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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [92, 60, 50], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
60 - 50 + 92
countdown_3arg
countdown
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[ "To solve the problem of creating an equation using the numbers [92, 60, 50] that equals 102, we need to find a combination of arithmetic operations that will yield the target result. Let's break it down:\n\n1. We need to use each number exactly once.\n2. We need to use basic arithmetic operations: +, -, *, /.\n\nL...
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
59*(37 - 21)
countdown_3arg
countdown
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"{\"source_dataset\": \"countdown\", \"source_index\": 3325, \"numbers\": [37, 21, 59], \"target\": (...TRUNCATED)
["Step 1: 59 * 16 = 944\nStep 2: 944 - 100 = 844\nStep 3: 844 - 11 = 833","Step 1: 59 * 21 = 1239\nS(...TRUNCATED)
["Line uses unavailable numbers: Step 1: 59 * 16 = 944","Line uses unavailable numbers: Step 3: 1276(...TRUNCATED)
["Step 1: 59 * 21 = 1239 \nStep 2: 1239 - 37 = 1202 \nStep 3: 1202 - 37 = 1165 \nStep 4: 1165 - 3(...TRUNCATED)
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71 - 23 + 97
countdown_3arg
countdown
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7*23 + 47
countdown_3arg
countdown
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"{\"source_dataset\": \"countdown\", \"source_index\": 3327, \"numbers\": [23, 7, 47], \"target\": 2(...TRUNCATED)
["Step 1: 23 * 7 = 161\nStep 2: 161 + 47 = 208","Step 1: 23 * 7 = 161\nStep 2: 161 - 47 = 114\nStep (...TRUNCATED)
[null,"Line uses unavailable numbers: Step 3: 114 - 47 = 67","Line uses unavailable numbers: Step 3:(...TRUNCATED)
["Step 1: 23 * 7 = 161 \nStep 2: 47 - 23 = 24 \nStep 3: 161 + 24 = 185 \nStep 4: 185 + 23 = 208 (...TRUNCATED)
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"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 713, \"span_text\": \"((...TRUNCATED)
"[[], [{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"(23(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
14 + 87 + 42
countdown_3arg
countdown
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["To solve this problem, we need to use the numbers [14, 42, 87] and apply basic arithmetic operatio(...TRUNCATED)
[false,true,false,false,false,false,false,false,false,false,false,false,false,false,true,false,false(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3328, \"numbers\": [14, 42, 87], \"target\": (...TRUNCATED)
["Step 1: 14 - 87 = -73\nStep 2: -73 + 87 = 14","Step 1: 14 + 42 = 56\nStep 2: 56 + 87 = 143","Step (...TRUNCATED)
["Line uses unavailable numbers: Step 2: -73 + 87 = 14",null,"Line uses unavailable numbers: Step 1:(...TRUNCATED)
["Let's break down the problem step by step.\n\nGiven numbers: [14, 42, 87] \nTarget: 143\n\nLet's (...TRUNCATED)
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["Step 1: 42 + 87 = 129 \nStep 2: 129 + 14 = 143",null,"87 * 1 + 14 * 4 = 143","Step 1: 87 + 42 = 1(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
22*11 - 12
countdown_3arg
countdown
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["To solve this problem, we need to use the numbers [11, 12, 22] and apply basic arithmetic operatio(...TRUNCATED)
[false,true,false,true,false,false,false,false,false,false,false,false,true,true,false,false,false,t(...TRUNCATED)
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"{\"source_dataset\": \"countdown\", \"source_index\": 3329, \"numbers\": [11, 12, 22], \"target\": (...TRUNCATED)
["Step 1: 12 * 22 = 264\nStep 2: 264 - 34 = 230","Step 1: 22 * 11 = 242\nStep 2: 242 - 12 = 230","St(...TRUNCATED)
["Line uses unavailable numbers: Step 2: 264 - 34 = 230",null,"Line uses unavailable numbers: Step 2(...TRUNCATED)
["Let's think step by step.\n\nGiven numbers: 11, 12, 22. \nTarget: 230. \nAllowed operations: +, (...TRUNCATED)
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["(22 * 11) - 12",null,"Step 1: 22 * 11 = 242\nStep 2: 242 - 12 = 230","(22 * 11) - 12 = 230",null,"(...TRUNCATED)
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[["(22 * 11) - 12"],[],["Step 1: 22 * 11 = 242\nStep 2: 242 - 12 = 230"],["(22 * 11) - 12 = 230"],[](...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":11,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
34*28 - 21
countdown_3arg
