question string | answer string | task_config string | task_source string | prompt list | model_responses list | model_responses__eval_is_correct list | all_other_columns string | original_split string | acronym string | answer_index int64 | answer_key string | choices dict | difficulty string | domain string | evaluation_type string | expected_answer_format string | formed_acronym string | id string | length int64 | letters string | metadata string | original_answer string | possible_answers list | prompt__few_shot list | source string | task_type string | variant string | word_count int64 | words list | model_responses__greedy list | model_responses__greedy__finish_reason_length_flags list | model_responses__greedy__length_partial_responses list | prompt__greedy__metadata string | model_responses__greedy__metadata string | model_responses__greedy__eval_is_correct list | model_responses__greedy__eval_extracted_answers list | model_responses__greedy__eval_extraction_metadata string | model_responses__greedy__eval_evaluation_metadata string | model_responses__greedy__internal_answers__eval_is_correct list | model_responses__greedy__internal_answers__eval_extracted_answers list | model_responses__greedy__internal_answers__eval_extraction_metadata string | model_responses__greedy__internal_answers__eval_evaluation_metadata string | model_responses__greedy__metrics dict | eval_date string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 [60, 70], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 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 [60, 70], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5032, \"numbers\": [60, 70], \"target\": 130, \"expression\": \"60 + 70\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5032, "numbers": [60, 70], "target": 130, "expression": "60 + 70"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 60 and 70 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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""
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false
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"\\(60 + 70 = 130\\)"
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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, 44], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*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 [3, 44], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5182, \"numbers\": [3, 44], \"target\": 132, \"expression\": \"3*44\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5182, "numbers": [3, 44], "target": 132, "expression": "3*44"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [3, 44] that equals 132, we need to find a combination of these numbers through 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 the number ... | [
false
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""
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false
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"\\( 44 \\times 3 = 132 \\)"
] | {"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": "\\( 44 \\times 3 = 132 \\)", "start_line": 21, "end_line": 21, "context": "<answer> \\( 44 \\times 3 = 132 \\) </answer>", ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 44 \\times 3 = 132 \\)", "final_answer": null}] | [
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"\\( 44 \\times 3 = 132 \\)"
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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 [23, 6], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 23*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 [23, 6], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5051, \"numbers\": [23, 6], \"target\": 138, \"expression\": \"23*6\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5051, "numbers": [23, 6], "target": 138, "expression": "23*6"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 23 and 6 from the given list to form an equation that equals 138 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 138.\n2. **Consider possible combinations**: Sin... | [
false
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""
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"\\( 23 \\times 6 = 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": "\\( 23 \\times 6 = 138 \\)", "start_line": 26, "end_line": 26, "context": "<answer> \\( 23 \\times 6 = 138 \\) </answer>", ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 23 \\times 6 = 138 \\)", "final_answer": null}] | [
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"\\( 23 \\times 6 = 138 \\)"
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... | 2025-09-15 |
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, 64], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 38 | 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, 64], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5659, \"numbers\": [38, 64], \"target\": 102, \"expression\": \"64 + 38\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5659, "numbers": [38, 64], "target": 102, "expression": "64 + 38"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 38 and 64 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 102.\n \n2. **Consider... | [
false
] | [
""
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true
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"38 + 64"
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"38 + 64"
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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 + 64", "start_line": 39, "end_line": 39, "context": "\\boxed{38 + 64}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "38 + 64", "final_answer": 102.0}]] | {
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... | 2025-09-15 |
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, 52], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 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, 52], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6215, \"numbers\": [90, 52], \"target\": 142, \"expression\": \"52 + 90\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6215, "numbers": [90, 52], "target": 142, "expression": "52 + 90"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 142 using the given numbers 90 and 52 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 142. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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} | [
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"\\(90 + 52\\)"
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false
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"\\(90 + 52\\)"
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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 + 52\\)", "start_line": 14, "end_line": 14, "context": "<answer> \\(90 + 52\\) </... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(90 + 52\\)", "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 [71, 5], create an equation that equals 355. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*71 | 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 [71, 5], create an equation that equals 355. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6113, \"numbers\": [71, 5], \"target\": 355, \"expression\": \"5*71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6113, "numbers": [71, 5], "target": 355, "expression": "5*71"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 71 and 5 exactly once to get the result 355 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 71 and 5**:\n - First, multiply 71 by 5.\n \\[\n 71 \\times 5 = 355\n \\]\n\nThis multiplication... | [
false
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""
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"71 \\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 [28, 80], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 28 + 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 [28, 80], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5296, \"numbers\": [28, 80], \"target\": 108, \"expression\": \"28 + 80\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5296, "numbers": [28, 80], "target": 108, "expression": "28 + 80"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 28 and 80 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 108. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 108.\n2. **Consider poss... | [
false
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""
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... | 2025-09-15 |
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, 59], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 59 + 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, 59], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5457, \"numbers\": [79, 59], \"target\": 138, \"expression\": \"59 + 79\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5457, "numbers": [79, 59], "target": 138, "expression": "59 + 79"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 138 using the given numbers 79 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 138. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
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""
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true
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"(79 + 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 [3, 63], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*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 [3, 63], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6181, \"numbers\": [3, 63], \"target\": 189, \"expression\": \"3*63\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6181, "numbers": [3, 63], "target": 189, "expression": "3*63"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [3, 63], we need to find a combination of basic arithmetic operations that will result in 189 when applied sequentially with these numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 189.\n2. **Consid... | [
false
] | [
""
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false
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"63 \\times 3"
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[
"63 \\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 [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46*17 | 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, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5778, \"numbers\": [46, 17], \"target\": 782, \"expression\": \"46*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5778, "numbers": [46, 17], "target": 782, "expression": "46*17"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 46 and 17 that equals 782, we need to find a combination of addition, subtraction, multiplication, and division that will result in 782 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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"\\(46 \\times 17 = 782\\)"
] | {"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": "\\(46 \\times 17 = 782\\)", "start_line": 32, "end_line": 32, "context": "line 32, final answer in <answer> tags", "start_p... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(46 \\times 17 = 782\\)", "final_answer": null}] | [
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false
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"\\(46 \\times 17 = 782\\)"
]
] | {"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": "\\(46 \\times 17 = 782\\)", "start_line": 32, "end_line": 32, "context": "line 32, fina... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(46 \\times 17 = 782\\)", "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 [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 22 + 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 [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5005, \"numbers\": [22, 78], \"target\": 100, \"expression\": \"22 + 78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5005, "numbers": [22, 78], "target": 100, "expression": "22 + 78"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 22 and 78, we need to find a combination of addition, subtraction, multiplication, and division that will result in 100. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers, 22 and 78.\n2. **Consider possible... | [
false
] | [
""
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false
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"\\(22 + 78 = 100\\)"
] | {"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": "\\(22 + 78 = 100\\)", "start_line": 30, "end_line": 30, "context": "<answer> \\(22 + 78 = 100\\) </answer>", "start_pos": 1... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(22 + 78 = 100\\)", "final_answer": null}] | [
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false
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] | [
[
"\\(22 + 78 = 100\\)"
]
] | {"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": "\\(22 + 78 = 100\\)", "start_line": 30, "end_line": 30, "context": "<answer> \\(22 + 78... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(22 + 78 = 100\\)", "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 [34, 11], create an equation that equals 374. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34*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 [34, 11], create an equation that equals 374. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6611, \"numbers\": [34, 11], \"target\": 374, \"expression\": \"34*11\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6611, "numbers": [34, 11], "target": 374, "expression": "34*11"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 34 and 11 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 374. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 34 and 11.\n \n2. **Multiply... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"34 \\times 11"
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"34 \\times 11"
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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": "34 \\times 11", "start_line": 18, "end_line": 18, "context": "\\boxed{34 \\times 11}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "34 \\times 11", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 57], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 57 + 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, 57], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5125, \"numbers\": [93, 57], \"target\": 150, \"expression\": \"57 + 93\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5125, "numbers": [93, 57], "target": 150, "expression": "57 + 93"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 150 using the given numbers 93 and 57 with each number being used exactly once, 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 wan... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"\\( 93 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)"
