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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>\n\nTo solve this problem, we need to use the numbers [73, 48] and the arithmetic operations (+, -, *, /) to reach the target number 121.\n\nStep 1: First, let's try adding 73 and 48.\n73 + 48 = 121\n\nStep 2: The result is 121, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 73 + ... | [
false
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""
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true
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"48 + 73"
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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>\n\nTo solve this problem, we need to use the numbers [14, 54] and the arithmetic operations (+, -, *, /) to reach the target number 756.\n\nStep 1: First, let's try adding 14 and 54.\n14 + 54 = 68\n\nStep 2: Now, we need to multiply the result by 10.\n68 * 10 = 680\n\nStep 3: We need to add 76 to... | [
false
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""
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true
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"14*54"
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"Step 1: 14 + 54 = 68\nStep 2: 68 * 10 = 680\nStep 3: 680 + 76 = 756",
"Step 1: 54 * 14 = 756",
"14*54"
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] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 14 + 54 = 68\nStep 2: 68 * 10 = 680\nStep 3: 680 + 76 = 756", "context": "<answer> Step 1: 14 + 54 = 68 ... 680 + 76 = 756 </answer>", "end_line": 23, "end_pos": 515, "start_line": 21, "start_pos": 449}, {"answer... | [{"value": "[{'answer_block': 'Step 1: 14 + 54 = 68\\nStep 2: 68 * 10 = 680\\nStep 3: 680 + 76 = 756', 'comparison_type': None, 'correct_answer': None, 'error': 'Line uses unavailable numbers: Step 2: 68 * 10 = 680', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 680.0, 'is_correct': False, 'is_eq... | {
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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>\n\nTo solve this problem, we need to use the numbers [40, 70] and the arithmetic operations (+, -, *, /) to reach the target number 110.\n\nStep 1: First, let's try adding 40 and 70.\n40 + 70 = 110\n\nThis equation uses all the numbers exactly once and results in the target number 110.\n\nFinal a... | [
false
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""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
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"70 + 40"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [30, 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>\n\nTo solve this problem, we need to use the numbers [30, 31] and the arithmetic operations (+, -, *, /) to reach the target number 930.\n\nStep 1: First, let's try adding 30 and 31.\n30 + 31 = 61\n\nStep 2: Now, we need to multiply the result by 15.\n61 * 15 = 915\n\nStep 3: The result is 915, w... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
false
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"31*(30 - 31)"
] | {"all_spans_summary": [{"answer": "Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930", "context": "<answer> with stepwise solution", "end_line": 29, "start_line": 26}, {"answer": "Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930", "context": "<answer> repeated stepwise solution", "end_line": 74, "start_line": 71}, {"answer": "31*... | [{"answer_block": "31*(30 - 31)", "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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"Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930",
"Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930",
"31*(30 - 31)"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930", "context": "<answer> with stepwise solution", "end_line": 29, "end_pos": 664, "start_line": 26, "start_pos": 602}, {"answer": "Step 1: 30 - 31 = -1\nStep 2: -1 * 31 = 930", "... | [{"value": "[{'answer_block': 'Step 1: 30 - 31 = -1\\nStep 2: -1 * 31 = 930', 'comparison_type': None, 'correct_answer': None, 'error': 'Incorrect arithmetic in line: Step 2: -1 * 31 = 930', 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 930.0, 'is_correct': False, 'is_equivalent': None, 'method':... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [25, 78] and the arithmetic operations (+, -, *, /) to reach the target number 103.\n\nStep 1: First, let's try adding 25 and 78.\n25 + 78 = 103\n\nThis equation uses all the numbers exactly once and results in the target number 103.\n\nFinal a... | [
false
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""
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true
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"78 + 25"
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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>\n\nTo solve this problem, we need to use the numbers [85, 76] and the arithmetic operations (+, -, *, /) to reach the target number 161.\n\nStep 1: First, let's try adding 85 and 76.\n85 + 76 = 161\n\nStep 2: The result is 161, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 85 + ... | [
