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 [55, 99], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 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 [55, 99], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6144, \"numbers\": [55, 99], \"target\": 154, \"expression\": \"55 + 99\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6144, "numbers": [55, 99], "target": 154, "expression": "55 + 99"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 154 using the given numbers 55 and 99, we need to find a combination of addition, subtraction, multiplication, and division that will result in 154 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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"(55 + 99) - 50"
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[
false
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"(55 + 99) - 50"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [84, 63], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 84 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [84, 63], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5016, \"numbers\": [84, 63], \"target\": 147, \"expression\": \"63 + 84\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5016, "numbers": [84, 63], "target": 147, "expression": "63 + 84"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 84 and 63 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 147. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 147.\n \n2. **Consider... | [
false
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""
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false
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"\\( 84 + 63 = 147 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 84 + 63 = 147 \\)", "start_line": 46, "end_line": 46, "context": "<answer> \\( 84 + 63 = 147 \\) </answer>", "start_pos... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 84 + 63 = 147 \\)", "final_answer": null}] | [
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false
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"\\( 84 + 63 = 147 \\)"
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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, 4], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 28*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 [28, 4], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5242, \"numbers\": [28, 4], \"target\": 112, \"expression\": \"28*4\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5242, "numbers": [28, 4], "target": 112, "expression": "28*4"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 28 and 4, 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 numbers 28 and 4.\n \n2. **Consider p... | [
false
] | [
""
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false
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"(28 \\times 4)"
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"(28 \\times 4)",
"(28 \\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 [97, 63], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 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 [97, 63], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5204, \"numbers\": [97, 63], \"target\": 160, \"expression\": \"97 + 63\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5204, "numbers": [97, 63], "target": 160, "expression": "97 + 63"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 160 using the given numbers 97 and 63 with each number being used exactly once, we need to find a combination of addition, subtraction, multiplication, and division that will result in 160. 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
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"97 + 63"
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true
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[
"97 + 63"
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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": "97 + 63", "start_line": 54, "end_line": 54, "context": "Therefore, the final answer is:... | [[{"is_correct": true, "error": null, "answer_block": "97 + 63", "final_answer": 160.0}]] | {
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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 [31, 18], create an equation that equals 558. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 31*18 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [31, 18], create an equation that equals 558. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5950, \"numbers\": [31, 18], \"target\": 558, \"expression\": \"31*18\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5950, "numbers": [31, 18], "target": 558, "expression": "31*18"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 31 and 18, we need to find a combination of addition, subtraction, multiplication, and division that will result in 558. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 31 and 18.\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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"31 \\times 18"
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[
false
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"31 \\times 18"
]
] | {"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": "31 \\times 18", "start_line": 19, "end_line": 19, "context": "So, the final answer is:"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "31 \\times 18", "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 [21, 18], create an equation that equals 378. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*21 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [21, 18], create an equation that equals 378. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6084, \"numbers\": [21, 18], \"target\": 378, \"expression\": \"18*21\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6084, "numbers": [21, 18], "target": 378, "expression": "18*21"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 21 and 18 that equals 378, we need to find a combination of addition, subtraction, multiplication, and division that will result in 378 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 c... | [
false
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""
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false
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"\\(21 \\times 18 = 378\\)"
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"\\(21 \\times 18 = 378\\)"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [12, 53], create an equation that equals 636. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 53*12 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [12, 53], create an equation that equals 636. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5557, \"numbers\": [12, 53], \"target\": 636, \"expression\": \"53*12\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5557, "numbers": [12, 53], "target": 636, "expression": "53*12"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 12 and 53 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 636. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 12 and 53**:\n \\[\n 12 \\times 53 = 636\n \\]\n \n ... | [
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 [74, 39], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 39 + 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 [74, 39], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6200, \"numbers\": [74, 39], \"target\": 113, \"expression\": \"39 + 74\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6200, "numbers": [74, 39], "target": 113, "expression": "39 + 74"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 113 using the given numbers 74 and 39 with each number being used exactly once, 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 two numbers*... | [
false
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""
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true
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"74 + 39"
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"74 + 39"
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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, 53], create an equation that equals 742. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 53*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, 53], create an equation that equals 742. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6749, \"numbers\": [14, 53], \"target\": 742, \"expression\": \"53*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6749, "numbers": [14, 53], "target": 742, "expression": "53*14"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [14, 53] that equals 742, we need to find a combination of addition, subtraction, multiplication, and division that will result in 742 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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"(14 + 53) \\times 10 + 72"
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"(14 + 53) \\times 10 + 72",
"(14 + 53) \\times 10 + 72",
"(14 + 53) \\times 10 + 72"
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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, 96], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 96 + 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, 96], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5606, \"numbers\": [50, 96], \"target\": 146, \"expression\": \"96 + 50\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5606, "numbers": [50, 96], "target": 146, "expression": "96 + 50"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 50 and 96 that equals 146, we need to find a combination of addition, subtraction, multiplication, and division that will result in 146 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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"\\(50 \\times 96 - 50 - 96 + 50 = 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": "\\(50 \\times 96 - 50 - 96 + 50 = 146\\)", "start_line": 37, "end_line": 37, "context": "<answer> \\(50 \\times 96 - 50 - 9... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(50 \\times 96 - 50 - 96 + 50 = 146\\)", "final_answer": null}] | [
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"\\(50 \\times 96 - 50 - 96 + 50 = 146\\)"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [53, 64], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 53 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [53, 64], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6329, \"numbers\": [53, 64], \"target\": 117, \"expression\": \"64 + 53\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6329, "numbers": [53, 64], "target": 117, "expression": "64 + 53"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 53 and 64 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 117. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 117.\n2. **Consider poss... | [
false
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""
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false
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"\\(53 + 64 = 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": "\\(53 + 64 = 117\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(53 + 64 = 117\\) </answer>", "start_pos": 8... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(53 + 64 = 117\\)", "final_answer": null}] | [
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"\\(53 + 64 = 117\\)"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [36, 88], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 36 + 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 [36, 88], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6695, \"numbers\": [36, 88], \"target\": 124, \"expression\": \"36 + 88\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6695, "numbers": [36, 88], "target": 124, "expression": "36 + 88"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 36 and 88 from the given list to form an equation that equals 124 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 12... | [
false
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""
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false
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"88 \\times 1.4 + 0.8"
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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 [63, 95], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 95 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [63, 95], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5728, \"numbers\": [63, 95], \"target\": 158, \"expression\": \"63 + 95\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5728, "numbers": [63, 95], "target": 158, "expression": "63 + 95"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 63 and 95 with the given constraints, we need to find a combination of addition, subtraction, multiplication, and division that will result in 158. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the sum of 158.\n2. ... | [
false
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""
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"\\( 63 + 95 = 158 \\)"
] | {"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": "\\( 63 + 95 = 158 \\)", "start_line": 46, "end_line": 46, "context": "<answer> \\( 63 + 95 = 158 \\) </answer>", "start_pos... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 63 + 95 = 158 \\)", "final_answer": null}] | [
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"\\( 63 + 95 = 158 \\)"
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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, 87], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 87*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 [3, 87], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6315, \"numbers\": [3, 87], \"target\": 261, \"expression\": \"87*3\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6315, "numbers": [3, 87], "target": 261, "expression": "87*3"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 261 using the given numbers [3, 87], we need to find a combination of addition, subtraction, multiplication, and division that will result in 261 when applied to these numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target... | [
false
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""
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false
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"87 \\times 3"
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"87 \\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 [92, 32], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 92 + 32 | 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 [92, 32], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6432, \"numbers\": [92, 32], \"target\": 124, \"expression\": \"92 + 32\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6432, "numbers": [92, 32], "target": 124, "expression": "92 + 32"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 92 and 32, 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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"\\( 92 + 32 = 124 \\)"
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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, 81], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [85, 81], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5059, \"numbers\": [85, 81], \"target\": 166, \"expression\": \"81 + 85\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5059, "numbers": [85, 81], "target": 166, "expression": "81 + 85"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 85 and 81, 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. **Identify the Numbers**: We have two numbers: 85 and 81.\n2. **Consider Multiplication F... | [
