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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 this problem, we need to use the numbers 73 and 48 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 121.\n\nHere’s how we can approach it:\n\n1. **Identify possible combinations**: We need to find a combination of these two... | [
false
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""
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"There is no valid equation using the numbers 73 and 48 exactly once to achieve the target number 121."
] | {"all_spans_summary": [{"answer": "\\(73 + 48 = 121\\)", "context": "<answer> \\(73 + 48 = 121\\) </answer>", "end_line": 18, "start_line": 17}, {"answer": "\\(73 + 48 = 121\\)", "context": "<answer> \\(73 + 48 = 121\\) </answer>", "end_line": 29, "start_line": 28}, {"answer": "\\(73 + 48\\)", "context": "<answer> \\(7... | [{"answer_block": "There is no valid equation using the numbers 73 and 48 exactly once to achieve the target number 121.", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equiva... | [
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"\\(73 + 48 = 121\\)",
"\\(73 + 48 = 121\\)",
"\\(73 + 48\\)",
"\\(73 + 48\\)",
"Step 1: (73 - 48) * 2 = 50\nStep 2: 50 + 73 = 121",
"(73 + 48)",
"There is no valid equation using the numbers 73 and 48 exactly once to achieve the target number 121."
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\(73 + 48 = 121\\)", "context": "<answer> \\(73 + 48 = 121\\) </answer>", "end_line": 18, "end_pos": 710, "start_line": 17, "start_pos": 682}, {"answer": "\\(73 + 48 = 121\\)", "context": "<answer> \\(73 ... | [{"value": "[{'answer_block': '\\\\(73 + 48 = 121\\\\)', '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': '\\\\(73 + 48 = 121... | {
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... | 2025-09-10 |
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 this problem, we need to use the numbers 14 and 54 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 756. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 14 and 54.\n\\[ 14 \\times 54 = 756... | [
false
] | [
""
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false
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"['Step 1: (14 * 54) - 14 = 756']"
] | {"all_spans_summary": [{"answer": "\\( 14 \\times 54 = 756 \\)", "context": "<answer> ... </answer> with the multiplication equation", "end_line": 16, "start_line": 15}, {"answer": "\\( 14 \\times 54 = 756 \\)", "context": "<answer> ... </answer> with the multiplication equation repeated", "end_line": 73, "start_line":... | [{"answer_block": "['Step 1: (14 * 54) - 14 = 756']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate line: ['Step 1: (14 * 54) - 14 = 756']", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": nu... | [
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"\\( 14 \\times 54 = 756 \\)",
"\\( 14 \\times 54 = 756 \\)",
"\\( 14 \\times 54 = 756 \\)",
"\\( 14 \\times 54 = 756 \\)",
"Step 1: (14 * 54) - 14 = 756",
"['Step 1: (14 * 54) - 14 = 756']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 14 \\times 54 = 756 \\)", "context": "<answer> ... </answer> with the multiplication equation", "end_line": 16, "end_pos": 526, "start_line": 15, "start_pos": 491}, {"answer": "\\( 14 \\times 54 = 756 ... | [{"value": "[{'answer_block': '\\\\( 14 \\\\times 54 = 756 \\\\)', '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': '\\\\( 14... | {
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... | 2025-09-10 |
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 this problem, we need to use the numbers 40 and 70 exactly once and combine them using addition, subtraction, multiplication, and division to get the result of 110. Let's explore different combinations:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 40 and 70.\n\\[ 40 \\times 70 =... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
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"Step 1: (40 * 2) - 70 = 10\nStep 2: 10 + 10 = 20\nStep 3: 20 * 5 = 100\nStep 4: 100 - 90 = 10"
] | {"all_spans_summary": [{"answer": "(40 + 70)", "context": "Final Answer", "end_line": 22, "start_line": 22}, {"answer": "(40 + 70)", "context": "Final Answer", "end_line": 54, "start_line": 54}, {"answer": "(40 * 70) - 30", "context": "equation would be", "end_line": 78, "start_line": 78}, {"answer": "\\left(\\frac{4}{... | [{"answer_block": "Step 1: (40 * 2) - 70 = 10\nStep 2: 10 + 10 = 20\nStep 3: 20 * 5 = 100\nStep 4: 100 - 90 = 10", "comparison_type": null, "correct_answer": null, "error": "Line uses unavailable numbers: Step 1: (40 * 2) - 70 = 10", "evaluation_method": null, "extracted_answer": null, "final_answer": 10.0, "is_correct... | [