countdown
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["To solve the problem using the numbers [28, 34, 21] and basic arithmetic operations, we need to fi(...TRUNCATED)
[true,true,false,false,true,true,false,true,false,true,false,false,false,true,true,true,true,false,f(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3330, \"numbers\": [28, 34, 21], \"target\": (...TRUNCATED)
["Step 1: 28 * 34 - 21 = 931","Step 1: 34 * 28 = 952\nStep 2: 952 - 21 = 931","Step 1: 28 + 34 = 62\(...TRUNCATED)
[null,null,"Line uses unavailable numbers: Step 3: 41 * 21 = 861","Line uses unavailable numbers: St(...TRUNCATED)
["<answer>\nStep 1: 28 * 34 = 952\nStep 2: 952 - 21 = 931\n</answer>","Let's break this down step by(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
99 - 37 + 43
countdown_3arg
countdown
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["To solve this problem, we need to use the numbers [99, 43, 37] and apply basic arithmetic operatio(...TRUNCATED)
[false,true,true,true,true,true,false,true,false,false,false,false,true,true,true,false,false,false,(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3331, \"numbers\": [99, 43, 37], \"target\": (...TRUNCATED)
["","Step 1: 99 + 43 = 142\nStep 2: 142 - 37 = 105","Step 1: 99 - 37 = 62\nStep 2: 62 + 43 = 105","S(...TRUNCATED)
["No <final_answer> or <answer> tag found",null,null,null,null,null,"Incorrect arithmetic in line: S(...TRUNCATED)
["Step 1: 99 - 43 = 56 \nStep 2: 56 + 37 = 93 \nStep 3: 93 + 12 = 105 \nStep 4: 12 = 99 - 43 \nS(...TRUNCATED)
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[[],["(99 - 37) + 43"],[],["99 + 43 - 37 = 105"],["Option 1: 99 + 43 - 37 = 105\nOption 2: 99 - 37 +(...TRUNCATED)
"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 185, \"span_text\": \"((...TRUNCATED)
"[[], [{\"is_correct\": true, \"error\": null, \"answer_block\": \"(99 - 37) + 43\", \"final_answer\(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":9,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
55 + 85 - 11
countdown_3arg
countdown
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["To solve the problem of creating an equation using the numbers [55, 85, 11] that equals 129, we ca(...TRUNCATED)
[false,false,false,false,false,false,false,true,false,true,true,false,false,false,true,true,true,tru(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3335, \"numbers\": [55, 85, 11], \"target\": (...TRUNCATED)
["Step 1: 55 * 85 = 4675\nStep 2: 4675 - 85 = 4590\nStep 3: 4590 - 11 = 4579\nStep 4: 4579 - 11 = 45(...TRUNCATED)
["Line uses unavailable numbers: Step 2: 4675 - 85 = 4590","Line uses unavailable numbers: Step 1: 5(...TRUNCATED)
["Step 1: 55 * 2 = 110 \nStep 2: 110 + 19 = 129 \nStep 3: 85 - 11 = 74 \nStep 4: 74 + 19 = 93 \n(...TRUNCATED)
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"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 434, \"span_text\": \"S(...TRUNCATED)
"[[], [{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 55 + 85 = 140 \\nStep 2:(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
23 + 82 + 50
countdown_3arg
countdown
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["To solve this problem, we need to use the numbers [82, 23, 50] and the operations (+, -, *, /) to (...TRUNCATED)
[true,false,false,false,false,false,false,false,false,false,false,false,false,false,false,true,true,(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3336, \"numbers\": [82, 23, 50], \"target\": (...TRUNCATED)
["Step 1: 82 + 23 = 105\nStep 2: 105 + 50 = 155","Step 1: 82 - 23 = 59\nStep 2: 59 - 50 = 9\nStep 3:(...TRUNCATED)
[null,"Incorrect arithmetic in line: Step 3: 9 * 17 = 155","Line uses unavailable numbers: Step 2: 5(...TRUNCATED)
["Let's approach the problem step by step.\n\n**Given numbers:** [82, 23, 50] \n**Target:** 155\n\n(...TRUNCATED)
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[[true],[],[true],[true],[true],[true],[false],[true],[true],[true],[true],[true],[true],[true],[tru(...TRUNCATED)
[["(82 + 23) + 50"],[],["82 + 50 + 23 = 155"],["82 + 23 + 50 = 155"],["Step 1: 82 + 23 = 105 \nStep(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 885, \"span_text\": \"(82 +(...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(82 + 23) + 50\", \"final_answer\": 1(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":13,"pass_at_n":1,"percen(...TRUNCATED)
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