false
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""
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"(85 + 81)"
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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 [56, 88], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 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, 88], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6647, \"numbers\": [56, 88], \"target\": 144, \"expression\": \"88 + 56\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6647, "numbers": [56, 88], "target": 144, "expression": "88 + 56"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 56 and 88, we need to find a combination of addition, subtraction, multiplication, and division that will result in 144. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 144 from the given numbers.\n2. **Consider possible... | [
false
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""
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true
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"56 + 88"
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true
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[
"56 + 88 = 144",
"56 + 88"
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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 [51, 4], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 4*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 [51, 4], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6817, \"numbers\": [51, 4], \"target\": 204, \"expression\": \"4*51\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6817, "numbers": [51, 4], "target": 204, "expression": "4*51"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [51, 4], we need to find a way to combine these numbers with basic arithmetic operations to get the target number 204. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target is 204.\n2. **Consider Multiplication and Addition**:\n... | [
false
] | [
""
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"\\(51 * 4 = 204\\)"
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"\\(51 * 4 = 204\\)"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "\\(51 * 4 = 204\\)", "start_line": 28, "end_line": 28, "context": "<answer> \\(51 * 4 =... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(51 * 4 = 204\\)", "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 [36, 3], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*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 [36, 3], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6755, \"numbers\": [36, 3], \"target\": 108, \"expression\": \"3*36\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6755, "numbers": [36, 3], "target": 108, "expression": "3*36"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 36 and 3 from the given list to create an equation that equals 108 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 36 by 3**:\n \\[\n 36 \\times 3 = 108\n \\]\n\nThis multiplication directly gives us t... | [
false
] | [
""
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false
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"36 \\times 3"
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[
"36 \\times 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": "36 \\times 3", "start_line": 13, "end_line": 13, "context": "\\boxed{36 \\times 3}", "s... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "36 \\times 3", "final_answer": null}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [67, 47], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 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 [67, 47], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5313, \"numbers\": [67, 47], \"target\": 114, \"expression\": \"47 + 67\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5313, "numbers": [67, 47], "target": 114, "expression": "47 + 67"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 67 and 47, we need to find a combination of addition, subtraction, multiplication, and division that will result in 114. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 114 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
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"(67 \\times 4) + ((47 \\times 4) - 400)"
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"(67 \\times 4) + ((47 \\times 4) - 400)"
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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": "(67 \\times 4) + ((47 \\times 4) - 400)", "start_line": 42, "end_line": 42, "context": ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(67 \\times 4) + ((47 \\times 4) - 400)", "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 [62, 16], create an equation that equals 992. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 16], create an equation that equals 992. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5289, \"numbers\": [62, 16], \"target\": 992, \"expression\": \"16*62\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5289, "numbers": [62, 16], "target": 992, "expression": "16*62"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 62 and 16 from the given list to form an equation that equals 992 using basic arithmetic operations. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 62 by 16**:\n \\[\n 62 \\times 16 = 992\n \\]\n\nThis multiplication directly gives us ... | [
false
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""
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false
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"62 \\times 16"
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"62 \\times 16"
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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 [52, 77], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 77 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [52, 77], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6594, \"numbers\": [52, 77], \"target\": 129, \"expression\": \"52 + 77\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6594, "numbers": [52, 77], "target": 129, "expression": "52 + 77"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 129 using the given numbers 52 and 77 with each number being used exactly once, 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. **Start with the two numbers*... | [
false
] | [
""
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"Step 1: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 4009 - 26 = 3983\nStep 5: 3983 - 25 = 3958\nStep 6: 3958 - 24 = 3934\nStep 7: 3934 - 23 = 3911\nStep 8: 3911 - 22 = 3889\nStep 9: 3889 - 21 = 3868\nStep 10: 3868 - 20 = 3848\nStep 11: 3848 - 19 = 3829\nStep 12: 3829 - 18 = 3811\nSt... | {"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: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 4009 - 26 = 3983\nStep 5: 3983 - 25 = 3... | [{"is_correct": false, "error": "Incorrect arithmetic in line: Step 1: 52 * 77 = 4064", "answer_block": "Step 1: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 4009 - 26 = 3983\nStep 5: 3983 - 25 = 3958\nStep 6: 3958 - 24 = 3934\nStep 7: 3934 - 23 = 3911\nStep 8: 3911 - 22 = 3889\nStep 9: 3... | [
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[
"Step 1: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 4009 - 26 = 3983\nStep 5: 3983 - 25 = 3958\nStep 6: 3958 - 24 = 3934\nStep 7: 3934 - 23 = 3911\nStep 8: 3911 - 22 = 3889\nStep 9: 3889 - 21 = 3868\nStep 10: 3868 - 20 = 3848\nStep 11: 3848 - 19 = 3829\nStep 12: 3829 - 18 = 38... | {"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: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 400... | [[{"is_correct": false, "error": "Incorrect arithmetic in line: Step 1: 52 * 77 = 4064", "answer_block": "Step 1: 52 * 77 = 4064\nStep 2: 4064 - 28 = 4036\nStep 3: 4036 - 27 = 4009\nStep 4: 4009 - 26 = 3983\nStep 5: 3983 - 25 = 3958\nStep 6: 3958 - 24 = 3934\nStep 7: 3934 - 23 = 3911\nStep 8: 3911 - 22 = 3889\nStep 9: ... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 28], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 28 + 76 | 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 [76, 28], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5642, \"numbers\": [76, 28], \"target\": 104, \"expression\": \"28 + 76\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5642, "numbers": [76, 28], "target": 104, "expression": "28 + 76"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 76 and 28, 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. **Identify the goal**: We want to get from 76 and 28 to 104.\n \n2. **Consider possible... | [
false
] | [
""
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false
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"\\(76 - 28 + 28 = 104\\)"
] | {"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": "\\(76 - 28 + 28 = 104\\)", "start_line": 36, "end_line": 36, "context": "<answer> \\(76 - 28 + 28 = 104\\) </answer>", "sta... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(76 - 28 + 28 = 104\\)", "final_answer": null}] | [
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"\\(76 - 28 + 28 = 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 [43, 87], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43 + 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 [43, 87], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5172, \"numbers\": [43, 87], \"target\": 130, \"expression\": \"43 + 87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5172, "numbers": [43, 87], "target": 130, "expression": "43 + 87"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 43 and 87 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 130. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 130.\n2. **Consider poss... | [
false
] | [
""
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false
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"\\(43 + 87 = 130\\)"
] | {"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": "\\(43 + 87 = 130\\)", "start_line": 25, "end_line": 25, "context": "<answer> \\(43 + 87 = 130\\) </answer>", "start_pos": 8... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(43 + 87 = 130\\)", "final_answer": null}] | [
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"\\(43 + 87 = 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 [79, 23], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 23 | 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, 23], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5154, \"numbers\": [79, 23], \"target\": 102, \"expression\": \"79 + 23\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5154, "numbers": [79, 23], "target": 102, "expression": "79 + 23"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 79 and 23, we need to find a combination of addition, subtraction, multiplication, and division that will result in 102. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have two numbers: 79 and 23.\n2. **Consider possible... | [
false
] | [
""
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false
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"\\(79 + 23 = 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": "\\(79 + 23 = 102\\)", "start_line": 22, "end_line": 22, "context": "<answer> \\(79 + 23 = 102\\) </answer>", "start_pos": 8... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 23 = 102\\)", "final_answer": null}] | [
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"\\(79 + 23 = 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": "\\(79 + 23 = 102\\)", "start_line": 22, "end_line": 22, "context": "<answer> \\(79 + 23... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 23 = 102\\)", "final_answer": null}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [50, 83], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 50 + 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 [50, 83], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6083, \"numbers\": [50, 83], \"target\": 133, \"expression\": \"50 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6083, "numbers": [50, 83], "target": 133, "expression": "50 + 83"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 50 and 83, 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 given numbers**: We have two numbers: 50 and 83.\n2. **Consider possible... | [
false
] | [
""
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false
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"\\(50 + 83\\)"
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false
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] | [
[
"\\(50 + 83\\)"
]
] | {"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": "\\(50 + 83\\)", "start_line": 24, "end_line": 24, "context": "<answer> \\(50 + 83\\) </... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(50 + 83\\)", "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 [91, 24], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 24 + 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, 24], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6291, \"numbers\": [91, 24], \"target\": 115, \"expression\": \"24 + 91\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6291, "numbers": [91, 24], "target": 115, "expression": "24 + 91"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 91 and 24, we need to find a combination of addition, subtraction, multiplication, and division that will result in 115. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 115 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
] | [
"\\( 91 \\times 24 = 2184 \\)\n\\( 2184 \\div 20 = 109.2 \\)\n\\( 109.2 - 10.2 = 115 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( 91 \\times 24 = 2184 \\)\n\\( 2184 \\div 20 = 109.2 \\)\n\\( 109.2 - 10.2 = 115 \\)", "start_line": 38, "end_line": 41,... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 91 \\times 24 = 2184 \\)\n\\( 2184 \\div 20 = 109.2 \\)\n\\( 109.2 - 10.2 = 115 \\)", "final_answer": null}] | [
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] | [
[
"\\( 91 \\times 24 = 2184 \\)\n\\( 2184 \\div 20 = 109.2 \\)\n\\( 109.2 - 10.2 = 115 \\)"
]
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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, 46], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 46 + 95 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [95, 46], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5960, \"numbers\": [95, 46], \"target\": 141, \"expression\": \"46 + 95\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5960, "numbers": [95, 46], "target": 141, "expression": "46 + 95"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 95 and 46, we need to find a combination of addition, subtraction, multiplication, and division that will result in 141. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 141 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, 11], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 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 [98, 11], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6293, \"numbers\": [98, 11], \"target\": 109, \"expression\": \"98 + 11\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6293, "numbers": [98, 11], "target": 109, "expression": "98 + 11"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 98 and 11, we need to find a combination of addition, subtraction, multiplication, and division that will result in 109. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 98 and 11.\n2. **Addition**: Adding these two n... | [
