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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 48 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 121 using the numbers 73 and 48 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 121 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
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""
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false
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"48*73"
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"(73 - 48) + 48 = 25 + 48 = 73 \\\\ 73 - 48 = 25 \\\\ 25 + 96 = 121",
"\\( 73 + 48 = 121 \\)",
"48*73"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*54 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 756 using the numbers 14 and 54 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 756 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 14 and 54.... | [
false
] | [
""
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true
] | [
"54*14"
] | {"all_spans_summary": [{"answer": "54*14", "context": "<answer> 54*14 </answer>", "end_line": 27, "start_line": 27}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "54*14", "context": "<answer> 54*14 </answer>", "end_line": 27, "end_pos": 767, "start_line": 27, ... | [{"answer_block": "54*14", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 756.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true
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] | [
[
"54*14"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "54*14", "context": "<answer> 54*14 </answer>", "end_line": 27, "end_pos": 767, "start_line": 27, "start_pos": 761}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, ... | [{"value": "[{'answer_block': '54*14', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 756.0, 'is_correct': True, 'is_equivalent': None, 'method': None}]"}] | [
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 110 using the numbers 40 and 70 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield exactly 110 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start wi... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"70*40"
] | {"all_spans_summary": [{"answer": "\\(40 + 70\\)", "context": "Line 32 inside <answer> tags showing the final equation", "end_line": 32, "start_line": 32}, {"answer": "70*40", "context": "Line 44 inside <answer> tags showing an alternative answer", "end_line": 44, "start_line": 44}], "empty_response": false, "error": n... | [{"answer_block": "70*40", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 110.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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false
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"\\(40 + 70\\)",
"70*40"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 31*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, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 930 using the numbers 30 and 31 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to strategically combine these numbers to achieve our goal. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 31 by itself.\n\... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"31*30"
] | {"all_spans_summary": [{"answer": "\\(30 \\times 31\\)", "context": "Line 56 inside <answer> tags with the multiplication expression", "end_line": 56, "start_line": 56}, {"answer": "31*30", "context": "Line 68 inside <answer> tags with the multiplication expression", "end_line": 68, "start_line": 68}], "empty_response"... | [{"answer_block": "31*30", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 930.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
]
] | [
[
"\\(30 \\times 31\\)",
"31*30"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(30 \\times 31\\)", "context": "Line 56 inside <answer> tags with the multiplication expression", "end_line": 56, "end_pos": 2779, "start_line": 56, "start_pos": 2762}, {"answer": "31*30", "context": "Li... | [{"value": "[{'answer_block': '\\\\(30 \\\\times 31\\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '31*30', 'compari... | [
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number using the given numbers [25, 78], we need to find a combination of addition, subtraction, multiplication, and division that will result in 103 when applied sequentially with these numbers. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"78 + 25"
] | {"all_spans_summary": [{"answer": "\\( 25 + 78 \\)", "context": "Lines 16-18, final answer in <answer> tags", "end_line": 18, "start_line": 17}, {"answer": "78 + 25", "context": "Lines 28-30, final answer in <answer> tags", "end_line": 30, "start_line": 29}], "empty_response": false, "error": null, "extraction_method":... | [{"answer_block": "78 + 25", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 103.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
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[
"\\( 25 + 78 \\)",
"78 + 25"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 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, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6120, "numbers": [85, 76], "target": 161, "expression": "76 + 85"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number 161 using the given numbers 85 and 76 with each being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let’s add these two numbers together.\n\\[ 85 + 76 \\]\n\nThis gives us:\n\\[ 85 + 76 = 161 \\]\n\nSo, our first equation would look like thi... | [
false
] | [
""
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true
] | [
"76 + 85"
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[
true,
true
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"(85 + 76)",
"76 + 85"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5533, "numbers": [45, 75], "target": 120, "expression": "45 + 75"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 120 using the numbers 45 and 75 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 120 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"75 + 45"
] | {"all_spans_summary": [{"answer": "\\(45 + 75\\)", "context": "lines 30-32, final answer in <answer> tags", "end_line": 32, "start_line": 31}, {"answer": "75 + 45", "context": "lines 42-44, final answer in <answer> tags", "end_line": 44, "start_line": 43}], "empty_response": false, "error": null, "extraction_method": "... | [{"answer_block": "75 + 45", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 120.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
]
] | [
[
"\\(45 + 75\\)",
"75 + 45"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(45 + 75\\)", "context": "lines 30-32, final answer in <answer> tags", "end_line": 32, "end_pos": 1130, "start_line": 31, "start_pos": 1108}, {"answer": "75 + 45", "context": "lines 42-44, final answer i... | [{"value": "[{'answer_block': '\\\\(45 + 75\\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '75 + 45', 'comparison_ty... | [
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true,
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[