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"(40 + 70)",
"(40 + 70)",
"(40 * 70) - 30",
"\\left(\\frac{4}{7}\\right) \\times 70 + 70 = 110",
"Step 1: (40 * 2) - 70 = 10\nStep 2: 10 + 10 = 20\nStep 3: 20 * 5 = 100\nStep 4: 100 - 90 = 10"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "(40 + 70)", "context": "Final Answer", "end_line": 22, "end_pos": 647, "start_line": 22, "start_pos": 637}, {"answer": "(40 + 70)", "context": "Final Answer", "end_line": 54, "end_pos": 1447, "start_line":... | [{"value": "[{'answer_block': '(40 + 70)', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 110.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': '(40 + 70)', 'comparison_type': None, 'correct_answer': None... | {
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... | 2025-09-10 |
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 this problem, we need to use the numbers 30 and 31 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 930. Let's explore different combinations:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 31 by itself.\n\\[ 31 \\tim... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
] | [
"['\\( 31 \\times 30 \\)']"
] | {"all_spans_summary": [{"answer": "\\( 31 \\times 30 \\)", "context": "final equation is:", "end_line": 34, "start_line": 33}, {"answer": "\\( 31 \\times 30 \\)", "context": "final equation that equals 930 using the numbers 30 and 31 exactly once is:", "end_line": 99, "start_line": 98}, {"answer": "Step 1: 31 * 31 = 96... | [{"answer_block": "['\\( 31 \\times 30 \\)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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"\\( 31 \\times 30 \\)",
"\\( 31 \\times 30 \\)",
"Step 1: 31 * 31 = 961\nStep 2: 961 - 30 = 931\nStep 3: 931 / 3 = 310.333...\nStep 4: 31 * 30 = 930",
"\\( 31 \\times 30 \\)",
"\\( 31 \\times 30 \\)",
"['\\( 31 \\times 30 \\)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 31 \\times 30 \\)", "context": "final equation is:", "end_line": 34, "end_pos": 935, "start_line": 33, "start_pos": 906}, {"answer": "\\( 31 \\times 30 \\)", "context": "final equation that equals 930 ... | [{"value": "[{'answer_block': '\\\\( 31 \\\\times 30 \\\\)', '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 \\\\t... | {
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... | 2025-09-10 |
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 this problem, we need to use the numbers 25 and 78 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 103. Let's explore different combinations:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 25 and 78.\n\\[ 25 \\times ... | [
false
] | [
""
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false
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"['(25 + 78)']"
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"\\( 25 + 78 = 103 \\)",
"(25 + 78)",
"(25 + 78)",
"(25 + 78)",
"(25 + 78)",
"['(25 + 78)']"
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] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 25 + 78 = 103 \\)", "context": "Final Answer equation in <answer> tags", "end_line": 41, "end_pos": 982, "start_line": 41, "start_pos": 962}, {"answer": "(25 + 78)", "context": "Final Answer in <answer... | [{"value": "[{'answer_block': '\\\\( 25 + 78 = 103 \\\\)', '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': '(25 + 78)', 'com... | {
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [85, 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 this problem, we need to use the numbers 85 and 76 from the given list and combine them using basic arithmetic operations such as addition, subtraction, multiplication, and division to get the target number, which is 161.\n\nHere’s how we can approach it:\n\n1. **Identify the target**: ... | [
false
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""
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false
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"(85 * 76) + 1"
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"No valid equation exists using the numbers 85 and 76 with basic arithmetic operations to achieve exactly 161.",
