diff --git a/logs/game24/gpt-4_0.7_naive_cot_sample_100_start900_end1000.json b/logs/game24/gpt-4_0.7_naive_cot_sample_100_start900_end1000.json
deleted file mode 100644
index a97cb4c..0000000
--- a/logs/game24/gpt-4_0.7_naive_cot_sample_100_start900_end1000.json
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-[{"idx": 900, "ys": ["Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: None", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * (10 - 10) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n5 - 4 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 6) * (5 - (10 - 6)) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: ((6 - 4) * 5) * (10 - 10) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (10 - 6) * (4 + 5) = 21", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((10 - 6) * 4) + 5 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (10 - 6) * (4 * 4) + 5 = 21", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * (6 * 6 / 5) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 5 * (10 - 4) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: (10 - 4) * (6 * 6) / 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 5) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 10)\n10 - 5 = 5 (left: 1.5 5)\n1.5 * 5 = 7.5 (left: 7.5)\n7.5 * 2 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((6 / 4) * (10 - 5)) * 2 + 9 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\nAnswer: (6 - 4) * 5 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 5 = 20 (left: 4 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n2 * 5 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * (10 / 10) = 24", "Steps:\n10 - 5 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 26 (left: 24)\nAnswer: (10 - 5) * 4 + 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n2 * 5 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 5) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 10)\n5 - 1.5 = 3.5 (left: 3.5 10)\n3.5 * 10 = 24 (left: 24)\nAnswer: (6 / 4) * (5 - (6 / 4)) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\nAnswer: (6 - 4) * 5 = 10 (No solution for 24)", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 + 10 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * (10 / 10) = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 5 = 20 (left: 4 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * 5) + (10 - 6) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 / 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: None", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (10 - 6) * (4 + 5) = 21", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: None", "Steps:\n6 * 4 = 24 (left: 5 10 24)\n10 - 5 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (10 - 5) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\n5 * 6 = 30 (left: 4 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * 6) - (10 - 4) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (10 - 6) * 4 + 5 = 21", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 / 7 = 24 (left: 24)\nAnswer: (10 * (5 + 6 - 4)) / 7 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 / 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 - 1\nAnswer: (5 * (10 - 4)) / 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 4 = 24 (left: 5 24)\n24 - 5 = 19 (left: 19)\nAnswer: (10 - 4) * 4 - 5 = 19", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 + 2 = 7 (left: 7 10)\n10 + 7 = 24 (left: 24)\nAnswer: (6 - 4 + 5) + 10 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (10 - 4) * (5 - 6 / 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 10)\n10 - 5 = 5 (left: 1.5 5)\n1.5 * 5 = 7.5 (left: 7.5)\n7.5 * 2 = 15 (left: 15)\n15 * 1.6 = 24 (left: 24)\nAnswer: (6 / 4) * (10 - 5) * 2 * 1.6 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (10 - 6) * (4 * 4) + 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (10 - 4) * ((6 * 5) / 6) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (10 - 4) / (6 - 6) * 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: (10 - 4) * 6 / 5 = 7.2", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 4) * 6 = 24", "Steps:\n5 + 6 = 11 (left: 4 10 11)\n10 - 4 = 6 (left: 6 11)\n6 * 11 = 66 (left: 66)\nAnswer: (5 + 6) * (10 - 4) = 66", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 - 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 6) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (10 - 4) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (6 - 4) * (10 - 5) = 20", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n5 - 6 = -1 (left: -1 6)\n6 * -1 = -6 (left: -6)\n-6 * 4 = 24 (left: 24)\nAnswer: (10 - 4) * (5 - 6) * 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * (5 * 2) = 24", "Steps:\n10 - 5 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 26 (left: 24)\nAnswer: (10 - 5) * 4 + 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 / 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 / 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (not valid, try another combination)\n\n5 * 6 = 30 (left: 4 10 30)\n30 - 10 = 20 (left: 4 20)\n20 - 4 = 16 (not valid, try another combination)\n\n10 * 4 = 40 (left: 5 6 40)\n40 - 5 = 35 (left: 6 35)\n35 - 6 = 29 (not valid, no combination works)\n\nNo valid combination found", "Steps:\n4 * 5 = 20 (left: 6 10 20)\n20 + 6 = 26 (left: 10 26)\n26 - 10 = 24 (left: 24)\nAnswer: (4 * 5) + 6 - 10 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((10 - 4) / 6) * 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (10 - 4) * (5 - (6 / 6)) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (10 - 4) * 6 - 5 = 24 (incorrect input, cannot obtain 24)", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no possible solution with these numbers.", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 6) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 6) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 - 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (10 - 4) * (6 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (4 * (10 - 6)) + 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((10 - 4) / 6) * 5 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * (10 / 10) = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 4 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nThere is no solution for this input.", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (10 - 4) * 6 - 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (10 - 4) * 5 - 6 = 24", "Steps:\n10 - 6 = 4 (left: 4 4 5)\n4 * 5 = 20 (left: 4 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n6 - 4 = 2 (left: 2 5 10)\n2 * 5 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\n\nUnfortunately, it is not possible to obtain 24 from the given numbers 4, 5, 6, and 10 using only basic arithmetic operations.", "Steps:\n6 * 4 = 24 (left: 5 10 24)\n10 - 5 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (10 - 5) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 4) * (6 / 6) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 6960, "prompt_tokens": 2185, "cost": 0.48314999999999997}}, {"idx": 901, "ys": ["Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (cannot form 24 with given numbers)", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible to obtain 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (7 - 4)) * (6 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 1) * 4 / 2 = 24", "Steps:\n4 - 1 = 3 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n4 / 2 = 2 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (4 / 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n4 + 2 = 6 (left: 1 6 7)\n6 * 4 = 24 (left: 1 7 24)\n24 - 1 = 23 (left: 7 23)\n23 + 7 = 24 (left: 24)\nAnswer: (4 + 2) * 4 - 1 + 7 = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * (2 * 2) = 24 (left: 24)\nAnswer: (7 - 4) * (3 - 1) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 * 2 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: Not possible", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (7 - 1) * (2 * 4) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 1) * (6 / 2) = 24", "Steps:\n4 / 2 = 2 (left: 1 2 7)\n1 + 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: Cannot make 24 using these numbers", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n7 - 1 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n7 * 4 = 28 (left: 1 2 28)\n28 - 2 = 26 (left: 1 26)\n26 - 1 = 25 (left: 24)\nAnswer: (7 * 4) - 2 - 1 = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution with these numbers.", "Steps:\n7 * 4 = 28 (left: 1 2 28)\n28 - 2 = 26 (left: 1 26)\n26 - 1 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((7 * 4) - 2) - 1 = 24", "Steps:\n4 + 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (4 + 2) * (7 - 1) = 24", "Steps:\n7 * 2 = 14 (left: 1 4 14)\n14 - 4 = 10 (left: 1 10)\n10 + 1 = 11 (left: 11)\n11 * 2 = 24 (left: 24)\nAnswer: (7 * 2) * ((14 - 4) + 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (7 - 1) = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (7 - 1) = 24", "Steps:\n4 + 1 = 5 (left: 2 5 7)\n7 - 2 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nThere is no way to obtain 24 with these numbers.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n\nThere is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible to achieve 24 with given numbers.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\nAnswer: Not possible", "Steps:\n4 - 1 = 3 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - (4 - 1))) * 3 = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no combination of these numbers that will result in 24.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: No valid combination can be found to obtain 24 with these numbers.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 / 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 / 2) = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 2 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 4) * (3 - 2) * 24 = 24", "Steps:\n1 * 7 = 7 (left: 2 4 7)\n4 - 2 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nNote: It is impossible to obtain 24 with these numbers using basic arithmetic operations.", "Steps:\n4 - 1 = 3 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to get 24 from these numbers.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 / 2) = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 - 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (2 * 4) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n7 - 1 = 6 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (7 - 1)) * 4 = 24", "Steps:\n4 - 1 = 3 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: 2 * (7 - (4 - 1)) = 8", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * (7 - 4) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 - 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution with these numbers.", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - 4) * 2 * 1 = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 1 = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 * 4 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (7 - 1) * 4 / 2 = 12", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n7 - 1 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 1) = 24", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n7 - 1 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 1) = 24", "Steps:\n4 + 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (4 + 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 / 2) = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (7 - 2) * (5 - 1) = 16", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\nAnswer: (7 - 1) * (4 - 2) = 12", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo solution.", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (7 - 4)) * (4 * 6) = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (7 - 2) * (5 - 1) = 16", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nNo solution found.", "Steps:\n4 - 1 = 3 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n\nAnswer: There is no solution for this input.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((7 - 1) / 2) * 4 * 2 = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n1 + 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (1 + (7 - 2)) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: 16 (cannot obtain 24)", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (7 - 1)) * 2 = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This input is impossible to make 24.", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (7 - 1) * (2 * 4) = 48", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((7 - 4) - 1) * 6 = 24", "Steps:\n4 + 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (4 + 2) * (7 - 1) = 24", "Steps:\n(7 - 4) = 3 (left: 1 2 3)\n2 * 1 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 2) * (7 - 4) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 / 2) = 24", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n7 - 1 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n\nThere is no possible way to obtain 24 from the input numbers.", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (7 - 4) * (3 - 1) = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 * 2 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: Unfortunately, it is not possible to obtain 24 with the given numbers.", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 + 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 + (7 - 4)) * (2 * 4) = 24", "Steps:\n4 / 2 = 2 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (4 / 2) * (7 - 1) = 24", "Steps:\n4 * 7 = 28 (left: 1 2 28)\n28 - 1 = 27 (left: 2 27)\n27 - 2 = 25 (left: 25)\nAnswer: (1 + 2) * (4 * 7) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 - 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n7 - 2 = 5 (left: 1 4 5)\n4 + 1 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nAnswer: (7 - 2) * (4 + 1) = 25", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (7 - 1)) * ((6 / 2) * 4) = 24", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n8 - 1 = 7 (left: 7 7)\n7 * 7 = 49 (left: 49)\nThis input cannot be used to obtain 24.", "Steps:\n4 * 2 = 8 (left: 1 7 8)\n8 - 1 = 7 (left: 7 7)\n7 * 7 = 49 (left: 49)\nAnswer: This input cannot obtain 24.", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 1 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 4) * 6 = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 4 = 3 (left: 1 2 3)\n3 - 2 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (7 - 1)) * 4 = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (7 - 1) * (4 - 2) = 24", "Steps:\n7 - 1 = 6 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (7 - 1) * (4 - 2) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 13512, "prompt_tokens": 4370, "cost": 0.94182}}, {"idx": 902, "ys": ["Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n\nAnswer: There is no solution for this input.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (8 - (11 - 5)) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (11 - 8) * 2 * 5 = 30", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 + 2 = 17 (left: 17)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 3 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Unfortunately, it is not possible to obtain 24 with the given numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThere is no way to obtain 24 from the given numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nThere is no way to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no solution for this input", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 5) * 2 * 2 = 24", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 2) * (9 - 5) = 32", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nAnswer: No solution found", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nAnswer: There is no solution for this input.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input cannot produce 24 using the given operations.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (11 - 8) * 2) - 6 = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 5) * (8 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible to obtain 24.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None (The given numbers cannot be combined to form 24)", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt's not possible to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution found.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: The given numbers cannot form 24 using basic arithmetic operations.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (11 - 5) * (8 / 4) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 3 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This set of numbers cannot be used to obtain 24.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution found.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nUnfortunately, it is not possible to obtain 24 from these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to reach 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 * 8 = 24 (left: 24)\nAnswer: (2 * (11 - 5)) * 8 = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This combination cannot form 24.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input cannot result in 24.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\nAnswer: There is no possible solution.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (11 - 5) * 2 * 8 / 4 = 24", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\n7.5 * 2 = 24 (left: 24)\nAnswer: (2 * (11 - 8)) * (15 / 2) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: It is not possible to obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: 24 cannot be obtained with the given numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 5) / 2 * 8 = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 + 2 = 17 (left: 17)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n2 * 5 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (11 - 8) * (2 * 5) = 30", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: This input cannot produce 24 with the given rules.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input cannot produce 24 using the given operations.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (11 - 8) * 2 * 5 = 30", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 2) * (9 - 5) = 32", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to make 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input does not produce 24 with the given operations.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no possible way to get 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 + 2 = 17 (left: 17)\nThe input 2 5 8 11 cannot make 24 using basic arithmetic operations.", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input is not possible to obtain 24.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Cannot form 24 with given numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no sequence of operations that results in 24.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (11 - 5)) * 2 = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 8 = 3 (left: 2 5 3)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (5 - 2) = 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (11 - 5)) * 2 = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nSorry, I cannot find a solution for these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNote: It is not possible to get 24 with these numbers using the given operations.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 / 2 = 7.5 (left: 7.5)\nAnswer: No solution", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 2) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Unable to obtain 24", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution found", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n2 * 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (2 * (11 - 8)) * 5 = 30", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (2 * (11 - 8)) * 5 = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo combination to make 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n3 * 2 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (11 - 8) * 2 * 5 = 30", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n2 + 4 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 + (11 - 5)) * (8 - (11 - 5)) = 24", "Steps:\n11 - 8 = 3 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\nNo solution found.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution found.", "Steps:\n11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 19576, "prompt_tokens": 6555, "cost": 1.37121}}, {"idx": 903, "ys": ["Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 + (4 * 4 - 13)) * 2 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 + ((4 * 4) - 13)) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Unable to reach 24 with given numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution is possible.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: 3 * (13 - 4 - 4) = 15", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 24 (left: 24)\nAnswer: 3 * (4 * 4 - 13) = 24", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: 3 * (13 - 4 - 4) = 15", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((13 - 4) - 4) * 3 = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n24 - 9 = 15 (left: 15)\n15 / 3 = 5 (left: 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * 4 * 4) - 13 + (3 * 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 + 9 = 24 (left: 24)\nAnswer: (3 * (4 * 4 - 13)) + 3 = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 24 (left: 24)\nAnswer: (4 * 4 - 13) * 3 + 3 = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 + (4 * 4 - 13)) * 2 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Cannot be obtained with these numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no possible operation that can be performed to get 24 from given numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (10 - (13 - 3)) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n4 - 3 = 1 (left: 1 4 13)\n4 * 1 = 4 (left: 4 13)\n13 - 4 = 9 (left: 9)\n9 * 4 = 24 (left: 24)\nAnswer: (3 - 4) * (13 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThere is no solution to obtain 24 from these numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution with this set of numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution available.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible to reach 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 3 = 24 (left: 24)\nAnswer: (3 * (9 - 4)) + (13 - 4) = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this input.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 * 2) * (3 * (4 * 4 - 13) - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 from these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution to get 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 4)) + (13 - 4) = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 3 = 10 (left: 8 10)\n8 * 10 / 2 = 24 (left: 24)\nAnswer: 8 * (13 - 3) / 2 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: 3 * (4 - (13 - 4)) + 9 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Cannot form 24 using these numbers.", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution using these numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 + (4 * 4 - 13)) * 2 = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input with the given allowed operations.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 + 9) * 2 = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Invalid Input, cannot make 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution with the given numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot produce 24 with the given operations.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 3) * (4 - (16 - 10)) = 24", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThere is no solution for this input as the highest possible number is 9.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: not possible", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible combination to get 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot create 24 using the given operations.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nThis input is not possible to make 24.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 4)) + (13 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for obtaining 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 4 - 3) = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (13 - (4 + 4))) + 9 = 24", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n24 - 9 = 15 (left: 15)\n3 + 15 = 24 (left: 24)\nAnswer: (3 * 4 * 4 - 13) + 3 = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (13 - (4 + 4))) + 9 = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no combination of these numbers that equals 24.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: 9", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found.", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot form 24 with the given operations.", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (13 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 4) * (13 - 3) = 24", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no valid sequence of operations to obtain 24 from the given numbers.", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 + (4 * 4) - 13) * 2 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 4) * (9 - 3) = 24", "Steps:\n4 * 4 = 16 (left: 3 13 16)\n16 - 13 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 24 (left: 24)\nAnswer: (3 * 4 * 4 - 13) * 3 = 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no combination of these numbers using basic arithmetic operations that will equal 24.", "Steps:\n4 + 4 = 8 (left: 3 8 13)\n13 - 3 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: This input cannot form 24", "Steps:\n13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 26142, "prompt_tokens": 8740, "cost": 1.83072}}, {"idx": 904, "ys": ["Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no possible solution using these four numbers to obtain 24.", "Steps:\n7 - 6 = 1 (left: 1 8 9)\n9 - 8 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (9 - 8) * 24 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No combination exists to obtain 24", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no way to obtain 24 with the given numbers.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (9 - 7) * 6 * 2 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no valid solution for this set of numbers.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nUnfortunately, there is no possible way to obtain 24 using these numbers.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n7 + 9 = 16 (left: 2 16)\n2 * 16 = 24 (left: 24)\nAnswer: (8 - 6) * (7 + 9) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n7 - 6 = 1 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo solution found.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 + 8 = 15 (left: 3 15)\n3 * 15 = 24 (left: 24)\nAnswer: (9 - 6) * (7 + 8) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no way to obtain 24 using these numbers. Answer: not possible.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 using these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution found", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 7) * (6 / 2) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Unfortunately, it is not possible to obtain 24 with 6 7 8 9 using basic arithmetic operations.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 * 4 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n2 * 3 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nUnfortunately, there is no solution for this set of numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nNo solution.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution is possible for this input.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThis combination cannot obtain 24.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no possible solution to reach 24 with these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no possible combination to obtain 24 from these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n7 + 9 = 16 (left: 6 8 16)\n16 - 8 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no solution for this input.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis set of numbers cannot be manipulated to get 24.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n7 + 9 = 16 (left: 6 8 16)\n6 - 8 = -2 (left: -2 16)\n-2 * 16 = -32 (left: -32)\nAnswer: There is no combination of these numbers that can equal 24.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: The given numbers cannot form 24 using basic arithmetic operations.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This combination is not possible.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 * 3 = 21 (left: 8 21)\n21 + 3 = 24 (left: 24)\nAnswer: (9 - 6) * 7 + 3 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n7 + 2 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No possible solution", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Invalid", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n7 - 2 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: (7 - (8 - 6)) * 9 = 45", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This combination of numbers cannot be used to obtain 24.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution found.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: (8 - 6) * (9 - 7) = 4", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution found.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis combination of numbers cannot obtain 24 using basic arithmetic operations.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n6 * 7 = 42 (left: 8 9 42)\n42 - 9 = 33 (left: 8 33)\n33 - 8 = 24 (left: 24)\nAnswer: (6 * 7) - 9 - 8 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nNo solution found.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (8 - 6) * ((9 - 7) * 6) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (8 - 6) * (9 - 7) * 6 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nNo solution found.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nThere is no possible solution with these numbers.", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n7 - 6 = 1 (left: 1 8 9)\n9 - 8 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * 24 = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo solution found.", "Steps:\n6 + 8 = 14 (left: 7 9 14)\n14 - 7 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\nAnswer: There is no solution using these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no way to obtain 24 from these numbers.", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 6) * (8 - 7) = 24", "Steps:\n9 - 6 = 3 (left: 3 7 8)\n7 * 3 = 21 (left: 8 21)\n21 + 8 = 29 (left: 29)\nAnswer: (9 - 6) * 7 + 8 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 32242, "prompt_tokens": 10925, "cost": 2.26227}}, {"idx": 905, "ys": ["Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution found.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 13 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nCannot obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (1 + (13 - 11)) * 11 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n13 - 1 = 12 (left: 12 22)\n22 + 2 = 24 (left: 24)\nAnswer: (11 + 11) + (13 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no solution for these numbers.", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 13 = 9 (left: 1 9)\n1 * 9 = 9 (left: 9)\nAnswer: (11 + 11 - 13) * 1 = 9", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no solution with these numbers.", "Steps:\n11 * 2 = 22 (left: 1 11 22)\n22 + 1 = 23 (left: 11 23)\n23 + 11 = 24 (left: 24)\nAnswer: (11 * 2 + 1) + 11 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThere is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n11 + 1 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (11 + 1) * (13 - 11) = 24", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 1 = 21 (left: 13 21)\n21 + 13 = 24 (left: 24)\nAnswer: (11 + 11 - 1) + 13 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 13 = 9 (left: 1 9)\n1 * 9 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n\nThere is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 2 = 9 (left: 1 9)\n9 * 2 = 18 (left: 1 18)\n18 + 1 = 19 (left: 19)\nAnswer: Not possible to get 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (13 - 11) * (11 - 1) = 20", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (13 - 11) * (11 - 1) = 20", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (13 - 11) * (11 - 1) = 20", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution found.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 13 = 9 (left: 1 9)\n1 * 9 = 9 (left: 9)\nThere is no possible solution.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThis input cannot form 24 using the given operations.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Invalid Input, cannot obtain 24 with these numbers.", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 + 1 = 23 (left: 13 23)\n23 + 13 = 24 (left: 24)\nAnswer: ((11 + 11) + 1) + 13 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution found.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no possible way to obtain 24 with these numbers using basic arithmetic operations.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution found.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (13 - 11) * (11 - 1) = 20", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 2 = 9 (left: 1 9)\n1 * 9 = 9 (left: 9)\n9 + 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((13 - 11) * 9) + (11 - 2) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n2 * 11 = 22 (left: 1 22)\n22 + 1 = 24 (left: 24)\nAnswer: (13 - 11) * 11 + 1 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: This combination of numbers cannot be used to obtain 24.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n11 + 1 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (11 + 1) * (13 - 11) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 11 11 12)\n11 + 11 = 22 (left: 12 22)\n22 - 12 = 10 (left: 10)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 1) * 2 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Cannot be done with the given numbers.", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24", "Steps:\n11 + 11 = 22 (left: 1 13 22)\n22 - 1 = 21 (left: 13 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 + (11 + 11)) + 3 = 24", "Steps:\n13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (13 - 11) * (11 - 1) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 38405, "prompt_tokens": 13110, "cost": 2.6976}}, {"idx": 906, "ys": ["Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (11 - 8) * (10 - 1) = 27", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 + 8 = 24 (left: 24)\nAnswer: (8 * (11 - 10)) + 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 * 2 = 16 (left: 16)\nAnswer: None", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((11 - 1) / 10) * 8 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 21", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((11 - 1) / 10) * 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no solution using these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: 7 * (11 - 8) * (10 - 3) = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 - 8) = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (11 - 1)) / 10 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (11 - 8)) * (10 - 3) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: (11 - 10) * (1 + 1) * 8 = 24 (incorrect)", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * 8) * ((11 - 1) / 10) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 10) * (1 + 1) * 8 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (11 - (10 / 10)) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 10) * (1 + 1) * 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (11 - 1) * (10 - 8) = 20", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (11 - 1) / 10 * 8 = 8", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (11 - 8) * (10 - 1) = 27", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (11 - 1) * (10 - 8) = 20", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: (11 - 10) * 8 = 16", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 21", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (11 - 1)) / 10 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 21", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 + 10 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) + 10 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 21", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * (11 - 8) = 24 (left: 24)\nAnswer: (1 * (10 - 3)) * (11 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: (11 - 8) * (10 - 3) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: Invalid input (no solution)", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n3 - 1 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (11 - 8) * (10 - (3 - 1)) = 20", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (11 - 1) * (8 / 10) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21 1)\n21 + 1 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 3) + 1 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution can be found with these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: 1 * (10 - (11 - 8)) = 7\nThere is no solution for this input using these restrictions.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (11 - 8) * (10 - 1) = 27", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no possible solution with these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: (1 * (10 - (11 - 8))) * 7 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 10) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 24)\nAnswer: (11 - 10 + 1) * 8 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: 1 * (10 - (11 - 8)) = 21", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: 1 * (10 - (11 - 8)) = 7", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 8 1)\n8 * 1 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (3 * (1 + (11 - 1) / 10)) = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 - 8) = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (11 - 1) / (10 / 10) * 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) + 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible to obtain 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 / 3 = 3.333 (left: 1 3.333)\n3.333 * 1 = 3.333 (left: 3.333) \n\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (1 * 8) * (11 - 1) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: (11 - 10) * (1 + 1) * 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * (11 - 8) = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 7 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 from these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n3 * 7 = 21 (left: 21)\n2 + 21 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: 1 * (10 - (11 - 8)) = 7", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: (11 - 8) * (10 - 3) = 7", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 8 1)\n8 * 1 = 8 (left: 8)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n8 * 2 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (8 * (11 - 10)) + 8 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3.428571428571429 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3.428571428571429 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n10 - 1 = 9 (left: 3 9 11)\n9 - 3 = 6 (left: 6 11)\n6 * 11 = 66 (left: 66)\nAnswer: None", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nIncorrect input: No solution", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) * 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nSince 7 is not equal to 24, there is no solution for this input.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 8))) + 3 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: No combination of these numbers will equal 24.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((11 - 8) * (10 - 3)) + 3 = 24", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: There is no possible solution for this set of numbers.", "Steps:\n11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 24)\nAnswer: (11 - 1) * (10 - 8) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 45384, "prompt_tokens": 15295, "cost": 3.18189}}, {"idx": 907, "ys": ["Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: This combination cannot make 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 3) * (6 * 6 / 9) = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * (6 - 9) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: (6 / 2) * 3 * 9 = 81", "Steps:\n9 - 6 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: There is no solution with these numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (not possible to reach 24)\n\nThere is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nNo possible solution.", "Steps:\n2 + 3 = 5 (left: 5 6 9)\n6 * 5 = 30 (left: 9 30)\n30 - 9 = 24 (left: 24)\nAnswer: (2 + 3) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81) \n\nAnswer: This set of numbers cannot be used to obtain 24 using basic arithmetic operations.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * (6 - 9) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nThere is no solution for this set of numbers to obtain 24 using only basic arithmetic operations.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nUnfortunately, there is no way to make 24 using the numbers 2, 3, 6, and 9 with the given rules.", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * (6) - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (not possible to get 24)\n\nThere is no solution to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n9 - 6 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo possible solution.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (6 + 6) = 24", "Steps:\n2 + 3 = 5 (left: 5 6 9)\n6 * 5 = 30 (left: 9 30)\n30 - 9 = 24 (left: 24)\nAnswer: (2 + 3) * 6 - 9 = 24", "Steps:\n9 - 6 = 3 (left: 2 3 3)\n3 * 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution with these given numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input does not allow for a combination that results in 24.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (no solution)\nAnswer: no solution", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n9 + 2 = 11 (left: 3 6 11)\n6 - 3 = 3 (left: 3 11)\n11 * 3 = 33 (left: 33)\n3 * 2 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3)\n3 * 3 = 9 (left: 9)\n3 * 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\n6 / 3 = 2 (left: 2 9)\n9 - 2 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nThere is no solution for this input.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((3 * 2) * 6) / 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * (6) - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nNo combination of these numbers can equal 24.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * (6) - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * 6 / 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((3 * 2) * 6) / 9 = 24", "Steps:\n2 + 3 = 5 (left: 5 6 9)\n6 * 5 = 30 (left: 9 30)\n30 - 9 = 24 (left: 24)\nAnswer: (2 + 3) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * (6 - 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((3 * 2) * 6) / 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nAnswer: None, there is no way to obtain 24 from these numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * (6 - 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((3 * 2) * 6) - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNot possible to obtain 24 with these numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 27)\nAnswer: (3 * 2) * (6 - 9) = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * 6 / 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nThere is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: This set of numbers cannot make 24.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((3 * 2) + 6) * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2 + 6) * 2 = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 27)\nAnswer: (2 * 3) * (6) - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 27)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 / 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 * 6 / 9) = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (2 * 3) * (6 * 6) - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nCannot obtain 24 with these numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nThere is no way to obtain 24 with the given numbers.", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * 6 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 27 (left: 24)\nAnswer: (3 * 2) * (6) - 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2 + 6) * (9 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 + 9 = 18 (left: 18)\nAnswer: No solution", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n12 * 9/3 = 24 (left: 24)\nAnswer: (3 * 2 + 6) * (9 / 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution for this set of numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nNo solution.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 + 9 = 18 (left: 24)\nAnswer: (6 / 2) * 3 + 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n9 - 6 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: Not possible to obtain 24", "Steps:\n3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (3 * 2) * 6 - 9 = 24", "Steps:\n2 * 3 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (2 * 3) * 6 - 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n9 - 6 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nNo combination of the given numbers using basic arithmetic operations can result in 24.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nAnswer: There is no solution to obtain 24 with the numbers 2, 3, 6, and 9 using basic arithmetic operations.", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution for this input."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 51950, "prompt_tokens": 17480, "cost": 3.6414}}, {"idx": 908, "ys": ["Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\nAnswer: (3 * (9 - 5)) * (4 - 1) = 27", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((9 - 5) - 1) * 3 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n3 - 1 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (3 - 1) * (9 - 5) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (1 * 24) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * ((4 - 1) * 3) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution with these numbers.", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (9 - 5)) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n1 + 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nIt is not possible to obtain 24 with the given numbers 1, 3, 5, and 9.", "Steps:\n3 * 5 = 15 (left: 1 9 15)\n15 - 9 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 5 - 9) * 4 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n1 * 3 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 * 3) * (9 - 5) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n3 * 5 = 15 (left: 1 9 15)\n15 - 9 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * (3 * 5 - 9)) = 6", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 * 3 = 12 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * 3 * 1 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n3 - 1 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (3 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n3 * 1 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: There is no possible solution with these numbers.", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\nAnswer: Cannot obtain 24 from given numbers", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) - 3 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (1 + (4 - 3)) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (9 - 5)) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (3 - (9 - 5)) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (3 - 1) = 24 (left: 24)\nAnswer: 9 * (3 - (9 - 5)) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n3 - 1 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (3 - 1) * (9 - 5) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: 24 * (9 - 5 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) = 24", "Steps:\n5 - 1 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this set of numbers to obtain 24.", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\nAnswer: This combination of numbers cannot be used to obtain 24 using the given constraints.", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((9 - 5) - 1) * 3 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 * 3 = 12 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * 3 * 1 = 24", "Steps:\n3 * 5 = 15 (left: 1 9 15)\n15 - 9 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (15 - 9)) * 4 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 * 3 = 12 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * 3 * 1 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (3 - 1) = 24 (left: 24)\nAnswer: 9 * (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((9 - 5) - 1) * 3 = 24", "Steps:\n1 + 3 = 4 (left: 4 5 9)\n9 - 5 = 4 (left: 4 4)\n4 * 4 = 24 (left: 24)\nAnswer: (1 + 3) * (9 - 5) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 3) * 24 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (3 - 1) = 24 (left: 24)\nAnswer: 9 * (3 * (9 - 5) - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 3 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\nAnswer: None", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 * 3 = 12 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * 3 * 1 = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (9 - 5) * (4 - 1) = 9", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n3 - 1 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (3 - 1) = 24", "Steps:\n9 - 5 = 4 (left: 1 3 4)\n4 - 1 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 5) * (4 - 1) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 58662, "prompt_tokens": 19665, "cost": 4.1096699999999995}}, {"idx": 909, "ys": ["Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * (15 / 3) = 24", "Steps:\n3 * 3 = 9 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThere is no valid solution for this input.", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * 2 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 3) * 3 * (12 / 12) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 3) * (12 - 4) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 * 3 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\n19 + 5 = 24 (left: 24)\nAnswer: (12 / 3) * 3 + (7 + 5) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 3) * (7 - 3) = 16", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 - 1 = 24 (left: 24)\nAnswer: ((12 - 7) * 3) / 3 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: ((12 - 7) * 3) / 3 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nThere is no solution for this input.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nUnfortunately, this input cannot result in 24 using the given operations.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo solution.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (12 - 7) * (15 / 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (7 - 3) * 3 * (12 / 12) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * (12 - (7 - 3))) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nThis input does not have a solution to obtain 24.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: There is no solution with the given numbers.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (7 - 3) * 3 * (12 / 12) = 24", "Steps:\n12 - 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - 3) * (7 - 3) = 36", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (7 - 3) = 24 (left: 24)\nAnswer: 3 * (12 / (7 - 3)) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * ((3 * 5) / 3) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) + 3 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: 12 / 3 * (7 - 3) != 24", "Steps:\n12 - 3 = 9 (left: 3 7 9)\n9 - 7 = 2 (left: 3 2)\n3 * 2 = 6 (left: 6)\nThere is no way to obtain 24 using these numbers.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) + 3 = 24", "Steps:\n3 * 3 = 9 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n\nThere is no way to obtain 24 with these numbers.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (7 - 3)) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (7 - 3)) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 24 (left: 24)\nAnswer: (12 / 3) * (7 - 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (7 - 3)) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 - 3 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * (5 - (12 - 7))) * 4 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 3) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * (3 * 2) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 3) * (7 - 3) = 16", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: 3 * 3 * (12 - 7) = 45", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n3 + 7 = 10 (left: 3 10 12)\n10 + 3 = 13 (left: 12 13)\n13 + 12 = 25 (left: 25)\n\nSince we cannot get 24 from the given numbers, there is no solution in this case.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: ((12 - 7) * 3) / 3 = 24", "Steps:\n3 * 3 = 9 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No possible solution", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 * 3 = 12 (left: 7 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) * 2 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * 7) * (12 / 3 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nThis input cannot be used to obtain 24.", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 * 3 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n7 + 3 = 10 (left: 3 10 12)\n10 * 3 = 30 (left: 12 30)\n30 - 12 = 24 (left: 24)\nAnswer: (7 + 3) * 3 - 12 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) + 3 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 3) * (7 - 3) = 16", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (7 - 3) * (12 - 3) = 36", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: ((12 - 7) * 3) * (3 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 3) * (7 - 3) = 16", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 3) * 3 * (12 / 6) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 / (7 - 3))) * 2 = 24", "Steps:\n12 - 3 = 9 (left: 3 7 9)\n9 - 7 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: There is no solution for this input using only basic arithmetic operations.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 - 3 = 2 (left: 2 3)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (7 - 3)) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 - (7 - 3)) * (3 * 5) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 * 3 = 45 (left: 45)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: There is no solution for this combination.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n3 + 3 = 6 (left: 6 7 12)\n12 - 7 = 5 (left: 5 6)\n5 * 6 = 24 (left: 24)\nAnswer: (3 + 3) * (12 - 7) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: (12 - 7) * 3 = 15, no solution found.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) + 3 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * (12 / 12) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 + 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * (12 - (7 - 3))) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * (12 - (7 - 3))) = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * 2 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * 2 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) / 3 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * 2 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 - 3 = 12 (left: 12)\nAnswer: (3 * (12 - 7)) - 3 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * (3 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 3) * (7 - 3) = 16", "Steps:\n3 + 3 = 6 (left: 6 7 12)\n7 * 6 = 42 (left: 12 42)\n42 - 12 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: ((3 + 3) * 7) - 12 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 3) * (12 - 4) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 * 7 = 28 (left: 3 28)\n28 - 3 = 25 (left: 25)\nAnswer: (12 / 3) * 7 - 3 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: (3 * 3) * (12 - 7) = 45", "Steps:\n3 + 3 = 6 (left: 6 7 12)\n12 - 6 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - (3 + 3)) * 4 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 24 (left: 24)\nAnswer: (12 / 3) * (7 - 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (7 - 3) * (12 / 3) = 16", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 - 3 = 2 (left: 2 3)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (7 - 3)) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for this input.", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution possible", "Steps:\n7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo solution.", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n5 * 3 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 - 6 = 24 (left: 24)\nAnswer: (12 - 7) * 3 + 3 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n4 * 3 = 12 (left: 7 12)\n12 * 7 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) * 7 = 24", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 + 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 / (12 - 7) = 24 (left: 24)\nAnswer: (3 * (12 - 7)) * (3 + 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 65266, "prompt_tokens": 21850, "cost": 4.57146}}, {"idx": 910, "ys": ["Steps:\n9 + 4 = 13 (left: 5 7 13)\n13 - 7 = 6 (left: 5 6)\n5 * 6 = 30 (left: 24)\nAnswer: (9 + 4 - 7) * 5 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 * 3 = 15 (left: 9 15)\n15 + 9 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 * 3 = 15 (left: 9 15)\n15 + 9 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible way to obtain 24 using these numbers.", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution for this input.", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * (5) - 7 = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 7 = 28 (left: 4 28)\n28 - 4 = 24 (left: 24)\nAnswer: (9 - 5) * 7 - 4 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 4)) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 + 3 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (7 - 4 + 5) * 3 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * (7 - (25 - 7)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (7 - 4) * (9 - 5) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n7 + 5 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 5 - 9) * 4 = 24", "Steps:\n9 - 7 = 2 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (9 - 7)) * 4 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 4) * (5 + 7) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 4) * (9 - 5)) = 24", "Steps:\n4 * 5 = 20 (left: 7 9 20)\n9 - 7 = 2 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (9 - 7) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution for this input.", "Steps:\n9 - 7 = 2 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: It is not possible to obtain 24 with these numbers.", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: None", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 + 3 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (7 - 4 + 5) * 3 = 24", "Steps:\n4 * 5 = 20 (left: 7 9 20)\n9 - 7 = 2 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (9 - 7) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot form 24 with the given operations.", "Steps:\n5 + 4 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution", "Steps:\n9 - 7 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (9 - 7) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * (5 - (7 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 + 3 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (7 - 4 + 5) * 3 = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution for this input.", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (9 - 5) * (4) + 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: No solution", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (7 - 4) * (9 - 5) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n7 - 4 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (9 - 5)) * 4 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 4) * (5 * 5) - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nThere is no way to obtain 24 from these numbers. Answer: Not possible.", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 4)) * (9 - 5) = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 / (7 - 5) = 24 (left: 24)\nAnswer: (9 - 4) * 5 / (7 - 5) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 * 3 = 15 (left: 9 15)\n15 + 9 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 + 4 = 13 (left: 5 7 13)\n13 - 5 = 8 (left: 7 8)\n8 * 3 = 24 (left: 24)\nAnswer: (9 + 4 - 5) * 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 / (24/18) = 24 (left: 24)\nAnswer: (9 - 4) * (5 + 7) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n5 * 3 = 15 (left: 9 15)\n15 + 9 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) = 24", "Steps:\n4 + 5 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n\nAnswer: Not possible", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: Cannot form 24 from these numbers.", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * (5 - 1) = 18", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n4 + 5 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo valid operations can be performed to obtain 24.", "Steps:\n7 - 5 = 2 (left: 2 4 9)\n9 - 4 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nUnfortunately, it is not possible to obtain 24 from these given numbers.", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((7 - 4) * (9 - 5)) = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 4) * (5 * 5 - 7) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination cannot make 24.", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * (4 + 5) - 7 = 24", "Steps:\n4 * 5 = 20 (left: 7 9 20)\n9 - 7 = 2 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (9 - 7) = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 + 9 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24", "Steps:\n7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * (9 - 5) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n4 * 5 = 20 (left: 7 9 20)\n9 - 7 = 2 (left: 2 20)\n2 * 20 = 24 (left: 24)\nAnswer: (4 * 5) * (9 - 7) = 24", "Steps:\n9 - 5 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (9 - 4) * 5 - 7 = 24", "Steps:\n9 - 4 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (9 - 4) * 5 - 7 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 72144, "prompt_tokens": 24035, "cost": 5.04969}}, {"idx": 911, "ys": ["Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) * (12 / 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8 - (13 - 1)) * 6 = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8 - 2)) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: ((13 - 1) / 2) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Cannot make 24 with the given numbers.", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: (13 - 2) * (11 - 1) = 80\nNote: It is not possible to obtain 24 with the given numbers.", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 - (13 - 8)) * 2 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (13 - 8) * (5 - 1) \u2260 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 1) * (12 / 2) = 48", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n80 / 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (8 / 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8) - 2) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 - 13) * (2 * 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 - 13) * (2 * 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (8 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8 - (13 - 1)) * 6 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 1) / 2) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (8 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) * (8 / 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: (13 - 2) * (11 - 1) = 80", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 1) / 2) * 8 = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (13 - 1) * 2 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 1) / 2 * 8 = 48", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8) - (13 - 1) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (1 * (13 - 8)) * (5 - 1) = 8", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (13 - 8 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\n\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 8)) * (5 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8) - (13 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 * 2 = 24 (left: 8 24)\n24 - 8 = 24 (left: 24)\nAnswer: (13 - 1) * 2 + 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 1) / 2) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8 - (13 - 1)) * 6 = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (5 - 1)) * (13 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n12 * 6 = 72 (left: 72)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (13 - 1)) * (12 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (8 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 1) / 2) * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 8 - 12) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 2) = 24", "Steps:\n13 - 8 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (13 - 8)) * 2 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (8 * 6) * (13 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 8 = 24", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 1) / 2 * 8 = 48", "Steps:\n13 - 1 = 12 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 8 - (13 - 1)) * 6 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 79006, "prompt_tokens": 26220, "cost": 5.52696}}, {"idx": 912, "ys": ["Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n6 / (9 - 6) = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (6 * 6) / (9 - 6) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 / 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: 4 * (6 / (9 - 6)) = 8", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 * 6 = 9 (left: 9 9)\n9 + 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 / 4 * 6) + 9 + 9 = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no possible solution using these numbers.", "Steps:\n6 - 4 = 2 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 4) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n\nUnfortunately, there is no solution for this set of numbers.", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (6 + 6 - 9) * 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 4) * 6 = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nThe answer cannot be obtained using these numbers.", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: No solution", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((6 / 6) * (9 - 4)) + 4 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (9 - 4)) + 4 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 4 * (9 - 6 / 6) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (6 * 4) * (9 - 6) = 72", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n4 * 3 = 12 (left: 9 12)\n12 + 12 = 24 (left: 24)\nAnswer: (4 * (6 - 3)) + (6 + 6) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (9 - 6) * (6 - (9 - 6)) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 = 24 (left: 24)\nAnswer: (6 - 6 / 4) * 9 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 1.5 = 7.5 (left: 6 7.5)\n6 * 7.5 = 45 (left: 45)\nAnswer: (6 * 7.5) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 4 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (6 + 6 - 4) * 3 = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (6 + 6) - 9 * 4 = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no possible solution for this input.", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n4 + 6 = 10 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None", "Steps:\n6 - 4 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 - 4) * (9 - 6) * 4 = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 / 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - 6) / 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 4 * (9 - (6 / 6)) = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: None", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution for this input.", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - (6 / 6)) * 4 = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: No solution", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (6 / 6) * (9 - 4) = 5 (incorrect)\n\nUnfortunately, there is no solution for this set of numbers that results in 24.", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 = 24 (left: 24)\nAnswer: (6 / 4) * (6 - 1.5) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((6 / 6) * (9 - 4)) * 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 4) * 6 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 = 24 (left: 24)\nAnswer: (6 - 6 / 4) * 9 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 * 6 = 9 (left: 9 9)\n9 + 9 = 18 (left: 18)\n6 * (6 / 4) = 9 (left: 9 9)\n9 + 9 = 24 (left: 24)\nAnswer: (6 * (6 / 4)) + (9 - (6 / 4) * 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 * 4 = 48 (left: 9 48)\n48 / 9 = 24 (left: 24)\nAnswer: (4 * (6 + 6)) / 9 = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72) (This operation is not necessary, ignore this step)\nAnswer: 4 * 6 * (9 - 6) = 24", "Steps:\n6 - 4 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 - 4) * 6 + 9 = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n4 * 3 = 24 (left: 24)\nAnswer: 4 * (12 - 9) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 - 4 = 2 (left: 2 3)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - 4) * (9 - 6) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: There is no solution for this input.", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 4 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * 6) - (6 + 9) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 6 = 3 (left: 1.5 3)\n1.5 * 3 = 4.5 (left: 4.5)\n4.5 * 6 = 24 (left: 24)\nAnswer: (6 / 4) * (9 - 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (9 - 4)) + 4 = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n4 * 3 = 24 (left: 24)\nAnswer: 4 * (6 + 6 - 9) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (9 - 4) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 6) * ((6 + 6) - 9) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 9) - (6 + 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 6) - (6 + 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 6 = 3 (left: 1.5 3)\n1.5 * 3 = 4.5 (left: 4 4.5)\n4 * 4.5 = 18 (left: 18)\nAnswer: 4 * (6 / 4) * (9 - 6) = 18", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * 5) + (9 - 4) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n4 + 20 = 24 (left: 24)\nAnswer: (4 * (9 - 4)) + (6 / 6) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n4 * 3 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - 6)) * 2 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 * 6 = 9 (left: 9 9)\n9 * 9 = 81 (not possible)\n\nNo solution possible.", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution for this input.", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: (4 * 6 / 6) * (9 - 4) = 20", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (9 - 4)) + 4 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 = 40.5 (left: 40.5)\nAnswer: 4 * (6 - (6 / 4)) = 24", "Steps:\n4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 6 = 3 (left: 1.5 3)\n1.5 * 16 = 24 (left: 24)\nAnswer: (6 / 4) * (9 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 * 4 = 48 (left: 9 48)\n48 / 9 = 24 (left: 24)\nAnswer: (6 + 6) * 4 / 9 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (4 * (9 - 4)) - (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (6 + 6) * (4 - 9) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nNo solution", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: None", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n4 * 6 = 24 (left: 24)\nAnswer: ((6 / 6) * (9 - 4)) * 4 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 = 24 (left: 24)\nAnswer: (6 - 6 / 4) * 9 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n4.5 * 9 / 1.5 = 24 (left: 24)\nAnswer: 9 * ((6 - 6 / 4) / 1.5) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 / 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 + 6) / 4 * 9 - 3 = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n4 * 3 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: 4 * (9 - 6) * 2 = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n6 - 9 = -3 (left: -3 24)\n-3 + 24 = 24 (left: 24)\nAnswer: (6 * 4) + (6 - 9) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (9 - 4) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (6 + 6) - 9 * 4 = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (6 / 6) * (9 - 4) + 4 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 * 6 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: No combination found", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 4 * (9 - (6 / 6)) = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 9 27)\n9 - 4 = 5 (left: 5 27)\n27 - 5 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: ((6 / 6) * (4 - 1)) + 9 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 6 9)\n6 * 1.5 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nSince there is no solution for this set, the answer is \"Not possible\".", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 4 * (9 - (6 / 6)) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((9 - 6) * 4) * (6 - (9 - 6)) = 24", "Steps:\n9 - 6 = 3 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - 6)) * (6 - (9 - 6)) = 24", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None (not possible to obtain 24)", "Steps:\n6 / 6 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n9 - 3 = 6 (left: 6 27)\n27 - 6 = 24 (left: 24)\nAnswer: (9 - (4 - 6 / 6)) * (27 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 4 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (6 + 6 - 4) * 3 = 24", "Steps:\n6 * 4 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * 4) * (9 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n3 * 4 = 24 (left: 24)\nAnswer: (6 + 6) * (12 - 9) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 86099, "prompt_tokens": 28405, "cost": 6.01809}}, {"idx": 913, "ys": ["Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nNo solution", "Steps:\n1 * 4 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nUnfortunately, it is not possible to get 24 with the given numbers 1, 4, 4, and 8 using only basic arithmetic operations.", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThere is no possible solution for this input.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - (8 * 1) = 24", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nAnswer: There is no possible solution with these numbers.", "Steps:\n4 / 4 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 - 1 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: This set of numbers cannot make 24.", "Steps:\n1 * 4 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nUnfortunately, there is no combination of these numbers that results in a final value of 24.", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nAnswer: No possible solution", "Steps:\n4 / 1 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this input.", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 / 8 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (4 + 4)) / 8 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 + 8 = 24 (left: 24)\nAnswer: (1 * (16 - 8)) + 8 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible.", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nAnswer: (8 - 4) * 4 + 1 = 17", "Steps:\n1 + 4 = 5 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (1 + 4) * 4 + 8 = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Invalid Input (no solution)", "Steps:\n4 + 8 = 12 (left: 1 4 12)\n12 - 4 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (4 + 8) * (12 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 * (16 - 8)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - 8 = 8", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * 1 = 24", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (8 / 4) * 4 * 1 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 1) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nNo solution", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 - 1 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\n\nUnfortunately, it is not possible to obtain 24 using the given numbers and the specified rules.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * 1 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * 1 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: 1 * (16 - 8) = 24", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 8 / 4)) * 12 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * 1 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: 1 * (4 * 4 - 8) = 24", "Steps:\n4 / 4 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (4 / 4 + 1) * 8 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * 1 = 24", "Steps:\n4 / 4 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (4 / 4 + 1) * 8 = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 - 1 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (4 + 4) * (8 - 1) = 56", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 - 1 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 4) * (4 - 1) * 2 = 24", "Steps:\n4 / 4 = 1 (left: 1 1 8)\n1 + 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\nAnswer: (4 + 4) * 1 + 8 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4 - 8) * 1 = 8", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - 8 = 8", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - 8) = 24", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (8 / 4) = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible.", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 8 / 4)) * 12 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nUnfortunately, it is not possible to obtain 24 with these given numbers.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4 - 8) * 1 = 8", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n1 + 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n1 * 12 = 24 (left: 24)\nAnswer: (1 * (8 / 4 + 1)) * 4 = 24", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nAnswer: No solution", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 1) = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 - 1 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (4 + 4) * (8 - 1) = 56", "Steps:\n1 + 4 = 5 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (1 + 4) * 4 + 8 = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: 1 * (4 * 4 - 8) = 8", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 - 1 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (1 * (16 - 8)) = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (16 - 8)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4 - 8) * 1 = 8", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: 24 cannot be obtained with these numbers.", "Steps:\n1 + 4 = 5 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (1 + 4) * 4 + 8 = 24", "Steps:\n8 - 1 = 7 (left: 4 4 7)\n7 - 4 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 1) * (7 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - 8 = 8", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: No solution", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - 8 = 8\nUnfortunately, it is not possible to obtain 24 with the given numbers.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - 8) = 24", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nNo solution found.", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 + 4 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (8 - 4) * (4 + 4) = 24", "Steps:\n1 + 4 = 5 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (1 + 4) * (8 - (4 + 1)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (16 - 8) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (8 / 8)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThis input does not have a solution that equals 24.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n8 - 4 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 + 1 = 17 (left: 17)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no possible combination of these numbers to reach 24.", "Steps:\n4 + 4 = 8 (left: 1 8 8)\n8 * 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: 64 / (8 * (4 + 4)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Cannot obtain 24 with given numbers", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 + (8 - 16)) = 24", "Steps:\n1 + 4 = 5 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 28 (left: 28)\nAnswer: (1 + 4) * 4 + 8 = 28", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (8 - 16)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 4) - 8 = 8\nNote: It is not possible to obtain 24 using the given numbers.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (1 - (16 - 8)) = 24", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no solution for this input.", "Steps:\n4 * 4 = 16 (left: 1 8 16)\n16 - 8 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution found", "Steps:\n8 / 4 = 2 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 8 / 4)) * 12 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 92361, "prompt_tokens": 30590, "cost": 6.45936}}, {"idx": 914, "ys": ["Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: 10 * (1 + (11 - 10)) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 / 6 = 5/3 (left: 1 5/3)\n1 * 5/3 = 5/3 (left: 5/3)\nAnswer: Not possible", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (10 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n10 - 1 = 9 (left: 5 9 11)\n11 - 5 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (10 - 1) * (11 - 5) = 54", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: ((11 - 1) / 5) * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 * 5 = 50 (left: 10 50)\n50 / 10 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (11 - 1) * 5 / (10 / 5) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 * 1 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 10) * 1) * 5 - 1 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 24 (left: 24)\nAnswer: (1 + 5) * 2 + (11 - 10) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (11 - 5)) * 4 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (1 + (11 - 10)) * 5 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 / 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 + (11 - 10)) * 5 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 1 = 10 (left: 10)\nAnswer: Cannot obtain 24 with the given numbers.", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (11 - 5) * (10 - 1) = 54", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * 10 / 5 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 - 1 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: ((11 - 10) * 5) + 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * 10 / 5 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * (11 - 10) = 24 (left: 24)\nAnswer: (1 * 5) * (11 - 10) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (11 - 5)) * 4 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (11 - 5) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 / 1 = 16 (left: 16)\nAnswer: No solution", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 * 5 = 5 (left: 1 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 10) * 5) - 1 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 / 1 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\nAnswer: (11 - 5) * (10 / 1) = 60", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (1 - 11) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 10 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 1 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 1 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (((((1 + (11 - 10)) * 5) + 1) * 2) + 1) + 1 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: ((11 - 1) / 5) * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 1 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (1 + (11 - 10)) * (5 + 1) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (1 * 5) * (11 - 10) = 10", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (11 - 5))) * 6 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24", "Steps:\n11 - 5 = 6 (left: 1 6 10)\n6 - 1 = 5 (left: 5 10)\n5 * 10 = 24 (left: 24)\nAnswer: (1 + (11 - 5)) * 10 = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 1 = 10 (left: 24)\nAnswer: ((11 - 10) * 5) * (1 + 1) = 24", "Steps:\n11 - 10 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 1 = 24 (left: 24)\nAnswer: (1 * 5) * (11 - 10) = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) / 5 * 10 = 24", "Steps:\n11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (10 / 5) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 99405, "prompt_tokens": 32775, "cost": 6.94755}}, {"idx": 915, "ys": ["Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n(No solution)", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 + (3 * 2)) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no valid arithmetic operation to obtain 24 from the input numbers.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * (11 - 4)) - 6 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 5 = 60 (not possible)\n\nThere is no possible combination of arithmetic operations with the given numbers that can result in 24.", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 3 - 6) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution found.", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * (11 - 4)) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) * 4 = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 5 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 6) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 + 3 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 4 * (11 - 6 + 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (2 * (5 - 3)) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no possible solution.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: ((11 - 6) * (4 - 3)) * 5 = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (incorrect, no solution found)", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: This combination of numbers cannot form 24.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 5, which is not equal to 24. No solution found.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (4 * (11 - 6) - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (3 + 4) * (11 - 6) = 35", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 + (5 - 3)) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) + 4 = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4 - 3) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 6) * (4 - 3)) + 4 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 6) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 6) * (4 - 3)) - 1 = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n6 - 3 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThis input cannot form 24 using basic arithmetic operations.", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (11 - 6)) + 4 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (3 * 4) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: Incorrect input, cannot obtain 24 with given numbers.", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * 8) * (11 - 4 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (11 - 6)) + 4 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 + (5 - 3)) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (11 - 6) * (4 - 3) = 5", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5) (no solution)\n\nAnswer: There is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4 - 3) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 5 * 1 = 5", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 6) * (11 - 4 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 * 3 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 6) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * (11 - 4)) * (7 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (6 - 4) * (11 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 + 3 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no possible operation to obtain 24 from these numbers.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 5 (incorrect)", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: This combination cannot yield 24.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no combination to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 5 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (3 * 4 * 6) / (11 - 6) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (11 - 6)) - (4 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (4 + (5 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 3) * (6 - 4) = 24", "Steps:\n11 - 6 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 - 3) * (11 - 6) + 4 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 106068, "prompt_tokens": 34960, "cost": 7.4128799999999995}}, {"idx": 916, "ys": ["Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2 + 8) + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 2) * 4 * (9 - 8) = 24", "Steps:\n2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (2 + 4)) * 8 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (8 - 2) * 4 + 9 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (8 - 2)) * 4 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 10 = 24 (left: 24)\nAnswer: (9 - 4) * 2 * 8 / 10 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\nThere is no solution with the given numbers.", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2 + 8) + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 4) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (9 - 2) * 4 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (8 - 2) * 4 - 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 7) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - 2) = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * (9 - 2)) * (8 - 7) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * (9 - 2)) * (8 - 7) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (9 - 2) * (8 - 4) = 28", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - (8 - 2))) * 2 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * (9 - 2)) * (8 - 7) = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (8 - 2)) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: There is no solution for 2 4 8 9", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2) + (8 + 9) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n9 - 8 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (9 - 4 * 2) * 8 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * (9 - 2)) * (8 - 7) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: Invalid", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nThis input does not have a possible combination to obtain 24.", "Steps:\n8 - 4 = 4 (left: 2 4 9)\n2 * 4 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (8 - 4)) * 3 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 25 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n9 - 8 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (9 - (4 * 2)) * 8 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: No solution", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 8) * (9 - 4) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (9 - 4) * 2 * 8 / 4 = 24", "Steps:\n4 / 2 = 2 (left: 2 8 9)\n9 - 2 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 8 = 24 (left: 24)\nAnswer: (4 / 2) * (9 - 2) + 8 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nSorry, I cannot make 24 using 2, 4, 8, and 9 with basic arithmetic operations.", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((2 * 4) + 8) + 9 - 1 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - (8 - 2))) * 2 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + (9 - 1) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (9 - 2) * 4 - 8 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2 + 8) + 9 = 24", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (2 * 4) + 8 + 9 = 24", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (2 * 4 + 8) + 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n80 / 2 = 24 (left: 24)\nAnswer: (9 - 4) * 2 * 8 / 2 = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2 + 8) + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (9 - 2) * (8 - 7) = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2) + 8 + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 4 = 24 (left: 24)\nAnswer: (8 - (9 - 2)) * 4 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 2) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 7) = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n9 - 8 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (9 - 8)) * 3 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * (8 - 2)) - 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - (8 - 2))) * 2 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 - 1 = 24", "Steps:\n2 + 4 = 6 (left: 6 8 9)\n6 * 8 = 48 (left: 9 48)\n48 / 9 = 24 (left: 24)\nAnswer: (2 + 4) * 8 / 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - 2) * (8 - 7) = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2) + 8 + 9 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (8 - 2) * (9 - 4) = 30", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (9 - 2) * 4 - 8 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 7) * 4 = 24", "Steps:\n4 / 2 = 2 (left: 2 8 9)\n9 - 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: *56)\nAnswer: No solution found", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 4) = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (4 * 2 + 8) + 9 = 24", "Steps:\n8 - 4 = 4 (left: 2 4 9)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: (8 - 4) * 2 * 4 = 32", "Steps:\n9 - 8 = 1 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 8) * (4 - 2) * 12 = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\nNo solution found.", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (9 - 2) * 4 - 8 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n80 / 8 = 24 (left: 24)\nAnswer: (((9 - 4) * 2) * 8) / 8 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (8 - 2) * (9 - 4) = 30", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n8 - 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 / 9 = 24 (left: 24)\nAnswer: (8 - 2) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 10 = 24 (left: 24)\nAnswer: (9 - 4) * 2 * (8 / 10) = 24", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 * 8 = 64 (left: 9 64)\n64 - 9 = 55 (left: 55)\nAnswer: (2 * 4) * (8 - 9) = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 * 4 = 24 (left: 24)\nAnswer: 2 * (8 - (9 - 4)) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (9 - 2) * (8 - 7) = 24", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\nThere's no solution for this case.", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (9 - 2) * 4 - 8 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 25 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n4 * 2 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 25 (left: 25)\nNo solution found.", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 * 8 = 64 (left: 9 64)\n64 / 9 = 24 (left: 24)\nAnswer: (2 * 4) * 8 / 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (8 - (9 - 4))) * 4 = 24", "Steps:\n8 / 2 = 4 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (8 / 2) * 4 + 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: 4 * (8 - (9 - 2)) = 24", "Steps:\n2 * 4 = 8 (left: 8 8 9)\n8 + 8 = 16 (left: 9 16)\n16 + 9 = 24 (left: 24)\nAnswer: (2 * 4 + 8) + 9 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 112823, "prompt_tokens": 37145, "cost": 7.883729999999999}}, {"idx": 917, "ys": ["Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (13 - 5 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5) - 4) * 6 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (13 - 1) / 4 * 5 = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (13 - 1) * (12 - 5) = 28", "Steps:\n13 - 4 = 9 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 4)) * (9 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 / 4 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 5) / 4 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 * 8 = 32 (left: 1 32)\n32 - 1 = 31 (left: 31)\nAnswer: (4 * (13 - 5)) - 1 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 * 8 = 32 (left: 1 32)\n32 - 1 = 31 (left: 31)\nAnswer: None", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (13 - 5 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (13 - 1) / 4 * 5 = 15", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * ((8 - 4) * 6) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (13 - 5 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 4) * (13 - 5 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\nAnswer: (13 - 5) * (8 - 4) = 16", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 4 = 9 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 4)) * (9 - 5) = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n5 - 4 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (5 - 4) = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: Not possible", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 24 (left: 24)\nAnswer: 4 * (7 + (13 - 5)) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n5 - 1 = 4 (left: 4 4 13)\n4 * 4 = 16 (left: 13 16)\n16 + 13 = 29 (left: 29)\n13 - 1 = 12 (left: 4 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 1) * (5 - 4) = 24", "Steps:\n5 - 1 = 4 (left: 4 4 13)\n4 * 4 = 16 (left: 13 16)\n16 + 13 = 29 (left: 29)\nAnswer: (5 - 1) * 4 + 13 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 4) * (13 - 5 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 4 = 9 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 4) * (9 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\nThere is no way to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5 - 4) * 6 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * 5) + (13 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: ((13 - 5) - 4) * 4 + 1 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\nAnswer: 4 * (13 - 5) - 4 = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (13 - 5) * (8 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 8 1 4)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (13 - 5 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 1 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (13 - 5 - 1) = 28", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n4 - 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (4 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 5)) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 4) = 24", "Steps:\n13 - 5 = 8 (left: 1 4 8)\n8 - 4 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (8 - 4)) * (13 - 5) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 119907, "prompt_tokens": 39330, "cost": 8.374319999999999}}, {"idx": 918, "ys": ["Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nThere is no solution with these numbers.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: Invalid (cannot make 24 with these numbers)", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\n56 / 2 = 24 (left: 24)\nAnswer: (12 - 2 * 2) * 7 = 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - 2) * (12 / 2) = 30", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (12 / 2) * (7 - 2) = 30", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nThere is no way to obtain 24 with this input.", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nThere is no possible solution.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: No solution", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 + 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 - 7) * (2 + 2) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: This input cannot produce 24 using the given operations.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (12 - 7) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no valid combination of these numbers to obtain 24.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 / 2) * (6 - 2) = 28", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 + 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (12 - 7)) + 2 = 24", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: There is no solution using these numbers.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (12 - 7) * (2 * 2) = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 + 2 = 12 (left: 12)\nAnswer: (12 - 7) * (2) + 2 = 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 - 7) * (2 * 2) = 20", "Steps:\n12 - 2 = 10 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 2) * (10 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution with the given numbers.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: No solution", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 7) * 2 * 2 = 20", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 + 2 = 12 (left: 12)\nAnswer: (2 * (12 - 7)) + 2 = 24", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: There is no solution for this set of numbers to obtain 24.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - 2) * (12 / 2) = 30", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: There is no solution for this input.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 + 2 = 12 (left: 12)\nAnswer: (12 - 7) * (2) + 2 = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n2 + 2 = 4 (left: 4 7 12)\n7 * 4 = 28 (left: 12 28)\n28 - 12 = 16 (left: 16)\n16 / (7 * (2 + 2)) = 24 (left: 24)\nAnswer: (7 * (2 + 2)) - 12 = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 - 7) * (2 * 2) = 20", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nNO SOLUTION", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (7 - 2) * 2 + 12 = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: (12 / 2) * 2 + 7 = 19", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nNo solution", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 + 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: No possible solution", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no possible solution using these numbers.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Not possible to make 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 5 = 10 (left: 2 10)\n10 + 2 = 12 (left: 12)\nAnswer: (12 - 7) * (2 + 2) = 24", "Steps:\n2 + 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 7) * 2 * 2 = 20", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: no solution", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 + 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: None", "Steps:\n2 + 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - 2) * (12 / 2) = 30", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 7) * 2 * 2 = 20", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 7) * 2 * 2 = 20", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: Not possible to obtain 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nThere is no way to obtain 24 with these numbers.", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n2 * 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n2 + 2 = 4 (left: 4 7 12)\n4 * 7 = 28 (left: 12 28)\n28 - 12 = 24 (left: 24)\nAnswer: (2 + 2) * 7 - 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n8 * 3 = 24 (left: 24)\nAnswer: (12 - 2 * 2) * (7 - 4) = 24", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 24 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: There is no solution for this input.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - 2) * (12 / 2) = 30", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (7 - 2) * (12 - 5) = 14", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThere is no possible combination to get 24 from these numbers.", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nThere is no solution for this input.", "Steps:\n12 / 2 = 6 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: (12 / 2) * 2 + 7 = 19", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (2 * 2) * (12 - 7) = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: ((7 - 2) * 2) + (12 - 5) = 24", "Steps:\n12 - 7 = 5 (left: 2 2 5)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 7) * 2 * 2 = 20", "Steps:\n2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (2 * 2) * (12 - 7) = 24", "Steps:\n7 - 2 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nNo solution"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 125924, "prompt_tokens": 41515, "cost": 8.800889999999999}}, {"idx": 919, "ys": ["Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 3) * (6 / 3) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 4 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: 3 * (6 - (7 - 3)) + 6 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 24 (left: 24)\nAnswer: (6 * 3) + 3 + 7 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 4 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (7 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n3 * 7 = 21 (left: 2 21)\n21 + 2 = 24 (left: 24)\nAnswer: (3 * 7) + (6 / 3) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n18 + 4 = 24 (left: 24)\nAnswer: (6 * 3) + (7 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n3 - 2 = 1 (left: 1 7)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 3) * (7 + (3 - 2)) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: This set of numbers cannot form 24 with the given operations.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 3) * (7 - 3) = 8", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (7 * (3 - 6 / 3)) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 24 (left: 24)\nAnswer: 6 / 3 * (7 - 3) = 24", "Steps:\n3 + 3 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 24 (left: 24)\nAnswer: (3 + 3) * (6 - 7) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (6 - 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 4 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 - (7 - 3)) * 3 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 28 (left: 28)\nAnswer: (6 * 3) + 3 + 7 = 28", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis input cannot form 24 with the given operations.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 24 (left: 24)\nAnswer: (6 * 3) + (3 + 7) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (7 - 3) * (6 - 3) = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: 24 is not possible with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n9 * 7 = 63 (left: 63)\nAnswer: (6 - 3) * 3 * 7 = 63", "Steps:\n6 + 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: No solution", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution found", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nNo solution found.", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (3 * 3) - 6) * 7 = 21", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no valid solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: No solution found.", "Steps:\n6 + 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Cannot find a solution", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n\nAnswer: Unable to obtain 24 with given numbers.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: This combination cannot form 24.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n7 - 6 = 1 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (7 - 6) * (3 * 3) = 9", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n4 * 6 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (3 * 8) * (7 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 3) * (7 - 3) = 8", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (3 * 3) - 7 = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * 3 - 6) * 7 = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 / 3 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 3) * (6 / 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n6 - 4 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\nNo solution.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n4 * 18 / 3 = 24 (left: 24)\nAnswer: (6 * 3) * (7 - 3) / 3 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 24 (left: 24)\nAnswer: (6 * 3) + (3 + 7) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 3) * (6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 3) * (7 - 3) = 8", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis input cannot make 24.", "Steps:\n6 + 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (7 - 3) * (6 + 3) = 36", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n7 - 6 = 1 (left: 1 9)\n9 * 1 = 24 (left: 24)\nAnswer: (3 * 3) * (7 - 6) = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * (7 - 3) * 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (7 - 6 / 3)) + 9 = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot be used to obtain 24.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 28 (left: 28)\nAnswer: (6 * 3) + 3 + 7 = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n3 - 2 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (3 - (6 / 3)) * 7 = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n3 * 3 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (3 * 3) + (7 - (6 / 3)) * 3 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n4 * 18 = 24 (left: 24)\nAnswer: (6 * 3) * (7 - 3) = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n7 - 6 = 1 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n3 * 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: 42\nNote: There is no possible solution for this input.", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n7 - 6 = 1 (left: 1 9)\n9 * 1 = 24 (left: 24)\nAnswer: (3 * 3) * (7 - 6) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n4 * 18 = 72 (left: 72)\nAnswer: (6 * 3) * (7 - 3) = 72", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis input cannot form 24 using the given operations.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n2 * 7 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (6 / 3) = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n3 + 3 = 6 (left: 6 6 7)\n6 * 7 = 42 (left: 6 42)\n42 / 6 = 7 (left: 7)\n7 * 6 = 42 (left: 42)\nAnswer: (3 + 3) * 7 = 42", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no way to obtain 24 from these numbers.", "Steps:\n6 + 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (7 - 3) * (6 + 3) = 36", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n18 + 4 = 24 (left: 24)\nAnswer: (6 * 3) + (7 - 3) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 7 = 25 (left: 3 25)\n25 - 3 = 24 (left: 24)\nAnswer: (6 * 3) + 7 - 3 = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n18 + 4 = 24 (left: 24)\nAnswer: (6 * 3) + (7 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (7 - 6 / 3)) + 9 = 24", "Steps:\n6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n9 * 7 = 63 (left: 63)\nAnswer: (6 - 3) * (3 * 3) = 63", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis problem has no solution.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (3 * 8) * (7 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis combination of numbers is not possible to get 24.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n18 + 4 = 24 (left: 24)\nAnswer: (6 * 3) + (7 - 3) = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this set of numbers.\nAnswer: There is no solution", "Steps:\n6 / 3 = 2 (left: 3 2 7)\n3 - 2 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: No solution found", "Steps:\n3 + 3 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nNo possible solution.", "Steps:\n6 - 3 = 3 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - 3) * 2 * (7 - 3) = 24", "Steps:\n7 - 3 = 4 (left: 3 4 6)\n4 * 3 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 3) * 3 * (6 / 3) = 24", "Steps:\n3 + 3 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 / 7 = 24 (left: 24)\nAnswer: (3 + 3) * (6 * 6 / 7) = 24", "Steps:\n6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 3) * (7 - 3) = 8", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n18 + 3 = 21 (left: 7 21)\n21 + 7 = 24 (left: 24)\nAnswer: (6 * 3) + 3 + 7 = 24", "Steps:\n3 + 3 = 6 (left: 6 6 7)\n6 * 7 = 42 (left: 6 42)\n42 / 6 = 7 (left: 7)\n7 * 6 = 24 (left: 24)\nAnswer: ((3 + 3) * 7) / 6 = 24", "Steps:\n3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)", "Steps:\n6 + 7 = 13 (left: 3 3 13)\n13 - 3 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution for this set of numbers to obtain 24.", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n4 * 18 = 24 (left: 24)\nAnswer: (6 * 3) * (7 - 3) = 24", "Steps:\n6 * 3 = 18 (left: 3 7 18)\n7 - 3 = 4 (left: 4 18)\n4 * 18 = 24 (left: 24)\nAnswer: (6 * 3) * (7 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 132299, "prompt_tokens": 43700, "cost": 9.248940000000001}}, {"idx": 920, "ys": ["Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Cannot make 24 with given numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: The given numbers cannot be used to obtain 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 4 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\nThis combination cannot be used to obtain 24.", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: The input numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (1 + (13 - 9)) * 5 + 9 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 + 9 = 14 (left: 1 13 14)\n14 - 13 = 1 (left: 1 1)\n1 * 1 = 1 (left: 1)\n1 + 1 = 2 (left: 2 13)\n2 * 13 = 26 (left: 26)\n26 - 1 = 25 (left: 5 9 25)\n25 - 9 = 16 (left: 5 16)\n16 / 5 = 3.2 (left: 1 9 3.2)\n3.2 + 9 = 12.2 (left: 1 12.2)\n12.2 - 1 = 11.2 (left: 5 11.2)\n11.2 * 5 = 56 (left: 56)\n56 / 9 = 6.222 (left: 1 6.222)\n6.222 - 1 = 5.222 (left: 5 5.222)\n5.222 * 5 = 26.11 (left: 26.11)\n26.11 + 9 = 35.11 (left: 1 13 35.11)\n35.11 - 13 = 22.11 (left: 1 22.11)\n22.11 - 1 = 21.11 (left: 5 21.11)\n21.11 * 5 = 105.55 (left: 105.55)\n105.55 / 9 = 11.73 (left: 1 11.73)\n11.73 - 1 = 10.73 (left: 5 10.73)\n10.73 * 5 = 53.65 (left: 53.65)\n53.65 + 9 = 62.65 (left: 1 13 62.65)\n62.65 - 13 = 49.65 (left: 1 49.65)\n49.65 - 1 = 48.65 (left: 5 48.65)\n48.65 * 5 = 243.25 (left: 243.25)\n243.25 / 9 = 27.03 (left: 1 27.03)\n27.03 - 1 = 26.03 (left: 5 26.03)\n26.03 * 5 = 130.15 (left: 130.15)\n130.15 + 9 = 139.15 (left: 1 13 139.15)\n139.15 - 13 = 126.15 (left: 1 126.15)\n126.15 - 1 = 125.15 (left: 5 125.15)\n125.15 * 5 = 625.75 (left: 625.75)\n625.75 / 9 = 69.53 (left: 1 69.53)\n69.53 - 1 = 68.53 (left: 5 68.53)\n68.53 * 5 = 342.65 (left: 342.65)\n342.65 + 9 = 351.65 (left: 1 13 351.65)\n351.65 - 13 = 338.65 (left: 1 338.65)\n338.65 - 1 = 337.65 (left: 5 337.65)\n337.65 * 5 = 1688.25 (left: 1688.25)\n1688.25 / 9 = 187.58 (left: 1 187.58)\n187.58 - 1 = 186.58 (left: 5 186.58)\n186.58 * 5 = 932.9 (left: 932.9)\n932.9 + 9 = 941.9 (left: 1 13 941.9)\n941.9 - 13 = 928.9 (left: 1 928.9)\n928.9 - 1 = 927.9 (left: 5 927.9)\n927.9 * 5 = 4639.5 (left: 4639.5)\n4639.5 / 9 = 515.5 (left: 1 515.5)\n515.5 - 1 = 514.5 (left: 5 514.5", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nAnswer: There is no solution to obtain 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nThis set of numbers cannot create 24 using the given rules.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no combination of these numbers and basic arithmetic operations that can obtain 24.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: This combination cannot be used to obtain 24.", "Steps:\n13 - 1 = 12 (left: 5 9 12)\n9 - 5 = 4 (left: 4 12)\n4 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (9 - 5) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 9) * (5 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid Input (Cannot obtain 24 with given numbers)", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: No solution found.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 9) * (5 - 1) = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no combination of operations that will yield 24 from these numbers.", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (13 - 5) * (9 - 1) = 64", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution found.", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nNo combination available for 24.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (13 - 9) * (4 - 1) = 15", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (9 - 1) = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 + 9 = 14 (left: 1 13 14)\n14 + 1 = 15 (left: 13 15)\n15 + 13 = 28 (left: 28)\n", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\nAnswer: (13 - 5) * (9 - 1) = 63", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (13 - 9) * (5 - (4 - 1)) + 9 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible to obtain 24 from the given numbers", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 24 (left: 24)\nAnswer: (13 - 9) * (5 - 1) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15) \nThere is no way to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: No solution found.", "Steps:\n13 - 1 = 12 (left: 5 9 12)\n12 - 9 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (5 * (13 - 1) - 9) + 9 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid input (cannot obtain 24)", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: (13 - 9) * 5 + 1 = 24 (Not possible)", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n*There is no possible way to obtain 24 from these numbers.\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: None", "Steps:\n13 - 1 = 12 (left: 5 9 12)\n12 - 9 = 3 (left: 5 3)\n5 * 3 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Invalid, cannot form 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((13 - 9) - 1) * 5 + 9 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for obtaining 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: (13 - 9) * 5 + 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 - 1 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 * 3 = 15 (left: 15)\nAnswer: There is no solution for this case.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n13 - 5 = 8 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this input to obtain 24.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no possible way to obtain 24 in this case.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nAnswer: Not possible with the given numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Cannot make 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 5)\n4 * 5 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no way to obtain 24 from these numbers using the allowed operations.