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 [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>\n\nTo solve this problem, we need to use the numbers [45, 75] and the arithmetic operations (+, -, *, /) to reach the target number 120.\n\nStep 1: First, let's try adding 45 and 75.\n45 + 75 = 120\n\nSo, the final answer is:\n<answer>\nStep 1: 45 + 75 = 120\n</answer>\n\n</sample>\n\n\n\n<reflec... | [
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""
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true
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"75 + 45"
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"Step 1: 45 + 75 = 120",
"Step 1: 45 + 75 = 120",
"75 + 45"
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [62, 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>\n\nTo solve this problem, we need to use the numbers [62, 14] and the arithmetic operations (+, -, *, /) to reach the target number 868.\n\nStep 1: First, let's try adding 62 and 14.\n62 + 14 = 76\n\nStep 2: Now, we need to add 76 to another number to reach 868. Let's add 792 to 76.\n76 + 792 = 8... | [
false
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""
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false
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"12*(62 + 14)"
] | {"all_spans_summary": [{"answer": "Step 1: 62 + 14 = 76\nStep 2: 76 + 792 = 868", "context": "<answer> Step 1: 62 + 14 = 76 Step 2: 76 + 792 = 868 </answer>", "end_line": 17, "start_line": 16}, {"answer": "Step 1: 62 + 14 = 76\nStep 2: 76 * 12 = 868", "context": "<answer> Step 1: 62 + 14 = 76 Step 2: 76 * 12 = 868 </an... | [{"answer_block": "12*(62 + 14)", "comparison_type": null, "correct_answer": null, "error": "Expression does not equal stated result", "evaluation_method": null, "extracted_answer": null, "final_answer": 868.0, "is_correct": false, "is_equivalent": null, "method": null, "reason": null}] | [
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"Step 1: 62 + 14 = 76\nStep 2: 76 + 792 = 868",
"Step 1: 62 + 14 = 76\nStep 2: 76 * 12 = 868",
"12*(62 + 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 [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 | [
""
] | [
false
] | [
""
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false
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null
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[]
] | [
[]
] | {"empty_response": true, "extraction_method": "llm_judge", "internal_spans_detailed": [], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [], "total_internal_spans": 0, "total_spans": 0} | [{"value": "[]"}] | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [90, 66] and the arithmetic operations (+, -, *, /) to reach the target number 156.\n\nStep 1: First, let's try adding 90 and 66.\n90 + 66 = 156\n\nStep 2: The result is 156, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 90 + ... | [
false
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""
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true
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"66 + 90"
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true
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"Step 1: 90 + 66 = 156",
"Step 1: 90 + 66 = 156",
"66 + 90"
]
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [17, 92] and the arithmetic operations (+, -, *, /) to reach the target number 109.\n\nStep 1: First, let's try adding 17 and 92.\n17 + 92 = 109\n\nThis equation uses all the numbers exactly once and results in the target number 109.\n\nFinal a... | [
false
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""
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true
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"92 + 17"
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"Step 1: 17 + 92 = 109",
"Step 1: 17 + 92 = 109",
"92 + 17"
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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 [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>\n\nTo solve this problem, we need to use the numbers [32, 20] and the arithmetic operations (+, -, *, /) to reach the target number 640.\n\nStep 1: First, let's try adding 32 and 20.\n32 + 20 = 52\n\nStep 2: Now, we need to multiply the result by 12.\n52 * 12 = 624\n\nStep 3: The result is 624, w... | [
false
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""
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] | [
"20*32"
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"Step 1: 32 * 20 = 640",
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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 [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>\n\nTo solve this problem, we need to use the numbers [74, 51] and the arithmetic operations (+, -, *, /) to reach the target number 125.\n\nStep 1: First, let's try adding 74 and 51.\n74 + 51 = 125\n\nStep 2: The result is 125, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 74 + ... | [
false
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""
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true
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"51 + 74"