false
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""
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"98 + 11"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [4, 73], create an equation that equals 292. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 73*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 [4, 73], create an equation that equals 292. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5888, \"numbers\": [4, 73], \"target\": 292, \"expression\": \"73*4\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5888, "numbers": [4, 73], "target": 292, "expression": "73*4"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [4, 73] that equals 292, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 292. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the sum of ... | [
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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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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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, 37], create an equation that equals 518. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37*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, 37], create an equation that equals 518. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6426, \"numbers\": [14, 37], \"target\": 518, \"expression\": \"37*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6426, "numbers": [14, 37], "target": 518, "expression": "37*14"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [14, 37] that equals 518, we need to find a combination of addition, subtraction, multiplication, and division that will result in 518 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to ge... | [
false
] | [
""
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false
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"\\(14 \\times 37 = 518\\)"
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false
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"\\(14 \\times 37 = 518\\)"
]
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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 [39, 91], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 39 | 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, 91], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5142, \"numbers\": [39, 91], \"target\": 130, \"expression\": \"91 + 39\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5142, "numbers": [39, 91], "target": 130, "expression": "91 + 39"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 39 and 91 from the given list to form an equation that equals 130 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 13... | [
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 38) - 130 = 130"
] | {"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 38) - 130 = 130", "start_line": 78, "end_line": 78, "context": "<answer> \\( (39 \\times 38) - 130 = 130 \\) </... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(39 \\times 38) - 130 = 130", "final_answer": null}] | [
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"(39 \\times 38) - 130 = 130"
]
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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, 25], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 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, 25], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6152, \"numbers\": [90, 25], \"target\": 115, \"expression\": \"25 + 90\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6152, "numbers": [90, 25], "target": 115, "expression": "25 + 90"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 90 and 25, we need to find a combination of addition, subtraction, multiplication, and division that will result in 115. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 90 and 25.\n2. **Consider possible combinations... | [
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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"\\(90 + 25 = 115\\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\(90 + 25 = 115\\)", "start_line": 25, "end_line": 25, "context": "line 25, inside <answer> tags", "start_pos": 924, "end_... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(90 + 25 = 115\\)", "final_answer": null}] | [
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false
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] | [
[
"\\(90 + 25 = 115\\)"
]
] | {"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 + 25 = 115\\)", "start_line": 25, "end_line": 25, "context": "line 25, inside <an... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(90 + 25 = 115\\)", "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 [20, 47], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47*20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [20, 47], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5704, \"numbers\": [20, 47], \"target\": 940, \"expression\": \"47*20\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5704, "numbers": [20, 47], "target": 940, "expression": "47*20"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 20 and 47 that equals 940, we need to find a combination of addition, subtraction, multiplication, and division that will result in 940 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
] | [
"\\(20 \\times 47 = 940\\)"
] | {"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": "\\(20 \\times 47 = 940\\)", "start_line": 31, "end_line": 31, "context": "line 31 inside <answer> tags", "start_pos": 1335,... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(20 \\times 47 = 940\\)", "final_answer": null}] | [
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false
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] | [
[
"\\(20 \\times 47 = 940\\)"
]
] | {"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": "\\(20 \\times 47 = 940\\)", "start_line": 31, "end_line": 31, "context": "line 31 insid... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(20 \\times 47 = 940\\)", "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 [90, 15], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 15 + 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, 15], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5406, \"numbers\": [90, 15], \"target\": 105, \"expression\": \"15 + 90\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5406, "numbers": [90, 15], "target": 105, "expression": "15 + 90"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 90 and 15, we need to find a combination of addition, subtraction, multiplication, and division that will result in 105. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 90 and 15 to 105.\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} | [
true
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"90 + 15"
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"90 + 15"
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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 [7, 19], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 19*7 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [7, 19], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6625, \"numbers\": [7, 19], \"target\": 133, \"expression\": \"19*7\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6625, "numbers": [7, 19], "target": 133, "expression": "19*7"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 7 and 19 that equals 133, we need to find a combination of addition, subtraction, multiplication, and division that will result in 133 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to ge... | [
false
] | [
""
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false
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"\\(7 \\times 19 = 133\\)"
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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 [30, 26], create an equation that equals 780. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 26*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, 26], create an equation that equals 780. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5249, \"numbers\": [30, 26], \"target\": 780, \"expression\": \"26*30\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5249, "numbers": [30, 26], "target": 780, "expression": "26*30"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 30 and 26, we need to find a combination of addition, subtraction, multiplication, and division that will result in 780. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 780 from the given numbers.\n2. **Consider possible... | [
false
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""
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true
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"30 * 26"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [43, 17], create an equation that equals 731. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43*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 [43, 17], create an equation that equals 731. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6705, \"numbers\": [43, 17], \"target\": 731, \"expression\": \"43*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6705, "numbers": [43, 17], "target": 731, "expression": "43*17"} | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [43, 17] that equals 731, we need to find a combination of addition, subtraction, multiplication, and division that will result in 731 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to co... | [
false
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""
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"\\(43 \\times 17 = 731\\)"
] | {"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": "\\(43 \\times 17 = 731\\)", "start_line": 27, "end_line": 27, "context": "line 27 inside <answer> tags", "start_pos": 1080,... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(43 \\times 17 = 731\\)", "final_answer": null}] | [
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"\\(43 \\times 17 = 731\\)"
]
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [9, 18], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 9*18 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [9, 18], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5338, \"numbers\": [9, 18], \"target\": 162, \"expression\": \"9*18\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5338, "numbers": [9, 18], "target": 162, "expression": "9*18"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 162 using the given numbers [9, 18], we need to find a combination of these numbers through 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... | [
false
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""
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false
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"(9 \\times 18) = 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": "(9 \\times 18) = 162", "start_line": 30, "end_line": 30, "context": "\\boxed{(9 \\times 18) = 162}", "start_pos": 1023, "en... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(9 \\times 18) = 162", "final_answer": null}] | [
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"(9 \\times 18) = 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": "(9 \\times 18) = 162", "start_line": 30, "end_line": 30, "context": "\\boxed{(9 \\times... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(9 \\times 18) = 162", "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 [88, 84], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 88 + 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 [88, 84], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5872, \"numbers\": [88, 84], \"target\": 172, \"expression\": \"88 + 84\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5872, "numbers": [88, 84], "target": 172, "expression": "88 + 84"} | null | null | null | null | null | null | null | null | [
"To solve for the target number 172 using the numbers 88 and 84 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 172 when applied to these two numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goa... | [
false
] | [
""
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true
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"88 + 84"
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"88 + 84"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "88 + 84", "start_line": 40, "end_line": 40, "context": "\\boxed{88 + 84}", "start_pos":... | [[{"is_correct": true, "error": null, "answer_block": "88 + 84", "final_answer": 172.0}]] | {
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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 [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 22 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6101, \"numbers\": [22, 78], \"target\": 100, \"expression\": \"78 + 22\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6101, "numbers": [22, 78], "target": 100, "expression": "78 + 22"} | 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.\n \n2. **Consider pos... | [
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": 31, "end_line": 31, "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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"\\(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": 31, "end_line": 31, "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 [5, 40], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*40 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [5, 40], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6102, \"numbers\": [5, 40], \"target\": 200, \"expression\": \"5*40\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6102, "numbers": [5, 40], "target": 200, "expression": "5*40"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 5 and 40 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 200. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the numbers**: We have two numbers: 5 and 40.\n2. **Consider pos... | [
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 \\times 40 = 200\\)"
] | {"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": "\\(5 \\times 40 = 200\\)", "start_line": 23, "end_line": 23, "context": "<answer> \\(5 \\times 40 = 200\\) </answer>", "sta... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(5 \\times 40 = 200\\)", "final_answer": null}] | [
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"\\(5 \\times 40 = 200\\)"
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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": "\\(5 \\times 40 = 200\\)", "start_line": 23, "end_line": 23, "context": "<answer> \\(5 ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(5 \\times 40 = 200\\)", "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 [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 44 + 62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5576, \"numbers\": [62, 44], \"target\": 106, \"expression\": \"44 + 62\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5576, "numbers": [62, 44], "target": 106, "expression": "44 + 62"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 62 and 44, we need to find a combination of addition, subtraction, multiplication, and division that will result in 106. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get from 62 and 44 to 106.\n \n2. **Consider possible... | [
