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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 [75, 47, 43], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 47 + 75 + 43 | countdown_3arg | countdown | [
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"To solve the problem, we need to use the numbers [75, 47, 43] and the arithmetic operations (+, -, *, /) to reach the target number 165. Let's break it down:\n\nStep 1: Start with the number 75.\nStep 2: Add 43 to 75.\nStep 3: Subtract 47 from the result of Step 2.\n\nLet's perform these steps:\n\nStep 1: 75 + 43 ... | [
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"Step 1: 75 + 43 = 118\nStep 2: 118 - 47 = 71\nStep 3: 71 + 94 = 165",
"Step 1: 75 * 43 = 3,375\nStep 2: 3,375 - 47 = 3,328\nStep 3: 3,328 / 43 = 78",
"Step 1: 75 + 43 = 118\nStep 2: 118 - 47 = 71\nStep 3: 71 * 2 = 142\nStep 4: 142 + 23 = 165",
"Step 1: 43 + 47 = 90\nStep 2: 90 + 75 = 165",
"Step 1: 75 + 47... | [
"Line uses unavailable numbers: Step 3: 71 + 94 = 165",
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"Line uses unavailable numbers: Step 3: 71 * 2 = 142",
null,
"Line uses unavailable numbers: Step 3: 79 * 2 = 158",
"Line uses unavailable numbers: Step 3: 71 + 94 = 165",
"Incorrect final answer"... | [
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I have the numbers [75, 47, 43] and need to make 165 using basic arithmetic operations: addition, subtraction, multiplication, and division. Each number can only be used once.
First, I should consider what operations might get me close to 165. Since 165 is larger than all the numbers except 75, multiplication ... | 3,918 | [
"To solve the problem of creating an equation equal to 165 using the numbers [75, 47, 43] with basic arithmetic operations (+, -, *, /), I considered possible combinations. Since 165 is larger than the individual numbers except 75, addition was a straightforward approach. Adding 47 and 43 gives 90, and then adding ... | [
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 68*9 - 94 | 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 [68, 94, 9] using basic (...TRUNCATED) | [false,false,false,false,false,false,false,true,false,false,false,false,false,false,false,false,fals(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 694, \"numbers\": [68, 94, 9], \"target\": 51(...TRUNCATED) | ["Step 1: 527\nStep 2: -9 = 518","Step 1: 162 - 94 = 68\nStep 2: 68 + 94 = 162\nStep 3: 162 * 3 = 48(...TRUNCATED) | ["Missing '=' in line: Step 1: 527","Line uses unavailable numbers: Step 1: 162 - 94 = 68","No <fina(...TRUNCATED) | ["<think>\nI have the numbers [68, 94, 9] and need to make an equation that equals 518 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) | 20 + 78 + 40 | 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 [78, 20, 40] using addition, subtracti(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,true,false,false,false,false,false,true,false(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 83, \"numbers\": [78, 20, 40], \"target\": 13(...TRUNCATED) | ["Step 1: 78 - 20 = 58\nStep 2: 58 + 40 = 98\nStep 3: 98 * 40 = 3920\nStep 4: 3920 + 40 = 138","Step(...TRUNCATED) | ["Line uses unavailable numbers: Step 3: 98 * 40 = 3920","Missing '=' in line: Step 2: 1560 / 11 ≈(...TRUNCATED) | ["<think>\nFirst, I have the numbers [78, 20, 40] and I need to create an equation that equals 138 u(...TRUNCATED) | [
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""
] | {"api_url":"http://127.0.0.1:36123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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} | ["<think>\nFirst, I have the numbers [72, 22, 91] and I need to use them to make 141 using addition,(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 60 - 23 + 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 use the numbers [23, 60, 81] and apply basic arithmetic operatio(...TRUNCATED) | [false,false,false,false,false,true,true,false,false,true,false,false,false,false,true,false,false,f(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 2488, \"numbers\": [23, 60, 81], \"target\": (...TRUNCATED) | ["Step 1: 23 + 60 = 83\nStep 2: 83 + 35 = 118","Step 1: 81 - 23 = 58\nStep 2: 58 * 60 = 3480\nStep 3(...TRUNCATED) | ["Line uses unavailable numbers: Step 2: 83 + 35 = 118","Line uses unavailable numbers: Step 3: 3480(...TRUNCATED) | ["<think>\nI have the numbers [23, 60, 81] and need to make an equation that equals 118 using basic (...TRUNCATED) | [
false
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""
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"60 + 81 - 23"
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] | [
[
"(your answer)",
"60 + 81 - 23"
