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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 [76, 44], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 44 + 76 | countdown_2arg | countdown | [
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"To solve this problem using the numbers 76 and 44, we need to find a combination of addition, subtraction, multiplication, and division that will result in 120. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 76 and 44 to 120.\n \n2. **Consider possible... | [
false
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""
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"76 + 44 = 120"
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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 [100, 10], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 100 + 10 | countdown_2arg | 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 [100, 10], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5796, \"numbers\": [100, 10], \"target\": 110, \"expression\": \"100 + 10\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5796, "numbers": [100, 10], "target": 110, "expression": "100 + 10"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers from the list [100, 10] exactly once and combine them using basic arithmetic operations to get the target number 110. Here’s how we can do it:\n\n1. **Start with the first number:** We have 100.\n2. **Add the second number:** Now add 10 to 100.\n - Step 1: \\( 10... | [
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 [14, 14], create an equation that equals 196. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*14 | countdown_2arg | countdown | [
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"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 [14, 14], create an equation that equals 196. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5800, \"numbers\": [14, 14], \"target\": 196, \"expression\": \"14*14\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5800, "numbers": [14, 14], "target": 196, "expression": "14*14"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [14, 14], we need to create an equation that equals 196. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two 14s.\n2. **Multiply the Numbers**: Since multiplication is often easier than addition or subtraction for large numb... | [
false
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"14 \\times 14"
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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, 79], create an equation that equals 175. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 79 | countdown_2arg | 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 [96, 79], create an equation that equals 175. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5811, \"numbers\": [96, 79], \"target\": 175, \"expression\": \"96 + 79\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5811, "numbers": [96, 79], "target": 175, "expression": "96 + 79"} | null | null | null | null | null | null | [
"To solve for the target number 175 using the given numbers 96 and 79 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 175. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the larger numbe... | [
false
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""
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"96 - 79 + 10 \\times 5"
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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 [93, 47], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 93 | countdown_2arg | 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 [93, 47], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5815, \"numbers\": [93, 47], \"target\": 140, \"expression\": \"47 + 93\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5815, "numbers": [93, 47], "target": 140, "expression": "47 + 93"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 93 and 47, we need to find a combination of addition, subtraction, multiplication, and division that will result in 140. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 140 from the given numbers.\n2. **Consider possible... | [
false
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""
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"\\(93 + 47 = 140\\)"
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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 [68, 36], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 68 + 36 | countdown_2arg | 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 [68, 36], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5816, \"numbers\": [68, 36], \"target\": 104, \"expression\": \"68 + 36\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5816, "numbers": [68, 36], "target": 104, "expression": "68 + 36"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 68 and 36 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 104. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 104.\n \n2. **Consider... | [
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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 [80, 63], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 80 + 63 | countdown_2arg | 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 [80, 63], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5822, \"numbers\": [80, 63], \"target\": 143, \"expression\": \"80 + 63\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5822, "numbers": [80, 63], "target": 143, "expression": "80 + 63"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 80 and 63 that equals 143, we need to find a combination of addition, subtraction, multiplication, and division that will result in 143 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
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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 [7, 95], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7 + 95 | countdown_2arg | 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 [7, 95], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5823, \"numbers\": [7, 95], \"target\": 102, \"expression\": \"7 + 95\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5823, "numbers": [7, 95], "target": 102, "expression": "7 + 95"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 7 and 95 with the given constraints, we need to find a combination of addition, subtraction, multiplication, and division that will result in 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 7.\n - \\( 7 \... | [
false
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""
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"7 + 95"
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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 [46, 54], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46 + 54 | countdown_2arg | 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 [46, 54], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5825, \"numbers\": [46, 54], \"target\": 100, \"expression\": \"46 + 54\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5825, "numbers": [46, 54], "target": 100, "expression": "46 + 54"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 46 and 54 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 100. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 100.\n \n2. **Consider... | [
false
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""
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"46 + 54 = 100"
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]
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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 [33, 97], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 97 | countdown_2arg | 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 [33, 97], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5827, \"numbers\": [33, 97], \"target\": 130, \"expression\": \"33 + 97\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5827, "numbers": [33, 97], "target": 130, "expression": "33 + 97"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 33 and 97 that equals 130, we need to find a combination of addition, subtraction, multiplication, and division that will result in 130 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
] | [
""
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"33 + 97"
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[
"33 + 97"
]
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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 [49, 7], create an equation that equals 343. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 49*7 | countdown_2arg | 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 [49, 7], create an equation that equals 343. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5829, \"numbers\": [49, 7], \"target\": 343, \"expression\": \"49*7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5829, "numbers": [49, 7], "target": 343, "expression": "49*7"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 49 and 7, we need to create an equation that equals 343. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 343.\n2. **Consider possible combinations**: Since we have two numbers (49 and 7), let's try differen... | [
false
] | [
""
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false
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"49 \\times 7"
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false
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[
"49 \\times 7"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "49 \\times 7", "start_line": 19, "end_line": 19, "context": "\\boxed{49 \\times 7}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "49 \\times 7", "final_answer": null}]] | {
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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 [70, 31], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 70 + 31 | countdown_2arg | 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 [70, 31], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5831, \"numbers\": [70, 31], \"target\": 101, \"expression\": \"70 + 31\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5831, "numbers": [70, 31], "target": 101, "expression": "70 + 31"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 70 and 31, we need to find a combination of addition, subtraction, multiplication, and division that will result in 101. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 70 and 31.\n2. **Consider possible combinations... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"\\(70 + 31 = 101\\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\(70 + 31 = 101\\)", "start_line": 24, "end_line": 24, "context": "<answer> \\(70 + 31 = 101\\) </answer>", "start_pos": 9... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(70 + 31 = 101\\)", "final_answer": null}] | [
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false
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[
"\\(70 + 31 = 101\\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(70 + 31 = 101\\)", "start_line": 24, "end_line": 24, "context": "<answer> \\(70 + 31... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(70 + 31 = 101\\)", "final_answer": null}]] | {
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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 [5, 22], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*22 | countdown_2arg | 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 [5, 22], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5832, \"numbers\": [5, 22], \"target\": 110, \"expression\": \"5*22\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5832, "numbers": [5, 22], "target": 110, "expression": "5*22"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 5 and 22, we need to find a combination of addition, subtraction, multiplication, and division that will result in 110. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 5 and 22.\n2. **Consider possible c... | [
false
] | [
""
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false
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"\\(5 \\times 22 = 110\\)"
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[
false
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[
"\\(5 \\times 22 = 110\\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(5 \\times 22 = 110\\)", "start_line": 26, "end_line": 26, "context": "<answer> \\(5 ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(5 \\times 22 = 110\\)", "final_answer": null}]] | {
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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 [81, 7], create an equation that equals 567. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 81*7 | countdown_2arg | 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 [81, 7], create an equation that equals 567. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5833, \"numbers\": [81, 7], \"target\": 567, \"expression\": \"81*7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5833, "numbers": [81, 7], "target": 567, "expression": "81*7"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 81 and 7 exactly once to form an equation that equals 567. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 0 to 567 using the numbers 81 and 7.\n \n2. **Consider possible combinations**:\n - Adding/sub... | [
false
] | [
""
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false
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"81 \\times 7"
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[
false
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] | [
[
"81 \\times 7"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "81 \\times 7", "start_line": 20, "end_line": 20, "context": "\\boxed{81 \\times 7}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "81 \\times 7", "final_answer": null}]] | {
