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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 o...
60 - 50 + 92
countdown_3arg
countdown
[ { "content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer...
[ "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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alternative
{"source_dataset": "countdown", "source_index": 3322, "numbers": [92, 60, 50], "target": 102, "expression": "60 - 50 + 92"}
[ "Step 1: 92 - 50 = 42\nStep 2: 42 + 60 = 102", "Step 1: 92 - 50 = 42\nStep 2: 60 + 42 = 102", "Step 1: 92 + 10 = 102\nStep 2: 10 * 9 = 102\nStep 3: 92 + 10 = 102\nStep 4: 10 * 9 = 102\nStep 5: 92 + 10 = 102\nStep 6: 10 * 9 = 102\nStep 7: 92 + 10 = 102\nStep 8: 10 * 9 = 102", "Step 1: 92 + 60 = 152\nStep 2: 15...
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[ "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102 \n\n<answer>\nStep 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102\n</answer>", "Let's break down the problem:\n\n**Numbers:** 92, 60, 50 \n**Target:** 102 \n**Allowed operations:** +, -, *, / \n**Each number:** Only once\n\nLet's try to find combinations.\n\n---\n\n## ...
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{ "api_url": "http://10.32.36.228:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 4, "temperature": 0.6, "top_p": 0.95 }, "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "prompt": ...
{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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[ "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102", "Step 1: (60 - 50) + 92 = 102", "92 + (60 - 50) = 102", "Step 1: 92 - 50 = 42\nStep 2: 60 - 42 = 18\nStep 3: 18 + 84 = 102", "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102", "Step 1: (60 - 50) + 92 = 102\nAlternatively,\nStep 1: (92 - 50) + 60 = 102", "92...
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 56, "span_end": 102, "original_span": "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1179, "span_end": 1209, "original_span": ...
[{"is_correct": true, "error": null, "answer_block": "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102", "final_answer": 102.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: (60 - 50) + 92 = 102", "final_answer": 102.0}, {"is_correct": true, "error": null, "answer_block": "92 + (60 - 50) = 102", "final_ans...
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[ [ "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102" ], [ "Step 1: (60 - 50) + 92 = 102" ], [ "92 + (60 - 50) = 102" ], [ "Step 1: 92 - 50 = 42\nStep 2: 60 - 42 = 18\nStep 3: 18 + 84 = 102" ], [ "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102" ], [ "Step 1: (60 - 50) + 92 = 1...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 56, "span_text": "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102", "extraction_type": "internal", "span_start": 56, "span_end": 102, "original_span": "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102"}], [{"pattern_used": "answer tag", "confidence": 1.0, "posi...
[[{"is_correct": true, "error": null, "answer_block": "Step 1: 92 - 50 = 42 \nStep 2: 60 + 42 = 102", "final_answer": 102.0}], [{"is_correct": true, "error": null, "answer_block": "Step 1: (60 - 50) + 92 = 102", "final_answer": 102.0}], [{"is_correct": true, "error": null, "answer_block": "92 + (60 - 50) = 102", "fina...
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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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["To solve the problem using the numbers [37, 21, 59], we need to create an equation that equals 944(...TRUNCATED)
[false,false,false,true,false,true,false,false,false,false,false,false,false,false,false,false,false(...TRUNCATED)
alternative
"{\"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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"[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
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"[[], [], [], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1481, \"span_te(...TRUNCATED)
"[[], [], [], [{\"is_correct\": true, \"error\": null, \"answer_block\": \"(37 - 21) * 59 = 944\", \(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"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)
71 - 23 + 97
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, 71, 23] that equals 145, we ca(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 3326, \"numbers\": [97, 71, 23], \"target\": (...TRUNCATED)
["Step 1: 97 + 71 = 168\nStep 2: 168 - 23 = 145","Step 1: 97 + 71 = 168\nStep 2: 168 - 23 = 145","St(...TRUNCATED)
[null,null,"Line uses unavailable numbers: Step 2: 26 * 5 = 130","Incorrect arithmetic in line: Step(...TRUNCATED)
["Let's approach the problem step by step:\n\n## Step 1: List all the numbers and the target.\nNumbe(...TRUNCATED)
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{"api_url":"http://10.32.36.228:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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["97 + 71 - 23 = 145","Step 1: 97 + 71 = 168 \nStep 2: 168 - 23 = 145","97 + 71 - 23 = 145","Step 1(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"97 + 71 - 23 = 145\", \"final_answer\"(...TRUNCATED)
[[true],[true],[true],[true],[true],[true],[true],[true],[],[true],[true],[true],[true],[true],[true(...TRUNCATED)
[["97 + 71 - 23 = 145"],["Step 1: 97 + 71 = 168 \nStep 2: 168 - 23 = 145"],["97 + 71 - 23 = 145"],[(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 902, \"span_text\": \"97 + (...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"97 + 71 - 23 = 145\", \"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":14,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
7*23 + 47
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem, we need to use the numbers [23, 7, 47] and the arithmetic operations (+, -,(...TRUNCATED)
[true,false,false,false,true,false,false,false,true,true,true,true,false,true,false,false,false,fals(...TRUNCATED)
alternative
"{\"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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{"api_url":"http://10.32.36.228:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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[null,"(23 × 7) + 47 = 208",null,"(23 * 7) + 47 = 208",null,null,"(47 * 4) + 7 = 208",null,"Step 1:(...TRUNCATED)
"[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non(...TRUNCATED)
"[{\"evaluation_method\": \"response_processor\", \"reason\": \"no_extracted_answer\", \"extraction_(...TRUNCATED)
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[[],["(23 × 7) + 47 = 208"],[],["(23 * 7) + 47 = 208"],[],[],["(47 * 4) + 7 = 208"],[],["Step 1: 23(...TRUNCATED)
"[[], [{\"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
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["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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{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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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)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 42 + 87 = 129 \\nStep 2: 129 (...TRUNCATED)
[[true],[],[false],[true],[true],[],[false],[true],[true],[true],[false],[false],[],[false],[true],[(...TRUNCATED)
[["Step 1: 42 + 87 = 129 \nStep 2: 129 + 14 = 143"],[],["87 * 1 + 14 * 4 = 143"],["Step 1: 87 + 42 (...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1260, \"span_text\": \"Step(...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 42 + 87 = 129 \\nStep 2: 129(...TRUNCATED)
{"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)
22*11 - 12
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["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)
alternative
"{\"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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{ "backend": "litellm", "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "n_responses": 16 }
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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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"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(22 * 11) - 12\", \"final_answer\": 23(...TRUNCATED)
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"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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["Step 1: 28 * 34 = 952\nStep 2: 952 - 21 = 931","(28 * 34) - 21 = 931","Step 1: 28 * 34 = 952\nStep(...TRUNCATED)
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"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 28 * 34 = 952\\nStep 2: 952 - (...TRUNCATED)
[[true],[true],[true],[false],[false],[true],[true],[true],[true],[true],[false],[true],[true],[fals(...TRUNCATED)
[["Step 1: 28 * 34 = 952\nStep 2: 952 - 21 = 931"],["(28 * 34) - 21 = 931"],["Step 1: 28 * 34 = 952\(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Step 1:(...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 28 * 34 = 952\\nStep 2: 952 -(...TRUNCATED)
{"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)
99 - 37 + 43
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["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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55 + 85 - 11
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countdown
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23 + 82 + 50
countdown_3arg
countdown
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