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*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, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5746, "numbers": [62, 14], "target": 868, "expression": "14*62"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 868 using the numbers 62 and 14 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 868 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 62 and 14.... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"62*14"
] | {"all_spans_summary": [{"answer": "62 * 14", "context": "\\boxed{62 * 14}", "end_line": 14, "start_line": 14}, {"answer": "Cannot be done with the given numbers.", "context": "<answer>\nCannot be done with the given numbers.", "end_line": 46, "start_line": 46}, {"answer": "62*14", "context": "<answer>\n62*14", "end_lin... | [{"answer_block": "62*14", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 868.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
false,
true
]
] | [
[
"62 * 14",
"Cannot be done with the given numbers.",
"62*14"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "62 * 14", "context": "\\boxed{62 * 14}", "end_line": 14, "end_pos": 536, "start_line": 14, "start_pos": 520}, {"answer": "Cannot be done with the given numbers.", "context": "<answer>\nCannot be done with ... | [{"value": "[{'answer_block': '62 * 14', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 868.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Cannot be done with the given numbers.', 'comparison_type': N... | [
[
null,
null,
null
]
] | [
[
null,
null,
null
]
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"per... | 2025-09-03 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5021, "numbers": [87, 6], "target": 522, "expression": "6*87"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 522 using the numbers 87 and 6 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to strategically combine these numbers to achieve our goal. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 87 and 6.\n\\[ 87... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"87*6"
] | {"all_spans_summary": [{"answer": "87*6", "context": "<answer> 87*6 </answer>", "end_line": 26, "start_line": 26}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "87*6", "context": "<answer> 87*6 </answer>", "end_line": 26, "end_pos": 698, "start_line": 26, "sta... | [{"answer_block": "87*6", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 522.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true
]
] | [
[
"87*6"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "87*6", "context": "<answer> 87*6 </answer>", "end_line": 26, "end_pos": 698, "start_line": 26, "start_pos": 693}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "s... | [{"value": "[{'answer_block': '87*6', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 522.0, 'is_correct': True, 'is_equivalent': None, 'method': None}]"}] | [
[
null
]
] | [
[
null
]
] | {
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6819, "numbers": [90, 66], "target": 156, "expression": "90 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 156 using the numbers 90 and 66 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 156 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"66*90"
] | {"all_spans_summary": [{"answer": "\\(90 + 66\\)", "context": "Line 34-36, answer tags with equation", "end_line": 35, "start_line": 35}, {"answer": "90 + 66 = 156", "context": "Line 58-60, answer tags with equation and result", "end_line": 59, "start_line": 59}, {"answer": "66*90", "context": "Line 70-72, answer tags ... | [{"answer_block": "66*90", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 156.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true,
false
]
] | [
[
"\\(90 + 66\\)",
"90 + 66 = 156",
"66*90"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(90 + 66\\)", "context": "Line 34-36, answer tags with equation", "end_line": 35, "end_pos": 1106, "start_line": 35, "start_pos": 1094}, {"answer": "90 + 66 = 156", "context": "Line 58-60, answer tags wi... | [{"value": "[{'answer_block': '\\\\(90 + 66\\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '90 + 66 = 156', 'compari... | [
[
false,
true,
null
]
] | [
[
true,
true,
null
]
] | {
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17 + 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 [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5462, "numbers": [17, 92], "target": 109, "expression": "17 + 92"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number using the given numbers [17, 92], we need to find a combination of addition, subtraction, multiplication, and division that will result in 109 when applied sequentially with these numbers.\n\n### Step-by-Step Solution:\n\n1. **Start with one of the numbers**: Let’s... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"92 + 17"
] | {"all_spans_summary": [{"answer": "\\( 92 + 17 = 109 \\)", "context": "Final Answer:", "end_line": 22, "start_line": 22}, {"answer": "92 + 17", "context": "Hence, the correct answer is:", "end_line": 34, "start_line": 34}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"a... | [{"answer_block": "92 + 17", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 109.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
]
] | [
[
"\\( 92 + 17 = 109 \\)",
"92 + 17"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 92 + 17 = 109 \\)", "context": "Final Answer:", "end_line": 22, "end_pos": 735, "start_line": 22, "start_pos": 715}, {"answer": "92 + 17", "context": "Hence, the correct answer is:", "end_line": 34, "e... | [{"value": "[{'answer_block': '\\\\( 92 + 17 = 109 \\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '92 + 17', 'compa... | [
[
true,
null
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] | [
[
false,
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]
] | {
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0
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32*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 [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6675, "numbers": [32, 20], "target": 640, "expression": "32*20"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 640 using the numbers 32 and 20 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 640 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 32 and 20.... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"32*20"
] | {"all_spans_summary": [{"answer": "\\( 32 \\times 20 = 640 \\)", "context": "lines 33-35, inside <answer> tags with the equation", "end_line": 35, "start_line": 34}, {"answer": "32*20", "context": "line 46, inside <answer> tags with the final answer", "end_line": 46, "start_line": 46}], "empty_response": false, "error"... | [{"answer_block": "32*20", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 640.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
]
] | [
[
"\\( 32 \\times 20 = 640 \\)",
"32*20"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 32 \\times 20 = 640 \\)", "context": "lines 33-35, inside <answer> tags with the equation", "end_line": 35, "end_pos": 1250, "start_line": 34, "start_pos": 1215}, {"answer": "32*20", "context": "line 4... | [{"value": "[{'answer_block': '\\\\( 32 \\\\times 20 = 640 \\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '32*20', ... | [