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... | 2025-09-24 |
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 [20, 83], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 83 + 20 | countdown_2arg | 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 [20, 83], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5836, \"numbers\": [20, 83], \"target\": 103, \"expression\": \"83 + 20\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5836, "numbers": [20, 83], "target": 103, "expression": "83 + 20"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 20 and 83 with the operations +, -, *, /, we need to find a combination that equals 103. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers, 20 and 83.\n2. **Consider possible combinations**:\n - Addition:... | [
false
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"20 + 83 = 103"
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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 [20, 46], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46*20 | countdown_2arg | 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 [20, 46], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5837, \"numbers\": [20, 46], \"target\": 920, \"expression\": \"46*20\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5837, "numbers": [20, 46], "target": 920, "expression": "46*20"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [20, 46] that equals 920, we need to find a combination of addition, subtraction, multiplication, and division that will result in 920 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to co... | [
false
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""
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false
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"\\(20 \\times 46 = 920\\)"
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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, 13], create an equation that equals 234. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*13 | countdown_2arg | 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 [18, 13], create an equation that equals 234. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5838, \"numbers\": [18, 13], \"target\": 234, \"expression\": \"18*13\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5838, "numbers": [18, 13], "target": 234, "expression": "18*13"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 18 and 13, we need to find a combination of addition, subtraction, multiplication, and division that will result in 234. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 18 and 13.\n2. **Multiply them together**:\n ... | [
false
] | [
""
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"\\(18 \\times 13 = 234\\)"
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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 [77, 10], create an equation that equals 770. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*77 | countdown_2arg | 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 [77, 10], create an equation that equals 770. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5840, \"numbers\": [77, 10], \"target\": 770, \"expression\": \"10*77\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5840, "numbers": [77, 10], "target": 770, "expression": "10*77"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 77 and 10, we need to find a combination of addition, subtraction, multiplication, and division that will result in 770. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 77 and 10.\n2. **Multiply one of t... | [
false
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""
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false
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"\\(77 \\times 10\\)"
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"\\(77 \\times 10\\)"
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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 [64, 86], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 86 + 64 | countdown_2arg | 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 [64, 86], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5841, \"numbers\": [64, 86], \"target\": 150, \"expression\": \"86 + 64\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5841, "numbers": [64, 86], "target": 150, "expression": "86 + 64"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 64 and 86 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 150. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to get the result as 150.\n \n2. **Consider... | [
false
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""
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true
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"64 + 86"
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"64 + 86"
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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 [72, 72], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 72 + 72 | countdown_2arg | 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 [72, 72], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5842, \"numbers\": [72, 72], \"target\": 144, \"expression\": \"72 + 72\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5842, "numbers": [72, 72], "target": 144, "expression": "72 + 72"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [72, 72], we need to create an equation that equals 144. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two 72s.\n2. **Consider Multiplication**: Since multiplication is commutative (i.e., \\(a \\times b = b \\times a\\)), ... | [
false
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""
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false
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"\\(72 + 72 = 144\\)"
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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 [78, 85], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 78 | countdown_2arg | 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 [78, 85], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5849, \"numbers\": [78, 85], \"target\": 163, \"expression\": \"85 + 78\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5849, "numbers": [78, 85], "target": 163, "expression": "85 + 78"} | null | null | null | null | null | null | [
"To solve for the target number 163 using the numbers 78 and 85 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 163 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goa... | [
false
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""
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false
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"\\(78 + 85 = 163\\)"
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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 [85, 41], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 41 | countdown_2arg | 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 [85, 41], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5858, \"numbers\": [85, 41], \"target\": 126, \"expression\": \"85 + 41\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5858, "numbers": [85, 41], "target": 126, "expression": "85 + 41"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 85 and 41 that equals 126, we need to find a combination of addition, subtraction, multiplication, and division that will result in 126 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
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""
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"\\(85 + 41 = 126\\)"
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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, 61], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 61 | countdown_2arg | 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 [98, 61], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5867, \"numbers\": [98, 61], \"target\": 159, \"expression\": \"98 + 61\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5867, "numbers": [98, 61], "target": 159, "expression": "98 + 61"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 98 and 61, we need to find a combination of addition, subtraction, multiplication, and division that will result in 159. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 98 and 61.\n2. **Consider possible combinations... | [
false
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""
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"\\(98 + 61 = 159\\)"
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"\\(98 + 61 = 159\\)"
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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 [88, 37], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 37 | countdown_2arg | 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 [88, 37], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5873, \"numbers\": [88, 37], \"target\": 125, \"expression\": \"88 + 37\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5873, "numbers": [88, 37], "target": 125, "expression": "88 + 37"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 88 and 37, we need to find a combination of addition, subtraction, multiplication, and division that will result in 125. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers, 88 and 37.\n2. **Consider possible... | [
false
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""
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"\\(88 + 37 = 125\\)"
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"\\(88 + 37 = 125\\)"
]
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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 [5, 46], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 46*5 | countdown_2arg | 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 [5, 46], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5875, \"numbers\": [5, 46], \"target\": 230, \"expression\": \"46*5\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5875, "numbers": [5, 46], "target": 230, "expression": "46*5"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [5, 46] that equals 230, we need to find a combination of addition, subtraction, multiplication, and division that will result in 230 when applied to these numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the... | [
false
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""
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false
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"5 \\times 46"
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"5 \\times 46"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "5 \\times 46", "start_line": 32, "end_line": 32, "context": "Therefore, the final answe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "5 \\times 46", "final_answer": null}]] | {
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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 [38, 6], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 38*6 | countdown_2arg | 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 [38, 6], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5878, \"numbers\": [38, 6], \"target\": 228, \"expression\": \"38*6\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5878, "numbers": [38, 6], "target": 228, "expression": "38*6"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 38 and 6 exactly once to get the result 228 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 38 and 6**:\n - First, multiply 38 by 6.\n \\[\n 38 \\times 6 = 228\n \\]\n\nThis multiplication... | [
false
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""
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false
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"38 \\times 6"
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"38 \\times 6"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "38 \\times 6", "start_line": 14, "end_line": 14, "context": "\\boxed{38 \\times 6}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "38 \\times 6", "final_answer": null}]] | {
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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 [30, 30], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 30*30 | countdown_2arg | 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 [30, 30], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5886, \"numbers\": [30, 30], \"target\": 900, \"expression\": \"30*30\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5886, "numbers": [30, 30], "target": 900, "expression": "30*30"} | null | null | null | null | null | null | [
"To solve for 900 using the numbers 30 and 30 exactly once with basic arithmetic operations, we need to find a combination that will yield 900. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 900 from the numbers 30 and 30.\n \n2. **Consider multiplication as... | [
false
] | [
""
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"\\(30 \\times 30\\)"
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"\\(30 \\times 30\\)"
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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 [14, 29], create an equation that equals 406. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*29 | countdown_2arg | 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 [14, 29], create an equation that equals 406. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5889, \"numbers\": [14, 29], \"target\": 406, \"expression\": \"14*29\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5889, "numbers": [14, 29], "target": 406, "expression": "14*29"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [14, 29] that equals 406, we need to find a combination of addition, subtraction, multiplication, and division that will result in 406 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to ge... | [