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 1 5 4)\n5 - 1 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 139140, "prompt_tokens": 45885, "cost": 9.724949999999998}}, {"idx": 921, "ys": ["Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\nAnswer: There is no solution for this case.", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 6 13)\n6 / 2 = 3 (left: 3 13)\n13 + 3 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (13 + (6 / (7 - 5))) + 8 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (13 - 7) * (5 + 6) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 5 = 8 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 5) * (7 - 6) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * (36 / 5) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 7) * (5 * 6 / 6) = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((13 - 6) * 7) + 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (7 - 5) = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 / 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * ((13 - 7) / 6)) - 1 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 / 7 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 7) * (5 - 6 / 6) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 / 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 5 = 8 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 5) * (7 - (8 - 6)) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\n31 - 7 = 24 (left: 24)\nAnswer: ((13 - 7) * 6) - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 7 = 49 (left: 5 49)\n49 - 5 = 24 (left: 24)\nAnswer: (13 - 6) * 7 - 5 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 7 = 49 (left: 5 49)\n49 - 5 = 24 (left: 24)\nAnswer: (13 - 6) * 7 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 5 31)\n5 - 31 = 24 (left: 24)\nAnswer: (5 - (36 - 5)) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\n5 + 6 = 11 (left: 7 11 13)\n11 * 2 = 22 (left: 7 22)\n22 + 2 = 24 (left: 24)\nAnswer: (5 + 6) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 / 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: There is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n5 * 4 = 24 (left: 24)\nAnswer: 5 * (13 - 7) / 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n5 + 6 = 11 (left: 7 11 13)\n13 - 11 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (5 + 6) * (13 - 11) + 10 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (5 * (13 - 6)) - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n6 * 11 = 66 (left: 66)\nAnswer: (13 - 7) * (5 + 6) = 66", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 7) - 5) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nThere is no solution to obtain 24 with these numbers.", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 7 = 49 (left: 5 49)\n49 - 5 = 24 (left: 24)\nAnswer: (13 - 6) * 7 - 5 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 5 * (13 - 7) * (6 / 6) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\n\nThere is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 7) * (6 / 6) * 5 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (not possible)\n\nThere is no way to obtain 24 with the given numbers.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: (13 - 7) * 6 = 36", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (5 * (13 - 6)) - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (not 24)\n\nThere is no solution for this input.", "Steps:\n7 - 5 = 2 (left: 2 6 13)\n6 / 2 = 3 (left: 3 13)\n13 * 3 = 39 (left: 39)\nAnswer: (7 - 5) * (6 / 2) * 13 = 24 is not possible.", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (13 - 6) * 5 - (7 - 3) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * 2 + (7 - 5) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 5 1)\n5 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * (5 / (6 / 6)) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: 5 * (4 * (13 - 7) / 6) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 / 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (13 - 7) * 5 - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 24 (left: 24)\nAnswer: (13 - 7) * 6 / 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 7) * (5 + 1) = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 28 (left: 28)\nAnswer: (13 - 6) * 5 - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 7) * (6 - 5) * 4 = 24", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (5 * (13 - 6)) - 7 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: (13 - 7) * 6 / 5 = 7.2", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n7 + 14 = 24 (left: 24)\nAnswer: (7 + (13 - 6)) + (7 - 5) * 2 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (5 * (13 - 7)) - 6 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\n\nAnswer: No solution found.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nThis input cannot be used to obtain 24 using the given operations.", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 / 5 = 7.2 (left: 7.2)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 6 = 7 (left: 5 7 7)\n7 * 7 = 49 (left: 5 49)\n49 - 5 = 24 (left: 24)\nAnswer: ((13 - 6) * 7) - 5 = 24", "Steps:\n13 - 7 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n36 - 5 = 31 (left: 31)\nAnswer: Not possible to obtain 24 using these numbers."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 145671, "prompt_tokens": 48070, "cost": 10.18236}}, {"idx": 922, "ys": ["Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n\nThere is no solution for this input.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 8 = 17 (left: 10 17)\n17 + 10 = 27 (left: 27)\nAnswer: (5 * 5 - 8) + 10 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n\nThere is no solution for this input.", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (5 + 5) * (10 / 10) * 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((5 + 5) / 10) * 8 * 3 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 - 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (10 - 8)) * 5 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n8 - 5 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((10 - 5) * (8 - 5)) + 4 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 10 = 15 (left: 8 15)\n15 + 8 = 23 (left: 23)\nThere is no solution for this input.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 + 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThis input is not possible to obtain 24.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 * 10 = 100 (left: 8 100)\n100 / 8 = 12.5 (left: 12.5)\nNo solution found.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (5 + 5) / 10 * 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n15 + 10 = 25 (left: 25)\nAnswer: (8 - 5) * 5 + 10 = 25", "Steps:\n8 - 5 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 5 15)\n5 * 3 = 15 (left: 24)\nAnswer: (8 - 5) * (10 - 5) = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 24)\nAnswer: (5 + 5 - 8) * 10 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 / 2 = 2.5 (left: 2.5 5)\n2.5 * 5 = 12.5 (left: 12.5)\n12.5 * 2 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((10 - 8) * 5 / 2) * 2 - 1 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (10 - 5) * 5 + (8 - 1) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 / 2 = 2.5 (left: 2.5 5)\n2.5 * 5 = 12.5 (left: 12.5)\n12.5 * 2 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5 / (10 - 8)) - 1 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 * 8 = 80 (left: 10 80)\n80 / 10 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (80 / 10) * (5 + 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n8 - 5 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (10 - 5) * 5 + (8 - 1) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 * 5 = 25 (left: 2 25)\n25 - 2 = 24 (left: 24)\nAnswer: (5 * 5) - (10 - 8) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n80 / (10 - 5) = 24 (left: 24)\nAnswer: (5 * 5) * (8 / (10 - 5)) = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThis set of numbers cannot make 24 using the given operations.", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 10 = 15 (left: 8 15)\n15 + 8 = 24 (left: 24)\nAnswer: (5 * 5 - 10) + 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: None", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 - 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (10 - 8)) * 5 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 * 10 = 100 (left: 8 100)\n100 / 8 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 + 5) * (10 * 10 / 8) - 1 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nNo solution found for this set of numbers.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: No solution", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 10 = 15 (left: 8 15)\n15 + 8 = 24 (left: 24)\nAnswer: (5 * 5 - 10) + 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThis combination of numbers cannot make 24.", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 8 = 17 (left: 10 17)\n17 + 10 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((5 * 5) - 8) + 10 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 - 5) * (8 - 5) + 10 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: Not possible to obtain 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: (10 - 5) * (5 + 5) = 80", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n8 - 5 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (10 - 5) * (8 - 5) = 15", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * (5) - 8 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 8 = 17 (left: 10 17)\n17 - 10 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (5 * 5 - 8) - 10 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 10 = 15 (left: 8 15)\n15 - 8 = 7 (left: 7)\n7 * 3 = 21 (left: 3)\n3 + 1 = 24 (left: 24)\nAnswer: ((5 * 5) - 10) - 8) * 3 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 / 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 8) * (5 / 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 5 10)\n5 + 3 = 8 (left: 8 10)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 5) * (5 + 3) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 * 5 = 25 (left: 2 25)\n25 - 2 = 24 (left: 24)\nAnswer: (5 * 5) - (10 - 8) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 * 5 = 25 (left: 2 25)\n25 - 2 = 24 (left: 24)\nAnswer: (5 * 5) - (10 - 8) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 / 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 8) * (5 / 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (5 + 5) * (10 - 8) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n8 - 5 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 8 = 17 (left: 10 17)\n17 + 10 = 27 (left: 27)\nAnswer: (5 * 5) - 8 + 10 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: (10 - 5) * (5 + 5) = 80", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (5 + 5) / 10) * 3 = 24", "Steps:\n10 / 5 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 / 5) * (8 - 5) * 4 = 24", "Steps:\n10 / 5 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 / 5) * (8 - 5) * 4 = 24", "Steps:\n5 * 5 = 25 (left: 8 10 25)\n25 - 10 = 15 (left: 8 15)\n15 - 8 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (5 * 5 - 10) + 3 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (25 - 8) * (5 + 5) = 24", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nThis input combination cannot form 24 using basic arithmetic operations.", "Steps:\n10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 10 / 5) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 5)\n5 / 2 = 2.5 (left: 2.5 5)\n2.5 * 5 = 24 (left: 24)\nAnswer: (5 / (10 - 8)) * 5 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: (10 - 5) * 5 + 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: 10 * (5 + (10 - 5)) = 80 (cannot obtain 24)", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (5 + 5) * (10 / 10) * 3 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: (10 - 5) * (5 + 5) = 80", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\nAnswer: There is no combination that results in 24 with the given numbers.", "Steps:\n8 - 5 = 3 (left: 3 5 10)\n10 / 5 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (10 / 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n\nIn this case, there is no possible way to obtain 24 using the given numbers and basic arithmetic operations.", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 + 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\nAnswer: None", "Steps:\n5 + 5 = 10 (left: 8 10 10)\n10 / 10 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (5 + 5) / 10 * 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 5 8)\n5 * 5 = 25 (left: 8 25)\n25 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 5 - 8 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 152396, "prompt_tokens": 50255, "cost": 10.651409999999998}}, {"idx": 923, "ys": ["Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 4 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 / 6) * (2 * 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 4 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (6 - 12 / 4)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 / 6 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 / 2) * 4 * (6 / 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 4) * (12 / 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 + 4 = 10 (left: 6 10)\n10 * 6 / 10 = 24 (left: 24)\nAnswer: (12 / 2) * (6 + 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 + 4 = 10 (left: 6 10)\n10 * 6 / 2 = 24 (left: 24)\nAnswer: (12 / 2) * ((6 + 4) / 2) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 / 4) * (6 - (6 - 2)) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 - 6 = 0 (left: 0 24)\n24 * 0 = 24 (left: 24)\nAnswer: (12 / 2) * 4 * (6 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (12 / 6) * 2 + (2 * 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 / 2 * 4) + (24 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * (12 / 12) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n4 * 2 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 4 * 2) * 6 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 - 6 = 0 (left: 24)\nAnswer: (12 / 2) * 4 = 24", "Steps:\n2 * 4 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n2 + 4 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (2 + 4) * (12 / 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n2 * 4 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18) (wrong)\n\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16) (wrong)\n\n12 - 6 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12) (wrong)\n\n4 * 2 = 8 (left: 6 8 12)\n12 / 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16) (wrong)\n\nThere is no possible solution with these numbers (2 4 6 12) to obtain 24.", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n2 * 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (12 / 4) * (2 * 3) = 36", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n4 * 6 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18)\nAnswer: (12 / 2) * 4 - 6 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 + 24 = 30 (left: 30)\nAnswer: (12 / 2) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (6 / 2) * (12 / 4) = 9", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 / 2 * 4) - 6 + 6 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n2 * 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 / 6 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 / 2) * 4 * (6 / 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 4 = 8 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (12 / 6) * (2 * 4) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 / 4) * (6 / 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 / 4 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n6 + 9 = 15 (left: 15)\n15 + 6 = 21 (left: 21)\n4 + 21 = 25 (left: 25)\n25 - 2 = 23 (left: 23)\n23 + 4 = 27 (left: 27)\n12 - 6 = 6 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 * 2 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (4 * (12 - 6)) * 2 / 2 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 - (12 / 4)) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n2 * 4 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 / 4 = 1.5 (left: 1.5 6)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / 2) * (6 / 4) * 16 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 4 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\n12 / (6 / (2 * 4)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 + 24 = 30 (left: 30)\nAnswer: (12 / 2) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n6 / 6 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 / 2) * 4 * (6 / 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n24 / 6 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (12 / 6) * (2 * 2) = 16", "Steps:\n4 * 2 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 24 (left: 24)\nAnswer: (12 / 6) * 2 + 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n4 - 3 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n4 + 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (12 / 6)) * (2 + 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n2 * 4 = 8 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 2 * 4) * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution found", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 * 4 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18)\nAnswer: (12 / 2) * 4 - 6 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (6 - 12 / 4)) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 12)\n4 - 3 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (12 * (4 - 6 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 2) * (6 - 4) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 4 = 8 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (12 / 6) * 4 * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 6)\n6 - 4 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 4)\n2 * 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 159409, "prompt_tokens": 52440, "cost": 11.137739999999999}}, {"idx": 924, "ys": ["Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n6 - 3 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 - (11 - 8)) * 7 + 3 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * (7 - (11 - 8))) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - (11 - 6)) + 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 * 2 = 16 (left: 24)\nAnswer: (6 - (11 - 7)) * 8 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (11 - 8) * (7 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (11 - 6) * (8 - (11 - 6)) = 21", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\n\nAnswer: There is no solution to obtain 24 using these numbers.", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (11 - 8) * (7 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: Incorrect, the given numbers cannot be used to obtain 24.", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - 7) = 24\nThis solution is not possible.", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (7 - (11 - 8)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: There is no possible sequence that results in 24.", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * (7 - (11 - 8))) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (Sorry there is no solution for this input)", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n6 / 3 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (6 / (11 - 8)) * 7 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nSorry, it is not possible to obtain 24 from these numbers.", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (7 - 6) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (7 - 6) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * (7 - (11 - 8))) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (7 - (11 - 8)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - 7) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (Incorrect)\n\nThere is no solution for the given input (6 7 8 11)", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - (11 - 6)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 * 2 = 16 (left: 16)\nAnswer: There is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 6) * (8 - 7) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: 3 * (8 - (11 - 6)) * 7 = 21", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * (7 - (11 - 8))) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * (7 - (11 - 8))) = 24", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (7 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (8 - (11 - 6))) + 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 7 8)\n7 - 5 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 * 2 = 16 (left: 16)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (11 - 8)) * 6 = 24", "Steps:\n11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - 6) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}], "usage_so_far": {"completion_tokens": 166103, "prompt_tokens": 54625, "cost": 11.60493}}, {"idx": 925, "ys": ["Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (13 - 9) * (9 - 7) = 8", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (13 - 7) * (9 - 6) = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n9 - 3 = 6 (left: 6 27)\n27 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * (7 - (9 - 3)) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nThis combination of numbers cannot result in 24.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 4 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: This set of numbers cannot create 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 7 * (13 - 9) - 9 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (13 - 9) * (9 - 7) = 8", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (7 - (13 - 9)) * 9 = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 4 = 5 (left: 5 7)\n7 * 5 = 35 (left: 35)\nAnswer: (7 * (9 - (13 - 9))) = 35", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (13 - 9) * (7 - (13 - 9)) = 27", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (13 - 7) * (9 - (13 - 7)) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (7 - (13 - 9)) * 9 = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 24)\nAnswer: (13 - 9) * (7 - 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: Cannot be obtained with these numbers.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * (7 - (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 4 2)\n4 * 2 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: Not possible to achieve 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 * 4 = 28 (left: 9 28)\n28 - 9 = 19 (left: 19)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n9 - 3 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 4 = 5 (left: 5 7)\n5 * 7 = 24 (left: 24)\nAnswer: (7 * (9 - (13 - 9))) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - (13 - 7)) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 9)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nIt is not possible to obtain 24 using these numbers.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 7) * (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Unfortunately, there is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 7 * (13 - 7) * 9 = 24 is not possible.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - (13 - 7)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 3 * (7 - (13 - 9)) = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - (13 - 7)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nNo combination of operations will result in 24.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (13 - 9) * (7 - (13 - 9)) = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 / 6 = 1.5 (left: 1.5 9)\n1.5 * 16 = 24 (left: 24)\nAnswer: (13 - 7) * (9 / (9 - 7)) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 * (9 - (13 - 7))) - 3 = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nIt's impossible to obtain 24 using these numbers.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - (13 - 7)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Cannot form 24 with given numbers", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (9 - 7) * (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 4 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - (9 - 6)) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (7 - (13 - 9)) * 9 = 27", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - (9 - 6)) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (7 - (13 - 9)) * 9 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - (13 - 7)) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - (9 - 6)) = 24", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: 8 But there is no solution to reach 24.", "Steps:\n13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no possible solution with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (9 - 7) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 172697, "prompt_tokens": 56810, "cost": 12.06612}}, {"idx": 926, "ys": ["Steps:\n9 - 3 = 6 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n36 / 12 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * 6 / 12 = 24", "Steps:\n9 - 3 = 6 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n36 / 12 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: ((9 - 3) * 6) / 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n6 - 3 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 9) * ((6 - 3) + 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / 3) * (6 / 4) * 16 = 24", "Steps:\n3 * 6 = 18 (left: 9 12 18)\n18 + 9 = 27 (left: 12 27)\n27 - 12 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * 6) + 9 + (12 - 27) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (12 - 9) * (3) = 24", "Steps:\n3 * 6 = 18 (left: 9 12 18)\n18 + 12 = 30 (left: 9 30)\n30 - 9 = 24 (left: 24)\nAnswer: (3 * 6 + 12) - 9 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 3 2 9)\n3 * 2 = 6 (left: 6 9)\n9 + 6 = 15 (left: 15)\nAnswer: (12 / 6) * 3 + 9 = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 / 3) * (12 - 9) = 24", "Steps:\n12 / 6 = 2 (left: 3 9 2)\n9 - 3 = 6 (left: 6 2)\n6 * 2 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 4 3)\n4 * 3 = 12 (left: 12)\nAnswer: (12 / 3) * (9 - 6) = 12\nNote: With the given numbers, it is not possible to obtain 24.", "Steps:\n12 / 6 = 2 (left: 3 2 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 6 = 18 (left: 3 18)\n18 + 3 = 21 (left: 24)\nAnswer: (12 - 9) * 6 + 3 = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 3) * 6 - 9 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (12 - 9) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (3 * (12 - 9)) * (6 / 3) = 24", "Steps:\n9 - 6 = 3 (left: 3 3 12)\n3 * 3 = 9 (left: 9 12)\n12 + 9 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 + (9 - 6)) + 12 = 24", "Steps:\n9 - 6 = 3 (left: 3 3 12)\n3 * 3 = 9 (left: 9 12)\n9 * 12 / 4 = 24 (left: 24)\nAnswer: ((9 - 6) * 3) * (12 / 4) = 24", "Steps:\n12 / 6 = 2 (left: 3 9 2)\n9 - 3 = 6 (left: 6 2)\n6 * 2 = 12 (left: 12)\nAnswer: (3 * 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (12 / 6) * 9 - 3 = 24", "Steps:\n12 - 6 = 6 (left: 3 6 9)\n9 - 6 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (9 - (12 - 6))) - 3 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (12 - 9) * (3 * 3) = 54", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: No solution found.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 6) * 2 = 24", "Steps:\n12 / 6 = 2 (left: 3 2 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n12 / 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nUnfortunately, there is no way to obtain 24 with the given numbers.", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (12 - 9) * (3 * 3) = 54", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 3) * 6 - 9 = 24", "Steps:\n12 / 6 = 2 (left: 3 9 2)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: This combination cannot form 24.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 3 9 2)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (12 / 3)) * (9 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n6 / 3 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (3 * (6 / (12 - 9))) + 6 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no combination that results in 24.", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (9 - 6)) * (12 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 - (12 / 3)) * 9 = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: None", "Steps:\n12 - 6 = 6 (left: 3 6 9)\n9 - 6 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (9 - (12 - 6))) - 3 = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * (9 - 6)) * (12 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 4 3)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / 3) * 6 * (9 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 3 * (12 / 6) * 9 = 54", "Steps:\n9 - 6 = 3 (left: 3 3 12)\n3 * 3 = 9 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (9 - 6) * (3 * 3) + 12 = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: Not possible", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * (12 / 6)) * 4 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 6 = 18 (left: 3 18)\n18 + 3 = 21 (left: 21)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (12 / 6) * 3 = 6, not 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((12 / 3) - 6) * 9 + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (12 / 3) * (9 - 6) = 12", "Steps:\n12 / 6 = 2 (left: 3 9 2)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: This input cannot be used to obtain 24.", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n7 * 12 / 3 = 24 (left: 24)\nAnswer: (9 - 6 / 3) * 12 / 3 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: (12 / 3) * (6 - 4) = 18", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Unfortunately, there is no possible combination to obtain 24 with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (3 * 9) - (12 / 6) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no combination to obtain 24 using these numbers.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (3 * 9) - (12 / 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 6 * (12 - 9) * 3 = 54", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (3 * (12 - 9)) * (6 / 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (12 / 6) * 9 - 3 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((12 / 3) - 6) * 9 + 6 = 24", "Steps:\n12 / 6 = 2 (left: 3 2 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n\nIt is not possible to obtain 24 using the given numbers and following the rules.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (12 / 6) * (3 * 9) - 2 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 6) * 2 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 / 6) * (9 - 3) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 + 3 = 6 (left: 6 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 9) * (3 + 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 3) * (12 - 9) * 4 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (12 - 9) * (3 * 3) = 54", "Steps:\n6 / 3 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: There is no solution for this input.", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: 3 * (12 / 6) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 6) * 2 = 24", "Steps:\n12 / 6 = 2 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n12 / 3 = 4 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (9 - (12 / 3)) * 6 = 30"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 179460, "prompt_tokens": 58995, "cost": 12.53745}}, {"idx": 927, "ys": ["Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No solution", "Steps:\n13 - 12 = 1 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (9 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\n24 - 21 = 3 (left: 3)\nAnswer: (13 - 6) * (12 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + (12 / (13 - 9))) * 2 = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThere is no combination that can result in 24 for this input.", "Steps:\n12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + (12 / (13 - 9))) * 6 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 9) * (12 - 6) = 48", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nUnfortunately, there is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) = 24", "Steps:\n12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) + 3 = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nNo valid solution.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) + 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (13 - 9) * (12 / 4) = 18", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 6) * (9 - 7) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 / 4 = 1.5 (left: 1.5 12)\n1.5 * 12 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot form 24 using the given operations.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (13 - 6)) * 12 = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThis input cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n7 * 3 = 21 (left: 21)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 * 4 = 24 (left: 12 24)\n12 / 24 = 0.5 (left: 0.5 24)\n0.5 * 24 = 24 (left: 24)\nAnswer: (13 - 9) * 6 * (12 / 24) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 7 = 5 (left: 5 9)\n5 * 9 = 45 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no solution for this input.", "Steps:\n13 - 12 = 1 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 12) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no combination of these numbers that equals 24.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nNo possible solution.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n6 * 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 * (12 / (13 - 9))) + 6 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution found.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) + 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no way to obtain 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + (12 / (13 - 9))) * 3 = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 7 = 5 (left: 5 9)\n5 * 9 = 45 / 2 = 24 (left: 24)\nAnswer: (6 - 5) * (12 - (13 - 6)) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 * 4 = 24 (left: 12 24)\n24 / 12 = 2 (left: 2 24)\n24 * 2 = 48 (left: 48)\nAnswer: (13 - 9) * 6 * (12 / 24) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no way to obtain 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 9) * (12 - (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n12 * 2 = 24 (left: 24)\nAnswer: 12 * (9 - (13 - 6)) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (6 * (12 - (13 - 9))) / 2 = 24", "Steps:\n12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: The input numbers 6 9 12 13 cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + 12 / (13 - 9)) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) + 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 / 4 = 1.5 (left: 1.5 12)\n12 * 1.5 = 24 (left: 24)\nAnswer: (13 - 9) * 6 / 4 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer not possible with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This set of numbers cannot form 24 using the given operations.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 / 4 = 1.5 (left: 1.5 12)\n12 * 1.5 = 24 (left: 24)\nAnswer: 12 * (6 / (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n2 * 4 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nNo solution", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo possible solution.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + 12 / (13 - 9)) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 * 4 = 24 (left: 12 24)\n24 / 12 = 2 (left: 2 24)\n2 * 24 = 24 (left: 24)\nAnswer: (6 * (13 - 9)) * (24 / 12) = 24", "Steps:\n12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n6 * 4 = 24 (left: 12 24)\n24 / 12 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 * (13 - 9)) * (24 / 12) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 + (12 / (13 - 9))) * 6 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 8 = 24 (left: 24)\nAnswer: 6 * (12 / (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This set of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n4 * 6 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 9) * 6 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 6) * (13 - 9) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 9)\n6 / 1 = 6 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / (13 - 12)) * 4 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThere is no possible combination to get 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 + 18 = 24 (left: 24)\nAnswer: (6 + (12 / (13 - 9))) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 9) + 3 = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found."], "infos": [{"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 185946, "prompt_tokens": 61180, "cost": 12.99216}}, {"idx": 928, "ys": ["Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n7 - 4 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 9) * (7 - 4) * (4 / 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination of numbers does not produce 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23) [wrong]\n\nThere is no possible solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 7 = 28 (left: 4 28)\n28 - 4 = 24 (left: 24)\nAnswer: (13 - 9) * 7 - 4 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible solution in this case.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution in this case.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: 4 * (13 - 9) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAdding one more number to the input: 23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n(there is no way to obtain 24 from these numbers)", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (13 - 7) * 4 + 9 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo possible solution.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible combination to reach 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot reach 24 with the given operations.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot result in 24 using the given operations.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input is not possible to create 24.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n30 / 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (13 - 7) * (9 - 4) = 30", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 + 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: 7 * (13 - 9 + 4) = 56", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (not a solution)\n\n7 * 4 = 28 (left: 4 9 28)\n28 - 4 = 24 (left: 9 24)\n24 * 9 = 216 (not a solution)\n\n9 - 4 = 5 (left: 5 7 13)\n7 * 5 = 35 (left: 13 35)\n35 - 13 = 22 (not a solution)\n\nNo solution found.", "Steps:\n13 - 4 = 9 (left: 7 9 9)\n9 / 9 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 4 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (4 * 7) * (13 - 9) / 9 = 24", "Steps:\n13 - 4 = 9 (left: 7 9 9)\n7 - 9 = -2 (left: -2 9)\n-2 * 9 = -18 (left: -18)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (4 * (9 - (13 - 7))) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input does not give a solution to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo possible solution.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 7 = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (13 - 7) * (9 - 4) = 30", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: 4 * (13 - 9) + 7 = 23", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot form 24 with the given operations.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (4 * 6) * (9 - (13 - 7)) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot form 24 using the given operations.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (7 - (4 - 4)) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination of numbers cannot make 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible solution for this input.", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - (13 - 7))) * 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination cannot make 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n7 + 4 = 11 (left: 4 11)\n4 * 11 = 44 (left: 44)\n44 / 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 + (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination of numbers cannot produce 24 using the given operations.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (no solution)", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (not 24, so try another combination)\n9 - 7 = 2 (left: 2 4 13)\n4 * 2 = 8 (left: 8 13)\n13 + 8 = 21 (not 24, so try another combination)\n13 - 4 = 9 (left: 7 9 9)\n9 * 9 = 81 (not 24, so this combination is not possible)\n\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 7 = 28 (left: 4 28)\n28 - 4 = 24 (left: 24)\nAnswer: (13 - 9) * 7 - 4 = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nNo valid steps to reach 24. Answer: Not possible.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (This combination does not work)", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (7 - 1) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 (left: 24)\nAnswer: (13 - 9) * (4 * 4) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot form 24 with the given constraints.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination of numbers cannot create 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (9 - (13 - 7))) * 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis input cannot be used to obtain 24 using the given operations.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nThis combination of numbers cannot form 24.", "Steps:\n13 - 4 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n7 - 4 = 3 (left: 3 4 9)\n3 * 9 = 27 (left: 27)\n27 - 4 = 23 (left: 23)\nThe input cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (7 - 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 7 = 24", "Steps:\n13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 7) * (9 - 6) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n16 + 7 = 23 (left: 23)\nAnswer: There is no combination of these numbers that can create 24 using basic arithmetic operations."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 192537, "prompt_tokens": 63365, "cost": 13.45317}}, {"idx": 929, "ys": ["Steps:\n5 * 6 = 30 (left: 8 12 30)\n30 - 8 = 22 (left: 12 22)\n22 + 12 = 24 (left: 24)\nAnswer: (5 * 6 - 8) + 12 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (8 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 8)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (12 / 6) = 24 (left: 24)\nAnswer: ((6 / 2) * (8 - 5)) * (12 / 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (5 * (12 / 6)) * (8 / 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 = 80 (left: 80)\n80 / 10 = 24 (left: 24)\nAnswer: (5 * (12 / 6)) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 5) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((5 * (6 - (12 - 8))) * 2) + 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n6 * 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 - 6) * (8 - 5) + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: 56 (No solution)", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (12 - 6) * (8 - 5) = 18", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n6 * 5 = 30 (left: 8 30)\n30 - 8 = 22 (left: 22)\nAnswer: (12 - 6) * 5 - 8 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: 5 * (8 - (12 - 6)) = 20", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (6 - (12 - 8))) + 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n8 - 5 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (8 - 5)) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((12 - 6) * (8 - 6)) + 5 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (5 * (6 - (12 - 8))) * 2 = 20", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (2 * (8 - 5)) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (8 - 5) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 + 8 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((12 / 6) * 5) + 8 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 + 8 = 13 (left: 2 13)\n2 * 13 = 26 (left: 26)\nAnswer: (12 / 6) * (5 + 8) = 26", "Steps:\n12 / 6 = 2 (left: 5 8 2)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (12 / 6 + 5) * 8 = 56", "Steps:\n6 - 5 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (12 / 8) * 24 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (8 - 5) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n6 * 5 = 30 (left: 8 30)\n30 - 8 = 22 (left: 22)\nAnswer: (5 * (12 - 6)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (5 * (6 - (12 - 8))) * 2.4 = 24", "Steps:\n12 / 6 = 2 (left: 5 8 2)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (12 / 6)) * 8 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n6 + 5 = 11 (left: 8 11)\n8 * 11 = 88 (left: 88)\nAnswer: None", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 8)\n3 * 8 = 24 (left: 5 24)\n5 - 5 = 0 (left: 0 24)\n24 * 0 = 0 (left: 24)\nAnswer: (6 / 2) * 8 = 24", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 / 2) * (8 - 5) + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 5 3 8)\n5 - 3 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (5 - (6 / 2)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (5 * (12 - 8)) + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (6 / 2) * (8 - 3) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 5 3 12)\n5 - 3 = 2 (left: 2 12)\n12 * 2 = 24 (left: 24)\nAnswer: (5 - (6 / 2)) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (8 - (12 - 6))) + 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n6 * 5 = 30 (left: 8 30)\n30 - 8 = 24 (left: 24)\nAnswer: (5 * (12 - 6)) - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 / 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 / 6) * (8 / 2) = 20", "Steps:\n6 * 4 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (6 * 4) * (8 - 5) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (12 / 6 + 5) * 8 = 56", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (6 - (12 - 8))) + 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n5 + 6 = 11 (left: 8 11)\n8 * 11 = 88 (left: 88)\nAnswer: No solution", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (((5 * (6 - 4)) + 5) + 5) + (12 - 8) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 5 2 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (5 + 12 / 6) * 8 = 56", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 + 8 = 18 (left: 18)\nAnswer: (12 / 6) * 5 + 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 6)\n6 / 4 = 1.5 (left: 1.5 5)\n1.5 * 5 = 7.5 (left: 7.5)\n5 * 6 = 30 (left: 4 30)\n30 - 4 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: ((5 * 6) - 12) + 8 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n2 * 12 = 24 (left: 24)\nAnswer: 5 * (8 - (12 - 6)) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 * 4 = 24 (left: 5 8 24)\n12 / 8 = 1.5 (left: 1.5 5)\n5 - 1.5 = 3.5 (left: 3.5 24)\n24 / 3.5 = 24 (left: 24)\nAnswer: (5 - (12 / 8)) * (6 * 4) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 8)\n3 * 8 = 24 (left: 5 24)\n24 - 5 = 19 (left: 19)\nAnswer: (6 / 2) * 8 - 5 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no possible solution using these numbers.", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n6 - 5 = 1 (left: 1 6)\n1 * 8 = 8 (left: 8)\n6 / 8 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 6 8 12) = 24", "Steps:\n6 - 5 = 1 (left: 1 8 12)\n1 * 12 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 5) * 12 * 2 = 24", "Steps:\n12 - 5 = 7 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (8 - (12 - 5)) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: Not Possible", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n8 - 3 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nAnswer: 5 * (6 / 2 - 8) = 25", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (5 - (8 - 6)) * (6 / 2) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: (12 / 6) * (8 - 5) = 6", "Steps:\n6 / 2 = 3 (left: 3 5 8)\n8 - 5 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (8 - 5) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n5 + 6 = 11 (left: 8 11)\n8 * 11 = 88 (left: 88)\nAnswer: There are no possible ways to obtain 24 with the given numbers.", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 - 5 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: ((6 - 5) * (12 / 8)) * 16 = 24", "Steps:\n12 - 5 = 7 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (8 - (12 - 5))) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n5 - 6 = -1 (left: -1 8)\n-1 * 8 = -8 (left: -8)\nAnswer: Invalid", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 + 8 = 18 (left: 18)\nAnswer: No solution", "Steps:\n8 - 5 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (8 - 5)) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (12 - 6) * (8 - 5) = 18", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 24)\nAnswer: (6 / 2) * (8 - 5) = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n5 + 3 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (6 / 2 + 5) * 8 = 64", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (8 - 5) = 24", "Steps:\n8 - 5 = 3 (left: 3 6 12)\n3 * 6 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (8 - 5) * 6 + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 5) * 4 = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 6 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (8 - (12 - 6))) + 4 = 24", "Steps:\n6 - 5 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 1.5 = 24 (left: 24)\nAnswer: (6 - 5) * (12 / 8) = 24", "Steps:\n6 + 8 = 14 (left: 5 12 14)\n14 - 12 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: 2 * 5 * (6 + 8 - 12) = 24", "Steps:\n12 - 6 = 6 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (8 - 5) * (12 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 5 8 3)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n12 / 0.5 = 24 (left: 24)\nAnswer: (12 / (6 / 2)) * (8 - 5) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 199936, "prompt_tokens": 65550, "cost": 13.96266}}, {"idx": 930, "ys": ["Steps:\n7 - 6 = 1 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (7 - 6) * (2 * 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Solution not possible with given numbers", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: ((7 - 2) * 4) + 6 = 24", "Steps:\n4 * 2 = 8 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 6) = 24", "Steps:\n2 * 4 = 8 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Invalid", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Invalid input, cannot get 24 with these numbers.", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n2 * 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution found.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (6 / 2) * (7 - 4) is not 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 5 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nThere is no possible solution to obtain 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nSolution not possible with given numbers.", "Steps:\n7 * 2 = 14 (left: 4 6 14)\n14 - 6 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (7 * 2) * (14 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nCannot be done with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis combination of numbers cannot make 24 using basic arithmetic operations.", "Steps:\n7 + 4 = 11 (left: 2 6 11)\n6 - 2 = 4 (left: 4 11)\n4 * 11 = 44 (left: 44)\nAnswer: There is no combination of these numbers that equals 24 using basic arithmetic operations.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nThere is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n4 * 6 = 24 (left: 5 24)\n24 / 5 = 4.8 (not valid, try another combination)\n\n6 - 2 = 4 (left: 4 4 7)\n4 * 7 = 28 (left: 4 28)\n28 - 4 = 24 (left: 24)\nAnswer: (6 - 2) * 7 - 4 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n*There is no way to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((7 - 4) * (6 / 2)) + 6 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n4 * 2 = 8 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: There is no possible way to get 24 using the given numbers and basic arithmetic operations.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (7 - 2) * (6 - 4) = 24", "Steps:\n7 - 2 = 5 (left: 4 6 5)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: None", "Steps:\n7 - 6 = 1 (left: 1 2 4)\n2 + 1 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 6 + 2) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n4 * 3 = 12 (left: 7 12)\n12 + 7 = 19 (left: 19)\nThis set of numbers cannot be used to form 24.", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 4) * (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n3 * 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: There is no way to obtain 24 with the given numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n7 + 4 = 11 (left: 2 6 11)\n6 - 2 = 4 (left: 4 11)\n4 * 11 = 24 (left: 24)\nAnswer: (7 + 4) * (6 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - 3) * 7 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((7 - 4) * 4) * (6 - (6 - 3)) = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n3 * 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Cannot form 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no possible solution with these numbers.", "Steps:\n4 * 6 = 24 (left: 2 7 24)\n7 - 2 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: Invalid Input", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 / 4 = 1.5 (left: 1.5 5)\n5 * 1.5 = 7.5 (left: 7.5)\nThere is no solution for this input.", "Steps:\n7 - 6 = 1 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (7 - 6) * (4 * 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nThis input cannot result in 24 using the given operations.", "Steps:\n4 * 6 = 24 (left: 2 7 24)\n7 - 2 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * ((7 - 2) / 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: 4 * (7 - (6 / 2)) + 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (7 * (4 - (6 / 2))) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: 9", "Steps:\n7 * 4 = 28 (left: 2 6 28)\n28 - 2 = 26 (left: 6 26)\n26 - 6 = 24 (left: 24)\nAnswer: (7 * 4 - 2) - 6 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nThis combination cannot make 24.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 5 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: (7 - 2) * (6 - 5) = 4", "Steps:\n4 / 2 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (6 / 2) * (7 - 6 / 2) = 16", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (no solution)", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (7 * (4 - 6 / 2)) + 3 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n7 * 2 = 14 (left: 4 6 14)\n14 - 4 = 10 (left: 6 10)\n10 + 6 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: No solution", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: There is no possible combination using these numbers to obtain 24.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n4 * 6 = 24 (left: 5 24)\n24 / 5 = 4.8 (not valid)\n\nThere is no valid way to obtain 24 using the given numbers and arithmetic operations.", "Steps:\n7 - 6 = 1 (left: 1 2 4)\n1 * 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * 4) * (7 - 6) = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis input cannot form 24.", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 4) * (6 / 2) = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (4 * (7 - 2)) + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n24 cannot be obtained with these numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution with these numbers.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (7 - 2) * (6 - 4) + 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 24 (left: 24)\nAnswer: ((6 / 2) * (7 - 4)) * 3 = 24", "Steps:\n7 - 6 = 1 (left: 1 2 4)\n4 / 2 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (4 / 2) * 24 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: (7 - 2) * (6 - 4) = 10", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: 2 * ((7 - 2) * (6 - 4)) + 4 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 4) * (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n4 + 3 = 7 (left: 7 7)\n7 * 7 = 49 (left: 49)\nNo possible combination to obtain 24.", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for this set of numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: No solution", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (7 - 2)) * (6 - 4) = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n5 * 4 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 6 = 24", "Steps:\n7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no solution to obtain 24 with these numbers."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 206172, "prompt_tokens": 67735, "cost": 14.40237}}, {"idx": 931, "ys": ["Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n10 + 4 = 24 (left: 24)\nAnswer: (10 / 5) * 2 + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + (10 - 25) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * (5) - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((10 / 2) * 5) - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 1 = 24 (left: 24)\nAnswer: (10 / 2) * (10 - 5) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2 * 5) - 10 = 24", "Steps:\n10 - 2 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (10 - 2) * (10 - 5) = 40", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + 10 = 24", "Steps:\n2 * 5 = 10 (left: 10 10 10)\n10 * 10 = 100 (left: 10 100)\n100 / 10 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 5) * (10 / 10) + 4 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + (25 - 10) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * (5 - (25 - 10)) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n24 is not possible with these numbers.", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 * 2 = 20 (left: 5 10 20)\n20 + 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 * 2) + 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: 24 cannot be obtained with these numbers", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (10 / 5) * 2 * 10 = 40", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 + 5 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\nAnswer: Not Possible", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * (5 - 5) + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: ((10 / 2) * 5) - 10 + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: ((10 / 2) * 5) + (10 - 1) = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * (2 * 2) = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 10 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (10 / 5) * 10 + 2 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 + 5 = 10 (left: 10 10)\n10 * 10 = 100 (left: 100)\n100 / 4 = 24 (left: 24)\nAnswer: (10 / 2 + 5) * 10 / 4 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: It is not possible to obtain 24 using these numbers.", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + (10 - (25 - 10)) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (10 / 2) * (5 * 5 - 10) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 * (10 - 5) = 24 (left: 24)\nAnswer: (10 / 2) * (25 - 10) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps: \n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (10 / 5) * 2 * 10 = 40", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 - 5 = 24 (left: 24)\nAnswer: (10 / 2) * (5 * 5 - 10) = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 25 (left: 24)\nAnswer: (10 / 2) * 5 + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: ((10 / 2) * 5) + 10 - 5 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 10 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (10 / 5 * 10) + 2 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2 * 5) - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n\nAnswer: Cannot form 24 with the given numbers.", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (10 / 2 * 5) - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 1 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 1 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (2 * (10 / 5)) * 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n1 * 24 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: Not possible to obtain 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\n15 + 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 + 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (10 / 5) * 2 * 10 = 40", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 24 (left: 24)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n25 - 10 = 15 (left: 15)\nAnswer: (10 / 2) * 5 - 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: ((10 / 5) * 2) * 10 = 24", "Steps:\n10 / 5 = 2 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (10 / 5) * 2 * 10 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 212984, "prompt_tokens": 69920, "cost": 14.87664}}, {"idx": 932, "ys": ["Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 7 = 13 (left: 6 13)\n13 * 6 / 13 = 24 (left: 24)\nAnswer: 6 * (12 - 6) + 7 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: None", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: 5 * (7 - (12 / 6)) = 30", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: No solution found", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n1 * 12 = 12 (left: 6 12)\n12 * 6 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - 12 / 6) * 6 = 30", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - (12 - 6)) * 6 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 7 = 42 (left: 6 42)\n42 / 6 = 7 (left: 7)\n7 * 6 = 24 (left: 24)\nAnswer: 7 * (12 - 6) / 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nNo solution", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n1 + 6 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\n84 / 3.5 = 24 (left: 24)\nAnswer: ((7 - 6) + 6) * 12 / 3.5 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 24 (left: 24)\nAnswer: (12 - 6) * 6 - 7 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (6 - (12 / 6)) * 7 = 28", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 24 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nAnswer: Not possible", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\nAnswer: There is no solution for this input.", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 / 7 = 24 (left: 24)\nAnswer: (12 - 6) * 6 / 7 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (7 - 6)) * (12 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - 6) * (12 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 7 = 13 (left: 6 13)\n13 - 6 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (6 * 3) * (12 - 6 - 7) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 / 12 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((6 + 6) / 12) * 7 + 3 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (6 - 12 / 6) * 7 = 28", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - 6) * (12 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n24 / 2 = 24 (left: 24)\nAnswer: 24 / (7 - 6) * (12 / 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - 6) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nAnswer: None", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nAnswer: (12 - 6) * 6 - 7 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((7 - 6) * 12) * (12 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 / 12 = 1 (left: 1 7)\n7 - 1 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (7 - (12 / 12)) = 24", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 - 7 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (6 + 6 - 7) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (6 * 6) * (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (7 - 6)) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (12 - 6) * (7 - 6) = 6 (no solution for 24)", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 / 12 = 1 (left: 1 7)\n1 * 7 = 24 (left: 24)\nAnswer: (6 + 6) * (7 - 12 / 12) = 24", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 + 7 = 19 (left: 12 19)\n19 + 12 = 24 (left: 24)\nAnswer: (6 + 6) + (7 + 12) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 7 12 12)\n12 - 7 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\nAnswer: The given numbers cannot form 24.", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 24 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 * 7 = 84 (left: 84)\n\nThere is no solution to obtain 24 with these numbers.", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 7 = 13 (left: 6 13)\n13 - 6 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (12 - 6) * (6 + 7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - (12 - 6)) * 6 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 6) * (6 + 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n6 / 1 = 6 (left: 6 12)\n6 * 12 = 24 (left: 24)\nAnswer: (6 / (7 - 6)) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 * 7 = 84 / 3.5 = 24 (left: 24)\nAnswer: (12 - 6) * (6 + 6) = 24", "Steps:\n12 / 6 = 2 (left: 6 7 2)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 24 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n6 * 4 = 24 (left: 6 7 24)\n7 - 6 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: 6 * (7 - 6) * 4 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 6) * (7 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 6) * (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 6) * (7 - 6) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 6) * (7 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 24 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 * 7 = 24 (left: 24)\nAnswer: (12 - 6) * (6 + 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n1 * 12 = 12 (left: 6 12)\n12 * 6 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n1 * 12 = 12 (left: 6 12)\n12 + 6 = 18 (left: 18)\nAnswer: (7 - 6) * 12 + 6 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (7 - (12 - 6)) * 6 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 * 12) / (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 6 7 2)\n7 - 2 = 5 (left: 6 5)\n6 * 5 = 30 (left: 30)", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 6) * (7 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution to obtain 24.", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (7 - (12 / 6)) * 6 = 30", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) = 24", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 / 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 6) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nAnswer: (12 - 6) * 6 - 7 = 29", "Steps:\n7 - 6 = 1 (left: 1 6 12)\n12 * 1 = 12 (left: 6 12)\n12 + 6 = 18 (left: 18)\n6 * 3 = 24 (left: 24)\nAnswer: (12 * (7 - 6)) + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nThis input does not allow to obtain 24.", "Steps:\n12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n36 - 7 = 29 (left: 29)\nAnswer: (12 - 6) * 6 - 7 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 6816, "prompt_tokens": 2185, "cost": 0.47451}}, {"idx": 933, "ys": ["Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nNo valid answer", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n9 * 3 = 27 (left: 27)\nAnswer: 9 * (6 / (11 - 9)) = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: No solution", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 * (11 - 9) * (9 - 6)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (6 - (11 - 9)) * 9 = 36", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (6 - (11 - 9)) * 9 = 36", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((11 - 9) * 6) - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (11 - 9) * 3 * 9 - 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (9 - (11 - 6)) = 36", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: None", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (11 - 9) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible.", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n11 + 9 = 20 (left: 6 9 20)\n20 - 6 = 14 (left: 9 14)\n14 + 9 = 24 (left: 24)\nAnswer: (11 + 9) - 6 + 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (11 - 6)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (9 - (11 - 6)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no valid solution for this input.", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no combination of these numbers that will result in 24.", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n12 * (9 - 6) = 24 (left: 24)\nAnswer: (11 - 9) * 6 * (9 - 6) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (11 - 9) * 6 + 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 36", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (9 - (11 - 6)) * 9 = 36", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n12 + 9 = 21 (left: 21)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 6 / (11 - 9) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (6 * (11 - 9)) + 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (11 - 6)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n9 * 3 = 27 (left: 27)\nAnswer: (11 - 9) * (6 / 2) = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (11 - 6)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - 5) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 36", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n9 + 12 = 24 (left: 24)\nAnswer: (11 - 9) * 6 + 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (9 - (11 - 6)) = 36", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * ((11 - 9) * (9 - 6)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: None", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - (11 - 6)) * 4 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (11 - 6)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (11 - 6)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 9) * (9 - 6) * 4 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 3 * (11 - 9) * 6 = 27", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - (11 - 6)) * 6 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / (11 - 9)) * 9 = 27", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (6 - (11 - 9)) * 9 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (11 - 9) * (9 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (6 - (11 - 9)) * 9 = 36", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n36 - 12 = 24 (left: 24)\nAnswer: (9 - (11 - 6)) * 9 - 12 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 6) * (9 - (9 - 5)) = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 - 3 = 24", "Steps:\n11 + 9 = 20 (left: 6 9 20)\n20 - 6 = 14 (left: 9 14)\n14 + 9 = 24 (left: 24)\nAnswer: (11 + 9) - 6 + 9 = 24", "Steps:\n11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / (11 - 9)) * 9 = 24", "Steps:\n11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (9 - (9 - 4)) = 24", "Steps:\n11 + 6 = 17 (left: 9 9 17)\n17 - 9 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (11 + 6 - 9) * 3 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 13558, "prompt_tokens": 4370, "cost": 0.94458}}, {"idx": 934, "ys": ["Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: 5 * (11 - (12 - 8)) = 35", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (11 - 5) * (12 - (11 - 5)) = 48", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 8) * 5) + 12 / 3 = 24", "Steps:\n8 + 5 = 13 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (8 + 5 - 11) * 12 = 24", "Steps:\n12 - 11 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 4 * (11 - (12 - 5)) = 32", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: The given numbers cannot be used to obtain 24 using the allowed operations.", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n24 * 2 = 48 (left: 24)\nAnswer: 2 * (8 * (11 - 5)) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n11 + 5 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 + 5 - 12) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 11 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 1 = 3 (left: 3)\nAnswer: No solution", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 24)\nAnswer: 5 * (11 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: None (No combination of these numbers can equal 24)", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: 5 * (11 - (12 - 8)) = 35", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 - 5) * (11 - 7) = 32", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No solution", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 / 8 = 1.5 (left: 1.5 5 11)\n11 - 5 = 6 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n9 * 2.66666666667 = 24 (left: 24)\nAnswer: ((12 / 8) * (11 - 5)) * 2.66666666667 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: 5 * (11 - (12 - 8)) = 35", "Steps:\n12 / 8 = 1.5 (left: 5 11 1.5)\n11 - 1.5 = 9.5 (left: 5 9.5)\n9.5 * 5 = 24 (left: 24)\nAnswer: 5 * (11 - 12 / 8) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 - 5) * (11 - 7) = 32", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: 5 * (12 / (11 - 8)) + 4 = 24", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThere is no possible combination of these numbers to obtain 24.", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (12 - 5) * (11 - 8) = 21", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 - 5) * (11 - 8) + 3 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 11 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution found", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: (12 - 5) * (11 - 8) = 21", "Steps:\n12 - 11 = 1 (left: 1 5 8)\n1 * 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no solution for this case.", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 4 = 4 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (12 / 4) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: (8 * (11 - (12 - 5))) = 32", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\nAnswer: (11 - 8) * 5 + 12 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThis input cannot produce 24.", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (8 - (11 - 5)) * 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (11 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24", "Steps:\n12 - 11 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 11) * (8 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (11 - 8))) + 4 = 24"], "infos": [{"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 20248, "prompt_tokens": 6555, "cost": 1.41153}}, {"idx": 935, "ys": ["Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (10 - 6) * (5 - 4) = 8", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 5)) * ((10 - 6) * 2) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (5 - (10 - 6))) = 24", "Steps:\n8 - 6 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: No solution", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) * 2 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 5) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 8)\n8 - 5 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 10 = 90 (left: 90)\nAnswer: Not possible", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 * 6 = 30 (left: 2 30)\n30 / 2 = 24 (left: 24)\nAnswer: (10 - 8) * 5 * 6 / 2 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (10 - 6) * (5 - 4) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (5 - (10 - 6)) * (8 - 1) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) * 2 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (5 - (10 - 6))) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - (10 - 6)) + (10 - 6) = 24", "Steps:\n8 - 6 = 2 (left: 2 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 1 = 24 (left: 24)\nAnswer: (5 * (8 - 6)) * (10 - 5) = 24", "Steps:\n6 - 5 = 1 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (8 - (10 - 6))) + 4 = 24", "Steps:\n8 - 5 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n10 - 6 = 4 (left: 4 8)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (6 / (8 - 5)) = 24", "Steps:\n5 + 6 = 11 (left: 8 10 11)\n10 - 8 = 2 (left: 2 11)\n11 * 2 = 22 (left: 22)\nAnswer: None", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) * 2 = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n5 * 6 = 30 (left: 8 30)\n30 - 8 = 24 (left: 24)\nAnswer: (10 - 5) * 6 - 8 = 24", "Steps:\n6 - 5 = 1 (left: 1 8 10)\n8 - 1 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\nAnswer: (6 - 5) * (10 - (8 - 1)) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 + 4 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: None", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (5 * (10 - 6)) + 8 = 24", "Steps:\n6 - 5 = 1 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n6 - 5 = 1 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - (10 - 6)) + (10 - 6) = 24", "Steps:\n6 + 8 = 14 (left: 5 10 14)\n14 - 10 = 4 (left: 4 5)\n4 * 5 = 20 (left: 24)\nAnswer: (6 + 8 - 10) * 5 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 5) * (6 - 5) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n6 + 10 = 16 (left: 16)\n16 * 1.5 = 24 (left: 24)\nAnswer: (5 * (10 - 8)) + 6 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) * 2 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: 6 * (10 - 8) * (5 * 2) / 2.5 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 5) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 + 4 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (10 - 6 + 5) * 8 = 72", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 * 6 = 30 (left: 2 30)\n30 - 2 = 28 (left: 28)\nAnswer: (10 - 8) * (5 * 6) = 28", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - 6)) * (8 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n8 * 1 = 8 (left: 24)\nAnswer: (5 - (10 - 6)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((10 - 6) - (5 - 4)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (10 - 5) * (8 - 5) = 18", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (10 - 5) * (6 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: 8 * (5 - (10 - 6)) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (8 - 6) * (10 - 5) = 10 (Cannot obtain 24 with these numbers)", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) * 2 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (10 - 6 + (5 - 4)) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - (10 - 6)) + (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (10 - 6) * (5 - (10 - 6)) = 8", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n5 * 5 = 25 (left: 6 8 25)\n25 - 6 = 19 (left: 8 19)\n19 + 8 = 24 (left: 24)\nAnswer: ((10 - 5) * 5) - 6 + 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: It is not possible to get 24 with these numbers using basic arithmetic operations.", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((10 - 6) * (8 - 5)) = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (10 - 5) * (6 - 5) = 8", "Steps:\n5 + 6 = 11 (left: 8 10 11)\n11 - 8 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\n10 - 6 = 4 (left: 4 5 8)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * (10 - 6)) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - 5) * (10 - 8) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - 5) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 5 = 20 (left: 20)\n20 + 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (6 / (10 - 8))) + 5 - 1 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - (10 - 6)) + 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 * 4 = 20 (left: 8 20)\n20 + 8 = 24 (left: 24)\nAnswer: (10 - 6) * 5 + 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (8 - (10 - 6)) + (10 - 6) = 24", "Steps:\n8 - 6 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (8 - 6) * (10 - 5) = 10 (not possible)", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 + 6 = 11 (left: 2 11)\n2 * 11 = 22 (left: 22)\n\nThere is no possible way to obtain 24 using these numbers and basic arithmetic operations.", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (5 - (10 - 6)) * 8 = 24", "Steps:\n5 + 6 = 11 (left: 8 10 11)\n10 - 8 = 2 (left: 2 11)\n11 * 2 = 22 (left: 22)\nNo solution found.", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (5 - (10 - 6)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (10 - 6) * (8 - 5) = 24", "Steps:\n10 / 5 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution found.", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (5 - (10 - 6)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - 5) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((10 - 6) * (8 - 5)) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 8) * (6 - 5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (5 - (10 - 6)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * 3) * (5 - (10 - 6)) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((10 - 6) * (8 - 5)) = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n8 - 5 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (10 - 8)) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (5 - (10 - 6))) = 24", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n10 - 8 = 2 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n10 * 6 / 2.5 = 24 (left: 24)\nAnswer: (5 * (10 - 8)) * (6 / 2.5) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((10 - 6) - (5 - 4)) * 8 = 24", "Steps:\n10 - 5 = 5 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 5) * (6 - 5) * 8 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * (5 - (10 - 6))) = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (8 - (10 - 6))) + 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((10 - 6) * 5) + (8 - 4) = 24", "Steps:\n8 - 6 = 2 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution for this input."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 27370, "prompt_tokens": 8740, "cost": 1.9044}}, {"idx": 936, "ys": ["Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution for obtaining 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No possible solution", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution", "Steps:\n13 - 12 = 1 (left: 1 6 11)\n11 - 6 = 5 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (11 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 11 13)\n13 - 11 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 * (12 / 12) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 * (12 / 12) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (12 / 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input cannot result in 24.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 + (12 - 12) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n12 - 11 = 1 (left: 1 6 13)\n1 * 13 = 13 (left: 6 13)\n13 - 6 = 7 (left: 7)\n7 * 3 = 21 (not possible)\n\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 11) * (12 / 2) = 36", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no possible solution to obtain 24 with the given numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 11) * (12 - 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo possible answer for this input.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no solution to get 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (13 - 11) * (12 - 6) = 12\nUnfortunately, there is no solution for this input to obtain 24.", "Steps:\n12 - 11 = 1 (left: 1 6 13)\n13 - 6 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 - 11) * (13 - 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt's not possible to get 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 6 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n12 * 3 = 36 (left: 36)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 11) * 6 + 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Cannot be solved.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 * (12 / 12) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution found.", "Steps:\n11 + 13 = 24 (left: 6 12 24)\n12 / 6 = 2 (left: 2 24)\n2 * 24 = 24 (left: 24)\nAnswer: (11 + 13) * (12 / 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 11) * (12 / 6) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no way to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (13 - 11) * (12 - 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution exists.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 11) * (12 / 6) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 - 2 = 4 (left: 4 12)\n4 * 12 = 24 (left: 24)\nAnswer: (6 - (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 11) * (12 / 6) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n12 - 11 = 1 (left: 1 6 13)\n13 - 6 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 6 = 42 (left: 42)\n42 / 2 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 * 7) / 2 + 3 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 6 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * ((13 - 11) * (12 / 6)) = 24", "Steps:\n12 - 6 = 6 (left: 6 11 13)\n13 - 11 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (13 - 11) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 11) * (12 - 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 11)\n11 - 6 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (not 24, so try a different approach)\n\nSteps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (not 24, so try a different approach)\n\nSteps:\n12 - 6 = 6 (left: 6 11 13)\n13 - 11 = 2 (left: 2 6)\n6 * 2 = 12 (not 24, so no solution)\n\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (13 - 11) * (12 / 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 11 13)\n13 - 11 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (6 * (13 - 11)) * (12 / 12) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 24)\nAnswer: (13 - 11) * (12 / 6) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 6 = 2 (left: 2 11 13)\n13 - 11 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no possible solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nNo solution", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 11)) * 12 = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no possible solution for this input.", "Steps:\n12 / 6 = 2 (left: 2 11 13)\n13 - 11 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n\nNo solution.", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n12 * 3 = 36 (left: 36)\nAnswer: (13 - 11) * (6 / 2) = 36", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (6 / 2) = 24", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (13 - 11) * (12 - 6) = 12", "Steps:\n13 - 11 = 2 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nIt is not possible to obtain 24 with these numbers."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 33711, "prompt_tokens": 10925, "cost": 2.3504099999999997}}, {"idx": 937, "ys": ["Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution with these numbers.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (8 / 2) * 2 * 8 = 64 (not possible to obtain 24)", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n8 - 4 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n4 + 4 = 8 (left: 8 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * 2) * (8 - (8 - 4)) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (2 + 8 / 2) * 8 = 24", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n8 - 4 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nThis combination of numbers does not make 24.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 - 2) = 24", "Steps:\n8 * 2 = 16 (left: 2 8 16)\n16 - 8 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: None", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (8 - 2) * (8 - 2) = 36", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\nNo possible way to reach 24 with these numbers.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis input cannot make 24.", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 8 = 16 (left: 2 8 16)\n16 - 8 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: (2 * 8) * (16 - 8) = 16", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThis set of numbers cannot make 24 with basic arithmetic operations.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 8 = 48 (left: 2 48)\n48 / 2 = 24 (left: 24)\nAnswer: (8 - 2) * 8 / 2 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * (8) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 = 96\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48\n2 * 2 = 4\n48 / 4 = 12 (left: 12)\nAnswer: Unable to obtain 24 with the given numbers.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (8 - 2) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 = 96 (left: 96)\nThere is no solution for this input.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n96 / 4 = 24 (left: 24)\nAnswer: ((8 - 2) * 2) * 8 / 4 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n8 / 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (8 / 2) * (8 / (8 / 2)) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 2 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (8 - 2) * 2 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (8 - 2) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (2 * 2) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((8 - 2) * 2) * 2 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nAnswer: None.", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 4 = 32 (left: 32)\nAnswer: None", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n4 * 2 = 8 (left: 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (8 - 2) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution to obtain 24 with these numbers", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (not possible)\nAnswer: not possible", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nThis combination of numbers cannot reach 24 using basic arithmetic operations.", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: 8 * (6 * (8 - 2)) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 = 96 (left: 96)\n96 / 4 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 / 4 = 24", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 / 4 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nThis combination does not make 24.", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\nAnswer: (8 - 2) * (6 * 2) = 96", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nNo combination of these numbers using basic arithmetic operations will give 24.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no combination of these numbers that can result in 24.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 8 / 4 = 24", "Steps:\n2 * 8 = 16 (left: 2 8 16)\n8 - 2 = 6 (left: 6 16)\n6 * 16 = 24 (left: 24)\nAnswer: (2 * 8) * (8 - 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 8 = 16 (left: 2 8 16)\n16 - 8 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: (2 * 8) * (16 - 8) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Cannot form 24 with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: ((8 - 2) * 2) * 8 / 4 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nThis input does not have a solution to reach 24.", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * 2 * 2 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nUnable to obtain 24 with these numbers.", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 2) * (2 * 6) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (8 - 8 / 2)) * 3 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 2) * (6 * 2) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 40010, "prompt_tokens": 13110, "cost": 2.7939}}, {"idx": 938, "ys": ["Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (12 - (13 - 7))) * 2 = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 24)\nAnswer: (13 - 7) * (12 / 2) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no solution using the given numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (12 - (13 - 7))) * 2 = 24", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n7 - 2 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 - 1 = 24 (left: 24)\nAnswer: (13 - 12) * (7 - 2) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 7) * 2 + 12 = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 24)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (12 - (13 - 7)) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (7 * (13 - 2)) + (12 - 11) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nThere is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nThis set of numbers cannot be used to make 24 using the given operations.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n7 - 2 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 24)\nAnswer: (13 - 7) * (12 / 2) = 24", "Steps:\n12 - 2 = 10 (left: 7 10 13)\n13 - 7 = 6 (left: 6 10)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 2) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: None", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 7 = 5 (left: 5 11)\n5 * 11 = 24 (left: 24)\nAnswer: (13 - 2) * (12 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 7) * 2 + 12 = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 7) * 2 + 12 = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 7 = 5 (left: 5 11)\n5 * 11 = 24 (left: 24)\nAnswer: (13 - 2) * (12 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Cannot obtain 24 with given numbers.", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n2 * 7 = 14 (left: 1 14)\n14 * 1 = 24 (left: 24)\nAnswer: (13 - 12) * (2 * 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n7 - 2 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo solution found.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 - 12 = 24 (left: 24)\nAnswer: (13 - 7) * (12 / 2) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 7) * (12 - (13 - 7)) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 - 6 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: Cannot form 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n7 * 2 = 14 (left: 1 14)\n14 * 1 = 24 (left: 24)\nAnswer: (13 - 12) * (7 * 2) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n7 - 2 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (13 - 12) * (7 - 2) = 24", "Steps:\n12 - 2 = 10 (left: 7 10 13)\n13 - 7 = 6 (left: 6 10)\n6 * 10 = 60 (left: 60)\nAnswer: Not possible", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n2 * 7 = 14 (left: 1 14)\n14 * 1 = 24 (left: 24)\nAnswer: (13 - 12) * (2 * 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n12 / 2 = 6 (left: 6 7 13)\n13 - 7 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nThere is no possible way to obtain 24.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 6 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Unable to obtain 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n12 - 2 = 10 (left: 7 10 13)\n13 - 10 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: The given numbers cannot be manipulated to result in 24.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nThis set of numbers cannot be used to obtain 24 using the provided rules.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nNo possible operations can result in 24.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no possible solution with these numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nCannot make 24.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n1 + 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: Invalid input (no solution)", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n2 * 7 = 14 (left: 1 14)\n14 * 1 = 24 (left: 24)\nAnswer: (13 - 12) * (2 * 7) = 24", "Steps:\n13 - 12 = 1 (left: 1 2 7)\n2 * 7 = 14 (left: 1 14)\n14 * 1 = 24 (left: 24)\nAnswer: (13 - 12) * (2 * 7) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (13 - 7) * (12 / 2) = 36", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 7) * 2 * (12 / 12) = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no solution for this input.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24", "Steps:\n13 - 2 = 11 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((13 - 2) - (12 - 11)) * 7 = 24", "Steps:\n13 - 7 = 6 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * (13 - 7)) * (12 / 12) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 46392, "prompt_tokens": 15295, "cost": 3.24237}}, {"idx": 939, "ys": ["Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 - 6 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 6) * (6 * 2) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 + 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2 + 6) * 2 = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 24 (left: 24)\nAnswer: ((6 / 2) - 8) * 12 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 8 / 6) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 8 = 16 (left: 2 16)\n16 + 2 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 + 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to obtain 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 8 = 16 (left: 2 16)\n16 + 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 / 6 * 8) + 2 + 6 = 24", "Steps:\n12 - 8 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 8) = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n5 * 12 / 5 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - (8 - 6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 8) = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n3 * 8 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 2 12)\n2 * 2 = 4 (left: 4 12)\n4 * 6 = 24 (left: 24)\nAnswer: (8 - 6) * (2 * 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (6 / 2) * (8 - 3) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * (6 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n3 * 8 = 24 (left: 12 24)\n24 / 12 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 2) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 + 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2 + 6) * 2 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 2) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n1.5 * 12 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 8) = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (6 / 2) * (12 - 8) = 12", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 + 6 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (12 / 2 + 6) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo possible solution.", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * (6 * 6) - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 24 not possible with these numbers", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * (6 * 6) - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (6 / 2) * (12 - 8) = 12", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 24 cannot be obtained with these numbers.", "Steps:\n12 - 6 = 6 (left: 2 6 8)\n6 * 2 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (12 - 6) * 2 * 8 = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 2) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 8) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 2) = 32", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 3 = 24", "Steps:\n8 - 6 = 2 (left: 2 2 12)\n2 * 2 = 4 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: (8 - 6) * 12 = 48", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible.", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (6 / 2) * (12 - 8) = 12", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 + 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2 + 6) * 2 = 24", "Steps:\n6 * 2 = 12 (left: 8 12 12)\n12 - 8 = 4 (left: 4 12)\n4 * 12 = 24 (left: 24)\nAnswer: (6 * 2) * (12 - 8) = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (6 / 2) * (8 - (6 / 2)) = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (12 - 8) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 + 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (6 + 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n8 - 2 = 6 (left: 2 6)\n6 * 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 2) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 8 = 16 (left: 2 16)\n16 + 2 = 18 (left: 18)\nAnswer: Not possible", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 8 1)\n8 * 1 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 * 2 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: ((2 * 6) * 2) - 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 2) = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n2 * 6 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (2 * 6) * (12 / 12) * 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (12 - 8) = 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * (2 * 2) = 32", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 8 12)\n8 / 3 = 2.67 (left: 2.67 12)\n12 * 2.67 \u2248 24 (left: 24)\nAnswer: (6 / 2) * (12 / (8 / 3)) \u2248 24", "Steps:\n12 / 6 = 2 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo solution.", "Steps:\n8 - 6 = 2 (left: 2 2 12)\n2 * 2 = 4 (left: 4 12)\n4 * 6 = 24 (left: 24)\nAnswer: (8 - 6) * (2 * 2) = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 / 8 = 4.5 (left: 4.5)\nAnswer: Invalid Input (unable to obtain 24)", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 6 = 36 (left: 8 36)\n36 - 8 = 24 (left: 24)\nAnswer: (12 / 2) * 6 - 8 = 24", "Steps:\n12 / 2 = 6 (left: 6 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 2) * (6 + 8) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 52894, "prompt_tokens": 17480, "cost": 3.6980399999999998}}, {"idx": 940, "ys": ["Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 9) * 3 * 2 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis combination cannot make 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: 19", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nNo solution exists.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * (4 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 3 = 16 (left: 16)\n16 + 3 = 19 (left: 19)\n19 + 4 = 23 (left: 23)\n23 + 4 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (13 - 9) + 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: (13 - 9) * 4 + 3 = 19", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Invalid Input (Cannot make 24 with given numbers)", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (13 - 9) * (3 * 4) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: 13 - 9 * 4 + 3 = 19", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n19 + 4 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (16 / (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis input cannot form 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n4 - 3 = 1 (left: 4 9 1)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\n9 + 4 = 13 (left: 3 13)\n13 - 3 = 10 (left: 10)\n3 * 10 = 30 (left: 30)\n\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nThis set of numbers cannot produce 24 using the given operations.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n4 / 4 = 1 (left: 3 1)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n4 * 3 = 12 (left: 4 12)\n12 + 4 = 16 (left: 16)\n16 + 3 = 19 (left: 19)\n4 * 3 = 12 (left: 4 12)\n12 + 4 = 16 (left: 16)\n16 + 3 = 19 (left: 19)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: (13 - 9) * (4 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 4 = 9 (left: 3 9 9)\n9 * 3 = 27 (left: 9 27)\n27 - 9 = 24 (left: 24)\nAnswer: (13 - 4) * 3 - 9 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis combination of numbers cannot make 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis input cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (16 / 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis input cannot produce 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 9) * (3 * 4) / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n19 + 4 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis input does not have a solution to obtain 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n4 * (13 - 9) * 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19) \n\nThis set of numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n4 - 3 = 1 (left: 1 9 13)\n13 - 9 = 4 (left: 1 4 4)\n4 * 4 = 16 (left: 1 16)\n16 * 1 = 16 (left: 16)\nNo solution", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 9) * 3 * (4 / 4) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Invalid input, cannot obtain 24 with given numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n3 * 4 = 12 (left: 12 13 9)\n12 + 9 = 24 (left: 13 24)\n13 - 4 = 9 (left: 9 9 4)\n9 + 9 = 18 (left: 4 18)\n4 * 3 = 12 (left: 12 9 13)\n12 + 9 = 24 (left: 13 24)\nAnswer: (3 * 4) + (13 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis input does not yield a 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nThere is no solution for this combination.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nCannot obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 / 2 = 24 (left: 24)\nAnswer: (13 - 9) * 3 * 4 / 2 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nNo solution can be found.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48\nNo solution", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis combination of numbers cannot reach 24 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (13 - 9) * 3 * 4 = 48", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n\nNo solution is possible with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (4 * (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n3 * (13 - 9) = 12 (left: 12)\n4 * 4 = 16 (left: 16)\n12 + 16 = 28 (left: 28)\nThis input does not result in 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (13 - 9) * 3 * 4 = 48\n\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: (13 - 9) * (4 * 4) - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 5.333 (not allowed, no valid operations left)\n\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (13 - 9) * (3 * 4) = 48", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (13 - 9) * 3 * 4 = 48", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nThere is no solution to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 3 9 9)\n9 / 3 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no combination of operations that can result in 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 * 3 = 48 (left: 48)\nAnswer: Not possible to obtain 24 with provided numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nUnfortunately, it is not possible to get 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (13 - 9) * 4 / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 * (16 / 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 3 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (3 + 4) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (13 - 9) * 3 * 4 = 48", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n3 * 4 = 12 (left: 12 13 9)\n12 + 9 = 21 (left: 13 21)\n21 - 13 = 8 (left: 8)\n\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Cannot be done with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: (13 - 9) * (4) = 16, no solution for 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 3 (left: 3 3)\n3 * 3 = 24 (left: 24)\nAnswer: 3 * (13 - 9) * 4 / 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: No solution", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (13 - 9) * (4 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: No combination of these numbers can obtain 24.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: (13 - 9) * (4 - 3) = 13", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: There is no solution using the numbers 3, 4, 9, and 13.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: There is no possible combination for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * (4 * 4 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 5.333 (doesn't work)\n\n4 - 3 = 1 (left: 1 9 13)\n13 - 9 = 4 (left: 1 4)\n4 * 1 = 4 (doesn't work)\n\n9 - 3 = 6 (left: 4 6 13)\n13 - 6 = 7 (left: 4 7)\n4 * 7 = 28 (doesn't work)\n\nThere is no solution to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 8 (left: 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (16 / 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 5.333 (no solution)", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Cannot make 24 with given numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (13 - 9) * 4 - 3 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 59741, "prompt_tokens": 19665, "cost": 4.17441}}, {"idx": 941, "ys": ["Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (10 - 5) * (12 - 4) = 40", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: (12 / 4) * (5 - 3) * 10 = 20", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (12 / 4) * (10 - 5) = 15", "Steps:\n12 - 4 = 8 (left: 5 10 8)\n10 - 8 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: 5 * (10 - (12 - 4)) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n6 * 4 = 24 (left: 5 24)\n24 - 5 = 19 (left: 19)\nAnswer: (10 - 4) * 4 - 5 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n8 * 5 = 40 (left: 40)\nAnswer: (12 - 4) * (10 - 5) = 40", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 2 = 2 (left: 5 6)\n5 * 6 = 24 (left: 24)\nAnswer: 5 * (10 - 4) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 4 = 14 (left: 14)\n14 + 5 = 19 (left: 19)\n19 + 5 = 24 (left: 24)\nAnswer: ((10 - 4) * (12 / 6)) + 5 + 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 10 8)\n10 - 8 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 + (10 - (12 - 4))) * 2 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (4 * 5) * (10 - 12) = 20", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (10 - (12 - 4))) + 4 = 24", "Steps:\n4 * 5 = 20 (left: 10 12 20)\n20 + 4 = 24 (left: 10 24)\n24 - 10 = 14 (left: 14)\nAnswer: (4 * 5) + (24 - 10) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: No solution found", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 14 = 24 (left: 24)\nAnswer: (10 - 4) * (12 / 6) + 14 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 - 1 = 24 (left: 24)\nAnswer: (12 / (10 - 4)) * 5 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (12 - 10) + (4 * 5) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (12 - 4) + (10 - (10 - 8)) * 5 = 24", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (12 - 4) * (10 - 8) = 10", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n5 * 6 = 30 (left: 12 30)\n30 - 12 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (5 * (10 - 4)) - 12 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n6 * 4 = 24 (left: 5 24)\n24 / 5 = 4.8 (left: 4.8)\nAnswer: None", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n8 - 5 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (12 - 4) * (10 - 5) = 30", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (12 - 4) * (10 - 8) = 10", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 24 (left: 24)\nAnswer: (4 * 5) * (10 - (12 - 4)) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (12 - 10) + (4 * 5) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Invalid", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (10 - 5) = 24", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible.", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\nAnswer: (4 * (5 - (12 - 10))) * (10 - 9) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (10 - 4) * (12 - (10 - 4)) = 30", "Steps:\n12 - 5 = 7 (left: 4 7 10)\n10 - 7 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (4 * (10 - (12 - 5))) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((12 - 4) - 10) * 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (4 * 5) * (10 - 4) / (12 / 6) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: Cannot obtain 24 with these numbers", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (4 * (5 - (10 - 12))) = 20", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 - 5 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: No solution", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (12 - 10) + (4 * 5) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (10 - 5) = 40", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (4 * (9 - (13 - 10)) * 8 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no solution for these numbers.", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: No solution", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: 4 + ((10 - 4) * (12 / 6)) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (12 - 4) * (10 - 8) = 10\nUnfortunately, there is no way to obtain 24 with the given numbers.", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n8 - 5 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no possible solution for this input.", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: No solution", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (10 - 5) = 40", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (4 - (12 - 10)) * (10 - 5) = 10", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n5 * 2 = 10 (left: 10)\n10 + 10 = 20 (left: 20)\n24 - 20 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((12 - 4) * 5) - (10 - 8) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n5 + 6 = 11 (left: 11 12)\n12 - 11 = 1 (left: 1)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - (10 - 4)) * (5 + 6) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (10 - (12 - 4)) * 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (10 - 5) * (12 - 4) = 24", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 4 = 24 (left: 24)\nAnswer: (4 + (12 / (10 - 4))) * 5 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 * 2 = 40 (left: 40)\nAnswer: Not Possible", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 4) * (10 - 8) = 20", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (12 - 4) * (10 - 8) = 10", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n6 * 4 = 24 (left: 5 24)\n24 - 5 = 19 (left: 19)\nAnswer: (10 - 4) * 4 - 5 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (12 - 10) + (4 * 5) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n12 - 4 = 8 (left: 5 10 8)\n10 - 8 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * 5) * (10 - 12 + 4) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: No solution", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: None", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 / 4 = 3 (left: 3 5 10)\n10 - 3 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (4 * 5) * (10 - 12 / 4) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: No solution", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((10 - 4) / 12) * 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (12 - 4) * ((10 - 8) * 2.4) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (12 - 10) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (4 / (12 - 10)) * 5 = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 24 (left: 24)\nAnswer: (4 * (10 - 4)) + 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((12 - 4) * (10 - 8)) + 4 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / (10 - 4)) * 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - (12 - 4)) * 5 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (10 - 5) = 40", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n2 * 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: 5 * (4 * (12 - 10)) = 40", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: 5 * (10 - 4) = 30", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 4 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: ((10 - 4) * (12 / 6)) + 4 + 10 = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (10 - 5) * (12 - 4) = 24", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (10 - (12 - 4))) + 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n2 * 4 = 8 (left: 5 8)\n8 * 5 = 40 (left: 40)\nAnswer: 5 * (4 * (12 - 10)) = 40", "Steps:\n12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 5 2)\n5 * 2 = 10 (left: 10)\nAnswer: (5 * (10 - (12 - 4))) = 24", "Steps:\n10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 14 = 24 (left: 24)\nAnswer: (10 - 4) * ((12 / 6) * 5) = 24", "Steps:\n12 - 10 = 2 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n8 * 5 = 40 (left: 40)\nAnswer: 5 * (4 * (12 - 10)) = 40"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 66608, "prompt_tokens": 21850, "cost": 4.65198}}, {"idx": 942, "ys": ["Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((11 - 7) - 2) * 12 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Invalid, cannot obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: This set of numbers cannot form 24.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 - 1 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 7) * (2 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No Solution", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (11 - 7) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((11 - 7) - 2) * 12 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (4 - 2) * 12 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution found.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((11 - 7) - 2) * (1 * 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (11 - 7) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((11 - 7) - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (11 - 7) * 2 = 8", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Unable to obtain 24 with given input.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (11 - 7)) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Input not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 7)) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Invalid (cannot obtain 24 from given numbers)", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n7 - 1 = 6 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (7 - 1) * (11 - 2) = 54", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - 7 + 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 - 1 = 1 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (11 - 7)) * (2 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 + (11 - 7)) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\n\nNo solution found.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 2 * (3 * (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 2 = 9 (left: 1 7 9)\n7 - 1 = 6 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (7 - 1) * (11 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - (7 + 1)) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (11 - 7)) * (4 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 * 1 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: Unable to obtain 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n2 - 1 = 1 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: (11 - 7) * (2 - 1) = 4", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nNo possible solution.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Invalid Input, cannot make 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n1 + 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (1 + 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (2 * (4 - 2)) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nThere is no solution using these numbers.