] | {"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": "\\( 93 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)", "start_line": 61, "end_line": 64, "context": "... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 93 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)", "final_answer": null}] | [
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false
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] | [
[
"\\( 93 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)"
]
] | {"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 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)", "start_lin... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 93 - 57 = 36 \\)\n\\( 36 + 150/10 = 51 \\)\n\\( 51 + 93 - 57 = 150 \\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 83], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 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 [95, 83], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6809, \"numbers\": [95, 83], \"target\": 178, \"expression\": \"95 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6809, "numbers": [95, 83], "target": 178, "expression": "95 + 83"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 178 using the given numbers 95 and 83 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 178. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
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true
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"95 + 83"
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[
true
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[
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... | 2025-09-15 |
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, 46], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46 + 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, 46], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5254, \"numbers\": [83, 46], \"target\": 129, \"expression\": \"46 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5254, "numbers": [83, 46], "target": 129, "expression": "46 + 83"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 83 and 46, we need to find a combination of addition, subtraction, multiplication, and division that will result in 129. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 129 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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true
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"83 + 46"
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"83 + 46"
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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, 98], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 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, 98], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5104, \"numbers\": [30, 98], \"target\": 128, \"expression\": \"98 + 30\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5104, "numbers": [30, 98], "target": 128, "expression": "98 + 30"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 30 and 98 that equals 128, we need to find a combination of addition, subtraction, multiplication, and division that will result in 128 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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"\\( (30 \\times 98) / 7 = 128 \\)"
] | {"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": "\\( (30 \\times 98) / 7 = 128 \\)", "start_line": 36, "end_line": 36, "context": "Final Answer", "start_pos": 1675, "end_po... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (30 \\times 98) / 7 = 128 \\)", "final_answer": null}] | [
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"\\( (30 \\times 98) / 7 = 128 \\)"
]
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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 [82, 94], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 94 | 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 [82, 94], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6417, \"numbers\": [82, 94], \"target\": 176, \"expression\": \"82 + 94\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6417, "numbers": [82, 94], "target": 176, "expression": "82 + 94"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 82 and 94, we need to find a combination of addition, subtraction, multiplication, and division that will result in 176. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 0 to 176.\n2. **Start with the larger number (... | [
false
] | [
""
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false
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"(94 - 82) + 82 * 2 - 12"
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[
false
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] | [
[
"(94 - 82) + 82 * 2 - 12"
]
] | {"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": "(94 - 82) + 82 * 2 - 12", "start_line": 36, "end_line": 36, "context": "<answer> (94 - ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(94 - 82) + 82 * 2 - 12", "final_answer": 176.0}]] | {
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... | 2025-09-15 |
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, 43], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 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 [79, 43], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5603, \"numbers\": [79, 43], \"target\": 122, \"expression\": \"79 + 43\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5603, "numbers": [79, 43], "target": 122, "expression": "79 + 43"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 122 using the given numbers 79 and 43 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://127.0.0.1:37253/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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"\\(79 + 43\\)"
] | {"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": "\\(79 + 43\\)", "start_line": 14, "end_line": 14, "context": "line 14, inside <answer> tags", "start_pos": 539, "end_pos": ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 43\\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\(79 + 43\\)"
]
] | {"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 + 43\\)", "start_line": 14, "end_line": 14, "context": "line 14, inside <answer> ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 43\\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 61], create an equation that equals 854. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*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 [14, 61], create an equation that equals 854. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5868, \"numbers\": [14, 61], \"target\": 854, \"expression\": \"14*61\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5868, "numbers": [14, 61], "target": 854, "expression": "14*61"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 854 using the given numbers 14 and 61 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 854. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We wan... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"61 \\times 14"
] | {"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": "61 \\times 14", "start_line": 23, "end_line": 23, "context": "\\boxed{61 \\times 14}", "start_pos": 942, "end_pos": 963}, "... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "61 \\times 14", "final_answer": null}] | [
[
false
]
] | [
[
"61 \\times 14"
]
] | {"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 \\times 14", "start_line": 23, "end_line": 23, "context": "\\boxed{61 \\times 14}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "61 \\times 14", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [89, 50], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 50 + 89 | 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 [89, 50], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6381, \"numbers\": [89, 50], \"target\": 139, \"expression\": \"50 + 89\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6381, "numbers": [89, 50], "target": 139, "expression": "50 + 89"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 139 using the given numbers 89 and 50 with basic arithmetic operations, we need to find a combination of these numbers that will result in 139 when combined through addition, subtraction, multiplication, and division. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"\\( 89 + 50 \\)"
] | {"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": "\\( 89 + 50 \\)", "start_line": 18, "end_line": 18, "context": "<answer> \\( 89 + 50 \\) </answer>", "start_pos": 726, "end... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 89 + 50 \\)", "final_answer": null}] | [
[
false
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] | [
[
"\\( 89 + 50 \\)"
]
] | {"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": "\\( 89 + 50 \\)", "start_line": 18, "end_line": 18, "context": "<answer> \\( 89 + 50 \\... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 89 + 50 \\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [56, 78], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 56 + 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 [56, 78], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5118, \"numbers\": [56, 78], \"target\": 134, \"expression\": \"56 + 78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5118, "numbers": [56, 78], "target": 134, "expression": "56 + 78"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 134 using the given numbers 56 and 78 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 134. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We wan... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"\\(56 + 78 = 134\\)"
] | {"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": "\\(56 + 78 = 134\\)", "start_line": 28, "end_line": 28, "context": "Line 28 inside <answer> tags", "start_pos": 1163, "end_... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(56 + 78 = 134\\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\(56 + 78 = 134\\)"
]
] | {"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": "\\(56 + 78 = 134\\)", "start_line": 28, "end_line": 28, "context": "Line 28 inside <ans... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(56 + 78 = 134\\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [56, 60], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 56 | 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 [56, 60], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6651, \"numbers\": [56, 60], \"target\": 116, \"expression\": \"60 + 56\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6651, "numbers": [56, 60], "target": 116, "expression": "60 + 56"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 56 and 60, we need to find a combination of addition, subtraction, multiplication, and division that will result in 116. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 116 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"(60 - 56) \\div 4 \\times 116"
] | {"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": "(60 - 56) \\div 4 \\times 116", "start_line": 54, "end_line": 54, "context": "\\boxed{(60 - 56) \\div 4 \\times 116}", "sta... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(60 - 56) \\div 4 \\times 116", "final_answer": null}] | [
[
false
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] | [
[
"(60 - 56) \\div 4 \\times 116"
]
] | {"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": "(60 - 56) \\div 4 \\times 116", "start_line": 54, "end_line": 54, "context": "\\boxed{(... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(60 - 56) \\div 4 \\times 116", "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, 89], create an equation that equals 712. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 89*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, 89], create an equation that equals 712. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6590, \"numbers\": [8, 89], \"target\": 712, \"expression\": \"89*8\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6590, "numbers": [8, 89], "target": 712, "expression": "89*8"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [8, 89] that equals 712, 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. **Identify the goal**: We want to get the result as close as possible to 712 while using all the given nu... | [
false
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""
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false
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"\\(8 \\times 89 = 712\\)"
] | {"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": "\\(8 \\times 89 = 712\\)", "start_line": 27, "end_line": 27, "context": "Line 27 inside <answer> tags", "start_pos": 1032, ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(8 \\times 89 = 712\\)", "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 [78, 57], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 57 | 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, 57], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6570, \"numbers\": [78, 57], \"target\": 135, \"expression\": \"78 + 57\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6570, "numbers": [78, 57], "target": 135, "expression": "78 + 57"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 135 using the given numbers 78 and 57 with the operations allowed (addition, subtraction, multiplication, division), we need to find a combination that will yield 135 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the go... | [
false
] | [
""
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true
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"78 + 57"
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[
true
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] | [
[
"78 + 57"
]
] | {"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": "78 + 57", "start_line": 47, "end_line": 47, "context": "\\boxed{78 + 57}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "78 + 57", "final_answer": 135.0}]] | {
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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 [38, 75], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 75 + 38 | 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, 75], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5969, \"numbers\": [38, 75], \"target\": 113, \"expression\": \"75 + 38\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5969, "numbers": [38, 75], "target": 113, "expression": "75 + 38"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 38 and 75 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 113. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 113.\n2. **Consider poss... | [