false
] | [
""
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false
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"43 \\times 8.5"
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"43 \\times 8.5"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "43 \\times 8.5", "start_line": 25, "end_line": 25, "context": "\\boxed{43 \\times 8.5}"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "43 \\times 8.5", "final_answer": null}]] | {
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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 [90, 2], create an equation that equals 180. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 90*2 | countdown_2arg | 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 [90, 2], create an equation that equals 180. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5897, \"numbers\": [90, 2], \"target\": 180, \"expression\": \"90*2\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5897, "numbers": [90, 2], "target": 180, "expression": "90*2"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [90, 2], we need to create an equation that equals 180. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target is 180.\n2. **Consider Multiplication and Addition/Subtraction**:\n - We know that multiplication often helps in cre... | [
false
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""
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false
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"\\( 90 \\times 2 = 180 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 90 \\times 2 = 180 \\)", "start_line": 22, "end_line": 22, "context": "line 22, inside <answer> tags", "start_pos": 875... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 90 \\times 2 = 180 \\)", "final_answer": null}] | [
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[
"\\( 90 \\times 2 = 180 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\( 90 \\times 2 = 180 \\)", "start_line": 22, "end_line": 22, "context": "line 22, ins... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 90 \\times 2 = 180 \\)", "final_answer": null}]] | {
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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 [90, 71], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 90 | countdown_2arg | 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 [90, 71], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5898, \"numbers\": [90, 71], \"target\": 161, \"expression\": \"71 + 90\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5898, "numbers": [90, 71], "target": 161, "expression": "71 + 90"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 90 and 71 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 161. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 90 and 71.\n2. **Addition**: A... | [
false
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""
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"90 + 71"
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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 [12, 21], create an equation that equals 252. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 12*21 | countdown_2arg | 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 [12, 21], create an equation that equals 252. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5900, \"numbers\": [12, 21], \"target\": 252, \"expression\": \"12*21\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5900, "numbers": [12, 21], "target": 252, "expression": "12*21"} | null | null | null | null | null | null | [
"To solve for 252 using the numbers 12 and 21 with basic arithmetic operations, we need to find a combination of these numbers that will yield 252 when combined through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We wan... | [
false
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""
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"\\(12 \\times 21 = 252\\)"
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"\\(12 \\times 21 = 252\\)"
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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 [68, 64], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 68 | countdown_2arg | 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 [68, 64], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5903, \"numbers\": [68, 64], \"target\": 132, \"expression\": \"64 + 68\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5903, "numbers": [68, 64], "target": 132, "expression": "64 + 68"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 68 and 64, we need to find a combination of addition, subtraction, multiplication, and division that will result in 132. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 68 and 64 to 132.\n \n2. **Consider possible... | [
false
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""
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true
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"68 + 64 = 132"
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"68 + 64 = 132"
]
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... | 2025-09-24 |
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 [26, 88], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 26 | countdown_2arg | 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 [26, 88], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5905, \"numbers\": [26, 88], \"target\": 114, \"expression\": \"88 + 26\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5905, "numbers": [26, 88], "target": 114, "expression": "88 + 26"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 26 and 88, we need to find a combination of addition, subtraction, multiplication, and division that will result in 114. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 0 to 114.\n2. **Consider possible combinations... | [
false
] | [
""
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"(88 + 26) - 26"
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[
"(88 + 26) - 26"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(88 + 26) - 26", "start_line": 44, "end_line": 44, "context": "\\boxed{(88 + 26) - 26}"... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(88 + 26) - 26", "final_answer": 114.0}]] | {
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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 [79, 88], create an equation that equals 167. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 88 | countdown_2arg | 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 [79, 88], create an equation that equals 167. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5910, \"numbers\": [79, 88], \"target\": 167, \"expression\": \"79 + 88\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5910, "numbers": [79, 88], "target": 167, "expression": "79 + 88"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 79 and 88, we need to find a combination of addition, subtraction, multiplication, and division that will result in 167 when applied sequentially with these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We hav... | [
false
] | [
""
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"79 + 88"
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[
true
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] | [
[
"79 + 88"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "79 + 88", "start_line": 17, "end_line": 17, "context": "\\boxed{79 + 88}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "79 + 88", "final_answer": 167.0}]] | {
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... | 2025-09-24 |
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 [73, 69], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 73 | countdown_2arg | 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 [73, 69], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5919, \"numbers\": [73, 69], \"target\": 142, \"expression\": \"69 + 73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5919, "numbers": [73, 69], "target": 142, "expression": "69 + 73"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 73 and 69, we need to find a combination of addition, subtraction, multiplication, and division that will result in 142 when applied sequentially with these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begi... | [
false
] | [
""
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true
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"73 + 69"
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[
true
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] | [
[
"73 + 69"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "73 + 69", "start_line": 19, "end_line": 19, "context": "\\boxed{73 + 69}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "73 + 69", "final_answer": 142.0}]] | {
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... | 2025-09-24 |
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 [38, 100], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 38 + 100 | countdown_2arg | 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 [38, 100], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5922, \"numbers\": [38, 100], \"target\": 138, \"expression\": \"38 + 100\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5922, "numbers": [38, 100], "target": 138, "expression": "38 + 100"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 38 and 100 from the given list to form an equation that equals 138 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 138.\n2. **Consider possible combinations**: Since ... | [
false
] | [
""
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true
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"38 + 100 = 138"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "38 + 100 = 138", "start_line": 18, "end_line": 18, "context": "<answer> \\(38 + 100 = 138\\) </answer>", "start_pos": 789, ... | [{"is_correct": true, "error": null, "answer_block": "38 + 100 = 138", "final_answer": 138.0}] | [
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[
"38 + 100 = 138"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "38 + 100 = 138", "start_line": 18, "end_line": 18, "context": "<answer> \\(38 + 100 = 1... | [[{"is_correct": true, "error": null, "answer_block": "38 + 100 = 138", "final_answer": 138.0}]] | {
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... | 2025-09-24 |
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 [21, 100], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 21 + 100 | countdown_2arg | 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 [21, 100], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5925, \"numbers\": [21, 100], \"target\": 121, \"expression\": \"21 + 100\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5925, "numbers": [21, 100], "target": 121, "expression": "21 + 100"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [21, 100] that equals 121, we need to strategically combine these numbers with basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers, 21 and 100.\n \n2. **Add 100 to 21**:\n \\[\... | [
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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 [45, 80], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 80 | countdown_2arg | 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 [45, 80], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5933, \"numbers\": [45, 80], \"target\": 125, \"expression\": \"45 + 80\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5933, "numbers": [45, 80], "target": 125, "expression": "45 + 80"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 45 and 80 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 125. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the result of 125.\n \n2. **Cons... | [
false
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""
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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 [95, 93], create an equation that equals 188. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 93 + 95 | countdown_2arg | 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 [95, 93], create an equation that equals 188. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5935, \"numbers\": [95, 93], \"target\": 188, \"expression\": \"93 + 95\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5935, "numbers": [95, 93], "target": 188, "expression": "93 + 95"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 95 and 93, we need to find a combination of addition, subtraction, multiplication, and division that will result in 188. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 95 and 93.\n2. **Consider Multiplication F... | [
false
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""
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true
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"95 + 93 = 188"
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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 [65, 10], create an equation that equals 650. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*65 | countdown_2arg | 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 [65, 10], create an equation that equals 650. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5943, \"numbers\": [65, 10], \"target\": 650, \"expression\": \"10*65\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5943, "numbers": [65, 10], "target": 650, "expression": "10*65"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 65 and 10 exactly once and combine them using basic arithmetic operations to get the result of 650. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 65 and 10**:\n - This will give us \\( 65 \\times 10 = 650 \\).\n\nSo, the final equati... | [