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[
"Step 1: 74 + 51 = 125",
"Step 1: 74 + 51 = 125",
"51 + 74"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 74 + 51 = 125", "context": "Final answer:", "end_line": 14, "end_pos": 322, "start_line": 13, "start_pos": 290}, {"answer": "Step 1: 74 + 51 = 125", "context": "Final answer:", "end_line": 44, "end_pos": 731, "st... | [{"value": "[{'answer_block': 'Step 1: 74 + 51 = 125', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 125.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 74 + 51 = 125', 'comparison_type': None... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [80, 7] and the arithmetic operations (+, -, *, /) to reach the target number 560.\n\nStep 1: First, let's try adding 80 and 7.\n80 + 7 = 87\n\nStep 2: Now, we need to multiply the result by 80.\n87 * 80 = 6960\n\nStep 3: The result is 6960, wh... | [
false
] | [
""
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true
] | [
"7*80"
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true,
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true
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[
"Step 1: 80 * 7 = 560",
"Step 10: 80 * 7 = 560",
"7*80"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 80 * 7 = 560", "context": "<answer> Step 1: 80 * 7 = 560 </answer>", "end_line": 30, "end_pos": 757, "start_line": 29, "start_pos": 726}, {"answer": "Step 10: 80 * 7 = 560", "context": "<answer> Step 10: 80 * 7 =... | [{"value": "[{'answer_block': 'Step 1: 80 * 7 = 560', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 560.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 10: 80 * 7 = 560', 'comparison_type': None,... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [73, 80] and the arithmetic operations (+, -, *, /) to reach the target number 153.\n\nStep 1: First, let's try adding 73 and 80.\n73 + 80 = 153\n\nThis equation uses all the numbers exactly once and results in the target number 153.\n\nFinal a... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
true
] | [
"80 + 73"
] | {"all_spans_summary": [{"answer": "Step 1: 73 + 80 = 153", "context": "<answer> Step 1: 73 + 80 = 153 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 73 + 80 = 153", "context": "<answer> Step 1: 73 + 80 = 153 </answer>", "end_line": 44, "start_line": 43}, {"answer": "80 + 73", "context": "<answer> 80... | [{"answer_block": "80 + 73", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 153.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
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] | [
[
"Step 1: 73 + 80 = 153",
"Step 1: 73 + 80 = 153",
"80 + 73"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 73 + 80 = 153", "context": "<answer> Step 1: 73 + 80 = 153 </answer>", "end_line": 14, "end_pos": 375, "start_line": 13, "start_pos": 343}, {"answer": "Step 1: 73 + 80 = 153", "context": "<answer> Step 1: 73 + 80... | [{"value": "[{'answer_block': 'Step 1: 73 + 80 = 153', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 153.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 73 + 80 = 153', 'comparison_type': None... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [27, 84] and the arithmetic operations (+, -, *, /) to reach the target number 111.\n\nStep 1: First, let's try adding 27 and 84.\n27 + 84 = 111\n\nThis equation uses all the numbers exactly once and results in the target number 111.\n\nFinal a... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
true
] | [
"84 + 27"
] | {"all_spans_summary": [{"answer": "Step 1: 27 + 84 = 111", "context": "lines 12-14 with <answer> tags", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 27 + 84 = 111", "context": "lines 42-44 with <answer> tags", "end_line": 44, "start_line": 43}, {"answer": "84 + 27", "context": "line 53-55 with <answer> tags",... | [{"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}] | [
[
true,
true,
true
]
] | [
[
"Step 1: 27 + 84 = 111",
"Step 1: 27 + 84 = 111",
"84 + 27"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 27 + 84 = 111", "context": "lines 12-14 with <answer> tags", "end_line": 14, "end_pos": 375, "start_line": 13, "start_pos": 343}, {"answer": "Step 1: 27 + 84 = 111", "context": "lines 42-44 with <answer> tags", "... | [{"value": "[{'answer_block': 'Step 1: 27 + 84 = 111', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 111.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 27 + 84 = 111', 'comparison_type': None... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [66, 55] and the arithmetic operations (+, -, *, /) to reach the target number 121.\n\nStep 1: First, let's try adding 66 and 55.\n66 + 55 = 121\n\nStep 2: The result is 121, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 66 + ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
true
] | [
"55 + 66"
] | {"all_spans_summary": [{"answer": "Step 1: 66 + 55 = 121", "context": "Final answer:", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 66 + 55 = 121", "context": "Final answer:", "end_line": 44, "start_line": 43}, {"answer": "55 + 66", "context": "The final answer is:", "end_line": 55, "start_line": 54}], "empty... | [{"answer_block": "55 + 66", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 121.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
