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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 [98, 86, 9], create an equation that equals 796. You can use basic arithmetic operations (+, -, *, /) and each number can on...
9*98 - 86
countdown_3arg
countdown
[ { "content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step 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...
[ "To solve this problem, we need to find a combination of the given numbers [98, 86, 9] using the operations (+, -, *, /) that results in the target number 796. \n\nHere’s how I would approach it:\n\n1. First, let's try simple addition or subtraction combinations:\n - 98 + 86 = 184 (too small)\n - 98 - 86 = 12 (...
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rephrase
{"source_dataset": "countdown", "source_index": 824, "numbers": [98, 86, 9], "target": 796, "expression": "9*98 - 86"}
[ "", "", "", "Step 1: 98 + 86 = 184\nStep 2: 184 - 9 = 175\nStep 3: 175 * 4 = 700\nStep 4: 700 + 96 = 796", "Step 1: 98 - 86 = 12\nStep 2: 12 + 9 = 21\nStep 3: 21 * 38 = 798\nStep 4: 798 + 8 = 796", "", "Step 1: 98 - 86 = 12\nStep 2: 12 * 68 = 796", "", "Step 1: 98 - 86 = 12\nStep 2: 12 * 9 = 108\nSt...
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[ "Rewritten Question: Using numbers 98, 86, and 9, create an equation equal to 796 using each number once and basic arithmetic operations.\n\nStep 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796 \n<answer>\nStep 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796\n</answer>", "Rewritten Question: Using 98, 86, and 9, create an e...
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{ "api_url": "http://10.32.36.214:10080/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: 98 × 9 = 882 \nStep 2: 882 − 86 = 796", "(98 * 9) - 86 = 796", "Step 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796", "(98 × 9) − 86 = 796", "Step 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796", "(98 × 9) − 86 = 796", "Step 1: 98 + 86 = 184 \nStep 2: 184 × 9 = 1656 \nStep 3: 1656 − (86 × 10) = 796", ...
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[{"is_correct": false, "error": "Could not evaluate line: Step 1: 98 \u00d7 9 = 882 ", "answer_block": "Step 1: 98 \u00d7 9 = 882 \nStep 2: 882 \u2212 86 = 796", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(98 * 9) - 86 = 796", "final_answer": 796.0}, {"is_correct": false, "error": "Co...
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[ [ "Step 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796" ], [ "(98 * 9) - 86 = 796" ], [ "Step 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796" ], [ "(98 × 9) − 86 = 796" ], [ "Step 1: 98 × 9 = 882 \nStep 2: 882 − 86 = 796" ], [ "(98 × 9) − 86 = 796" ], [ "Step 1: 98 + 86 = ...
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 194, "span_text": "Step 1: 98 \u00d7 9 = 882 \nStep 2: 882 \u2212 86 = 796", "extraction_type": "internal", "span_start": 194, "span_end": 241, "original_span": "Step 1: 98 \u00d7 9 = 882 \nStep 2: 882 \u2212 86 = 796"}], [{"pattern_used": "answer tag", ...
[[{"is_correct": false, "error": "Could not evaluate line: Step 1: 98 \u00d7 9 = 882 ", "answer_block": "Step 1: 98 \u00d7 9 = 882 \nStep 2: 882 \u2212 86 = 796", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block": "(98 * 9) - 86 = 796", "final_answer": 796.0}], [{"is_correct": false, "error"...
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
20*28 + 98
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem using the given numbers [98, 28, 20] and basic arithmetic operations, we nee(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 0, \"numbers\": [98, 28, 20], \"target\": 658(...TRUNCATED)
["Step 1: 98 * 28 = 2744\nStep 2: 2744 - 20 = 2724","","Step 1: 98 + 28 = 126\nStep 2: 126 * 5 = 630(...TRUNCATED)
["Incorrect final answer","No <final_answer> or <answer> tag found","Line uses unavailable numbers: (...TRUNCATED)
["<answer>\nStep 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - (...TRUNCATED)
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["Step 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - 26 = 658",(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 98 * 3 = 294\", \"answ(...TRUNCATED)
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[["Step 1: 98 * 3 = 294\nStep 2: 294 + 28 + 20 = 342\nStep 3: 342 * 2 = 684\nStep 4: 684 - 26 = 658"(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 8, \"span_text\": \"Step 1:(...TRUNCATED)
"[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 98 * 3 = 294\", \"ans(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
8*22 + 38
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 [22, 8, 38] exactly once and apply basic arithme(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1, \"numbers\": [22, 8, 38], \"target\": 214,(...TRUNCATED)
["Step 1: 38 * 8 = 304\nStep 2: 304 - 7 = 297\nStep 3: 297 + 17 = 314","Step 1: 38 * 2 = 76\nStep 2:(...TRUNCATED)
["Line uses unavailable numbers: Step 2: 304 - 7 = 297","Line uses unavailable numbers: Step 1: 38 *(...TRUNCATED)
["Step 1: 22 * 8 = 176 \nStep 2: 38 - 176 = -138 \nStep 3: 214 - (-138) = 352 \n\nAlternatively, (...TRUNCATED)
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[null,"(38 * (22 - 8)) - (38 - 24) = 214","Step 1: 22 * 8 = 176\nStep 2: 38 + 176 = 214","(22 * 8) +(...TRUNCATED)
"[{\"extraction_type\": \"final\"}, {\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non(...TRUNCATED)
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[[],[false],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[false],[tr(...TRUNCATED)
[[],["(38 * (22 - 8)) - (38 - 24) = 214"],["Step 1: 22 * 8 = 176\nStep 2: 38 + 176 = 214"],["(22 * 8(...TRUNCATED)