false
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""
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false
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"\\( 65 \\times 10 \\)"
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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 [43, 3], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*43 | countdown_2arg | 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 [43, 3], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5954, \"numbers\": [43, 3], \"target\": 129, \"expression\": \"3*43\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5954, "numbers": [43, 3], "target": 129, "expression": "3*43"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 43 and 3 from the given list to create an equation that equals 129 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 43 by 3**: This will give us a large number.\n \\[\n 43 \\times 3 = 129\n \\]\n\nSo, t... | [
false
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""
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false
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"43 \\times 3"
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[
"43 \\times 3"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "43 \\times 3", "start_line": 13, "end_line": 13, "context": "\\boxed{43 \\times 3}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "43 \\times 3", "final_answer": null}]] | {
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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 [86, 90], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 86 + 90 | countdown_2arg | 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 [86, 90], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5962, \"numbers\": [86, 90], \"target\": 176, \"expression\": \"86 + 90\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5962, "numbers": [86, 90], "target": 176, "expression": "86 + 90"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 86 and 90 with the given constraints, we need to find a way to combine them into an expression that equals 176. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to make 176 using the numbers 86 and 90.\n \n2. **Consider possib... | [
false
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""
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false
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"(86 \\times 90) + 4"
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[
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(86 \\times 90) + 4", "start_line": 43, "end_line": 43, "context": "\\boxed{(86 \\times... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(86 \\times 90) + 4", "final_answer": null}]] | {
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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 [35, 82], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 35 | countdown_2arg | 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 [35, 82], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5966, \"numbers\": [35, 82], \"target\": 117, \"expression\": \"82 + 35\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5966, "numbers": [35, 82], "target": 117, "expression": "82 + 35"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 35 and 82 that equals 117, we need to find a combination of addition, subtraction, multiplication, and division that will result in 117 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
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""
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false
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"\\(35 + 82\\)"
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"\\(35 + 82\\)"
]
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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 [6, 59], create an equation that equals 354. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 59*6 | countdown_2arg | 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 [6, 59], create an equation that equals 354. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5970, \"numbers\": [6, 59], \"target\": 354, \"expression\": \"59*6\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5970, "numbers": [6, 59], "target": 354, "expression": "59*6"} | null | null | null | null | null | null | [
"To solve for the target number 354 using the given numbers [6, 59], we need to find a combination of addition, subtraction, multiplication, and division that will result in 354. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number**: We begin with 6.\n - \\( 6 \\)\n\n2. ... | [
false
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""
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[]
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[]
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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 [4, 63], create an equation that equals 252. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 63*4 | countdown_2arg | countdown | [
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"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 [4, 63], create an equation that equals 252. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5975, \"numbers\": [4, 63], \"target\": 252, \"expression\": \"63*4\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5975, "numbers": [4, 63], "target": 252, "expression": "63*4"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [4, 63] that equals 252, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 252. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the number ... | [
false
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""
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"63 \\times 4"
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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 [85, 3], create an equation that equals 255. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*85 | countdown_2arg | 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 [85, 3], create an equation that equals 255. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5978, \"numbers\": [85, 3], \"target\": 255, \"expression\": \"3*85\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5978, "numbers": [85, 3], "target": 255, "expression": "3*85"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 85 and 3, we need to find a combination of addition, subtraction, multiplication, and division that will result in 255. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 85 and 3.\n2. **Multiply the two numbers togethe... | [
false
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""
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"\\(85 \\times 3 = 255\\)"
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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 [53, 70], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 53 + 70 | countdown_2arg | 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 [53, 70], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5982, \"numbers\": [53, 70], \"target\": 123, \"expression\": \"53 + 70\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5982, "numbers": [53, 70], "target": 123, "expression": "53 + 70"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 53 and 70, we need to find a combination of addition, subtraction, multiplication, and division that will result in 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 123 from the given numbers 53 and 70.\n \n2. **Co... | [
false
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""
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false
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"\\(53 + 70 = 123\\)"
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"\\(53 + 70 = 123\\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(53 + 70 = 123\\)", "start_line": 31, "end_line": 31, "context": "line 31, inside <an... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(53 + 70 = 123\\)", "final_answer": null}]] | {
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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 [65, 70], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 70 | countdown_2arg | 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 [65, 70], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5986, \"numbers\": [65, 70], \"target\": 135, \"expression\": \"65 + 70\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5986, "numbers": [65, 70], "target": 135, "expression": "65 + 70"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 65 and 70 with the given constraints, we need to find a combination of addition, subtraction, multiplication, and division that will result in 135. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the sum of 135.\n2. ... | [
false
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""
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"65 + 70"
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"65 + 70"
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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, 15], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*15 | countdown_2arg | 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 [18, 15], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5989, \"numbers\": [18, 15], \"target\": 270, \"expression\": \"18*15\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5989, "numbers": [18, 15], "target": 270, "expression": "18*15"} | null | null | null | null | null | null | [
"To solve for 270 using the numbers 18 and 15 with basic arithmetic operations, we need to find a combination of these numbers that will yield 270 when combined through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We wan... | [
false
] | [
""
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false
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"\\(18 \\times 15 = 270\\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\(18 \\times 15 = 270\\)", "start_line": 21, "end_line": 21, "context": "<answer> \\(18 \\times 15 = 270\\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(18 \\times 15 = 270\\)", "final_answer": null}] | [
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"\\(18 \\times 15 = 270\\)"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(18 \\times 15 = 270\\)", "start_line": 21, "end_line": 21, "context": "<answer> \\(1... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(18 \\times 15 = 270\\)", "final_answer": null}]] | {
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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 [47, 84], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 84 | countdown_2arg | 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 [47, 84], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5993, \"numbers\": [47, 84], \"target\": 131, \"expression\": \"47 + 84\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5993, "numbers": [47, 84], "target": 131, "expression": "47 + 84"} | null | null | null | null | null | null | [
"To solve for the target number 131 using the given numbers 47 and 84 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 131. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We nee... | [
false
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""
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false
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"\\( 84 \\div 7 = 12 \\)\n\\( 12 + 12 = 24 \\)\n\\( 24 - 14 = 10 \\)\n\\( 10 + 11 = 21 \\)\n\\( 21 + 100 = 121 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 84 \\div 7 = 12 \\)\n\\( 12 + 12 = 24 \\)\n\\( 24 - 14 = 10 \\)\n\\( 10 + 11 = 21 \\)\n\\( 21 + 100 = 121 \\)", "start_... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 84 \\div 7 = 12 \\)\n\\( 12 + 12 = 24 \\)\n\\( 24 - 14 = 10 \\)\n\\( 10 + 11 = 21 \\)\n\\( 21 + 100 = 121 \\)", "final_answer": null}] | [
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]
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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 [3, 40], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*40 | countdown_2arg | 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 [3, 40], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5997, \"numbers\": [3, 40], \"target\": 120, \"expression\": \"3*40\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5997, "numbers": [3, 40], "target": 120, "expression": "3*40"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [3, 40], we need to find a combination of basic arithmetic operations that will result in 120 when applied to these numbers exactly once. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the number 120.\n2. **Consider pos... | [
false
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""
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"40 \\times 3"
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"40 \\times 3"
]
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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 [14, 60], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60*14 | countdown_2arg | 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 [14, 60], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6019, \"numbers\": [14, 60], \"target\": 840, \"expression\": \"60*14\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6019, "numbers": [14, 60], "target": 840, "expression": "60*14"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 14 and 60 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 840. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 840.\n \n2. **Consider... | [
false
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""