false
] | [
""
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false
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"\\(38 + 75 = 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": "\\(38 + 75 = 113\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(38 + 75 = 113\\) </answer>", "start_pos": 8... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(38 + 75 = 113\\)", "final_answer": null}] | [
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false
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[
"\\(38 + 75 = 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": "\\(38 + 75 = 113\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(38 + 75... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(38 + 75 = 113\\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [99, 2], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 2 + 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 [99, 2], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6364, \"numbers\": [99, 2], \"target\": 101, \"expression\": \"2 + 99\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6364, "numbers": [99, 2], "target": 101, "expression": "2 + 99"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [99, 2], we need to create an equation that equals 101. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 101.\n2. **Consider possible operations**:\n - Addition (+)\n - Subtraction (-)\n - Multiplicati... | [
false
] | [
""
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false
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"((99 - 2) * 2) + 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, "final_span_info": {"answer": "((99 - 2) * 2) + 7", "start_line": 78, "end_line": 79, "context": "Therefore, the final answer is:", "start_pos": 1901, "en... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((99 - 2) * 2) + 7", "final_answer": 101.0}] | [
[
false
]
] | [
[
"((99 - 2) * 2) + 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": "((99 - 2) * 2) + 7", "start_line": 78, "end_line": 79, "context": "Therefore, the final... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((99 - 2) * 2) + 7", "final_answer": 101.0}]] | {
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... | 2025-09-15 |
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, 36], create an equation that equals 720. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20*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 [20, 36], create an equation that equals 720. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5260, \"numbers\": [20, 36], \"target\": 720, \"expression\": \"20*36\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5260, "numbers": [20, 36], "target": 720, "expression": "20*36"} | null | null | null | null | null | null | null | null | [
"To solve for 720 using the numbers 20 and 36 with basic arithmetic operations, we need to find a combination of these numbers that will yield 720 when combined through addition, subtraction, multiplication, and division. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We wa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"36 \\times 20"
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false
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] | [
[
"36 \\times 20"
]
] | {"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": "36 \\times 20", "start_line": 23, "end_line": 23, "context": "\\boxed{36 \\times 20}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "36 \\times 20", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [89, 18], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18 + 89 | 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 [89, 18], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6683, \"numbers\": [89, 18], \"target\": 107, \"expression\": \"18 + 89\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6683, "numbers": [89, 18], "target": 107, "expression": "18 + 89"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 89 and 18 from the given list to create an equation that equals 107 using basic arithmetic operations (addition, subtraction, multiplication, division). 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 ... | [
false
] | [
""
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true
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"89 + 18 = 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": "89 + 18 = 107", "start_line": 24, "end_line": 24, "context": "<answer> \\(89 + 18 = 107\\) </answer>", "start_pos": 1064, "... | [{"is_correct": true, "error": null, "answer_block": "89 + 18 = 107", "final_answer": 107.0}] | [
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[
"89 + 18 = 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, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "89 + 18 = 107", "start_line": 24, "end_line": 24, "context": "<answer> \\(89 + 18 = 107... | [[{"is_correct": true, "error": null, "answer_block": "89 + 18 = 107", "final_answer": 107.0}]] | {
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... | 2025-09-15 |
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, 96], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 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 [96, 96], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6012, \"numbers\": [96, 96], \"target\": 192, \"expression\": \"96 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6012, "numbers": [96, 96], "target": 192, "expression": "96 + 96"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [96, 96], we need to create an equation that equals 192. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two 96s.\n2. **Addition Strategy**: Adding these two 96s together will give us a sum close to our target (192).\n - \... | [
false
] | [
""
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false
] | [
"\\( 96 + 96 = 192 \\)"
] | {"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": "\\( 96 + 96 = 192 \\)", "start_line": 14, "end_line": 14, "context": "<answer> \\( 96 + 96 = 192 \\) </answer>", "start_pos... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 96 + 96 = 192 \\)", "final_answer": null}] | [
[
false
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] | [
[
"\\( 96 + 96 = 192 \\)"
]
] | {"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": "\\( 96 + 96 = 192 \\)", "start_line": 14, "end_line": 14, "context": "<answer> \\( 96 +... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 96 + 96 = 192 \\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 85], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 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 [97, 85], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5207, \"numbers\": [97, 85], \"target\": 182, \"expression\": \"97 + 85\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5207, "numbers": [97, 85], "target": 182, "expression": "97 + 85"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 97 and 85, we need to find a combination of addition, subtraction, multiplication, and division that will result in 182. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 182 from the given numbers.\n2. **Consider possible... | [
false
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""
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"\\( (182 - 85) + 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, 79], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 49 | 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, 79], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6605, \"numbers\": [49, 79], \"target\": 128, \"expression\": \"79 + 49\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6605, "numbers": [49, 79], "target": 128, "expression": "79 + 49"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 49 and 79 that equals 128, we need to find a combination of addition, subtraction, multiplication, and division that will result in 128 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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"\\(49 + 79 = 128\\)"
] | {"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": "\\(49 + 79 = 128\\)", "start_line": 30, "end_line": 30, "context": "Line 30, inside <answer> tags", "start_pos": 1180, "end... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(49 + 79 = 128\\)", "final_answer": null}] | [
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"\\(49 + 79 = 128\\)"
]
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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, 46], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 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 [96, 46], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5505, \"numbers\": [96, 46], \"target\": 142, \"expression\": \"96 + 46\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5505, "numbers": [96, 46], "target": 142, "expression": "96 + 46"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 142 using the given numbers 96 and 46 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 142. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
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"(96 + 46)"
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"(96 + 46)"
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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": "(96 + 46)", "start_line": 14, "end_line": 14, "context": "\\boxed{(96 + 46)}", "start_p... | [[{"is_correct": true, "error": null, "answer_block": "(96 + 46)", "final_answer": 142.0}]] | {
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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 [91, 56], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 56 | 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, 56], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5328, \"numbers\": [91, 56], \"target\": 147, \"expression\": \"91 + 56\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5328, "numbers": [91, 56], "target": 147, "expression": "91 + 56"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 91 and 56, we need to find a combination of addition, subtraction, multiplication, and division that will result in 147. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 147 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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"(91 * 56) / 33 - 12"
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"(91 * 56) / 33 - 12"
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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": "(91 * 56) / 33 - 12", "start_line": 66, "end_line": 66, "context": "final answer is:", ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(91 * 56) / 33 - 12", "final_answer": 147.0}]] | {
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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 [96, 90], create an equation that equals 186. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 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 [96, 90], create an equation that equals 186. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6171, \"numbers\": [96, 90], \"target\": 186, \"expression\": \"90 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6171, "numbers": [96, 90], "target": 186, "expression": "90 + 96"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 96 and 90, we need to find a combination of addition, subtraction, multiplication, and division that will result in 186. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 96 and 90 to 186.\n \n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"\\(96 + 90 = 186\\)"
] | {"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": "\\(96 + 90 = 186\\)", "start_line": 23, "end_line": 23, "context": "<answer> \\(96 + 90 = 186\\) </answer>", "start_pos": 1... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(96 + 90 = 186\\)", "final_answer": null}] | [
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[
"\\(96 + 90 = 186\\)"
]
] | {"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": "\\(96 + 90 = 186\\)", "start_line": 23, "end_line": 23, "context": "<answer> \\(96 + 90... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(96 + 90 = 186\\)", "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 [72, 71], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 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, 71], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6001, \"numbers\": [72, 71], \"target\": 143, \"expression\": \"71 + 72\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6001, "numbers": [72, 71], "target": 143, "expression": "71 + 72"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 72 and 71, we need to find a combination of addition, subtraction, multiplication, and division that will result in 143. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 72 and 71.\n2. **Consider Multiplication F... | [
false
] | [
""
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true
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"72 + 71"
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"72 + 71"
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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": "72 + 71", "start_line": 71, "end_line": 71, "context": "Line 71: \\boxed{72 + 71}", "st... | [[{"is_correct": true, "error": null, "answer_block": "72 + 71", "final_answer": 143.0}]] | {
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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 [34, 28], create an equation that equals 952. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34*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 [34, 28], create an equation that equals 952. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6223, \"numbers\": [34, 28], \"target\": 952, \"expression\": \"34*28\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6223, "numbers": [34, 28], "target": 952, "expression": "34*28"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 34 and 28 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 952. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 34 and 28**:\n - First, calculate \\( 34 \\times 28 \\).\n\... | [
false
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""
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"\\( 34 \\times 28 = 952 \\)"
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]
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... | 2025-09-15 |
