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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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with th... | [
false
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""
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false
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"48*73"
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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, 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 14 and ... | [
false
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""
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true
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"54*14"
] | {"all_spans_summary": [{"answer": "\\( 14 \\times 54 = 756 \\)", "context": "<answer> \\( 14 \\times 54 = 756 \\) </answer>", "end_line": 18, "start_line": 18}, {"answer": "54*14", "context": "<answer> 54*14 </answer>", "end_line": 30, "start_line": 30}], "empty_response": false, "error": null, "extraction_method": "ll... | [{"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}] | [
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"\\( 14 \\times 54 = 756 \\)",
"54*14"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 sequentially from these two given numbers.\n\n### Step-by-Step Solution:\n\n1. **Identify Possib... | [
false
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""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
true
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"40 + 70"
] | {"all_spans_summary": [{"answer": "\\( 40 * 70 - 40 + 70 \\)", "context": "The final boxed answer reflecting closest approximation respecting all conditions stated remains as follows:", "end_line": 42, "start_line": 42}, {"answer": "40 + 70 = 110", "context": "Therefore, the final answer is:", "end_line": 67, "start_li... | [{"answer_block": "40 + 70", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 110.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
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"40 + 70 = 110",
"40 + 70 = 110",
"40 + 70",
"40 + 70 = 110",
"40 + 70"
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] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 40 * 70 - 40 + 70 \\)", "context": "The final boxed answer reflecting closest approximation respecting all conditions stated remains as follows:", "end_line": 42, "end_pos": 2562, "start_line": 42, "st... | [{"value": "[{'answer_block': '\\\\( 40 * 70 - 40 + 70 \\\\)', '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': '40 + 70 = 11... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 find a combination that will yield 930 when applied sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 31 by i... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"31*30 - 3"
] | {"all_spans_summary": [{"answer": "\\( 31 * 31 - 7 \\)", "context": "Final Answer:", "end_line": 32, "start_line": 32}, {"answer": "31*30 - 3", "context": "In conclusion, the answer is:", "end_line": 44, "start_line": 44}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"a... | [{"answer_block": "31*30 - 3", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 930.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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false
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] | [
[
"\\( 31 * 31 - 7 \\)",
"31*30 - 3"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 31 * 31 - 7 \\)", "context": "Final Answer:", "end_line": 32, "end_pos": 1937, "start_line": 32, "start_pos": 1919}, {"answer": "31*30 - 3", "context": "In conclusion, the answer is:", "end_line": 44, ... | [{"value": "[{'answer_block': '\\\\( 31 * 31 - 7 \\\\)', '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 - 3', 'compa... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 two numbers.\n\n### Step-by-Step Solution:\n\n1. **Start with one of the numbers**: L... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
true
] | [
"78 + 25"
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"\\( 25 + 78 \\)",
"78 + 25"
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 number being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with adding these two numbers together.\n\\[ 85 + 76 \\]\n\nThis gives us:\n\\[ 85 + 76 = 161 \\]\n\nSo, our first equation is simpl... | [
false
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""
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false
] | [
"85*76 - 4859"
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"85*76 - 4859"
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 each being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 45 and 75.\n\\[ 45 \\times 75 = 3375 \\]\n\n**Step 2:** Divide the result from Step 1 by one of the original numbers (either 45 or 75).\n\\[ 3375 \\div 45 = 75 \\]... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"75/45 + 45"
] | {"all_spans_summary": [{"answer": "\\( (45 * 75) / 6 \\)", "context": "line 37, inside <answer> tags with the final equation", "end_line": 37, "start_line": 37}, {"answer": "75/45 + 45", "context": "line 49, inside <answer> tags at the end of the response", "end_line": 49, "start_line": 49}], "empty_response": false, "... | [{"answer_block": "75/45 + 45", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 120.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
false
]
] | [
[
"\\( (45 * 75) / 6 \\)",
"75/45 + 45"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( (45 * 75) / 6 \\)", "context": "line 37, inside <answer> tags with the final equation", "end_line": 37, "end_pos": 1051, "start_line": 37, "start_pos": 1031}, {"answer": "75/45 + 45", "context": "line ... | [{"value": "[{'answer_block': '\\\\( (45 * 75) / 6 \\\\)', '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 + 45', 'co... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 62 by 1... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
true
] | [
"62*14"
] | {"all_spans_summary": [{"answer": "62 \\times 14", "context": "\\boxed{62 \\times 14}", "end_line": 14, "start_line": 14}, {"answer": "\\( 62 * 14 = 868 \\)", "context": "<answer> \\( 62 * 14 = 868 \\) </answer>", "end_line": 68, "start_line": 68}, {"answer": "62*14", "context": "<answer> 62*14 </answer>", "end_line": ... | [{"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}] | [
[
false,
false,
true
]
] | [
[
"62 \\times 14",
"\\( 62 * 14 = 868 \\)",
"62*14"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "62 \\times 14", "context": "\\boxed{62 \\times 14}", "end_line": 14, "end_pos": 543, "start_line": 14, "start_pos": 522}, {"answer": "\\( 62 * 14 = 868 \\)", "context": "<answer> \\( 62 * 14 = 868 \\) </an... | [{"value": "[{'answer_block': '62 \\\\times 14', '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': '\\\\( 62 * 14 = 868 \\\\)'... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 find a combination that will yield 522 when applied sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 87 by 6.... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