false
] | [
""
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false
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"\\(62 + 44 = 106\\)"
] | {"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": "\\(62 + 44 = 106\\)", "start_line": 19, "end_line": 19, "context": "<answer> \\(62 + 44 = 106\\) </answer>", "start_pos": 9... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(62 + 44 = 106\\)", "final_answer": null}] | [
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"\\(62 + 44 = 106\\)"
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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, 94], create an equation that equals 190. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94 + 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, 94], create an equation that equals 190. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6718, \"numbers\": [96, 94], \"target\": 190, \"expression\": \"94 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6718, "numbers": [96, 94], "target": 190, "expression": "94 + 96"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 96 and 94, we need to find a combination of addition, subtraction, multiplication, and division that will result in 190. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 190 from the given numbers.\n2. **Consider possible... | [
false
] | [
""
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false
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"(96 - 94 + 10) \\times 8.5"
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"(96 - 94 + 10) \\times 8.5"
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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 [79, 64], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 64 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [79, 64], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5892, \"numbers\": [79, 64], \"target\": 143, \"expression\": \"79 + 64\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5892, "numbers": [79, 64], "target": 143, "expression": "79 + 64"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 79 and 64 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 143. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as 143.\n2. **Consider poss... | [
false
] | [
""
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true
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"79 + 64 = 143"
] | {"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 + 64 = 143", "start_line": 40, "end_line": 40, "context": "<answer> \\(79 + 64 = 143\\) </answer>", "start_pos": 1328, "... | [{"is_correct": true, "error": null, "answer_block": "79 + 64 = 143", "final_answer": 143.0}] | [
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[
"79 + 64 = 143"
]
] | {"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 + 64 = 143", "start_line": 40, "end_line": 40, "context": "<answer> \\(79 + 64 = 143... | [[{"is_correct": true, "error": null, "answer_block": "79 + 64 = 143", "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 [42, 20], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42*20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [42, 20], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5468, \"numbers\": [42, 20], \"target\": 840, \"expression\": \"42*20\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5468, "numbers": [42, 20], "target": 840, "expression": "42*20"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 42 and 20 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 840. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 42 and 20.\n2. **Multiply the ... | [
false
] | [
""
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false
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"42 \\times 20"
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[
false
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] | [
[
"42 \\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": "42 \\times 20", "start_line": 19, "end_line": 19, "context": "Therefore, the answer is:... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "42 \\times 20", "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, 71], 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 [78, 71], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5537, \"numbers\": [78, 71], \"target\": 149, \"expression\": \"78 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5537, "numbers": [78, 71], "target": 149, "expression": "78 + 71"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 78 and 71, we need to find a combination of addition, subtraction, multiplication, and division that will result in 149. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 78 and 71.\n2. **Consider Multiplication F... | [
false
] | [
""
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"(78 + 71)"
] | {"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 + 71)", "start_line": 30, "end_line": 30, "context": "Line 30 with boxed final answer", "start_pos": 1168, "end_pos": 1... | [{"is_correct": true, "error": null, "answer_block": "(78 + 71)", "final_answer": 149.0}] | [
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true
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[
"(78 + 71)"
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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 [65, 59], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 59 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [65, 59], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5069, \"numbers\": [65, 59], \"target\": 124, \"expression\": \"65 + 59\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5069, "numbers": [65, 59], "target": 124, "expression": "65 + 59"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 65 and 59, 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
] | [
""
] | {"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
] | [
"\\( 65 + 59 - 65 = 59 \\)"
] | {"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": "\\( 65 + 59 - 65 = 59 \\)", "start_line": 77, "end_line": 77, "context": "line 77, inside <answer> tags", "start_pos": 2554... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 65 + 59 - 65 = 59 \\)", "final_answer": null}] | [
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false
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"\\( 65 + 59 - 65 = 59 \\)"
]
] | {"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": "\\( 65 + 59 - 65 = 59 \\)", "start_line": 77, "end_line": 77, "context": "line 77, insi... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 65 + 59 - 65 = 59 \\)", "final_answer": null}]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [5, 84], create an equation that equals 420. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 84*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, 84], create an equation that equals 420. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6220, \"numbers\": [5, 84], \"target\": 420, \"expression\": \"84*5\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6220, "numbers": [5, 84], "target": 420, "expression": "84*5"} | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 5 and 84 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 420. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 5 and 84.\n2. **Multiply 5 and ... | [
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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"5 \\times 84"
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"5 \\times 84"
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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": "5 \\times 84", "start_line": 18, "end_line": 18, "context": "Therefore, the answer is:"... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "5 \\times 84", "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 [92, 72], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 72 + 92 | 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 [92, 72], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5723, \"numbers\": [92, 72], \"target\": 164, \"expression\": \"72 + 92\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5723, "numbers": [92, 72], "target": 164, "expression": "72 + 92"} | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 92 and 72 from the given list, we need to find a combination of addition, subtraction, multiplication, and division that will result in 164. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get 164.\n2. **Consider possible co... | [
false
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""
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false
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"(92 \\times 8) - (736 \\div 4)"
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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": "(92 \\times 8) - (736 \\div 4)", "start_line": 51, "end_line": 51, "context": "\\boxed{... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(92 \\times 8) - (736 \\div 4)", "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 [65, 6, 38], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 65 + 6 + 38 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [65, 6, 38], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5924, \\\"numbers\\\": [65, 6, 38], \\\"target\\\": 109, \\\"expression\\\": \\\"65 + 6 + 38\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5924, \"numbers\": [65, 6, 38], \"target\": 109, \"expression\": \"65 + 6 + 38\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [65, 6, 38], we need to find a combination of addition, subtraction, multiplication, and division that will result in the target number 109. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step would be to c... | [
false
] | [
""
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true
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"65 + 6 + 38"
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[
true
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[
"65 + 6 + 38"
]
] | {"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": "65 + 6 + 38", "start_line": 60, "end_line": 60, "context": "\\boxed{65 + 6 + 38}", "sta... | [[{"is_correct": true, "error": null, "answer_block": "65 + 6 + 38", "final_answer": 109.0}]] | {
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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 [10, 93, 96], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 93 + 96 - 10 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [10, 93, 96], create an equation that equals 179. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5206, \\\"numbers\\\": [10, 93, 96], \\\"target\\\": 179, \\\"expression\\\": \\\"93 + 96 - 10\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5206, \"numbers\": [10, 93, 96], \"target\": 179, \"expression\": \"93 + 96 - 10\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 179 using the given numbers [10, 93, 96], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 179. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The larges... | [
false
] | [
""
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true
] | [
"96 - 10 + 93"
] | {"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 - 10 + 93", "start_line": 31, "end_line": 31, "context": "\\boxed{96 - 10 + 93}", "start_pos": 986, "end_pos": 1007}, "t... | [{"is_correct": true, "error": null, "answer_block": "96 - 10 + 93", "final_answer": 179.0}] | [
[
true
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[
"96 - 10 + 93"
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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 - 10 + 93", "start_line": 31, "end_line": 31, "context": "\\boxed{96 - 10 + 93}", "s... | [[{"is_correct": true, "error": null, "answer_block": "96 - 10 + 93", "final_answer": 179.0}]] | {
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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 [34, 31, 45], create an equation that equals 341. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 31*(45 - 34) | countdown_3arg | 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, 31, 45], create an equation that equals 341. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7529, \\\"numbers\\\": [34, 31, 45], \\\"target\\\": 341, \\\"expression\\\": \\\"31*(45 - 34)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7529, \"numbers\": [34, 31, 45], \"target\": 341, \"expression\": \"31*(45 - 34)\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 34, 31, and 45 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 341. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: We begin with 45 because it's th... | [
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
] | [
"No valid equation found using the given numbers and operations."
] | {"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 equation found using the given numbers and operations.", "start_line": 55, "end_line": 55, "context": "<answer> No... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found using the given numbers and operations.", "final_answer": null}] | [
[
false
]
] | [
[
"No valid equation found using the given numbers and operations."
]
] | {"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": "No valid equation found using the given numbers and operations.", "start_line": 55, "en... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found using the given numbers and operations.", "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 [55, 98, 4], create an equation that equals 612. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 4*(55 + 98) | countdown_3arg | 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, 98, 4], create an equation that equals 612. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7277, \\\"numbers\\\": [55, 98, 4], \\\"target\\\": 612, \\\"expression\\\": \\\"4*(55 + 98)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7277, \"numbers\": [55, 98, 4], \"target\": 612, \"expression\": \"4*(55 + 98)\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 612 using the given numbers [55, 98, 4], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 612. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first s... | [
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
] | [
"(98 + 55) - 4 * 4 + 55 = 612"
] | {"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": "(98 + 55) - 4 * 4 + 55 = 612", "start_line": 30, "end_line": 30, "context": "Therefore, the final equation that equals 612 ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(98 + 55) - 4 * 4 + 55 = 612", "final_answer": 612.0}] | [
[
false
]
] | [
[
"(98 + 55) - 4 * 4 + 55 = 612"
]
] | {"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": "(98 + 55) - 4 * 4 + 55 = 612", "start_line": 30, "end_line": 30, "context": "Therefore,... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(98 + 55) - 4 * 4 + 55 = 612", "final_answer": 612.0}]] | {
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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 [9, 66, 87], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 87 - 9 + 66 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [9, 66, 87], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7096, \\\"numbers\\\": [9, 66, 87], \\\"target\\\": 144, \\\"expression\\\": \\\"87 - 9 + 66\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7096, \"numbers\": [9, 66, 87], \"target\": 144, \"expression\": \"87 - 9 + 66\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [9, 66, 87], we need to find a combination of these numbers that will result in the target number 144. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 144.\n2. **Consider Possible Operations**:\n - Addit... | [