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, 71], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 71 | 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, 71], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5843, \"numbers\": [97, 71], \"target\": 168, \"expression\": \"97 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5843, "numbers": [97, 71], "target": 168, "expression": "97 + 71"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 168 using the given numbers [97, 71], we need to find a combination of addition, subtraction, multiplication, and division that will result in 168. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: We begin with 97 because it's larger... | [
false
] | [
""
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"97 + 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 [6, 40], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 40*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, 40], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6438, \"numbers\": [6, 40], \"target\": 240, \"expression\": \"40*6\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6438, "numbers": [6, 40], "target": 240, "expression": "40*6"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 6 and 40 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 240. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 6 and 40**:\n - \\( 6 \\times 40 = 240 \\)\n\nThis directly give... | [
false
] | [
""
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false
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"\\( 6 \\times 40 = 240 \\)"
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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, 51], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 51 | 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, 51], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6783, \"numbers\": [96, 51], \"target\": 147, \"expression\": \"96 + 51\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6783, "numbers": [96, 51], "target": 147, "expression": "96 + 51"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 96 and 51 that equals 147, we need to find a combination of addition, subtraction, multiplication, and division that will result in 147 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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"\\( 96 \\times 51 - 96 = 4896 - 96 = 4800 \\)"
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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, 66], create an equation that equals 726. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*66 | 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, 66], create an equation that equals 726. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6375, \"numbers\": [11, 66], \"target\": 726, \"expression\": \"11*66\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6375, "numbers": [11, 66], "target": 726, "expression": "11*66"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 11 and 66 from the given list to form an equation that equals 726 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 11 and 66**:\n \\[\n 11 \\times 66 = 726\n \\]\n\nThis multiplication directly gives us... | [
false
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""
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false
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"11 \\times 66"
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"11 \\times 66"
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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, 16], create an equation that equals 224. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*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, 16], create an equation that equals 224. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5974, \"numbers\": [14, 16], \"target\": 224, \"expression\": \"16*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5974, "numbers": [14, 16], "target": 224, "expression": "16*14"} | null | null | null | null | null | null | null | null | [
"To solve for 224 using the numbers 14 and 16 with basic arithmetic operations, we need to find a combination of these numbers that will yield 224 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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false
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"\\(14 \\times 16 = 224\\)"
] | {"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": "\\(14 \\times 16 = 224\\)", "start_line": 24, "end_line": 24, "context": "<answer> \\(14 \\times 16 = 224\\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 \\times 16 = 224\\)", "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 [14, 10], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 10*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, 10], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5469, \"numbers\": [14, 10], \"target\": 140, \"expression\": \"10*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5469, "numbers": [14, 10], "target": 140, "expression": "10*14"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 14 and 10, we need to find a combination of addition, subtraction, multiplication, and division that will result in 140 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
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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} | [
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"\\(14 \\times 10 = 140\\)"
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... | 2025-09-15 |
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 [89, 48], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 48 | 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 [89, 48], create an equation that equals 137. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5766, \"numbers\": [89, 48], \"target\": 137, \"expression\": \"89 + 48\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5766, "numbers": [89, 48], "target": 137, "expression": "89 + 48"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 137 using the given numbers 89 and 48 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 137. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"\\( 89 + 48 \\)"
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... | 2025-09-15 |
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 [71, 78], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 71 | 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 [71, 78], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6464, \"numbers\": [71, 78], \"target\": 149, \"expression\": \"78 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6464, "numbers": [71, 78], "target": 149, "expression": "78 + 71"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 149 using the numbers 71 and 78 with basic arithmetic operations, we need to find a combination of these numbers that will result in 149 when combined through addition, subtraction, multiplication, and division. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. **Iden... | [
false
] | [
""
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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 [2, 83], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 83*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 [2, 83], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5115, \"numbers\": [2, 83], \"target\": 166, \"expression\": \"83*2\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5115, "numbers": [2, 83], "target": 166, "expression": "83*2"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 2 and 83, we need to find a combination of addition, subtraction, multiplication, and division that will result in 166. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 2 and 83.\n2. **Consider possible c... | [
false
] | [
""
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"\\(2 \\times 83 = 166\\)"
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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 [42, 81], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 81 | 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 [42, 81], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5781, \"numbers\": [42, 81], \"target\": 123, \"expression\": \"42 + 81\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5781, "numbers": [42, 81], "target": 123, "expression": "42 + 81"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 42 and 81 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 123.\n2. **Consider poss... | [
false
] | [
""
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false
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"\\(42 + 81 = 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, "final_span_info": {"answer": "\\(42 + 81 = 123\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(42 + 81 = 123\\) </answer>", "start_pos": 9... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(42 + 81 = 123\\)", "final_answer": null}] | [
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"\\(42 + 81 = 123\\)"
]
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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, 69], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 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 [61, 69], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6578, \"numbers\": [61, 69], \"target\": 130, \"expression\": \"69 + 61\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6578, "numbers": [61, 69], "target": 130, "expression": "69 + 61"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 130 using the numbers 61 and 69 with basic arithmetic operations, we need to find a combination of these numbers that will result in 130 when combined through addition, subtraction, multiplication, and division. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. **Iden... | [
false
] | [
""
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false
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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 [50, 17], create an equation that equals 850. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17*50 | 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 [50, 17], create an equation that equals 850. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5199, \"numbers\": [50, 17], \"target\": 850, \"expression\": \"17*50\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5199, "numbers": [50, 17], "target": 850, "expression": "17*50"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 50 and 17, we need to find a combination of addition, subtraction, multiplication, and division that will result in 850. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 50 and 17.\n2. **Multiply the two numbers toget... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"50 \\times 17"
] | {"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": "50 \\times 17", "start_line": 18, "end_line": 18, "context": "Therefore, the answer is:", "start_pos": 522, "end_pos": 542}... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "50 \\times 17", "final_answer": null}] | [
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[
"50 \\times 17"
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... | 2025-09-15 |
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 [87, 7], create an equation that equals 609. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*87 | 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 [87, 7], create an equation that equals 609. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6162, \"numbers\": [87, 7], \"target\": 609, \"expression\": \"7*87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6162, "numbers": [87, 7], "target": 609, "expression": "7*87"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 87 and 7 exactly once to get the result 609 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 87 and 7.\n \n2. **Multiply the first number by itself**: \n \... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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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 [5, 24], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 24*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, 24], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5891, \"numbers\": [5, 24], \"target\": 120, \"expression\": \"24*5\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5891, "numbers": [5, 24], "target": 120, "expression": "24*5"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [5, 24] that equals 120, we need to find a combination of addition, subtraction, multiplication, and division that will result in 120 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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false
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"\\(24 \\times 5 = 120\\)"
] | {"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": "\\(24 \\times 5 = 120\\)", "start_line": 33, "end_line": 33, "context": "<answer> \\(24 \\times 5 = 120\\) </answer>", "sta... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(24 \\times 5 = 120\\)", "final_answer": null}] | [
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"\\(24 \\times 5 = 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 [95, 29], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 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 [95, 29], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6249, \"numbers\": [95, 29], \"target\": 124, \"expression\": \"95 + 29\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6249, "numbers": [95, 29], "target": 124, "expression": "95 + 29"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 95 and 29, we need to find a combination of addition, subtraction, multiplication, and division that will result in 124. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 124 from the given numbers.\n2. **Consider possible... | [
false
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""
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false
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"(95 \\times 29) - 11 + 10 = 124"
] | {"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": "(95 \\times 29) - 11 + 10 = 124", "start_line": 83, "end_line": 83, "context": "Line 83, final equation using the numbers 9... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(95 \\times 29) - 11 + 10 = 124", "final_answer": null}] | [
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"(95 \\times 29) - 11 + 10 = 124"
]
] | {"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": "(95 \\times 29) - 11 + 10 = 124", "start_line": 83, "end_line": 83, "context": "Line 83... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(95 \\times 29) - 11 + 10 = 124", "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 [99, 14], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 99 + 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 [99, 14], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5790, \"numbers\": [99, 14], \"target\": 113, \"expression\": \"99 + 14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5790, "numbers": [99, 14], "target": 113, "expression": "99 + 14"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 99 and 14, we need to find a combination of addition, subtraction, multiplication, and division that will result in 113. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 99 and 14.\n2. **Consider possible combinations... | [