true
] | [
"87*6"
] | {"all_spans_summary": [{"answer": "87 \\times 6", "context": "Line 14: \\boxed{87 \\times 6}", "end_line": 14, "start_line": 14}, {"answer": "Step 1: 87 * 6 = 522", "context": "Line 75: Step 1: 87 * 6 = 522", "end_line": 75, "start_line": 75}, {"answer": "87*6", "context": "Line 87: 87*6", "end_line": 87, "start_line":... | [{"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}] | [
[
false,
true,
true
]
] | [
[
"87 \\times 6",
"Step 1: 87 * 6 = 522",
"87*6"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "87 \\times 6", "context": "Line 14: \\boxed{87 \\times 6}", "end_line": 14, "end_pos": 539, "start_line": 14, "start_pos": 519}, {"answer": "Step 1: 87 * 6 = 522", "context": "Line 75: Step 1: 87 * 6 = 522... | [{"value": "[{'answer_block': '87 \\\\times 6', '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': 'Step 1: 87 * 6 = 522', 'com... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with tw... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"90*66 - 5784"
] | {"all_spans_summary": [{"answer": "\\( 90 + 66 \\)", "context": "Final Answer <answer> \\( 90 + 66 \\) </answer>", "end_line": 19, "start_line": 19}, {"answer": "90*66 - 5784", "context": "Hence, the correct answer is: <answer> 90*66 - 5784 </answer>", "end_line": 31, "start_line": 31}], "empty_response": false, "error... | [{"answer_block": "90*66 - 5784", "comparison_type": null, "correct_answer": null, "error": "Expression uses an unavailable or repeated number", "evaluation_method": null, "extracted_answer": null, "final_answer": 156.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
false
]
] | [
[
"\\( 90 + 66 \\)",
"90*66 - 5784"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 90 + 66 \\)", "context": "Final Answer <answer> \\( 90 + 66 \\) </answer>", "end_line": 19, "end_pos": 882, "start_line": 19, "start_pos": 868}, {"answer": "90*66 - 5784", "context": "Hence, the correc... | [{"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 - 5784', 'compar... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"92*17 - 109"
] | {"all_spans_summary": [{"answer": "\\(92 + 17 = 109\\)", "context": "Line 26, final equation in first sample answer", "end_line": 26, "start_line": 26}, {"answer": "Cannot achieve the target number using the given numbers and operations.", "context": "Line 60, answer in second sample answer", "end_line": 60, "start_lin... | [{"answer_block": "92*17 - 109", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 109.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
false,
false
]
] | [
[
"\\(92 + 17 = 109\\)",
"Cannot achieve the target number using the given numbers and operations.",
"92*17 - 109"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(92 + 17 = 109\\)", "context": "Line 26, final equation in first sample answer", "end_line": 26, "end_pos": 1001, "start_line": 26, "start_pos": 983}, {"answer": "Cannot achieve the target number using t... | [{"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': 'Cannot achieve the... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 32 and ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
true
] | [
"32*20"
] | {"all_spans_summary": [{"answer": "\\( 32 \\times 20 = 640 \\)", "context": "Line 36 inside <answer> tags with equation", "end_line": 36, "start_line": 36}, {"answer": "32*20", "context": "Line 48 inside <answer> tags with final answer", "end_line": 48, "start_line": 48}], "empty_response": false, "error": null, "extra... | [{"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": "Line 36 inside <answer> tags with equation", "end_line": 36, "end_pos": 1290, "start_line": 36, "start_pos": 1265}, {"answer": "32*20", "context": "Line 48 inside ... | [{"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', ... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with tw... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"74*51 - 3669"
] | {"all_spans_summary": [{"answer": "\\(74 + 51 = 125\\)", "context": "Therefore, the answer is:", "end_line": 29, "start_line": 28}, {"answer": "74*51 - 3669", "context": "Hence, the correct answer is:", "end_line": 41, "start_line": 40}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_... | [{"answer_block": "74*51 - 3669", "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 - 3669"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(74 + 51 = 125\\)", "context": "Therefore, the answer is:", "end_line": 29, "end_pos": 952, "start_line": 28, "start_pos": 924}, {"answer": "74*51 - 3669", "context": "Hence, the correct answer is:", "en... | [{"value": "[{'answer_block': '\\\\(74 + 51 = 125\\\\)', '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': '74*51 - 3669', 'co... | {
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 each being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 80 by 7.\n\\[ 80 \\times 7 = 560 \\]\n\nSo, our final equation will simply be \\( 80 \\times 7 \\).\n\nTherefore, the answer is:\n\n<answer>\n\\( 80 \\times 7 \\)\n... | [
false
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""
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with tw... | [
false
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""
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false
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"80*73"
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 two lar... | [
false
] | [
""
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false
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"27*84"
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with th... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:60165/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-9_2_25__yolo_run-sft", "prompt": [{"content": "Answer the following problem. Exp... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-9_2_25__yolo_run-sft", "n_responses": 1} | [
false
] | [
"66*55"
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... | 2025-09-02 |
Answer the following problem. Explain your reasoning 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 113 using the numbers 66 and 47 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 113 when applied sequentially. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with tw... | [
false
] | [
""
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"66 + 47"
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... | 2025-09-02 |
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