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
] | [
"(9 \\times 66) - 87"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(9 \\times 66) - 87", "start_line": 66, "end_line": 66, "context": "So, the answer is:", "start_pos": 2035, "end_pos": 2062}... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(9 \\times 66) - 87", "final_answer": null}] | [
[
false,
false
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] | [
[
"(9 \\times 66) - 87 = 144",
"(9 \\times 66) - 87"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "(9 \\times 66) - 87 = 144", "start_line": 61, "end_line": 61, "context": "Therefore, the... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(9 \\times 66) - 87 = 144", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(9 \\times 66) - 87", "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 [100, 86, 61], create an equation that equals 247. You can use basic arithmetic operations (+, -, *, /) and each number can ... | 86 + 61 + 100 | countdown_3arg | 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, 86, 61], create an equation that equals 247. You can use basic arithmetic operations (+, -, *... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6407, \\\"numbers\\\": [100, 86, 61], \\\"target\\\": 247, \\\"expression\\\": \\\"86 + 61 + 100\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, ... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6407, \"numbers\": [100, 86, 61], \"target\": 247, \"expression\": \"86 + 61 + 100\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [100, 86, 61], we need to find a combination of addition, subtraction, multiplication, and division that will result in 247. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step would be to consider how we might c... | [
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
] | [
"(100 + 86) * 61 - 22"
] | {"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 + 86) * 61 - 22", "start_line": 43, "end_line": 43, "context": "<answer> (100 + 86) * 61 - 22 </answer>", "start_pos":... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(100 + 86) * 61 - 22", "final_answer": 247.0}] | [
[
false
]
] | [
[
"(100 + 86) * 61 - 22"
]
] | {"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 + 86) * 61 - 22", "start_line": 43, "end_line": 43, "context": "<answer> (100 + 86... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(100 + 86) * 61 - 22", "final_answer": 247.0}]] | {
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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 [22, 34, 21], create an equation that equals 736. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 21*34 + 22 | countdown_3arg | 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, 34, 21], create an equation that equals 736. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5849, \\\"numbers\\\": [22, 34, 21], \\\"target\\\": 736, \\\"expression\\\": \\\"21*34 + 22\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5849, \"numbers\": [22, 34, 21], \"target\": 736, \"expression\": \"21*34 + 22\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 736 using the given numbers [22, 34, 21], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 736. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
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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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 [15, 37, 38], create an equation that equals 851. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 37*(38 - 15) | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [15, 37, 38], create an equation that equals 851. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9767, \\\"numbers\\\": [15, 37, 38], \\\"target\\\": 851, \\\"expression\\\": \\\"37*(38 - 15)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9767, \"numbers\": [15, 37, 38], \"target\": 851, \"expression\": \"37*(38 - 15)\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 851 using the given numbers [15, 37, 38], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 851. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The number... | [
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
] | [
"(38 \\times 22) - 836 + 15"
] | {"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 \\times 22) - 836 + 15", "start_line": 30, "end_line": 30, "context": "Line 30 with boxed final equation", "start_pos":... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(38 \\times 22) - 836 + 15", "final_answer": null}] | [
[
false
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] | [
[
"(38 \\times 22) - 836 + 15"
]
] | {"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 22) - 836 + 15", "start_line": 30, "end_line": 30, "context": "Line 30 with... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(38 \\times 22) - 836 + 15", "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 [5, 48, 66], create an equation that equals 282. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 66*5 - 48 | countdown_3arg | 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, 48, 66], create an equation that equals 282. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5721, \\\"numbers\\\": [5, 48, 66], \\\"target\\\": 282, \\\"expression\\\": \\\"66*5 - 48\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "promp... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5721, \"numbers\": [5, 48, 66], \"target\": 282, \"expression\": \"66*5 - 48\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 282 using the given numbers [5, 48, 66], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 282. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first s... | [
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
] | [
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 [93, 29, 84], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 93 - 29 + 84 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [93, 29, 84], create an equation that equals 148. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8746, \\\"numbers\\\": [93, 29, 84], \\\"target\\\": 148, \\\"expression\\\": \\\"93 - 29 + 84\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8746, \"numbers\": [93, 29, 84], \"target\": 148, \"expression\": \"93 - 29 + 84\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [93, 29, 84], we need to find a combination of addition, subtraction, multiplication, and division that will result in 148. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step would be to consider the largest num... | [
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
] | [
"\\boxed{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": "\\boxed{148}", "start_line": 173, "end_line": 173, "context": "The final answer is:", "start_pos": 2603, "end_pos": 2614}, ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\boxed{148}", "final_answer": null}] | [
[
false
]
] | [
[
"\\boxed{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": "\\boxed{148}", "start_line": 173, "end_line": 173, "context": "The final answer is:", "... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\boxed{148}", "final_answer": null}]] | {
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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 [26, 91, 92], create an equation that equals 322. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 92*91/26 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [26, 91, 92], create an equation that equals 322. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5262, \\\"numbers\\\": [26, 91, 92], \\\"target\\\": 322, \\\"expression\\\": \\\"92*91/26\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "promp... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5262, \"numbers\": [26, 91, 92], \"target\": 322, \"expression\": \"92*91/26\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 322 using the given numbers [26, 91, 92], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 322. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target is... | [
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
] | [
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": []} | [[]] | {
"flips_by": [
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 [13, 80, 43], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 43 + 80 - 13 | countdown_3arg | 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, 80, 43], create an equation that equals 110. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5246, \\\"numbers\\\": [13, 80, 43], \\\"target\\\": 110, \\\"expression\\\": \\\"43 + 80 - 13\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5246, \"numbers\": [13, 80, 43], \"target\": 110, \"expression\": \"43 + 80 - 13\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [13, 80, 43], we need to find a combination of these numbers that will result in the target number 110. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 110.\n2. **Consider Multiplication and Addition**:\n - We ... | [
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
] | [
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": []} | [[]] | {
"flips_by": [
0
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"percent_correct": 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 [56, 83, 53], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 83 + 56 + 53 | countdown_3arg | 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, 83, 53], create an equation that equals 192. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5777, \\\"numbers\\\": [56, 83, 53], \\\"target\\\": 192, \\\"expression\\\": \\\"83 + 56 + 53\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5777, \"numbers\": [56, 83, 53], \"target\": 192, \"expression\": \"83 + 56 + 53\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 192 using the given numbers [56, 83, 53], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 192. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
"Not Possible"
] | {"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": "Not Possible", "start_line": 27, "end_line": 27, "context": "<answer>\nNot Possible\n</answer>", "start_pos": 1573, "end_po... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}] | [
[
false
]
] | [
[
"Not Possible"
]
] | {"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": "Not Possible", "start_line": 27, "end_line": 27, "context": "<answer>\nNot Possible\n</... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not Possible", "final_answer": null}]] | {
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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 [3, 73, 64], create an equation that equals 283. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 3*73 + 64 | countdown_3arg | 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, 73, 64], create an equation that equals 283. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7059, \\\"numbers\\\": [3, 73, 64], \\\"target\\\": 283, \\\"expression\\\": \\\"3*73 + 64\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "promp... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7059, \"numbers\": [3, 73, 64], \"target\": 283, \"expression\": \"3*73 + 64\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 283 using the given numbers [3, 73, 64], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 283. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first s... | [
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
] | [
"No valid combination found"
] | {"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 combination found", "start_line": 53, "end_line": 53, "context": "<answer> No valid combination found </answer>", ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid combination found", "final_answer": null}] | [
[
false
]
] | [
[
"No valid combination found"
]
] | {"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": "No valid combination found", "start_line": 53, "end_line": 53, "context": "<answer> No ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid combination found", "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 [90, 8, 32], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 90 + 8 + 32 | countdown_3arg | 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, 8, 32], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7174, \\\"numbers\\\": [90, 8, 32], \\\"target\\\": 130, \\\"expression\\\": \\\"90 + 8 + 32\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7174, \"numbers\": [90, 8, 32], \"target\": 130, \"expression\": \"90 + 8 + 32\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [90, 8, 32], we need to find a combination of addition, subtraction, multiplication, and division that will result in 130. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step would be to consider how we can use t... | [
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
] | [
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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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 [26, 38, 44], create an equation that equals 684. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 38*(44 - 26) | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [26, 38, 44], create an equation that equals 684. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9436, \\\"numbers\\\": [26, 38, 44], \\\"target\\\": 684, \\\"expression\\\": \\\"38*(44 - 26)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9436, \"numbers\": [26, 38, 44], \"target\": 684, \"expression\": \"38*(44 - 26)\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 684 using the given numbers [26, 38, 44], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 684. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target is... | [
false
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""
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false
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"65 \\times 26"
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[
"65 \\times 26"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [58, 25, 84], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 84 + 58 - 25 | countdown_3arg | 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, 25, 84], create an equation that equals 117. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5219, \\\"numbers\\\": [58, 25, 84], \\\"target\\\": 117, \\\"expression\\\": \\\"84 + 58 - 25\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5219, \"numbers\": [58, 25, 84], \"target\": 117, \"expression\": \"84 + 58 - 25\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [58, 25, 84], we need to find a combination of addition, subtraction, multiplication, and division that will result in 117. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 117.\n2. **Consider Possible Oper... | [
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
] | [
