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model_responses__best_of_n_atags__eval_evaluation_metadata
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213 x 276
58788
longmult_3dig
longmult
[ { "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\nWhat is the solution to the multiplication equation below?\n213 x 276\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 213, \"arg2\": 276, \"solution\": 58788}", "task_source": "longmult"}
test
null
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{"arg1": 213, "arg2": 276, "solution": 58788}
null
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null
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null
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 213 \\times 276 \\), we will break it down into simpler steps:\n\n### Step 1: Multiply 213 by 200\n\\[ 213 \\times 200 = 42600 \\]\n\n### Step 2: Multiply 213 by 70 (which is 276 - 200)\n\\[ 213 \\times 70 = 15010 \\]\n\n### Step 3: Add the results from S...
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{"api_url": "http://127.0.0.1:58243/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "prompt": [{"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\nWhat is the solution to the multiplication equation below?\n213 x 276\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the numerical solution to the problem.\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "n_responses": 4}
[ false, true, false, true ]
[ "16188", "58788", "58488", "58788" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 4745, "span_end": 4752, "original_span": "16188"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 801, "span_end": 808, "original_span": "58788"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 2446, "span_end": 2453, "original_span": "58488"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 944, "span_end": 951, "original_span": "58788"}]
[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}]
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[ [ "57610", "57510", "16188" ], [ "58788", "58788" ], [ "27690", "58488" ], [ "58788", "58788" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 435, "span_text": "57610", "extraction_type": "internal", "span_start": 435, "span_end": 442, "original_span": "57610"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3468, "span_text": "57510", "extraction_type": "internal", "span_start": 3468, "span_end": 3475, "original_span": "57510"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 4745, "span_text": "16188", "extraction_type": "internal", "span_start": 4745, "span_end": 4752, "original_span": "16188"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 617, "span_text": "58788", "extraction_type": "internal", "span_start": 617, "span_end": 624, "original_span": "58788"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 801, "span_text": "58788", "extraction_type": "internal", "span_start": 801, "span_end": 808, "original_span": "58788"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 945, "span_text": "27690", "extraction_type": "internal", "span_start": 945, "span_end": 952, "original_span": "27690"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2446, "span_text": "58488", "extraction_type": "internal", "span_start": 2446, "span_end": 2453, "original_span": "58488"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 760, "span_text": "58788", "extraction_type": "internal", "span_start": 760, "span_end": 767, "original_span": "58788"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 944, "span_text": "58788", "extraction_type": "internal", "span_start": 944, "span_end": 951, "original_span": "58788"}]]
[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}]]
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 2, "pass_at_n": 1, "percent_correct": 0.5, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 4, 1, 2, 1 ], "reflect_open": [ 4, 1, 2, 1 ], "reflection_sbon": [ 0, 0, 0, 0 ], "sample_close": [ 4, 1, 2, 1 ], "sample_open": [ 4, 1, 2, 1 ], "vote_close": [ 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0 ] }, "total_responses": 4 }
2025-09-24
[ { "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\nWhat is the solution to the multiplication equation below?\n213 x 276\n\nGive your answer in the following format:\n<answer>\n(yo...
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 213 \\times 276 \\), we will break it down into simpler steps:\n\n### Step 1: Multiply 213 by 200\n\\[ 213 \\times 200 = 42600 \\]\n\n### Step 2: Multiply 213 by 70 (which is 276 - 200)\n\\[ 213 \\times 70 = 15010 \\]\n\n### Step 3: Add the results from S...