false
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""
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false
] | [
"\\(99 + 14 = 113\\)"
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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, 3], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*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 [61, 3], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5164, \"numbers\": [61, 3], \"target\": 183, \"expression\": \"3*61\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5164, "numbers": [61, 3], "target": 183, "expression": "3*61"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 61 and 3 from the given list to create an equation that equals 183 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 61 by 3**: This will give us a large number.\n \\[\n 61 \\times 3 = 183\n \\]\n\nSo, t... | [
false
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""
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"61 \\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 [73, 63], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 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, 63], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6155, \"numbers\": [73, 63], \"target\": 136, \"expression\": \"63 + 73\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6155, "numbers": [73, 63], "target": 136, "expression": "63 + 73"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 73 and 63, we need to find a combination of addition, subtraction, multiplication, and division that will result in 136. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 136 from the given numbers.\n2. **Consider possible... | [
false
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""
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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 [46, 66], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 66 + 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 [46, 66], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6592, \"numbers\": [46, 66], \"target\": 112, \"expression\": \"66 + 46\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6592, "numbers": [46, 66], "target": 112, "expression": "66 + 46"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 46 and 66, we need to find a combination of addition, subtraction, multiplication, and division that will result in 112. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 112 from the given numbers.\n2. **Consider possible... | [
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 [96, 19], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 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 [96, 19], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6634, \"numbers\": [96, 19], \"target\": 115, \"expression\": \"96 + 19\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6634, "numbers": [96, 19], "target": 115, "expression": "96 + 19"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 96 and 19 from the given list to form an equation that equals 115 using basic arithmetic operations (addition, subtraction, multiplication, division). 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 11... | [
false
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""
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"(96 \\times 19) - 709"
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"(96 \\times 19) - 709"
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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": "(96 \\times 19) - 709", "start_line": 41, "end_line": 41, "context": "\\boxed{(96 \\tim... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(96 \\times 19) - 709", "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 [94, 95], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 94 | 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 [94, 95], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5105, \"numbers\": [94, 95], \"target\": 189, \"expression\": \"95 + 94\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5105, "numbers": [94, 95], "target": 189, "expression": "95 + 94"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 94 and 95, we need to find a way to combine them into an expression that equals 189. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 189.\n2. **Consider possible combinations**: Since we have two numbers (9... | [
false
] | [
""
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true
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"94 + 95"
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"94 + 95"
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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": "94 + 95", "start_line": 19, "end_line": 19, "context": "\\boxed{94 + 95}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "94 + 95", "final_answer": 189.0}]] | {
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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 [75, 29], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 29 + 75 | 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 [75, 29], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5949, \"numbers\": [75, 29], \"target\": 104, \"expression\": \"29 + 75\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5949, "numbers": [75, 29], "target": 104, "expression": "29 + 75"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 75 and 29, we need to find a combination of addition, subtraction, multiplication, and division that will result in 104. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 75 and 29.\n2. **Addition**: Adding these two n... | [
false
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""
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"\\(75 + 29 = 104\\)"
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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 [94, 79], create an equation that equals 173. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 94 | 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 [94, 79], create an equation that equals 173. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5206, \"numbers\": [94, 79], \"target\": 173, \"expression\": \"79 + 94\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5206, "numbers": [94, 79], "target": 173, "expression": "79 + 94"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 173 using the given numbers 94 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 173. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
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""
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... | 2025-09-15 |
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, 55], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 55 + 100 | countdown_2arg | countdown | [
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"To solve this problem using the numbers 100 and 55, we need to find a combination of addition, subtraction, multiplication, and division that will result in 155. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 100 and 55.\n2. **Addition**: Adding these two... | [
false
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""
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"\\(100 + 55\\)"
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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 [89, 65], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 89 + 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 [89, 65], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6691, \"numbers\": [89, 65], \"target\": 154, \"expression\": \"89 + 65\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6691, "numbers": [89, 65], "target": 154, "expression": "89 + 65"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 89 and 65, we need to find a combination of addition, subtraction, multiplication, and division that will result in 154. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 154 from the given numbers.\n2. **Consider possible... | [
false
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""
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"89 \\times 65 - 65"
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"89 \\times 65 - 65"
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... | 2025-09-15 |
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, 76], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 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, 76], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5063, \"numbers\": [27, 76], \"target\": 103, \"expression\": \"76 + 27\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5063, "numbers": [27, 76], "target": 103, "expression": "76 + 27"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 103 using the given numbers 27 and 76 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 103. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
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""
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"\\(27 + 76\\)"
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false
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"\\(27 + 76\\)"
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... | 2025-09-15 |
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 [63, 37], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 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 [63, 37], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6448, \"numbers\": [63, 37], \"target\": 100, \"expression\": \"63 + 37\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6448, "numbers": [63, 37], "target": 100, "expression": "63 + 37"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 63 and 37, we need to find a combination of addition, subtraction, multiplication, and division that will result in 100. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 63 and 37.\n2. **Consider possible combinations... | [
false
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""
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"\\(63 + 37 = 100\\)"
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"\\(63 + 37 = 100\\)"
]
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... | 2025-09-15 |
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, 74], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 49 + 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 [49, 74], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5038, \"numbers\": [49, 74], \"target\": 123, \"expression\": \"49 + 74\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5038, "numbers": [49, 74], "target": 123, "expression": "49 + 74"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 49 and 74 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 123. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 49 and 74.\n2. **Consider... | [
false
] | [
""
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false
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"(49 * 74) / 74 = 123"
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[
"(49 * 74) / 74 = 123"
]
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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 [23, 40], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40*23 | 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 [23, 40], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5358, \"numbers\": [23, 40], \"target\": 920, \"expression\": \"40*23\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5358, "numbers": [23, 40], "target": 920, "expression": "40*23"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [23, 40] 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 want to ge... | [
false
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""
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"23 \\times 40"
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"23 \\times 40"
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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, 2], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 2*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, 2], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6574, \"numbers\": [91, 2], \"target\": 182, \"expression\": \"2*91\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6574, "numbers": [91, 2], "target": 182, "expression": "2*91"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 91 and 2 from the given list to create an equation that equals 182 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 91 by 2**: This will give us a large number.\n \\[\n 91 \\times 2 = 182\n \\]\n\nSo, t... | [
false
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""
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"91 \\times 2"
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"91 \\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 [11, 85], create an equation that equals 935. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 11*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 [11, 85], create an equation that equals 935. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5776, \"numbers\": [11, 85], \"target\": 935, \"expression\": \"11*85\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5776, "numbers": [11, 85], "target": 935, "expression": "11*85"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [11, 85] that equals 935, we need to find a combination of addition, subtraction, multiplication, and division that will result in 935 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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""
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false
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"\\(11 \\times 85 = 935\\)"
] | {"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": "\\(11 \\times 85 = 935\\)", "start_line": 22, "end_line": 23, "context": "<answer> \\(11 \\times 85 = 935\\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(11 \\times 85 = 935\\)", "final_answer": null}] | [
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false
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[
"\\(11 \\times 85 = 935\\)"
]