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - (7 - 2)) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * (11 - 7)) * (4 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (11 - 7)) * (4 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (11 - 7)) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 8) * (4 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: Not possible to obtain 24 with given numbers", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 1 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - 7 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to get 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * 2 * 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 7) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((11 - 7) - 2) * (1 * 12) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 + 2 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 + (11 - 7)) * (4 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (11 - 7) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 73438, "prompt_tokens": 24035, "cost": 5.12733}}, {"idx": 943, "ys": ["Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n8 - 6 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (8 - 6) + (4 * 5) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (8 - 4) * 5 + 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * 8 / 4 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n80 / 4 = 24 (left: 24)\nAnswer: 4 * (6 - 4) * 5 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\n\nAnswer: There is no solution", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n1.5 * 8 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n17 - 8 = 24 (left: 24)\nAnswer: (4 / 6) * 8 + ((5 - 8)) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 3 = 24 (left: 24)\nAnswer: (6 - 4 + 5) * 3 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 5 = 20 (left: 6 8 20)\n20 + 4 = 24 (left: 6 24)\n6 - 6 = 0 (left: 24)\nAnswer: (4 * 5) + (6 - 6) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 - 4) * (5 - (6 - 4)) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n5 - 1.5 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 24)\nAnswer: (5 - (6 / 4)) * 8 = 24", "Steps:\n5 + 4 = 9 (left: 6 8 9)\n6 * 8 = 48 (left: 9 48)\n48 / 9 = 24 (left: 24)\nAnswer: (5 + 4) * 6 * 8 / 9 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 - 4) * (5 - 2) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n2 * 3 * 4 = 24 (left: 24)\nAnswer: (6 - 4) * (8 - 5) * 4 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n8 - 6 = 2 (left: 2 4 5)\n4 * 5 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (8 - 6) + (4 * 5) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 / 2 = 24 (left: 24)\nAnswer: (6 - 4 + 5) * 8 / 2 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 + 5 = 9 (left: 6 8 9)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 / (9 - 8) = 24 (left: 24)\nAnswer: (4 + 5) * (6 * 4 - 8) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n1.5 * 8 = 12 (left: 5 12)\n5 * 12 / 5 = 24 (left: 24)\nAnswer: (6 / 4) * 8 * (5 / 5) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 20 (left: 24)\nAnswer: (6 - 4) * 5 * 8 / 4 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n8 - 5 = 3 (left: 1.5 3)\n1.5 * 3 = 4.5 (left: 4.5)\n4.5 * 5 = 22.5 (left: 22.5)\nAnswer: No solution", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n8 / 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (6 - 4) * (8 / 2) = 20", "Steps:\n6 + 4 = 10 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (6 + 4) * (10 - 5) = 40", "Steps:\n4 * 5 = 20 (left: 6 8 20)\n20 + 4 = 24 (left: 6 24)\n24 - 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (4 * 5) + (6 * 2 / 2) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 + 8 = 18 (left: 18)\nAnswer: (6 - 4) * 5 + 8 = 24", "Steps:\n5 + 4 = 9 (left: 6 8 9)\n6 * 8 = 48 (left: 9 48)\n48 / 9 = 24 (left: 24)\nAnswer: (5 + 4) * (6 * 8) / (5 + 4) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 4 = 14 (left: 14)\n14 + 5 = 19 (left: 19)\n19 + 6 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (8 - 4) * (6 - 4) + (5 - 1) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (8 - 4) * 5 + 6 = 24", "Steps:\n4 * 5 = 20 (left: 6 8 20)\n8 - 6 = 2 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (8 - 6) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (8 - 4) * (6 - (4 - 5)) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 + 10 = 18 (left: 18)\n6 * 4 = 24 (left: 24)\nAnswer: (6 - 4) * 5 + 8 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (10 * (6 - 4)) * 8 / 4 = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((6 - 4) * 5) + (8 - 4) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 / 2 = 28 / 2 (left: 24)\nAnswer: (6 - 4 + 5) * 8 / 2 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n8 * 7 = 56 (left: 56)\nAnswer: (6 - 4 + 5) * 8 = 56", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n2 * 8 = 16 (left: 5 16)\n16 + 5 = 21 (left: 21)\nAnswer: (6 - 4) * 8 + 5 = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n6 + 4 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (8 - 4) * 5 + 6 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n5 - 1.5 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 28)\nAnswer: (6 / 4) * (5 - 6 / 4) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: (8 - 4) * (6 - 4) * 5 = 20", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72/3)\n72 / 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 8 = 13 (left: 2 13)\n2 * 13 = 26 (left: 26)\nAnswer: (6 - 4) * (5 + 8) = 26", "Steps:\n6 - 5 = 1 (left: 1 4 8)\n8 / 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 8) * (6 - 5) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 8 = 13 (left: 2 13)\n2 * 13 = 24 (left: 24)\nAnswer: (6 - 4) * (5 + 8) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 6 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (8 - 4) * (6 - (4 + 5)) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: 2 * (5 * (6 - (8 - 4))) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n5 + 6 = 11 (left: 4 8 11)\n11 - 8 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (5 + 6 - 8)) * 2 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * 8 / 4 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: There is no solution using the given numbers and operations.", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n5 - 1.5 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 24)\nAnswer: (5 - 6 / 4) * 8 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 8 = 13 (left: 2 13)\n2 * 13 = 26 (left: 26)\nAnswer: (6 - 4) * (5 + 8) != 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 + 10 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((6 - 4) * 5) + 8 = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (6 - (8 - 4)) * 5 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: No solution", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n1.5 * 8 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n17 - 8 = 9 (left: 9)\n9 * (6 / 4) = 24 (left: 24)\nAnswer: (6 / 4) * (17 - 8) = 24", "Steps:\n4 * 5 = 20 (left: 6 8 20)\n8 - 6 = 2 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (4 * 5) + (8 - 6) = 24", "Steps:\n6 + 4 = 10 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (6 + 4 - 5) * 8 = 40 (cannot obtain 24 with these numbers)", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 / 2 = 24 (left: 24)\nAnswer: (7 + (6 - 4)) * 8 / 2 = 24", "Steps:\n4 + 6 = 10 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (4 + 6 - 5) * 8 = 40", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: (8 * (5 * (6 - 4))) / 4 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 10 = 24 (left: 24)\nAnswer: (6 - 4) * 5 * 8 / 10 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n5 - 1.5 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 24)\nAnswer: (5 - (6 / 4)) * 8 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 72", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n8 * 7 = 56 (left: 56)\nAnswer: (8 * 7) = 56", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n8 - 5 = 3 (left: 1.5 3)\n1.5 * 3 = 4.5 (left: 4.5)\n4.5 * 5 = 22.5 (left: 22.5)\nAnswer: None", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 * 8 / 4 = 24 (left: 24)\nAnswer: ((6 - 4) * 5) * 8 / 4 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n5 + 8 = 13 (left: 13 24)\n24 * 13 = 312 (left: 312)\nAnswer: (4 * 6) * (5 + 8) = 312", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 - 4 + 5) * 8 = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no solution for this set of numbers.", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 + 6 = 24 (left: 24)\nAnswer: (8 - 4) * 5 + 6 = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72) (This step is not needed)\nAnswer: 4 * 6 = 24", "Steps:\n8 - 4 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((8 - 4) * (6 - 4)) + 4 = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 5 8)\n5 - 1.5 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 28)\nAnswer: Unfortunately, it is not possible to obtain 24 from the numbers 4, 5, 6, and 8 using the given restrictions.", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\n\nNo solution found.", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 + 10 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((6 - 4) * 5) + 8 = 24", "Steps:\n5 + 4 = 9 (left: 6 8 9)\n8 - 6 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThis input cannot produce 24 using basic arithmetic operations.", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: No solution", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: No solution found.", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: Not possible", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nNot possible to obtain 24 with given numbers.", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 8 = 13 (left: 2 13)\n2 * 13 = 24 (left: 24)\nAnswer: (6 - 4) * (5 + 8) = 24", "Steps:\n4 * 6 = 24 (left: 5 8 24)\n8 - 5 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: (4 * 6) * (8 - 5) = 24", "Steps:\n6 - 4 = 2 (left: 2 5 8)\n5 + 2 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (6 - 4) + 5 * 8 = 24 (This is not a valid answer, as the final result is 56, not 24. There is no possible solution for these numbers.)"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 80470, "prompt_tokens": 26220, "cost": 5.6148}}, {"idx": 944, "ys": ["Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 28\nAnswer: (13 - 6) * (12 - 10) = 14", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (13 - 10) * 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n2 * 12 = 24 (left: 7 24)\n24 / 7 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (12 / (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 24 (left: 24)\nAnswer: (13 - 6) * 2 * (12 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n10 - 7 = 3 (left: 3 12)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 6) * (10 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n6 * 10 = 60 (left: 1 60)\n60 / 1 = 24 (left: 24)\nAnswer: (6 * 10) / (13 - 12) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (13 - 6) * (12 - 10) = 14", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n7 * 2 = 14 (left: 14)\nAnswer: 7 * (12 - 10) = 14", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nNo solution", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 10 13)\n13 - 10 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 / 6 = 5/3 (left: 1 5/3)\n1 * 5/3 = 5/3 (left: 5/3)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (6 * 10 - 6) * (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 3) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 13)\n6 * 2 = 12 (left: 12 13)\n13 + 12 = 24 (left: 24)\nAnswer: (13 + 12) * (12 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n7 * 2 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: ((13 - 6) * (12 - 10)) + 10 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 28 (left: 28)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (13 - 6) * (12 - 10) = 14", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 * (12 / 6)) - (13 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 / 7 = 1.714 (left: 1.714 10)\n10 - 1.714 = 8.286 (left: 8.286)\n8.286 * 2.9 = 24 (left: 24)\nAnswer: (6 - 10) * (12 / (13 - 6)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 / 1 = 10 (left: 6 10)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (10 / (13 - 12)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 * (12 / 6)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (13 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (13 - 6) * (12 - 10) = 14", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) * 2 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 / 6)) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n6 + 10 = 16 (left: 1 16)\n1 * 16 = 24 (left: 24)\nAnswer: (13 - 12) * (6 + 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * 4 * (12 / 6) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n1 * 6 = 6 (left: 6 10)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 12) * 6 * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 24 (left: 24)\nAnswer: (12 - 10) * (13 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 10 13)\n13 - 10 = 3 (left: 3 6)\n6 * 3 = 24 (left: 24)\nAnswer: (12 - 6) * (13 - 10) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 7 2)\n7 * 2 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 13)\n6 * 2 = 12 (left: 12 13)\n13 + 12 = 25 (left: 25)\nAnswer: (12 - 10) * 6 + 13 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (12 / 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 * 2 = 28 (left: 28)\nAnswer: (13 - 6) * (12 - 10) = 14", "Steps:\n12 / 6 = 2 (left: 2 10 13)\n13 - 10 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (13 - 10) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (13 - 6) * (12 - 10) = 14\n\nUnfortunately, it is not possible to obtain 24 with the given numbers 6, 10, 12, and 13 using only basic arithmetic operations.", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * ((13 - 10) * (12 / 6)) = 24", "Steps:\n13 - 10 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 6) * 4 = 24", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n7 * 2 = 14 (left: 14)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 6) * (12 - 10) + 10 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 87775, "prompt_tokens": 28405, "cost": 6.11865}}, {"idx": 945, "ys": ["Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n6 * 1 = 6 (left: 6 9)\n9 + 6 = 15 (left: 15)\nAnswer: (9 - 3) * 1 + 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * (9 - (9 - 3)) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis input does not have a solution to obtain 24.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 / 9 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) * (24 / 9) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * (9 - (9 - 3)) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 26 (left: 26)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) * 1 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 26 (left: 26)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nNo solution found.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n9 - 1 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * (9 - 1) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n24 / 3 = 8 (left: 8)\nAnswer: 24 / ((9 - 3) * (9 - 6)) = 8", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 1 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 / 3) * 9 - 3 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 9 / 3) * (3 + 1) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) * (9 / 9) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nCannot obtain 24 with these numbers.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no solution for this input.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n1 + 6 = 7 (left: 7 9)\n7 * 3 = 21 (left: 9 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 + (9 - 3)) * 3 + 9 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 9 / 3) * (3 + 1) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 + 8 = 11 (left: 11 9)\n11 * 9 / 4.5 = 24 (left: 24)\nAnswer: ((9 - 1) + 3) * 9 / 4.5 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 9 / 3) * (1 + 3) = 24", "Steps:\n1 + 3 = 4 (left: 4 9 9)\n4 * 9 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: ((1 + 3) * 9) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (9 - 1) * (9 - 3) = 48", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (1 + 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (9 - 1) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nSorry, it is not possible to obtain 24 with the given numbers.", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) * (9 / 9) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - 9 / 3)) * 4 = 24", "Steps:\n1 * 3 = 3 (left: 3 9 9)\n9 - 3 = 6 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 3) * (9 - 3) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 26 (left: 26)\nAnswer: (9 / 3) * 9 - 1 = 26", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - 9 / 3)) * 4 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 26 (left: 24)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 9 / 3) * (1 + 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n6 * 4 = 24 (left: 1 24)\n1 * 24 = 24 (left: 24)\nAnswer: (9 - 3) * (1 * 6) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - 9 / 3)) * 4 = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n6 * 1 = 6 (left: 6 9)\n9 * 6 = 54 (left: 54)\nAnswer: none", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n1 + 6 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\n\nThere is no solution for this input.", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) * (9 / 9) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n9 - 1 = 8 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (9 - 1) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 + 9 = 33 (left: 33)\nAnswer: (3 * (9 - 1)) + 9 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 1 6 9)\n6 * 1 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 2 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (9 - 3) * 1 * (9 / 2) - 3 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 / 3 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (9 / 3) * 9 - 1 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n1 + 3 = 4 (left: 4 9 9)\n4 * 9 = 36 (left: 9 36)\n36 - 9 = 24 (left: 24)\nAnswer: (1 + 3) * 9 - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (9 - 1) * 3 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: (9 - 1) * (8 - 3) = 45", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 / 9 = 24 (left: 24)\nAnswer: (3 * (9 - 1)) / 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (9 - 1)) - 9 = 24", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (9 - 1) * (9 - 3) = 48", "Steps:\n9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 1) * (9 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 94250, "prompt_tokens": 30590, "cost": 6.572699999999999}}, {"idx": 946, "ys": ["Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no possible way to obtain 24 with these numbers and the given operations.", "Steps:\n4 + 4 = 8 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 / 4 = 24 (left: 24)\nAnswer: 8 * (11 - 1) / 4 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * 8 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 1) * (4 - (4 / 4)) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (1 * (16 - 11)) * 4 = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((4 * 4) - 11) * 1 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nThis combination of numbers cannot make 24.", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis input cannot form 24 using basic arithmetic operations.", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThere is no way to obtain 24 with these numbers.", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (11 - 4) * (4 - 1) = 21", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 24 (left: 24)\nAnswer: (1 * (4 * 4 - 11)) * 5 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThis problem cannot be solved with the given numbers and operations.", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (11 - 1) + (4 * 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo solution", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nNo solution", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible to obtain 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * 8 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * 8 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 4) * (11 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 4)) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n4 + 4 = 8 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 / 4 = 24 (left: 24)\nAnswer: (11 - 1) * (4 + 4) / 4 = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: None", "Steps:\n4 + 4 = 8 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n8 * 10 / 8 = 24 (left: 24)\nAnswer: (8 * (11 - 1)) / 4 = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * 8 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (7 - 4)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: Not possible to get 24 with these numbers", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: 1 * (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (11 - 4 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 1) = 24", "Steps:\n4 * 4 = 16 (left: 1 11 16)\n16 - 11 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (1 * (4 * 4 - 11)) + 1 = 24", "Steps:\n11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: None"], "infos": [{"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 100954, "prompt_tokens": 32775, "cost": 7.040489999999999}}, {"idx": 947, "ys": ["Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Invalid input, cannot obtain 24 with the given numbers.", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n2 * 3 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (10 - (2 * 3)) * 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (10 - (3 * 2)) * 9 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (10 - (3 * 2)) * 9 = 36", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 8 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (9 - (10 - 2)) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (2 * 3) * (10 - 9) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n9 - 3 = 6 (left: 2 6 10)\n2 * 6 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (2 * (9 - 3)) + 10 = 24", "Steps:\n2 * 3 = 6 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * 3) * (10 - 9) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: No solution", "Steps:\n9 - 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (10 - (3 * 2)) * 9 = 36", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no solution for this input.", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\n\nNo solution found.", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: No possible combination to obtain 24", "Steps:\n10 - 2 = 8 (left: 3 9 8)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (10 - 9) * (2 * 3) = 6", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: 3 * (9 - 2) - (10 - 7) = 24", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (10 - (9 - 2))) - 3 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (10 - (3 * 2)) * 9 = 24", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (10 - (9 - 2)) * (3) = 9", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (10 - 9) * (2 * 3) = 6", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (10 - 9) * (2 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (10 - 2) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (10 - 9) * (2 * 3) = 6", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (2 * 3) * (10 - 9) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (10 - 2) * (9 - 3) = 48", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (10 - 9) * (2 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * (10 - 2) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n1 + 2 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * ((10 - 9) + 2)) - 3 = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (10 - 9) * (2 * 3) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: Not possible", "Steps:\n3 * 9 = 27 (left: 2 10 27)\n27 - 10 = 17 (left: 2 17)\n17 - 2 = 15 (left: 15)\n2 * 15 = 30 (left: 30)\n10 - 2 = 8 (left: 8 30)\n30 - 8 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (2 + (3 * 9) - 10) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no solution with these numbers.", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n1 * 2 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 9) * 2 * 3 * 4 = 24", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - (9 - 2)) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nNo solution found.", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - 9) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (10 - 2) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * (10 - 2)) - 9 = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 + 3 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (10 - 9) * (2 + 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 / 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - 9) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no solution for this input.", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n\nThere is no possible solution to obtain 24 from the numbers 2, 3, 9, and 10 using only basic arithmetic operations.", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n10 / 2 = 5 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 3) * (10 / 2) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (10 - 2) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (2 * 3) * (10 - 9) = 24", "Steps:\n9 - 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n7 * 2 = 14 (left: 9 14)\n14 + 9 = 23 (left: 23)\nAnswer: (10 - 3) * 2 + 9 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n3 - 2 = 1 (left: 1 1)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 9) * 24 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (3 * 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this set of numbers.", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (10 - 9) * (2 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n1 + 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 9 + 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (3 * 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (10 - 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - 9) = 24", "Steps:\n3 + 9 = 12 (left: 2 10 12)\n10 - 2 = 8 (left: 8 12)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 + 9) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No solution", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None", "Steps:\n10 - 9 = 1 (left: 1 2 3)\n2 * 3 = 6 (left: 1 6)\n6 * 1 = 24 (left: 24)\nAnswer: (2 * 3) * (10 - 9) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (10 - (3 * 2)) * 9 = 36", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (10 - 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (3 * 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (9 - 3) * (10 - 2) = 24", "Steps:\n9 - 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (10 - (9 - 3))) * 3 = 24", "Steps:\n9 - 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (2 * (10 - (9 - 3))) = 24", "Steps:\n9 - 2 = 7 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (9 - 2)) - (10 - 7) = 24", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (10 - 3 * 2) * 9 = 36", "Steps:\n10 - 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (9 - 3) = 24", "Steps:\n2 * 3 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 24)\nAnswer: (10 - 2 * 3) * 9 = 24", "Steps:\n3 + 9 = 12 (left: 2 10 12)\n10 - 2 = 8 (left: 8 12)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 + 9) = 24", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n7 * 2 = 14 (left: 9 14)\n14 + 9 = 23 (left: 23)\nAnswer: The given numbers cannot be used to make 24.", "Steps:\n3 * 2 = 6 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (10 - (3 * 2)) * 9 = 36", "Steps:\n10 - 3 = 7 (left: 2 7 9)\n9 - 7 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 107441, "prompt_tokens": 34960, "cost": 7.49526}}, {"idx": 948, "ys": ["Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n2 * 1 = 2 (left: 2 3 13)\n3 * 2 = 6 (left: 6 13)\n6 + 13 = 19 (left: 19)\n19 + 5 = 24 (left: 24)\nAnswer: (1 * 2) * 3 + 13 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: 1 * (11 - (13 - 2)) = 8", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (1 * (11 - 3)) = 24", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) * (11 - 3) = 8", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (13 - 1) / 2 * 3 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 * 2 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 1) * 2 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (13 - 1) * 2 / 3 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) - 3 = 8, there is no solution to obtain 24 using these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) - (3 - 1) = 8", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * 8) * (13 - 2 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 * 6 = 72 (left: 72)\n\nAnswer: It is not possible to get 24 with the given numbers.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n3 - 2 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (3 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 3) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no possible solution using these numbers.", "Steps:\n2 * 3 = 6 (left: 1 6 13)\n13 - 6 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (1 * 8) * (13 - 2) = 24 (this answer is incorrect, it is not possible to obtain 24 using the given numbers)", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 1 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot produce 24 with the given operations.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\n\nAnswer: None", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 1 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: No solution", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((13 - 1) / 3) * 2 = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThere is no solution with these numbers.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 * 2 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 1) * 2 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) * (11 - 3) = 8 (wrong)", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This combination cannot be used to obtain 24.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: No solution", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nNo solution found.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 * 6 = 72 (left: 72)\nAnswer: (13 - 1) * (2 * 3) = 72", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: 3 * (11 - 1) = 30", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 2 - 1) * 3 = 30", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n6 * 3 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThis input cannot make 24.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (13 - 1) / 2 * 3 = 18", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * 8) * (13 - 2 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 3 = 4 (left: 2 4)\n4 * 2 = 8 (left: 8)\n2 * 8 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (1 * 2) * (3 * (13 - 1)) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 * 8) * (13 - (2 + 3)) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (1 * 8) * (13 - 2 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (1 * (13 - 2) - 3) = 8 (not possible to obtain 24)", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 2) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n1 + 2 = 3 (left: 3 3 13)\n3 * 3 = 9 (left: 9 13)\n13 + 9 = 24 (left: 24)\nAnswer: (1 + 2) * 3 + 13 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 2 - 1) * 3 = 30", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 * 6 = 72 (left: 72)\nAnswer: (13 - 1) * (2 * 3) = 72", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 2 - 1) * 3 = 30", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 24 (left: 24)\nAnswer: (1 * (13 - 2)) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: No solution found.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (2 * 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution possible.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 2 - 3) * 1 = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) - (3 - 1) = 8", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n2 - 1 = 1 (left: 1 10)\n10 * 1 = 24 (left: 24)\nAnswer: (13 - 3) * (2 - 1) = 10", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 24)\nAnswer: 3 * (13 - 2 - 1) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) * (11 - 3) = 8 (not possible to obtain 24)", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nThis combination does not result in 24.", "Steps:\n13 - 3 = 10 (left: 1 2 10)\n10 - 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (13 - 2) * (3 - 1) = 8", "Steps:\n2 * 3 = 6 (left: 1 6 13)\n13 - 6 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nThere is no solution for this input.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 3 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This set of numbers cannot be used to obtain 24.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 1 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: Invalid input, cannot obtain 24 with these numbers.", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 2) * (11 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: None (There is no way to get 24 with these numbers)", "Steps:\n1 + 2 = 3 (left: 3 3 13)\n3 * 3 = 9 (left: 9 13)\n13 + 9 = 24 (left: 24)\nAnswer: (1 + 2) * 3 + 13 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 113625, "prompt_tokens": 37145, "cost": 7.93185}}, {"idx": 949, "ys": ["Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (1 * 6) * (6 / 6) = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6 (Not possible to obtain 24)", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (6 / 6 + 1) * 6 = 12 (24 can't be obtained from these numbers)", "Steps:\n6 * 6 = 36 (left: 1 6 36)\n36 - 6 = 30 (left: 1 30)\n30 - 1 = 29 (left: 29)\n\nNo solution for this input.", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 1 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 0 6)\n6 * 0 = 0 (left: 0)\nAnswer: Invalid Input (cannot obtain 24)", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (6 / 6) * (1 * 6) = 6", "Steps:\n6 / 1 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n36 - 6 = 30 (left: 30)\nAnswer: (6 / 1) * 6 - 6 = 30", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 6) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: ((6 / 6) + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: 6 * 6 = 36", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: No solution found.", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 6 = 7 (left: 1 7)\n7 * 1 = 24 (left: 24)\nAnswer: (6 / 6 + 6) * 1 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (6 / 6 + 1) * 6 = 12", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: No solution", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no solution using these numbers.", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6) * (6 / 6 + 1) = 24", "Steps:\n6 * 6 = 36 (left: 1 6 36)\n36 - 6 = 30 (left: 1 30)\n30 - 1 = 29 (left: 29)\nThere is no possible way to obtain 24 from these numbers.", "Steps:\n6 + 6 = 12 (left: 1 6 12)\n12 - 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (12 - 6)) * 4 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (6 - 1) * 6 - 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (6 / 6 + 1) * 6 = 12", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * 6) * (6 / 6) = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 1 = 24 (left: 24)\nAnswer: (1 * 6) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 1 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * (6 + 6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * 6) * (6 / 6) = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 1 * 1 = 24 (left: 24)\nAnswer: (6 / 6) * 6 * 1 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 6 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 * 6 = 36 (left: 1 6 36)\n36 - 6 = 30 (left: 1 30)\n30 - 1 = 29 (left: 29)\nAnswer: (6 * 6) - 6 - 1 = 29", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (1 * 6) * (6 / 6) = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * 6) * (6 / 6) = 6 * 1 = 24", "Steps:\n6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\nAnswer: This combination of numbers cannot be used to obtain 24.", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 + 6 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 1 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 6) * ((1 * 1) * 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * 6) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (6 / 6) * 6 = 24", "Steps:\n6 / 1 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n36 - 6 = 30 (left: 30)\nAnswer: (6 / 1) * 6 - 6 = 30", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 6 + 1) * 6 = 24", "Steps:\n6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 * 6 = 24 (left: 24)\nAnswer: 6 * (6 + 6 / 1) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\nAnswer: (6 / 6) * 6 = 6", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 1 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 1 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 4 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 1 = 1 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (6 / 6)) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + 6 / 6) * 6 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 + 1 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (1 * 6 / 6) * 12 = 24", "Steps:\n6 / 6 = 1 (left: 1 1 6)\n1 * 6 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: (1 * 6) * (6 / 6) = 6"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 120801, "prompt_tokens": 39330, "cost": 8.427959999999999}}, {"idx": 950, "ys": ["Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to get 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: 1 * (9 - (2 * 2)) = 5", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (1 + 2) * 2 * 9 = 54", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n24 cannot be obtained with these numbers.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n4 * 9 = 36 (left: 1 36)\n36 - 1 = 24 (left: 24)\nAnswer: (2 * 2) * 9 - 1 = 24", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (1 * (9 - 2)) * (7 - 1) = 24", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution with the given numbers.", "Steps:\n1 * 2 = 2 (left: 2 2 9)\n2 * 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nNo possible solution.", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: (9 - 1) * (2 * 2) = 32", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis combination of numbers cannot make 24 using the given rules.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (not possible)\n\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n4 * 20 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (not 24, no solution)\nAnswer: There is no solution for these numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (2 * 2) * (9 - 1) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (9 - 1) * (2 * 2) = 32", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 24 (left: 24)\nAnswer: (9 - 2 * 2) * (1 + 1) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 + 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nUnfortunately, there are no steps using the given numbers that equal 24.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution using these numbers.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) + 2 * 2 = 24", "Steps:\n2 * 9 = 18 (left: 1 2 18)\n18 - 2 = 16 (left: 1 16)\n16 + 1 = 24 (left: 24)\nAnswer: (2 * 9) - 2 + 1 = 24", "Steps:\n2 * 9 = 18 (left: 1 2 18)\n18 + 2 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: The given numbers cannot make 24.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (1 * (9 - (2 * 2))) * 5 = 25", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n7 - 2 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4.8 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) * 4.8 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 5 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNot possible.", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 24 cannot be obtained with these numbers.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no way to obtain 24 with these numbers using only basic arithmetic operations.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no valid solution for this input.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 24 (left: 24)\nAnswer: (9 - (2 * 2)) * 4 = 24", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (1 + 2) * 2 * 9 = 54", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (9 - 2 * 2) * 1 = 5", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Unfortunately, there is no way to obtain 24 using these numbers with the given operations.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nAnswer: It is not possible to obtain 24 with these numbers.", "Steps:\n1 + 9 = 10 (left: 2 2 10)\n2 * 2 = 4 (left: 4 10)\n10 * 4 = 40 (left: 40)\nAnswer: (1 + 9) * (2 * 2) = 40", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n9 * 6 = 54 (left: 54)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n2 * 9 = 18 (left: 1 2 18)\n18 + 1 = 19 (left: 2 19)\n19 + 2 = 24 (left: 24)\nAnswer: (2 * 9) + 1 + 2 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((9 - 2 * 2) * 4) + 4 = 24", "Steps:\n1 * 2 = 2 (left: 2 2 9)\n2 * 9 = 18 (left: 2 18)\n2 + 18 = 24 (left: 24)\nAnswer: (1 * 2) + (2 * 9) = 24", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n2 - 1 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nThis input is not possible to obtain 24.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 4 = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: This combination of numbers cannot reach 24 using the given operations.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 24 (left: 24)\nAnswer: (9 - 2 * 2) * (1 + 4) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 / 2 = 1 (left: 1 1 9)\n1 + 1 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n9 - 1 = 8 (left: 1 8)\n18 + 8 = 24 (left: 24)\nAnswer: ((2 / 2) + 1) * 9 + (9 - 1) = 24", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution found", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 + 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (9 - 2 * 2)) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) * 4 = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nCannot obtain 24 from these numbers.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (9 - 2 * 2) * 1 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 24 (left: 24)\nAnswer: (9 - 2 * 2) * (1 + 1) = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution found.", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (1 + 2) * 2 * 9 = 54", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (9 - 2 * 2) * 1 = 5", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 5 = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (2 * 2) * (9 - 1) = 24", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nAnswer: No solution found.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 2 * 2 * (9 - 4) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 + 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (9 - (2 * 2))) * 4 = 24", "Steps:\n1 * 2 = 2 (left: 2 2 9)\n2 * 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nUnfortunately, there is no way to obtain 24 with this set of numbers using the allowed arithmetic operations.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n6 * 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (9 - 2)) * (7 - 1) = 24", "Steps:\n1 * 2 = 2 (left: 2 2 9)\n2 * 2 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nNo combination of the given numbers using basic arithmetic operations can result in 24.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (1 * (9 - (2 * 2))) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 + 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (9 - (2 * 2))) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n7 * 2 = 14 (left: 1 14)\n14 + 1 = 15 (left: 15)\nAnswer: (9 - 2) * 2 + 1 = 15", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (9 - (2 * 2)) * 1 = 5", "Steps:\n9 - 2 = 7 (left: 1 2 7)\n2 - 1 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - 2 * 2)) * 4 = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((9 - (2 * 2)) * 1) + 4 = 24", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no solution for this input.", "Steps:\n1 + 2 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n\nThis input does not have a solution to obtain 24.", "Steps:\n2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution to obtain 24 from these numbers.", "Steps:\n9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 24)\nAnswer: (9 - 1) * (2 * 2) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 127441, "prompt_tokens": 41515, "cost": 8.89191}}, {"idx": 951, "ys": ["Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 - (11 - 6)) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((11 - 6) - 3) * 12 = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: (11 - 6) * (3 - 1) = 10", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (11 - 6) * (1 * 24) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (3 + 2) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: (11 - 6) * (5 - 3) = 2", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (11 - 6) * (3 - 1) = 10", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 1 6 8)\n6 - 1 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n12 / 2 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: 10 (No solution to make 24)", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (1 + 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: There is no possible solution with these numbers.", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (6 - (3 - 1)) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (1 * (5 - 3)) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (5 - 1)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (6 - (1 + 3)) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 1) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (5 - 1)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 1) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (5 - 1)) * 2 = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 3 = 8 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 1 * (11 - 3) * (8 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 2) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: Invalid input, cannot obtain 24 with given numbers", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (11 - 6)) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (11 - 6 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 3) = 24", "Steps:\n11 - 6 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (11 - 6) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 134677, "prompt_tokens": 43700, "cost": 9.39162}}, {"idx": 952, "ys": ["Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 / 8 = 1.5 (left: 1.5 10)\n1.5 * 16 = 24 (left: 24)\nAnswer: ((13 - 5) / 12) * 16 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (13 - 5) * (12 - 8) = 40", "Steps:\n12 - 10 = 2 (left: 2 5 13)\n13 - 5 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 10) * (13 - 5) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (10 - 5)) - (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (13 - 5) * (12 - 8) = 40", "Steps:\n12 - 5 = 7 (left: 7 10 13)\n13 - 10 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 / 5 = 2 (left: 2 12 13)\n13 - 12 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 / 5) * (13 - 12) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n12 - 10 = 2 (left: 2 5 13)\n13 - 5 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 10) * (13 - 5) = 24", "Steps:\n10 + 5 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\nThere is no solution for this set of numbers.", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n5 * 1 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\n10 - 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 5) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n5 + 10 = 15 (left: 1 15)\n1 * 15 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (13 - 12) * (5 + 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nThere is no possible combination with these numbers to reach 24.", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 / 5 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 / 5) * 24 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nThis input cannot be made to equal 24.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n1 * 5 = 5 (left: 5 10)\n5 * 10 / 2 = 24 (left: 24)\nAnswer: (13 - 12) * 5 * (10 / 2) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 10 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (13 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n1 * 5 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\nAnswer: There is no valid operation to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (13 - 5) * (12 - 8) = 40", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 5 = 24 (left: 24)\nAnswer: (5 + (12 / (13 - 10))) * 4 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 5) + 12 / 3 = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 / 5 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 12) * (10 / 5) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 5) + 12 / 3 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No solution", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: 10 * (12 - (13 - 5)) = 40", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n1 * 10 = 10 (left: 5 10)\n5 * 2 = 10 (left: 10 10)\n10 * 2 = 20 (left: 24)\nAnswer: (13 - 12) * 10 * 2 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 24)\nAnswer: (13 - 12) * (10 - 5) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 / 5 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 / 5) * 24 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 5) + 12 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n5 + 20 = 24 (left: 24)\nAnswer: (5 + (12 / (13 - 10))) * 5 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\n\nUnfortunately, there is no possible solution with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: Cannot obtain 24 from given numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 8) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 5) + 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 5) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n12 - 5 = 7 (left: 7 10 13)\n13 - 10 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: None", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: (13 - 12) * (10 - 5) = 5 (not possible to obtain 24)", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\n\nThere is no way to obtain 24 with the given numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n12 - 10 = 2 (left: 2 5 13)\n5 + 2 = 7 (left: 7 13)\n7 * 13 = 91 (left: 91)\n91 - 67 = 24 (left: 24)\nAnswer: ((12 - 10) + 5) * 13 - 67 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 5) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 5) + 12 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n1 * 10 = 10 (left: 5 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (13 - 12) * 10 + 5 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 5) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n5 + 3 = 8 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 10 + 5) * 2 = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n5 * 4 = 20 (left: 20)\nAnswer: (13 - 10) * (12 / 3) = 20", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (12 / (13 - 10))) + 4 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (not 24, invalid)\n\nThere is no way to obtain 24 with these numbers using basic arithmetic operations.", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 3) + 4 = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 / 5 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 12) * (10 / 5) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (10 - 5)) - (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThere is no possible solution for this input.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: There is no possible operation to obtain 24 with this set of numbers.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (13 - 5) * (12 - 8) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 10 = 24 (left: 24)\nAnswer: (10 * (12 - (13 - 5))) / 10 = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n13 - 12 = 1 (left: 1 5 10)\n10 - 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (10 - 5)) - (13 - 12) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n8 * 2 = 24 (left: 24)\nAnswer: (13 - 5) * (12 - 10) = 24", "Steps:\n12 - 10 = 2 (left: 2 5 13)\n13 - 5 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 10) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: Not possible.", "Steps:\n13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (13 - 5) * (12 - 8) = 40", "Steps:\n12 - 10 = 2 (left: 2 5 13)\n13 - 5 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 10) * (13 - 5) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 141559, "prompt_tokens": 45885, "cost": 9.87009}}, {"idx": 953, "ys": ["Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: No combination that gets 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * (6 / 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * (6 / 3) = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n2 * 3 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n36 - 6 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (2 * 3) * 6 - 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (6 / (2 * (6 / 2))) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nNo solution", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n\nThere is no solution to obtain 24 with the given numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * (6 / 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 / 2\nAnswer: (6 / 2) * 3 * 6 = 54", "Steps:\n2 + 6 = 8 (left: 3 6 8)\n3 * 8 = 24 (left: 6 24)\n24 / 6 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 + 6) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n\nThis problem cannot be solved with the given numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * (3 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 6 * (6 / 2 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 / 2 * 3) * 6 / 3 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (6 + 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 9 (left: 9)\n9 * 6 = 54 (left: 54)\n54 / 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 / 2) * 3 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (not possible)\n\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 6 * (6 / 2) * 3 = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n6 / 2 = 3 (left: 3 3 6)\n3 * 6 = 18 (left: 3 18)\n18 / 3 = 6 (left: 6)\nThere is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 2 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 54 / 2 - 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: 6 * (6 / 2 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution", "Steps:\n6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / 3) * 2 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: ((6 / 2) * 3) * 6 = 36", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * (3 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution using these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((6 / 2) * 3) * 6 - 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * (6 / 3) = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n\nThere is no solution for this set of numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 = 54 (left: 54)\nThere is no way to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * (3 * 3) \u2260 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * 3 * 6 = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 2 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 54 / 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None", "Steps:\n2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (2 + 3) * 6 - 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 = 54 (left: 54)\n\nUnfortunately, it is not possible to obtain 24 with the given numbers and operations.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution", "Steps:\n3 * 2 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n36 / 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (6 / (6 * 6)) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nWe cannot make 24 using these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: 6 * (6 / 2 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n2 * 3 = 6 (left: 6 6 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * 3) * 4 = 24", "Steps:\n6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / 3) * 2 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 9 (left: 9)\n9 * 3 = 27 (left: 3 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 - 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * (3 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (9 * 6 / 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: 6 * (6 / 2 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 / 3 = 18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((6 / 2) * 3) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 / 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 2 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nThis combination of numbers is not possible to obtain 24.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 9 (left: 9)\n9 * 6 = 54 (left: 54)\n54 / 2 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) - 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n3 * 2 = 6 (left: 3 6 6)\n6 * 6 = 36 (left: 3 36)\n36 - 3 = 33 (left: 33)\n6 - 2 = 4 (left: 3 4 6)\n6 / 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n3 * 6 = 18 (left: 2 18)\n18 - 2 = 16 (left: 16)\n6 - 3 = 3 (left: 2 3 6)\n2 * 6 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\nThere is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 = 54 (left: 54)\n54 / 2 = 24 (left: 24)\nAnswer: ((6 / 2) * 3) * 6 / 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * (6 / 3) = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n54 / 6 = 9 (left: 9)\n9 * 6 = 54 (left: 54)\n54 / 2 = 27 (left: 27)\n27 / 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 3 - 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: 6 * (6 / 2) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54\n3 * 6 = 18 (left: 3 18)\n18 / 3 = 6 (left: 6 6)\n6 * 6 = 36\n6 / 6 = 1 (left: 2 3 1)\n1 * 2 = 2 (left: 3 2)\n3 * 2 = 6\nNo valid solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: 6 * (6 / 2 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 = 54 (left: 54)\nThis set of numbers cannot be used to obtain a 24.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nThis combination cannot make 24.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nThis input cannot make 24.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (6 / 2) * 3 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 6 = 18 (left: 3 18)\n18 + 3 = 21 (left: 21)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: 6 * (6 / 2 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nNo possible solution.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (6 / 2) * (3 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (3 * 3) = 24", "Steps:\n3 * 2 = 6 (left: 6 6 6)\n6 / 6 = 1 (left: 1 6)\n1 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (6 / 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: None (unable to obtain 24)", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n24 is not possible with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * 3 * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n6 * 9 = 54\nAnswer: (6 / 2) * (3 * 3) = 54", "Steps:\n6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n9 * 6 / 3 = 18 / 3 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (6 * 6) * (9 * 6 / 3) / 3 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 148655, "prompt_tokens": 48070, "cost": 10.3614}}, {"idx": 954, "ys": ["Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (10 - 7) * (12 - 6) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 / (12 - 10)) * 7 + 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * ((10 - 7) / (12 / 6)) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 + 3 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n7 + 3 = 10 (left: 10 6)\n10 * 6 = 60 (left: 60)\n60 / 2 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (12 - 10) * 7 + 6 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for 6 7 10 12", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (12 - 7) + 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (7 - (10 - 6)) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: (12 / 6) * (10 - 7) = 6\nUnfortunately, it is not possible to obtain 24 with the given numbers 6, 7, 10, and 12.", "Steps:\n7 - 6 = 1 (left: 1 10 12)\n12 / 1 = 12 (left: 10 12)\n10 + 12 = 24 (left: 24)\nAnswer: (7 - 6) * (12 / 1) + 10 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (10 - 7) = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n24 - 19 = 5 (left: 5)\nAnswer: 24 - ((12 - 10) * 6 - 7) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n3 * 6 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (6 * (10 - 7)) + 6 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 * 7 = 42 (left: 2 42)\n42 / 2 = 21 (left: 24)\nAnswer: (12 - 10) * (6 * 7) / 2 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no possible solution for this input.", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * 4 * (10 - 7) = 24", "Steps:\n6 * 4 = 24 (left: 7 10 24)\n10 - 7 = 3 (left: 3 24)\n24 * 3 = 72 (left: 72)\nAnswer: 6 * 4 * (10 - 7) = 72", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n7 - 3 = 4 (left: 4 12)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (7 - 12 / 4) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 6 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 7 * (10 - (12 - 6)) = 28", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n19 + 5 = 24 (left: 24)\nAnswer: (6 * (12 - 10)) + 7 = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: ((12 - 10) * 6) + 3 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\nAnswer: (12 - 10) * 6 + 7 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 / (12 - 10)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (12 - 7) + 4 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n7 - 2 = 5 (left: 5 10)\n5 * 10 / 2 = 24 (left: 24)\nAnswer: (7 - 12 / 6) * 10 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (6 - (12 - 10)) * 7 = 28", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot form 24 using the given operations.", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 7) * (12 / 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n6 * 3 = 24 (left: 24)\nAnswer: 6 * (10 - 7) = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 * (10 - 7)) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: 7 * (12 / (10 - 6)) + 3 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (6 * (12 / 6) - (10 - 7)) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (7 * (12 / (10 - 6))) + 3 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (10 - 7)) * 12 = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n7 - 2 = 5 (left: 5 10)\n5 * 4 = 24 (left: 24)\nAnswer: (7 - 12 / 6) * 10 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (10 - 6) * (12 - 7) + 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n7 + 6 = 13 (left: 10 12 13)\n13 - 10 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (7 + 6 - 10) * 12 = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (12 / 6) * (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (12 / (10 - 7)) = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 7) * (12 / 3) = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n6 * 3 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 / (12 - 10)) * 7 + 3 = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / 6) * (10 - 7) * 4 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (10 - 6) * (12 - 7) = 20", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (10 - 7)) * 12 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 - 10) * (12 / 4) + 3 = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 * 2 = 12 (left: 7 12)\n12 * 7 / 3 = 24 (left: 24)\nAnswer: (12 - 10) * 6 * 7 / 3 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n7 - 6 = 1 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) + 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * 4) * (10 - 7) = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (10 - 7) * (12 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no way to obtain 24 with the given numbers.", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThis input is not possible to obtain 24.", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: There is no solution for this set of numbers.", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 / (10 - 6)) * 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (10 - 7)) * 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 6 3)\n6 * 3 = 24 (left: 24)\nAnswer: (12 - 6) * (10 - 7) = 24", "Steps:\n12 - 10 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 10) * (7 - 6) = 24", "Steps:\n12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (10 - 7) * (12 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (10 - 6) * 3 + 7 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 155748, "prompt_tokens": 50255, "cost": 10.85253}}, {"idx": 955, "ys": ["Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 / 8 = 1.5 (left: 1.5 7 8)\n8 - 7 = 1 (left: 1 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / 8) * (8 - 7) * 16 = 24", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - (12 - 7)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n96 / 4 = 24 (left: 24)\nAnswer: (8 - 7) * 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n8 * 12 / 4 = 24 (left: 24)\nAnswer: (8 - 7) * 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (12 - 8) * 7 - (8 - 4) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (8 - (8 - 5)) = 24", "Steps:\n12 / 8 = 1.5 (left: 1.5 7 8)\n8 - 7 = 1 (left: 1 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / 8) * (8 - 7) * 16 = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / (8 - 7)) * 8 = 24", "Steps:\n8 / 8 = 1 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (7 + 12 - 8 / 8) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution for this input.", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 / 8 = 1 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 / 8 = 1.5 (left: 1.5 7 8)\n8 - 7 = 1 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\nAnswer: No solution found", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - (12 - 7)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n1 * 12 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 7) * 12 * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (7 * (12 - 8)) - 8 = 24", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - (12 - 7)) * 8 = 24", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (8 - (12 - 7)) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 7 * (8 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / (8 - 7)) * 2 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (12 - 8) * 7 - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (8 - (12 - 8))) - 4 = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: ((8 - 7) * (12 / 8)) * 16 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n7 * 4 = 28 (left: 28)\nAnswer: (7 * (8 - (12 - 8))) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n1 * 12 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 7) * 12 * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (7 * (12 - 8)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n7 * 8 = 56 (left: 8 12 56)\n56 / 8 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: Not possible", "Steps:\n7 + 8 = 15 (left: 8 12 15)\n15 - 12 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 8) * (15 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n28 - 8 = 24 (left: 24)\nAnswer: (12 - 8) * 7 - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 / 8 = 1.5 (left: 1.5 7 8)\n8 - 7 = 1 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\nNo solution found.", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 7) * 12 = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: (8 - 7) * 16 = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 - 8 = 4 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (8 - 7) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n7 + 8 = 15 (left: 8 12 15)\n15 - 8 = 7 (left: 7 12)\n7 * 12 = 24 (left: 24)\nAnswer: (7 + 8) * (15 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n96 / 4 = 24 (left: 24)\nAnswer: (8 - 7) * 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 * 4 = 28 (left: 8 28)\n28 - 8 = 20 (left: 20)\nAnswer: (7 * (12 - 8)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 - 8 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n8 - 1 = 7 (left: 7 12)\n7 * 12 = 84 / 3.5 (left: 24)\nAnswer: (8 - 7) * (12 - 1) = 24", "Steps:\n12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - (12 - 7)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 28", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 8 = 1.5 (left: 1 1.5)\n1 * 1.5 = 1.5 (left: 1.5)\n1.5 * 16 = 24 (left: 24)\nAnswer: (8 - 7) * (12 / 8) * 16 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (12 - 8)) * 8 = 24", "Steps:\n8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n8 * 12 = 24 (left: 24)\nAnswer: (8 - 7) * 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24", "Steps:\n12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 7) = 24"], "infos": [{"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 162389, "prompt_tokens": 52440, "cost": 11.31654}}, {"idx": 956, "ys": ["Steps:\n6 - 4 = 2 (left: 3 2 8)\n3 * 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: 3 * (6 - 4) * 8 = 24", "Steps:\n6 * 4 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (6 * 4) * (8 - 3) = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n6 + 8 = 14 (left: 12 14)\n12 + 14 = 24 (left: 24)\nAnswer: (3 * 4) + (6 + 8) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * ((8 - 3)/5) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no way to obtain 24 from these numbers using only basic arithmetic operations.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: Not possible with the given numbers", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Cannot achieve 24 with given numbers", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n6 * 2 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * 4) + (6 * 2) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 4) * (6 / 3) * 3 = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nIn this case, it is not possible to obtain 24 using the given numbers and basic arithmetic operations.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: 6 / 3 * 4 * 8 = 64", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 24)\n6 - 8 = -2 (left: -2 24)\n-2 + 24 = 24 (left: 24)\nAnswer: (3 * 4) + (6 - 8) = 24", "Steps:\n8 - 4 = 4 (left: 3 4 6)\n4 * 3 = 12 (left: 6 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 4) * 3 * (6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Invalid Input (cannot obtain 24 with given numbers)", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 24)\n6 - 8 = -2 (left: -2 24)\nAnswer: (3 * 4) * (6 - 8) = 24", "Steps:\n4 * 3 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 6 8)\n6 - 8 = -2 (left: -2 12)\n-2 * 12 = 24 (left: 24)\nAnswer: (3 * 4) * (6 - 8) = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n6 + 8 = 14 (left: 12 14)\n14 - 12 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 4) * (6 + 8 - 12) = 24", "Steps:\n6 - 4 = 2 (left: 3 2 8)\n3 * 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (3 * (6 - 4)) * 8 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * (8 - 4) * 3 = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 24)\n6 - 8 = -2 (left: -2 24)\n-2 + 24 = 24 (left: 24)\nAnswer: (3 * 4) * (6 - 8) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nIn this case, it is not possible to achieve a result of 24 using the given numbers and arithmetic operations.", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * 8) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThis set of numbers cannot be used to obtain 24 using the given rules.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * (8 - 6)) * 4 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (3 4 6 8) doesn't have a solution for 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n8 - 4 = 4 (left: 3 4 6)\n4 * 6 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 4) * 6 / 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (6 / 3) * (4 * 2) = 64", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 3) * (8 - 4) = 8\nNote: There is no way to obtain 24 with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nNo solution", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: (4 * 6) * (8 - 3) = 120", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: (4 * 6) * (8 - 3) = 120", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nAnswer: There is no solution for this input.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: (4 * 6) * (8 - 3) = 120", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 8 24)\n8 - 6 = 2 (left: 2 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 8 = 24", "Steps:\n6 - 4 = 2 (left: 2 3 8)\n3 * 8 = 24 (left: 2 24)\n2 * 24 / 2 = 24 (left: 24)\nAnswer: (6 - 4) * (3 * 8) / 2 = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 3) * (12 - 8) = 24", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n3 * 4 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (8 - 6) * (3 * 4) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: None", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n6 + 8 = 14 (left: 3 4 14)\n14 - 4 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (3 * (14 - 4)) * 6 + 8 = 30", "Steps:\n4 * 3 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 6 8)\n6 + 8 = 14 (left: 14)\n24 / 14 = 24 (left: 24)\nAnswer: (4 * 3) * (6 + 8) = 24", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * (4 - (8 - 6))) * 4 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n6 + 8 = 14 (left: 12 14)\n12 + 14 = 26 (left: 26)\nThere is no solution for this set of numbers.", "Steps:\n4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 3) * (6 - 8) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this case.", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 6 8)\n6 + 8 = 14 (left: 14)\n14 * 1 = 24 (left: 24)\nAnswer: 3 * 4 * (6 + 8 / 8) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: There is no solution for this input.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (6 / 3) * 4 * 8 = 64", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) / 5 = 24", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) / 5 = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n3 - 2 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (3 - 2)) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 / 5 = 24 (left: 24)\nAnswer: (4 * 6) / (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n3 + 8 = 11 (left: 11 24)\n24 * 11 = 264 (not valid)\n\nAnswer: There is no solution for this input.", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 6 8)\n6 + 8 = 14 (left: 14)\n14 + 24 = 24 (left: 24)\nAnswer: (3 * 4) * (6 + 8) = 24", "Steps:\n8 / 4 = 2 (left: 3 6 2)\n3 * 6 = 18 (left: 18 2)\n18 + 2 = 20 (left: 20)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120)\nAnswer: (4 * 6) * (8 - 3) = 120", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * ((8 - 3) / 5) = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 8 24)\n8 - 6 = 2 (left: 2 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) / 5 = 24", "Steps:\n4 * 3 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 8 24)\n8 - 6 = 2 (left: 2 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 3) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no possible solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * (8 - 4) * 3 = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nThis combination is not possible to get 24.", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 120 (left: 120) [does not equal 24]\n\nThis set of numbers cannot be used to obtain 24 using the given rules.", "Steps:\n6 - 3 = 3 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 2 = 8 (left: 8)\nAnswer: (6 / 3) * (8 - 4) = 8", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - 6 / 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 / 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) / 5 = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 8 24)\n8 - 6 = 2 (left: 2 24)\n24 * 1 = 24 (left: 24)\nAnswer: (3 * 4) * (8 - 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 - 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: There is no solution for this input.", "Steps:\n8 - 6 = 2 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n3 * 2 * 2 = 24 (left: 24)\nAnswer: 3 * (4 - (8 - 6)) * 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 8 = 32 (left: 2 32)\n32 - 2 = 30 (left: 30)\nAnswer: (6 / 3) * (4 * 8) = 30", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Invalid input, no solution found", "Steps:\n8 - 6 = 2 (left: 3 4 2)\n4 - 3 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (8 - 6) * (4 - 3) * 12 = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n6 * 8 = 48 (left: 12 48)\n48 / 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 4) * (6 * 8 / (3 * 4)) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n3 + 8 = 11 (left: 11 24)\n24 * 11 = 24 (left: 24)\nAnswer: (4 * 6) * (3 + 8) = 24", "Steps:\n3 * 4 = 12 (left: 6 8 12)\n12 * 2 = 24 (left: 24)\n6 / 3 = 2 (left: 2 12)\nAnswer: (3 * 4) * (6 / 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n4 * 6 = 24 (left: 3 8 24)\n8 - 3 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (4 * 6) * (8 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for 3 4 6 8 to obtain 24."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 169031, "prompt_tokens": 54625, "cost": 11.78061}}, {"idx": 957, "ys": ["Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 7) * (9 - 1) = 32\nUnfortunately, there is no solution for this input to obtain 24 using the given rules.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 1 - 7) * 9 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (9 - (11 - 7))) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 10 (left: 10)\n24 cannot be obtained with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 24)\nAnswer: (1 + (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\n\nAnswer: There is no possible way to obtain 24 with the given numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 20", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 10 (left: 10)\nNo solution found.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 4) = 24 (left: 24)\nAnswer: 5 * (1 + (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) + 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) - 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 24 (left: 24)\nAnswer: (1 + (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 7) * 1 * 9 = 36", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 9 = 2 (left: 1 7 2)\n1 + 7 = 8 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (11 - 9) * (1 + 7) = 24", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 1) * (7 + 9 - 10) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: No solution found", "Steps:\n11 - 9 = 2 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 9) * (7 - 1) = 12", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 + 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + 5) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) + (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 1 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) + 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n11 - 9 = 2 (left: 1 7 2)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 9) * (7 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nAnswer: There is no solution for this input.", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n9 - 7 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (9 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no solution for this input.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) + (11 - 7) = 24", "Steps:\n11 - 9 = 2 (left: 1 7 2)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 9) * (7 - 1) = 12", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n1 + 20 = 24 (left: 24)\nAnswer: (1 + (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nThere is no solution with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 20", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 24 (left: 24)\nAnswer: (11 - 7) * (9 - (11 - 7)) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (11 - 1) * (10 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: None", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n9 - 7 = 2 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (11 - 1) * (9 - 7) = 20", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 + 1 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) - 1 = 24", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 1) * (10 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n11 - 9 = 2 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 4) = 24 (left: 24)\nAnswer: (9 - (11 - 7)) * (1 + 4) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 24 (left: 24)\nAnswer: (9 - (11 - 7)) * (1 + 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo answer", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo solution", "Steps:\n11 - 9 = 2 (left: 1 7 2)\n7 - 2 = 5 (left: 1 5)\n5 * (11 - 9) = 24 (left: 24)\nAnswer: (7 - (11 - 9)) * 5 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 4) = 24 (left: 24)\nAnswer: 5 * (1 + (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 20 1)\n20 + 1 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - (11 - 7)) + 1 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution for this input.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 4) = 24 (left: 24)\nAnswer: 5 * (11 - 7) * (9 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4.8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - (11 - 7)) * 4.8 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 5 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * (1 + 1) = 24 (left: 24)\nAnswer: 5 * (9 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (11 - 1) - 7) * 9 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 5 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 * 5 = 5 (left: 5)\nThere is no possible way to obtain 24 using these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution found.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis input cannot form the number 24 using the given rules.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis input cannot create 24.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 4 = 20 (left: 1 20)\n20 + 1 = 21 (left: 21)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: (1 * (9 - (11 - 7))) * 4 = 20", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n9 - 7 = 2 (left: 2 10)\n2 * 10 = 24 (left: 24)\nAnswer: (11 - 1) * (9 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nThere is no valid solution for this input.", "Steps:\n11 - 1 = 10 (left: 7 9 10)\n10 - 9 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nNo possible solution for this input.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((9 - (11 - 7)) * 1) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (9 - (11 - 7))) + 4 = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo solution", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (11 - 7) * 1 * 9 = 36", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo combination produces 24.", "Steps:\n11 - 9 = 2 (left: 1 2 7)\n7 - 1 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n1 + 9 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3)\n3 * 5 = 15 (left: 15)\nAnswer: (1 + 9) * (11 - 7) = 15", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (9 - 1) = 24", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no solution for this input.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nNo possible solution.", "Steps:\n11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\n4 * 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 7) * (9 - 4)) + 4 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 176151, "prompt_tokens": 56810, "cost": 12.27336}}, {"idx": 958, "ys": ["Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot make 24 using basic arithmetic operations.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n14 + 3 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: ((13 - 6) * 2) + 3 = 24", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot form 24 using the given rules.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 3) * (13 - (6 + 2)) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * 3 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: There is no possible combination to obtain 24 with these numbers.", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 3 = 18 (left: 18)\n18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (13 - 6 + 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 3 = 21 (left: 21 1)\n21 + 1 = 24 (left: 24)\nAnswer: (13 - 6) * (3 - 2) + 1 = 24", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n2 * 6 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\nNo possible solution.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this set of numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * 3 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot create 24.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n2 * 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (2 * 3) * (13 - 6) = 42", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (7 - 2)) + (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no way to obtain 24 from these input numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 * 3 = 21 (left: 2 21)\n21 + 2 = 24 (left: 24)\nAnswer: (13 - 6) * 3 + 2 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: Invalid (no solution found)", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nThis input does not have a solution to obtain 24.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 3 3 13)\n13 - 3 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (6 / 2) * (13 - 3) = 30", "Steps:\n6 / 2 = 3 (left: 3 3 13)\n13 - 3 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (6 / 2) * (13 - 3) = 30", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n2 * 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n\nUnfortunately, there is no way to obtain 24 using these numbers and the given operations.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nNo solution.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 * 7 = 21 (left: 2 21)\n21 + 2 = 24 (left: 24)\nAnswer: (13 - 6) * 3 + 2 = 24", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot be used to obtain 24 using the given operations.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((13 - 6) - 3) * 2 * 3 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: No solution", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n2 * 3 = 6 (left: 6 6 13)\n6 * 6 = 36 (left: 13 36)\n36 - 13 = 23 (left: 23)\nNo solution for this case.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis input does not have a solution to obtain 24.", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no valid combination for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * 3 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution for these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Cannot form 24 using the numbers 2, 3, 6, and 13.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 2 * (7 - 3) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n2 * 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (2 * 3) * (13 - 6) = 42", "Steps:\n2 * 3 = 6 (left: 6 6 13)\n6 * 6 = 36 (left: 13 36)\n36 - 13 = 23 (left: 23)\nNo possible way to obtain 24.", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: No solution", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Cannot form 24 with the given numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nNo solution found.", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 3 13)\n3 * 3 = 9 (left: 9 13)\n13 - 9 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / 2) * (13 - 3 * 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 * 7 = 21 (left: 2 21)\n21 + 2 = 24 (left: 24)\nAnswer: (13 - 6) * 3 + 2 = 24", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: The given numbers cannot be combined to obtain 24.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n14 * 3 = 42 (left: 42)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((13 - 6) - 2) * 3 + 6 = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 8", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: The given numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (11 - 6)) + (13 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution using these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n2 * (13 - 6) * (7 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 6 = 24 (left: 24)\nAnswer: 2 * (7 - 3) * (13 - 6) = 24", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (2 * 3) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (13 - 2) * (11 - 3) = 48", "Steps:\n13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible", "Steps:\n13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 6) * (7 - 3) = 24", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)", "Steps:\n13 - 6 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 182389, "prompt_tokens": 58995, "cost": 12.71319}}, {"idx": 959, "ys": ["Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 24)\nAnswer: (2 * 2) * (12 - 5) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 + 5 = 17 (left: 17)\n17 + 5 = 24 (left: 24)\nAnswer: (12 / 2 * 2) + 5 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 7 = 14 (left: 2 14)\n14 + 2 = 16 (left: 16)\nAnswer: (12 - 5) * 2 + 2 = 24", "Steps:\n5 * 2 = 10 (left: 2 10 12)\n10 + 2 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (5 * 2 + 2) * (12 / 12) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 - 4 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (2 * 2) * (5 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (5 - 2) * (12 / 2) = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: (12 / 2) * 2 * 5 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 * 4 = 20 (left: 20 12)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 + 5 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (12 / 2) * 2 + (5 + 7) = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n12 - 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (2 * (12 - (5 - 2))) + 6 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 2) * (10 - 5) = 10 * 5 = 50\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: (12 / 2) * 2 * 5 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 + 4 = 9 (left: 9 12)\n9 * (12 / 9) = 24 (left: 24)\nAnswer: (2 * 2 + 5) * (12 / 9) = 24", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (5 - 2) * (12 / 2) = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (12 - 2) * (10 - 5) = 20", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 - 5)) * 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 + 15 = 24 (left: 24)\nAnswer: 5 + (12 / 2) / 2 * 5 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n7 * 2 = 14 (left: 2 14)\n14 + 2 = 24 (left: 24)\nAnswer: 2 * (12 - 5) + 2 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 - 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * 2) * (12 / (5 - 3)) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 / 2) * (6 - 2) = 20", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (5 - 2) * (12 / 2) = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / 2 / 2) * 5 + 9 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (5 - 2) * (12 / 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (2 * 2) * (12 - 4) = 40", "Steps:\n2 + 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n7 - 2 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (12 - 5) * (7 - 2) = 10\nIt is not possible to obtain 24 with these numbers.", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (5 - 2)) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n6 * 3 = 24 (left: 24)\nAnswer: (12 / 2) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: (12 / 2) * 2 * (5 / 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\nSolution not found.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n3 * 2 = 6 (left: 6 12)\n6 * 12 = 72 (left: 72)\nAnswer: (5 - 2) * 2 * 12 = 72", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 + 10 = 24 (left: 24)\nAnswer: (12 / 2) + (2 * 5) = 24", "Steps:\n5 * 2 = 10 (left: 2 10 12)\n12 - 10 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: Not possible to obtain 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 / 2) * (6 - 2) = 20", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\nAnswer: (12 / 2) * 2 * 5 = 60", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 5) * (2 * 2) = 28", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 24)\nAnswer: 4 * (12 - 5) = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (2 * (12 - 2)) * (10 - 5) = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Cannot form 24 with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 + 4 = 9 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (2 * 2 + 5) + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 + 2 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (5 + 2) = 42", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n24 * 2.5 = 60 (left: 24)\nAnswer: (12 / 2) * (6 * 2) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 + 5 = 17 (left: 17)\nAnswer: Not possible", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 5) * (2 + 2) = 28", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: There is no solution with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 + 4 = 9 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (2 * 2 + 5) + 12 = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: None", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n3 * 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (5 - 2) * (3 * 2) = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 + 2) * (12 - 5) = 28", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n12 - 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo possible solution.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n5 * 4 = 20 (left: 20 12)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (12 - 5) * (2 + 2) = 28", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 + 5 = 17 (left: 17)\nAnswer: There is no solution with these numbers.", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 + 5 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (12 / 2) * 2 + 5 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (2 * 2) * (12 - 5) = 28", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (12 / 2) * (6 - 2) = 20", "Steps:\n2 + 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 + 2) * 5 + 12 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 7 = 14 (left: 2 14)\n14 + 2 = 16 (left: 24)\nAnswer: (2 * (12 - 5)) + 2 = 24", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / (6 - 5)) = 24", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\nAnswer: There is no valid solution with these numbers.", "Steps:\n5 - 2 = 3 (left: 2 3 12)\n3 * 2 = 6 (left: 6 12)\n12 * 6 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: ((5 - 2) * 2) * 12 / 3 = 24", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 2) * 5 + 12 = 24", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n7 - 2 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: (2 * (7 - 2)) = 10", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible to obtain 24.", "Steps:\n12 - 2 = 10 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no possible solution.", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 * 2 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: (12 / 2) * 2 * 5 / 2.5 = 24", "Steps:\n2 + 2 = 4 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: None", "Steps:\n12 - 5 = 7 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 2 * 2 * (12 - 5) = 28", "Steps:\n12 / 2 = 6 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (12 / 2 - 5) * 2 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 188981, "prompt_tokens": 61180, "cost": 13.174259999999999}}, {"idx": 960, "ys": ["Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (13 - 8) * (6 - 2) = 20", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no possible solution.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - (13 - 6)) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n\nThere is no possible way to obtain 24 with the given numbers.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (13 - 2 - 6) * 8 = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: This combination of numbers does not result in 24.", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nThere is no solution with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 7) * 2 = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Cannot obtain 24 from input numbers", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (13 - 2) * (11 - 6) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: There is no way to obtain 24 using these numbers and the given operations.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n8 * 5 = 40 (left: 40)\n\nNo solution", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n10 + 6 = 16 (left: 16)\n16 * (2 / 2) = 24 (left: 24)\nAnswer: (13 - 8) * 2 + 6 = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (8 - 7) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n8 - 6 = 2 (left: 2 11)\n2 * 11 = 22 (left: 22)\nAnswer: No solution found", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - (13 - 6)) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n6 + 10 = 24 (left: 24)\nAnswer: (13 - 8) * 2 + 6 = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (13 - 8) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution found.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 6) * (8 - 7) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\nThere is no possible solution to get 24 using these numbers.", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n5 * 2 = 10 (left: 6 10)\n10 * 6 / 10 = 24 (left: 24)\nAnswer: (2 * (13 - 8)) * 6 / 10 = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\nNo solution found.", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (13 - 2) * (11 - 6) = 40", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 5 = 1 (left: 2 1)\n2 * 1 = 2 (left: 2)\nAnswer: There is no solution for this input.", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - (13 - 6)) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (13 - 6)) * (8 - 7) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (2 * (6 - (13 - 8))) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n6 + 8 = 14 (left: 2 14)\n14 + 2 = 16 (left: 16)\n15 + 16 = 31 (left: 31)\nNo solution found.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (13 - 6) * (8 - 2) = 42", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (13 - 6) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (13 - 6) * (8 - 2) = 42", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (6 / 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n14 + 8 = 22 (left: 22)\nAnswer: There is no solution for this input.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n14 + 8 = 22 (left: 22)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - (13 - 6)) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: None", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (13 - 8) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (13 - 8) * (6 - 2) != 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 8) * (6 / 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (13 - 6) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n5 * 6 = 30 (left: 2 30)\n30 / 2 = 15 (left: 15)\n2 * 6 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6) * (13 - 8) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 6) * (8 - 2) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (13 - 2) * (11 - 6) = 40", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 5 = 1 (left: 2 1)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (6 - 5) * 2 = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (13 - 8) * (6 - 2) = 20", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (6 - (13 - 8)) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n2 * 6 = 12 (left: 5 12)\n5 + 12 = 24 (left: 24)\nAnswer: (13 - 8) + (2 * 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n14 + 8 = 22 (left: 22)\nThis combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (8 - (13 - 6))) = 24", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (13 - 8) * (6 - 2) = 20", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nNo solution can be found for this input.", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 - (13 - 8))) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (13 - 2) * (11 - 6) = 40", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 / 2 = 3 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: (13 - 8) * (6 / 2) = 15", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 2 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution in this case.", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: 8 * (13 - 2 - 6) = 24", "Steps:\n13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 8 = 5 (left: 2 6 5)\n6 - 5 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (13 - 8)) * (6 - 5) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - 2) * (13 - 6) = 24", "Steps:\n13 - 6 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (8 - (13 - 6)) = 24", "Steps:\n13 - 8 = 5 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (13 - 8) * (6 / 2) = 15"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 195410, "prompt_tokens": 63365, "cost": 13.625549999999999}}, {"idx": 961, "ys": ["Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nThere is no solution to obtain 24 with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 8 = 32 (left: 10 32)\n32 - 10 = 22 (left: 22)\nAnswer: (12 - 8) * 8 - 10 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (8 / (12 - 10)) * 8 = 32", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 8 6)\n8 * 6 = 48 (left: 48)\nAnswer: (8 * 6) * (10 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 8) * ((12 - 8) * 3) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Invalid input, cannot obtain 24 with the given numbers.", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 8) * (12 - 8) * 3 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (10 - 8) * 8 + 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 8) * (10 - 4) = 24", "Steps:\n8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 + 8 - 10) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: None", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (8 - (12 - 10)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (12 / (10 - 8)) * 8 = 48", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (8 - (10 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (12 - 10) * (8 / 2) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 1 = 24 (left: 24)\nAnswer: (10 - 8) * (12 - 8) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (8 * (12 / (10 - 8))) = 48", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 8 = 32 (left: 10 32)\n32 - 10 = 24 (left: 24)\nAnswer: (12 - 8) * 8 - 10 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (12 - 10)) * (8 - 2) = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 - 10) * (8 / 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (8 * (12 - 8) - (10 - 8)) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n2 * 8 = 16 (left: 8 16)\n16 + 8 = 24 (left: 24)\nAnswer: (12 - 10) * 8 + 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 * 3) * (10 - (12 - 8)) = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (12 - 10)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 8) * (10 - 4) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 8) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (8 * (10 - (12 - 8))) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 10 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 8 = 24 (left: 24)\nAnswer: (8 * 8) * (10 - (12 - 8)) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (10 - 8) * (12 - 8) = 8", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 8 = 32 (left: 10 32)\n32 - 10 = 24 (left: 24)\nAnswer: (12 - 8) * 8 - 10 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (12 / (10 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (12 - 10)) * (8 - 2) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 10 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 4 = 24 (left: 24)\nAnswer: (12 - 8) * 10 / 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 4 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 8 * (12 - 10) = 32", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 + 8 = 18 (left: 8 12 18)\n18 - 12 = 6 (left: 8 6)\n8 * 6 = 48 (left: 48)\nAnswer: (10 + 8) * (18 - 12) = 48", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 8 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: No solution", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: 4 * (8 - (12 - 10)) = 32", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * 4 = 24", "Steps:\n8 / 8 = 1 (left: 1 10 12)\n10 - 1 = 9 (left: 9 12)\n9 * 12 = 24 (left: 24)\nAnswer: (8 / 8) * (10 - 1) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 8) * (10 - (12 - 8)) = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (12 - 10)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n4 * 8 = 32 (left: 10 32)\n32 - 10 = 24 (left: 24)\nAnswer: (12 - 8) * 8 - 10 = 24", "Steps:\n12 - 10 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 8 * (12 - 10) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * (12 / 2) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (8 - (10 - 8)) = 24", "Steps:\n8 + 8 = 16 (left: 10 12 16)\n16 - 12 = 4 (left: 4 10)\n4 * 10 = 24 (left: 24)\nAnswer: (8 + 8) * (10 - 12) = 24", "Steps:\n8 * 8 = 64 (left: 10 12 64)\n64 / 10 = 6.4 (left: 6.4 12)\n6.4 * 12 = 24 (left: 24)\nAnswer: (8 * 8 / 10) * 12 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (12 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 24)\nAnswer: (10 - 8) * (12 / 2) = 24", "Steps:\n12 - 8 = 4 (left: 4 8 10)\n10 - 8 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (10 - 8) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 - (10 - 8)) * 4 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 - 8 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 * (12 - 8) - (10 - 8)) = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n10 - 8 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (10 - 8)) * 8 = 24", "Steps:\n8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (8 + 8 - 10) * 4 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 201942, "prompt_tokens": 65550, "cost": 14.08302}}, {"idx": 962, "ys": ["Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 12) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (5 - 1)) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 2) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: Incorrect, it is not possible to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2 24)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 1 8 10)\n10 - 1 = 9 (left: 8 9)\n8 * 9 = 72 / 3 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 1) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 1) * (3/2) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (13 - 8) * (3 - 1) * 2.4 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nUnfortunately, there is no solution in this case.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (13 - 1) * (12 - 8) = 12\nThis combination cannot form 24.", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) + 1 = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 1) * (12 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 8 - 1) * 3 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8) - 3) * 2 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (3 - 1) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 8 - 1) * 3 * 2 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) + 1 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (13 - 8 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (13 - 8) - 3 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: None", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: 1 * (5 - (13 - 8)) = 2", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * 12) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 - (13 - 8)) * 3 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 2, not 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n3 - 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (13 - 8) * (3 - 1) * 2.4 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (1 + (13 - 8)) * 3 = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (13 - 1) / 3 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (5 - 1)) * 2 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 8 - 1) * 3 * 2 = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (13 - 1) / 3 * 8 = 32", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * ((13 - 8) - 3)) = 24", "Steps:\n13 - 3 = 10 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (13 - 3)) * (10 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (5 - 3)) * (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 3 = 10 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 3)) * (10 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n24 / 12 = 2 (left: 2)\nAnswer: (1 * 3 * 8) / (13 - 8) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (13 - 8)) * (5 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n1 * 24 = 24 (left: 24)\nAnswer: (1 * 24) * (13 - 8 - 3) = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (13 - 1) / 3 * 8 = 24", "Steps:\n13 - 8 = 5 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 8) * (5 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 209046, "prompt_tokens": 67735, "cost": 14.57481}}, {"idx": 963, "ys": ["Steps:\n7 - 4 = 3 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 * 2 = 24 (left: 24)\nAnswer: (7 - 4) * 4 * (10 / 5) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: This combination cannot form 24.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (4 * (10 - 7)) * 4 / 2 = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n3 * 4 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: (4 * 4) * (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 - 3 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (4 - (10 - 7)) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (10 - 7)) * 2 = 24", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot be used to obtain 24 through any combination of arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (10 - 7)) * 2 = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (10 - 7) * (4 * 4) = 48", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: Not possible to obtain 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 * 2 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 - 3 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (4 - (10 - 7)) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 / 3 = 4/3 (left: 4/3 4)\n4 * 4/3 = 16/3 (left: 16/3)\n\nThere is no solution to obtain 24 using these numbers.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: 4 * (10 - 7) * 4 = 48", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: (10 - 7) + (4 * 4) = 19", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 24)\nAnswer: 4 * (4 * (10 - 7)) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: 4 * (10 - 7) * 4 = 48", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (10 - 4) * (7 - 4) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Cannot obtain 24 with these numbers", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 8 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: cannot make 24 from the given numbers.", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n10 - 7 = 3 (left: 3 16)\n3 * 16 = 24 (left: 24)\nAnswer: (10 - 7) * (4 * 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: (10 - 7) * (4 * 4) = 48", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (4 * 4) * (7 - (10 - 6)) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 4) * (10 - 3) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n3 * 4 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nIn this case, it's not possible to get 24 with the given numbers using basic arithmetic operations.", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n7 + 4 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 / 7 = 24 (left: 24)\nAnswer: (7 + 4) * 10 / (11 - 4) = 24", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination does not result in 24.", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: (4 * (10 - 7)) * 4 = 48", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nAnswer: The given numbers cannot be used to obtain 24 using only basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n3 * 4 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 7) * 4 * (4 / 2) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n3 * 16 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\n\nAnswer: There is no possible solution to obtain 24 from these numbers.", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (10 - 7)) * (4) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no possible solution using these numbers.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 10 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 / 3 = 1.333 (left: 1.333 4)\n1.333 * 4 = 5.332 (left: 5.332)\n\nThere is no solution for this input.", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 / 2 = 24 (left: 24)\nAnswer: 4 * (4 * (10 - 7)) = 24", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (10 - (7 - 4)) = 28", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (4 * 4) * 7 - 10 = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (10 - 7) * (4 * 4) = 24", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nThis input does not have a valid solution.", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This input cannot form 24 using the given operations.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: Invalid input", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 7) * 4 * 2 = 24", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 + 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n7 + 4 = 11 (left: 4 10 11)\n11 - 10 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (7 + 4 - 10) * 4 = 24", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 / 3 = 8/3 (left: 8/3 4)\n8/3 * 4 = 24 (left: 24)\nAnswer: (4 * (10 - 7)) * (4 / 3) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\n\nNo solution can be found for this input.", "Steps:\n7 + 4 = 11 (left: 4 10 11)\n10 - 4 = 6 (left: 6 11)\n6 * 11 = 66 (left: 66)\nNot possible to obtain 24 with these numbers.", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this set of numbers.", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (7 - 4) * (10 - 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: (4 * (10 - 7)) * 4 = 48", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n6 * 4 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (10 - 4) * 4 = 24", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: No valid solution", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot be used to obtain 24 using the given rules.