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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 two g... | [
false
] | [
""
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false
] | [
"73*48"
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true,
false
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[
"73 + 48",
"73*48"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "73 + 48", "context": "\\boxed{73 + 48}", "end_line": 18, "end_pos": 642, "start_line": 18, "start_pos": 626}, {"answer": "73*48", "context": "<answer>\n73*48\n</answer>", "end_line": 30, "end_pos": 858, "s... | [{"value": "[{'answer_block': '73 + 48', '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': '73*48', 'comparison_type': None, 'correct_answer': None, 'err... | [
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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 [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
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"54*14"
] | {"all_spans_summary": [{"answer": "14 \\times 54", "context": "\\boxed{14 \\times 54}", "end_line": 15, "start_line": 15}, {"answer": "54*14", "context": "<answer>\n54*14\n</answer>", "end_line": 27, "start_line": 27}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answe... | [{"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}] | [
[
false,
true
]
] | [
[
"14 \\times 54",
"54*14"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "14 \\times 54", "context": "\\boxed{14 \\times 54}", "end_line": 15, "end_pos": 629, "start_line": 15, "start_pos": 608}, {"answer": "54*14", "context": "<answer>\n54*14\n</answer>", "end_line": 27, "end_p... | [{"value": "[{'answer_block': '14 \\\\times 54', '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': '54*14', 'comparison_type':... | [
[
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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 [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://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
false
] | [
"70*2 + 40"
] | {"all_spans_summary": [{"answer": "\\(40 + 70\\)", "context": "<answer> \\(40 + 70\\) </answer>", "end_line": 23, "start_line": 23}, {"answer": "70*2 + 40", "context": "<answer> 70*2 + 40 </answer>", "end_line": 35, "start_line": 35}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_spa... | [{"answer_block": "70*2 + 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}] | [
[
false,
false
]
] | [
[
"\\(40 + 70\\)",
"70*2 + 40"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(40 + 70\\)", "context": "<answer> \\(40 + 70\\) </answer>", "end_line": 23, "end_pos": 767, "start_line": 23, "start_pos": 755}, {"answer": "70*2 + 40", "context": "<answer> 70*2 + 40 </answer>", "end_l... | [{"value": "[{'answer_block': '\\\\(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': '70*2 + 40', '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 [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 into one expression that yields 930 when evaluated.\n\n### Step-by-Step Solution:\n\n1. **Identify Possible Operations**... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"31*30"
] | {"all_spans_summary": [{"answer": "\\(30 * 31 = 930\\)", "context": "<answer> \\(30 * 31 = 930\\) </answer>", "end_line": 22, "start_line": 22}, {"answer": "31*30", "context": "<answer> 31*30 </answer>", "end_line": 34, "start_line": 34}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final... | [{"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 * 31 = 930\\)",
"31*30"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(30 * 31 = 930\\)", "context": "<answer> \\(30 * 31 = 930\\) </answer>", "end_line": 22, "end_pos": 873, "start_line": 22, "start_pos": 855}, {"answer": "31*30", "context": "<answer> 31*30 </answer>", "e... | [{"value": "[{'answer_block': '\\\\(30 * 31 = 930\\\\)', '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', '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 [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://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"78 + 25"
] | {"all_spans_summary": [{"answer": "\\( 25 + 78 \\)", "context": "The final answer is:", "end_line": 24, "start_line": 24}, {"answer": "78 + 25", "context": "Hence, the correct answer is:", "end_line": 36, "start_line": 36}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"... | [{"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 161 using the numbers 85 and 76 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 161 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://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
false
] | [
"85*76"
] | {"all_spans_summary": [{"answer": "85*76", "context": "<answer> 85*76 </answer>", "end_line": 35, "start_line": 35}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "85*76", "context": "<answer> 85*76 </answer>", "end_line": 35, "end_pos": 1247, "start_line": 35,... | [{"answer_block": "85*76", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 161.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false
]
] | [
[
"85*76"
]
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[
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 [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 the target number 120 using the given numbers [45, 75], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 120. 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
] | [
"45*75 - 2175 + 90"
] | {"all_spans_summary": [{"answer": "\\( 45 \\times 75 - 2175 + 90 = 120 \\)", "context": "Line 41 inside <answer> tags with equation", "end_line": 41, "start_line": 41}, {"answer": "45*75 - 2175 + 90", "context": "Line 53 inside <answer> tags with equation", "end_line": 53, "start_line": 53}], "empty_response": false, "... | [{"answer_block": "45*75 - 2175 + 90", "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 \\times 75 - 2175 + 90 = 120 \\)",
"45*75 - 2175 + 90"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 45 \\times 75 - 2175 + 90 = 120 \\)", "context": "Line 41 inside <answer> tags with equation", "end_line": 41, "end_pos": 1923, "start_line": 41, "start_pos": 1886}, {"answer": "45*75 - 2175 + 90", "co... | [{"value": "[{'answer_block': '\\\\( 45 \\\\times 75 - 2175 + 90 = 120 \\\\)', '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... | [
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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 by 14.\... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"62*14"
] | {"all_spans_summary": [{"answer": "(62 * 14)", "context": "Line 19 inside <answer> tags showing the multiplication equation", "end_line": 19, "start_line": 19}, {"answer": "62*14", "context": "Line 31 inside <answer> tags showing the multiplication equation without spaces", "end_line": 31, "start_line": 31}], "empty_re... | [{"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,
true
]
] | [
[
"(62 * 14)",
"62*14"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "(62 * 14)", "context": "Line 19 inside <answer> tags showing the multiplication equation", "end_line": 19, "end_pos": 577, "start_line": 19, "start_pos": 567}, {"answer": "62*14", "context": "Line 31 insid... | [{"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': '62*14', 'comparison_type': None, 'correct_answer': None, 'e... | [
[
true,
null
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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 [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://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_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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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 [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 two g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
false
] | [
"90*66 - 5784"