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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, 3], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 100 + 3 | 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, 3], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5092, \"numbers\": [100, 3], \"target\": 103, \"expression\": \"100 + 3\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5092, "numbers": [100, 3], "target": 103, "expression": "100 + 3"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [100, 3], we need to create an equation that equals 103. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 103.\n2. **Consider Possible Operations**:\n - Addition (+): Can increase the value but won't help... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"(100 \\times 3) + 3"
] | {"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": "(100 \\times 3) + 3", "start_line": 29, "end_line": 29, "context": "\\boxed{(100 \\times 3) + 3}", "start_pos": 1208, "end_... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(100 \\times 3) + 3", "final_answer": null}] | [
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false
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[
"(100 \\times 3) + 3"
]
] | {"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": "(100 \\times 3) + 3", "start_line": 29, "end_line": 29, "context": "\\boxed{(100 \\time... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(100 \\times 3) + 3", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [23, 100], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 23 + 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 [23, 100], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6185, \"numbers\": [23, 100], \"target\": 123, \"expression\": \"23 + 100\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6185, "numbers": [23, 100], "target": 123, "expression": "23 + 100"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 123 using the given numbers [23, 100], we need to find a combination of addition, subtraction, multiplication, and division that will result in 123 when applied to these numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begi... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"\\( 23 + 100 = 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, "final_span_info": {"answer": "\\( 23 + 100 = 123 \\)", "start_line": 18, "end_line": 18, "context": "<answer> \\( 23 + 100 = 123 \\) </answer>", "start_p... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 23 + 100 = 123 \\)", "final_answer": null}] | [
[
false
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] | [
[
"\\( 23 + 100 = 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": "\\( 23 + 100 = 123 \\)", "start_line": 18, "end_line": 18, "context": "<answer> \\( 23 ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 23 + 100 = 123 \\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 91], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 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 [78, 91], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5647, \"numbers\": [78, 91], \"target\": 169, \"expression\": \"78 + 91\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5647, "numbers": [78, 91], "target": 169, "expression": "78 + 91"} | null | null | null | null | null | null | null | null | [
"To solve for 169 using the numbers 78 and 91 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 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.\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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null
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false} | [{"reason": "no_answer", "method": "llm_judge"}] | [
[]
] | [
[]
] | {"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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... | 2025-09-15 |
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 [39, 6], create an equation that equals 234. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 39*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 [39, 6], create an equation that equals 234. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6468, \"numbers\": [39, 6], \"target\": 234, \"expression\": \"39*6\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6468, "numbers": [39, 6], "target": 234, "expression": "39*6"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 39 and 6 exactly once to form an equation that equals 234. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 234 using the numbers 39 and 6.\n \n2. **Consider possible combinations**:\n - One wa... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"39 \\times 6"
] | {"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": "39 \\times 6", "start_line": 27, "end_line": 27, "context": "\\boxed{39 \\times 6}", "start_pos": 909, "end_pos": 929}, "to... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "39 \\times 6", "final_answer": null}] | [
[
false
]
] | [
[
"39 \\times 6"
]
] | {"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": "39 \\times 6", "start_line": 27, "end_line": 27, "context": "\\boxed{39 \\times 6}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "39 \\times 6", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [99, 4], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 99*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 [99, 4], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6234, \"numbers\": [99, 4], \"target\": 396, \"expression\": \"99*4\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6234, "numbers": [99, 4], "target": 396, "expression": "99*4"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 99 and 4, we need to find a combination of addition, subtraction, multiplication, and division that will result in 396. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 99 and 4.\n2. **Multiply 99 by 4**:\n \\[\n ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"99 \\times 4"
] | {"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": "99 \\times 4", "start_line": 18, "end_line": 18, "context": "Therefore, the answer is:", "start_pos": 501, "end_pos": 520},... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "99 \\times 4", "final_answer": null}] | [
[
false
]
] | [
[
"99 \\times 4"
]
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... | 2025-09-15 |
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 [87, 61], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 61 + 87 | 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 [87, 61], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6374, \"numbers\": [87, 61], \"target\": 148, \"expression\": \"61 + 87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6374, "numbers": [87, 61], "target": 148, "expression": "61 + 87"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 87 and 61 that equals 148, we need to find a combination of addition, subtraction, multiplication, and division that will result in 148 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
] | [
"87 \\times 61 - 175 = 148"
] | {"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": "87 \\times 61 - 175 = 148", "start_line": 55, "end_line": 55, "context": "<answer> \\(87 \\times 61 - 175 = 148\\) </answer... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "87 \\times 61 - 175 = 148", "final_answer": null}] | [
[
false
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] | [
[
"87 \\times 61 - 175 = 148"
]
] | {"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": "87 \\times 61 - 175 = 148", "start_line": 55, "end_line": 55, "context": "<answer> \\(8... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "87 \\times 61 - 175 = 148", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 78], create an equation that equals 468. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*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 [6, 78], create an equation that equals 468. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5936, \"numbers\": [6, 78], \"target\": 468, \"expression\": \"6*78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5936, "numbers": [6, 78], "target": 468, "expression": "6*78"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 6 and 78 from the given list to form an equation that equals 468 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 468.\n2. **Consider possible combinations**: Sin... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"6 \\times 78"
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] | [
[
"6 \\times 78"
]
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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, 61], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 72 + 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 [72, 61], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6077, \"numbers\": [72, 61], \"target\": 133, \"expression\": \"72 + 61\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6077, "numbers": [72, 61], "target": 133, "expression": "72 + 61"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 133 using the given numbers 72 and 61 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 133. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
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""
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false
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"\\(72 \\times 61 - 3059 = 133\\)"
] | {"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": "\\(72 \\times 61 - 3059 = 133\\)", "start_line": 26, "end_line": 26, "context": "<answer> \\(72 \\times 61 - 3059 = 133\\) ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(72 \\times 61 - 3059 = 133\\)", "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 [66, 14], create an equation that equals 924. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*66 | 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, 14], create an equation that equals 924. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5109, \"numbers\": [66, 14], \"target\": 924, \"expression\": \"14*66\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5109, "numbers": [66, 14], "target": 924, "expression": "14*66"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 924 using the given numbers 66 and 14, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 924. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to get from 0 to ... | [
false
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""
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false
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"66 \\times 14 = 924"
] | {"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": "66 \\times 14 = 924", "start_line": 48, "end_line": 48, "context": "<answer> \\( 66 \\times 14 = 924 \\) </answer>", "start... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "66 \\times 14 = 924", "final_answer": null}] | [
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"66 \\times 14 = 924"
]
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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 [13, 65], create an equation that equals 845. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 13*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 [13, 65], create an equation that equals 845. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5673, \"numbers\": [13, 65], \"target\": 845, \"expression\": \"13*65\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5673, "numbers": [13, 65], "target": 845, "expression": "13*65"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 13 and 65 from the given list to form an equation that equals 845 using basic arithmetic operations (addition, subtraction, multiplication, division). Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 13 and 65**:\n \\[\n 13 \\times 65 = 84... | [
false
] | [
""
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false
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"13 \\times 65"
] | {"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": "13 \\times 65", "start_line": 15, "end_line": 15, "context": "\\boxed{13 \\times 65}", "start_pos": 467, "end_pos": 488}, "... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "13 \\times 65", "final_answer": null}] | [
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false
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[
"13 \\times 65"
]
] | {"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": "13 \\times 65", "start_line": 15, "end_line": 15, "context": "\\boxed{13 \\times 65}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "13 \\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 [66, 5], create an equation that equals 330. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 66*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 [66, 5], create an equation that equals 330. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5721, \"numbers\": [66, 5], \"target\": 330, \"expression\": \"66*5\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5721, "numbers": [66, 5], "target": 330, "expression": "66*5"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 66 and 5 exactly once to get the result 330 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 66 by 5**:\n - This gives us \\( 66 \\times 5 = 330 \\).\n\nSo, the final equation would be:\n\\[ (66 \\time... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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 5) \\)"
] | {"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": "\\( (66 \\times 5) \\)", "start_line": 18, "end_line": 18, "context": "Line 18 inside <answer> tags with the equation", "st... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (66 \\times 5) \\)", "final_answer": null}] | [
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false
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[
"\\( (66 \\times 5) \\)"
]
] | {"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": "\\( (66 \\times 5) \\)", "start_line": 18, "end_line": 18, "context": "Line 18 inside <... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (66 \\times 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 [17, 33], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33*17 | 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, 33], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6405, \"numbers\": [17, 33], \"target\": 561, \"expression\": \"33*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6405, "numbers": [17, 33], "target": 561, "expression": "33*17"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [17, 33] that equals 561, we need to find a combination of addition, subtraction, multiplication, and division that will result in 561 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
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"\\(17 \\times 33 = 561\\)"
] | {"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": "\\(17 \\times 33 = 561\\)", "start_line": 27, "end_line": 27, "context": "<answer> \\(17 \\times 33 = 561\\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(17 \\times 33 = 561\\)", "final_answer": null}] | [