[
true,
null
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] | [
[
false,
null
]
] | {
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 74 + 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 [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5279, "numbers": [74, 51], "target": 125, "expression": "74 + 51"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 125 using the numbers 74 and 51 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 125 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"74*51"
] | {"all_spans_summary": [{"answer": "\\(74 + 51 = 125\\)", "context": "<answer> \\(74 + 51 = 125\\) </answer>", "end_line": 30, "start_line": 30}, {"answer": "74*51", "context": "<answer> 74*51 </answer>", "end_line": 42, "start_line": 42}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final... | [{"answer_block": "74*51", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 125.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
false
]
] | [
[
"\\(74 + 51 = 125\\)",
"74*51"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5775, "numbers": [80, 7], "target": 560, "expression": "7*80"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 560 using the numbers 80 and 7 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 560 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 80 by 7.\n\... | [
false
] | [
""
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true
] | [
"80*7"
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[
true
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] | [
[
"80*7"
]
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6089, \"numbers\": [73, 80], \"target\": 153, \"expression\": \"73 + 80\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6089, "numbers": [73, 80], "target": 153, "expression": "73 + 80"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 153 using the numbers 73 and 80 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 153 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"80*73"
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[
false,
false
]
] | [
[
"\\(73 + 80 = 153\\)",
"80*73"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(73 + 80 = 153\\)", "context": "line 28 inside <answer> tags with the final equation", "end_line": 28, "end_pos": 924, "start_line": 28, "start_pos": 906}, {"answer": "80*73", "context": "line 40 inside ... | [{"value": "[{'answer_block': '\\\\(73 + 80 = 153\\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '80*73', 'compariso... | [
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5705, "numbers": [27, 84], "target": 111, "expression": "84 + 27"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number 111 using the given numbers [27, 84], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 111. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the lar... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
true
] | [
"84 + 27"
] | {"all_spans_summary": [{"answer": "\\( 84 + 27 \\)", "context": "Line 19 inside <answer> tags with the equation", "end_line": 19, "start_line": 19}, {"answer": "84 + 27", "context": "Line 31 inside <answer> tags with the equation", "end_line": 31, "start_line": 31}], "empty_response": false, "error": null, "extraction_... | [{"answer_block": "84 + 27", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 111.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true
]
] | [
[
"\\( 84 + 27 \\)",
"84 + 27"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 84 + 27 \\)", "context": "Line 19 inside <answer> tags with the equation", "end_line": 19, "end_pos": 661, "start_line": 19, "start_pos": 647}, {"answer": "84 + 27", "context": "Line 31 inside <answer>... | [{"value": "[{'answer_block': '\\\\( 84 + 27 \\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '84 + 27', 'comparison_... | [
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6474, "numbers": [66, 55], "target": 121, "expression": "55 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 121 using the numbers 66 and 55 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 121 when applied correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"66*55"
] | {"all_spans_summary": [{"answer": "66 + 55 = 121", "context": "The final answer is:", "end_line": 83, "start_line": 83}, {"answer": "66*55", "context": "Altogether, this gives us:", "end_line": 95, "start_line": 95}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer"... | [{"answer_block": "66*55", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 121.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
false
]
] | [
[
"66 + 55 = 121",
"66*55"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "66 + 55 = 121", "context": "The final answer is:", "end_line": 83, "end_pos": 3590, "start_line": 83, "start_pos": 3576}, {"answer": "66*55", "context": "Altogether, this gives us:", "end_line": 95, "end_p... | [{"value": "[{'answer_block': '66 + 55 = 121', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 121.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': '66*55', 'comparison_type': None, 'correct_answer': None... | [
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"... | 2025-09-03 |
Answer the following problem. Explain your reasoning 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, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5465, "numbers": [66, 47], "target": 113, "expression": "47 + 66"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number 113 using the given numbers 66 and 47 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 113 when applied correctly.\n\n### Step-by-Step Solution:\n\n1. **Identify possible combinations*... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:45305/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/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1c_sft-sft", "n_responses": 1} | [
false
] | [
"66*47 - 285"
] | {"all_spans_summary": [{"answer": "66 + 47 = 113", "context": "Lines 43-45, final answer with equation", "end_line": 45, "start_line": 44}, {"answer": "66*47 - 285", "context": "Line 68, alternative answer expression", "end_line": 68, "start_line": 68}], "empty_response": false, "error": null, "extraction_method": "llm... | [{"answer_block": "66*47 - 285", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 113.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
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] | [
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"66 + 47 = 113",
"66*47 - 285"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "66 + 47 = 113", "context": "Lines 43-45, final answer with equation", "end_line": 45, "end_pos": 1587, "start_line": 44, "start_pos": 1563}, {"answer": "66*47 - 285", "context": "Line 68, alternative answe... | [{"value": "[{'answer_block': '66 + 47 = 113', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 113.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': '66*47 - 285', 'comparison_type': None, 'correct_answer'... | [
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null,
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"... | 2025-09-03 |
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