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 [70, 42, 57], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 70 + 57 + 42 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [70, 42, 57], create an equation that equals 169. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9899, \\\"numbers\\\": [70, 42, 57], \\\"target\\\": 169, \\\"expression\\\": \\\"70 + 57 + 42\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9899, \"numbers\": [70, 42, 57], \"target\": 169, \"expression\": \"70 + 57 + 42\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 169 using the given numbers [70, 42, 57], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 169. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
false
] | [
""
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false
] | [
"(70 + 42) - 57 + 114"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(70 + 42) - 57 + 114", "start_line": 48, "end_line": 48, "context": "<answer> (70 + 42) - 57 + 114 </answer>", "start_pos":... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(70 + 42) - 57 + 114", "final_answer": 169.0}] | [
[
false
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] | [
[
"(70 + 42) - 57 + 114"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(70 + 42) - 57 + 114", "start_line": 48, "end_line": 48, "context": "<answer> (70 + 42)... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(70 + 42) - 57 + 114", "final_answer": 169.0}]] | {
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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 [60, 54, 34], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 34*(60 - 54) | countdown_3arg | 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, 54, 34], create an equation that equals 204. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6896, \\\"numbers\\\": [60, 54, 34], \\\"target\\\": 204, \\\"expression\\\": \\\"34*(60 - 54)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6896, \"numbers\": [60, 54, 34], \"target\": 204, \"expression\": \"34*(60 - 54)\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [60, 54, 34], we need to find a combination of addition, subtraction, multiplication, and division that will result in 204. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step would be to consider how we can maxi... | [
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 + 54) * 2.5 + 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": "(60 + 54) * 2.5 + 4", "start_line": 29, "end_line": 29, "context": "\\boxed{(60 + 54) * 2.5 + 4}", "start_pos": 1124, "end_... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(60 + 54) * 2.5 + 4", "final_answer": 204.0}] | [
[
false
]
] | [
[
"(60 + 54) * 2.5 + 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, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(60 + 54) * 2.5 + 4", "start_line": 29, "end_line": 29, "context": "\\boxed{(60 + 54) *... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(60 + 54) * 2.5 + 4", "final_answer": 204.0}]] | {
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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 [28, 3, 94], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 94 + 3 + 28 | countdown_3arg | 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, 3, 94], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9764, \\\"numbers\\\": [28, 3, 94], \\\"target\\\": 125, \\\"expression\\\": \\\"94 + 3 + 28\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9764, \"numbers\": [28, 3, 94], \"target\": 125, \"expression\": \"94 + 3 + 28\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [28, 3, 94], we need to find a combination of these numbers that will result in the target number 125 when combined with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 125.\n2. **Con... | [
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
] | [
"(28 \\times 3) + 94 - 60 + 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": "(28 \\times 3) + 94 - 60 + 7", "start_line": 45, "end_line": 45, "context": "Therefore, the answer is:", "start_pos": 1482,... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(28 \\times 3) + 94 - 60 + 7", "final_answer": null}] | [
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] | [
[
"(28 \\times 3) + 94 - 60 + 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": "(28 \\times 3) + 94 - 60 + 7", "start_line": 45, "end_line": 45, "context": "Therefore,... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(28 \\times 3) + 94 - 60 + 7", "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 [40, 72, 22], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 22 + 72 + 40 | countdown_3arg | 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 [40, 72, 22], create an equation that equals 134. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8725, \\\"numbers\\\": [40, 72, 22], \\\"target\\\": 134, \\\"expression\\\": \\\"22 + 72 + 40\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8725, \"numbers\": [40, 72, 22], \"target\": 134, \"expression\": \"22 + 72 + 40\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 134 using the given numbers [40, 72, 22], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 134. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
false
] | [
""
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false
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"(40 * 2) + 54 - 10 = 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": "(40 * 2) + 54 - 10 = 134", "start_line": 43, "end_line": 43, "context": "Therefore, the final equation is:", "start_pos": 1... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(40 * 2) + 54 - 10 = 134", "final_answer": 134.0}] | [
[
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[
"(40 * 2) + 54 - 10 = 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": "(40 * 2) + 54 - 10 = 134", "start_line": 43, "end_line": 43, "context": "Therefore, the... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(40 * 2) + 54 - 10 = 134", "final_answer": 134.0}]] | {
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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 [25, 45, 35], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 25 + 35 + 45 | countdown_3arg | 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 [25, 45, 35], create an equation that equals 105. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7073, \\\"numbers\\\": [25, 45, 35], \\\"target\\\": 105, \\\"expression\\\": \\\"25 + 35 + 45\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7073, \"numbers\": [25, 45, 35], \"target\": 105, \"expression\": \"25 + 35 + 45\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [25, 45, 35] and creating an equation that equals 105, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 105. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: ... | [
false
] | [
""
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false
] | [
"(45 - 35) + 25 + 70"
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[
false
]
] | [
[
"(45 - 35) + 25 + 70"
]
] | {"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": "(45 - 35) + 25 + 70", "start_line": 36, "end_line": 36, "context": "\\boxed{(45 - 35) +... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(45 - 35) + 25 + 70", "final_answer": 105.0}]] | {
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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 [48, 97, 61], create an equation that equals 206. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 48 + 61 + 97 | countdown_3arg | 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 [48, 97, 61], create an equation that equals 206. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8971, \\\"numbers\\\": [48, 97, 61], \\\"target\\\": 206, \\\"expression\\\": \\\"48 + 61 + 97\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8971, \"numbers\": [48, 97, 61], \"target\": 206, \"expression\": \"48 + 61 + 97\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 206 using the given numbers [48, 97, 61], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 206. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
false
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""
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false
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"97 + 61 - 48"
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[
false
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[
"97 + 61 - 48"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "97 + 61 - 48", "start_line": 22, "end_line": 22, "context": "\\boxed{97 + 61 - 48}", "s... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "97 + 61 - 48", "final_answer": 206.0}]] | {
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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 [86, 88, 29], create an equation that equals 203. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 86 + 88 + 29 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [86, 88, 29], create an equation that equals 203. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7555, \\\"numbers\\\": [86, 88, 29], \\\"target\\\": 203, \\\"expression\\\": \\\"86 + 88 + 29\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7555, \"numbers\": [86, 88, 29], \"target\": 203, \"expression\": \"86 + 88 + 29\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [86, 88, 29] and creating an equation that equals 203, we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to form an equation that equals 203.\n2. **Consider possible combinations**: Since we have three numbers (86, 88, 29)... | [
false
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""
] | {"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
] | [
"(86 + 88) - 29"
] | {"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": "(86 + 88) - 29", "start_line": 60, "end_line": 60, "context": "\\boxed{(86 + 88) - 29}", "start_pos": 1861, "end_pos": 1884... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(86 + 88) - 29", "final_answer": 203.0}] | [
[
false
]
] | [
[
"(86 + 88) - 29"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(86 + 88) - 29", "start_line": 60, "end_line": 60, "context": "\\boxed{(86 + 88) - 29}"... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(86 + 88) - 29", "final_answer": 203.0}]] | {
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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 [4, 100, 89], create an equation that equals 256. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 89*4 - 100 | countdown_3arg | 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 [4, 100, 89], create an equation that equals 256. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5054, \\\"numbers\\\": [4, 100, 89], \\\"target\\\": 256, \\\"expression\\\": \\\"89*4 - 100\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5054, \"numbers\": [4, 100, 89], \"target\": 256, \"expression\": \"89*4 - 100\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [4, 100, 89], we need to find an equation that equals 256. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the result 256.\n \n2. **Consider possible combinations**:\n - Start with multiplication because mu... | [
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 * 4) + 89 + 6"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(100 * 4) + 89 + 6", "start_line": 51, "end_line": 51, "context": "So, the final answer is:", "start_pos": 1829, "end_pos": ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(100 * 4) + 89 + 6", "final_answer": 256.0}] | [
[
false,
false
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] | [
[
"(100 * 4) + 89 + 6",
"(100 * 4) + 89 + 6"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "(100 * 4) + 89 + 6", "start_line": 47, "end_line": 47, "context": "equation that equals ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(100 * 4) + 89 + 6", "final_answer": 256.0}, {"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(100 * 4) + 89 + 6", "final_answer": 256.0}]] | {
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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 [40, 85, 91], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 91 + 85 - 40 | countdown_3arg | 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 [40, 85, 91], create an equation that equals 136. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6574, \\\"numbers\\\": [40, 85, 91], \\\"target\\\": 136, \\\"expression\\\": \\\"91 + 85 - 40\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6574, \"numbers\": [40, 85, 91], \"target\": 136, \"expression\": \"91 + 85 - 40\"}" | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [40, 85, 91] that equals 136, we need to find a combination of these numbers through 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 achieve th... | [
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
] | [
"\\( (91 - 85) + 40 - 40 + 91 - 1 \\)"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "\\( (91 - 85) + 40 - 40 + 91 - 1 \\)", "start_line": 65, "end_line": 65, "context": "final answer is:", "start_pos": 1610, ... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (91 - 85) + 40 - 40 + 91 - 1 \\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\( (91 - 85) + 40 - 40 + 91 - 1 \\)"
]
] | {"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 - 85) + 40 - 40 + 91 - 1 \\)", "start_line": 65, "end_line": 65, "context": "fi... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (91 - 85) + 40 - 40 + 91 - 1 \\)", "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 [45, 60, 6], create an equation that equals 330. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 6*45 + 60 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 60, 6], create an equation that equals 330. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8752, \\\"numbers\\\": [45, 60, 6], \\\"target\\\": 330, \\\"expression\\\": \\\"6*45 + 60\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "promp... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8752, \"numbers\": [45, 60, 6], \"target\": 330, \"expression\": \"6*45 + 60\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 45, 60, and 6 exactly once to get the result 330 using basic arithmetic operations (addition, subtraction, multiplication, division). Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 60 and 6**:\n \\[\n 60 \\times 6 = 360\n \\]\n\n2... | [
false
] | [
""
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false
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"(60 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330"
] | {"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 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330", "start_line": 58, "end_line": 58, "context": "final equa... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(60 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330", "final_answer": null}] | [
[
false
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] | [
[
"(60 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330"
]
] | {"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 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330", "start_line": 58, "e... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(60 \\times 6 - 45 + 5) \\div 10 - 10 + 110 - 98 + 26 - 60 + 330", "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 [67, 92, 56], create an equation that equals 215. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 67 + 56 + 92 | countdown_3arg | 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 [67, 92, 56], create an equation that equals 215. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8071, \\\"numbers\\\": [67, 92, 56], \\\"target\\\": 215, \\\"expression\\\": \\\"67 + 56 + 92\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8071, \"numbers\": [67, 92, 56], \"target\": 215, \"expression\": \"67 + 56 + 92\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 215 using the given numbers [67, 92, 56], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 215. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
