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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 [37, 27, 3, 84, 5, 80], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each nu... | 84 + 80 - 37 + 3 - 5 + 27 | countdown_6arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [37, 27, 3, 84, 5, 80], create an equation that equals 152. You can use basic arithmetic operations... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 2, \"numbers\": [37, 27, 3, 84, 5, 80], \"target\": 152, \"expression\": \"84 + 80 - 37 + 3 - 5 + 27\"}", "task_source": "countdown"} | test | {"source_dataset": "countdown", "source_index": 2, "numbers": [37, 27, 3, 84, 5, 80], "target": 152, "expression": "84 + 80 - 37 + 3 - 5 + 27"} | [
"<think>\n<sample>\nTo solve this problem, we need to find a combination of the given numbers (37, 27, 3, 84, 5, 80) using addition, subtraction, multiplication, or division such that their result equals 152. Let's go through possible combinations:\n\nFirstly, let’s consider some large numbers since they might help... | [
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"(84 + 80) - (27 - 3 - 5 - 5)",
"84 + 27 + 3 + 5 - 2",
"84 + 80 - (27 - (3 + 5 + 3))",
"84 + 80 - 80/5 = 152"
] | [{"extraction_type": "final", "total_spans_found": 7, "non_overlapping_spans": 7, "span_start": 14447, "span_end": 14477, "original_span": "(84 + 80) - (27 - 3 - 5 - 5)"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 6722, "span_end": 6743, "original_span": "84 + 27 + 3... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(84 + 80) - (27 - 3 - 5 - 5)", "final_answer": 152.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "84 + 27 + 3 + 5 - 2", "final_answer": 152.0}, {"is_correct": false, "error": "Expr... | [
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"(84 + 37 - 27 + (80 - 84 + 3) - 5 + 50)",
"84 + 80 - (37 - 27) + (5 * 2)",
"84 + 37 + (27 + 3)",
"84 * 2 - (80 - 3)",
"(84 + 80) - (3 + 5)",
"Step 1: Calculate 27 - 3 = 24\nStep 2: Subtract 5 twice from 24: 24 - 5 - 5 = 12\nStep 3: Add 84 and 80: 84 + 80 = 164\nStep 4: Subtract 12 from 16... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1961, "span_text": "(84 + 37 - 27 + (80 - 84 + 3) - 5 + 50)", "extraction_type": "internal", "span_start": 1961, "span_end": 2002, "original_span": "(84 + 37 - 27 + (80 - 84 + 3) - 5 + 50)"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 51... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(84 + 37 - 27 + (80 - 84 + 3) - 5 + 50)", "final_answer": 152.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "84 + 80 - (37 - 27) + (5 * 2)", "final_answer": 152.0}, {"is_correct":... | {
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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 [27, 48, 64, 20, 81, 45], create an equation that equals 719. You can use basic arithmetic operations (+, -, *, /) and each ... | 20*(64 + 48 - 27 - 45) - 81 | countdown_6arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 48, 64, 20, 81, 45], create an equation that equals 719. You can use basic arithmetic operatio... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 3, \"numbers\": [27, 48, 64, 20, 81, 45], \"target\": 719, \"expression\": \"20*(64 + 48 - 27 - 45) - 81\"}", "task_source": "countdown"} | test | {"source_dataset": "countdown", "source_index": 3, "numbers": [27, 48, 64, 20, 81, 45], "target": 719, "expression": "20*(64 + 48 - 27 - 45) - 81"} | [
"To solve this problem, we need to find a way to combine the given numbers (27, 48, 64, 20, 81, 45) using addition, subtraction, multiplication, or division such that their result equals 719. Let’s break down the process:\n\nFirstly, let's consider if there might be any straightforward combinations involving large ... | [
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"81 * 9 - 45 + 35",
"((27 - 9) * ((48 + 64) / 5) + 20 / 2) = 719",
"81 * 9 - 10",
"\\(45 \\times 16 - 1 = 719\\)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2634, "span_end": 2652, "original_span": "81 * 9 - 45 + 35"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 6698, "span_end": 6743, "original_span": "((27 - 9) * ((48 + 64) / ... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "81 * 9 - 45 + 35", "final_answer": 719.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((27 - 9) * ((48 + 64) / 5) + 20 / 2) = 719", "final_answer": 719.0}, {"is_correct":... | [