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nUnfortunately, there is no solution for this input set.", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (4 * (10 - (7 - 4))) = 28", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\nNo valid solution found.", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nNo solution", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination cannot make 24.", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 / 3 = 4/3 (left: 4/3 4)\n4 * (4/3) = 24/3 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 4 * (4 / (10 - 7)) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (4 * 4) * (7 - (10 - 6)) = 42", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (7 - 4) * (10 - 4) = 18", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 - 3 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (10 - 7) * (4 - (4 - 3)) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 4 * (10 - (7 - 4)) = 28", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 7) * 4 * (4 / 2) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (7 - 4) * (10 - 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 + 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 13 (left: 13)\n13 + 3 = 24 (left: 24)\nAnswer: (4 * 4) - (10 - 7) = 24", "Steps:\n4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (4 * (10 - (7 - 4))) - 4 = 24", "Steps:\n10 - 7 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (4 * 4) * (10 - 7) = 24", "Steps:\n10 - 4 = 6 (left: 4 6 7)\n6 * 4 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (10 - 4) * 4 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: Unfortunately, there is no combination that will result in 24 with these numbers.", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n10 - 7 = 3 (left: 3 16)\n3 * 16 = 24 (left: 24)\nAnswer: (4 * 4) * (10 - 7) = 24", "Steps:\n4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: none"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 215305, "prompt_tokens": 69920, "cost": 15.0159}}, {"idx": 964, "ys": ["Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (7 - (13 - 10)) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 7) * (10 - 1) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot make 24.", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 7)) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (13 - 10)) * (1 * 4) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n7 * 10 / 3 = 24 (left: 24)\nAnswer: (1 + (13 - 7)) * 10 / 3 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n10 - 7 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 10)) * (7 - 3) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (13 - 10)) * (1 * 4) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 7)) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (13 - 10)) * (1 + 3) = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\nAnswer: (13 - 1) * (7 - 10) != 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: (13 - 10) * (7 - 3) = 4 (not possible to obtain 24)", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 7 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\n10 - 7 = 3 (left: 3 13)\n50 / 3 = 24 (left: 24)\nAnswer: (1 - 7 + 13) * (10 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 7) * (10 - (13 - 7)) = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (7 - (1 * 3)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (13 - 10)) * (4 * 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 7 = 5 (left: 5 10)\n5 * 10 / 2 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (7 - (1 + 3)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (13 - 10) * 7 + 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 6) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (7 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (13 - 7)) * (13 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 10) * (7 - (13 - 10)) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 7 = 5 (left: 5 10)\n5 * 4 = 20 (left: 20)\n10 - 20 = 24 (left: 24)\nAnswer: (13 - 1 - 7) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 7 = 5 (left: 5 10)\n5 * 10 / 2 = 24 (left: 24)\nAnswer: 5 * (13 - 1 - 7) * 10 / 2 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 1) * 2 + 10 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This input cannot be used to obtain 24.", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (13 - 10) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (13 - 10)) * 7 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: This input cannot be used to obtain 24.", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n10 - 7 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n4 * 1 = 4 (left: 4)\nAnswer: (13 - 10) * (7 - (13 - 10)) = 4", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: No solution", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - (13 - 10)) * (1 + 3) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 7)) * (10 - 6) = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (13 - 10) * 7 + 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (13 - 10)) * (7 - 3) = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (1 - 13) * (10 - 12) + 10 = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 7))) = 24", "Steps:\n13 - 1 = 12 (left: 7 10 12)\n12 - 10 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 1) * (12 - 10) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (13 - 10)) * 7 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * 4) * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * ((13 - 10) * (7 - 3)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (7 - (13 - 10)) = 24", "Steps:\n13 - 7 = 6 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (13 - 7) = 24", "Steps:\n13 - 10 = 3 (left: 1 7 3)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n13 - 10 = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (13 - 10))) * 6 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 222367, "prompt_tokens": 72105, "cost": 15.50517}}, {"idx": 965, "ys": ["Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 9 2)\n9 * 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 * (13 - 1)) + (12 - 10) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no way to obtain 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 * 2 = 24 (left: 9 10 24)\n10 - 9 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n1 + 3 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: No solution", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThis combination of numbers cannot make 24.", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 4) * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 9 3)\n9 / 3 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 / 3) = 24", "Steps:\n10 - 1 = 9 (left: 9 9 13)\n9 * 9 = 81 (left: 13 81)\n81 / 13 = 6.230769230769231 (left: 6.230769230769231)\nAnswer: Invalid input", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n4 * 10 = 40 (left: 1 40)\n40 - 1 = 24 (left: 24)\nAnswer: ((13 - 9) * 10) - 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + 9 - (13 - 10)) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 * 2 = 24 (left: 9 10 24)\n10 - 9 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 4) * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 9) * (10 - (13 - 9)) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - (13 - 10)) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 1) * (12 - 9) = 30", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n10 - 9 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: Unfortunately, there is no combination of these numbers that can obtain 24 using basic arithmetic operations.", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n4 * 10 = 40 (left: 1 40)\n40 / 1 = 24 (left: 24)\nAnswer: (13 - 9) * 10 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 1 = 9 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (13 - 9) * (10 - 1) = 36", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 6) * (13 - 10) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 1) * (12 - 9) = 30", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 10) * 4) * (9 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (13 - 9)) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 1) * (12 - 9) = 24 is not possible", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (13 - 10) * 9 - 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n4 - 1 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 9) * (10 - 1) = 30", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n9 + 10 = 19 (left: 1 13 19)\n19 - 13 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n\nThere is no possible way to obtain 24 with the given numbers.", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (13 - 9)) * (1 * 6) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 9) * (10 - 4)) * 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + 6) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 4) * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 4) * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (10 - (13 - 9)) * 4 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 9) * (10 - (13 - 9)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 * 2 = 24 (left: 9 10 24)\n10 - 9 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (13 - 10) * 9 - 1 = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n4 * 10 = 40 (left: 1 40)\n40 / 1 = 24 (left: 24)\nAnswer: ((13 - 9) * 10) / 1 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * 6) * (9 - (13 - 10)) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\n10 - 6 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 6) * (13 - 1 - 9) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n10 * 3 = 30 (left: 30)\nAnswer: (13 - 1) * (12 - 9) = 30", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (9 - (13 - 10)) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (9 - (13 - 10)) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 9 2)\n9 * 2 = 18 (left: 18)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution is possible", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 + 4 = 24 (left: 24)\nAnswer: (13 - 9) * 1 + 10 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no way to obtain 24 using the given numbers and operations.", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (9 - (13 - 10))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\n30 - 10 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 1 = 9 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Invalid input (cannot obtain 24)", "Steps:\n13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (13 - 9))) * 4 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: This set of numbers cannot form 24 using the given operations.", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n3 * 9 = 27 (left: 1 27)\n27 - 1 = 24 (left: 24)\nAnswer: (13 - 10) * 9 - 1 = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\n(No solution)", "Steps:\n13 - 10 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (9 - 1) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 * 2 = 24 (left: 9 10 24)\n10 - 9 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 10 = 3 (left: 1 9 3)\n9 - 3 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + 6) * (13 - 10) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 * 2 = 24 (left: 9 10 24)\n10 - 9 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (13 - 1) * (10 - 9) = 24", "Steps:\n13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no solution for this input."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 229326, "prompt_tokens": 74290, "cost": 15.988259999999999}}, {"idx": 966, "ys": ["Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * 2 = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((11 - 3) - 4) * 3 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * 2 = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: Cannot obtain 24 from these numbers.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((11 - 3) - 4) * 3 = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (11 - 4) * (3 + 3) = 42", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\nNo combination can make 24.", "Steps:\n4 - 3 = 1 (left: 1 3 11)\n11 - 3 = 8 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n3 + 4 = 7 (left: 7 8)\n7 * 8 = 56 (left: 56)\nAnswer: (11 - 3) * (3 + 4) = 56", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (11 - 3) * (8 - 3) = 20", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (8 - 4)) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * 2 = 24", "Steps:\n4 * 3 = 12 (left: 3 11 12)\n12 - 3 = 9 (left: 9 11)\n9 * 11 = 99 (left: 99)\nAnswer: Not possible to get 24 with these numbers.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution found", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n3 * 4 = 12 (left: 3 11 12)\n11 - 3 = 8 (left: 8 12)\n12 * 8 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n3 * 4 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (11 - 3) * (3 * 4 / 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * 2 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nCannot obtain 24 with these numbers.", "Steps:\n11 * 3 = 33 (left: 3 4 33)\n33 - 4 = 29 (left: 3 29)\n29 - 3 = 26 (left: 26)\nAnswer: No solution", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 3 - 4) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 3) * 2 * (8 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: No solution", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * 2 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * 2 = 24", "Steps:\n4 * 3 = 12 (left: 3 11 12)\n11 + 3 = 14 (left: 12 14)\n14 - 12 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 3) * (11 + 3 - 12) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - (11 - 4)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * (11 - 4) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * 2 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (11 - 3) * (4 - 3) = 8", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - (11 - 4))) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nNo possible way to obtain 24.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: None", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (11 - 3) * (4 - 3) = 8", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThis set of numbers cannot make 24.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - (11 - 4))) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n3 * 4 = 12 (left: 8 12)\n12 * 8 / 4 = 24 (left: 24)\nAnswer: (11 - 3) * (3 * 4) / 4 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n4 * 3 = 12 (left: 3 11 12)\n11 - 3 = 8 (left: 8 12)\n12 * 8 = 96 (left: 96)\nAnswer: Not possible", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 4) - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\nNo possible solution.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 / 4 = 2 (left: 3 2)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 3) / 4 * 3 * 4 = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: None", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (11 - 3) * (4 - 3) = 8", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 3) * (8 - 4) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution found.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 3) * (11 - 4 - 3) = 24", "Steps:\n4 * 3 = 12 (left: 3 11 12)\n12 - 3 = 9 (left: 9 11)\n9 + 11 = 24 (left: 24)\nAnswer: (4 * 3) + (11 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (7 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 * 3 = 24 (left: 4 24)\n24 / 4 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 6) * (3 * (11 - 3)) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((11 - 4) - 3) * 3 = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 3) * (11 - 4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (11 - 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) + (11 - 4) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n9 * 7 / 3 = 24 (left: 24)\nAnswer: (11 - 4) * (3 * 3 / 3) = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (3 + 3) * (11 - 4) = 42", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n\nThis set of numbers cannot be used to obtain 24.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n3 * 4 = 12 (left: 8 12)\n12 * (11 - 3) = 24 (left: 24)\nAnswer: (3 * 4) * (11 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (4 - 3) * (11 - 3) = 8", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no possible solution to obtain 24 using these numbers.", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 3 * (8 - (11 - 3)) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (11 - 3) * (4 - 3) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nNo possible operations can lead to 24. Answer: None", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n8 * 3 = 24 (left: 4 24)\n24 / 4 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 3) * 3 = 24", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (7 - 3)) * (11 - 4) = 24", "Steps:\n11 - 3 = 8 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No solution", "Steps:\n11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 4) * (7 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 236236, "prompt_tokens": 76475, "cost": 16.46841}}, {"idx": 967, "ys": ["Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no solution for this set of numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nUnfortunately, it is not possible to obtain 24 using only basic arithmetic operations with the given numbers.", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: None", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: No solution", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * (5 + 5) - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 28", "Steps:\n7 + 5 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (7 - 2) * (7 + 5) = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (7 - 2) * (5 - (7 - 5)) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nThis input is not possible to achieve 24.", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n5 - 2 = 3 (left: 3 14)\n14 + 3 = 24 (left: 24)\nAnswer: (7 + 7) + (5 - 2) = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * (5 + 5) - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nUnfortunately, there is no way to make 24 using these numbers.", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\n35 - 11 = 24 (left: 24)\nAnswer: (7 * 2 - 7) * 5 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no solution for this input.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution", "Steps:\n7 + 2 = 9 (left: 5 7 9)\n7 * 5 = 35 (left: 9 35)\n35 - 9 = 24 (left: 24)\nAnswer: (7 * 5) - (7 + 2) = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (7 * 2 - 7) * 5 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nThere is no solution for this input.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 + (7 - 5) = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\n\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n7 - 2 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (7 - 5)) * (7 - 2) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution using these numbers.", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n7 - 5 = 2 (left: 2 14)\n14 * 2 = 28 (left: 28)\nAnswer: (7 * 2) * (7 - 5) = 28", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no combination of operations that results in 24.", "Steps:\n5 + 7 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * (5) - 7 = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: 5 * (7 * 2 - 7) = 35", "Steps:\n7 + 2 = 9 (left: 5 7 9)\n7 - 5 = 2 (left: 2 9)\n9 * 2 = 24 (left: 24)\nAnswer: (7 + 2) * (7 - 5) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 7 = 14 (left: 2 14)\n14 - 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (7 - 5)) * (14 - 2) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 28", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nThere is no possible combination to make 24.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nThere is no solution for this problem.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28, not 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28 (not possible to obtain 24)", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (7 * 2 - 7) * 5 = 35", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n2 * 9 = 24 (left: 24)\nAnswer: 2 * (7 + 7 - 5) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * (5 * 5) - 7 = 24", "Steps:\n7 + 5 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 24 (left: 24)\nAnswer: (7 + 5) * (7 - 2) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n5 * 2 = 10 (left: 10 14)\n14 + 10 = 24 (left: 24)\nAnswer: (7 + 7) + (5 * 2) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution with these numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * (2 * 2) - 4 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nInput: 2 5 7 7 does not have a combination to make 24.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 7 * (7 - 5) * (7 - 5) = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: No possible solutions", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28\n\nUnfortunately, it is not possible to achieve 24 with the given numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: No solution", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (7 - 2) * (5 * 5) - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no solution for this set of numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * (2 * 2) = 24", "Steps:\n7 * 2 = 14 (left: 5 7 14)\n14 - 7 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nThere is no way to get 24 using these numbers.", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - 5) * 2 * 7 = 28", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no possible way to get 24 with these numbers.", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n14 - 5 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\n\nAnswer: There is no possible combination of operations that can obtain 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution to make 24.", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 / 7 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * (7 / 7) = 24", "Steps:\n5 * 2 = 10 (left: 7 7 10)\n10 - 7 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no possible solution with these numbers.", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n2 * 5 = 10 (left: 10 14)\n14 + 10 = 24 (left: 24)\nAnswer: (2 * 5) + (7 + 7) = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n7 * 4 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 - 5) * 2 * 7 - 4 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n5 - 2 = 3 (left: 3 14)\n3 * 14 = 42 (left: 42)\nAnswer: (5 - 2) * (7 + 7) = 42", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * (5) - 7 = 24", "Steps:\n7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (7 - 2) * 5 - 7 = 24", "Steps:\n7 + 7 = 14 (left: 2 5 14)\n5 - 2 = 3 (left: 3 14)\n3 * 14 = 42 (left: 24)\nAnswer: (5 - 2) * (7 + 7) = 24", "Steps:\n5 + 7 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\nAnswer: There is no combination for input (2 5 7 7) to get 24."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 242773, "prompt_tokens": 78660, "cost": 16.92618}}, {"idx": 968, "ys": ["Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis set of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 3 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution available.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nUnfortunately, there is no way to obtain 24 with the given numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: (3 * (13 - 10)) * 9 = 81\nNote: This problem has no solution to obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (not 24)\n\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this set of numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no possible solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: This input cannot form 24.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Unable to reach 24 with given numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nUnable to obtain 24 using given numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: (3 * (13 - 10)) * (3 * 9) = 81", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 / 3 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: 18", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n3 + 18 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 3 = 24", "Steps:\n10 - 9 = 1 (left: 1 3 13)\n13 - 3 = 10 (left: 1 10)\n1 * 10 = 10 (left: 10)\nAnswer: (10 - 9) * (13 - 3) = 10", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * 3 * (9 / 9) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nUnfortunately, there is no way to obtain 24 using the given numbers and the allowed operations.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThis set of numbers cannot be combined to create 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * (9 / (9 - 3)) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThere is no solution to get 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Unfortunately, it is not possible to obtain a result of 24 with these numbers using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (13 - 9) * (10 - 3) = 28", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Invalid input, can't make 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: (13 - 9) * 3 + 10 = 22", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * (9 / (3 / 3)) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no possible solution to reach 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 3 = 10 (left: 9 10 10)\n10 - 9 = 1 (left: 1 10)\n10 * 1 = 24 (left: 24)\nAnswer: (13 - 3) * (10 - 9) = 10", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Impossible", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\nNo combination found.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis combination cannot make 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: No solution found.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((13 - 10) * (9 - 3)) + 6 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 * 2 = 24 (left: 24)\nAnswer: (13 - 9) * 3 * (10 / 5) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo possible solution found.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThis input cannot result in 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * (3 * 3) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThis input cannot result in 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * (9 / (9 - 3)) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 3 = 10 (left: 9 10 10)\n10 - 9 = 1 (left: 1 10)\n1 * 10 = 10 (left: 10)\nAnswer: Not possible to achieve 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 / 3 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((13 - 10) * (9 - 3)) + 6 = 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution to obtain 24 using these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 3 = 10 (left: 10 9 10)\n10 - 9 = 1 (left: 1 10)\n10 * 1 = 24 (left: 24)\nAnswer: (10 * (13 - 3)) - 9 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 6 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (doesn't work, try another approach)\n\n10 - 3 = 7 (left: 7 9 13)\n13 - 7 = 6 (left: 6 9)\n6 * 9 = 54 (doesn't work, try another approach)\n\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (doesn't work, no solution possible)\n\nAnswer: No solution possible.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * (3 * (9 / 3)) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThis input cannot produce 24 using basic arithmetic operations.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis problem does not have a solution.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n81 / 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 + (13 - 10)) * (9 - 3) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\nThere is no solution for this set of numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 / 3 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (13 - 10)) * (9 / 3) - 3 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nThere is no solution for this case.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Invalid, cannot achieve 24 with given numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nThis input cannot make 24.", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n4 * 7 = 24 (left: 24)\nAnswer: (13 - 9) * (10 - 3) = 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n4 * 3 = 12 (left: 10 12)\n12 + 10 = 22 (left: 22)\n22 - 10 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 3) * (10 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nNo solution", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 9 = 4 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: No solution found", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 6 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 6 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81\nUnfortunately, there is no possible solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - (13 - 10))) + 6 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n\n9 + 10 = 19 (left: 3 13 19)\n19 - 13 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n\n10 - 3 = 7 (left: 7 9 13)\n13 - 9 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n\nThere is no combination that results in 24.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: Not possible", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\n81 / 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (13 - 10)) * (9 / 3) - 3 = 24", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n9 - 3 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 10 = 3 (left: 3 3 9)\n3 * 3 = 9 (left: 9 9)\n9 * 9 = 81 (left: 81)\nAnswer: There is no solution for this input."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 249101, "prompt_tokens": 80845, "cost": 17.371409999999997}}, {"idx": 969, "ys": ["Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 * 5 = 15 (left: 4 15)\n15 / 4 = 3.75 (left: 3.75)\nAnswer: No solution found.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n4 + 15 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 + 4 = 19 (left: 19)\nAnswer: There is no solution for this set of numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 / 5 = 24 (left: 24)\nAnswer: (7 - 2) * (3 * 4) / 5 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 * 3 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 2) * 3 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 3 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: No solution found.", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 24 (left: 24)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (7 - 4) * (3 * 2) = 18", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 + 4 = 19 (left: 19)\nAnswer: 19", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n1 * 20 = 20 (left: 20)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 / 3 = 1.33 (approx.) (left: 1.33 5)\n5 * 1.33 = 6.65 (approx.) (left: 6.65)\nAnswer: Unable to obtain 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: This input cannot form 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 23 (left: 23)\nCannot make 24 with these numbers.", "Steps:\n3 + 4 = 7 (left: 2 7 7)\n7 * 2 = 14 (left: 7 14)\n14 + 7 = 24 (left: 24)\nAnswer: (3 + 4) * 2 + 7 = 24", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: There is no solution for this input.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n7 * 2 = 14 (left: 3 4 14)\n14 - 4 = 10 (left: 3 10)\n10 - 3 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\nAnswer: (7 * 2) - 4 = 21", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 4 = 16 (left: 2 16)\n16 / 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((7 - 3) * 4) / 2 * 3 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 * 3 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 2) * 3 - 7 = 24", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 4 = 16 (left: 2 16)\n2 * 16 = 32 (left: 32)\nAnswer: (7 - 3) * 4 * 2 = 32", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 4 = 16 (left: 2 16)\n16 / 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * (4 / 2) = 24", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 4 = 16 (left: 2 16)\n16 / 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: ((7 - 3) * 4) / 2 * 3 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 2 = 6 (left: 3 6)\n6 * 3 = 18 (left: 18)\nAnswer: There is no solution to get 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 / 4 = 3.75 (cannot make 24)\nAnswer: Not possible", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n1 * 3 = 3 (left: 3)\nAnswer: It is not possible to obtain 24 from these numbers.", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\nThis input cannot be used to obtain 24.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: None (cannot obtain 24 with these numbers)", "Steps:\n7 * 4 = 28 (left: 2 3 28)\n28 - 2 = 26 (left: 3 26)\n26 - 3 = 24 (left: 24)\nAnswer: (7 * 4) - 2 - 3 = 24", "Steps:\n4 - 2 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nNote: It's not possible to get 24 with these numbers.", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 2 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (7 - 2) * (3 + 4) = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20 1)\n20 + 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) + 4 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) + 4 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no solution for this input using the given operations.", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 * 3 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nNo solution found.", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 + 4 = 19 (left: 19)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n4 / 2 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis sequence doesn't reach 24.", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: No solution", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: Not possible.", "Steps:\n4 / 2 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no possible solution for this input using only basic arithmetic operations to obtain 24.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 3 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n4 * 1 = 4 (left: 4)\n20 + 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) + 4 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis combination of numbers cannot make 24.", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n3 + 4 = 7 (left: 2 7 7)\n7 * 2 = 14 (left: 7 14)\n14 + 7 = 21 (left: 21)\nAnswer: (3 + 4) * 2 + 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (7 - 2) * 4 + 3 = 24", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 24 (left: 24)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n3 * 4 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n12 * 5 / 2 = 24 (left: 24)\nAnswer: (3 * 4) * (7 - 2) / 2 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: None", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (7 - 3) = 24", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n4 + 3 = 7 (left: 2 7 7)\n7 * 2 = 14 (left: 7 14)\n14 + 7 = 21 (left: 21)\nAnswer: (4 + 3) * 2 + 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 / 4 = 3.75 (left: 3.75)\nNo solution.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (7 - 2)) * (4 - 3) = 24", "Steps:\n4 - 2 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 23 (left: 23)\nAnswer: (7 - 2) * 4 + 3 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 + 4 = 19 (left: 19)\nAnswer: Not possible to obtain 24", "Steps:\n3 * 4 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (3 * 4) * 2 - 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 23 (left: 23)\nThis combination cannot form 24.", "Steps:\n4 + 3 = 7 (left: 2 7 7)\n7 * 2 = 14 (left: 7 14)\n14 + 7 = 24 (left: 24)\nAnswer: (4 + 3) * 2 + 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) = 24", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\nAnswer: There is no solution for this input.", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 3 = 9 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 2 = 8 (left: 4 8)\n8 * 4 = 32 (left: 32)\n32 / 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 4 * (7 - 3) * 2 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n3 * 4 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (3 * 4) * 2 - 7 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 24 (left: 24)\nAnswer: (4 * 2 - 3) * 7 = 24", "Steps:\n4 * 3 = 12 (left: 2 7 12)\n12 * 2 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 3) * 2 - 7 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 4 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: ((7 - 2) * 4) + 3 = 24", "Steps:\n4 - 2 = 2 (left: 2 3 7)\n3 * 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nNote: It's not possible to achieve 24 with the given numbers.", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nNo solution can be found for this input.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n5 * 3 = 15 (left: 4 15)\n15 + 4 = 19 (left: 19)\nCannot form 24 using these numbers.", "Steps:\n3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: None", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) + 4 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 * 3 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 2) * 3 - 7 = 24", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 * 3 = 24 (left: 7 24)\n24 - 7 = 17 (left: 17)\nAnswer: (4 * 2) * 3 - 7 = 24", "Steps:\n7 - 4 = 3 (left: 2 3 3)\n3 * 2 = 6 (left: 3 6)\n6 * 3 = 18 (left: 18)\nAnswer: (7 - 4) * (2 * 3) = 18", "Steps:\n7 - 3 = 4 (left: 2 4 4)\n4 * 4 = 16 (left: 2 16)\n16 * 2 = 32 (left: 32)\nAnswer: (7 - 3) * (4 * 4) = 32\n\nUnfortunately, there is no solution for the given input to obtain 24.", "Steps:\n4 * 2 = 8 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n5 * 7 = 24 (left: 24)\nAnswer: (4 * 2 - 3) * 7 = 24", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n3 * 5 = 15 (left: 4 15)\n15 - 4 = 11 (left: 11)\n2 * 11 = 22 (left: 22)\nAnswer: Not possible to obtain 24.", "Steps:\n7 - 2 = 5 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 24 (left: 24)\nAnswer: (7 - 2) * (4 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 255417, "prompt_tokens": 83030, "cost": 17.81592}}, {"idx": 970, "ys": ["Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * (12 - 8) = 20", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * 4) + (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 + 4) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * (4 * 4) + 4 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (12 - 8) = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4 - 12) * 8 = 32", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 24 (left: 24)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 + 8 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * 4 + 8) * (12 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n12 / 4 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (12 / (8 - 4)) * 8 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThis input cannot be used to obtain 24.", "Steps:\n4 + 4 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 24)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n4 * 3 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 4) * (4 * 3) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (8 / 4) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no solution for this input.", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 24)\nAnswer: (4 * 4 - 12) * 8 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: 4 * (4 * 4 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: ((12 - 8) * 4) + 4 = 20", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + (4 + 4) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) - 12 * 8 = 32", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 24 (left: 24)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: Invalid input, cannot make 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (8 / 4) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n20 + 4 = 24 (left: 24)\nAnswer: ((12 - 8) * 4) + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (8 / 4) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (4 * (12 - 8)) + 4 + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n20 - 16 = 4 (left: 4)\n4 * 4 = 16", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 8 = 8 (left: 8 12)\n8 * 12 / 4 = 24 (left: 24)\nAnswer: (4 * 4 - 8) * (12 / 4) = 24", "Steps:\n4 + 4 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 + 4) * (12 - 8) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (8 / 4) = 24", "Steps:\n4 + 4 = 8 (left: 8 8 12)\n8 * 3 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 / 8 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((4 + 4) * 3 - 8) * 12 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 + 8 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * 4 + 8) * (12 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4 - 12) * 8 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4 - 12) * 8 = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4 - 12) * 8 = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n4 * 3 = 12 (left: 8 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (12 / 4)) * 2 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 * 4 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (12 - 4) * 4 - 8 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 + 8 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * 4 + 8) * (12 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4 - 12) * 8 = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to obtain 24 with these numbers", "Steps:\n4 + 4 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution", "Steps:\n4 + 4 = 8 (left: 8 8 12)\n8 * 12 = 96 (left: 8 96)\n96 / 8 = 24 (left: 24)\nAnswer: (4 + 4) * 12 / 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (8 - 4) * 4 + 12 = 28", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16 20)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: (12 - 8) * 4 + 4 = 20", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 8 4)\n8 * 4 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 24)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (16 - 12) = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (16 - 12) = 32", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 - 4) * (8 - 4) = 32", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 - 4) * (8 - 4) = 32", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: There is no solution using these numbers.", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 24 (left: 24)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n3 * 8 = 24 (left: 4 24)\n24 - 4 = 20 (left: 20)\n4 + 20 = 24 (left: 24)\nAnswer: (12 / 4 * 8) + 4 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (8 - 12) = 32", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * 4 / 8 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (8 / 4) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4 - 12) * 8 = 32", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n32 - 8 = 24 (left: 24)\nAnswer: (4 * 4 - 12) * 8 - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 4", "Steps:\n12 / 4 = 3 (left: 4 3 8)\n8 - 4 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 4) * (8 - 4) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 + 4 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: None", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 + 8 = 24 (left: 12 24)\n24 - 12 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * 4 + 8) * (12 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nThere is no solution for this input.", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: There is no solution for this input.", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (8 - 4) * 4 + 12 = 28", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 / 4 = 4 (left: 4)\n4 * 4 = 24 (left: 24)\nAnswer: (4 * (12 - 8)) / 4 = 24", "Steps:\n8 - 4 = 4 (left: 4 4 12)\n4 * 4 = 16 (left: 12 16)\n16 + 12 = 28 (left: 28)\nAnswer: (8 - 4) * 4 + 12 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 8)\n8 / (32 / 24) = 24 (left: 24)\nAnswer: 8 / ((4 * 4) - 12) = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n12 - 4 = 8 (left: 4 8 8)\n8 * 4 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (4 * (12 - 4)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nThere is no solution using only these numbers and basic arithmetic operations.", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: There is no solution for this input.", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n12 / 4 = 3 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThis input does not have a solution to reach 24.", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: (12 - 8) * 4 + 4 = 24", "Steps:\n4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (4 * 4) * (8 - 12) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (4 * 4) + (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 4 4)\n4 * 4 = 16 (left: 4 16)\n16 + 4 = 20 (left: 20)\nAnswer: 12 - 8 * 4 + 4 = 20"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 264870, "prompt_tokens": 85215, "cost": 18.44865}}, {"idx": 971, "ys": ["Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n1 + 2 = 3 (left: 3 6 10)\n3 * 6 = 18 (left: 10 18)\n18 + 10 = 28 (left: 28)\nAnswer: (1 + 2) * 6 + 10 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (10 - 1) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 2 = 24 (left: 24)\nAnswer: ((10 - 6) - 2) * (1 * 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 / 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * 12 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 / 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((10 - 6) / 2) * (1 * 12) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21 1)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * 3 + 1 = 24", "Steps:\n10 / 2 = 5 (left: 1 5 6)\n6 - 1 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nAnswer: (10 / 2) * (6 - 1) = 25", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) * 3 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (1 * 12) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (10 - 6)) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (6 - (4 - 2)) = 24", "Steps:\n10 - 2 = 8 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (6 / 1) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * 1) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (10 - 2)) * (8 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - (6 / 2))) * 3 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (10 - 6) * 2 * 1 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n3 * 10 = 30 (left: 1 30)\n30 - 1 = 29 (left: 29)\nAnswer: (6 / 2) * 10 - 1 = 24 (not possible)", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n3 * 10 = 30 (left: 1 30)\n30 - 1 = 29 (left: 29)\nAnswer: (6 / 2) * 10 - 1 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (10 - 6) * 2 * 1 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n2 + 1 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (10 - 6) * (2 + 1) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 24 (left: 24)\nAnswer: (6 / 2) * (10 - 3) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) * 3 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - (6 / 2))) + 3 = 24", "Steps:\n6 - 2 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (6 - 2) * 1 * 10 = 40", "Steps:\n10 - 2 = 8 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (10 - 2)) * (8 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: (10 - 6 / 2) * 1 = 7", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - (6 / 2)) * (1 + 6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: There is no possible solution with these numbers.", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) * (1 * 2) = 24", "Steps:\n6 - 2 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 * (10 - (6 - 2))) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (6 / 2) * (10 - 1) = 27", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) + 3 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) * 12 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) + 3 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * (1 + 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (2 * (4 - 2)) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * (1 + 6 / 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: No Solution", "Steps:\n10 - 2 = 8 (left: 1 6 8)\n6 - 1 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (10 - 2) * (6 - 1) = 40", "Steps:\n6 + 2 = 8 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (10 - (6 + 2))) * 12 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * (1 + 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n2 * 4 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to get 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n2 * 6 = 12 (left: 1 10 12)\n12 - 10 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\nAnswer: (2 * 6) * (10 - 12) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nNo valid solution found.", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * 3 + 1 = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: ((10 - (6 / 2)) * 1) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * (7 - 1) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) + (6 / 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 * 2 = 8 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (10 - 6) * (4 - 2) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * 3 + 1 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n2 + 1 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (10 - (6 / 2))) * 3 = 24", "Steps:\n6 - 2 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (6 - 2) * 1 * 10 = 40", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (1 * (4 - 2)) * (10 - 6) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 24 (left: 24)\nAnswer: (6 / 2) * (10 - 1) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 24 (left: 24)\nAnswer: (1 * (10 - 6 / 2)) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 1 6 8)\n6 - 1 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Invalid", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (10 - 6 / 2) * (7 - 1) = 24", "Steps:\n10 - 6 = 4 (left: 1 2 4)\n4 - 2 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - 6) * (4 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 1 = 7 (left: 7)\nThere is no way to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 21)\n21 + 1 = 24 (left: 24)\nAnswer: (1 + (10 - 6 / 2)) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n7 * 3 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / 2) * (10 - 3) + 1 = 24", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: The given numbers cannot be used to obtain 24 using the allowed operations.", "Steps:\n6 / 2 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n1 * 7 = 7 (left: 7)\nAnswer: There is no solution with the given numbers."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 272142, "prompt_tokens": 87400, "cost": 18.950519999999997}}, {"idx": 972, "ys": ["Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 2 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / (5 - 1) = 3 (left: 1 3 12)\n3 * 12 = 36 (left: 1 36)\n36 - 12 = 24 (left: 24)\nAnswer: (12 / (5 - 1)) * 12 - 12 = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 * 5 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((12 / 12) * 5) * 5 - 1 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no solution for obtaining 24 with these numbers.", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 14 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: 5 = 5 (There is no combination that results in 24 with these numbers)", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3.4286 = 24 (left: 24)\nAnswer: (12 - 5) * (12 / 1) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 4 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 + 5 = 21 (left: 21)\n21 + 1 = 22 (left: 22)\n22 + 1 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (((((((((1 + 5) + 12) + 12) - 5) - 1) - 5) - 1) - 1) - 1) + 1 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n5 * (12 / 12) = 5 (left: 5)\n5 * (12 / 1) = 24 (left: 24)\nAnswer: 5 * ((12 / 12) * 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 1 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 + 5 = 17 (left: 12 17)\n17 - 12 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (12 / 1 + 5) * (17 - 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 * 2 = 24 (left: 5 24)\n24 - 5 = 19 (left: 19)\nNo solution found.", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 / 3.5 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 5 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: N/A", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 14 = 24 (left: 24)\nAnswer: ((12 / 12) + 1) * 5 + 14 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 - 5) * (12 / 1) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: Not possible to obtain 24 with these numbers", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nThis input cannot result in 24 using basic arithmetic operations.", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * (12 / 12) = 24 (left: 24)\nAnswer: (1 + (12 / 12)) * 5 = 24", "Steps:\n12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 12 = 24 (left: 24)\nAnswer: (12 * 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 21 (left: 21)\nAnswer: (12 / 1) * (12 - 5) = 21", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: Not possible", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((12 / 1) / 12) * 5 = 24", "Steps:\n12 - 1 = 11 (left: 5 11 12)\n11 + 5 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + 5) * (12 - 12) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 1 = 11 (left: 11)\n11 + 5 = 16 (left: 16)\n16 + 12 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (((((1 + 5) * (12 / 12)) + 1) + 5) + 12) - 4 = 24", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n7 - 1 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 5) * (7 - 1) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (1 + (12 / 12)) * 5 = 24", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n7 * 1 = 7 (left: 7 12)\n12 + 7 = 19 (left: 19)\nAnswer: (12 - 5) * 1 + 12 = 24", "Steps:\n12 * 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n12 / 7 = 24 (left: 24)\nAnswer: (12 * 1) / (12 - 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 / 7 = 12 (left: 12)\n12 * 1 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n1 + 5 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((1 + 5) * (12 / 12)) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 / 7 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 1 = 10 (left: 10) -> not possible to reach 24\nAnswer: Not possible", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (12 / 1)) - (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 - 5 = 0\nAnswer: None", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 - 5) * 12 = 84", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 / 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 + (12 / 12)) * ((1 + 5) + 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 12) * 5 = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 * 1 = 16 (left: 16)\n16 + 5 = 21 (left: 21)\n21 + 1 = 22 (left: 22)\n22 * 1 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: ((12 / 12) + 1) * 5 + 2 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (12 / 1) * (5 - (12 / 12)) = 24", "Steps:\n12 - 1 = 11 (left: 5 11 12)\n12 - 5 = 7 (left: 7 11)\n7 * 11 = 77 (left: 77)\nAnswer: None", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: Not possible", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (1 * 5) * (12 / 12) + 12 / 1 - 1 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (1 * 5) * (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n24 - 10 = 14 (left: 14)\n24 - 14 = 10 (left: 10)\nAnswer: 24 - (1 + 5 * (12 / 12)) = 10", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no solution with these numbers.", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n12 - 7 = 5 (left: 1 5)\n1 * 5 = 5 (left: 5)\nAnswer: (1 * (12 - 5)) * (12 - 7) = 5", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * (12 / 1) = 24 (left: 24)\nAnswer: 7 * (12 / 1) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 - 5 = 10 (left: 10)\n10 + 1 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 1 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (((((1 + 5) - 5) + 1) * 2) + 1) + 1 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no possible solution to obtain 24 with the given numbers.", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no combination to obtain 24 with these numbers.", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 14 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 - 1 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: ((12 / 12) + 1) * 5 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 1) * (12 / 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 3 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (1 + (12 / 12)) * 5 * 2.4 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 / 3.5 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 4 = 24 (left: 24)\nAnswer: (12 - 5) * (12 / 1) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 24 (left: 24)\nAnswer: (12 - 5) * 12 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 24 (left: 24)\nAnswer: (12 / 1) * (12 - 5) = 24", "Steps:\n12 - 1 = 11 (left: 5 11 12)\n12 - 11 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 5 * (12 - (12 - 1)) = 24", "Steps:\n12 - 5 = 7 (left: 1 7 12)\n1 + 7 = 8 (left: 8 12)\n8 * 3 = 24 (left: 24)\nAnswer: (1 + (12 - 5)) * 3 = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 * 1.5 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: Not possible", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 5 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: There is no solution for this input.", "Steps:\n12 - 1 = 11 (left: 5 11 12)\n12 - 5 = 7 (left: 7 11)\n7 * 11 = 77 (left: 77)\nNo solution.", "Steps:\n12 * 2 = 24 (left: 1 5 24)\n5 - 1 = 4 (left: 4 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 * 2) * (5 - 1) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 1 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (1 * (12 / 12)) * 5 + 4 = 24", "Steps:\n12 - 1 = 11 (left: 5 11 12)\n12 - 5 = 7 (left: 7 11)\n11 * 7 = 24 (left: 24)\nAnswer: (12 - 1) * (12 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 + 5 = 21 (left: 21)\n21 + 1 = 22 (left: 22)\n22 + 5 = 27 (left: 27)\n27 - 5 = 22 (left: 22)\n22 - 1 = 21 (left: 21)\n21 - 5 = 16 (left: 16)\n16 - 1 = 15 (left: 15)\n15 - 5 = 10 (left: 10)\n10 - 1 = 9 (left: 9)\n9 + 5 = 14 (left: 14)\n14 + 1 = 15 (left: 15)\n15 + 5 = 20 (left: 20)\n20 + 1 = 21 (left: 21)\n21 + 5 = 26 (left: 26)\n26 - 5 = 21 (left: 21)\n21 - 1 = 20 (left: 20)\n20 - 5 = 15 (left: 15)\n15 - 1 = 14 (left: 14)\n14 - 5 = 9 (left: 9)\n9 - 1 = 8 (left: 8)\n8 * 5 = 40 (left: 40)\n40 - 12 = 28 (left: 28)\n28 - 12 = 16 (left: 16)\n16 - 1 = 15 (left: 15)\n15 - 5 = 10 (left: 10)\n10 - 1 = 9 (left: 9)\n9 - 5 = 4 (left: 4)\n4 * 12 = 48 (left: 48)\n48 - 12 = 36 (left: 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 12) - (12 + 12) = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((12 / 1) / 12) * 5 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: 7 * 12 = 84", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: There is no solution using these numbers.", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n24 - 16 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (1 + (12 / 12)) * 5 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: (12 / 1) * (12 - 5) = 84", "Steps:\n12 * 2 = 24 (left: 1 5 24)\n5 - 1 = 4 (left: 4 24)\n24 * 4 = 24 (left: 24)\nAnswer: (12 * 2) * (5 - 1) = 24", "Steps:\n12 / 12 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 1 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 12) = 24", "Steps:\n12 * 2 = 24 (left: 1 5 24)\n5 - 1 = 4 (left: 4 24)\n24 * 4 = 96 (left: 96) - This input cannot make 24 with the given operations.\nAnswer: Not possible", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 / 12 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((12 / 1) / 12) * 5 = 24", "Steps:\n12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\nAnswer: None"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 279985, "prompt_tokens": 89585, "cost": 19.486649999999997}}, {"idx": 973, "ys": ["Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - (8 + 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (6 / 6)) * 8 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13 24)\n24 - 13 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (6 + 6) * 2 - (5 + 8) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n1 + 5 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no possible solution for this input.", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - 8 - 5 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13)\n24 / 13 = 24 (left: 24)\nAnswer: (6 + 6) * 2 - (8 + 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13)\n24 / 13 = 24 (left: 24)\nAnswer: (6 + 6) * 2 / (5 + 8) = 24", "Steps:\n6 - 5 = 1 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (8 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 8) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 + 8 = 13 (left: 12 13)\n12 + 13 = 25 (left: 24)\nAnswer: (6 + 6) + (5 + 8) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 + 8 = 13 (left: 12 13)\n13 - 12 = 1 (left: 1 24)\n24 * 1 = 24 (left: 24)\nAnswer: (5 + 6) * (6 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - 6 / 6) * 8 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 + 8 = 13 (left: 12 13)\n12 + 13 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((6 + 6) + 13) - 1 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 * 8 = 40 (left: 12 40)\n40 - 12 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 + 8 = 13 (left: 12 13)\n13 - 12 = 1 (left: 1)\n1 * 24 = 24 (left: 24)\nAnswer: (6 + 6) * (5 + 8 - 12) = 24", "Steps:\n6 - 5 = 1 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (8 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 32 (cannot obtain 24)", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - 8 - 5 = 24", "Steps:\n8 - 6 = 2 (left: 2 5 6)\n5 + 2 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (8 - 6) * (5 + 6) = 42", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 32", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 + 8 = 14 (left: 5 6 14)\n6 - 5 = 1 (left: 1 14)\n1 * 14 = 24 (left: 24)\nAnswer: (6 - 5) * (6 + 8) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6 - 8) - 5 = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - 8 - 5 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 8 24)\n8 - 5 = 3 (left: 3 24)\n24 / 3 = 8 (left: 8)\nAnswer: (6 + 6) * 2 = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 32", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 23 (left: 23)\nAnswer: Not possible", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8 24)\n5 - 8 = -3 (left: -3 24)\n24 * -3 = 24 (left: 24)\nAnswer: (6 + 6) * (5 - 8) = 24", "Steps:\n6 * 8 = 48 (left: 5 6 48)\n48 / 6 = 8 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: 5 * (6 * 8 / 6) = 24", "Steps:\n6 * 5 = 30 (left: 6 8 30)\n30 - 6 = 24 (left: 8 24)\n24 * 8 = 192 (left: 192) [This is not correct]\n\nThere is no valid combination of the given numbers that results in 24.", "Steps:\n6 * 5 = 30 (left: 6 8 30)\n30 - 6 = 24 (left: 8 24)\n24 * 8 / 8 = 24 (left: 24)\nAnswer: (6 * 5 - 6) * 8 / 8 = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13)\n24 / 13 = 24 (left: 24)\nAnswer: (6 + 6) * 2 - (5 + 8) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 - 8 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: (6 + 6) - 8) * 5 = 20", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n5 + 6 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (5 + 6) * (11 - 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 8) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (8 - 6)) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13)\n24 - 13 = 11 (left: 11)\n11 * 2 = 22 (Not possible to get 24)", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 1 = 7 (left: 5 7)\n7 * 5 = 35 (left: 35)\nAnswer: There is no solution for this set of numbers.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 32", "Steps:\n6 - 5 = 1 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (6 - 5) * (8 - 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 + 8 = 13 (left: 12 13)\n13 - 12 = 1 (left: 1)\n1 * 24 = 24 (left: 24)\nAnswer: (6 + 6) * (13 - 12) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (6 / 6)) * 8 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 + 8 = 13 (left: 13)\n13 - 1 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (5 + 6) * (6 + 8) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - (8 - 5)) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 * 8 = 40 (left: 12 40)\n40 / 12 = 24 (left: 24)\nAnswer: (5 * 8) / (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 * (8 - 5) = 24 (left: 24)\nAnswer: 5 * (8 - 5) * (6 + 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 5 8)\n5 * 8 = 40 (left: 40)\n40 / 5 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 5 * (6 + 6) / 5 = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 23 (left: 23)\nNo solution found.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - 6 / 6) * 8 = 32", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (5 * 6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to obtain 24 using these numbers.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n1 + 8 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: 5 * (8 - (6 / 6)) = 45", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 23 (left: 23)\nNo possible solution.", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (6 / 6)) * 8 = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - 8 - 5 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (6 / 6) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 / 6 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 6) * (8 - 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n5 * 8 = 40 (left: 12 40)\n40 / 12 = 24 (left: 24)\nAnswer: (5 * 8) / (6 + 6) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - (8 + 5) = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n12 * 2 = 24 (left: 24)\n5 - 5 = 0 (left: 0 8)\nAnswer: (6 + 6) * (5 - 5 + 8 / 8) = 24", "Steps:\n8 - 6 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (8 - 6) * (6 - 5) * 24 = 24", "Steps:\n6 + 6 = 12 (left: 5 8 12)\n8 - 5 = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: (8 - 5) * (6 + 6) = 24", "Steps:\n6 * 6 = 36 (left: 5 8 36)\n36 - 8 = 28 (left: 5 28)\n28 - 5 = 24 (left: 24)\nAnswer: (6 * 6) - 8 - 5 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 286870, "prompt_tokens": 91770, "cost": 19.9653}}, {"idx": 974, "ys": ["Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n8 - 7 = 1 (left: 1 7 11)\n11 - 7 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (8 - 7) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 8 = 3 (left: 3 7 7)\n7 - 3 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution found.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no possible solution using these numbers.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (11 - 7)) * 8 = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: ((11 - 7) * 7) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 8 = 3 (left: 3 7 7)\n7 - 3 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - (11 - 8)) * 7 = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: There is no solution for this input.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 - 4 = 24 (left: 24)\nAnswer: ((11 - 7) * 7) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: 7 * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (8 - (11 - 7)) * 7 = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 8 = 3 (left: 3 7 7)\n7 - 3 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 - (11 - 8)) * 7 = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - (11 - 7)) * 8 = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (11 - 7) * 7 - (8 - 4) = 24", "Steps:\n11 - 8 = 3 (left: 3 7 7)\n7 * 3 = 21 (left: 7 21)\n21 + 7 = 24 (left: 24)\nAnswer: (7 * (11 - 8)) + 7 = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 + 7 = 18 (left: 7 8 18)\n18 - 8 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\nThere is no possible solution for this input.", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 7) * (8 - (11 - 7)) = 28", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (7 * (11 - 7)) - (8 - 4) = 24", "Steps:\n11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (7 * (11 - 7)) - 4 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 294069, "prompt_tokens": 93955, "cost": 20.46279}}, {"idx": 975, "ys": ["Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n1 * 9 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (10 - 7) * (1 * 3) = 9", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis combination cannot make 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Invalid Input (cannot obtain 24)", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 24 (left: 24)\nAnswer: (1 * (10 - 7)) * 3 = 24", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nCannot obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo possible solution.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nUnfortunately, there is no combination of these numbers that results in 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Invalid, cannot obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: The input numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis set of numbers cannot make 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (not possible to get 24)", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution to obtain 24 for input 1 3 7 10.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution for this input", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nUnable to obtain 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (10 - 7) * (3 * 1) = 9", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThere is no solution with these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution with the given numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution with the given numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Invalid", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution for this set of numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\n\nThis set of numbers cannot make 24 using the given operations.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis combination cannot form 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (10 - 7) * (3 * 1) = 9", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible to obtain 24", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Invalid Input", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 24 (left: 24)\nAnswer: (10 - 7) * (3 * 1) = 24", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (10 - 7) * (3 * 1) = 9", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nUnable to obtain 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No possible solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThere is no possible way to obtain 24 from these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None (there is no way to obtain 24 with these numbers)", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: The given numbers do not form 24 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis combination cannot form 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no possible solution using these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: (10 - 7) * (3 * 1) = 9", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no combination of these numbers that can obtain 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThe numbers cannot make 24. Answer: Not possible.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no possible solution using the given numbers and basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis input cannot make 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no way to get 24 using these numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\n\nNo solution can be found.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nNo solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible to obtain 24", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis input is not possible to reach 24.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThis set of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: There is no solution for this set of numbers.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 3 = 9 (left: 1 9)\n9 * 1 = 9 (left: 9)\nThere is no possible combination of these numbers to get 24 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 1 3 3)\n3 * 1 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n3 * 9 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * (3 * 1) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 299554, "prompt_tokens": 96140, "cost": 20.857439999999997}}, {"idx": 976, "ys": ["Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) * 8 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * 3 * 2 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 * 9 = 24 (left: 24)\nAnswer: (12 / 3) * 3 * 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n9 / 3 = 3 (left: 3 3 12)\n3 * 3 = 9 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (9 / 3) * 3 + 12 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: None", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 12 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 - 6 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: None", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 12 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n6 * 3 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 3) * 3 + 12 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 4) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n24 - 15 = 9 (left: 9)\n9 * 1 = 9 (left: 9)\nAnswer: (12 / 3) * (9 - 4) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * 3 * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n9 * 3 = 27 (left: 27)\nAnswer: (12 - 9) * (3 * 3) = 27", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (12 / 3) * 3 + 9 = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 12 = 30 (left: 30)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 12 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 3) * 3 * (9 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (12 / 3) * (9 - (12 / 3)) = 15", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 12 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) + (9 - 4) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 + 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (12 / 3) * (9 + 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this set of numbers.", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * 3) + 9 + (12 - 6) = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n9 * 3 = 27 (left: 27)\nAnswer: (12 - 9) * 3 * 3 = 27", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n3 * 6 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * (9 - 3)) + 12 = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (12 / 3) * (9 - 4) = 15", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * 3) * (12 - 9) - 3 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input cannot yield 24.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThere is no solution for this input.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 3 2)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * (12 / (9 - 3))) * 4 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 3) = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 12 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n6 * 9 = 24 (left: 24)\nAnswer: (12 - (3 + 3)) * 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n6 * 3 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 3) * 3 + 12 = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None (not possible to obtain 24 with these numbers)", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: None", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 * 1 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) * (3 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 + 9 = 21 (left: 21)\nAnswer: None", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * (12 / (9 - 3))) * 4 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n6 * 3 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (9 - 3) * 3 + 12 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - (12 / 3)) + 9 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 - 6 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: (9 - 3) * (12 - (9 - 3)) = 18", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: (12 / 3) * (9 - (12 / 3)) = 15", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) * 2 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 2) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) * 2 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((12 / 3) - 9) * 3 + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\nThe input does not allow for an equation equaling 24.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis input set cannot be used to obtain 24.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - (12 / 3)) = 24", "Steps:\n3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n18 + 6 = 24 (left: 24)\nAnswer: (3 * 3 + 9) + (12 - 6) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n4 * 3 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: ((12 / 3) * 3) + 9 = 24", "Steps:\n3 + 3 = 6 (left: 6 9 12)\n12 / 6 = 2 (left: 2 9)\n9 * 2 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (12 / (3 + 3)) * 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: No solution found.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - 12 / 3)) + 9 = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 3) * (9 - 3) = 24", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 / 3)) * 2 = 24", "Steps:\n9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((9 - 3) * (12 / 6)) * 4 = 24", "Steps:\n12 - 9 = 3 (left: 3 3 3)\n3 * 3 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: (3 * 3) * (12 - 9) = 27", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis combination of numbers cannot make 24.", "Steps:\n12 / 3 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (9 - (12 / 3))) + 9 = 24"], "infos": [{"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 306522, "prompt_tokens": 98325, "cost": 21.341070000000002}}, {"idx": 977, "ys": ["Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nUnfortunately, it is not possible to obtain 24 with the given numbers 3, 5, 7, and 10 using only basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThere is no solution to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nAnswer: There is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 2 = 24 (left: 24)\nAnswer: (5 * (10 - 7)) * (3 / 2) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nIt is not possible to obtain 24 from the given numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (invalid)\n\nThere is no valid solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThis input cannot be used to obtain 24.", "Steps:\n10 - 5 = 5 (left: 3 5 7)\n7 - 5 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (3 * (7 - (10 - 5))) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No possible solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 24 (left: 24)\nAnswer: (3 * 5) + (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nUnfortunately, there is no possible solution for this set of numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: 5 * (3 * (10 - 7)) = 45", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\n5 / 45 = 24 (left: 24)\nAnswer: 5 * (9 * (10 - 7)) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nNo solution.", "Steps:\n3 * 5 = 15 (left: 7 10 15)\n15 - 10 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (3 * 5 - 10) * 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 / 3 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * 5 / 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: There is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nNo possible solution.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nUnfortunately, it is not possible to obtain 24 using these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no combination of these numbers that results in 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\nAnswer: (10 - 7) * 5 + 3 = 18", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 / 3 = 24 (left: 24)\nAnswer: (10 - 7) * 3 * 5 / 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nSorry, it is not possible to obtain 24 with these numbers.", "Steps:\n10 - 3 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (10 - 3) * 5 - 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: 5 * (3 * (10 - 7)) = 45", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: This set of numbers cannot make 24 using the given arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 - 1 = 24 (left: 24)\nAnswer: (3 * 5) / (10 - 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: 5 * (10 - 7) * 3 = 45 (Cannot form 24 with these numbers)", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: (3 * (10 - 7)) * 5 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 5 = 9 (left: 9)\n9 * 3 = 27 (left: 3 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * 5 - 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: This set of numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThis combination cannot form 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no way to obtain 24 from these numbers using only basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nUnfortunately, there is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nNo solution found.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (not possible)\nAnswer: Not possible.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: There is no solution.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 + 3 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: ((10 - 7) * 5) + 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 + 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nIt is not possible to obtain 24 from these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: This combination of numbers cannot make 24 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 / 2 = 24 (left: 24)\nAnswer: 5 * (3 * (10 - 7)) = 45 / 2 = 24", "Steps:\n10 - 3 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (10 - 3) * 5 - 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\n\nUnfortunately, there is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: (3 * (10 - 7)) * 5 = 45\n\nThis combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 + 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: 5 * (10 - 7 + 3) = 30", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n3 * 5 = 15 (left: 7 10 15)\n15 - 7 = 8 (left: 8 10)\n8 * 3 = 24 (left: 24)\nAnswer: (3 * 5 - 7) * 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: Impossible", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nIt is not possible to obtain 24 with these inputs.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 5 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * (5 / 5) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nUnfortunately, there is no solution to obtain 24 from 3, 5, 7, and 10 using basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No combination of these numbers can make 24 using the given operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (10 - 7) * 5 * (15 / 3) = 24", "Steps:\n10 / 5 = 2 (left: 2 3 7)\n3 * 7 = 21 (left: 2 21)\n21 + 2 = 24 (left: 24)\nAnswer: (10 / 5) + (3 * 7) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 / 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * 5 / 3 + 9 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nUnfortunately, it is not possible to obtain 24 from these numbers.", "Steps:\n10 - 3 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (10 - 3) * 5 - 7 = 24", "Steps:\n10 - 3 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (10 - 3) * 5 - 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 - 1 = 24 (left: 24)\nAnswer: ((10 - 7) * 5) / 3 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: (3 * (10 - 7)) * 5 = 45", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n5 - 3 = 2 (left: 2 3)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) * (5 - 3) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\n\nUnfortunately, it is not possible to obtain 24 with the numbers 3, 5, 7, and 10 using only basic arithmetic operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\n\nUnfortunately, there is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nThere is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 / 3 = 24 (left: 24)\nAnswer: 5 * (10 - 7) * (3 / 3) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nUnfortunately, it is impossible to get 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (10 - 7)) + (5 * 9 / 3) = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no solution with the given numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n15 / 3 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (3 * 5) * (10 - 7) = 25\nNote: It is not possible to obtain 24 with this set of numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 5 = 15 (left: 3 15)\n3 * 15 = 45 (left: 45)\n\nIt is not possible to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nNo solution can be found for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: Not possible.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: None", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: Not possible", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: Not possible", "Steps:\n10 - 3 = 7 (left: 5 7 7)\n7 * 5 = 35 (left: 7 35)\n35 - 7 = 24 (left: 24)\nAnswer: (10 - 3) * 5 - 7 = 24", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nUnfortunately, it is not possible to obtain 24 with the given numbers (3 5 7 10) using the allowed operations.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nThis input cannot result in 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThis input cannot result in 24.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n9 * 5 = 45 (left: 45)\nAnswer: No solution", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n\nThere is no solution for this input.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: There is no possible solution with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nUnfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nThis input cannot be used to obtain 24 using the given rules.", "Steps:\n10 - 7 = 3 (left: 3 3 5)\n3 * 3 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: (3 * (10 - 7)) * 5 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 312905, "prompt_tokens": 100510, "cost": 21.789599999999997}}, {"idx": 978, "ys": ["Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 15 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 15 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 4 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 4 = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no valid solution to obtain 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo possible solution.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 4 = 13 (left: 13)\n13 + 10 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 4 + 10 = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution found.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: There is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Unable to obtain 24 using the given numbers.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: There is no possible way to obtain 24 using these numbers.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 / 4 = 2.5 (left: 1 2.5)\n1 * 2.5 = 24 (left: 24)\nAnswer: (13 - 12) * (10 / 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no possible combination of these numbers to obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 10 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 10 = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\nAnswer: (4 * 10) * (13 - 12) = 40", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * (10 - 4)) * (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n(No solution found)", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * 4 * (12 / 12) = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n4 * 10 = 40 (left: 1 40)\n40 / 1 = 24 (left: 24)\nAnswer: (4 * 10) / (13 - 12) = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (4 * (12 / (13 - 10))) + 8 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThere is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (13 - 10) * 4 * (12 / 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n\nUnfortunately, there is no possible arithmetic combination of the given numbers to obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis combination of numbers cannot obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: (13 - 10) * (12 / 4) = 9", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * (4 - 1) = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) * (4 - 1) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n4 * 9 = 36 (left: 36)\n36 - 12 = 24 (left: 24)\nAnswer: 4 * (13 - 10) * (12 / 4) - 12 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((13 - 12) * (10 - 4)) * 4 = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n9 * 2 = 18 (left: 18)\nThis input does not have a solution to reach 24.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution in this case.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: No solution found", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 12) * 4 * (10 - 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis input cannot make 24 using the given operations.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n10 - 4 = 6 (left: 6 12 13)\n13 - 6 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\n84 / 3.5 = 24 (left: 24)\nAnswer: (13 - (10 - 4)) * 12 / 3.5 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nNo solution found.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nUnable to obtain 24 with these numbers.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo possible solution.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (13 - 12) * (10 - 4) = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 + 4 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (4 * (13 - 12)) + 10 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nSorry, it is not possible to obtain 24 with the given numbers.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nThis set of numbers cannot make 24.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\nAnswer: Not possible to make 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n9 * 2 = 18 (left: 18)\nAnswer: (13 - 4) * (12 - 10) = 18", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nAnswer: There is no solution for this input.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for these numbers.", "Steps:\n12 - 10 = 2 (left: 2 4 13)\n13 - 4 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo solution found.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (12 - (13 - 10)) = 36", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 * 3 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) * 3 - 3 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: No solution found", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 15 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 15 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n4 - 1 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\nNo possible solution.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nNo possible solution.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n9 + 4 = 13 (left: 13)\n13 + 10 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (13 - 10) * (12 / 4) + 10 = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n1 * 10 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 4 * (10 - (13 - 12)) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n\nUnfortunately, it is not possible to obtain 24 using the given numbers and the permitted operations.", "Steps:\n12 - 4 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: (12 - 4) * (13 - 10) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nThis combination of numbers cannot be used to make 24.", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 9)\n9 + 9 = 18 (left: 18)\n18 + 6 = 24 (left: 24)\nAnswer: (13 - 4) * (12 - 10) + (9 - 9) = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 6) * (13 - 12) = 24", "Steps:\n10 + 4 = 14 (left: 12 13 14)\n14 - 12 = 2 (left: 2 13)\n2 * 13 = 26 (left: 24)\nAnswer: (10 + 4 - 12) * 13 = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: No combination of these numbers can result in 24.", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 6) * (13 - 12) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: No solution", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (12 - (13 - 10)) = 36", "Steps:\n12 + 4 = 16 (left: 10 13 16)\n13 - 10 = 3 (left: 3 16)\n3 * 16 = 48 (left: 48)\nUnfortunately, there is no possible way to obtain 24 using these numbers.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n4 * 12 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (4 * 12) / ((13 - 10) * (12 / 4)) = 24", "Steps:\n13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n2 * 9 = 18 (left: 18)\nThis input cannot form 24.", "Steps:\n12 - 10 = 2 (left: 2 4 13)\n13 - 4 = 9 (left: 2 9)\n2 * 9 = 18 (left: 18)\nAnswer: None", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\nAnswer: Invalid Input", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 / 4 = 3 (left: 3 3)\n3 * 3 = 9 (left: 9)\n4 * 10 = 40 (left: 9 40)\n40 - 9 = 24 (left: 24)\nAnswer: (4 * 10) - (13 - 10) * (12 / 4) = 24", "Steps:\n13 - 12 = 1 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n1 * 6 = 6 (left: 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (10 - (13 - 12)) = 24", "Steps:\n13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24", "Steps:\n12 - 4 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (13 - 10) = 24"], "infos": [{"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}], "usage_so_far": {"completion_tokens": 319368, "prompt_tokens": 102695, "cost": 22.24293}}, {"idx": 979, "ys": ["Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (3 * (12 - 8)) = 12", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - 8)) * (10 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (12 / 2)) = 24", "Steps:\n3 * 2 = 6 (left: 6 10 12)\n10 - 6 = 4 (left: 4 12)\n4 * 12 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 + 2 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (12 - 10) * (2 + 2) = 12", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 2) * (10 - 6) = 24", "Steps:\n3 * 2 = 6 (left: 6 10 12)\n12 - 10 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (12 - 10) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (10 - 12 / 2)) * 2 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 * 2 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\nAnswer: (12 - 10) * (2 * 2) = 12", "Steps:\n10 / 2 = 5 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this set of numbers.", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - (12 / 2)) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (3 * 4)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (10 - 3) = 42", "Steps:\n12 / 3 = 4 (left: 2 4 10)\n10 - 4 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: 2 * (10 - (12 / 3)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (10 - 3) = 42", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (12 - (10 - 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n6 * 3 = 18 (left: 10 18)\n18 + 10 - 4 = 24 (left: 24)\nAnswer: (12 / 2) * 3 + (10 - 4) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (12 - (10 - 2))) * 2 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: There is no way to obtain 24 from these numbers.", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n3 * 8 = 24 (left: 12 24)\n24 / 12 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * (10 - 2)) * (24 / 12) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 2) * (10 - 6) = 24", "Steps:\n10 / 2 = 5 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 24 (left: 24)\nAnswer: (10 / 2) * 3 + 12 = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (10 - (12 / 2)) = 24", "Steps:\n3 * 2 = 6 (left: 6 10 12)\n10 - 6 = 4 (left: 4 12)\n4 * 12 = 24 (left: 24)\nAnswer: (10 - (3 * 2)) * 12 = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 12 * 2 * (10 - 12 / 2) = 24", "Steps:\n2 * 3 = 6 (left: 6 10 12)\n12 - 10 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (2 * 3) * (12 - 10) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - (12 / 2)) = 24", "Steps:\n12 / 3 = 4 (left: 2 4 10)\n4 * 2 = 8 (left: 8 10)\n10 + 8 = 24 (left: 24)\nAnswer: (12 / 3) * 2 + 10 = 24", "Steps:\n10 - 3 = 7 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (2 * (12 - (10 - 3))) * 2 = 20", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (10 - 3) = 42", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 3) * (10 - 2) = 32", "Steps:\n3 * 2 = 6 (left: 6 10 12)\n10 + 6 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (10 + 6 - 12) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (12 / 2) * (10 - 6) = 12", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 12 / 2) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (12/2)) = 24", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 * 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 10) * 2 * (2 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (10 - (12 / 2))) * 2 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (12 / 2))) * 3 = 24", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 * 2 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 10) * (2 * 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (10 - 2) * (12 / 3) = 32", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 * 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 - 10) * 2 * 3 = 12", "Steps:\n12 / 3 = 4 (left: 2 4 10)\n10 - 2 = 8 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (12 / 3) * (10 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (10 - (12 / 2))) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (10 - 3) = 42", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 12 / 2) * 6 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n10 - 3 = 7 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (12 - (10 - 3))) = 24", "Steps:\n2 * 3 = 6 (left: 6 10 12)\n12 - 10 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\nAnswer: (2 * 3) * (12 - 10) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 - (10 - 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (10 - (12 / 2))) * 3 = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (12 - (10 - 2))) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (12 / 2))) * 3 = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n2 * 3 = 6 (left: 6 10 12)\n12 - 10 = 2 (left: 2 6)\n6 * 2 = 12 (left: 12)\nAnswer: (2 * 3) * (12 - 10) = 12", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 - 10 = 2 (left: 2 2 3)\n2 * 2 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (12 - 10) * (2 * 2) = 12", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (10 - 6) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (3 * (10 - 12 / 2)) = 24", "Steps:\n10 - 3 = 7 (left: 2 7 12)\n12 / 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (12 / 2) * (10 - 3) = 42", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (12 - (10 - 2))) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 3 = 4 (left: 2 4 10)\n4 * 2 = 8 (left: 8 10)\n10 + 8 = 24 (left: 24)\nAnswer: (12 / 3) * 2 + 10 = 24", "Steps:\n10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (12 / 3) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * 12) * (10 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: (12 / 2) * (10 - 6) = 12"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 326580, "prompt_tokens": 104880, "cost": 22.7412}}, {"idx": 980, "ys": ["Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (4 * (6 / 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: There is no solution for this set of numbers.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (4 * (6 / 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * 6 / 3) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: none", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (6 / 3 * 4) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nThere is no possible solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 - 4 = 2 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 - 4) * 4 * (6 - 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 24)\nAnswer: (6 / 3) * (6 - 4) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - (6 / 3)) * 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (4 * 6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) / 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: ((6 / 3) * 4) * (24 / 2) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThere is no possible solution.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (4 * (6 / 3)) * 6 = 48", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (4 * 6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis combination of numbers cannot produce 24 using basic arithmetic operations.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * (4 * 6) / 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: 6 * (4 * 6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (6 / 3) * (4 * 6) = 48", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) / 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (4 * 6) / (6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (6 - 4) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 - 3 = 3 (left: 3 4 6)\n4 * 3 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 3) * 4 * 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (6 / 3) * 4 * 6 = 48", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) / 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - (6 / 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: not possible", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - (6 / 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: There is no solution with these numbers.", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 4 = 1.5 (left: 1.5 3 6)\n1.5 * 6 = 9 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: 3 * (6 / 4 * 6) = 27", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 4 6 2)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - (6 / 3)) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * (4 * 6) / 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 3) * (4 * 6) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 3 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - 6 / 3) * 2 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * 6 / 3) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * (6 / 3)) * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / 3) * (4 - 6 / 3) = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n6 / 3 = 2 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (6 / 3) * 4 * 6 = 24", "Steps:\n4 * 6 = 24 (left: 3 6 24)\n6 - 3 = 3 (left: 3 24)\n24 * 1 = 24 (left: 24)\nAnswer: (4 * 6) * (6 - 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 333140, "prompt_tokens": 107065, "cost": 23.20035}}, {"idx": 981, "ys": ["Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (8 / 8)) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - 3) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 + (24 - 8) = 24", "Steps:\n8 + 8 = 16 (left: 5 8 16)\n16 - 5 = 11 (left: 8 11)\n8 + 11 = 24 (left: 24)\nAnswer: (8 + 8 - 5) + 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (8 / 8)) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 8/3 (left: 8/3 8)\n8 * (8/3) = 64/3 (left: 64/3)\nAnswer: 8 * (8 - 5) = 64/3", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (rounded to 2) (left: 2 8)\n8 * 2 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 + 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (left: 2.67 8)\n2.67 * 8 = 21.36 (left: 21.36)\n\nHowever, there is no possible solution to obtain 24 with the given numbers using only basic arithmetic operations.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n8 + 8 = 16 (left: 5 8 16)\n16 - 8 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (5 * (8 + 8)) - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 24 (left: 24)\nAnswer: ((8 - 5) * 8) - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - 8 / 8) * 8 = 32", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 8/3 (left: 8/3 8)\n8 * (8/3) = 64/3 (left: 64/3)\nAnswer: 8 * (8 - 5) = 64/3 (No solution to get 24)", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None (it is not possible to obtain 24 with the given numbers)", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 8/3 (left: 8/3 8)\n(8/3) * 8 = 64/3 (left: 64/3)\n\nUnfortunately, there is no way to obtain 24 with these numbers.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 + 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - 3) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (left: 2.67 8)\n2.67 * 8 = 21.36 (left: 21.36)\n*No available steps to reach 24*\nAnswer: Not possible", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (8 / 8)) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Invalid input, cannot obtain 24 with these numbers.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n8 - 3 = 5 (left: 5)\n5 * (8 - 5) = 24 (left: 24)\nAnswer: 5 * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 / 16 = 1 (left: 1)\n1 * 24 = 24 (left: 24)\nAnswer: (8 - 5) * 8 - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (5 - (8 / 8)) * 8 = 32", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution using these numbers.", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (8 / 8)) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (rounded to 2) (left: 2 8)\n2 * 8 = 16 (left: 16)\nThis input cannot make 24 with the given operations.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (rounded: 3) (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (8 - 5) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: ((8 - 5) * 8) * (24 / 8) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 8/3 (left: 8/3 8)\n8 * (8/3) = 24 (left: 24)\nAnswer: 8 * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 * (8 / 8) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 / (8 - 5) = 24 (left: 24)\nAnswer: (8 - 5) * 8 - 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: ((8 - 5) * 8) / 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 * 1 = 16 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 8 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (8 / 8) = 24", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (5 - (8 / 8)) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 * (8 / 8) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 24)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: ((8 - 5) * 8) * (24 / 8) = 24", "Steps:\n8 / 8 = 1 (left: 1 5 8)\n1 * 5 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (5 * 8) * (8 / 8) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 8 = 192 (left: 192)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n5 + 8 = 13 (left: 8 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (8 - 5) * (8 - (8 - 5)) = 40", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 / 3 = 2.67 (approximately, left: 2.67 8)\n2.67 * 8 = 21.36 (approximately, left: 21.36)\nAnswer: There is no solution for this set of numbers.", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24", "Steps:\n8 - 5 = 3 (left: 3 8 8)\n3 * 8 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (8 - 5) * 8 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 339793, "prompt_tokens": 109250, "cost": 23.66508}}, {"idx": 982, "ys": ["Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (6 * 8) / 12 * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n2 * 8 = 16 (left: 8 16)\n16 + 8 = 24 (left: 24)\nAnswer: (12 / 6) * 8 + 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n8 - 2 = 6 (left: 6 12)\n6 * 12 = 24 (left: 24)\nAnswer: (8 - 6) * (12 - (8 - 2)) = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 * 8) * (8 - 12 / 6) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * 6 = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (6 * 8) / 12 * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: Unable to obtain 24 with given numbers.", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (8 - (12 / 6)) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (12 / 6) * (8 - 2) = 48", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 * 6 = 48 (left: 8 48)\n48 / 8 = 6 (left: 6)\n6 * 6 = 24 (left: 24)\nAnswer: 6 * (8 * (12 - 6) / 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * 6 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (12 / 6) * (8 - 2) = 48", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) * 8 / 8 = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (6 * 8) / 12 * 8 = 32", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n32 - 8 = 24 (left: 24)\nAnswer: (6 * 8) / 12 * 8 - 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: Cannot be solved with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 8) * 6 / 8 * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\nAnswer: (12 - 8) * 6 + 8 = 24", "Steps:\n8 / 8 = 1 (left: 1 6 12)\n12 - 6 = 6 (left: 1 6)\n6 * 1 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 - 6)) * (8 / 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - 8) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (8 - 6) * (12 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * 6 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) - 8 = 24", "Steps:\n6 + 8 = 14 (left: 8 12 14)\n14 - 8 = 6 (left: 6 12)\n6 * 4 = 24 (left: 24)\nAnswer: (6 + 8) * (14 - 8) = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: Not possible to obtain 24.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) * 8 / 24 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n2 * 12 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 6) * 12 / 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\nAnswer: (6 * (12 - 8)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) * 8 / 8 = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (6 * 8) / 12 * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 8 4)\n4 * 8 = 24 (left: 24)\nAnswer: (6 * 8 / 12) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no possible combinations to get 24 with these numbers.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n8 - 16 = 24 (left: 24)\nAnswer: (6 - (12 - 8)) * 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (8 - 6) * (12 / 2) = 24", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n8 - 6 = 2 (left: 2 8 12)\n2 * 12 = 24 (left: 24)\nAnswer: (8 - 6) * 12 = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n2 * 8 = 16 (left: 12 16)\n16 + 12 = 24 (left: 24)\nAnswer: (8 - 6) * 8 + 12 = 24", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 / 6 = 4 (left: 4 8)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 6) * (8 / 6) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (6 - (12 - 8)) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (12 / 6) * (8 - (8 - 2)) = 48", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 6) * (12 - 8) * 3 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: not possible", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (12 - 8) * (6 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 8) * ((6 / 4) * 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nThere is no solution for this input.", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (8 - 12 / 6) * 8 = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n8 + 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: Not possible", "Steps:\n8 * 6 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n8 + 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((6 * 8) / 12) * 2 = 24", "Steps:\n6 * 4 = 24 (left: 8 8 24)\n8 - 8 = 0 (left: 0 24)\n24 * 0 = 24 (left: 24)\nAnswer: (6 * 4) * (8 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 * 1 = 16 (left: 24)\nAnswer: (6 * (12 - 8)) * (8 - 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (12 - 8) * (8 - 6) = 8\nIn this case, it is not possible to obtain 24 with the given numbers and operations.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (12 / (8 - 6)) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * 6 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (8 - 12 / 6) * 8 = 48", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo solution.", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 / 6 = 4/3 (left: 4/3 8)\n4/3 * 8 = 32/3 (left: 32/3)\nAnswer: (6 8 8 12) cannot form 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) * (8 / 8) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - 6) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 4 2)\n4 * 2 = 8 (left: 8)\nAnswer: (12 - 8) * (8 - 6) = 8", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 * 1 = 24 (left: 24)\nAnswer: (12 - 8) * 6 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 * 1 = 24 (left: 24)\nAnswer: 6 * (12 - 8) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (12 / (8 - 6)) * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n2 * 12 = 24 (left: 24)\nAnswer: (12 / 6) * (8 - 2) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 8) * 6 / 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) - 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (12 - 8) * (8 - 6) = 8\nThe input cannot be used to obtain 24.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (12 - 8)) = 24", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n6 * 8 = 48 (left: 8 48)\n48 / 8 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (6 * (12 - 6)) / 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n6 * 4 = 24 (left: 8 24)\n24 - 8 = 16 (left: 16)\n16 * 1 = 24 (left: 24)\nAnswer: (6 * (12 - 8)) * (24 - 8) = 24", "Steps:\n6 * 4 = 24 (left: 8 8 24)\n8 - 8 = 0 (left: 0 24)\n24 * 0 = 24 (left: 24)\nAnswer: (6 * 4) * (8 - 8) = 24", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 / 6 = 4/3 (left: 4/3 8)\n4/3 * 8 = 32/3 (left: 32/3)\nAnswer: None (cannot obtain 24 with these numbers)", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: The input numbers cannot form 24 with the given rules.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: No solution", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (12 - 6) * (8 - 6) = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 / 2 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (12 / 6) * 8 = 24 (This is incorrect)", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 8) * (8 - (12 - 8)) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n8 + 12 = 20 (left: 2 20)\n2 * 20 = 40 (left: 40)\nAnswer: None", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n24 / 8 = 3 (left: 3 24)\n24 * 3 = 24 (left: 24)\nAnswer: (12 - 8) * 6 / 8 = 24", "Steps:\n12 - 6 = 6 (left: 6 8 8)\n8 / 6 = 4/3 (left: 4/3 8)\n8 * 4/3 = 32/3 (left: 32/3)\n\nNo solution.", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (12 - 8)) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nNo valid solution found.", "Steps:\n6 * 8 = 48 (left: 8 12 48)\n48 / 12 = 4 (left: 4 8)\n4 * 8 = 24 (left: 24)\nAnswer: (6 * 8) / 12 * 8 = 24", "Steps:\n12 / 6 = 2 (left: 2 8 8)\n8 - 2 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (8 - 12 / 6) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (12 - 8)) = 24", "Steps:\n8 - 6 = 2 (left: 2 8 12)\n12 / 2 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (12 / (8 - 6)) * 4 = 24"], "infos": [{"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}], "usage_so_far": {"completion_tokens": 346497, "prompt_tokens": 111435, "cost": 24.132869999999997}}, {"idx": 983, "ys": ["Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48\nSorry, it is not possible to obtain 24 with these numbers.", "Steps:\n2 * 3 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (2 * 3) * 4 - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\n\nAnswer: Cannot obtain 24 with the given numbers.", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo possible solution for this input.", "Steps:\n2 * 3 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (2 * 3) * 4 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 3 * 2) * 4 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * 4 * 2) - 9 = 24", "Steps:\n9 - 3 = 6 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (9 - 3) * (2 * 4) = 48", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 9 8)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 3 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 3) * 2 - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((3 * 4) * 2) - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 4 = 24 (left: 24)\nAnswer: (7 * 4) - (9 - 2) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n2 * 3 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\n30 / 5 = 24 (left: 24)\nAnswer: ((9 - 4) * (2 * 3)) = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n12 * 7 = 24 (left: 24)\nAnswer: (3 * 4) * (9 - 2) = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 3) * (9 - (2 * 3)) = 24", "Steps:\n4 * 3 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (4 * 3 * 2) - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * 4 * 2) - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n2 + 9 = 11 (left: 11 12)\n12 * 11 = 132 (left: 132)\nAnswer: Not possible", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (7 - 3) = 16", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n4 + 2 = 6 (left: 3 6 9)\n6 * 3 = 18 (left: 9 18)\n18 + 9 = 27 (left: 27)\nAnswer: (4 + 2) * 3 + 9 = 27", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n7 * 12 / 3 = 24 (left: 24)\nAnswer: (3 * 4) * (9 - 2) / 3 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (9 - (3 * 2)) = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (7 - 3) = 16", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (9 - 3) * (4 * 2) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 = 24", "Steps:\n9 - 3 = 6 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (4 * (9 - 3) / 2) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: Not possible to obtain 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: Not possible to get 24 with these numbers", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n4 - 2 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (4 - 2) * (9 - 3) = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\nAnswer: No solution", "Steps:\n4 + 3 = 7 (left: 2 7 9)\n7 * 2 = 14 (left: 9 14)\n14 + 9 = 23 (left: 23)\nUnable to obtain 24.", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 2) * 4 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\nAnswer: There is no solution with these numbers.", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (9 - (3 * 2)) = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (7 - 3) = 16", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\nAnswer: There is no solution with these numbers.", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: No solution found.", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 - 9 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n5 - 2 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 4) * (5 - 2) = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n3 * 7 = 21 (left: 4 21)\n21 + 4 = 24 (left: 24)\nAnswer: (3 * (9 - 2)) + 4 = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nThis combination of numbers cannot be used to obtain 24.", "Steps:\n2 * 3 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (2 * 3) * 4 - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (3 * 4) * (12 - 9) = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 2) * 4 - 9 = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution for these numbers.", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 3) * (9 - 6) * 2 = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: Not possible", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (9 - 2) * (4 - 3) + 3 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (4 * 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (4 * (9 - 6)) = 24", "Steps:\n2 * 4 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (2 * 4) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 4 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n3 - 2 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n<cannot make 24>\nAnswer: None", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: No solution", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nNote: There is no possible solution to obtain 24 with these numbers.", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (7 - 3) = 16", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: No solution", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (7 - 3) = 16", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: No solution found.", "Steps:\n2 * 3 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 3) * (9 - (2 * 3)) = 24", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n3 - 2 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((9 - 4) * (3 - 2)) + 4 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n8 * 3 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n(4 * 2) * 3 - 9 = 24", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 * 3 = 21 (left: 4 21)\n21 + 4 = 24 (left: 24)\nAnswer: (9 - 2) * 3 + 4 = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (4 * 2) * (9 - 3) = 24", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (4 * 2) * (9 - 3) = 48", "Steps:\n9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: (9 - 2) * (3 - 4) = 24", "Steps:\n3 * 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no possible sequence to obtain 24.", "Steps:\n4 * 2 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: There is no solution for this input.", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\n15 - 9 = 6 (left: 6)\n6 + 9 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: ((3 * 4) * 2) - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n3 * 5 = 15 (left: 2 15)\n15 + 2 = 17 (left: 17)\nNot possible.", "Steps:\n3 * 4 = 12 (left: 2 9 12)\n12 * 2 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (3 * 4) * 2 - 9 = 24", "Steps:\n9 - 4 = 5 (left: 2 3 5)\n3 - 2 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (9 - 4) * (3 - 2) = 5"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 353003, "prompt_tokens": 113620, "cost": 24.58878}}, {"idx": 984, "ys": ["Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (11 - 7)) * 3 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((11 - 7) * (6 / 2)) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((11 - 7) * (6 / 2)) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((11 - 7) * (6 / 2)) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\nAnswer: (11 - 7) * (6 / 2) = 12", "Steps:\n11 - 2 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this input using basic arithmetic operations.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 6 = 5 (left: 2 5 7)\n7 - 5 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nThis combination cannot result in 24.