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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 [18, 94, 49], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 94 - 18 + 49 | countdown_3arg | countdown | [
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"To solve this problem, we need to find a combination of the given numbers [18, 94, 49] using basic arithmetic operations that equal 125.\n\nFirst, let's consider some possible combinations:\n\n1. We could try adding or subtracting these numbers directly:\n - 18 + 94 - 49 = 73 (not close)\n - 18 * 94 - 49 = 166... | [
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"Step 1: 18 / 2 = 9\nStep 2: 9 + 80 = 89\nStep 3: 89 - 49 = 40\nStep 4: 40 + 9 = 49\nStep 5: 49 - 10 = 39\nStep 6: 39 - 10 = 29\nStep 7: 29 + 125 = 125",
"Step 1: 94 ÷ 49 = 1 remainder 45\nStep 2: 45 + 18 = 63\nStep 3: 63 + 62 = 125",
"Step 1: 94 - 49 = 45\nStep 2: 45 + ... | [
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"tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equation, I don't need to write =125, I think, as it's implied.\n\nIn the single equation format, it's just the expression that equals 125.\n\nIn... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 5052, "span_text": "tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equation, I don't need to write =125, I think, as it's implied.\n\nIn th... | [[{"is_correct": false, "error": "Could not evaluate line: In the equation, I don't need to write =125, I think, as it's implied.", "answer_block": "tags.\n\nAlso, in the example, for single equation, they wrote (1 + 2) / 3, which equals 1.\n\nSimilarly, I can write (94 + 49) - 18\n\nWhich equals 125.\n\nIn the equatio... | {
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First, I should look at the target number, 125. I know that 125 is 5 cubed, but I don't have a 5, so that might not help directly. 125 is also ... | 8 | [
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"<sample>\nI need to form 125 from the numbers 18, 94, and 49 using basic operations and using each number exactly once.\n\nFirst thoughts on the target: 125 is 5^3, and also equals 100 + 25 or 150 - 25. None of those decompositions map cleanly to 18, 94, and 49 at a glance.\n\nScan the given numbers:\n- 94 is near... |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 5*(94 - 4) | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem using the numbers [4, 94, 5] with basic arithmetic operations and ensuring e(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 11, \"numbers\": [4, 94, 5], \"target\": 450,(...TRUNCATED) | ["","94 + 45 * 5 = 450","","Step 1: 94 * 5 = 470\nStep 2: 470 - 20 = 450","Step 1: 94 + 49 = 143\nSt(...TRUNCATED) | ["No <final_answer> or <answer> tag found","Expression does not equal stated result","No <final_answ(...TRUNCATED) | ["<think>\nFirst, I have the numbers [4, 94, 5] and I need to create an equation that equals 450 usi(...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":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem, we need to use the numbers [22, 8, 38] exactly once and apply basic arithme(...TRUNCATED) | [false,false,false,false,true,false,true,false,false,false,false,false,false,false,false,false,false(...TRUNCATED) | "{\"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) | ["<think>\nI have the numbers [22, 8, 38] and need to make an equation that equals 214 using basic a(...TRUNCATED) | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 75 + 69 + 5 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem using the numbers [5, 75, 69] and basic arithmetic operations, we need to fi(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,true,false,false,false,true,false(...TRUNCATED) | "{\"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) | ["<think>\nI have the numbers [5, 75, 69] and need to make 149 using basic arithmetic operations: ad(...TRUNCATED) | [
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""
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} | ["<sample>\nI’m aiming for 658 using 98, 28, and 20 with +, -, ×, ÷, each number at most once. S(...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":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem, we need to combine the given numbers [41, 81, 14] using addition, subtracti(...TRUNCATED) | [false,true,false,true,true,true,false,false,true,false,false,true,false,true,false,true,false,true,(...TRUNCATED) | "{\"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) | ["<think>\nI have the numbers [41, 81, 14] and need to make an equation that equals 655 using basic (...TRUNCATED) | [
false
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""
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false
] | ["tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be pr(...TRUNCATED) | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: 40*14 = 560\", \"answer_block\(...TRUNCATED) | [
[
false
]
