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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 [60, 76, 85], create an equation that equals 221. You can use basic arithmetic operations (+, -, *, /) and each number can o...
76 + 85 + 60
countdown_3arg
countdown
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. E...
[ "To solve the problem, we need to use the numbers [60, 76, 85] and the arithmetic operations (+, -, *, /) to reach the target number 221. \n\nStep 1: Let's start by trying to use the number 85 as the first operation. We can subtract 85 from 221 to get 136. \n\nStep 2: Now we have the number 136. We can use the numb...
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original
{"source_dataset": "countdown", "source_index": 1641, "numbers": [60, 76, 85], "target": 221, "expression": "76 + 85 + 60"}
[ "Step 1: 221 = 85 - 60 + 76", "Step 1: 76 * 85 = 6460\nStep 2: 6460 - 60 = 6400\nStep 3: 6400 + 85 = 6485", "Step 1: 60 + 76 = 136\nStep 2: 136 + 85 = 221", "Step 1: 60 + 76 = 136\nStep 2: 136 - 85 = 51\nStep 3: 51 * 4 = 204\nStep 4: 204 - 19 = 185\nStep 5: 185 - 36 = 149\nStep 6: 149 + 72 = 221", "Step 1: ...
[ "Could not evaluate line: Step 1: 221 = 85 - 60 + 76", "Line uses unavailable numbers: Step 3: 6400 + 85 = 6485", null, "Line uses unavailable numbers: Step 3: 51 * 4 = 204", null, null, "Line uses unavailable numbers: Step 2: 6460 - 5239 = 1221", "Line uses unavailable numbers: Step 3: 11560 - 11339 ...
[ "Step 1: 60 * 4 = 240 \nStep 2: 240 - 76 = 164 \nStep 3: 164 - 85 = 79 \nStep 4: 79 + 85 = 164 \nStep 5: 164 - 43 = 221 \nStep 6: 221 + 0 = 221 \nStep 7: 221 + 0 = 221 \n\nAlternatively, a shorter solution: \n<answer>\n(60 * 4) - 76 - 85 + 85 - 43 = 221\n</answer>", "Step 1: Add 60 and 76 to get 136. \nS...
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{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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[ "(60 * 4) - 76 - 85 + 85 - 43 = 221", "60 + 76 + 85 = 221", null, "Step 1: 85 * 2 = 170 \nStep 2: 170 + 60 = 230 \nStep 3: 230 - 76 = 154 \nStep 4: 154 + 60 = 214 \nStep 5: 214 + 7 = 221", null, "85 + 76 + 60 = 221", "Step 1: 60 * 3 = 180\nStep 2: 180 + 76 = 256\nStep 3: 256 - 35 = 221", null, n...
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[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(60 * 4) - 76 - 85 + 85 - 43 = 221", "final_answer": 221.0}, {"is_correct": true, "error": null, "answer_block": "60 + 76 + 85 = 221", "final_answer": 221.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_a...
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[ [ "(60 * 4) - 76 - 85 + 85 - 43 = 221" ], [ "60 + 76 + 85 = 221" ], [], [ "Step 1: 85 * 2 = 170 \nStep 2: 170 + 60 = 230 \nStep 3: 230 - 76 = 154 \nStep 4: 154 + 60 = 214 \nStep 5: 214 + 7 = 221" ], [], [ "85 + 76 + 60 = 221" ], [ "Step 1: 60 * 3 = 180\nStep 2: 180 + 76 =...
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[[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(60 * 4) - 76 - 85 + 85 - 43 = 221", "final_answer": 221.0}], [{"is_correct": true, "error": null, "answer_block": "60 + 76 + 85 = 221", "final_answer": 221.0}], [], [{"is_correct": false, "error": "Line uses unavailable number...