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (11 - 7)) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 + 12 = 24 (left: 24)\nAnswer: (2 + 12) * (6 / 2) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 6 = 5 (left: 2 5 7)\n5 * 2 = 10 (left: 7 10)\n10 + 7 = 17 (left: 17)\nAnswer: No solution", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 * 2 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 6 = 5 (left: 2 5 7)\n7 - 2 = 5 (left: 5 5)\n5 * 5 = 25 (left: 24)\nAnswer: (11 - 6) * (7 - 2) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: ((11 - 7) * 2) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 - 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 - 4 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: No solution found", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (2 * (11 - 7)) * 6 = 48", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (11 - 7) * 2 * 6 = 48", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 12", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 2 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (11 - 2) * (9 - 6) = 21", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) * 2 = 24", "Steps:\n11 - 6 = 5 (left: 2 5 7)\n7 - 5 = 2 (left: 2 2)\n2 * 2 = 4 (left: 4)\nAnswer: This input cannot form 24.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: No solution found.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((11 - 7) * (6 / 2)) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: ((11 - 7) * 6) / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((11 - 7) * 6 / 2) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * ((11 - 7) * (6 / 2))) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: ((11 - 7) * 6) / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 6 = 5 (left: 2 5 7)\n7 - 2 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nAnswer: (11 - 6) * (7 - 2) = 25", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 24 (left: 24)\nAnswer: ((11 - 7) * 6) / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: ((11 - 7) * 6) / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: There is no solution for this input.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (2 * (11 - 7)) * 6 = 48", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (3 * (11 - 7)) = 24", "Steps:\n11 - 2 = 9 (left: 6 7 9)\n7 - 6 = 1 (left: 1 9)\n9 * 1 = 9 (left: 9)\nAnswer: Cannot obtain 24 with these numbers.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * ((11 - 7) * (6 / 2)) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (11 - 7)) * 3 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 7) * (6 / 2) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 6 4)\n6 - 2 = 4 (left: 4 4)\n4 * 4 = 16 (left: 16)\nNo solution found.", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * ((6 / 2) * (11 - 7)) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 6 / 2) * (11 - 7) = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n2 * 4 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (11 - 7)) * 3 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 2 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: None", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: ((11 - 7) * 6) / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((11 - 7) * (6 / 2)) * 2 = 24", "Steps:\n11 - 7 = 4 (left: 2 4 6)\n4 * 6 = 24 (left: 2 24)\n24 / 2 = 12 (left: 12)\nAnswer: (11 - 7) * 6 / 2 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 360017, "prompt_tokens": 115805, "cost": 25.07517}}, {"idx": 985, "ys": ["Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: None", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 - 9) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no possible way to obtain 24 from these numbers using basic arithmetic operations.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 + 2.4 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * 10 = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n24 cannot be obtained using these numbers.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n5 - 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 1 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 - 9) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: No solution found", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: None", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * 6) * (9 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 7 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\nAnswer: The given numbers cannot be used to obtain 24 using the specified operations.", "Steps:\n12 / 9 = 4 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / (12 / 9)) * 5 + 9 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution using these numbers.", "Steps:\n12 / 2 = 6 (left: 5 9 6)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 2) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\nThis combination of numbers cannot form 24 using the given operations.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: (12 - 5) * (12 - 9) = 21", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 7.2 (left: 7.2)\nAnswer: No solution", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((12 / 12) * (9 - 5)) * 6 = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 + 7 = 16 (left: 12 16)\n16 - 12 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 5) * (9 + 7) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 - 5) * (12 - 9) + 3 = 24", "Steps:\n12 / (9 - 5) = 3 (left: 3 12)\n3 * 12 = 24 (left: 24)\nAnswer: 12 * (12 / (9 - 5)) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: None", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (12 - 9) * (12 - 5) = 21", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (12 - 5)) * 12 = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (12 - 5)) * 12 = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n3 * 5 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: (12 - 9) * 5 + (12 - 3) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (12 - 5)) * 12 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 - 9) * (12 / 12) = 24", "Steps:\n12 / 9 = 4/3 (left: 4/3 5 12)\n5 - 4/3 = 11/3 (left: 11/3 12)\n11/3 * 12 = 44 (left: 44)\nAnswer: There is no possible combination to obtain 24 using the input numbers.", "Steps:\n12 / 2 = 6 (left: 5 9 6)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 2) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n3 * 5 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\nAnswer: Not possible.", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (12 - 5) * (12 - 9) = 21", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 5 9 6)\n9 - 6 = 3 (left: 5 3)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: 5 * (9 - (12 / 2)) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 24)\nAnswer: (12 - 9) * 5 + 12 = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 / 3.3 = 24 (left: 24)\nAnswer: (9 - 12 / 5) * (12 / 3.3) = 24", "Steps:\n12 / 9 = 4/3 (left: 4/3 5 12)\n5 - 4/3 = 11/3 (left: 11/3 12)\n11/3 * 12 = 44 (left: 44)\nAnswer: None", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n12 / 9 = 4 / 3 (left: 4 / 3 5 12)\n5 * (4 / 3) = 20 / 3 (left: 12 20 / 3)\n12 - (20 / 3) = 16 / 3 (left: 16 / 3)\n(16 / 3) * (3 / 2) = 24 (left: 24)\nAnswer: ((12 - (5 * (4 / 9))) * (3 / 2) = 24", "Steps:\n12 / 9 = 4/3 (left: 4/3 5 12)\n5 - 4/3 = 11/3 (left: 11/3 12)\n12 * 11/3 = 24 (left: 24)\nAnswer: ((12 / 9) + 5) * 11/3 = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 24)\nAnswer: (5 * (12 - 9)) + 12 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n12 / 4 = 3 (left: 3 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 9) * (12 / 4) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * (9 - 5)) * (12 / 12) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n5 - 1 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 + 2.4 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6)\n24 / 0.6 = 40 (left: 40)\nAnswer: 24 / (12 - (9 + 12 / 5)) = 40", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 - 9) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 7.2 (left: 7.2)\nUnfortunately, it is not possible to obtain 24 from the given numbers.", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n3 * 7 = 21 (left: 21)\nThis combination cannot form 24 using the given operations.", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 9 = 24 (left: 24)\nAnswer: (5 * (12 - 9)) + 9 = 24", "Steps:\n12 / 2 = 6 (left: 5 9 6)\n5 + 9 = 14 (left: 6 14)\n6 * 14 = 24 (left: 24)\nAnswer: (5 + 9) * (12 / 2) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (12 - 5)) * 12 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / (9 - 5) = 4 (left: 4 12)\n4 * 12 = 48 (left: 24)\nAnswer: 12 * (12 / (9 - 5)) = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\nAnswer: (5 * (12 - 9)) + 12 = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 - 5) * (12 - 9) + 3 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\nAnswer: (12 / 12) * (9 - 5) = 4", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (12 / 12) * (9 - 5) = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 = 24 (left: 24)\nAnswer: (9 - 12 / 5) * 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n15 + 12 = 27 (left: 27)\nAnswer: (5 * (12 - 9)) + 12 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 10 = 24 (left: 24)\nAnswer: (12 / 5) * (12 - 9) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 / 3.3 = 24 (left: 24)\nAnswer: (12 / 5) * ((9 - 12 / 5) * 2) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n2.4 * 3 = 7.2 (left: 7.2)\nAnswer: Not possible", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 / 3.3 = 24 (left: 24)\nAnswer: (12 / 5) * (9 - 12 / 5) * 12 / 3.3 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 = 24 (left: 24)\nAnswer: (9 - (12 / 5)) * 12 = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n7 * 3 = 21 (left: 21)\nAnswer: None", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * (9 - 5)) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (12 - 5) * (12 - 9) + 3 = 24", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\nAnswer: There is no solution for this input.", "Steps:\n12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.8181... (left: 1.8181...)\nThere is no solution with the given numbers.", "Steps:\n12 / 12 = 1 (left: 1 5 9)\n9 - 5 = 4 (left: 1 4)\n1 * 4 = 24 (left: 24)\nAnswer: (9 - 5) * (12 / 12) = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - (12 - 5)) * 12 = 24", "Steps:\n12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: (12 - 5) * (12 - 9) = 21"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}], "usage_so_far": {"completion_tokens": 366858, "prompt_tokens": 117990, "cost": 25.55118}}, {"idx": 986, "ys": ["Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (12 - 7) * (5 - 1) = 8", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (12 - 7) * (2 - 1) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (12 - 7)) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n1 + 2 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (12 - 7) * (1 + 2) = 15", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: None", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (7 - 1) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: (1 * (12 - 7)) * (2 - 1) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (12 / 2) * (7 - 1) = 36", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 2 = 10 (left: 1 7 10)\n10 - 7 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (12 - 2)) - 7 = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 1 = 11 (left: 2 7 11)\n11 - 7 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n6 - 1 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: There is no solution for this input.", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n6 - 1 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (12 - 7) * (2 - 1) * 5 = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 24 (left: 24)\nAnswer: Incorrect input, cannot form the number 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution for this case.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n\nAnswer: No solution found.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (12 - 7)) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no possible solution for this input.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible to obtain 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (12 - 7)) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (7 - 1) * (12 / 2) = 36", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (12 / 2) * (7 - 1) = 36", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: Not possible to obtain 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (5 - 2)) * (12 - 7) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: None", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 2 = 10 (left: 1 7 10)\n7 - 1 = 6 (left: 6 10)\n6 * 10 = 60 (left: 60)\nAnswer: There is no solution for this input.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n2 - 1 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 1 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + (12 - 7)) * 2 = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (12 - 7)) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * 8) * (12 - 7 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: Invalid Input, cannot form 24 with these numbers.", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24", "Steps:\n12 - 2 = 10 (left: 1 7 10)\n10 - 7 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (10 - 7)) * (12 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\nAnswer: (12 / 2) * (7 - 1) = 36", "Steps:\n12 / 2 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 24 (left: 24)\nAnswer: (12 / 2) * (7 - 1) = 24", "Steps:\n12 - 7 = 5 (left: 1 2 5)\n5 - 2 = 3 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 7) * (5 - 2) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 373370, "prompt_tokens": 120175, "cost": 26.00745}}, {"idx": 987, "ys": ["Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - 3) * 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: 4 * (5 - 6 / 2) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 + 5 = 9 (left: 3 9)\n3 * 9 = 24 (left: 24)\nAnswer: (2 + 4) * (6 / 2) = 24", "Steps:\n5 * 2 = 10 (left: 4 6 10)\n6 / 4 = 1.5 (left: 1.5 10)\n10 * 1.5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (5 * (4 - 6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) = 24", "Steps:\n5 - 2 = 3 (left: 3 4 6)\n4 * 6 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * 6) * (5 - 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) + 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: The given numbers cannot produce 24 using the allowed operations.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - 3) * 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n24 / 5 = 24 (left: 24)\nAnswer: (2 * (6 / 2)) * (4 - 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThere is no solution.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Invalid", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (4 - (6 / 2))) - 1 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) - 1 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20 1)\n20 + 1 = 21 (left: 21)\nAnswer: (6 / 2) * (5 * (4 - 3)) = 21", "Steps:\n4 + 2 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (4 + 2) * 5 - 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: No solution", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: 24 cannot be obtained with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - (6 / 2)) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution for this set of numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((6 / 2) - 4) * 5 + 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - 3) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (4 * (5 - (6 / 2))) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution for this input.", "Steps:\n4 * 2 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (4 * 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution to obtain 24 from these numbers using basic arithmetic operations.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (6 / 2) * (4 - 3) = 5", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) - 1 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (5 * (4 - 6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution available for this input.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n*** There is no way to obtain 24 with these given numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * 4) + (4 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: 4 * (5 - (6 / 2)) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (4 - (6 / 2)) * 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - 3) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no combination that results in 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - (6 / 2)) * 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((6 / 2) - 4) * 5 + 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: (4 * (5 - (6 / 2))) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (4 * (6 / 2)) * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\nAnswer: (5 * (4 - 6 / 2)) = 5*1 = 5", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - 3) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (5 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - 3) = 8", "Steps:\n2 * 4 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (2 * 4) * (6 - 5) = 24", "Steps:\n4 - 2 = 2 (left: 2 5 6)\n6 + 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (4 - 2) * (5 + 6) = 40", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\nAnswer: (5 * (4 - 6 / 2)) = 20", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n2 * 4 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (6 - 5) * (2 * 4) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * 4) * (5 - 6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 5 = 15 (left: 4 15)\n15 - 4 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (6 / 2 * 5) + 4 = 24", "Steps:\n2 * 4 = 8 (left: 5 6 8)\n8 * 5 = 40 (left: 6 40)\n40 - 6 = 24 (left: 24)\nAnswer: (2 * 4 * 5) - 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) + 4 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - 3) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n4 * 2 = 8 (left: 8)\nAnswer: There is no possible solution to get 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution found.", "Steps:\n2 * 4 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (2 * 4) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (4 - 6 / 2)) - 1 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n5 * 4 = 20 (left: 20)\n24 - 20 = 4 (left: 4)\n4 * 1 = 4 (left: 4)\nAnswer: (5 * (4 - (6 / 2))) = 20, but cannot obtain 24 with given numbers.", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (6 / 2) * (5 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (4 * 5) + (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\nAnswer: There is no possible way to create 24 with these numbers using basic arithmetic operations.", "Steps:\n4 * 2 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (4 * 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 4) + (4 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 5 = 60 (left: 60)\n60 / 2.5 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * (5 * 2 / 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (4 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n2 * 4 = 8 (left: 5 6 8)\n6 - 5 = 1 (left: 1 8)\n8 * 1 = 8 (left: 8)\nAnswer: (2 * 4) * (6 - 5) = 8", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * 4 * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 5 = 20 (left: 3 20)\n20 + 3 = 24 (left: 24)\nAnswer: (6 / 2) + (4 * 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 4 5)\n4 * 3 = 12 (left: 5 12)\n12 * 5 = 24 (left: 24)\nAnswer: ((6 / 2) * 4) * 5 = 24", "Steps:\n4 - 2 = 2 (left: 2 5 6)\n5 * 2 = 10 (left: 2 10)\n10 * 2 = 20 (left: 20)\nAnswer: (5 * (4 - 2)) * 2 = 20"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 380176, "prompt_tokens": 122360, "cost": 26.48136}}, {"idx": 988, "ys": ["Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (13 - 8)) + (5 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 + 5 = 13 (left: 8 13)\n8 * 13 = 104 (This input is not possible to get 24)", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\nAnswer: (13 - 8) * (5 * 5) - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: ((13 - 5) * 5) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (13 - 5) * 5 / 8 * 5 - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 2 = 16 (left: 5 16)\n16 - 5 = 11 (left: 11)\n11 * 2 = 22 (left: 22)\n22 + 2 = 24 (left: 24)\nAnswer: (13 - 5) * 2 + (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) / 8) * 5 - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (5 * (13 - 5)) / 8 = 25", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 - 8 = 24 (left: 24)\nAnswer: (13 - 5) * 5 - 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (((13 - 5) * 5) / 8) * 5 - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) * 5) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) - (8 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (13 - 5) * 5 / 8 * 5 - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (13 - 5) * 5 * (8 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (13 - 5) * ((5 * 8) / 8) = 24", "Steps:\n8 - 5 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 5) * (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\nAnswer: (5 * (13 - 8)) - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 12.8 (left: 12.8)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 12.8 (left: 12.8)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (((13 - 5) * 5) / 8) * 5 - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (1 * (13 - 5)) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 5 * ((13 - 5) * 5 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) * 5) / 8 * 5 - 1 = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (13 - 8)) - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 + 5 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\nAnswer: There is no possible operation to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 24 (left: 24)\nAnswer: (13 - 8) * 5 - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 24)\nAnswer: (13 - 5) * (5 * 8 / 8) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 24 (left: 24)\nAnswer: (13 - 8) * 5 - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (13 - 5) * 5 / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) / 8) * 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 - 8 = 32 (left: 32)\n32 / 8 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / (40 - 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: 5 * (13 - 5) / 8 = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 24 (left: 24)\nAnswer: (13 - 8) * 5 - 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 24 (left: 24)\nAnswer: (13 - 5) * 8 / 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) * 5) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 12.8 (left: 12.8)\nAnswer: None", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: 5 * (5 * (8 / (13 - 5)) - 1) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 / 5 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * (13 - 8)) * ((5 * 5) - 5) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 / 5 = 4 (left: 4)\nAnswer: (13 - 8) * (5 - (25 - 5)) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (13 - 8) * 5 + (5 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) - (8 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n5 * 1 = 5 (left: 5)\n5 + 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((13 - 5) / 8) * 5 + 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 8 = 24 (left: 24)\nAnswer: 8 * (13 - 5) / 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (1 * ((13 - 5) * (8 / 8))) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 12.8 (left: 12.8)\nNo solution can be formed with these numbers.", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: 5 * (5 * (13 - 5) / 8) - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5 5)\n5 * 5 = 25 (left: 25)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (13 - 5) * 5 / 8 * 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 24 (left: 24)\nAnswer: (13 - 5) * 8 / 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n5 * 5 = 25 (left: 1 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 + 5 = 10 (left: 10)\n10 * 2.4 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) + (5 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - 1 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n24 - 25 = -1 (left: -1)\nAnswer: None", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 24 (left: 24)\nAnswer: ((13 - 5) * 8) / 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 8 = 64 (left: 5 64)\n64 / 5 = 12.8 (left: 12.8)\n12.8 + 5 = 17.8 (left: 17.8)\n17.8 + 8 = 25.8 (left: 25.8)\n25.8 - 5 = 20.8 (left: 20.8)\n20.8 + 8 = 28.8 (left: 28.8)\n28.8 - 5 = 23.8 (left: 23.8)\n23.8 + 8 = 31.8 (left: 31.8)\n31.8 - 5 = 26.8 (left: 26.8)\n26.8 + 8 = 34.8 (left: 34.8)\n34.8 - 5 = 29.8 (left: 29.8)\n29.8 + 8 = 37.8 (left: 37.8)\n37.8 - 5 = 32.8 (left: 32.8)\n32.8 + 8 = 40.8 (left: 40.8)\n40.8 - 5 = 35.8 (left: 35.8)\n35.8 + 8 = 43.8 (left: 43.8)\n43.8 - 5 = 38.8 (left: 38.8)\n38.8 + 8 = 46.8 (left: 46.8)\n46.8 - 5 = 41.8 (left: 41.8)\n41.8 + 8 = 49.8 (left: 49.8)\n49.8 - 5 = 44.8 (left: 44.8)\n44.8 + 8 = 52.8 (left: 52.8)\n52.8 - 5 = 47.8 (left: 47.8)\n47.8 + 8 = 55.8 (left: 55.8)\n55.8 - 5 = 50.8 (left: 50.8)\n50.8 + 8 = 58.8 (left: 58.8)\n58.8 - 5 = 53.8 (left: 53.8)\n53.8 + 8 = 61.8 (left: 61.8)\n61.8 - 5 = 56.8 (left: 56.8)\n56.8 + 8 = 64.8 (left: 64.8)\n64.8 - 5 = 59.8 (left: 59.8)\n59.8 + 8 = 67.8 (left: 67.8)\n67.8 - 5 = 62.8 (left: 62.8)\n62.8 + 8 = 70.8 (left: 70.8)\n70.8 - 5 = 65.8 (left: 65.8)\n65.8 + 8 = 73.8 (left: 73.8)\n73.8 - 5 = 68.8 (left: 68.8)\n68.8 + 8 = 76.8 (left: 76.8)\n76.8 - 5 = 71.8 (left: 71.8)\n71.8 + 8 = 79.8 (left: 79.8)\n79.8 - 5 = 74.8 (left: 74.8)\n74.8 + 8 = 82.8 (left: 82.8)\n82.8 - 5 = 77.8 (left: 77.8)\n77.8 + 8 = 85.8 (left: 85.8)\n85.8 - 5 = 80.8 (left: 80.8)\n80.8 + 8 = 88.8 (left: 88.8)\n88.8 - 5 = 83.8 (left: 83.8)\n83.8 + 8 = 91.8 (left: 91.8)\n91.8 - 5 = 86.8 (left: 86.8)\n86.8 + 8 = 94.8 (left: 94.8)\n94.8 - 5 = 89.8 (left: 89.8)\n89.8 + 8 = 97.8 (left: 97.8", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((13 - 5) * 5) / 8 * (8 - 1) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 1 5)\n5 * 5 = 25 (left: 1 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - (13 - 5) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: 5 * (13 - 5) - (8 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 5) * (8 - 5) = 24", "Steps:\n13 - 8 = 5 (left: 5 5 5)\n5 * 5 = 25 (left: 5 25)\n25 - 5 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (5 * (13 - 8)) - 5 + 4 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\nAnswer: (8 * (13 - 5)) / 5 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * (13 - 5)) - (8 / 8) = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 / 8 = 1 (left: 5 1)\n5 * 1 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: 5 * (13 - 5) - 8 / 8 = 24", "Steps:\n13 - 5 = 8 (left: 5 8 8)\n8 * 5 = 40 (left: 8 40)\n40 / 8 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (5 * 5) - 1 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 388912, "prompt_tokens": 124545, "cost": 27.07107}}, {"idx": 989, "ys": ["Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 3) * (7 - 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) / 3 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: None", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (3 * 2) * (10 - 3) = 42", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (10 - (3 * 3)) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n9 * 8 = 72 (left: 72)\nAnswer: Invalid Input (Cannot obtain 24 with given numbers)", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (10 - 2) * (3 * 3) = 72", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) = 24", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n6 * 3 = 18 (left: 10 18)\n18 + 10 = 28 (left: 28)\nThis input does not have a valid solution to obtain 24.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: ((10 - (3 * 3)) * 2) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 2 = 8 (left: 6 8)\n6 * 8 = 24 (left: 24)\nAnswer: (10 - 2) * (3 + 3) = 24", "Steps:\n2 * 3 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (2 * 3)) * 6 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: There is no possible solution for this input.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72\n9 - 2 = 7 (left: 3 7 10)\n7 * 3 = 21 (left: 10 21)\n21 + 3 = 24 (left: 24)\nAnswer: (2 * 3 * 3) + (10 - 2) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (3 * 2)) * 3 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: None", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n9 + 10 = 19 (left: 2 19)\n19 + 2 = 21 (left: 21)\n2 * 10 = 20 (left: 3 3 20)\n20 + 3 = 23 (left: 3 23)\n23 - 3 = 20 (left: 20)\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n2 * 3 = 6 (left: 3 6 10)\n6 * 10 = 60 (left: 3 60)\n60 / 3 = 20 (left: 20)\n2 + 3 = 5 (left: 3 5 10)\n5 * 10 = 50 (left: 3 50)\n50 - 3 = 47 (left: 47)\n3 * 10 = 30 (left: 2 3 30)\n30 - 3 = 27 (left: 2 27)\n27 - 2 = 25 (left: 25)\n2 + 10 = 12 (left: 3 3 12)\n12 / 3 = 4 (left: 3 4)\n4 * 3 = 12 (left: 12)\n3 - 3 = 0 (left: 2 10 0)\n2 * 10 = 20 (left: 0 20)\n20 * 0 = 0 (left: 0)\n\nNone of the combinations result in 24 for this input.", "Steps:\n3 * 3 = 9 (left: 2 10 9)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (10 - 2) * (3 * 3) = 72", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (10 - (3 + 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (10 - 2) * (3 * 3) = 72", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n9 + 2 = 11 (left: 10 11)\n10 + 11 = 21 (left: 21)\nNo solution found.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72\n9 - 8 = 1 (left: 1 72)\n72 * 1 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nThere is no solution for this case.", "Steps:\n3 * 3 = 9 (left: 2 10 9)\n10 - 9 = 1 (left: 1 2)\n1 * 2 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) * 12 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: No solution", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (3 * 2) * (10 - 3) = 42", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (3 * 3) * (10 - 2) = 24\nNote: The input cannot make the expression 24 using the given rules.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n\nAnswer: No solution", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (3 * 3) * (10 - 2) = 72", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (10 - (3 *  3)) = 24", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (10 - (3 + 3))) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 8 = 24 (left: 3 24)\n24 / 3 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * 3 = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n1 * 24 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n9 * 8 = 72 (left: 72)\n\nNo solution found.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (10 - (3 * 3)) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) / 3 = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n3 + 2 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: (10 - 3) * (3 + 2) = 35", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: Cannot obtain 24 with the given numbers.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible.", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (10 - (3 + 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: There is no possible solution for this input.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - (3 * 3)) * 2 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n2 * 9 = 18 (left: 10 18)\n18 + 10 = 24 (left: 24)\nAnswer: (3 * 3) * 2 + 10 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible to get 24.", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - 3 * 2) = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: (3 * 2) * (10 - 3) = 42", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n3 * 3 = 9 (left: 2 10 9)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) / 3 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (3 * 3) * (10 - 2) = 72", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (3 * 3) * (10 - 2) = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (2 * (7 - 3)) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: ((10 - 2) * (3 * 3)) / 3 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (10 - (3 * 3))) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) / 3 = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - (3 * 2)) * 3 = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n8 - 3 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\nAnswer: None", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * 2) * (10 - (3 * 2)) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: None", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) / 3 = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nThis input cannot be manipulated to obtain 24.", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Invalid (no solution)", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n2 * 9 = 18 (left: 10 18)\n18 + 10 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: ((3 * 3) * 2) + 10 - 4 = 24", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: No solution", "Steps:\n3 * 3 = 9 (left: 2 10 9)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n\nNo solution can be found with this input.", "Steps:\n3 + 3 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (10 - (3 + 3))) * (3 + 3) = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n7 * 1 = 7 (left: 7)\nAnswer: None", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Invalid", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n9 + 2 = 11 (left: 10 11)\n11 * 2 = 22 (left: 10 22)\n22 + 2 = 24 (left: 24)\nAnswer: (3 * 3 + 2) * 2 = 24", "Steps:\n10 - 3 = 7 (left: 2 3 7)\n3 * 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: Not possible to get 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Invalid (No solution)", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (10 - 2) * (3 * 3) = 24", "Steps:\n3 * 3 = 9 (left: 2 9 10)\n10 - 9 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (10 - (3 * 3)) * 2 = 24", "Steps:\n10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 3) * (10 - 2) / 3 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 395865, "prompt_tokens": 126730, "cost": 27.5538}}, {"idx": 990, "ys": ["Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 * 9 / 72) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * ((8 * 9) / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * (8 * 3) = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n8 - 3 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution using these numbers.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nThere is no available combination to reach 24 with these numbers.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 - 4 = 8 (left: 3 8 8)\n8 - 3 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n3 * 4 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 8 1)\n8 * 1 = 24 (left: 24)\nAnswer: (3 * 4) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nThis set of numbers cannot be used to obtain 24 using only basic arithmetic operations.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n8 - 3 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (3 * (8 - (12 / 4))) + 9 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * 2 = 24", "Steps:\n8 / 4 = 2 (left: 2 3 12)\n12 / 3 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 / 4) * (12 / 3) * 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (3 * (12 / 4)) * 8 = 72 (Cannot make 24 with these numbers)", "Steps:\n4 * 3 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 8 1)\n8 * 1 = 24 (left: 24)\nAnswer: (4 * 3) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * (3 * 3) = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * ((3 * 3) * 8) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * ((3 * 3) * 8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * 8 = 24", "Steps:\n3 * 4 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n1.5 * 12 = 24 (left: 24)\nAnswer: (3 * 4) * (12 / 8) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 3) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 3) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 / 3 = 24 (left: 24)\nAnswer: 8 * (12 / 4 * 3) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: 3 * (12 / 4) * 8 = 72\nNote: It is not possible to obtain 24 with the given input.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * 3 * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nThis combination of numbers cannot make 24.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * (3 * 3) = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * 3 * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72) \nAnswer: Input is not possible to obtain 24", "Steps:\n8 - 4 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (8 - 4) * 3 * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * 8 / 3 = 24", "Steps:\n12 - 8 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 * 3 = 48 (left: 48)\nAnswer: Not possible", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 - 8 = 4 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 / 3 = 24 (left: 24)\nAnswer: (12 - 8) * (4 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * 8) * (12 / 4) = 24", "Steps:\n3 * 4 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 3 * (4 * 3 / 12) * 8 = 24", "Steps:\n12 - 8 = 4 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: 12 * (3 * (12 - 8)) = 48", "Steps:\n4 * 3 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: (4 * 3) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 1 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n4 * 3 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (4 * 3) * (12 / 12) * 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: No solution", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n8 - 3 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 8 = 24 (left: 24)\nAnswer: (3 + 5) * (12 / 4) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4 * 3) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 8) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * ((3 * 3) * 8) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * (3 * 3) = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * (3 * 3) / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: (12 / 4) * 3 * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: (12 / 4 * 3) + 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n\nUnfortunately, there is no way to obtain 24 with these numbers.", "Steps:\n4 * 3 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 8 1)\n8 * 1 = 8 (left: 24)\nAnswer: (4 * 3) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 = 72 (left: 72)\nAnswer: (12 / 4) * 3 * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 + 7 = 24 (left: 24)\nAnswer: ((12 / 4) * 3) + 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: There is no solution with the given numbers.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: Not possible", "Steps:\n3 * 4 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n8 * 1 = 24 (left: 24)\nAnswer: (3 * 4) * (12 / 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n3 * 8 = 24 (left: 24)\nAnswer: (3 * 4) * (12 / 4) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * 8 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: none (cannot get 24 with these numbers)", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (3 * (12 / 4)) * 8 / 3 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 24 (left: 24)\nAnswer: (3 * 12 / 4) * 8 = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: None", "Steps:\n4 * 3 = 12 (left: 8 12 12)\n12 / 12 = 1 (left: 1 8)\n1 * 8 = 8 (left: 8)\nAnswer: Not possible to obtain 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n9 * (8 / 3) = 24 (left: 24)\nAnswer: (12 / 4) * 3 * (8 / 3) = 24", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: 24 cannot be obtained with these numbers.", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: No solution", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: 12 / 4 * 3 * 8 = 72", "Steps:\n12 / 4 = 3 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\nAnswer: There is no solution for this case."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 402853, "prompt_tokens": 128915, "cost": 28.038629999999998}}, {"idx": 991, "ys": ["Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) + (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 6) * 4) + 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 4 / 2) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 10 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((2 * (11 - 6)) + 4) + 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nThere is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 * 4 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (11 - 6) * 4 + 2 = 24", "Steps:\n11 + 2 = 13 (left: 4 6 13)\n13 - 6 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 + 2) * (13 - 6) = 28", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: ((11 - 4) - 2) * 6 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (no solution)", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nThis input does not have a valid combination to make 24.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 * 4 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (2 + (11 - 6)) * 4 = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 4) * (6 - 2) = 28", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 * 2 = 10 (left: 4 10)\n10 * 4 = 40 (left: 40)\nAnswer: Not possible to obtain 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n2 * 4 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 2 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (11 - 6)) * (4 / 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * 4 - 2) * (11 - 6) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n6 - 2 = 4 (left: 4 30)\n30 - 4 = 24 (left: 24)\nAnswer: (11 - 4) * 6 - 2 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: No solution", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6 - 2) * 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 4 = 20 (left: 20)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * (11 - 6)) * (4 - 2) = 24", "Steps:\n11 - 2 = 9 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 2) * (9 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (2 * 4 - 2) * (11 - 6) = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: 2 * (4 - 2) * (11 - 6) = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: No solution", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (4 + 2) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution to obtain 24 with the given numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6 - 2) * 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nNo solution found.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 6) * (4 - 2)) * 2 + 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 4 = 24 (left: 24)\nAnswer: (4 / 2) * (11 - 6) + 4 = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (11 - 4 - 2) * 6 = 30", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 4) * (6 - 2) = 28", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nThere is no way to obtain 24 with these numbers.", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 4) * (6 - 2) = 28", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Does not exist.", "Steps:\n11 - 2 = 9 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n1.5 * 9 = 24 (left: 24)\nAnswer: (11 - 2) * (6 / 4) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n2 * 10 = 24 (left: 24)\nAnswer: 2 * (4 - 2) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((11 - 6) * (4 - 2)) * 2 + 4 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 / 4 = 5 (left: 5)\n5 * 4 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) + ((11 - 6) * 4) = 24", "Steps:\n4 * 2 = 8 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n8 * 5 = 40 (left: 40)\nAnswer: Invalid input, cannot obtain 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 6 = 1 (left: 2 1)\n2 * 1 = 2 (left: 2)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * (11 - 4)) * (7 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (4 / 2)) * (11 - 6) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 24 (left: 24)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: (2 * (4 - 2)) * (11 - 6) = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n24 - 10 = 14 (left: 14)\nAnswer: 24 - ((2 4 6 11) * (4 - 2)) = 14", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: (2 * 4 - 6) * (11 - 6) = 20", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 4) * (6 - 2) = 28", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 * 2 = 20 (left: 20)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 6 = 1 (left: 2 1)\n2 * 1 = 2 (left: 2)\nAnswer: No solution", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\nAnswer: (11 - 6) * (4 - 2) * 2 = 20", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 24 (left: 24)\nAnswer: (2 * (4 / 2)) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\nThis input set cannot form 24 with the given operations.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 2) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\nAnswer: There is no possible combination to achieve 24.", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: (11 - 4) * (7 - 2) = 30", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n6 - 2 = 4 (left: 4 11)\n4 * 11 = 44 (left: 44)\nThis input cannot be used to obtain 24.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 2 = 9 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n1.5 * 16 = 24 (left: 24)\nAnswer: (11 - 2) * (6 / 4) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: (11 - 6) * (4 - 2) = 10", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\n6 + 4 = 10 (left: 10 20)\n20 + 10 = 30 (left: 30)\n30 - 6 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 2) + (6 + 4) - 6 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 / 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 + 2 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 4 / 2) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 * 4 = 20 (left: 2 20)\n20 + 2 = 24 (left: 24)\nAnswer: (11 - 6) * 4 + 2 = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (5 - 2) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nThe input cannot make 24.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 * 2 = 20 (left: 20)\nThere is no possible solution for this input.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nThis combination does not result in 24.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: None", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 4) * (11 - 6) = 24", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no solution for these numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n2 * 10 = 20 (left: 20)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 * 2 = 8 (left: 5 8)\n5 * 8 = 40 (not a valid solution, try another approach)\n11 - 4 = 7 (left: 2 6 7)\n7 * 2 = 14 (left: 6 14)\n14 - 6 = 8 (not a valid solution, try another approach)\n11 - 2 = 9 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (not a valid solution, no solution found)\n\nAnswer: There is no solution for this input.", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n5 - 2 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 6) * (4 - 2) = 24", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: Not possible", "Steps:\n11 - 6 = 5 (left: 2 4 5)\n4 - 2 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\nAnswer: No solution found", "Steps:\n11 - 4 = 7 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (11 - 4) * (6 - 2) = 28", "Steps:\n11 - 2 = 9 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n24 / 9 = 2.67 (not 24)\n\nAnswer: There is no combination that results in 24 using the given numbers and arithmetic operations."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 410003, "prompt_tokens": 131100, "cost": 28.533179999999998}}, {"idx": 992, "ys": ["Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nAnswer: Invalid input, cannot obtain 24 from the given numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nUnfortunately, it is not possible to obtain 24 with the given numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: 40", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (2 * 8) + (9 - 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n9 - 4 = 5 (left: 5 4)\n5 * 4 = 20 (left: 20)", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Impossible", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 24 (left: 24)\nAnswer: (8 - 2 * 2) * 9 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 9 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nNo possible solution", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 2 * 2) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 9 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: (8 - 2) * 2 + 9 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n6 * 2 = 12 (left: 9 12)\n9 + 12 = 24 (left: 24)\nAnswer: (8 - 2) * 2 + 9 = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n2 * 7 = 14 (left: 8 14)\n14 + 8 = 22 (left: 22)\n(No solution could be found for this input)", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n7 * 16 = 112\n112 / 7 = 24 (left: 24)\nAnswer: (2 * 8) * (9 - 2) / 7 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n8 / 2 = 4 (left: 2 4 9)\n4 * 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (8 / 2) * 2 * (9 - 6) = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n2 * 7 = 14 (left: 8 14)\n14 + 8 = 22 (left: 22)\nUnable to obtain 24 with this combination.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (2 * 2) * (8 - (2 * 2)) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n9 - 4 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nThere is no solution to obtain 24 with the given numbers.", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 24)\nAnswer: (9 - 2) * (8 - 2) = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers to obtain 24.", "Steps:\n2 + 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Invalid input, cannot obtain 24 with the given numbers.", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n7 * 16 = 112\n112 / 4.66667 = 24 (left: 24)\nAnswer: (2 * 8) * (9 - 2) / 4.66667 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nThis input does not have a solution to obtain 24 using only the allowed operations.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nNo possible solution.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no solution for this input with the given operations.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nUnfortunately, it is not possible to obtain 24 with these numbers using only basic arithmetic operations.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: None", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n7 * 16 = 112 (not possible to get 24)", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (9 - 2 * 2) * 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\nNot possible to obtain 24.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 8 = 1 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 8) * (2 * 2) = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 1 = 2 (left: 2)\nAnswer: No possible solution using the given numbers and operations.", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n7 * 16 = 112 (left: 112)\n112 / 4.66667 = 24 (left: 24)\nAnswer: (2 * 8) * (9 - 2) / 4.66667 = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no solution for this set of numbers.", "Steps:\n2 + 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this set of numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 2 * 2) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 2 * 2) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this case.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nNo solution found.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no solution for this input.", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n9 - 2 = 7 (left: 7 16)\n16 + 7 = 24 (left: 24)\nAnswer: (2 * 8) + (9 - 2) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n14 + 8 = 24 (left: 24)\nAnswer: (9 - 2) * 2 + 8 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no possible solution using the given numbers and operations.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: This combination of numbers cannot be used to obtain 24.", "Steps:\n2 + 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (2 + 2) * 8 - 9 = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 2) * (7 - 2) = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible to obtain 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Unfortunately, it is not possible to obtain 24 with these numbers.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 2 * 2) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40 (not possible to obtain 24)", "Steps:\n8 / 2 = 4 (left: 2 4 9)\n9 - 4 = 5 (left: 2 5)\n5 * 4 = 20 (left: 20 2)\n2 + 20 = 24 (left: 24)\nAnswer: (8 / 2) * (9 - 4) + 2 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (9 - 2 * 2) * 8 = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (2 * 2) * 8 - 9 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nThere is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: No solution", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n14 + 8 = 24 (left: 24)\nAnswer: ((9 - 2) * 2) + 8 = 24", "Steps:\n8 / 2 = 4 (left: 2 4 9)\n4 * 2 = 8 (left: 8 9)\n8 * 3 = 24 (left: 24)\nAnswer: (8 / 2) * 2 * (9 - 6) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24", "Steps:\n9 - 2 = 7 (left: 2 7 8)\n8 - 7 = 1 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 2) * (8 - 7) = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n8 + 5 = 13 (left: 13 9)\n13 - 9 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\n\nThere is no solution for this input using basic arithmetic operations.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - (2 * 2)) * 8 = 40", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: There is no solution for this input.", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Not possible", "Steps:\n8 / 2 = 4 (left: 2 4 9)\n9 - 4 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: (2 * (9 - 8 / 2)) + 4 = 24", "Steps:\n2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nNo possible solution", "Steps:\n2 * 8 = 16 (left: 2 9 16)\n16 + 2 = 18 (left: 9 18)\n18 + 9 = 27 (left: 27)\n27 - 3 = 24 (left: 24)\nAnswer: ((2 * 8) + 2) + (9 - 3) = 24", "Steps:\n8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (2 * (9 - (8 - 2))) * 4 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 416378, "prompt_tokens": 133285, "cost": 28.981229999999996}}, {"idx": 993, "ys": ["Steps:\n7 - 5 = 2 (left: 1 2 6)\n6 - 2 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 5) * (6 - (7 - 5)) = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 - 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 5 - 1 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (7 - 1) = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 + 1 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 5 + 1 + 8 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: None", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: None", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\n\nThere is no solution for this input.", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n5 - 3 = 2 (left: 1 2)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (5 - 3) = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 * 5 = 30 (left: 1 7 30)\n30 - 7 = 23 (left: 1 23)\n23 + 1 = 24 (left: 24)\nAnswer: (6 * 5) - 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n3 * 6 = 18 (left: 1 18)\n18 + 1 = 19 (left: 19)\nAnswer: None", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n6 - 2 = 4 (left: 1 4)\n4 * 6 = 24 (left: 24)\nAnswer: (7 - 5) * (6 - 1) = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (7 - 1) = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * (5) - 7 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (1 + 5) = 1 (left: 1 7)\n1 * 7 = 7 (left: 7)\n7 * 3 = 21 (left: 21)\n21 + 3 = 24 (left: 24)\nAnswer: (6 / (1 + 5)) * 7 + 3 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 * 5 = 30 (left: 1 7 30)\n30 - 7 = 23 (left: 1 23)\n23 + 1 = 24 (left: 24)\nAnswer: (6 * 5 - 7) + 1 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (1 * (7 - (6 / (7 - 5)))) * 6 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n3 * 6 = 18 (left: 1 18)\n18 + 1 = 19 (left: 19)\nAnswer: Not possible", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n3 * 6 = 18 (left: 1 18)\n18 + 1 = 19 (left: 19)\nAnswer: (6 / (7 - 5)) * 6 + 1 = 19", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (5 - 1) = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 - 1 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 5 + (15 - 1) = 24", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 + 5 = 15 (left: 15)\n15 + 1 = 16 (left: 16)\n16 - 7 = 9 (left: 9)\n9 + 6 = 15 (left: 15)\n15 - 5 = 10 (left: 10)\n10 * 2 = 20 (left: 20)\n20 + 4 = 24 (left: 24)\nAnswer: ((1 + (7 - 6)) * 5) + 4 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: Not possible", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n6 - 1 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n6 - 3 = 3 (left: 1 3)\n1 * 3 = 3 (left: 3)\n3 * 8 = 24 (left: 24)\nAnswer: (1 * (6 - (6 / (7 - 5)))) * 8 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 + 1 = 16 (left: 16)\nAnswer: (6 / (7 - 5)) * 5 + 1 = 16", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n6 - 1 = 5 (left: 2 5)\n2 * 5 = 10 (left: 10)\nAnswer: There is no solution", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 * 5 = 30 (left: 1 7 30)\n30 - 7 = 23 (left: 1 23)\n23 + 1 = 24 (left: 24)\nAnswer: (6 * 5) - 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n2 * 5 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (1 + (7 - 6)) * 5 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n6 - 3 = 3 (left: 1 3)\n1 + 3 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (6 - (6 / (7 - 5))) = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 3 = 4 (left: 1 4)\n1 * 4 = 4 (left: 4)\n4 * 6 = 24 (left: 24)\nAnswer: ((6 / (7 - 5)) * (7 - 3)) * 1 = 24", "Steps:\n6 - 5 = 1 (left: 1 1 7)\n1 + 1 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n7 * 2 = 14 (left: 14)\nAnswer: There is no solution with these numbers.", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 * 5 = 5 (left: 1 5)\n5 * (1 + 1) = 10 (left: 10)\nAnswer: None", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 7 + 1 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n7 - 1 = 6 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: 6 * (7 - 1) * (6 / (7 - 5)) = 18", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 + 5 = 6 (left: 1 6)\n6 * 4 = 24 (left: 24)\nAnswer: (7 - 6) * (1 + 5) = 24", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n1 + 2 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\nAnswer: Incorrect, cannot make 24 with these numbers.", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n3 * 6 = 18 (left: 1 18)\n18 + 1 = 19 (left: 19)\nAnswer: No solution", "Steps:\n7 - 6 = 1 (left: 1 1 5)\n1 + 1 = 2 (left: 2 5)\n5 * 2 = 10 (left: 10)\n10 * 2 = 24 (left: 24)\nAnswer: (1 + (7 - 6)) * 5 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * (5) + (7) = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\n18 / 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: ((6 - 1) * (5 * 5) - 7) = 24", "Steps:\n6 / 1 = 6 (left: 5 6 7)\n7 - 5 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution with these numbers.", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n2 * 6 = 12 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (7 - 5) * 6 * 1 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 7)\n3 * 7 = 21 (left: 1 21)\n21 + 1 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 7 + 1 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 24 (left: 24)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n1 * 5 = 5 (left: 5)\n5 * 5 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 1 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 - 1 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 5 + (15 - 1) = 24", "Steps:\n7 - 1 = 6 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n3 * 5 = 15 (left: 1 15)\n15 - 1 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * 5 + (15 - 1) = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 5)\n5 - 1 = 4 (left: 3 4)\n3 * 4 = 12 (left: 12)\nAnswer: There is no solution for this input.", "Steps:\n6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n25 - 7 = 18 (left: 18)\nAnswer: (6 - 1) * 5 - 7 = 24", "Steps:\n7 - 5 = 2 (left: 1 2 6)\n6 - 1 = 5 (left: 2 5)\n2 * 5 = 24 (left: 24)\nAnswer: (7 - 5) * (6 - 1) = 24", "Steps:\n6 / (7 - 5) = 3 (left: 1 3 6)\n1 + 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 / (7 - 5)) * (1 + 3) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 423195, "prompt_tokens": 135470, "cost": 29.4558}}, {"idx": 994, "ys": ["Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (5 + 10 - 5) * (11 - 8) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 5) * (10 - 6) = 32", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (5 + (10 - 5)) * (11 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no way to use these numbers to get 24.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) * 2 = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: No solution", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nNo solution", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 5) * (10 - 6) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Not possible to obtain 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: No solution found", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution with these numbers.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis combination cannot result in 24.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: 3 * (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 * 3 = 15 (left: 15)\n\nNo solution", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis combination of numbers cannot make 24.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12 (cannot make 24)", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Unfortunately, it's not possible to get 24 with these numbers using basic arithmetic operations.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: Not possible", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: No solution found.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: The given numbers cannot form 24 using basic arithmetic operations.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (((11 - 8) * (10 - 5)) + 5 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution for this input.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 / 5 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: 6 * (10 / 5 * (11 - 8)) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n15 + 10 = 25 (left: 25)\n25 - 1 = 24 (left: 24)\nAnswer: ((11 - 8) * 5) + (10 - 1) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 * 3 = 15 (left: 15)\n15 + 5 = 20 (left: 3 20)\n20 + 3 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: ((11 - 8) * (10 - 5)) + (5 - 3) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: ((11 - 8) * (10 - 5)) + 5 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n5 * 3 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (5 * (11 - 8)) + (10 - 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 * 3 = 24 (left: 24)\nAnswer: (5 * 3) * (11 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (5 + (10 - 5)) * (11 - 8) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 / 5 = 2 (left: 2 3)\n3 * 8 = 24 (left: 24)\nAnswer: (11 - 8) * (10 / 5) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: Invalid (cannot obtain 24)", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 5) + 5 = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n6 * 2 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no possible solution to obtain 24 from these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (10 - 8) * (11 - 5) = 24", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n5 * 3 = 15 (left: 15)\n15 + 5 = 20 (left: 20)\n20 + 3 = 23 (left: 23)\n23 + 1 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 5) + 1 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: No solution found", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\nAnswer: None", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n6 * 4 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution for this input.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 5 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 5) + 5 = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 * 1 = 24 (left: 24)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (5 * (10 - 5)) + (11 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) \u2260 24\n\nThere is no possible solution to obtain 24 with the given numbers.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 from the given numbers.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) != 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\nAnswer: (11 - 5) * (10 - 6) = 32", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (11 - 5) * (10 - 8) = 12", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None", "Steps:\n11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (11 - 5) * (10 - 8) = 24", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: (11 - 8) * (10 - 5) = 15", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n11 - 8 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n3 * 5 = 15 (left: 15)\nAnswer: None"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 429713, "prompt_tokens": 137655, "cost": 29.91243}}, {"idx": 995, "ys": ["Steps:\n12 - 4 = 8 (left: 4 8 9)\n8 * 4 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (12 - 4) * 4 - 9 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) = 40", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (9 - (12 - 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * (9 - 12 / 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4 + 9) - 12 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\nNo possible solution.", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nAnswer: None", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n5 * 4 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (9 - 4) * 4 + 12 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: There is no solution for this input.", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 - 9) * (4 * 4 / 2) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: Not possible with given numbers.", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None. There is no way to obtain 24 with these numbers.", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4 - 12) * 9 = 36", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: 4 * (12 - 9) * 4 = 48", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\n19 + 5 = 24 (left: 24)\nAnswer: (12 - 9) + (4 * 4) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n12 - 9 = 3 (left: 3 13)\n13 - 3 = 10 (left: 10)\n10 + 9 = 19 (left: 19 4)\n19 - 4 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (((4 * 4) + 9) - 12) + 9 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (9 - 4) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\nNo solution found.", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n32 - 9 = 24 (left: 24)\nAnswer: (4 * (12 - 4)) - 9 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (16 - 12) = 36", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) = 40", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 8)\nAnswer: (12 - 4) * (9 - 4) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 9) * (4 + 4) = 24", "Steps:\n12 - 4 = 8 (left: 4 9 8)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (9 - 4) = 24", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: No solution", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4 - 12) * 9 = 36", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (9 - 12) = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: No solution", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThere is no solution for this set of numbers.", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n\nNo solution for this input.", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible to obtain 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) = 40", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - (4 + 4)) * 9 = 36", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (4 * (12 - (9 - 4))) = 28", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 4) * (12 - 4) = 40", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 + 4) * (12 - 8) = 36", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: 4 * (12 - 4) - 4 = 24", "Steps:\n9 + 4 = 13 (left: 4 12 13)\n13 - 4 = 9 (left: 9 12)\n9 * 12 / 9 = 24 (left: 24)\nAnswer: (9 * 12) / (13 - 4) = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nThis combination of numbers cannot result in 24 using the given operations.", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (4 * (12 - (9 - 4))) = 28", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 19 (left: 19)\nAnswer: None", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 + 4) * (12 - 8) = 36", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 + 3 = 24 (left: 24)\nAnswer: (12 - 9) + (4 * 4) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - 4) * (8 - 4) = 36", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\nAnswer: 4 * (12 - 9) * 4 = 48", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: None", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 + 12 = 24 (left: 24)\nAnswer: (4 * (12 - 9)) + 4 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (9 - 4) * (12 - 4) = 40", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - 4) * (8 - 4) = 36", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) \u2260 24", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible to get 24 with these numbers.", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\nAnswer: (4 * (12 - (9 - 4))) = 28", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 / 8 = 1.5 (left: 1.5 9)\n1.5 * 16 = 24 (left: 24)\nAnswer: (12 / (4 + 4)) * 16 = 24", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 24)\nAnswer: 4 * (12 - (9 - 4)) = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) = 40", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (9 - 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n9 + 12 = 24 (left: 24)\nAnswer: (12 / 4) * 4 + 9 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\nAnswer: (12 - 4) * (9 - 4) = 40", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 + 4) * (12 - 8) = 36", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n3 * 4 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: ((12 - 9) * 4) * (4 / 2) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n4 * 12 = 48 (left: 48)\n2 / 2 = 1 (left: 1 48)\n48 / 2 = 24 (left: 24)\nAnswer: (4 * (12 - 9)) * (4 / 4) = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 4 = 16 (left: 3 16)\n16 - 3 = 24 (left: 24)\nAnswer: (4 * 4) - (12 - 9) = 24", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 * 3 = 12 (left: 4 12)\n12 * 4 = 48 (left: 48)\nAnswer: (12 - 9) * (4 * 4) = 48", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 28)\n28 - 4 = 24 (left: 24)\nAnswer: (4 * (12 - (9 - 4))) - 4 = 24", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (12 / 4) * (9 - 4) = 24", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n5 * 4 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (9 - 4) * 4 + 12 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (9 - 12) = 24", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (9 - 12) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 4) * (16 - 12) = 36", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: No solution found", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - (4 + 4)) * 9 = 36", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n12 + 9 = 24 (left: 24)\nAnswer: ((12 / 4) * 4) + 9 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 24 (left: 24)\nAnswer: (4 * 4 + 9) - 12 = 24", "Steps:\n12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None (No possible way to get 24)", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n5 * 4 = 20 (left: 12 20)\n20 + 4 = 24 (left: 24)\nAnswer: (9 - 4) * 4 + 12 = 24", "Steps:\n12 - 9 = 3 (left: 3 4 4)\n4 - 3 = 1 (left: 1 4)\n1 * 24 = 24 (left: 24)\nAnswer: (12 - 9) * (4 - (4 - 3)) = 24", "Steps:\n9 - 4 = 5 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n4 * 7 = 28 (left: 24)\nAnswer: 4 * (12 - (9 - 4)) = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 + 9 = 25 (left: 12 25)\n25 - 12 = 13 (left: 13)\n13 + 11 = 24 (left: 24)\nAnswer: (4 * 4) + 9 - 12 = 24", "Steps:\n4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: None", "Steps:\n4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: There is no way to obtain 24 with these numbers."], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 436146, "prompt_tokens": 139840, "cost": 30.36396}}, {"idx": 996, "ys": ["Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: 6 * (5 + (6 / 2)) = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n8 * 3 = 24 (left: 24)\nAnswer: (6 / 2 + 5) * 3 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nAnswer: No solution found.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 3) + 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n48 / 2 = 24 (left: 24)\nAnswer: (6 / 2 + 5) * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 24 (left: 24)\nAnswer: (6 / 2) * 5 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: Not possible", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nAnswer: Not possible to get 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 3) + 9 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nThere is no solution to obtain 24 from these numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 - 5) * (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 24)\nAnswer: (6 / 2 + 5) * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) * 8 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: There is no solution for this input.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nAnswer: (6 / 2) * 6 + 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 / 2 = 24 (left: 24)\nAnswer: 6 * (5 + (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: Not possible.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nNo solution can be found.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: There is no possible way to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: There is no solution to obtain 24 from the given numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: 6 * (5 + 6 / 2) = 48", "Steps:\n6 * 2 = 12 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: There is no way to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 24 (left: 24)\nAnswer: (6 / 2) * 5 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nThis combination of numbers cannot make 24.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nAnswer: There is no solution to obtain 24 with these numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nThis combination of numbers cannot make 24.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - (6 / 2)) * 2 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: Not possible to obtain 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 24)\nAnswer: 6 * (5 + (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 15 6)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: There is no solution in this case.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 - 5) * (6 / 2) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n8 * 6 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: This combination of numbers cannot make 24.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (5 + 6 - (6 / 2)) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: 2 * (5 - 6 / 2) * 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: None", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\nThis combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 24 (left: 24)\nAnswer: (6 / 2) * 6 + 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: Not possible to obtain 24 with given numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nNo solution found.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 6 = 11 (left: 3 11)\n3 * 11 = 33 (left: 33)\nAnswer: (6 / 2) * (5 + 6) = 33", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 - 3 = 2 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (6 / 2) * (5 - 3) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n1 * 24 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 24 (left: 24)\nAnswer: (6 / 2) * 5 + 6 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n1 * 3 = 3 (left: 3)\nAnswer: (6 - 5) * (6 / 2) = 3", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 6 = 18 (left: 5 18)\n18 + 5 = 23 (left: 23)\nAnswer: (6 / 2) * 6 + 5 = 24", "Steps:\n6 * 2 = 12 (left: 5 6 12)\n6 - 5 = 1 (left: 1 12)\n12 * 1 = 24 (left: 24)\nAnswer: (6 * 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nNote: There is no way to obtain 24 using these numbers and basic arithmetic operations.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n3 * 5 = 15 (left: 15)\n15 + 9 = 24 (left: 24)\nAnswer: (6 - 6 / 2) * 5 = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 * 3 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: (6 / 2) * 5 + 6 = 21", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n3 * 5 = 15 (left: 6 15)\n15 + 6 = 21 (left: 21)\nAnswer: There is no solution for these numbers.", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n5 + 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\nAnswer: (6 / 2 + 5) * 6 = 48", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24", "Steps:\n6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (6 - 5) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 442399, "prompt_tokens": 142025, "cost": 30.80469}}, {"idx": 997, "ys": ["Steps:\n12 / 4 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: There is no solution using these numbers.", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - 12 / 4)) = 12", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (9 - 12 / 4)) * 2 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 12)\n12 / 2 = 6 (left: 5 6)\n5 * 6 = 24 (left: 24)\nAnswer: (9 - 4) * (12 / 2) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (12 / 4) * 9 - 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2 * 4) - 9 = 24", "Steps:\n4 * 2 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (4 * 2) * (12 - 8) = 36", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 4) * (9 - (12 / 2)) = 24", "Steps:\n2 * 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: Not possible", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (12 - 9) * 2 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: 2 * (9 - 12 / 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 4) * (9 - 3) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - (12 / 4))) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 9) * (4 - 2) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - 6) = 24", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n3 * 4 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 9) * (3 * 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 2) * (9 - 6) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: Cannot make 24 with these numbers.", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (9 - 12 / 4) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 4) * (9 - 3) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - (12 / 2)) = 24", "Steps:\n12 * 2 = 24 (left: 4 9 24)\n9 - 4 = 5 (left: 5 24)\n24 * 5 = 24 (left: 24)\nAnswer: (12 * 2) * (9 - 4) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n9 - 2 = 7 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n4 * 5 = 20 (left: 20)\nAnswer: 4 * (12 - (9 - 2)) = 20", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (4 * (9 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: ((12 / 2) * (9 - 6)) * 2 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 4) * (9 - 3) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n3 * 2 = 6 (left: 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (12 - 9) * (4 - 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n2 * 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (2 * 4) * (12 - 8) = 36", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - 6) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 12 / 2) * 4 = 24", "Steps:\n9 - 4 = 5 (left: 2 5 12)\n12 / 2 = 6 (left: 5 6)\n5 * 6 = 24 (left: 24)\nAnswer: (9 - 4) * (12 / 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (9 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (4 * (9 - 12 / 2)) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: 2 * (9 - (12 / 4)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - 6) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - 12 / 4)) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - 12 / 4)) = 12", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (12 / 4) * (9 - 3) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 4) * (9 - (12 / 4)) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 * 12) * (9 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 4 3)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 4 * (9 - 12 / 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - 6) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (4 * (9 - 12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: 4 * (9 - 12 / 2) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 12 / 2) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 + 9 = 33 (left: 33)\nAnswer: (12 / 2) * 4 + 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\nAnswer: There is no solution with these numbers.", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (9 - 12 / 4)) * 2 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: 2 * (9 - 12 / 4) = 12", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - 12 / 4)) = 12", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 4) * (9 - 3) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n27 - 2 = 24 (left: 24)\nAnswer: (12 / 4) * 9 - 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 4) * (9 - 3) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * 12) * (9 - (12 / 2)) = 24", "Steps:\n2 * 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n4 * 9 = 36 (left: 36)\nAnswer: (12 - 2 * 4) * 9 = 36", "Steps:\n9 - 4 = 5 (left: 2 5 12)\n5 * 2 = 10 (left: 10 12)\n12 + 10 = 22 (left: 22)\nAnswer: Not possible with these numbers.", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nAnswer: (12 / 4) * 2 * 9 = 54", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: 2 * (9 - 12 / 4) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n3 * 2 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\nIt is not possible to obtain 24 using these numbers.", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n2 * 3 = 6 (left: 6)\n6 * 4 = 24 (left: 24)\nAnswer: (12 - 9) * (4 - 2) * 4 = 24", "Steps:\n2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 9) = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\nAnswer: (2 * (9 - (12 / 4))) = 12", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 4 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - 6) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 12 / 2) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (2 * (9 - (12 / 2))) * 4 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 4) * (9 - (12 / 4)) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2 * 4) - 9 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: (2 * (9 - (12 / 4))) = 24", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (12 - 9) * 2 = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (12 / 2)) * 4 = 24", "Steps:\n12 / 2 = 6 (left: 4 9 6)\n9 - 6 = 3 (left: 4 3)\n4 * 3 = 12 (left: 12)\n12 * 2 = 24 (left: 24)\nAnswer: (12 / 2) * (9 - (12 / 2)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 * 1 = 24 (left: 24)\nAnswer: (12 / 2) * 4 = 24", "Steps:\n12 / 4 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n2 * 6 = 24 (left: 24)\nAnswer: 2 * (9 - (12 / 4)) = 24", "Steps:\n12 - 9 = 3 (left: 2 3 4)\n2 * 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (2 * (12 - 9)) = 24", "Steps:\n12 / 2 = 6 (left: 4 6 9)\n6 * 4 = 24 (left: 9 24)\n24 - 9 = 15 (left: 15)\nAnswer: (12 / 2) * 4 - 9 = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}], "usage_so_far": {"completion_tokens": 449233, "prompt_tokens": 144210, "cost": 31.280279999999998}}, {"idx": 998, "ys": ["Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Invalid input, cannot obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (13 - 11) * 4 * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (13 - 11) * 4 * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: This sequence cannot form 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (4 / (13 - 11)) * 8 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: None", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 24)\nAnswer: (13 - 11) * (4 / 2) * 8 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no possible solution to obtain 24 with this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 4) * (13 - 11) * 3 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nThis input cannot produce 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (not 24, no solution)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n5 * 7 = 35 (left: 35)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no combination of these numbers using basic arithmetic operations to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (13 - 11) * 4 * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution in this case.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: There is no solution with the given numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (13 - 11) * 4 * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: 4 * (13 - 11) * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: The given numbers cannot be used to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (4 * (13 - 11)) * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nNo solution can be found for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (4 / (13 - 11)) * 8 + 8 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: There is no solution for this set of numbers.", "Steps:\n13 - 4 = 9 (left: 8 9 11)\n11 - 8 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 4 = 9 (left: 8 9 11)\n11 - 8 = 3 (left: 3 9)\n3 * 9 = 24 (left: 24)\nAnswer: (13 - 4) * (11 - 8) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 - 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nNo solution", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: None", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nUnfortunately, it is not possible to make 24 using the numbers 4, 8, 11, and 13.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 1 = 24 (left: 24)\nAnswer: (13 - 11) * 4 * 2 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: (8 - 4) * (13 - 11) * 3 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: This combination of numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 24 (left: 24)\nAnswer: (4 / (13 - 11)) * 8 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (This cannot create 24)\nAnswer: Not possible to create 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Unable to obtain 24 using these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThis input does not have a solution to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: (4 * (13 - 11)) * 8 = 64", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Unfortunately, there is no possible combination to obtain 24 with these numbers.", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: No solution", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (13 - 11) * (8 - 4) = 8 (This input does not result in 24)", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 - 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: There is no solution with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: No solution found", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 - 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * 3 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution to obtain 24 from these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n16 + 8 = 24 (left: 24)\nAnswer: (4 / (13 - 11)) * 8 + 8 = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nUnfortunately, there is no solution for this combination of numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nAnswer: No solution", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24", "Steps:\n13 - 4 = 9 (left: 8 9 11)\n11 - 9 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nThis input cannot form 24 with the given operations.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nSince the given numbers don't result in a final value of 24, there is no valid solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nThis input does not have a solution to obtain 24.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nUnfortunately, there is no possible arithmetic operation to obtain 24 from the given numbers (4, 8, 11, 13).", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: Not possible to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: There is no solution for this input.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no solution with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nUnfortunately, there is no possible solution for this set of numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n2 * 4 = 8 (left: 8)\nAnswer: (13 - 11) * (8 - 4) = 8\nNote: There is no solution to obtain 24 with these numbers.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\nAnswer: The given numbers cannot form 24 using basic arithmetic operations.", "Steps:\n13 - 8 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - (13 - 8)) = 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nThere is no possible solution to obtain 24 with the given numbers.", "Steps:\n13 - 4 = 9 (left: 8 9 11)\n11 - 9 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution found.", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 / 2 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\nAnswer: No solution for 24", "Steps:\n13 - 11 = 2 (left: 2 4 8)\n4 * 2 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n\nNo solution found."], "infos": [{"r": 0}, {"r": 1}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 455177, "prompt_tokens": 146395, "cost": 31.702469999999998}}, {"idx": 999, "ys": ["Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nNo possible solution.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 26", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: There is no possible operation to obtain 24 with the given numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nUnfortunately, it is not possible to obtain 24 from these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThere is no possible way to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 26", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 * 9 = 81 (left: 10 81)\n81 / 10 = 8.1 (left: 8.1)\nAnswer: There is no possible solution to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * (4) + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n\nUnfortunately, there is no possible combination to create 24 using the given numbers 4, 9, 10, and 13.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: There is no possible solution with these numbers.", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 - 9 = 0 (left: 0 10)\n10 * 0 = 0 (left: 0)\n\nNo solution exists.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThere is no solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThis combination does not result in 24.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: None", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * (4 - 4) + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThere is no solution for this set of numbers.", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 + 9 = 18 (left: 10 18)\n18 + 10 - 4 = 24 (left: 24)\nAnswer: ((13 - 4) + 9) + (10 - 4) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * (4) + 10 = 26", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nUnfortunately, it is not possible to obtain 24 using these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nUnfortunately there is no possible solution for this case.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * (4 + 10) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nNo solution found.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 * 2 = 18 (left: 9 18)\n18 + 6 = 24 (left: 24)\nAnswer: (13 - 4) * 2 + 6 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * (4) + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nUnfortunately, it is not possible to obtain 24 with the given numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 * 9 = 81 (left: 10 81)\n81 / 10 = 8.1 (left: 8.1)\nAnswer: Not possible to achieve 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: Invalid input, cannot obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThis set of numbers cannot be used to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThere is no possible solution to obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + 10 - 2 = 24", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 - 9 = 0 (left: 0 10)\n10 * 0 = 0 (left: 0)\nAnswer: There is no valid solution for this input.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 26", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nIt is not possible to obtain 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 10 = 40 (left: 4 40)\n40 / 4 = 10 (left: 10)\n10 + 4 = 14 (left: 14)\n14 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 10 / 4 + 4 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 26", "Steps:\n13 - 10 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (13 - 10)) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + 10 - 2 = 24", "Steps:\n13 - 4 = 9 (left: 9 9 10)\n9 + 9 = 18 (left: 10 18)\n18 + 10 = 28 (left: 28)\nCannot obtain 24.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n\nIt is not possible to obtain 24 from the given numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (4 * (13 - 9)) + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nThis combination does not result in 24.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: Unfortunately, it is not possible to get 24 with these numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n26 - 2 = 24 (left: 24)\nAnswer: (4 * (13 - 9)) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: ((13 - 9) * 4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n\nIt is not possible to obtain 24 with the given numbers.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * (4) + 10 - 2 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 26 (left: 26)\n\nUnfortunately, it is not possible to obtain 24 with the given numbers 4, 9, 10, and 13 using basic arithmetic operations.", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + 10 = 24", "Steps:\n13 - 9 = 4 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 + 10 - 2 = 24 (left: 24)\nAnswer: (13 - 9) * 4 + (10 - 2) = 24"], "infos": [{"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 1}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}, {"r": 0}], "usage_so_far": {"completion_tokens": 461878, "prompt_tokens": 148580, "cost": 32.17008}}]
\ No newline at end of file
diff --git a/logs/game24/gpt-4_0.7_naive_standard_sample_100_start900_end1000.json b/logs/game24/gpt-4_0.7_naive_standard_sample_100_start900_end1000.json
deleted file mode 100644
index 1f197b7..0000000
--- a/logs/game24/gpt-4_0.7_naive_standard_sample_100_start900_end1000.json
+++ /dev/null
@@ -1,21202 +0,0 @@
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-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (4 * 5) + (10 - 6) = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (6 - 4) * (10 - 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 - 4) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (4 * 6) / (10 - 5) = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 5) * (6 - 4) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 5) * (6 - 4) = 24",
-            "Answer: (6 / (10 - 5)) * 4 = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (4 + 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 - 4) = 24",
-            "Answer: (10 - 5) * (6 - 4) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
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-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (6 - 4) * (10 - 5) = 24",
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-            "Answer: (4 * 5) - (10 - 6) = 24",
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-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (6 - 4) * (10 - 5) = 24",
-            "Answer: (10 - 4) * (5 - 1) = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
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-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
-            "Answer: (10 - 6) * (5 + 4) = 24",
-            "Answer: (10 - 4) * (6 - 5) = 24",
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-            "Answer: (6 - 4) * (10 - 5) = 24",
-            "Answer: (6 - 4) * (10 - 5) = 24",
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-            "Answer: (10 - 6) * (5 - 4) * 4 = 24",
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-            "Answer: (10 - 6) * (5 + 4) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (4 - 1) * (7 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (1 + 2) * (7 - 4) = 24",
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-            "Answer: (7 - 1) * 4 / 2 = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (4 * 7) - (2 + 1) = 24",
-            "Answer: (4 * 2) * (7 - 1) = 24",
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-            "Answer: (7 - 2) * (4 - 1) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * 4 - 2 = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * 4 - 2 = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * 4 / 2 = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: 4 * (7 - (1 + 2)) = 24",
-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "Answer: (4 - 1) * (7 - 2) = 24",
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-            "Answer: (7 - 1) * (4 - 2) = 24",
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-            "prompt_tokens": 99000,
-            "cost": 13.662299999999998
-        }
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-        "ys": [
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (4 + 10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24",
-            "Answer: (13 - 9) * (10 - 4) = 24"
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-        "usage_so_far": {
-            "completion_tokens": 180008,
-            "prompt_tokens": 100000,
-            "cost": 13.80048
-        }
-    }
-]
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diff --git a/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start10_end15.json b/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start10_end15.json
deleted file mode 100644
index 7a29c92..0000000
--- a/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start10_end15.json
+++ /dev/null
@@ -1,191 +0,0 @@
-[
-    {
-        "steps": [
-            {
-                "step": 0,
-                "x": "1 1 2 8",
-                "ys": [
-                    ""
-                ],
-                "new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n",
-                    "\n",
-                    "1. \\(1 + 1 = 2\\) (left: 2, 2, 8)\n",
-                    "2. \\(1 + 2 = 3\\) (left: 1, 3, 8)\n",
-                    "3. \\(1 + 8 = 9\\) (left: 1, 2, 9)\n",
-                    "4. \\(1 \\times 1 = 1\\) (left: 1, 2, 8)\n",
-                    "5. \\(1 \\times 2 = 2\\) (left: 1, 2, 8)\n",
-                    "6. \\(1 \\times 8 = 8\\) (left: 1, 2, 8)\n",
-                    "7. \\(2 + 8 = 10\\) (left: 1, 1, 10)\n",
-                    "8. \\(2 - 1 = 1\\) (left: 1, 1, 8)\n",
-                    "9. \\(8 - 1 = 7\\) (left: 1, 2, 7)\n",
-                    "10. \\(8 - 2 = 6\\) (left: 1, 1, 6)\n",
-                    "11. \\(8 \\div 1 = 8\\) (left: 1, 2, 8)\n",
-                    "12. \\(8 \\div 2 = 4\\) (left: 1, 1, 4)\n",
-                    "\n",
-                    "These are some of the possible operations you can perform with the given numbers.\n"
-                ],
-                "values": [
-                    0.001,
-                    0.001,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n"
-                ]
-            },
-            {
-                "step": 1,
-                "x": "1 1 2 8",
-                "ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n"
-                ],
-                "new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 2 = 3 (left: 1 3 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 8 = 9 (left: 1 2 9)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 2 = 3 (left: 1 3 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 8 = 9 (left: 1 2 9)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n2 + 8 = 10 (left: 1 1 10)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 - 1 = 0 (left: 0 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n2 - 1 = 1 (left: 1 1 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n8 - 1 = 7 (left: 1 2 7)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n2 - 1 = 1 (left: 1 1 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n8 - 1 = 7 (left: 1 2 7)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n8 - 2 = 6 (left: 1 1 6)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 * 1 = 1 (left: 1 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 * 2 = 2 (left: 1 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 * 8 = 8 (left: 1 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n2 * 8 = 16 (left: 1 1 16)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 / 1 = 1 (left: 1 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n2 / 1 = 2 (left: 1 1 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n8 / 1 = 8 (left: 1 2 8)  \n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n8 / 2 = 4 (left: 1 1 4)\n"
-                ],
-                "values": [
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0,
-                    0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0
-                ],
-                "select_new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n"
-                ]
-            },
-            {
-                "step": 2,
-                "x": "1 1 2 8",
-                "ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n"
-                ],
-                "new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n1. \\(2 + 2 = 4\\) (left: 4 8)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n2. \\(2 \\times 2 = 4\\) (left: 4 8)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n3. \\(8 - 2 = 6\\) (left: 2 6)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n4. \\(8 - 2 = 6\\) (left: 2 6)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n5. \\(8 / 2 = 4\\) (left: 2 4)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n6. \\(8 / 2 = 4\\) (left: 2 4)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \n\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nNote: Steps 1 and 2 result in the same state (4 8), and steps 3 and 4 result in the same state (2 6), as do steps 5 and 6, resulting in the state (2 4).\n"
-                ],
-                "values": [
-                    0.001,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n"
-                ]
-            },
-            {
-                "step": 3,
-                "x": "1 1 2 8",
-                "ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n"
-                ],
-                "new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\nFor the input `2 2 8`, here are the possible next steps:\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n1. \\(2 + 2 = 4\\) (left: 4 8)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n2. \\(2 \\times 2 = 4\\) (left: 4 8)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n3. \\(8 - 2 = 6\\) (left: 2 6)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n4. \\(8 - 2 = 6\\) (left: 2 6)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n5. \\(8 \\div 2 = 4\\) (left: 2 4)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n6. \\(8 \\div 2 = 4\\) (left: 2 4)\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n\n",
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\nNote: Since the two `2`s are indistinguishable in operations like addition and multiplication, the results are the same, but I've listed them to show all possible pairings.\n"
-                ],
-                "values": [
-                    0,
-                    0.001,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0
-                ],
-                "select_new_ys": [
-                    "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n\n"
-                ]
-            }
-        ],
-        "idx": 10,
-        "ys": [
-            "Here are some possible next steps with the numbers 1, 1, 2, and 8:\n1 + 1 = 2 (left: 2 2 8)  \nHere are the possible next steps for the input `2 2 8`:\n\n"
-        ],
-        "infos": [
-            {
-                "r": 0
-            }
-        ],
-        "usage_so_far": {
-            "completion_tokens": 5961,
-            "prompt_tokens": 12152,
-            "cost": 0.7222199999999999
-        },
-        "total_runtime": 95.51803588000075
-    }
-]
\ No newline at end of file
diff --git a/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start5_end6.json b/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start5_end6.json
deleted file mode 100644
index 701c4cf..0000000
--- a/logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start5_end6.json
+++ /dev/null
@@ -1,378 +0,0 @@
-[
-    {
-        "steps": [
-            {
-                "step": 0,
-                "x": "1 1 2 12",
-                "ys": [
-                    ""
-                ],
-                "new_ys": [
-                    "Here are the possible next steps with the numbers 1, 1, 2, and 12:\n",
-                    "\n",
-                    "1. Add 1 and 1:\n",
-                    "   - 1 + 1 = 2 (left: 2, 2, 12)\n",
-                    "\n",
-                    "2. Subtract 1 from 2:\n",
-                    "   - 2 - 1 = 1 (left: 1, 1, 12)\n",
-                    "\n",
-                    "3. Multiply 1 and 1:\n",
-                    "   - 1 * 1 = 1 (left: 1, 2, 12)\n",
-                    "\n",
-                    "4. Add 1 and 2:\n",
-                    "   - 1 + 2 = 3 (left: 1, 3, 12)\n",
-                    "\n",
-                    "5. Subtract 1 from 12:\n",
-                    "   - 12 - 1 = 11 (left: 1, 1, 11)\n",
-                    "\n",
-                    "6. Subtract 2 from 12:\n",
-                    "   - 12 - 2 = 10 (left: 1, 1, 10)\n",
-                    "\n",
-                    "7. Divide 12 by 2:\n",
-                    "   - 12 / 2 = 6 (left: 1, 1, 6)\n",
-                    "\n",
-                    "8. Add 1 and 12:\n",
-                    "   - 1 + 12 = 13 (left: 1, 2, 13)\n",
-                    "\n",
-                    "9. Add 2 and 12:\n",
-                    "   - 2 + 12 = 14 (left: 1, 1, 14)\n",
-                    "\n",
-                    "10. Multiply 2 and 12:\n",
-                    "    - 2 * 12 = 24 (left: 1, 1, 24)\n",
-                    "\n",
-                    "These are the possible operations you can perform with the numbers 1, 1, 2, and 12.\n"
-                ],
-                "values": [
-                    0.0,
-                    0.001,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.0,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "\n"
-                ]
-            },
-            {
-                "step": 1,
-                "x": "1 1 2 12",
-                "ys": [
-                    "\n"
-                ],
-                "new_ys": [
-                    "\nTo generate possible next steps, follow a similar process as the example and apply basic arithmetic operations to pairs of numbers. Here's how you can do it:\n",
-                    "\n\n",
-                    "\nGiven a list of numbers, you can select any two numbers and apply one of the following operations: addition, subtraction, multiplication, or division (if divisible). After applying an operation, replace the two numbers with the result, and list the remaining numbers along with the result.\n",
-                    "\n\n",
-                    "\nLet's illustrate this with a new input:\n",
-                    "\n\n",
-                    "\nInput: 3 5 9 15\n",
-                    "\n\n",
-                    "\nPossible next steps:\n",
-                    "\n\n",
-                    "\n1. **3 + 5 = 8** (left: 8 9 15)\n",
-                    "\n2. **3 - 5 = -2** (left: -2 9 15)\n",
-                    "\n3. **5 - 3 = 2** (left: 2 9 15)\n",
-                    "\n4. **3 * 5 = 15** (left: 9 15 15)\n",
-                    "\n5. **9 + 3 = 12** (left: 5 12 15)\n",
-                    "\n6. **9 - 3 = 6** (left: 5 6 15)\n",
-                    "\n7. **3 * 9 = 27** (left: 5 15 27)\n",
-                    "\n8. **15 + 3 = 18** (left: 5 9 18)\n",
-                    "\n9. **15 - 3 = 12** (left: 5 9 12)\n",
-                    "\n10. **3 * 15 = 45** (left: 5 9 45)\n",
-                    "\n11. **5 + 9 = 14** (left: 3 14 15)\n",
-                    "\n12. **9 - 5 = 4** (left: 3 4 15)\n",
-                    "\n13. **5 * 9 = 45** (left: 3 15 45)\n",
-                    "\n14. **15 + 5 = 20** (left: 3 9 20)\n",
-                    "\n15. **15 - 5 = 10** (left: 3 9 10)\n",
-                    "\n16. **5 * 15 = 75** (left: 3 9 75)\n",
-                    "\n17. **9 + 15 = 24** (left: 3 5 24)\n",
-                    "\n18. **15 - 9 = 6** (left: 3 5 6)\n",
-                    "\n19. **9 * 15 = 135** (left: 3 5 135)\n",
-                    "\n\n",
-                    "\nThese are just some of the possible operations. You can continue to explore other combinations and operations based on the context and goals of your problem.\n"
-                ],
-                "values": [
-                    0.0,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    20.0,
-                    0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0.0,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "\nPossible next steps:\n"
-                ]
-            },
-            {
-                "step": 2,
-                "x": "1 1 2 12",
-                "ys": [
-                    "\nPossible next steps:\n"
-                ],
-                "new_ys": [
-                    "\nPossible next steps:\nTo generate the possible next steps from a given set of numbers, you can consider each pair of numbers and apply the basic arithmetic operations: addition, subtraction, multiplication, and division (when applicable). Here are the steps for generating possible next steps with the numbers you provided:\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\nInput: 2 8 8 14\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n1. **Addition:**\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n   - 2 + 8 = 10 (remaining: 8 10 14)\n",
-                    "\nPossible next steps:\n   - 2 + 8 (second 8) = 10 (remaining: 8 10 14)\n",
-                    "\nPossible next steps:\n   - 2 + 14 = 16 (remaining: 8 8 16)\n",
-                    "\nPossible next steps:\n   - 8 + 8 = 16 (remaining: 2 14 16)\n",
-                    "\nPossible next steps:\n   - 8 + 14 = 22 (remaining: 2 8 22)\n",
-                    "\nPossible next steps:\n   - 8 (second 8) + 14 = 22 (remaining: 2 8 22)\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n2. **Subtraction:**\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n   - 8 - 2 = 6 (remaining: 6 8 14)\n",
-                    "\nPossible next steps:\n   - 8 (second 8) - 2 = 6 (remaining: 6 8 14)\n",
-                    "\nPossible next steps:\n   - 14 - 2 = 12 (remaining: 8 8 12)\n",
-                    "\nPossible next steps:\n   - 14 - 8 = 6 (remaining: 2 8 6)\n",
-                    "\nPossible next steps:\n   - 14 - 8 (second 8) = 6 (remaining: 2 8 6)\n",
-                    "\nPossible next steps:\n   - 8 - 8 = 0 (remaining: 2 14 0)\n",
-                    "\nPossible next steps:\n   - 2 - 8 = -6 (remaining: -6 8 14)\n",
-                    "\nPossible next steps:\n   - 8 - 14 = -6 (remaining: 2 8 -6)\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n3. **Multiplication:**\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n   - 2 * 8 = 16 (remaining: 8 14 16)\n",
-                    "\nPossible next steps:\n   - 2 * 8 (second 8) = 16 (remaining: 8 14 16)\n",
-                    "\nPossible next steps:\n   - 2 * 14 = 28 (remaining: 8 8 28)\n",
-                    "\nPossible next steps:\n   - 8 * 8 = 64 (remaining: 2 14 64)\n",
-                    "\nPossible next steps:\n   - 8 * 14 = 112 (remaining: 2 8 112)\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n4. **Division** (only when the result is an integer):\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\n   - 8 / 2 = 4 (remaining: 4 8 14)\n",
-                    "\nPossible next steps:\n   - 14 / 2 = 7 (remaining: 8 8 7)\n",
-                    "\nPossible next steps:\n   - 8 / 8 = 1 (remaining: 2 14 1)\n",
-                    "\nPossible next steps:\n   - 14 / 8 = 1.75 (not an integer, so not considered)\n",
-                    "\nPossible next steps:\n\n",
-                    "\nPossible next steps:\nThese are the possible next steps you can take from the given set of numbers. Each operation reduces the set of numbers by one while adding the result of the operation back to the list.\n"
-                ],
-                "values": [
-                    0.001,
-                    20.0,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    0.0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    0.001,
-                    0.0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "\nPossible next steps:\n\n"
-                ]
-            },
-            {
-                "step": 3,
-                "x": "1 1 2 12",
-                "ys": [
-                    "\nPossible next steps:\n\n"
-                ],
-                "new_ys": [
-                    "\nPossible next steps:\n\nTo determine the possible next steps, we take each pair of numbers and apply the basic arithmetic operations (addition, subtraction, multiplication, and division where applicable) to see what new set of numbers we can create. Let's consider the set of numbers you provided: \\(2, 8, 8, 14\\).\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n### Current Set: 2, 8, 8, 14\n",
-                    "\nPossible next steps:\n\nWe'll evaluate each pair of numbers:\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n1. **2 and 8**\n",
-                    "\nPossible next steps:\n\n   - Addition: \\(2 + 8 = 10\\) \u2192 New set: 8, 10, 14\n",
-                    "\nPossible next steps:\n\n   - Subtraction: \\(8 - 2 = 6\\) \u2192 New set: 6, 8, 14\n",
-                    "\nPossible next steps:\n\n   - Multiplication: \\(2 \\times 8 = 16\\) \u2192 New set: 8, 14, 16\n",
-                    "\nPossible next steps:\n\n   - Division: \\(8 \\div 2 = 4\\) \u2192 New set: 4, 8, 14\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n2. **2 and 14**\n",
-                    "\nPossible next steps:\n\n   - Addition: \\(2 + 14 = 16\\) \u2192 New set: 8, 8, 16\n",
-                    "\nPossible next steps:\n\n   - Subtraction: \\(14 - 2 = 12\\) \u2192 New set: 8, 8, 12\n",
-                    "\nPossible next steps:\n\n   - Multiplication: \\(2 \\times 14 = 28\\) \u2192 New set: 8, 8, 28\n",
-                    "\nPossible next steps:\n\n   - Division: \\(14 \\div 2 = 7\\) \u2192 New set: 7, 8, 8\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n3. **8 and 8**\n",
-                    "\nPossible next steps:\n\n   - Addition: \\(8 + 8 = 16\\) \u2192 New set: 2, 14, 16\n",
-                    "\nPossible next steps:\n\n   - Subtraction: \\(8 - 8 = 0\\) \u2192 New set: 2, 0, 14\n",
-                    "\nPossible next steps:\n\n   - Multiplication: \\(8 \\times 8 = 64\\) \u2192 New set: 2, 14, 64\n",
-                    "\nPossible next steps:\n\n   - Division: \\(8 \\div 8 = 1\\) \u2192 New set: 2, 14, 1\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n4. **8 and 14**\n",
-                    "\nPossible next steps:\n\n   - Addition: \\(8 + 14 = 22\\) \u2192 New set: 2, 8, 22\n",
-                    "\nPossible next steps:\n\n   - Subtraction: \\(14 - 8 = 6\\) \u2192 New set: 2, 6, 8\n",
-                    "\nPossible next steps:\n\n   - Multiplication: \\(8 \\times 14 = 112\\) \u2192 New set: 2, 8, 112\n",
-                    "\nPossible next steps:\n\n   - Division: \\(14 \\div 8 = 1.75\\) (not an integer, usually not considered unless fractional results are allowed)\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\n### Summary of Possible Next Steps:\n",
-                    "\nPossible next steps:\n\n- New set: 8, 10, 14\n",
-                    "\nPossible next steps:\n\n- New set: 6, 8, 14\n",
-                    "\nPossible next steps:\n\n- New set: 8, 14, 16\n",
-                    "\nPossible next steps:\n\n- New set: 4, 8, 14\n",
-                    "\nPossible next steps:\n\n- New set: 8, 8, 16\n",
-                    "\nPossible next steps:\n\n- New set: 8, 8, 12\n",
-                    "\nPossible next steps:\n\n- New set: 8, 8, 28\n",
-                    "\nPossible next steps:\n\n- New set: 7, 8, 8\n",
-                    "\nPossible next steps:\n\n- New set: 2, 14, 16\n",
-                    "\nPossible next steps:\n\n- New set: 2, 0, 14\n",
-                    "\nPossible next steps:\n\n- New set: 2, 14, 64\n",
-                    "\nPossible next steps:\n\n- New set: 2, 14, 1\n",
-                    "\nPossible next steps:\n\n- New set: 2, 8, 22\n",
-                    "\nPossible next steps:\n\n- New set: 2, 6, 8\n",
-                    "\nPossible next steps:\n\n- New set: 2, 8, 112\n",
-                    "\nPossible next steps:\n\n\n",
-                    "\nPossible next steps:\n\nThese are all the possible next steps using the given numbers.\n"
-                ],
-                "values": [
-                    0.001,
-                    20.0,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.0,
-                    0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.0,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0.001,
-                    0,
-                    0.001
-                ],
-                "select_new_ys": [
-                    "\nPossible next steps:\n\n\n"
-                ]
-            }
-        ],
-        "idx": 5,
-        "ys": [
-            "\nPossible next steps:\n\n\n"
-        ],
-        "infos": [
-            {
-                "r": 0
-            }
-        ],
-        "usage_so_far": {
-            "completion_tokens": 11939,
-            "prompt_tokens": 39972,
-            "cost": 1.9155
-        }
-    }
-]
\ No newline at end of file
diff --git a/run.py b/run.py
index ae0d671..95b8647 100644
--- a/run.py
+++ b/run.py
@@ -7,10 +7,23 @@ from src.tot.tasks import get_task
 from src.tot.methods.bfs import solve, naive_solve
 from src.tot.models import gpt_usage
 