"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 122, \"span_text\": \"((...TRUNCATED)
"[[], [{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_bloc(...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)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
41*14 + 81
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 combine the given numbers [41, 81, 14] using addition, subtracti(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 2, \"numbers\": [41, 81, 14], \"target\": 655(...TRUNCATED)
["","Step 1: 41 * 14 = 574\nStep 2: 574 + 81 = 655","Step 1: 41 + 81 = 122\nStep 2: 122 - 14 = 108\n(...TRUNCATED)
["No <final_answer> or <answer> tag found",null,"Line uses unavailable numbers: Step 3: 108 * 6 = 64(...TRUNCATED)
["Step 1: 41 * 81 = 3321 \nStep 2: 3321 - 14 = 3307 \nStep 3: 3307 - 50 = 3257 \nStep 4: 3257 + 5(...TRUNCATED)
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{"api_url":"http://10.32.36.214:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
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[null,"(41 × 14) + 81 = 655","41 * 14 + 81 = 655",null,"81 * 8 + (41 - 14) = 655",null,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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"[[], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 970, \"span_text\": \"((...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":5,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
75 + 69 + 5
countdown_3arg
countdown
[{"content":"You like to find multiple answers for a question then deliberate over them saying \"Alt(...TRUNCATED)
["To solve this problem using the numbers [5, 75, 69] and basic arithmetic operations, we need to fi(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 4, \"numbers\": [5, 75, 69], \"target\": 149,(...TRUNCATED)
["","Step 1: 75 * 69 = 5175\nStep 2: 5175 - 5 = 5170\nStep 3: 5170 / 5 = 1034","Step 1: 75 - 69 = 6\(...TRUNCATED)
["No <final_answer> or <answer> tag found","Line uses unavailable numbers: Step 3: 5170 / 5 = 1034",(...TRUNCATED)
["Let's work through the problem step by step.\n\n**Given:**\nNumbers: [5, 75, 69] \nTarget: 149\n\(...TRUNCATED)
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["75 + 69 + 5 = 149","Step 1: 75 + 69 = 144 \nStep 2: 144 + 5 = 149","Step 1: 75 + 69 = 144 \nStep(...TRUNCATED)
"[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED)
"[{\"is_correct\": true, \"error\": null, \"answer_block\": \"75 + 69 + 5 = 149\", \"final_answer\":(...TRUNCATED)
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[["75 + 69 + 5 = 149"],["Step 1: 75 + 69 = 144 \nStep 2: 144 + 5 = 149"],["Step 1: 75 + 69 = 144 \(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1419, \"span_text\": \"75 +(...TRUNCATED)
"[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"75 + 69 + 5 = 149\", \"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":11,"pass_at_n":1,"percen(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
13*31 + 35
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 combine the given numbers [13, 31, 35] using basic arithmetic op(...TRUNCATED)
[false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,false,fals(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 6, \"numbers\": [13, 31, 35], \"target\": 438(...TRUNCATED)
["","Step 1: 13 * 31 = 403\nStep 2: 403 - 35 = 368","No valid combination found strictly adhering to(...TRUNCATED)
["No <final_answer> or <answer> tag found","Incorrect final answer","Expected a single '=' separatin(...TRUNCATED)
["Let's think step by step:\n\nAlternative 1:\nTry multiplication first:\n- 35 × 13 = 455\n- 455 (...TRUNCATED)
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["Step 1: 13 × 31 = 403\nStep 2: 403 + 35 = 438","Step 1: 31 * 13 = 403 \nStep 2: 403 + 35 = 438",(...TRUNCATED)
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[["Step 1: 13 × 31 = 403\nStep 2: 403 + 35 = 438"],["Step 1: 31 * 13 = 403 \nStep 2: 403 + 35 = 43(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1324, \"span_text\": \"Step(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
11*(87 - 72)
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 given numbers [11, 72, 87] with the operations of additi(...TRUNCATED)
[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 8, \"numbers\": [11, 72, 87], \"target\": 165(...TRUNCATED)
["Step 1: (72 * 11) = 792\nStep 2: 792 / 87 = 165","Step 1: 72 * 9 = 648\nStep 2: 648 + 11 = 659\nSt(...TRUNCATED)
["Incorrect arithmetic in line: Step 2: 792 / 87 = 165","Line uses unavailable numbers: Step 1: 72 *(...TRUNCATED)
["Let's think step by step.\n\nStep 1: Consider using multiplication to reach a large value quickly.(...TRUNCATED)
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"[[], [], [], [{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 121, \"span_tex(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
50 + 36 + 52
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 combine the given numbers [52, 36, 50] using basic arithmetic op(...TRUNCATED)
[false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,false,true(...TRUNCATED)
alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 9, \"numbers\": [52, 36, 50], \"target\": 138(...TRUNCATED)
["","Step 1: 52 × 4 = 208\nStep 2: 208 - 70 = 138","","Step 1: 52 + 36 = 88\nStep 2: 88 + 50 = 138"(...TRUNCATED)
["No <final_answer> or <answer> tag found","Could not evaluate line: Step 1: 52 × 4 = 208","No <fin(...TRUNCATED)
["Let's think step by step about using [52, 36, 50] to get 138.\n\n**Step 1:** List all possible com(...TRUNCATED)
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5*(94 - 4)
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94 - 18 + 49
countdown_3arg
countdown
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