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0
... | 2025-09-10 |
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 this problem, we need to use the numbers 45 and 75 from the given list and combine them using basic arithmetic operations such as addition, subtraction, multiplication, and division to get the target number, which is 120.\n\nHere's one possible way to achieve this:\n\nStep 1: Multiply 4... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
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"['(45 + 75)']"
] | {"all_spans_summary": [{"answer": "(45 + 75)", "context": "<answer> (45 + 75) </answer>", "end_line": 25, "start_line": 24}, {"answer": "(45 + 75)", "context": "<answer> (45 + 75) </answer>", "end_line": 39, "start_line": 38}, {"answer": "(45 + 75)", "context": "<answer> (45 + 75) </answer>", "end_line": 69, "start_lin... | [{"answer_block": "['(45 + 75)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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[
"(45 + 75)",
"(45 + 75)",
"(45 + 75)",
"(45 + 75)",
"(45 + 75)",
"(45 + 75)",
"\\( 45 + 75 = 120 \\)",
"(45 + 75)",
"['(45 + 75)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "(45 + 75)", "context": "<answer> (45 + 75) </answer>", "end_line": 25, "end_pos": 703, "start_line": 24, "start_pos": 683}, {"answer": "(45 + 75)", "context": "<answer> (45 + 75) </answer>", "end_line": 39... | [{"value": "[{'answer_block': '(45 + 75)', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 120.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': '(45 + 75)', 'comparison_type': None, 'correct_answer': None... | {
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... | 2025-09-10 |
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 this problem, we need to combine the given numbers [62, 14] using addition, subtraction, multiplication, and division to get the target number 868. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start by adding the two numbers together.\n\\[ 62 + 14 = 76 \\... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
] | [
"['\\( 62 + 14 + 792 = 868 \\)']"
] | {"all_spans_summary": [{"answer": "No valid equation exists.", "context": "<answer> No valid equation exists.", "end_line": 24, "start_line": 24}, {"answer": "(62 * 14)", "context": "<answer> (62 * 14)", "end_line": 52, "start_line": 52}, {"answer": "\\( 62 \\times 14 = 868 \\)", "context": "<answer> \\( 62 \\times 14 ... | [{"answer_block": "['\\( 62 + 14 + 792 = 868 \\)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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] | [
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"No valid equation exists.",
"(62 * 14)",
"\\( 62 \\times 14 = 868 \\)",
"\\( 62 + 14 \\times 12 - 14 = 868 \\)",
"\\( 62 + 14 + 792 = 868 \\)",
"['\\( 62 + 14 + 792 = 868 \\)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "No valid equation exists.", "context": "<answer> No valid equation exists.", "end_line": 24, "end_pos": 1482, "start_line": 24, "start_pos": 1456}, {"answer": "(62 * 14)", "context": "<answer> (62 * 14)", ... | [{"value": "[{'answer_block': 'No valid equation exists.', '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)', 'com... | {
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... | 2025-09-10 |
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 this problem, we need to use the numbers 87 and 6 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 522. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start by trying different combinations of ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
] | [
"['(87 * 6)']"
] | {"all_spans_summary": [{"answer": "\\( (87 - 6) \\times 6 + 36 = 522 \\)", "context": "line 30, final answer equation", "end_line": 30, "start_line": 30}, {"answer": "(87 * 6)", "context": "line 56, final answer equation", "end_line": 56, "start_line": 56}, {"answer": "(87 * 6)", "context": "line 85, final answer equat... | [{"answer_block": "['(87 * 6)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
false,
true,
true,
false,
false,
true,
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] | [
[
"\\( (87 - 6) \\times 6 + 36 = 522 \\)",
"(87 * 6)",
"(87 * 6)",
"\\( 87 \\times 6 = 522 \\)",
"\\( 87 \\times 6 = 522 \\)",
"(87 * 6)",