+from transformers import AutoTokenizer, AutoModelForCausalLM
+import torch
+
+
 def run(args):
     '''
     main run function
     '''
+    #load in non-gpt model in this driver function for now to avoid repeated loading later on
+    if args.backend == 'llama':
+        tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-3B-Instruct")
+        model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-3B-Instruct")
+    else:
+        model = None
+        tokenizer = None
+
+    #set up
     task = get_task(args.task)
     logs, cnt_avg, cnt_any = [], 0, 0
     if args.naive_run:
@@ -19,20 +32,22 @@ def run(args):
         file = f'./logs/{args.task}/{args.backend}_{args.temperature}_{args.method_generate}{args.n_generate_sample}_{args.method_evaluate}{args.n_evaluate_sample}_{args.method_select}{args.n_select_sample}_start{args.task_start_index}_end{args.task_end_index}.json'
     os.makedirs(os.path.dirname(file), exist_ok=True)
 
+    #run the specified range of tasks
     for i in range(args.task_start_index, args.task_end_index):
 
         # solve
         start_timer = time.perf_counter()
         if args.naive_run:
-            ys, info = naive_solve(args, task, i) 
+            ys, info = naive_solve(args, task, i, model, tokenizer) 
         else:
-            ys, info = solve(args, task, i)
+            ys, info = solve(args, task, i, model, tokenizer)
+
         runtime = time.perf_counter()-start_timer
         print(runtime)
 