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false
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[
"\\(17 \\times 33 = 561\\)"
]
] | {"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": "\\(17 \\times 33 = 561\\)", "start_line": 27, "end_line": 27, "context": "<answer> \\(1... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(17 \\times 33 = 561\\)", "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, 9], create an equation that equals 342. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*38 | 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, 9], create an equation that equals 342. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6789, \"numbers\": [38, 9], \"target\": 342, \"expression\": \"9*38\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6789, "numbers": [38, 9], "target": 342, "expression": "9*38"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 38 and 9 from the given list to form an equation that equals 342 using basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 342.\n2. **Consider possible combinations**: Sin... | [
false
] | [
""
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false
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"38 \\times 9"
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"38 \\times 9"
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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 9", "start_line": 19, "end_line": 19, "context": "\\boxed{38 \\times 9}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "38 \\times 9", "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 [78, 68], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 68 + 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, 68], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5434, \"numbers\": [78, 68], \"target\": 146, \"expression\": \"68 + 78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5434, "numbers": [78, 68], "target": 146, "expression": "68 + 78"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 78 and 68, we need to find a combination of addition, subtraction, multiplication, and division that will result in 146. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 146 from the given numbers.\n2. **Consider possible... | [
false
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""
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true
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"78 + 68 = 146"
] | {"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": "78 + 68 = 146", "start_line": 28, "end_line": 28, "context": "\\boxed{78 + 68 = 146}", "start_pos": 1006, "end_pos": 1028},... | [{"is_correct": true, "error": null, "answer_block": "78 + 68 = 146", "final_answer": 146.0}] | [
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"78 + 68 = 146"
]
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... | 2025-09-15 |
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, 17], create an equation that equals 986. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 58*17 | 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, 17], create an equation that equals 986. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5817, \"numbers\": [58, 17], \"target\": 986, \"expression\": \"58*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5817, "numbers": [58, 17], "target": 986, "expression": "58*17"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 986 using the given numbers 58 and 17, we need to find a combination of addition, subtraction, multiplication, and division that will result in 986. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers**: We have 58 and 17.\n2. **Multiply them... | [
false
] | [
""
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false
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"58 \\times 17"
] | {"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": "58 \\times 17", "start_line": 17, "end_line": 17, "context": "Final Answer with boxed format", "start_pos": 557, "end_pos":... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "58 \\times 17", "final_answer": null}] | [
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false
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[
"58 \\times 17"
]
] | {"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": "58 \\times 17", "start_line": 17, "end_line": 17, "context": "Final Answer with boxed f... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "58 \\times 17", "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 [54, 97], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 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 [54, 97], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5153, \"numbers\": [54, 97], \"target\": 151, \"expression\": \"97 + 54\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5153, "numbers": [54, 97], "target": 151, "expression": "97 + 54"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 151 using the given numbers 54 and 97 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 151. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)"
] | {"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": "\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)", "start_line": 53, "end_line": 53, "context": "Line 53, final an... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)", "final_answer": null}] | [
[
false
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] | [
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"\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)"
]
] | {"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": "\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)", "start_line": 53, "end_line... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(54 \\times 97 - 4938 + 360 \\div 2 + 71 - 100 = 151\\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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, 33], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 69 | 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, 33], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5512, \"numbers\": [69, 33], \"target\": 102, \"expression\": \"33 + 69\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5512, "numbers": [69, 33], "target": 102, "expression": "33 + 69"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 69 and 33, 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 102 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"Step 1: 69 + 33 = 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": "Step 1: 69 + 33 = 102", "start_line": 34, "end_line": 34, "context": "line 34, final step showing the equation", "start_pos... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 69 + 33 = 102", "final_answer": 102.0}] | [
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true
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] | [
[
"Step 1: 69 + 33 = 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": "Step 1: 69 + 33 = 102", "start_line": 34, "end_line": 34, "context": "line 34, final st... | [[{"is_correct": true, "error": null, "answer_block": "Step 1: 69 + 33 = 102", "final_answer": 102.0}]] | {
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... | 2025-09-15 |
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 [87, 85], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 87 | 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 [87, 85], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5398, \"numbers\": [87, 85], \"target\": 172, \"expression\": \"85 + 87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5398, "numbers": [87, 85], "target": 172, "expression": "85 + 87"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 87 and 85, we need to find a combination of addition, subtraction, multiplication, and division that will result in 172 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
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"87 + 85"
] | {"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": "87 + 85", "start_line": 28, "end_line": 28, "context": "\\boxed{87 + 85}", "start_pos": 1094, "end_pos": 1110}, "total_span... | [{"is_correct": true, "error": null, "answer_block": "87 + 85", "final_answer": 172.0}] | [
[
true
]
] | [
[
"87 + 85"
]
] | {"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": "87 + 85", "start_line": 28, "end_line": 28, "context": "\\boxed{87 + 85}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "87 + 85", "final_answer": 172.0}]] | {
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... | 2025-09-15 |
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, 96], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5 + 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 [5, 96], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6090, \"numbers\": [5, 96], \"target\": 101, \"expression\": \"5 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6090, "numbers": [5, 96], "target": 101, "expression": "5 + 96"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 5 and 96 with the given constraints, 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 first number:** We begin with 5.\n - \\( 5 \... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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} | [
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"5 + 96"
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[
true
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] | [
[
"5 + 96"
]
] | {"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 + 96", "start_line": 14, "end_line": 14, "context": "\\boxed{5 + 96}", "start_pos": 4... | [[{"is_correct": true, "error": null, "answer_block": "5 + 96", "final_answer": 101.0}]] | {
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... | 2025-09-15 |
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, 84], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 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 [33, 84], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5141, \"numbers\": [33, 84], \"target\": 117, \"expression\": \"33 + 84\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5141, "numbers": [33, 84], "target": 117, "expression": "33 + 84"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 33 and 84 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
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"\\( 33 + 84 = 117 \\)"
] | {"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": "\\( 33 + 84 = 117 \\)", "start_line": 30, "end_line": 30, "context": "<answer> \\( 33 + 84 = 117 \\) </answer>", "start_pos... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 33 + 84 = 117 \\)", "final_answer": null}] | [
[
false
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] | [
[
"\\( 33 + 84 = 117 \\)"
]
] | {"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": "\\( 33 + 84 = 117 \\)", "start_line": 30, "end_line": 30, "context": "<answer> \\( 33 +... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 33 + 84 = 117 \\)", "final_answer": null}]] | {
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... | 2025-09-15 |
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 [71, 45], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 71 | 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 [71, 45], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6100, \"numbers\": [71, 45], \"target\": 116, \"expression\": \"45 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6100, "numbers": [71, 45], "target": 116, "expression": "45 + 71"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 71 and 45, we need to find a combination of addition, subtraction, multiplication, and division that will result in 116. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 116 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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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"71 + 45"
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[
true
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] | [
[
"71 + 45"
]
] | {"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 + 45", "start_line": 24, "end_line": 24, "context": "\\boxed{71 + 45}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "71 + 45", "final_answer": 116.0}]] | {
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... | 2025-09-15 |
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 [19, 29], create an equation that equals 551. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 19*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 [19, 29], create an equation that equals 551. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6422, \"numbers\": [19, 29], \"target\": 551, \"expression\": \"19*29\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6422, "numbers": [19, 29], "target": 551, "expression": "19*29"} | null | null | null | null | null | null | null | null | [
"To solve for 551 using the numbers 19 and 29 with basic arithmetic operations, we need to find a combination of these numbers that will yield 551 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
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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 29 = 551"
] | {"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": "19 \\times 29 = 551", "start_line": 24, "end_line": 24, "context": "<answer> \\(19 \\times 29 = 551\\) </answer>", "start_p... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "19 \\times 29 = 551", "final_answer": null}] | [
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[
"19 \\times 29 = 551"
]
] | {"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": "19 \\times 29 = 551", "start_line": 24, "end_line": 24, "context": "<answer> \\(19 \\ti... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "19 \\times 29 = 551", "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, 83], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 93 + 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 [93, 83], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6081, \"numbers\": [93, 83], \"target\": 176, \"expression\": \"93 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6081, "numbers": [93, 83], "target": 176, "expression": "93 + 83"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 93 and 83, we need to find a combination of addition, subtraction, multiplication, and division that will result in 176. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 93 and 83.\n2. **Consider Multiplication F... | [
false
] | [
""
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false
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"No valid solution found within the given constraints."