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] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 4151, \"span_text\": \"(you(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"(your a(...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 word for word exactly as you(...TRUNCATED) | "<think>\nI have the numbers [23, 60, 81] and need to make an equation that equals 118 using basic a(...TRUNCATED) | 2,017 | ["The equation that equals 118 using the numbers [23, 60, 81] with basic arithmetic operations is \\(...TRUNCATED) | [
false
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""
] | {"api_url":"http://127.0.0.1:36123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 1
} | ["The equation that equals 118 using the numbers [23, 60, 81] with basic arithmetic operations is \\(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 8*88 + 49 | 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 [88, 8, 49] and apply basic arithmetic operation(...TRUNCATED) | [false,true,false,false,true,true,true,false,true,true,false,false,true,true,true,false,true,false,f(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 1543, \"numbers\": [88, 8, 49], \"target\": 7(...TRUNCATED) | ["Step 1: 88 + 8 = 96\nStep 2: 96 + 49 = 145\nStep 3: 145 + 8 = 153\nStep 4: 153 + 8 = 161\nStep 5: (...TRUNCATED) | ["Line uses unavailable numbers: Step 3: 145 + 8 = 153",null,"Line uses unavailable numbers: Step 3:(...TRUNCATED) | ["<think>\nI have the numbers [88, 8, 49] and need to make 753 using basic arithmetic operations: ad(...TRUNCATED) | [
false
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""
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"(88 * 8) + 49"
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[
false,
false,
false,
true
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] | [["tags.\n\nSo, I think I'll go with the single equation for simplicity.\n\nBut let me see the probl(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 3990, \"span_text\": \"tags(...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate line: Perhaps: (88 \\u00d7 8) + 49 = 753\(...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 word for word exactly as you(...TRUNCATED) | "<think>\nI have the numbers [88, 8, 49] and need to make 753 using basic arithmetic operations: add(...TRUNCATED) | 1,257 | ["### Rewritten Response\n\n```plaintext\n<think>\nI have the numbers [88, 8, 49] and need to make 7(...TRUNCATED) | [
false
] | [
""
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 1
} | ["### Rewritten Response\n\n```plaintext\n<think>\nI have the numbers [88, 8, 49] and need to make 7(...TRUNCATED) |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 93 - 32 + 53 | 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 [93, 53, 32] and the operations (+, -, *, /) to (...TRUNCATED) | [true,true,true,false,true,true,true,true,false,true,true,false,false,false,true,true,false,true,tru(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 3677, \"numbers\": [93, 53, 32], \"target\": (...TRUNCATED) | ["Step 1: 93 + 53 = 146\nStep 2: 146 - 32 = 114","Step 1: 93 + 53 = 146\nStep 2: 146 - 32 = 114","St(...TRUNCATED) | [null,null,null,"Incorrect final answer",null,null,null,null,"Incorrect arithmetic in line: Step 3: (...TRUNCATED) | ["<think>\nFirst, I have the numbers [93, 53, 32] and I need to use them to make 114 using addition,(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"https://api.together.xyz/v1","backend":"openai","chat_template_applied":false,"generatio(...TRUNCATED) | {
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"model_name": "deepseek-ai/DeepSeek-R1",
"n_responses": 1
} | [
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"Step 1: 93 + 53 = 146\nStep 2: 146 - 32 = 114"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 3, \"non_overlapping_spans\": 3, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"Step 1: 93 + 53 = 146\\nStep 2: 146 - (...TRUNCATED) | [
[
true,
true,
true
]
] | [["tags.\n\nSo, for step-by-step:\n\n<answer>\n\nStep 1: 93 + 53 = 146\n\nStep 2: 146 - 32 = 114","((...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 3891, \"span_text\": \"tags(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"tags.\\n\\nSo, for step-by-step:\\n\\(...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 word for word exactly as you(...TRUNCATED) | "<think>\nFirst, I have the numbers [93, 53, 32] and I need to use them to make 114 using addition, (...TRUNCATED) | 2,952 | ["<answer>\n93 + 53 - 32 = 114\n</answer>\n\nThis solution meets the criteria of being a series of s(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://127.0.0.1:36123","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 1
} | ["<answer>\n93 + 53 - 32 = 114\n</answer>\n\nThis solution meets the criteria of being a series of s(...TRUNCATED) |
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