[ false ]
[ "57610" ]
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 435, "span_end": 442, "original_span": "57610"}]
[{"evaluation_method": "legacy", "legacy_result": false}]
[ [ false ] ]
[ [ "57610" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 435, "span_text": "57610", "extraction_type": "internal", "span_start": 435, "span_end": 442, "original_span": "57610"}]]
[[{"evaluation_method": "legacy", "legacy_result": false}]]
{ "flips_by": [ 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": null, "percent_correct": null, "skill_count": { "answer_revision": [ 0 ], "best_of_n": [ 0 ], "reflect_close": [ 0 ], "reflect_open": [ 0 ], "reflection_sbon": [ 0 ], "sample_close": [ 0 ], "sample_open": [ 1 ], "vote_close": [ 0 ], "vote_open": [ 0 ], "voting": [ 0 ] }, "total_responses": 1 }
[ "Let us verify this answer: First, \\( 213 \\times 276 = 58988 \\). The calculated result does not match our initial response of 57610. Therefore, there seems to be an error.\n<verdict>\nIncorrect\n</verdict>\n", "Let us verify this answer: First, \\( 213 \\times 276 = 58596 \\). The calculated result does not ma...
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{ "api_url": "http://127.0.0.1:62450", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 8, "repetition_penalty": 1.1, "stop": [ "<sample>", "</reflect>", "</think>" ], "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "prompt": [ { "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\nWhat is the solution to the multiplication equation below?\n213 x 276\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the numerical solution to the problem.\n\nLet's think step by step.", "role": "user" }, { "content": "<think>\n<sample>\nTo solve the multiplication equation \\( 213 \\times 276 \\), we will break it down into simpler steps:\n\n### Step 1: Multiply 213 by 200\n\\[ 213 \\times 200 = 42600 \\]\n\n### Step 2: Multiply 213 by 70 (which is 276 - 200)\n\\[ 213 \\times 70 = 15010 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 42600 + 15010 = 57610 \\]\n\nTherefore, the product of \\( 213 \\times 276 \\) is \\( 57610 \\).\n\nSo, the final answer is:\n<answer>\n57610\n</answer>\n</sample>\n<reflect>\n", "role": "assistant" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "n_responses": 64 }
[ [ 1, 11 ], [ 27, 25 ] ]
756 x 546
412776
longmult_3dig
longmult
[ { "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\nWhat is the solution to the multiplication equation below?\n756 x 546\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 756, \"arg2\": 546, \"solution\": 412776}", "task_source": "longmult"}
test
null
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null
{"arg1": 756, "arg2": 546, "solution": 412776}
null
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null
null
null
null
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 756 \\times 546 \\), we will follow these steps:\n\n1. **Multiply the hundreds place of both numbers:**\n - Multiply 700 (which is \\( 756 \\) hundred) by 500 (which is \\( 546 \\) hundred):\n \\[\n 700 \\times 500 = 350000\n \\]\n\n2. **Mul...
[ false, false, false, false ]
[ "", "", "", "" ]
{"api_url": "http://127.0.0.1:58243/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 4, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "prompt": [{"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\nWhat is the solution to the multiplication equation below?\n756 x 546\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the numerical solution to the problem.\n\nLet's think step by step.", "role": "user"}]}
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "n_responses": 4}
[ true, false, true, true ]
[ "412776", "413776", "412776", "412776" ]
[{"extraction_type": "final", "total_spans_found": 3, "non_overlapping_spans": 3, "span_start": 2178, "span_end": 2186, "original_span": "412776"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1243, "span_end": 1251, "original_span": "413776"}, {"extraction_type": "final", "total_spans_found": 4, "non_overlapping_spans": 4, "span_start": 3185, "span_end": 3193, "original_span": "412776"}, {"extraction_type": "final", "total_spans_found": 2, "non_overlapping_spans": 2, "span_start": 1682, "span_end": 1690, "original_span": "412776"}]
[{"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}]