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false
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"60 \\times 14"
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"60 \\times 14"
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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 [77, 99], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 77 + 99 | countdown_2arg | 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 [77, 99], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6020, \"numbers\": [77, 99], \"target\": 176, \"expression\": \"77 + 99\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6020, "numbers": [77, 99], "target": 176, "expression": "77 + 99"} | null | null | null | null | null | null | [
"To solve for the target number 176 using the given numbers 77 and 99, we need to find a combination of addition, subtraction, multiplication, and division that will result in 176 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to ge... | [
false
] | [
""
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false
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"\\(77 + 99\\)"
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"\\(77 + 99\\)"
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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 [6, 96], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6 + 96 | countdown_2arg | 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 [6, 96], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6022, \"numbers\": [6, 96], \"target\": 102, \"expression\": \"6 + 96\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6022, "numbers": [6, 96], "target": 102, "expression": "6 + 96"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 6 and 96 with the given constraints, we need to find a combination of addition, subtraction, multiplication, and division that will result in 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 6 and 96 to 102.\n ... | [
false
] | [
""
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"6 + 96 = 102"
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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 [7, 65], create an equation that equals 455. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*65 | countdown_2arg | 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 [7, 65], create an equation that equals 455. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6029, \"numbers\": [7, 65], \"target\": 455, \"expression\": \"7*65\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6029, "numbers": [7, 65], "target": 455, "expression": "7*65"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [7, 65] that equals 455, we need to find a combination of addition, subtraction, multiplication, and division that will result in 455 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"7 \\times 65"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "7 \\times 65", "start_line": 29, "end_line": 29, "context": "\\boxed{7 \\times 65}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "7 \\times 65", "final_answer": null}]] | {
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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 [11, 54], create an equation that equals 594. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 54*11 | countdown_2arg | 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 [11, 54], create an equation that equals 594. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6030, \"numbers\": [11, 54], \"target\": 594, \"expression\": \"54*11\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6030, "numbers": [11, 54], "target": 594, "expression": "54*11"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 11 and 54 that equals 594, we need to find a combination of addition, subtraction, multiplication, and division that will result in 594 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
] | [
""
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false
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null
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[]
] | [
[]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 0, "internal_spans_detailed": [], "span_positions": []} | [[]] | {
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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 [79, 46], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46 + 79 | countdown_2arg | 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 [79, 46], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6031, \"numbers\": [79, 46], \"target\": 125, \"expression\": \"46 + 79\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6031, "numbers": [79, 46], "target": 125, "expression": "46 + 79"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 79 and 46, we need to find a combination of addition, subtraction, multiplication, and division that will result in 125. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 125 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
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"(79 - 46) + 46 \\times 2"
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[
"(79 - 46) + 46 \\times 2"
]
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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 [91, 91], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 91 | countdown_2arg | 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 [91, 91], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6044, \"numbers\": [91, 91], \"target\": 182, \"expression\": \"91 + 91\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6044, "numbers": [91, 91], "target": 182, "expression": "91 + 91"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [91, 91], we need to create an equation that equals 182. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two 91s.\n2. **Addition Strategy**: Adding these two 91s together will give us a sum close to our target (182).\n - \... | [
false
] | [
""
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false
] | [
"\\( 91 + 91 = 182 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 91 + 91 = 182 \\)", "start_line": 14, "end_line": 14, "context": "<answer> \\( 91 + 91 = 182 \\) </answer>", "start_pos... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 91 + 91 = 182 \\)", "final_answer": null}] | [
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false
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[
"\\( 91 + 91 = 182 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\( 91 + 91 = 182 \\)", "start_line": 14, "end_line": 14, "context": "<answer> \\( 91 +... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 91 + 91 = 182 \\)", "final_answer": null}]] | {
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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 [93, 90], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 93 + 90 | countdown_2arg | 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 [93, 90], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6049, \"numbers\": [93, 90], \"target\": 183, \"expression\": \"93 + 90\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6049, "numbers": [93, 90], "target": 183, "expression": "93 + 90"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 93 and 90, we need to find a way to combine them into an expression that equals 183. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 93 and 90.\n2. **Consider Multiplication**: Since multiplication often helps i... | [
false
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""
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"(93 - 90) * 90"
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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 [100, 61], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 61 + 100 | countdown_2arg | 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 [100, 61], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6050, \"numbers\": [100, 61], \"target\": 161, \"expression\": \"61 + 100\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6050, "numbers": [100, 61], "target": 161, "expression": "61 + 100"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 100 and 61 from the given list to form an equation that equals 161 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the result 161.\n2. **Consider possible combinations**: ... | [
false
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""
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"100 + 61"
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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 [95, 74], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 74 | countdown_2arg | 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 [95, 74], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6053, \"numbers\": [95, 74], \"target\": 169, \"expression\": \"95 + 74\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6053, "numbers": [95, 74], "target": 169, "expression": "95 + 74"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 95 and 74, we need to find a combination of addition, subtraction, multiplication, and division that will result in 169. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 169 from the given numbers.\n2. **Consider possible... | [
false
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""
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null
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[]
] | [
[]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 0, "internal_spans_detailed": [], "span_positions": []} | [[]] | {
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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 [88, 52], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 52 | countdown_2arg | 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 [88, 52], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6057, \"numbers\": [88, 52], \"target\": 140, \"expression\": \"88 + 52\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6057, "numbers": [88, 52], "target": 140, "expression": "88 + 52"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 88 and 52, we need to find a combination of addition, subtraction, multiplication, and division that will result in 140. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 140 from the given numbers.\n2. **Consider possible... | [
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 [16, 91], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16 + 91 | countdown_2arg | 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 [16, 91], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6062, \"numbers\": [16, 91], \"target\": 107, \"expression\": \"16 + 91\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6062, "numbers": [16, 91], "target": 107, "expression": "16 + 91"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 16 and 91 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 107. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 107.\n2. **Consider poss... | [
false
] | [
""
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true
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"16 + 91 = 107"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "16 + 91 = 107", "start_line": 25, "end_line": 25, "context": "<answer> \\(16 + 91 = 107\\) </answer>", "start_pos": 845, "e... | [{"is_correct": true, "error": null, "answer_block": "16 + 91 = 107", "final_answer": 107.0}] | [
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"16 + 91 = 107"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "16 + 91 = 107", "start_line": 25, "end_line": 25, "context": "<answer> \\(16 + 91 = 107... | [[{"is_correct": true, "error": null, "answer_block": "16 + 91 = 107", "final_answer": 107.0}]] | {
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... | 2025-09-24 |
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 [64, 37], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 37 | countdown_2arg | 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 [64, 37], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6068, \"numbers\": [64, 37], \"target\": 101, \"expression\": \"64 + 37\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6068, "numbers": [64, 37], "target": 101, "expression": "64 + 37"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 64 and 37, we need to find a combination of addition, subtraction, multiplication, and division that will result in 101. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 64 and 37.\n2. **Addition**: Adding these two n... | [
false
] | [
""
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false
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"\\( (64 + 37) \\)"
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[
false
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[
"\\( (64 + 37) \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\( (64 + 37) \\)", "start_line": 18, "end_line": 18, "context": "<answer> \\( (64 + 37... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (64 + 37) \\)", "final_answer": null}]] | {
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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 [17, 15], create an equation that equals 255. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*15 | countdown_2arg | 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 [17, 15], create an equation that equals 255. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6086, \"numbers\": [17, 15], \"target\": 255, \"expression\": \"17*15\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6086, "numbers": [17, 15], "target": 255, "expression": "17*15"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 17 and 15, we need to find a combination of addition, subtraction, multiplication, and division that will result in 255. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 17 and 15.\n2. **Consider possible... | [