         # log
         infos = [task.test_output(i, y) for y in ys]
-        info.update({'idx': i, 'ys': ys, 'infos': infos, 'usage_so_far': gpt_usage(args.backend), 'total_runtime': runtime})
+        info.update({'idx': i, 'ys': ys, 'infos': infos, 'usage_so_far (gpt only)': gpt_usage(args.backend), 'total_runtime': runtime})
         logs.append(info)
         with open(file, 'w') as f:
             json.dump(logs, f, indent=4)
@@ -55,7 +70,7 @@ def parse_args():
     args = argparse.ArgumentParser()
 
     #what model to use
-    args.add_argument('--backend', type=str, choices=['gpt-4o', 'gpt-4o-mini', 'other'], default='gpt-4o')
+    args.add_argument('--backend', type=str, choices=['gpt-4o', 'llama'], default='gpt-4o')
 
     #what temperature to use
     args.add_argument('--temperature', type=float, default=0.0)
diff --git a/src/tot/methods/bfs.py b/src/tot/methods/bfs.py
index 61ca5de..2976a32 100644
--- a/src/tot/methods/bfs.py
+++ b/src/tot/methods/bfs.py
@@ -49,9 +49,9 @@ def get_samples(task, x, y, n_generate_sample, prompt_sample, stop):
     samples = inference_model(prompt, n=n_generate_sample, stop=stop)
     return [y + _ for _ in samples]
 