] | [["tags.\n\nAlso, for the single equation, it should be like (41 * 14) + 81 or something.\n\nTo be p(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 4171, \"span_text\": \"tags(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Line uses unavailable numbers: 40*14 = 560\", \"answer_block(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | [{"content":"# Instructions\nRewrite the entire response from the model but in your own words. Separ(...TRUNCATED) | "I have the numbers [41, 81, 14] and need to make an equation that equals 655 using basic arithmetic(...TRUNCATED) | 2 | ["<sample>\nFind an expression using 41, 81, and 14 exactly once with +, -, *, / that equals 655.\n<(...TRUNCATED) | [
false
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""
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"backend": "openai",
"model_name": "gpt-5",
"n_responses": 1
} | ["<sample>\nFind an expression using 41, 81, and 14 exactly once with +, -, *, / that equals 655.\n<(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 26*20 + 95 | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | ["To solve this problem, we need to find a combination of the given numbers [20, 26, 95] using basic(...TRUNCATED) | [true,true,false,true,false,false,false,true,true,false,false,true,true,false,false,false,false,fals(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 13, \"numbers\": [20, 26, 95], \"target\": 61(...TRUNCATED) | ["Step 1: 26 * 20 = 520\nStep 2: 520 + 95 = 615","Step 1: 20 * 26 = 520\nStep 2: 520 + 95 = 615","(2(...TRUNCATED) | [null,null,"Expression does not equal stated result",null,"Line uses unavailable numbers: Step 2: -6(...TRUNCATED) | ["<think>\nI have the numbers [20, 26, 95] and need to create an equation that equals 615 using basi(...TRUNCATED) | [
false
] | [
""
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} | [
true
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"(20 * 26) + 95"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 4, \"non_overlapping_spans\": 4, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(20 * 26) + 95\", \"final_answer\": 61(...TRUNCATED) | [
[
false,
true,
true,
true
]
] | [["tags.\n\nAlso, the problem says: \"your solution should include a series of steps... or it should(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 3422, \"span_text\": \"tags(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Error evaluating final answer\", \"answer_block\": \"tags.\\(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":1,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | [{"content":"# Instructions\nRewrite the entire response from the model but in your own words. Separ(...TRUNCATED) | "I have the numbers [20, 26, 95] and need to create an equation that equals 615 using basic arithmet(...TRUNCATED) | 9 | ["<sample>\nI want an expression using 20, 26, and 95 exactly once with +, -, *, /. Since 615 is lar(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"n":1},"model_na(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5",
"n_responses": 1
} | ["<sample>\nI want an expression using 20, 26, and 95 exactly once with +, -, *, /. Since 615 is lar(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 11*(87 - 72) | countdown_3arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...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) | "{\"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) | ["<think>\nI have the numbers [11, 72, 87] and need to make 165 using basic arithmetic operations: a(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"https://api.together.xyz/v1","backend":"openai","chat_template_applied":false,"generatio(...TRUNCATED) | {
"backend": "openai",
"model_name": "deepseek-ai/DeepSeek-R1",
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} | [
true
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"(87 - 72) * 11"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(87 - 72) * 11\", \"final_answer\": 16(...TRUNCATED) | [
[
false,
true
]
] | [["tags.\n\nSo, I'll go with the single equation for brevity.\n\nI could do steps to be clear.\n\nBu(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2613, \"span_text\": \"tags(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"tags.\\(...TRUNCATED) | {"flips_by":[0],"flips_total":0,"num_correct":1,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED) | [{"content":"# Instructions\nRewrite the entire response from the model but in your own words. Separ(...TRUNCATED) | "I have the numbers [11, 72, 87] and need to make 165 using basic arithmetic operations: addition, s(...TRUNCATED) | 5 | ["<sample>\nI’m given the numbers 11, 72, and 87, and I need to reach 165 using only +, −, ×, (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"n":1},"model_na(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5",
"n_responses": 1
} | ["<sample>\nI’m given the numbers 11, 72, and 87, and I need to reach 165 using only +, −, ×, (...TRUNCATED) |
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