]
] | [
[
"Step 1: 66 + 55 = 121",
"Step 1: 66 + 55 = 121",
"55 + 66"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 66 + 55 = 121", "context": "Final answer:", "end_line": 14, "end_pos": 322, "start_line": 13, "start_pos": 290}, {"answer": "Step 1: 66 + 55 = 121", "context": "Final answer:", "end_line": 44, "end_pos": 731, "st... | [{"value": "[{'answer_block': 'Step 1: 66 + 55 = 121', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 121.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 66 + 55 = 121', 'comparison_type': None... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [66, 47] and the arithmetic operations (+, -, *, /) to reach the target number 113.\n\nStep 1: First, let's try adding 66 and 47.\n66 + 47 = 113\n\nStep 2: The result is 113, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 66 + ... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
true
] | [
"47 + 66"
] | {"all_spans_summary": [{"answer": "Step 1: 66 + 47 = 113", "context": "Final answer:", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 66 + 47 = 113", "context": "Final answer:", "end_line": 44, "start_line": 43}, {"answer": "47 + 66", "context": "The final answer is:", "end_line": 55, "start_line": 54}], "empty... | [{"answer_block": "47 + 66", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 113.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
]
] | [
[
"Step 1: 66 + 47 = 113",
"Step 1: 66 + 47 = 113",
"47 + 66"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 66 + 47 = 113", "context": "Final answer:", "end_line": 14, "end_pos": 322, "start_line": 13, "start_pos": 290}, {"answer": "Step 1: 66 + 47 = 113", "context": "Final answer:", "end_line": 44, "end_pos": 731, "st... | [{"value": "[{'answer_block': 'Step 1: 66 + 47 = 113', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 113.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 66 + 47 = 113', 'comparison_type': None... | {
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... | 2025-08-14 |
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>\n\nTo solve this problem, we need to use the numbers [75, 91] and the arithmetic operations (+, -, *, /) to reach the target number 166.\n\nStep 1: First, let's try adding 75 and 91.\n75 + 91 = 166\n\nThis equation uses all the numbers exactly once and results in the target number 166.\n\nFinal a... | [
false
] | [
""
] | {"api_url": "http://127.0.0.1:33133", "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-sft1e-6_ppo_countdown3arg_format0.3-rl", "prompt": [{"content": "Answer the followi... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-sft1e-6_ppo_countdown3arg_format0.3-rl", "n_responses": 1} | [
true
] | [
"91 + 75"
] | {"all_spans_summary": [{"answer": "Step 1: 75 + 91 = 166", "context": "<answer> Step 1: 75 + 91 = 166 </answer>", "end_line": 14, "start_line": 13}, {"answer": "Step 1: 75 + 91 = 166", "context": "<answer> Step 1: 75 + 91 = 166 </answer>", "end_line": 44, "start_line": 43}, {"answer": "91 + 75", "context": "<answer> 91... | [{"answer_block": "91 + 75", "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": null, "extracted_answer": null, "final_answer": 166.0, "is_correct": true, "is_equivalent": null, "method": null, "reason": null}] | [
[
true,
true,
true
]
] | [
[
"Step 1: 75 + 91 = 166",
"Step 1: 75 + 91 = 166",
"91 + 75"
]
] | {"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 75 + 91 = 166", "context": "<answer> Step 1: 75 + 91 = 166 </answer>", "end_line": 14, "end_pos": 375, "start_line": 13, "start_pos": 343}, {"answer": "Step 1: 75 + 91 = 166", "context": "<answer> Step 1: 75 + 91... | [{"value": "[{'answer_block': 'Step 1: 75 + 91 = 166', 'comparison_type': None, 'correct_answer': None, 'error': None, 'evaluation_method': None, 'extracted_answer': None, 'final_answer': 166.0, 'is_correct': True, 'is_equivalent': None, 'method': None}, {'answer_block': 'Step 1: 75 + 91 = 166', 'comparison_type': None... | {
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... | 2025-08-14 |
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 | [
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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 [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37 + 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 [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6106, \"numbers\": [37, 87], \"target\": 124, \"expression\": \"37 + 87\"}"} | test | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6106, "numbers": [37, 87], "target": 124, "expression": "37 + 87"} | null | null | null | null | null | [
"<think>\n<sample>\n\nTo solve this problem, we need to use the numbers [37, 87] and the arithmetic operations (+, -, *, /) to reach the target number 124.\n\nStep 1: First, let's try adding 37 and 87.\n37 + 87 = 124\n\nStep 2: The result is 124, which is our target number.\n\nFinal answer:\n<answer>\nStep 1: 37 + ... | [
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"87 + 37"
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... | 2025-08-14 |
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