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"81 * 9 - 45 + 35"
],
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"81 * (45 / 5) - (48 - (45 + 3))",
"(81 - 45) × 20 - 1",
"((27 - 9) * ((48 + 64) / 5) + 20 / 2) = 719",
"((27 - 9) * ((48 + 64) / 5) + 20 / 2) = 719"
],
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"(81 * 9) - 10",
"(64*11)+45-20+27-37",
"81 * 9 - (48 - 38)",
"(81 * 45) - (64 + 48 + 27 + ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2634, "span_text": "81 * 9 - 45 + 35", "extraction_type": "internal", "span_start": 2634, "span_end": 2652, "original_span": "81 * 9 - 45 + 35"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1558, "span_text": "81 * (45 / 5) - (48 - (45 ... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "81 * 9 - 45 + 35", "final_answer": 719.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "81 * (45 / 5) - (48 - (45 + 3))", "final_answer": 719.0}, {"is_correct": false, "... | {
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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 [74, 44, 56, 9, 59, 71], create an equation that equals 492. You can use basic arithmetic operations (+, -, *, /) and each n... | 9*56 - 71 - 59 + 74 + 44 | countdown_6arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 44, 56, 9, 59, 71], create an equation that equals 492. You can use basic arithmetic operation... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5, \"numbers\": [74, 44, 56, 9, 59, 71], \"target\": 492, \"expression\": \"9*56 - 71 - 59 + 74 + 44\"}", "task_source": "countdown"} | test | {"source_dataset": "countdown", "source_index": 5, "numbers": [74, 44, 56, 9, 59, 71], "target": 492, "expression": "9*56 - 71 - 59 + 74 + 44"} | [
"<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\n1. Identify all available numbers: The given set includes {74, 44, 56, 9, 59, 71}.\n2. Determine possible combinations using these numbers with addition, subtract... | [
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"74 + 71 + 56 + 59 - 28 = 492",
"74 * 71 - 56 * 9 + 44 - 59",
"Step 1: Calculate \\(74 \\times 6 = 444\\).\nStep 2: Subtract 56 from 444: \\(444 - 56 = 388\\).\nStep 3: Add 59 to 388: \\(388 + 59 = 447\\).\nStep 4: Finally, add 44 to 447: \\(447 + 44 = 492\\).",
"74 * 6 + 56 - 8"
] | [{"extraction_type": "final", "total_spans_found": 5, "non_overlapping_spans": 5, "span_start": 9522, "span_end": 9552, "original_span": "74 + 71 + 56 + 59 - 28 = 492"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2291, "span_end": 2319, "original_span": "74 * 71 - 56 ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "74 + 71 + 56 + 59 - 28 = 492", "final_answer": 492.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "74 * 71 - 56 * 9 + 44 - 59", "final_answer": 492.0}, {"is_correct": false, "error"... | [
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"74 * 6 + 9 + 59 + 71 = 492",
"\\(74 \\times 56 + 9 = 4153\\)\n\nUpon review, achieving exactly 492 seems elusive under strict conditions. Given the closest achievable through basic operations is 4153, we recognize the task may involve non-standard interpretations or errors in initial assumptions. Thus, t... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1792, "span_text": "74 * 6 + 9 + 59 + 71 = 492", "extraction_type": "internal", "span_start": 1792, "span_end": 1820, "original_span": "74 * 6 + 9 + 59 + 71 = 492"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4188, "span_text": "\\(74 \\... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "74 * 6 + 9 + 59 + 71 = 492", "final_answer": 492.0}, {"is_correct": false, "error": "Could not evaluate line: \\(74 \\times 56 + 9 = 4153\\)", "answer_block": "\\(74 \\times 56 + 9 = 4153\\)\n\nUpon review, achieving exactly 49... | {
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} | 2025-11-19 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 27*(75 - 52 - 17 + 37 - 33) | countdown_6arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 16, \\\"numbers\(...TRUNCATED) | test | "{\"source_dataset\": \"countdown\", \"source_index\": 16, \"numbers\": [75, 17, 52, 33, 37, 27], \"(...TRUNCATED) | ["<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a plan and go r(...TRUNCATED) | [