[ [ false, true, true ], [ false ], [ false, true, true, true ], [ true, true ] ]
[ [ "703300", "412776", "412776" ], [ "413776" ], [ "680400", "412776", "412776", "412776" ], [ "412776", "412776" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1129, "span_text": "703300", "extraction_type": "internal", "span_start": 1129, "span_end": 1137, "original_span": "703300"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1992, "span_text": "412776", "extraction_type": "internal", "span_start": 1992, "span_end": 2000, "original_span": "412776"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2178, "span_text": "412776", "extraction_type": "internal", "span_start": 2178, "span_end": 2186, "original_span": "412776"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1243, "span_text": "413776", "extraction_type": "internal", "span_start": 1243, "span_end": 1251, "original_span": "413776"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 422, "span_text": "680400", "extraction_type": "internal", "span_start": 422, "span_end": 430, "original_span": "680400"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2323, "span_text": "412776", "extraction_type": "internal", "span_start": 2323, "span_end": 2331, "original_span": "412776"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 2868, "span_text": "412776", "extraction_type": "internal", "span_start": 2868, "span_end": 2876, "original_span": "412776"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 3185, "span_text": "412776", "extraction_type": "internal", "span_start": 3185, "span_end": 3193, "original_span": "412776"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1496, "span_text": "412776", "extraction_type": "internal", "span_start": 1496, "span_end": 1504, "original_span": "412776"}, {"pattern_used": "answer tag", "confidence": 1.0, "position": 1682, "span_text": "412776", "extraction_type": "internal", "span_start": 1682, "span_end": 1690, "original_span": "412776"}]]
[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}], [{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}], [{"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": true}]]
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 3, "pass_at_n": 1, "percent_correct": 0.75, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 2, 1, 3, 1 ], "reflect_open": [ 2, 1, 3, 1 ], "reflection_sbon": [ 0, 0, 0, 0 ], "sample_close": [ 2, 1, 3, 1 ], "sample_open": [ 2, 1, 3, 1 ], "vote_close": [ 0, 0, 0, 0 ], "vote_open": [ 0, 0, 0, 0 ], "voting": [ 0, 0, 0, 0 ] }, "total_responses": 4 }
2025-09-24
[ { "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\nWhat is the solution to the multiplication equation below?\n756 x 546\n\nGive your answer in the following format:\n<answer>\n(yo...
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 756 \\times 546 \\), we will follow these steps:\n\n1. **Multiply the hundreds place of both numbers:**\n - Multiply 700 (which is \\( 756 \\) hundred) by 500 (which is \\( 546 \\) hundred):\n \\[\n 700 \\times 500 = 350000\n \\]\n\n2. **Mul...
[ false ]
[ "703300" ]
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1129, "span_end": 1137, "original_span": "703300"}]
[{"evaluation_method": "legacy", "legacy_result": false}]
[ [ false ] ]
[ [ "703300" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1129, "span_text": "703300", "extraction_type": "internal", "span_start": 1129, "span_end": 1137, "original_span": "703300"}]]
[[{"evaluation_method": "legacy", "legacy_result": false}]]
{ "flips_by": [ 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": null, "percent_correct": null, "skill_count": { "answer_revision": [ 0 ], "best_of_n": [ 0 ], "reflect_close": [ 0 ], "reflect_open": [ 0 ], "reflection_sbon": [ 0 ], "sample_close": [ 0 ], "sample_open": [ 1 ], "vote_close": [ 0 ], "vote_open": [ 0 ], "voting": [ 0 ] }, "total_responses": 1 }
[ "Let us verify this answer: First, \\( 756 \\times 546 = 410976 \\). The calculated result does not match our initial response of 703300. Therefore, there seems to be an error.\n<verdict>\nIncorrect\n</verdict>\n", "Let us verify this answer: First, \\( 756 \\times 546 = 410976 \\). The correct answer should be 4...
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[ "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", ...