false
] | [
""
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"\\(17 \\times 15 = 255\\)"
]
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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 [7, 100], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 100 + 7 | countdown_2arg | 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 [7, 100], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6110, \"numbers\": [7, 100], \"target\": 107, \"expression\": \"100 + 7\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6110, "numbers": [7, 100], "target": 107, "expression": "100 + 7"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [7, 100], we need to create an equation that equals 107. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 107.\n2. **Consider Possible Operations**: We can use addition, subtraction, multiplication, and div... | [
false
] | [
""
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false
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"\\( 7 + 100 \\)"
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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 [52, 85], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 52 | countdown_2arg | 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 [52, 85], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6114, \"numbers\": [52, 85], \"target\": 137, \"expression\": \"85 + 52\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6114, "numbers": [52, 85], "target": 137, "expression": "85 + 52"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 52 and 85 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 137. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 137.\n2. **Consider poss... | [
false
] | [
""
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true
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"52 + 85"
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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 [57, 4], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 57*4 | countdown_2arg | 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 [57, 4], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6115, \"numbers\": [57, 4], \"target\": 228, \"expression\": \"57*4\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6115, "numbers": [57, 4], "target": 228, "expression": "57*4"} | null | null | null | null | null | null | [
"To solve for the target number 228 using the given numbers [57, 4], we need to find a combination of addition, subtraction, multiplication, and division that will result in 228. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number**: We begin with 57.\n - \\( 57 \\)\n\n2... | [
false
] | [
""
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null
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[]
] | [
[]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 0, "internal_spans_detailed": [], "span_positions": []} | [[]] | {
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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 [66, 10], create an equation that equals 660. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 66*10 | countdown_2arg | 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 [66, 10], create an equation that equals 660. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6122, \"numbers\": [66, 10], \"target\": 660, \"expression\": \"66*10\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6122, "numbers": [66, 10], "target": 660, "expression": "66*10"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 66 and 10 exactly once and combine them using basic arithmetic operations to get the target number 660. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 66 by 10**: This will give us a large number.\n - \\( 66 \\times 10 = 660 \\)\n\nTh... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"66 \\times 10"
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[
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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 [61, 46], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 61 + 46 | countdown_2arg | 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 [61, 46], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6134, \"numbers\": [61, 46], \"target\": 107, \"expression\": \"61 + 46\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6134, "numbers": [61, 46], "target": 107, "expression": "61 + 46"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 61 and 46, we need to find a combination of addition, subtraction, multiplication, and division that will result in 107. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 107 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
true
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"61 + 46"
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[
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]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "61 + 46", "start_line": 24, "end_line": 24, "context": "\\boxed{61 + 46}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "61 + 46", "final_answer": 107.0}]] | {
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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 [44, 71], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 44 | countdown_2arg | 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 [44, 71], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6142, \"numbers\": [44, 71], \"target\": 115, \"expression\": \"71 + 44\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6142, "numbers": [44, 71], "target": 115, "expression": "71 + 44"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 44 and 71, we need to find a combination of addition, subtraction, multiplication, and division that will result in 115. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 115 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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true
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"71 + 44"
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[
true
]
] | [
[
"71 + 44"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "71 + 44", "start_line": 24, "end_line": 24, "context": "\\boxed{71 + 44}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "71 + 44", "final_answer": 115.0}]] | {
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... | 2025-09-24 |
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 [62, 95], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 62 | countdown_2arg | 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 [62, 95], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6145, \"numbers\": [62, 95], \"target\": 157, \"expression\": \"95 + 62\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6145, "numbers": [62, 95], "target": 157, "expression": "95 + 62"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 62 and 95 that equals 157, we need to find a combination of addition, subtraction, multiplication, and division that will result in 157 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
] | [
""
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true
] | [
"Step 1: 62 + 95 = 157"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "Step 1: 62 + 95 = 157", "start_line": 24, "end_line": 24, "context": "Line 24, final equation", "start_pos": 1231, "end_pos... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 62 + 95 = 157", "final_answer": 157.0}] | [
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]
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... | 2025-09-24 |
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 [43, 83], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43 + 83 | countdown_2arg | 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 [43, 83], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6150, \"numbers\": [43, 83], \"target\": 126, \"expression\": \"43 + 83\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6150, "numbers": [43, 83], "target": 126, "expression": "43 + 83"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 43 and 83, we need to find a combination of addition, subtraction, multiplication, and division that will result in 126. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 126 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
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null
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[]
] | [
[]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 0, "internal_spans_detailed": [], "span_positions": []} | [[]] | {
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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 [21, 96], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 21 + 96 | countdown_2arg | 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 [21, 96], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6167, \"numbers\": [21, 96], \"target\": 117, \"expression\": \"21 + 96\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6167, "numbers": [21, 96], "target": 117, "expression": "21 + 96"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 21 and 96 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 117. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 117.\n2. **Consider poss... | [
false
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""
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false
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"No valid equation exists using the numbers 21 and 96 with the given operations to equal 117."
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"No valid equation exists using the numbers 21 and 96 with the given operations to equal 117."
]
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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 [97, 59], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 59 | countdown_2arg | 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 [97, 59], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6169, \"numbers\": [97, 59], \"target\": 156, \"expression\": \"97 + 59\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6169, "numbers": [97, 59], "target": 156, "expression": "97 + 59"} | null | null | null | null | null | null | [
"To solve for the target number 156 using the given numbers 97 and 59 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 156. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
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"(97 + 59)"
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[
"(97 + 59)"
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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 [9, 82], create an equation that equals 738. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*82 | countdown_2arg | 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 [9, 82], create an equation that equals 738. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6172, \"numbers\": [9, 82], \"target\": 738, \"expression\": \"9*82\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6172, "numbers": [9, 82], "target": 738, "expression": "9*82"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 9 and 82 that equals 738, we need to strategically combine these numbers with basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 9 and 82**: This will give us a large number.\n \\[\n 9 \\times 82 = 738\n \\]\n\nSo, t... | [
false
] | [
""
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false
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"9 \\times 82"
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[
false
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[
"9 \\times 82"
]
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... | 2025-09-24 |
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 [51, 19], create an equation that equals 969. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 51*19 | countdown_2arg | 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 [51, 19], create an equation that equals 969. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6173, \"numbers\": [51, 19], \"target\": 969, \"expression\": \"51*19\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6173, "numbers": [51, 19], "target": 969, "expression": "51*19"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 51 and 19 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 969. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 969.\n2. **Consider... | [
false
] | [
""
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false
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"51 \\times 19"
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[
false
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[
"51 \\times 19"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "51 \\times 19", "start_line": 26, "end_line": 26, "context": "\\boxed{51 \\times 19}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "51 \\times 19", "final_answer": null}]] | {
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... | 2025-09-24 |
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 [69, 80], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 80 | countdown_2arg | 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 [69, 80], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6174, \"numbers\": [69, 80], \"target\": 149, \"expression\": \"69 + 80\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6174, "numbers": [69, 80], "target": 149, "expression": "69 + 80"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 69 and 80 that equals 149, we need to find a combination of addition, subtraction, multiplication, and division that will result in 149 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