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] | ["75 * 3 + (52 - 17)","(75 * 3) + (52 - 17) + 10","75 * 3 + (52 - 7)","Step 1: Calculate 75 * 3 = 22(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 3, \"non_overlapping_spans\": 3, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [
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] | [["52 * 5 + 27 - 17 = 270","75 * 3 + (52 - 17)","75 * 3 + (52 - 17)"],["75 * 3 + 45","(75 * 3) + (52(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1949, \"span_text\": \"52 *(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answe(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-11-19 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 27*(52 - 12 - 37 + 4 + 10) | countdown_6arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 19, \\\"numbers\(...TRUNCATED) | test | "{\"source_dataset\": \"countdown\", \"source_index\": 19, \"numbers\": [27, 4, 37, 10, 12, 52], \"t(...TRUNCATED) | ["<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a plan and go r(...TRUNCATED) | [
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"52 * 8 + 37 + 10 - 4",
"(37 * 12) + (27 - 12)",
"52 * (37 + (10 - 4))",
"52 * 9 - 37 - 10 - 4 - 27"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 7, \"non_overlapping_spans\": 7, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answer(...TRUNCATED) | [[false,false,false,false,false,false,false],[false,false,false,false,false,false],[false,false,fals(...TRUNCATED) | [["It is not possible to form the number 459 using the numbers [27, 4, 37, 10, 12, 52] exactly once (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1756, \"span_text\": \"It i(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"It is n(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-11-19 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 34*22 - 67 - 84 + 3 - 55 | countdown_6arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 20, \\\"numbers\(...TRUNCATED) | test | "{\"source_dataset\": \"countdown\", \"source_index\": 20, \"numbers\": [3, 55, 22, 34, 84, 67], \"t(...TRUNCATED) | ["<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a plan and go r(...TRUNCATED) | [
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] | ["55 * 9 + (84 - 34)","84 * 7 - (67 - 22 - 2)","Step 1: Calculate 55 * 9 = 495\nStep 2: Sum 3 + 22 +(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answer(...TRUNCATED) | [
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] | [["55 * 9 + (84 - 34)","55 * 9 + (84 - 34)"],["55 * 10 - 5","55 * 9 + 34 - 22 + 67 - 3","(55 * 9) + (...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1945, \"span_text\": \"55 *(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answe(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-11-19 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 52*(16 + 81 - 79) - 69 - 88 | countdown_6arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 22, \\\"numbers\(...TRUNCATED) | test | "{\"source_dataset\": \"countdown\", \"source_index\": 22, \"numbers\": [81, 79, 88, 69, 52, 16], \"(...TRUNCATED) | ["<think>\n<sample>\nTo solve this problem, we need to find a way to combine the given numbers (81, (...TRUNCATED) | [
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"(88 * 9) - 13",
"88 * 9 - 113",
"81 + 79 + 88 - 69 - 52 - 16 = 779",
"81 * 9 + 79 - 16"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 9, \"non_overlapping_spans\": 9, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression uses an unavailable or repeated number\", \"answer(...TRUNCATED) | [
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] | [["(81 * 9) - 16 + (88 - 52)","((88 * 81) / 79 - 90) + (69 * 10 - 1)","88 * 9 - (81 - 69 + 16 - 16)"(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1990, \"span_text\": \"(81 (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\":(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-11-19 |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 28*(37 - 19 + 26 + 19 - 40) | countdown_6arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 27, \\\"numbers\(...TRUNCATED) | test | "{\"source_dataset\": \"countdown\", \"source_index\": 27, \"numbers\": [19, 19, 37, 26, 40, 28], \"(...TRUNCATED) | ["To solve this problem, we need to use the given numbers [19, 19, 37, 26, 40, 28] exactly once alon(...TRUNCATED) | [
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