"['(87 * 6)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( (87 - 6) \\times 6 + 36 = 522 \\)", "context": "line 30, final answer equation", "end_line": 30, "end_pos": 973, "start_line": 30, "start_pos": 938}, {"answer": "(87 * 6)", "context": "line 56, final a... | [{"value": "[{'answer_block': '\\\\( (87 - 6) \\\\times 6 + 36 = 522 \\\\)', '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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2
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0
... | 2025-09-10 |
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 this problem, we need to use the numbers 90 and 66 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 156. Let's explore different combinations:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 90 and 66.\n\\[ 90 \\times ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
] | [
"['(90 + 66)']"
] | {"all_spans_summary": [{"answer": "(90 + 66)", "context": "<answer> (90 + 66) </answer>", "end_line": 28, "start_line": 27}, {"answer": "(90 + 66)", "context": "<answer> (90 + 66) </answer>", "end_line": 64, "start_line": 63}, {"answer": "(90 + 66)", "context": "<answer> (90 + 66) </answer>", "end_line": 111, "start_li... | [{"answer_block": "['(90 + 66)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true,
true,
true,
false
]
] | [
[
"(90 + 66)",
"(90 + 66)",
"(90 + 66)",
"(90 + 66)",
"(90 + 66)",
"['(90 + 66)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "(90 + 66)", "context": "<answer> (90 + 66) </answer>", "end_line": 28, "end_pos": 696, "start_line": 27, "start_pos": 676}, {"answer": "(90 + 66)", "context": "<answer> (90 + 66) </answer>", "end_line": 64... | [{"value": "[{'answer_block': '(90 + 66)', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 156.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': '(90 + 66)', 'comparison_type': None, 'correct_answer': None... | {
"flips_by": [
1
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"num_correct": 0,
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0
... | 2025-09-10 |
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 this problem, we need to use the numbers 17 and 92 exactly once and combine them using addition, subtraction, multiplication, and division to get the target number 109.\n\nHere’s how we can approach it:\n\n1. **Identify the goal**: We want to achieve the result of 109.\n2. **Consider po... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:50045/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_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "prom... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-skillfactory_sft_countdown_3arg_promptvariants_qrepeat3_reflections5-sft", "n_responses": 1} | [
false
] | [
"['\\( 17 + 92 = 109 \\)']"
] | {"all_spans_summary": [{"answer": "\\( 92 - 17 + 34 \\)", "context": "Therefore, the final answer is:", "end_line": 27, "start_line": 27}, {"answer": "\\( 92 + 17 = 109 \\)", "context": "This works perfectly! So, our final equation is:", "end_line": 66, "start_line": 66}, {"answer": "\\( 17 + 92 = 109 \\)", "context": ... | [{"answer_block": "['\\( 17 + 92 = 109 \\)']", "comparison_type": null, "correct_answer": null, "error": "Could not evaluate expression", "evaluation_method": null, "extracted_answer": null, "final_answer": null, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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[
"\\( 92 - 17 + 34 \\)",
"\\( 92 + 17 = 109 \\)",
"\\( 17 + 92 = 109 \\)",
"\\( 17 + 92 = 109 \\)",
"\\( 17 + 92 = 109 \\)",
"\\( 17 + 92 = 109 \\)",
"['\\( 17 + 92 = 109 \\)']"
]
] | {"empty_response": false, "error": null, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "\\( 92 - 17 + 34 \\)", "context": "Therefore, the final answer is:", "end_line": 27, "end_pos": 1019, "start_line": 27, "start_pos": 1000}, {"answer": "\\( 92 + 17 = 109 \\)", "context": "This works perfec... | [{"value": "[{'answer_block': '\\\\( 92 - 17 + 34 \\\\)', 'comparison_type': None, 'correct_answer': None, 'error': 'Could not evaluate expression', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': None, 'is_correct': False, 'is_equivalent': None, 'method': None}, {'answer_block': '\\\\( 92 + 17 = 1... | {
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0
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"num_correct": 0,
"pass_at_n": null,
"percent_correct": null,
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0
... | 2025-09-10 |
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