false
] | [
""
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false
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null
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[]
] | [
[]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 0, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 0, "internal_spans_detailed": [], "span_positions": []} | [[]] | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [13, 79, 42], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 42 - 13 + 79 | countdown_3arg | 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, 79, 42], create an equation that equals 108. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7553, \\\"numbers\\\": [13, 79, 42], \\\"target\\\": 108, \\\"expression\\\": \\\"42 - 13 + 79\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7553, \"numbers\": [13, 79, 42], \"target\": 108, \"expression\": \"42 - 13 + 79\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 108 using the given numbers [13, 79, 42], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 108. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
false
] | [
""
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true
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"(79 + 42) - 13"
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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 [73, 67, 43], create an equation that equals 183. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 43 + 67 + 73 | countdown_3arg | 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, 67, 43], create an equation that equals 183. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6539, \\\"numbers\\\": [73, 67, 43], \\\"target\\\": 183, \\\"expression\\\": \\\"43 + 67 + 73\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6539, \"numbers\": [73, 67, 43], \"target\": 183, \"expression\": \"43 + 67 + 73\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 73, 67, and 43 exactly once to get the result 183 using basic arithmetic operations (addition, subtraction, multiplication, division). Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first step will involve mu... | [
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
] | [
"(73 \\times 67) - 43 + 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": "(73 \\times 67) - 43 + 43", "start_line": 40, "end_line": 40, "context": "The final answer is:", "start_pos": 1071, "end_po... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(73 \\times 67) - 43 + 43", "final_answer": null}] | [
[
false
]
] | [
[
"(73 \\times 67) - 43 + 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": "(73 \\times 67) - 43 + 43", "start_line": 40, "end_line": 40, "context": "The final ans... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(73 \\times 67) - 43 + 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 [20, 87, 16], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 87 + 20 + 16 | countdown_3arg | 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, 87, 16], create an equation that equals 123. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7031, \\\"numbers\\\": [20, 87, 16], \\\"target\\\": 123, \\\"expression\\\": \\\"87 + 20 + 16\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7031, \"numbers\": [20, 87, 16], \"target\": 123, \"expression\": \"87 + 20 + 16\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 20, 87, and 16 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. **Start with the given numbers**: We have 20, 87, and 16.\n2. **Mul... | [
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
] | [
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 [17, 76, 45], create an equation that equals 841. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 45*17 + 76 | countdown_3arg | 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, 76, 45], create an equation that equals 841. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8041, \\\"numbers\\\": [17, 76, 45], \\\"target\\\": 841, \\\"expression\\\": \\\"45*17 + 76\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8041, \"numbers\": [17, 76, 45], \"target\": 841, \"expression\": \"45*17 + 76\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 841 using the given numbers [17, 76, 45], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 841. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
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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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 [11, 99, 83], create an equation that equals 193. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 83 + 99 + 11 | countdown_3arg | 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, 99, 83], create an equation that equals 193. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5847, \\\"numbers\\\": [11, 99, 83], \\\"target\\\": 193, \\\"expression\\\": \\\"83 + 99 + 11\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5847, \"numbers\": [11, 99, 83], \"target\": 193, \"expression\": \"83 + 99 + 11\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 193 using the given numbers [11, 99, 83], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 193. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The larges... | [
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 * 2) - 11"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(99 * 2) - 11", "start_line": 46, "end_line": 46, "context": "line 46, final proposed equation", "start_pos": 2220, "end_po... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(99 * 2) - 11", "final_answer": 193.0}] | [
[
false
]
] | [
[
"(99 * 2) - 11"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(99 * 2) - 11", "start_line": 46, "end_line": 46, "context": "line 46, final proposed e... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(99 * 2) - 11", "final_answer": 193.0}]] | {
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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 [22, 14, 21], create an equation that equals 316. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 21*14 + 22 | countdown_3arg | 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, 14, 21], create an equation that equals 316. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5769, \\\"numbers\\\": [22, 14, 21], \\\"target\\\": 316, \\\"expression\\\": \\\"21*14 + 22\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5769, \"numbers\": [22, 14, 21], \"target\": 316, \"expression\": \"21*14 + 22\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 316 using the given numbers [22, 14, 21], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 316. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
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": []} | [[]] | {
"flips_by": [
0
],
"flips_total": 0,
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"reflection_sbon": [
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 [24, 79, 46], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 24 + 79 + 46 | countdown_3arg | 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 [24, 79, 46], create an equation that equals 149. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8400, \\\"numbers\\\": [24, 79, 46], \\\"target\\\": 149, \\\"expression\\\": \\\"24 + 79 + 46\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8400, \"numbers\": [24, 79, 46], \"target\": 149, \"expression\": \"24 + 79 + 46\"}" | null | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [24, 79, 46] that equals 149, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 149. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the su... | [
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
] | [
"(79 - 24) + 46 - 24 + 46"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(79 - 24) + 46 - 24 + 46", "start_line": 51, "end_line": 51, "context": "So, the final answer is:", "start_pos": 1339, "end... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(79 - 24) + 46 - 24 + 46", "final_answer": 149.0}] | [
[
false
]
] | [
[
"(79 - 24) + 46 - 24 + 46"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(79 - 24) + 46 - 24 + 46", "start_line": 51, "end_line": 51, "context": "So, the final ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(79 - 24) + 46 - 24 + 46", "final_answer": 149.0}]] | {
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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 [63, 73, 33], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 63 - 33 + 73 | countdown_3arg | 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, 73, 33], create an equation that equals 103. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5802, \\\"numbers\\\": [63, 73, 33], \\\"target\\\": 103, \\\"expression\\\": \\\"63 - 33 + 73\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5802, \"numbers\": [63, 73, 33], \"target\": 103, \"expression\": \"63 - 33 + 73\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [63, 73, 33], we need to find a combination of these numbers that will result in the target number 103 when combined with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 103.\n2. **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
] | [
"(63 \\times 73) - 103"
] | {"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": "(63 \\times 73) - 103", "start_line": 103, "end_line": 103, "context": "The final answer is:", "start_pos": 2694, "end_pos"... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(63 \\times 73) - 103", "final_answer": null}] | [
[
false
]
] | [
[
"(63 \\times 73) - 103"
]
] | {"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": "(63 \\times 73) - 103", "start_line": 103, "end_line": 103, "context": "The final answe... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(63 \\times 73) - 103", "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 [56, 76, 96], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 76 + 96 - 56 | countdown_3arg | 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, 76, 96], create an equation that equals 116. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8225, \\\"numbers\\\": [56, 76, 96], \\\"target\\\": 116, \\\"expression\\\": \\\"76 + 96 - 56\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8225, \"numbers\": [56, 76, 96], \"target\": 116, \"expression\": \"76 + 96 - 56\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [56, 76, 96], we need to find a combination of these numbers that will result in the target number 116 when combined with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 116.\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
] | [
"(56 + 96) - 76 + 40"
] | {"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 + 96) - 76 + 40", "start_line": 56, "end_line": 57, "context": "So, the final answer is:", "start_pos": 1681, "end_pos"... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(56 + 96) - 76 + 40", "final_answer": 116.0}] | [
[
false
]
] | [
[
"(56 + 96) - 76 + 40"
]
] | {"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 + 96) - 76 + 40", "start_line": 56, "end_line": 57, "context": "So, the final answe... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(56 + 96) - 76 + 40", "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 [10, 82, 1], create an equation that equals 820. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 10*82/1 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [10, 82, 1], create an equation that equals 820. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8101, \\\"numbers\\\": [10, 82, 1], \\\"target\\\": 820, \\\"expression\\\": \\\"10*82/1\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "prompt_... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8101, \"numbers\": [10, 82, 1], \"target\": 820, \"expression\": \"10*82/1\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 10, 82, and 1 exactly once to form an equation that equals 820. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have three numbers: 10, 82, and 1.\n2. **Multiply 10 and 82**:\n \\[\n 10 \\times 82 = 820\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
] | [
"\\(10 \\times 82 = 820\\)"
] | {"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": "\\(10 \\times 82 = 820\\)", "start_line": 22, "end_line": 22, "context": "<answer> \\(10 \\times 82 = 820\\) </answer>", "s... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(10 \\times 82 = 820\\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\(10 \\times 82 = 820\\)"
]
] | {"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": "\\(10 \\times 82 = 820\\)", "start_line": 22, "end_line": 22, "context": "<answer> \\(1... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(10 \\times 82 = 820\\)", "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 [7, 10, 90], create an equation that equals 620. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 7*90 - 10 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [7, 10, 90], create an equation that equals 620. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7440, \\\"numbers\\\": [7, 10, 90], \\\"target\\\": 620, \\\"expression\\\": \\\"7*90 - 10\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "promp... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7440, \"numbers\": [7, 10, 90], \"target\": 620, \"expression\": \"7*90 - 10\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 620 using the given numbers [7, 10, 90], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 620. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The number ... | [
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
] | [
"(90 \\times 6) + 80"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(90 \\times 6) + 80", "start_line": 26, "end_line": 26, "context": "Line 26 with boxed final answer", "start_pos": 788, "en... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(90 \\times 6) + 80", "final_answer": null}] | [
[
false
]
] | [
[
"(90 \\times 6) + 80"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 1, "extraction_method": "llm_judge", "is_final_of_multiple": false, "question_context": true, "empty_response": false, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(90 \\times 6) + 80", "start_line": 26, "end_line": 26, "context": "Line 26 with boxed ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(90 \\times 6) + 80", "final_answer": null}]] | {
"flips_by": [
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 [15, 42, 9], create an equation that equals 513. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 9*(42 + 15) | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [15, 42, 9], create an equation that equals 513. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5358, \\\"numbers\\\": [15, 42, 9], \\\"target\\\": 513, \\\"expression\\\": \\\"9*(42 + 15)\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5358, \"numbers\": [15, 42, 9], \"target\": 513, \"expression\": \"9*(42 + 15)\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 513 using the given numbers [15, 42, 9], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 513. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first s... | [
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
] | [