] | {"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": "No valid solution found within the given constraints.", "start_line": 25, "end_line": 25, "context": "No valid solution fou... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid solution found within the given constraints.", "final_answer": null}] | [
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"No valid solution found within the given constraints."
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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 [89, 73], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 89 | 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 [89, 73], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6795, \"numbers\": [89, 73], \"target\": 162, \"expression\": \"73 + 89\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6795, "numbers": [89, 73], "target": 162, "expression": "73 + 89"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 89 and 73, we need to find a combination of addition, subtraction, multiplication, and division that will result in 162. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 162 from the given numbers.\n2. **Consider possible... | [
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 [98, 34], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34 + 98 | 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, 34], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5907, \"numbers\": [98, 34], \"target\": 132, \"expression\": \"34 + 98\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5907, "numbers": [98, 34], "target": 132, "expression": "34 + 98"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 98 and 34, 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 98 and 34 to 132.\n \n2. **Consider possible... | [
false
] | [
""
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true
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"Step 1: 98 + 34 = 132"
] | {"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: 98 + 34 = 132", "start_line": 29, "end_line": 29, "context": "<answer> Step 1: 98 + 34 = 132 </answer>", "start_pos... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 98 + 34 = 132", "final_answer": 132.0}] | [
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"Step 1: 98 + 34 = 132"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 88], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37 + 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 [37, 88], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5940, \"numbers\": [37, 88], \"target\": 125, \"expression\": \"37 + 88\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5940, "numbers": [37, 88], "target": 125, "expression": "37 + 88"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 37 and 88, 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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"(37 \\times 88) - 171"
] | {"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": "(37 \\times 88) - 171", "start_line": 42, "end_line": 42, "context": "\\boxed{(37 \\times 88) - 171}", "start_pos": 1340, "... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(37 \\times 88) - 171", "final_answer": null}] | [
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[
"(37 \\times 88) - 171"
]
] | {"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": "(37 \\times 88) - 171", "start_line": 42, "end_line": 42, "context": "\\boxed{(37 \\tim... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(37 \\times 88) - 171", "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 [100, 27], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only... | 100 + 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 [100, 27], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /)... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6770, \"numbers\": [100, 27], \"target\": 127, \"expression\": \"100 + 27\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6770, "numbers": [100, 27], "target": 127, "expression": "100 + 27"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 100 and 27, we need to find a combination of addition, subtraction, multiplication, and division that will result in 127. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 100 and 27.\n2. **Addition**: Adding these two... | [
false
] | [
""
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false
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"\\( (100 + 27) \\)"
] | {"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": "\\( (100 + 27) \\)", "start_line": 16, "end_line": 16, "context": "This is our answer in the required format:", "start_pos"... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (100 + 27) \\)", "final_answer": null}] | [
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[
"\\( (100 + 27) \\)"
]
] | {"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": "\\( (100 + 27) \\)", "start_line": 16, "end_line": 16, "context": "This is our answer i... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (100 + 27) \\)", "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 [14, 87], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 87 + 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, 87], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6569, \"numbers\": [14, 87], \"target\": 101, \"expression\": \"87 + 14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6569, "numbers": [14, 87], "target": 101, "expression": "87 + 14"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 14 and 87 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 101. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 14.\n - \\( \\text{Current ... | [
false
] | [
""
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"(14 + 87)"
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[
true
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[
"(14 + 87)"
]
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... | 2025-09-15 |
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 [55, 15], create an equation that equals 825. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 15*55 | 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 [55, 15], create an equation that equals 825. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5168, \"numbers\": [55, 15], \"target\": 825, \"expression\": \"15*55\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5168, "numbers": [55, 15], "target": 825, "expression": "15*55"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 825 using the given numbers [55, 15], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 825. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 825 from th... | [
false
] | [
""
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false
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"55 \\times 15"
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"55 \\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": "55 \\times 15", "start_line": 28, "end_line": 28, "context": "\\boxed{55 \\times 15}", ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "55 \\times 15", "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 [85, 84], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 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 [85, 84], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6759, \"numbers\": [85, 84], \"target\": 169, \"expression\": \"85 + 84\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6759, "numbers": [85, 84], "target": 169, "expression": "85 + 84"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 85 and 84, we need to find a way to combine them into an expression that equals 169. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 85 and 84.\n2. **Consider Multiplication**: Since multiplication often helps i... | [
false
] | [
""
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false
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"(7140 - 84) + (-1) - 646"
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[
false
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[
"(7140 - 84) + (-1) - 646"
]
] | {"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": "(7140 - 84) + (-1) - 646", "start_line": 41, "end_line": 41, "context": "final answer i... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(7140 - 84) + (-1) - 646", "final_answer": 169.0}]] | {
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0
... | 2025-09-15 |
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, 67], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 95 + 67 | 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, 67], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6715, \"numbers\": [95, 67], \"target\": 162, \"expression\": \"95 + 67\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6715, "numbers": [95, 67], "target": 162, "expression": "95 + 67"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 162 using the given numbers 95 and 67 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 162. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We nee... | [
false
] | [
""
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false
] | [
"(95 - 67) \\times 2 = 162"
] | {"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": "(95 - 67) \\times 2 = 162", "start_line": 106, "end_line": 106, "context": "final answer is:", "start_pos": 2495, "end_pos"... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(95 - 67) \\times 2 = 162", "final_answer": null}] | [
[
false
]
] | [
[
"(95 - 67) \\times 2 = 162"
]
] | {"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": "(95 - 67) \\times 2 = 162", "start_line": 106, "end_line": 106, "context": "final answe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(95 - 67) \\times 2 = 162", "final_answer": null}]] | {
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0
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0
... | 2025-09-15 |
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, 27], create an equation that equals 891. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 27*33 | 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, 27], create an equation that equals 891. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5575, \"numbers\": [33, 27], \"target\": 891, \"expression\": \"27*33\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5575, "numbers": [33, 27], "target": 891, "expression": "27*33"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 891 using the given numbers 33 and 27, we need to find a combination of addition, subtraction, multiplication, and division that will result in 891. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 891.\n2. **Consid... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"33 * 27"
] | {"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": "33 * 27", "start_line": 31, "end_line": 31, "context": "Therefore, the final answer is:", "start_pos": 1404, "end_pos": 141... | [{"is_correct": true, "error": null, "answer_block": "33 * 27", "final_answer": 891.0}] | [
[
true
]
] | [
[
"33 * 27"
]
] | {"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": "33 * 27", "start_line": 31, "end_line": 31, "context": "Therefore, the final answer is:... | [[{"is_correct": true, "error": null, "answer_block": "33 * 27", "final_answer": 891.0}]] | {
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0
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0
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0
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0
... | 2025-09-15 |
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, 42], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 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 [96, 42], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6807, \"numbers\": [96, 42], \"target\": 138, \"expression\": \"42 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6807, "numbers": [96, 42], "target": 138, "expression": "42 + 96"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 138 using the given numbers 96 and 42 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 138. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the two numbers*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37253/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
] | [
"96 + 42"
] | {"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": "96 + 42", "start_line": 40, "end_line": 40, "context": "\\boxed{96 + 42}", "start_pos": 1143, "end_pos": 1159}, "total_span... | [{"is_correct": true, "error": null, "answer_block": "96 + 42", "final_answer": 138.0}] | [
[
true
]
] | [
[
"96 + 42"
]
] | {"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": "96 + 42", "start_line": 40, "end_line": 40, "context": "\\boxed{96 + 42}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "96 + 42", "final_answer": 138.0}]] | {
"flips_by": [
0
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"num_correct": 1,
"pass_at_n": null,
"percent_correct": null,
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0
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],
"reflect_close": [
0
],
"reflect_open": [
0
],
"reflection_sbon": [
0
... | 2025-09-15 |
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