-def solve(args, task, idx, to_print=True):
+def solve(args, task, idx, model, tokenizer, to_print=True):
     global inference_model
-    inference_model = partial(inference_model, model=args.backend, temperature=args.temperature)
+    inference_model = partial(inference_model, model=model, tokenizer=tokenizer, temperature=args.temperature)
     # print(inference_model)
     x = task.get_input(idx)  # input
     ys = ['']  # current output candidates
diff --git a/src/tot/models.py b/src/tot/models.py
index f59760b..722b3d3 100644
--- a/src/tot/models.py
+++ b/src/tot/models.py
@@ -2,7 +2,8 @@ import os
 import openai
 from openai import OpenAI
 import backoff 
-from transformers import AutoTokenizer, AutoModelForCausalLM
+import torch
+import transformers
 
 completion_tokens = prompt_tokens = 0
 
@@ -21,45 +22,42 @@ if api_base != "":
 ### Model Inference ###
 #######################
 
-def inference_model(prompt, model="gpt-4o", temperature=0.7, max_tokens=1000, n=1, stop=None, vllm=False, quant=False) -> list:
+def inference_model(prompt, model, tokenizer, temperature=0.7, max_tokens=1000, n=5, stop=None) -> list:
     '''
     Driver function for model inference.
     '''
-    if model == "llama_3.2" and vllm: #will change this later
-        return llama_32(prompt, quant, vllm, temperature, max_tokens, n, stop)
+    if model: #will modify this later to include support for other variations
+        return hf_model(model, tokenizer, prompt, temperature, max_tokens, n, stop)
     else:
+        model = "gpt-4o"
         messages = [{"role": "system", "content": "You are a helpful assistant."},
         {"role": "user", "content": prompt}]
         return chatgpt(model=model, messages=messages, temperature=temperature, max_tokens=max_tokens, n=n, stop=stop)
 
-def llama_32(prompt, temperature, max_tokens, n, stop, quant=None, vllm=None): #will add vllm support later
-    '''
-    Use llama3.2 for inference
-    '''
-    # if quant:
-    #     tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
-    #     model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
-    # else:
-    tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-3B")
-    model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-3B")
-    
-    inputs = tokenizer(prompt, return_tensors="pt")
-    outputs = hf_model(model, inputs, temperature, max_tokens, n, stop)
-    
-    return outputs
-
-def hf_model(model, input_tokens, temperature=0.7, max_tokens=1000, n=1, stop=None):
+def hf_model(model, tokenizer, prompt, temperature=0.7, max_tokens=1000, n=5, stop=None):
     """
     Given a model (Huggingface) and input tokens, generate an output
     """
     outputs = []
 
+    device = 'cuda' if torch.cuda.is_available() else 'cpu'
+
+    #tokenize inputs
+    inputs = tokenizer(prompt, return_tensors="pt")
+    inputs = inputs.to(device)
+    # print(inputs)
+    model.to(device)
+
     while n > 0:
         cnt = min(n, 20) 
         n -= cnt
-        outputs = model.generate(**input_tokens, temperature=temperature, max_new_tokens=max_tokens, num_return_sequences=cnt) #might add stopping criteria depending on heuristics experimentation
-        #need to take a look at the specific output format once i get access to the gated repo
-        #need to outputs.extend()
+
+        #actual generation
+        out = model.generate(**inputs, temperature=temperature, max_new_tokens=max_tokens, num_return_sequences=cnt) #might add stopping criteria depending on heuristics experimentation
+
+        for o in out:
+            string_answer = tokenizer.decode(o)
+            outputs.extend([string_answer])
 
     return outputs
 
@@ -67,7 +65,7 @@ def hf_model(model, input_tokens, temperature=0.7, max_tokens=1000, n=1, stop=No
 def completions_with_backoff(**kwargs):
     return client.chat.completions.create(**kwargs)
 
-def chatgpt(messages, model="gpt-4", temperature=0.7, max_tokens=1000, n=1, stop=None) -> list:
+def chatgpt(model, messages, temperature=0.7, max_tokens=1000, n=5, stop=None) -> list:
     global completion_tokens, prompt_tokens
     outputs = []
     client = OpenAI()
@@ -76,9 +74,8 @@ def chatgpt(messages, model="gpt-4", temperature=0.7, max_tokens=1000, n=1, stop
         n -= cnt
 
         res = client.chat.completions.create(model=model, messages=messages, temperature=temperature, n=cnt, stop=stop)
-        res_answer = res.choices[0].message.content
-        # print(res_answer)
-        outputs.extend([res_answer]) #will add in support for n > 1 hyperparam later
+        res_answer = res.choices[0].message.content #answers get returned in a single message.content string even when n > 1; need to double check on why later
+        outputs.extend([res_answer]) 
 
         # log completion tokens
         completion_tokens += res.usage.completion_tokens