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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 [96, 97, 68], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 97 + 96 - 68 | countdown_3arg | countdown | [
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"<think>\nOkay, so I need to use the numbers 96, 97, and 68 to make 125 using basic arithmetic operations. Each number can only be used once. Let me think about how to approach this.\n\nFirst, let me list out the numbers again: 96, 97, 68. The target is 125. Since we can use addition, subtraction, multiplication, a... | [
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"(96 + 97) - 68 = 125",
"96 + 97 - 68 = 125",
"(97 - 68) + 96 = 125",
"96 + 97 - 68"
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"(1 + 2) / 3",
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"(96 + 97) - 68",
"(96 + 97) - 68 = 125",
"96 + 97 - 68 = 125",
"96 + 97 - 68 = 125",
"96 + 97 - 68 = 125",
"(96 + 97) - 68 = 125",
"96 + 97 - 68 = 125",
"96 + 97 - 68 = 125",
"(96 + 97) - 68 = 125",
"96 + 97 - ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 3901, "span_text": "(1 + 2) / 3", "extraction_type": "internal", "span_start": 3901, "span_end": 3914, "original_span": "(1 + 2) / 3"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3937, "span_text": "Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1",... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1 + 2) / 3", "final_answer": 125.0}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 1 + 2 = 3", "answer_block": "Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1", "final_answer": 3.0}, {"is_correct": true, "error"... | {
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} | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 46 + 80 - 21 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5001, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5001, \"numbers\": [21, 80, 46], \"target\": (...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 21, 80, and 46 to make an equation that equals 105. Ea(...TRUNCATED) | [
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"(your answer)",
"(80 + 46) - 21",
"80 - 21 + 46 = 105",
"(80 + 46) - 21 = 105"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 11, \"non_overlapping_spans\": 11, \"span_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"(your an(...TRUNCATED) | [[false,false,false,false,false,false,false,false,false,false,false],[true],[false,false,false,false(...TRUNCATED) | [["Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1","(your answer)","Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1","(yo(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 6757, \"span_text\": \"Step(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: Step 1: 1 + 2 = 3\", \"answer(...TRUNCATED) | {"flips_by":[0,0,7,10],"flips_total":17,"num_correct":3,"pass_at_n":1,"percent_correct":0.75,"total_(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 6*96 - 76 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5002, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5002, \"numbers\": [6, 76, 96], \"target\": 5(...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 6, 76, and 96 to make 500 using basic arithmetic opera(...TRUNCATED) | [
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false,
false,
false,
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] | ["None of the combinations yield exactly 500. The closest is 556.","None of the above","96 \\times 6(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of (...TRUNCATED) | [[false],[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,(...TRUNCATED) | [["None of the combinations yield exactly 500. The closest is 556."],["76 \\times 6 + 96 = 552","76 (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 16417, \"span_text\": \"Non(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 42*(12 + 3) | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5003, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5003, \"numbers\": [42, 12, 3], \"target\": 6(...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 42, 12, and 3 exactly once with basic arithmetic opera(...TRUNCATED) | [
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] | "{\"api_url\": \"http://10.32.37.22:9080/v1\", \"backend\": \"litellm\", \"chat_template_applied\": (...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/SkillFactory/M-1119_newmodels__qwen7b_sft1(...TRUNCATED) | [
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"42 \\times (12 + 3)",
null,
"(12 + 3) \\times 42",
"42 \\times (12 + 3)"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 19, \"non_overlapping_spans\": 19, \"span_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"42 \\\\t(...TRUNCATED) | [[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fa(...TRUNCATED) | [["(your answer)","42 \\times (12 + 3)","Step 1: 12 + 3 = 15\nStep 2: 42 \\times 15 = 630","42 \\tim(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 3686, \"span_text\": \"(you(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"(your a(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 86 + 69 - 52 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5005, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5005, \"numbers\": [86, 69, 52], \"target\": (...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 86, 69, and 52 to make 103 using basic arithmetic oper(...TRUNCATED) | [
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"(86 + 69) - 52",
"(86 + 69) - 52",
"(86 + 69) - 52",