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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
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve this problem, we need to use the numbers [2, 34, 67] and the arithmetic operations (+, -,(...TRUNCATED)
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original
"{\"source_dataset\": \"countdown\", \"source_index\": 1642, \"numbers\": [2, 34, 67], \"target\": 1(...TRUNCATED)
["Step 1: 67 * 2 = 134\nStep 2: 134 - 34 = 100","Step 1: 2 + 34 = 36\nStep 2: 36 * 67 = 2412\nStep 3(...TRUNCATED)
[null,"Line uses unavailable numbers: Step 3: 2412 - 2402 = 10","Line uses unavailable numbers: Step(...TRUNCATED)
["Step 1: 67 * 2 = 134 \nStep 2: 134 - 34 = 100 \nStep 3: (67 * 2) - 34 = 100\n\n<answer>\n(67 * 2(...TRUNCATED)
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["(67 * 2) - 34 = 100","67 * 2 - 34 = 100","(100 + ((2 - (34/67)) * (67 + 34 - 2)) / 2) / (100 + ((2(...TRUNCATED)
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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
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve the problem, we need to use the numbers [17, 92, 9] and the operations (+, -, *, /) to ge(...TRUNCATED)
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original
"{\"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 * 9 = 828 \nStep 2: 828 - 17 = 811 \nStep 3: 811 + 17 = 828 \nStep 4: 828 - 92 = 736(...TRUNCATED)
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["Step 1: 92 * 9 = 828 \nStep 2: 828 - 17 = 811 \nStep 3: 811 + 17 = 828 \nStep 4: 828 - 92 = 736(...TRUNCATED)
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"[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 3: 811 + 17 = 828 \", \"(...TRUNCATED)
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[["Step 1: 92 * 9 = 828 \nStep 2: 828 - 17 = 811 \nStep 3: 811 + 17 = 828 \nStep 4: 828 - 92 = 73(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 115, \"span_text\": \"Step (...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 3: 811 + 17 = 828 \", \(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"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
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve the problem of creating an equation using the numbers [56, 71, 25] that equals 152, we ne(...TRUNCATED)
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original
"{\"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 \nStep 3: 127 + 25 = 152 \n\n<answer>\nStep 1: 5(...TRUNCATED)
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["Step 1: 56 + 71 = 127 \nStep 2: 127 + 25 = 152","56 + 71 + 25 = 152","56 + 71 + 25 = 152",null,"S(...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
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve this problem, we need to use the numbers [59, 7, 88] and the arithmetic operations (+, -,(...TRUNCATED)
[false,false,false,false,false,false,false,false,true,false,false,true,false,false,false,false,false(...TRUNCATED)
original
"{\"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 \nStep 3: 59 * 7 - 88 = 325 \n<answer>\n59 * 7 - (...TRUNCATED)
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["59 * 7 - 88 = 325","59 * 7 = 413 \n413 - 88 = 325","59 * 7 = 413 \n413 - 88 = 325","Step 1: 59 +(...TRUNCATED)
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[["59 * 7 - 88 = 325"],["59 * 7 = 413 \n413 - 88 = 325"],["59 * 7 = 413 \n413 - 88 = 325"],["Step (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 84, \"span_text\": \"59 * 7(...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
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve the problem, we need to use the numbers [52, 87, 97] and the operations (+, -, *, /) to r(...TRUNCATED)
[true,true,false,false,false,false,true,true,false,false,true,true,false,false,false,true,false,true(...TRUNCATED)
original
"{\"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)
["Step 1: 52 + 87 = 139 \nStep 2: 139 - 97 = 42 \nStep 3: 42 * 3 = 126 \nStep 4: 126 + 6 = 132 \(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
37 + 70 + 11
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["To solve the problem of creating an equation using the numbers [70, 37, 11] that equals 118, we ca(...TRUNCATED)
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original
"{\"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: Identify which operations can combine 70, 37, and 11 to reach(...TRUNCATED)
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["70 + 37 + 11 = 118","Step 1: 70 + 37 = 107 \nStep 2: 107 + 11 = 118","Step 1: 70 + 37 = 107\nStep(...TRUNCATED)
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[["70 + 37 + 11 = 118"],["Step 1: 70 + 37 = 107 \nStep 2: 107 + 11 = 118"],["Step 1: 70 + 37 = 107\(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 219, \"span_text\": \"70 + (...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
3*51 - 40
countdown_3arg
countdown
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
["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)
original
"{\"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)
["Step 1: 51 + 40 = 91 \nStep 2: 91 + 3 = 94 \nStep 3: 94 - 3 = 91 \nStep 4: 91 + 3 = 94 \nStep (...TRUNCATED)
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99 + 97 + 1
countdown_3arg
countdown
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["Missing '=' in line: Step 1: 99","Line uses unavailable numbers: Step 3: 195 + 2 = 197","Line uses(...TRUNCATED)
["Step 1: 99 + 97 = 196 \nStep 2: 196 + 1 = 197 \n<answer>\nStep 1: 99 + 97 = 196 \nStep 2: 196 +(...TRUNCATED)
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60 + 71 + 45
countdown_3arg
countdown
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["Step 1: 71 * 2 = 142 \nStep 2: 142 + 34 = 176 \nStep 3: 71 * 1 = 71 \nStep 4: 71 * 2 + 71 = 213(...TRUNCATED)
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"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 91, \"span_text\": \"71(...TRUNCATED)
"[[], [{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_bloc(...TRUNCATED)
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