] | [
""
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true
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"69 + 80 = 149"
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true
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[
"69 + 80 = 149"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "69 + 80 = 149", "start_line": 26, "end_line": 26, "context": "<answer> \\(69 + 80 = 149... | [[{"is_correct": true, "error": null, "answer_block": "69 + 80 = 149", "final_answer": 149.0}]] | {
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... | 2025-09-24 |
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 [73, 33], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 73 | countdown_2arg | 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 [73, 33], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6177, \"numbers\": [73, 33], \"target\": 106, \"expression\": \"33 + 73\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6177, "numbers": [73, 33], "target": 106, "expression": "33 + 73"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 73 and 33, we need to find a combination of addition, subtraction, multiplication, and division that will result in 106. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 106 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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true
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"73 + 33"
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[
true
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[
"73 + 33"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "73 + 33", "start_line": 24, "end_line": 24, "context": "\\boxed{73 + 33}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "73 + 33", "final_answer": 106.0}]] | {
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... | 2025-09-24 |
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 [11, 12], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 12*11 | countdown_2arg | 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 [11, 12], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6178, \"numbers\": [11, 12], \"target\": 132, \"expression\": \"12*11\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6178, "numbers": [11, 12], "target": 132, "expression": "12*11"} | null | null | null | null | null | null | [
"To solve for the target number 132 using the numbers 11 and 12 with basic arithmetic operations, we need to find a combination of these numbers that will yield 132 when combined through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify ... | [
false
] | [
""
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false
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"12 \\times 11"
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false
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[
"12 \\times 11"
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... | 2025-09-24 |
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 [64, 63], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 64 | countdown_2arg | 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 [64, 63], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6189, \"numbers\": [64, 63], \"target\": 127, \"expression\": \"63 + 64\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6189, "numbers": [64, 63], "target": 127, "expression": "63 + 64"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 64 and 63, we need to find a way to combine them into an expression that equals 127. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 64 and 63.\n2. **Consider Basic Operations**: We can use addition, subtraction... | [
false
] | [
""
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false
] | [
"4032 - 63 = 3969; 3969 \\div 31 = 127"
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"4032 - 63 = 3969; 3969 \\div 31 = 127"
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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 [80, 80], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 80 + 80 | countdown_2arg | 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 [80, 80], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6191, \"numbers\": [80, 80], \"target\": 160, \"expression\": \"80 + 80\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6191, "numbers": [80, 80], "target": 160, "expression": "80 + 80"} | null | null | null | null | null | null | [
"To solve this problem using the numbers [80, 80], we need to create an equation that equals 160. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two 80s.\n2. **Consider Multiplication**: Since multiplication often helps in creating larger numbers quickly, let's st... | [
false
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""
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false
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"\\( 5700 - 100 = 5600 \\)"
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]
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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, 27], create an equation that equals 486. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*27 | countdown_2arg | 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 [18, 27], create an equation that equals 486. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6192, \"numbers\": [18, 27], \"target\": 486, \"expression\": \"18*27\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6192, "numbers": [18, 27], "target": 486, "expression": "18*27"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 18 and 27 that equals 486, we need to find a combination of addition, subtraction, multiplication, and division that will result in 486 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
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""
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false
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"27 \\times 18"
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"27 \\times 18"
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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 [10, 28], create an equation that equals 280. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*28 | countdown_2arg | 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 [10, 28], create an equation that equals 280. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6193, \"numbers\": [10, 28], \"target\": 280, \"expression\": \"10*28\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6193, "numbers": [10, 28], "target": 280, "expression": "10*28"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 10 and 28 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 280. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the goal**: We want to get to 280.\n2. **Consider possible comb... | [
false
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""
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false
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"10 \\times 28"
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"10 \\times 28"
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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 [97, 5], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5 + 97 | countdown_2arg | 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 [97, 5], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6201, \"numbers\": [97, 5], \"target\": 102, \"expression\": \"5 + 97\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6201, "numbers": [97, 5], "target": 102, "expression": "5 + 97"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 97 and 5, we need to find a combination of addition, subtraction, multiplication, and division that will result in 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 97 and 5.\n2. **Consider possible combinations**... | [
false
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""
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"\\(97 + 5 = 102\\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\(97 + 5 = 102\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(97 + 5 = 102\\) </answer>", "start_pos": 920... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(97 + 5 = 102\\)", "final_answer": null}] | [
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"\\(97 + 5 = 102\\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(97 + 5 = 102\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(97 + 5 =... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(97 + 5 = 102\\)", "final_answer": null}]] | {
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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 [35, 3], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*35 | countdown_2arg | 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 [35, 3], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6210, \"numbers\": [35, 3], \"target\": 105, \"expression\": \"3*35\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6210, "numbers": [35, 3], "target": 105, "expression": "3*35"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers from the list [35, 3] exactly once and combine them using basic arithmetic operations to get the target number 105. Here’s how we can do it:\n\n1. **Multiply 35 by 3**: This gives us \\( 35 \\times 3 = 105 \\).\n\nSo, the equation that uses all the numbers in the l... | [
false
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""
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false
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"\\( 35 \\times 3 = 105 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 35 \\times 3 = 105 \\)", "start_line": 8, "end_line": 8, "context": "<answer> \\( 35 \\times 3 = 105 \\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 35 \\times 3 = 105 \\)", "final_answer": null}] | [
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"\\( 35 \\times 3 = 105 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\( 35 \\times 3 = 105 \\)", "start_line": 8, "end_line": 8, "context": "<answer> \\( 3... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 35 \\times 3 = 105 \\)", "final_answer": null}]] | {
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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 [84, 21], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 21 + 84 | countdown_2arg | 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 [84, 21], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6219, \"numbers\": [84, 21], \"target\": 105, \"expression\": \"21 + 84\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6219, "numbers": [84, 21], "target": 105, "expression": "21 + 84"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 84 and 21, we need to find a combination of addition, subtraction, multiplication, and division that will result in 105. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 84 and 21 to 105.\n \n2. **Consider possible... | [
false
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""
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false
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"\\(84 + 14 - 21 + 28 = 105\\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\(84 + 14 - 21 + 28 = 105\\)", "start_line": 43, "end_line": 43, "context": "The answer is:", "start_pos": 1791, "end_pos"... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(84 + 14 - 21 + 28 = 105\\)", "final_answer": null}] | [
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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 [8, 40], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 40*8 | countdown_2arg | 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 [8, 40], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6224, \"numbers\": [8, 40], \"target\": 320, \"expression\": \"40*8\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6224, "numbers": [8, 40], "target": 320, "expression": "40*8"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers [8, 40] that equals 320, we need to find a combination of addition, subtraction, multiplication, and division that will result in 320 when applied to these numbers exactly once.\n\nHere’s how we can approach it:\n\n1. **Identify the goal**: We want to get 320 from the gi... | [
false
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""
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false
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"40 \\times 8 = 320"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "40 \\times 8 = 320", "start_line": 24, "end_line": 24, "context": "So, our final answer is:", "start_pos": 1016, "end_pos":... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "40 \\times 8 = 320", "final_answer": null}] | [
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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 [30, 7], create an equation that equals 210. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*30 | countdown_2arg | 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 [30, 7], create an equation that equals 210. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6229, \"numbers\": [30, 7], \"target\": 210, \"expression\": \"7*30\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6229, "numbers": [30, 7], "target": 210, "expression": "7*30"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 30 and 7, we need to find a combination of addition, subtraction, multiplication, and division that will result in 210. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 210 from the numbers 30 and 7.\n \n2. **Consider p... | [
false
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""
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false
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"\\( 30 \\times 7 = 210 \\)"