"(86 + 69) - 52"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 14, \"non_overlapping_spans\": 14, \"span_(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(86 + 69) - 52\", \"final_answer\": 10(...TRUNCATED) | [[false,false,false,false,false,false,false,false,false,true,true,true,true,true],[true,true],[false(...TRUNCATED) | [["...","Step 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1","(1 + 2) / 3","(your answer)","(your answer)","Step 1(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2581, \"span_text\": \"...\(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"...\", (...TRUNCATED) | {"flips_by":[0,0,1,0],"flips_total":1,"num_correct":4,"pass_at_n":1,"percent_correct":1.0,"total_res(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 63*7 - 87 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5006, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5006, \"numbers\": [63, 7, 87], \"target\": 3(...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 63, 7, and 87 to make an equation that equals 354. Eac(...TRUNCATED) | [
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"",
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] | "{\"api_url\": \"http://10.32.37.22:9080/v1\", \"backend\": \"litellm\", \"chat_template_applied\": (...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/SkillFactory/M-1119_newmodels__qwen7b_sft1(...TRUNCATED) | [
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"63 \\times 7 - 87",
"(63 \\times 7) - 87 = 354",
"None",
"87 \\times 4 + 6"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"63 \\\\t(...TRUNCATED) | [[false],[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,(...TRUNCATED) | [["63 \\times 7 - 87"],["Step 1: 1 + 2 = 3\n\nStep 2: 3 / 3 = 1","(1 + 2) / 3","(your answer)","Step(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 13849, \"span_text\": \"63 (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"63 \\\\(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 19*8 - 50 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5007, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5007, \"numbers\": [8, 50, 19], \"target\": 1(...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 8, 50, and 19 to make an equation that equals 102. Eac(...TRUNCATED) | [
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] | "{\"api_url\": \"http://10.32.37.22:9080/v1\", \"backend\": \"litellm\", \"chat_template_applied\": (...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/SkillFactory/M-1119_newmodels__qwen7b_sft1(...TRUNCATED) | [
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"8 \\times 19 - 50 = 102",
"8 \\times 19 - 50",
"8 \\times 19 - 50",
"19 \\times 8 - 50"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 18, \"non_overlapping_spans\": 18, \"span_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"8 \\\\ti(...TRUNCATED) | [[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fa(...TRUNCATED) | [["8 \\times 19 - 50 = 102","(your answer)","(your answer)","(your answer)","(your answer)","Step 1:(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 5261, \"span_text\": \"8 \\(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"8 \\\\t(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 40 + 46 + 38 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5008, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5008, \"numbers\": [38, 46, 40], \"target\": (...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 38, 46, and 40 to make the number 124 using basic arit(...TRUNCATED) | [
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"38 + 46 + 40 = 124",
"38 + 46 + 40 = 124",
"38 + 46 + 40 = 124",
"38 + 46 + 40 = 124"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"38 + 46 + 40 = 124\", \"final_answer\"(...TRUNCATED) | [[true],[true],[true,true,false,false,true,true,false,false,true,false,false,false,true,false,false,(...TRUNCATED) | [["38 + 46 + 40 = 124"],["38 + 46 + 40 = 124"],["Step 1: 38 + 46 = 84\nStep 2: 84 + 40 = 124","38 + (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 11235, \"span_text\": \"38 (...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"38 + 46 + 40 = 124\", \"final_answer\(...TRUNCATED) | {"flips_by":[0,0,11,0],"flips_total":11,"num_correct":4,"pass_at_n":1,"percent_correct":1.0,"total_r(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 19 + 92 + 21 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5009, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5009, \"numbers\": [92, 21, 19], \"target\": (...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 92, 21, and 19 to make the number 132 using basic arit(...TRUNCATED) | [
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"92 + 21 + 19 = 132",
"92 + 21 + 19 = 132"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"92 + 21 + 19\", \"final_answer\": 132.(...TRUNCATED) | [[true],[true],[false,true,true,false,true,false,true,true,false,true,true,true,true,false,true,true(...TRUNCATED) | [["92 + 21 + 19"],["92 + 21 + 19"],["(your answer)","92 + 21 + 19","92 + 21 + 19 = 132","(your answe(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 5212, \"span_text\": \"92 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"92 + 21 + 19\", \"final_answer\": 132(...TRUNCATED) | {"flips_by":[0,0,14,0],"flips_total":14,"num_correct":4,"pass_at_n":1,"percent_correct":1.0,"total_r(...TRUNCATED) | 2025-12-01 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 23*(21 - 7) | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5010, \\\"number(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5010, \"numbers\": [23, 21, 7], \"target\": 3(...TRUNCATED) | null | null | null | null | null | null | ["<think>\nOkay, so I need to use the numbers 23, 21, and 7 to make 322 using basic arithmetic opera(...TRUNCATED) | [
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] | ["None of the combinations of 23, 21, and 7 using basic arithmetic operations result in 322.",null,"(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 57, \"non_overlapping_spans\": 57, \"span_(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"None of (...TRUNCATED) | [[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fa(...TRUNCATED) | [["\\text{None of the combinations of 23, 21, and 7 using basic arithmetic operations result in 322.(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 15709, \"span_text\": \"\\\(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"\\\\tex(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-12-01 |
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