"(42 + 15) * 9 = 513"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(42 + 15) * 9 = 513", "start_line": 22, "end_line": 23, "context": "Therefore, the final equation is:", "start_pos": 871, "e... | [{"is_correct": true, "error": null, "answer_block": "(42 + 15) * 9 = 513", "final_answer": 513.0}] | [
[
false,
true
]
] | [
[
"Step 1: Add 15 to 42.\nStep 2: Multiply the result from Step 1 by 9.",
"(42 + 15) * 9 = 513"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "Step 1: Add 15 to 42.\nStep 2: Multiply the result from Step 1 by 9.", "start_line": 16,... | [[{"is_correct": false, "error": "Error evaluating final answer", "answer_block": "Step 1: Add 15 to 42.\nStep 2: Multiply the result from Step 1 by 9.", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(42 + 15) * 9 = 513", "final_answer": 513.0}]] | {
"flips_by": [
0
],
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"num_correct": 1,
"pass_at_n": null,
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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 [66, 58, 11], create an equation that equals 572. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 11*58 - 66 | countdown_3arg | 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, 58, 11], create an equation that equals 572. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9057, \\\"numbers\\\": [66, 58, 11], \\\"target\\\": 572, \\\"expression\\\": \\\"11*58 - 66\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9057, \"numbers\": [66, 58, 11], \"target\": 572, \"expression\": \"11*58 - 66\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 572 using the given numbers [66, 58, 11], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 572. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
"(66 * 6) + 58 - 11 + 11 - 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": "(66 * 6) + 58 - 11 + 11 - 17", "start_line": 44, "end_line": 44, "context": "\\boxed{(66 * 6) + 58 - 11 + 11 - 17}", "start... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 * 6) + 58 - 11 + 11 - 17", "final_answer": 572.0}] | [
[
false
]
] | [
[
"(66 * 6) + 58 - 11 + 11 - 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": "(66 * 6) + 58 - 11 + 11 - 17", "start_line": 44, "end_line": 44, "context": "\\boxed{(6... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 * 6) + 58 - 11 + 11 - 17", "final_answer": 572.0}]] | {
"flips_by": [
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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, 100, 60], create an equation that equals 300. You can use basic arithmetic operations (+, -, *, /) and each number can ... | 60*100/20 | countdown_3arg | 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, 100, 60], create an equation that equals 300. You can use basic arithmetic operations (+, -, *... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9692, \\\"numbers\\\": [20, 100, 60], \\\"target\\\": 300, \\\"expression\\\": \\\"60*100/20\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9692, \"numbers\": [20, 100, 60], \"target\": 300, \"expression\": \"60*100/20\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [20, 100, 60], we need to find an equation that equals 300. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to achieve the result of 300.\n2. **Consider possible combinations**: Since we have three numbers (20, 100, 60), ... | [
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
] | [
"(100 \\times 3) = 300"
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "final_span_info": {"answer": "(100 \\times 3) = 300", "start_line": 26, "end_line": 26, "context": "(100 \\times 3) = 300", "start_pos": 851, "end_pos": 8... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(100 \\times 3) = 300", "final_answer": null}] | [
[
false,
false
]
] | [
[
"100 \\times 3",
"(100 \\times 3) = 300"
]
] | {"judge_model": "gpt-4.1-mini", "total_spans": 2, "extraction_method": "llm_judge", "is_final_of_multiple": true, "question_context": true, "empty_response": false, "total_internal_spans": 2, "internal_spans_detailed": [{"answer": "100 \\times 3", "start_line": 20, "end_line": 20, "context": "\\boxed{100 \\times 3}", "... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "100 \\times 3", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(100 \\times 3) = 300", "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 [98, 94, 60], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 98 + 94 - 60 | countdown_3arg | 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, 94, 60], create an equation that equals 132. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6285, \\\"numbers\\\": [98, 94, 60], \\\"target\\\": 132, \\\"expression\\\": \\\"98 + 94 - 60\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6285, \"numbers\": [98, 94, 60], \"target\": 132, \"expression\": \"98 + 94 - 60\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 132 using the given numbers [98, 94, 60], 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. **Start with the largest number**: The first ... | [
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
] | [
"(98 + 94) - 60"
] | {"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": "(98 + 94) - 60", "start_line": 24, "end_line": 24, "context": "\\boxed{(98 + 94) - 60}", "start_pos": 970, "end_pos": 993},... | [{"is_correct": true, "error": null, "answer_block": "(98 + 94) - 60", "final_answer": 132.0}] | [
[
true
]
] | [
[
"(98 + 94) - 60"
]
] | {"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": "(98 + 94) - 60", "start_line": 24, "end_line": 24, "context": "\\boxed{(98 + 94) - 60}"... | [[{"is_correct": true, "error": null, "answer_block": "(98 + 94) - 60", "final_answer": 132.0}]] | {
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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 [34, 99, 54], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 54 + 99 - 34 | countdown_3arg | 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, 99, 54], create an equation that equals 119. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8388, \\\"numbers\\\": [34, 99, 54], \\\"target\\\": 119, \\\"expression\\\": \\\"54 + 99 - 34\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8388, \"numbers\": [34, 99, 54], \"target\": 119, \"expression\": \"54 + 99 - 34\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [34, 99, 54], we need to find a combination of these numbers that will result in the target number 119 when combined with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target number is 119.\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
] | [
"119"
] | {"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": "119", "start_line": 66, "end_line": 66, "context": "\\boxed{119}", "start_pos": 2027, "end_pos": 2039}, "total_spans_found"... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "119", "final_answer": 119.0}] | [
[
false
]
] | [
[
"119"
]
] | {"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": "119", "start_line": 66, "end_line": 66, "context": "\\boxed{119}", "start_pos": 2027, "... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "119", "final_answer": 119.0}]] | {
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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 [61, 87, 90], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 90 + 87 - 61 | countdown_3arg | 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, 87, 90], create an equation that equals 116. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 5653, \\\"numbers\\\": [61, 87, 90], \\\"target\\\": 116, \\\"expression\\\": \\\"90 + 87 - 61\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 5653, \"numbers\": [61, 87, 90], \"target\": 116, \"expression\": \"90 + 87 - 61\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [61, 87, 90], we need to find a combination of these numbers that adds up to 116 when combined with some basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to make 116 using the given numbers.\n2. **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
] | [
"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": "116", "start_line": 92, "end_line": 92, "context": "\\boxed{116}", "start_pos": 3237, "end_pos": 3248}, "total_spans_found"... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "116", "final_answer": 116.0}] | [
[
false
]
] | [
[
"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": "116", "start_line": 92, "end_line": 92, "context": "\\boxed{116}", "start_pos": 3237, "... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "116", "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 [80, 91, 38], create an equation that equals 209. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 80 + 91 + 38 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 91, 38], create an equation that equals 209. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 9823, \\\"numbers\\\": [80, 91, 38], \\\"target\\\": 209, \\\"expression\\\": \\\"80 + 91 + 38\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 9823, \"numbers\": [80, 91, 38], \"target\": 209, \"expression\": \"80 + 91 + 38\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [80, 91, 38] and creating an equation that equals 209, we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to form an equation that equals 209.\n2. **Consider possible combinations**: Since we have three numbers (80, 91, 38)... | [
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
] | [
"\\( (80 + 91) - 38 \\)"
] | {"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": "\\( (80 + 91) - 38 \\)", "start_line": 22, "end_line": 22, "context": "<answer> \\( (80 + 91) - 38 \\) </answer>", "start_p... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (80 + 91) - 38 \\)", "final_answer": null}] | [
[
false
]
] | [
[
"\\( (80 + 91) - 38 \\)"
]
] | {"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": "\\( (80 + 91) - 38 \\)", "start_line": 22, "end_line": 22, "context": "<answer> \\( (80... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (80 + 91) - 38 \\)", "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 [19, 50, 47], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 50 + 47 + 19 | countdown_3arg | 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, 50, 47], create an equation that equals 116. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 7680, \\\"numbers\\\": [19, 50, 47], \\\"target\\\": 116, \\\"expression\\\": \\\"50 + 47 + 19\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "p... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 7680, \"numbers\": [19, 50, 47], \"target\": 116, \"expression\": \"50 + 47 + 19\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 116 using the given numbers [19, 50, 47], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 116. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number**: The first ... | [
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
] | [
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": []} | [[]] | {
"flips_by": [
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 [45, 23, 13], create an equation that equals 254. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 23*13 - 45 | countdown_3arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 23, 13], create an equation that equals 254. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 8247, \\\"numbers\\\": [45, 23, 13], \\\"target\\\": 254, \\\"expression\\\": \\\"23*13 - 45\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 8247, \"numbers\": [45, 23, 13], \"target\": 254, \"expression\": \"23*13 - 45\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 45, 23, and 13 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 254. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the largest number (45)**:\n - We'll begin by adding... | [
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
] | [
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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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 [28, 89, 16], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 16 + 28 + 89 | countdown_3arg | 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, 89, 16], create an equation that equals 133. You can use basic arithmetic operations (+, -, *,... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 10032, \\\"numbers\\\": [28, 89, 16], \\\"target\\\": 133, \\\"expression\\\": \\\"16 + 28 + 89\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 10032, \"numbers\": [28, 89, 16], \"target\": 133, \"expression\": \"16 + 28 + 89\"}" | null | null | null | null | null | null | null | null | [
"To solve for the target number 133 using the given numbers [28, 89, 16], we need to find a combination of these numbers through 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 largest number**: The larges... | [
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
] | [
"(89 - 16) + 56 + 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": "(89 - 16) + 56 + 4", "start_line": 43, "end_line": 43, "context": "\\boxed{(89 - 16) + 56 + 4}", "start_pos": 1469, "end_po... | [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(89 - 16) + 56 + 4", "final_answer": 133.0}] | [
[
false
]
] | [
[
"(89 - 16) + 56 + 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, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(89 - 16) + 56 + 4", "start_line": 43, "end_line": 43, "context": "\\boxed{(89 - 16) + ... | [[{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(89 - 16) + 56 + 4", "final_answer": 133.0}]] | {
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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 [31, 75, 4], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 75 - 4 + 31 | countdown_3arg | 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 [31, 75, 4], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, ... | [] | [] | {"metadata": "\"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 6843, \\\"numbers\\\": [31, 75, 4], \\\"target\\\": 102, \\\"expression\\\": \\\"75 - 4 + 31\\\"}\"", "task_source": "countdown", "task_config": "countdown_3arg", "choices": null, "answer_key": null, "answer_index": null, "id": null, "pro... | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 6843, \"numbers\": [31, 75, 4], \"target\": 102, \"expression\": \"75 - 4 + 31\"}" | null | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [31, 75, 4], we need to find a combination of these numbers that will result in the target number 102 when combined with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: The target number is 102.\n2. **Con... | [
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
] | [
"(75 + 31) - 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": "(75 + 31) - 4", "start_line": 30, "end_line": 30, "context": "\\boxed{(75 + 31) - 4}", "start_pos": 1167, "end_pos": 1189},... | [{"is_correct": true, "error": null, "answer_block": "(75 + 31) - 4", "final_answer": 102.0}] | [
[
true
]
] | [
[
"(75 + 31) - 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, "total_internal_spans": 1, "internal_spans_detailed": [{"answer": "(75 + 31) - 4", "start_line": 30, "end_line": 30, "context": "\\boxed{(75 + 31) - 4}", ... | [[{"is_correct": true, "error": null, "answer_block": "(75 + 31) - 4", "final_answer": 102.0}]] | {
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],
"best_of_n": [
0
],
"reflect_close": [
0
],
"reflect_open": [
0
],
"reflection_sbon": [
0
... | 2025-09-15 |
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