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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 [73, 100, 35], create an equation that equals 138. 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.
100 + 73 - 35
countdown_3arg
countdown
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76 + 85 + 60
countdown_3arg
countdown
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["Could not evaluate line: Step 1: 221 = 85 - 60 + 76","Line uses unavailable numbers: Step 3: 6400 (...TRUNCATED)
["Step 1: 85 * 2 = 170 \nStep 2: 170 + 51 = 221 \nStep 3: 76 - 25 = 51 \nStep 4: 85 * 2 + (76 - 2(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
2*67 - 34
countdown_3arg
countdown
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
92*(17 - 9)
countdown_3arg
countdown
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"{\"source_dataset\": \"countdown\", \"source_index\": 1643, \"numbers\": [17, 92, 9], \"target\": 7(...TRUNCATED)
["Step 1: 92 * 9 = 828\nStep 2: 828 + 17 = 845\nStep 3: 845 + 17 = 862","Step 1: 92 * 9 = 828\nStep (...TRUNCATED)
["Line uses unavailable numbers: Step 3: 845 + 17 = 862","Line uses unavailable numbers: Step 2: 828(...TRUNCATED)
["Step 1: 92 * 8 = 736 \nStep 2: 8 = 17 - 9 \nTherefore, 92 * (17 - 9) = 736 \nAlternatively, (92(...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":3,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
71 + 25 + 56
countdown_3arg
countdown
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["To solve the problem of creating an equation using the numbers [56, 71, 25] that equals 152, we ne(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1645, \"numbers\": [56, 71, 25], \"target\": (...TRUNCATED)
["Step 1: 56 + 25 = 81\nStep 2: 81 + 71 = 152","Step 1: 56 * 71 = 3976\nStep 2: 3976 - 25 = 3951\nSt(...TRUNCATED)
[null,"Incorrect arithmetic in line: Step 3: 3951 / 56 = 70.26785714285714","Line uses unavailable n(...TRUNCATED)
["Step 1: 56 + 71 = 127 \nStep 2: 127 + 25 = 152 \nAlternatively, \nStep 1: 56 + 25 = 81 \nStep (...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
59*7 - 88
countdown_3arg
countdown
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1646, \"numbers\": [59, 7, 88], \"target\": 3(...TRUNCATED)
["Step 1: 59 * 5 = 295\nStep 2: 295 + 30 = 325","Step 1: 59 * 7 = 413\nStep 2: 413 + 88 = 421\nStep (...TRUNCATED)
["Line uses unavailable numbers: Step 1: 59 * 5 = 295","Incorrect arithmetic in line: Step 2: 413 + (...TRUNCATED)
["Step 1: 59 * 7 = 413 \nStep 2: 413 - 88 = 325 \nAlternatively, \nStep 1: 59 * 7 = 413 \nStep 2(...TRUNCATED)
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"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 121, \"span_text\": \"59 * (...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"59 * 7 - 88 = 325\", \"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":7,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
97 - 52 + 87
countdown_3arg
countdown
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[true,true,false,false,false,false,true,true,false,false,true,true,false,false,false,true,false,true(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1647, \"numbers\": [52, 87, 97], \"target\": (...TRUNCATED)
["Step 1: 97 - 52 = 45\nStep 2: 87 + 45 = 132","Step 1: 97 - 52 = 45\nStep 2: 45 + 87 = 132","Step 1(...TRUNCATED)
[null,null,"Line uses unavailable numbers: Step 1: 52 * 2 = 104","Incorrect arithmetic in line: Step(...TRUNCATED)
["Let's think through potential equations using the numbers [52, 87, 97] to get 132.\n\nLet’s try (...TRUNCATED)
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["(87 - 52) + 97","Step 1: 52 + 87 = 139\nStep 2: 139 - 97 = 42\nStep 3: 42 * 3 = 126\nStep 4: 126 +(...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":8,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
37 + 70 + 11
countdown_3arg
countdown
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["To solve the problem of creating an equation using the numbers [70, 37, 11] that equals 118, we ca(...TRUNCATED)
[true,false,false,false,false,false,false,true,false,true,false,true,true,false,false,false,true,fal(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1649, \"numbers\": [70, 37, 11], \"target\": (...TRUNCATED)
["Step 1: 70 + 37 = 107\nStep 2: 107 + 11 = 118","Step 1: 70 * 11 = 770\nStep 2: 770 + 37 = 807\nSte(...TRUNCATED)
[null,"Line uses unavailable numbers: Step 3: 807 - 691 = 116","Incorrect arithmetic in line: Step 2(...TRUNCATED)
["Let's think step by step.\n\nStep 1: Consider basic operations: addition, subtraction, multiplicat(...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":14,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
3*51 - 40
countdown_3arg
countdown
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["To solve the problem using the numbers [51, 3, 40], we need to create an equation that equals 113.(...TRUNCATED)
[false,false,true,false,false,false,false,true,false,false,true,false,false,false,false,false,false,(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1650, \"numbers\": [51, 3, 40], \"target\": 1(...TRUNCATED)
["Step 1: 51 - 3 = 48\nStep 2: 48 + 40 = 88\nStep 3: 88 + 3 = 91\nStep 4: 91 + 2 = 93\nStep 5: 93 + (...TRUNCATED)
["Line uses unavailable numbers: Step 3: 88 + 3 = 91","Incorrect arithmetic in line: Step 3: 2160 - (...TRUNCATED)
["<answer>\nStep 1: 51 + 3 = 54\nStep 2: 54 + 40 = 94\nStep 3: 113 - 94 = 19\n</answer>","<answer>\n(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],"flips_total":1,"num_correct":4,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
99 + 97 + 1
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve the problem of creating an equation using the numbers [97, 99, 1] that equals 197, we can(...TRUNCATED)
[false,false,false,true,true,true,false,false,false,false,false,false,false,false,false,false,true,f(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1651, \"numbers\": [97, 99, 1], \"target\": 1(...TRUNCATED)
["Step 1: 99\nStep 2: 99 + 1 = 100\nStep 3: 100 - 1 = 99\nStep 4: 99 + 97 = 196","Step 1: 97 + 99 = (...TRUNCATED)
["Missing '=' in line: Step 1: 99","Line uses unavailable numbers: Step 3: 195 + 2 = 197","Line uses(...TRUNCATED)
["<answer>\nStep 1: 99 + 97 = 196\nStep 2: 196 + 1 = 197\n</answer>","Step 1: 99 - 1 = 98 \nStep 2:(...TRUNCATED)
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["Step 1: 99 + 97 = 196\nStep 2: 196 + 1 = 197","Step 1: 99 - 1 = 98 \nStep 2: 98 + 97 = 195 \nSte(...TRUNCATED)
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"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 99 + 97 = 196\\nStep 2: 196 + (...TRUNCATED)
[[true],[false],[false],[true],[true,true,true],[true],[true],[true],[true],[true,true],[false],[],[(...TRUNCATED)
[["Step 1: 99 + 97 = 196\nStep 2: 196 + 1 = 197"],["Step 1: 99 - 1 = 98 \nStep 2: 98 + 97 = 195 \n(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Step 1:(...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 99 + 97 = 196\\nStep 2: 196 +(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":12,"pass_at_n":1,"percen(...TRUNCATED)
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