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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, 11], create an equation that equals 297. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*27 | countdown_2arg | 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, 11], create an equation that equals 297. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6253, \"numbers\": [27, 11], \"target\": 297, \"expression\": \"11*27\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6253, "numbers": [27, 11], "target": 297, "expression": "11*27"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 27 and 11, we need to find a combination of addition, subtraction, multiplication, and division that will result in 297. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 297 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
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"27 \\times 11"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "27 \\times 11", "start_line": 31, "end_line": 31, "context": "\\boxed{27 \\times 11}", "start_pos": 1054, "end_pos": 1075},... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "27 \\times 11", "final_answer": null}] | [
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false
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[
"27 \\times 11"
]
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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 [58, 10], create an equation that equals 580. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*58 | countdown_2arg | 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 [58, 10], create an equation that equals 580. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6255, \"numbers\": [58, 10], \"target\": 580, \"expression\": \"10*58\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6255, "numbers": [58, 10], "target": 580, "expression": "10*58"} | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 58 and 10 exactly once and combine them using basic arithmetic operations to get the target number 580. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 58 by 10**: This will give us a large number.\n - \\( 58 \\times 10 = 580 \\)\n\nTh... | [
false
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""
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false
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"58 \\times 10"
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false
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[
"58 \\times 10",
"58 \\times 10"
]
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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 [77, 8], create an equation that equals 616. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 8*77 | countdown_2arg | 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 [77, 8], create an equation that equals 616. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6256, \"numbers\": [77, 8], \"target\": 616, \"expression\": \"8*77\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6256, "numbers": [77, 8], "target": 616, "expression": "8*77"} | null | null | null | null | null | null | [
"To solve for the target number 616 using the given numbers 77 and 8, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 616. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to get from 0 to 6... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"77 \\times 8"
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[
false
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] | [
[
"77 \\times 8"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "77 \\times 8", "start_line": 21, "end_line": 21, "context": "\\boxed{77 \\times 8}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "77 \\times 8", "final_answer": null}]] | {
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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 [83, 30], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 30 + 83 | countdown_2arg | 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 [83, 30], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6259, \"numbers\": [83, 30], \"target\": 113, \"expression\": \"30 + 83\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6259, "numbers": [83, 30], "target": 113, "expression": "30 + 83"} | null | null | null | null | null | null | [
"To solve for the equation using the numbers 83 and 30 that equals 113, we need to find a combination of addition, subtraction, multiplication, and division that will result in 113 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"\\( (83 - 30) * 2 + 30 = 113 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( (83 - 30) * 2 + 30 = 113 \\)", "start_line": 60, "end_line": 60, "context": "<answer> \\( (83 - 30) * 2 + 30 = 113 \\) ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (83 - 30) * 2 + 30 = 113 \\)", "final_answer": null}] | [
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false
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] | [
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"\\( (83 - 30) * 2 + 30 = 113 \\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\( (83 - 30) * 2 + 30 = 113 \\)", "start_line": 60, "end_line": 60, "context": "<answe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (83 - 30) * 2 + 30 = 113 \\)", "final_answer": null}]] | {
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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 [91, 19], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 19 | countdown_2arg | 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 [91, 19], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6266, \"numbers\": [91, 19], \"target\": 110, \"expression\": \"91 + 19\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6266, "numbers": [91, 19], "target": 110, "expression": "91 + 19"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 91 and 19, we need to find a combination of addition, subtraction, multiplication, and division that will result in 110. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 110 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
false
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"(19 \\times 91) + 19"
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false
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[
"(19 \\times 91) + 19"
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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 [52, 98], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 52 | countdown_2arg | 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 [52, 98], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6277, \"numbers\": [52, 98], \"target\": 150, \"expression\": \"98 + 52\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6277, "numbers": [52, 98], "target": 150, "expression": "98 + 52"} | null | null | null | null | null | null | [
"To solve for the target number 150 using the given numbers [52, 98], we need to find a combination of addition, subtraction, multiplication, and division that will result in 150. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 150 from the numbers 52 and 98.\n... | [
false
] | [
""
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true
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"(52 + 98)"
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[
true
]
] | [
[
"(52 + 98)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(52 + 98)", "start_line": 28, "end_line": 28, "context": "Final Answer", "start_pos": 1... | [[{"is_correct": true, "error": null, "answer_block": "(52 + 98)", "final_answer": 150.0}]] | {
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... | 2025-09-24 |
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, 30], create an equation that equals 540. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 30*18 | countdown_2arg | 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 [18, 30], create an equation that equals 540. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6284, \"numbers\": [18, 30], \"target\": 540, \"expression\": \"30*18\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6284, "numbers": [18, 30], "target": 540, "expression": "30*18"} | null | null | null | null | null | null | [
"To solve for 540 using the numbers 18 and 30 with basic arithmetic operations, we need to find a combination of these two numbers that will yield 540 when combined through addition, subtraction, multiplication, or division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We ... | [
false
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""
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"\\(18 \\times 30\\)"
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... | 2025-09-24 |
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 [93, 25], create an equation that equals 118. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 93 | countdown_2arg | 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 [93, 25], create an equation that equals 118. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6298, \"numbers\": [93, 25], \"target\": 118, \"expression\": \"25 + 93\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6298, "numbers": [93, 25], "target": 118, "expression": "25 + 93"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 93 and 25, we need to find a combination of addition, subtraction, multiplication, and division that will result in 118. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 118 from the numbers 93 and 25.\n \n2. **Consider... | [
false
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""
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"93 - 25 + 50"
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... | 2025-09-24 |
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 [90, 3], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*90 | countdown_2arg | 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 [90, 3], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6305, \"numbers\": [90, 3], \"target\": 270, \"expression\": \"3*90\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6305, "numbers": [90, 3], "target": 270, "expression": "3*90"} | null | null | null | null | null | null | [
"To solve this problem using the numbers 90 and 3, we need to find a combination of addition, subtraction, multiplication, and division that will result in 270. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 90 to 270.\n2. **Consider possible multiplicati... | [
false
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""
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false
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"90 \\times 3"
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false
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[
"90 \\times 3"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "90 \\times 3", "start_line": 20, "end_line": 20, "context": "\\boxed{90 \\times 3}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "90 \\times 3", "final_answer": null}]] | {
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... | 2025-09-24 |
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 [15, 59], create an equation that equals 885. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 15*59 | countdown_2arg | 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 [15, 59], create an equation that equals 885. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6310, \"numbers\": [15, 59], \"target\": 885, \"expression\": \"15*59\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6310, "numbers": [15, 59], "target": 885, "expression": "15*59"} | null | null | null | null | null | null | [
"To solve for the target number 885 using the given numbers [15, 59], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 885. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target is 885... | [
false
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""
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false
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"59 \\times 15"
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false
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[
"59 \\times 15"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "59 \\times 15", "start_line": 25, "end_line": 25, "context": "\\boxed{59 \\times 15}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "59 \\times 15", "final_answer": null}]] | {
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... | 2025-09-24 |
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 [93, 29], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 29 + 93 | countdown_2arg | 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 [93, 29], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6316, \"numbers\": [93, 29], \"target\": 122, \"expression\": \"29 + 93\"}", "task_source": "countdown"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6316, "numbers": [93, 29], "target": 122, "expression": "29 + 93"} | null | null | null | null | null | null | [
"To solve for the target number 122 using the given numbers 93 and 29 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 122. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:51701/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "Answer the following problem. Explain ... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1} | [
true
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"93 + 29"
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] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "93 + 29", "start_line": 19, "end_line": 19, "context": "\\boxed{93 + 29}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "93 + 29", "final_answer": 122.0}]] | {
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... | 2025-09-24 |
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