] | {"all_spans_summary": [{"answer": "\\(90 + 66\\)", "context": "Line 26, inside <answer> tags with the sum equation", "end_line": 26, "start_line": 26}, {"answer": "90*66 - 5784", "context": "Line 38, inside <answer> tags with multiplication and subtraction expression", "end_line": 38, "start_line": 38}], "empty_respons... | [{"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": "Line 26, inside <answer> tags with the sum equation", "end_line": 26, "end_pos": 944, "start_line": 26, "start_pos": 932}, {"answer": "90*66 - 5784", "context": "Line 38, inside... | [{"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', 'comparis... | [
[
true,
null
]
] | [
[
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 [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 two numbers.\n\n### Step-by-Step Solution:\n\n1. **Identify Possible Operations**: We... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"92 + 17"
] | {"all_spans_summary": [{"answer": "\\(17 + 92\\)", "context": "Line 21-23: <answer> \\(17 + 92\\) </answer>", "end_line": 22, "start_line": 22}, {"answer": "17 + 92 = 109", "context": "Line 50-52: <answer> 17 + 92 = 109 </answer>", "end_line": 51, "start_line": 51}, {"answer": "92 + 17", "context": "Line 62-64: <answer... | [{"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,
true
]
] | [
[
"\\(17 + 92\\)",
"17 + 92 = 109",
"92 + 17"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(17 + 92\\)", "context": "Line 21-23: <answer> \\(17 + 92\\) </answer>", "end_line": 22, "end_pos": 954, "start_line": 22, "start_pos": 942}, {"answer": "17 + 92 = 109", "context": "Line 50-52: <answer> ... | [{"value": "[{'answer_block': '\\\\(17 + 92\\\\)', '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': '17 + 92 = 109', 'compari... | [
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false,
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null
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[
true,
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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://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
true
] | [
"32*20"
] | {"all_spans_summary": [{"answer": "32*20", "context": "<answer> 32*20 </answer>", "end_line": 27, "start_line": 27}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "final_span_info": {"answer": "32*20", "context": "<answer> 32*20 </answer>", "end_line": 27, "end_pos": 780, "start_line": 27, ... | [{"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}] | [
[
true
]
] | [
[
"32*20"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "32*20", "context": "<answer> 32*20 </answer>", "end_line": 27, "end_pos": 780, "start_line": 27, "start_pos": 774}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, ... | [{"value": "[{'answer_block': '32*20', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 640.0, 'is_correct': True, 'is_equivalent': None, 'method': None}]"}] | [
[
null
]
] | [
[
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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 [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 two g... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:37539/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_1e_sft-sft", "prompt": [{"content": "Answer the following prob... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_yolo_1e_sft-sft", "n_responses": 1} | [
false
] | [
"74*51 - 3669"
] | {"all_spans_summary": [{"answer": "\\(74 + 51 = 125\\)", "context": "Therefore, the answer is:", "end_line": 28, "start_line": 27}, {"answer": "74*51 - 3669", "context": "Hence, the correct answer is:", "end_line": 40, "start_line": 39}], "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"
]
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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 each being used exactly once:\n\n1. First, we need to multiply these two numbers together because their product will likely help us get closer to our goal.\n - Step 1: \\( 80 \\times 7 = 560 \\)\n\nSo, the equation that equals 560 is simply the ... | [
false
] | [
""
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true
] | [
"80*7"
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[
"\\( 80 \\times 7 = 560 \\)",
"Step 1: 80 * 7 = 560",
"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 the target number 153 using the given numbers 73 and 80 with each number being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** Add 73 and 80.\n\\[ 73 + 80 = 153 \\]\n\nSo, the equation that equals 153 is simply adding these two numbers together.\n\nTherefore, the fina... | [
false
] | [
""
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true
] | [
"80 + 73"
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[
false,
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[
"\\( 73 + 80 = 153 \\)",
"80 + 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 [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
] | [
""
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true
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"84 + 27"
] | {"all_spans_summary": [{"answer": "\\( 84 + 27 \\)", "context": "Final Answer <answer> line", "end_line": 19, "start_line": 19}, {"answer": "84 + 27", "context": "Hence, the correct answer is <answer> line", "end_line": 31, "start_line": 31}], "empty_response": false, "error": null, "extraction_method": "llm_judge", "f... | [{"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"
]
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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 two g... | [
false
] | [
""
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false
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"66*55"
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[
false,
false
]
] | [
[
"\\(66 + 55 = 121\\)",
"66*55"
]
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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 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 correctly. Let’s break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with two g... | [
false
] | [
""
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false
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"66*47"
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[
true,
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]
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[
"66 + 47",
"66*47"
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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 [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6286, \"numbers\": [75, 91], \"target\": 166, \"expression\": \"91 + 75\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6286, "numbers": [75, 91], "target": 166, "expression": "91 + 75"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for the target number 166 using the given numbers 75 and 91 with each number being used exactly once:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let’s try adding these two numbers together.\n\\[ 75 + 91 = 166 \\]\n\nThis directly gives us our result without needing any further o... | [
false
] | [
""
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true
] | [
"91 + 75"
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[
false,
true
]
] | [
[
"75*91 - 4169 + 1007 - 1007",
"91 + 75"
]
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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 [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 40 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6311, \"numbers\": [81, 40], \"target\": 121, \"expression\": \"81 + 40\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6311, "numbers": [81, 40], "target": 121, "expression": "81 + 40"} | null | null | null | null | null | [
"<think>\n<sample>\nTo solve for 121 using the numbers 81 and 40 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... | [
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""
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"... | 2025-09-03 |
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