{ "api_url": "http://127.0.0.1:62450", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 8, "repetition_penalty": 1.1, "stop": [ "<sample>", "</reflect>", "</think>" ], "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "prompt": [ { "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\nWhat is the solution to the multiplication equation below?\n756 x 546\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the numerical solution to the problem.\n\nLet's think step by step.", "role": "user" }, { "content": "<think>\n<sample>\nTo solve the multiplication equation \\( 756 \\times 546 \\), we will follow these steps:\n\n1. **Multiply the hundreds place of both numbers:**\n - Multiply 700 (which is \\( 756 \\) hundred) by 500 (which is \\( 546 \\) hundred):\n \\[\n 700 \\times 500 = 350000\n \\]\n\n2. **Multiply the tens place of the first number by the ones place of the second number:**\n - Multiply 50 (which is \\( 756 \\) ten) by 6 (which is \\( 546 \\) one):\n \\[\n 50 \\times 6 = 300\n \\]\n\n3. **Multiply the hundreds place of the first number by the tens place of the second number:**\n - Multiply 500 (which is \\( 756 \\) hundred) by 40 (which is \\( 546 \\) ten):\n \\[\n 500 \\times 40 = 20000\n \\]\n\n4. **Multiply the thousands place of the first number by the thousands place of the second number:**\n - Multiply 700 (which is \\( 756 \\) thousand) by 500 (which is \\( 546 \\) thousand):\n \\[\n 700 \\times 500 = 350000\n \\]\n\n5. **Add all the products together:**\n \\[\n 350000 + 300 + 20000 + 350000 = 703300\n \\]\n\nTherefore, the product of \\( 756 \\times 546 \\) is \\( 703300 \\).\n\nThe final answer is:\n<answer>\n703300\n</answer>\n</sample>\n<reflect>\n", "role": "assistant" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "n_responses": 64 }
[ [ 2, 14 ], [ 41, 7 ] ]
353 x 648
228744
longmult_3dig
longmult
[ { "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\nWhat is the solution to the multiplication equation below?\n353 x 648\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 353, \"arg2\": 648, \"solution\": 228744}", "task_source": "longmult"}
test
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null
{"arg1": 353, "arg2": 648, "solution": 228744}
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null
null
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 353 \\times 648 \\), we will break it down into simpler steps:\n\n### Step 1: Multiply 353 by 600\nFirst, let's multiply 353 by 600:\n\\[ 353 \\times 600 = 211800 \\]\n\n### Step 2: Multiply 353 by 48\nNext, let's multiply 353 by 48:\n\\[ 353 \\times 48 =...
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2025-09-24
[ { "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\nWhat is the solution to the multiplication equation below?\n353 x 648\n\nGive your answer in the following format:\n<answer>\n(yo...
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 353 \\times 648 \\), we will break it down into simpler steps:\n\n### Step 1: Multiply 353 by 600\nFirst, let's multiply 353 by 600:\n\\[ 353 \\times 600 = 211800 \\]\n\n### Step 2: Multiply 353 by 48\nNext, let's multiply 353 by 48:\n\\[ 353 \\times 48 =...
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[ "228804" ]
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[ "Let us verify this answer: First, \\( 353 \\times 648 = 228804 \\). The calculation is correct.\n", "Let us verify this answer: First, \\( 353 \\times 648 = 228804 \\). The calculation is correct.\n", "Let us verify this answer: First, \\( 353 \\times 648 = 228804 \\). The calculation is correct.\n", "Let us...
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[ [ 63, 0 ], [ 1, 0 ] ]
809 x 407
329263
longmult_3dig
longmult
[ { "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\nWhat is the solution to the multiplication equation below?\n809 x 407\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 809, \"arg2\": 407, \"solution\": 329263}", "task_source": "longmult"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 809, "arg2": 407, "solution": 329263}
null
null
null
null
null
null
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 809 \\times 407 \\), we will follow these steps:\n\n1. **Multiply the numbers without considering the decimal points**:\n \\[\n 809 \\times 407 = 329603\n \\]\n\n2. **Count the total number of digits after the decimal points in the original numbers*...
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[ "329603", "329263", "330263", "329653" ]
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2025-09-24
[ { "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\nWhat is the solution to the multiplication equation below?\n809 x 407\n\nGive your answer in the following format:\n<answer>\n(yo...
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 809 \\times 407 \\), we will follow these steps:\n\n1. **Multiply the numbers without considering the decimal points**:\n \\[\n 809 \\times 407 = 329603\n \\]\n\n2. **Count the total number of digits after the decimal points in the original numbers*...
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[ [ false ] ]
[ [ "329603" ] ]
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[ "Let us verify this answer: First, 809 * 407 = 329603. The answer is correct.\n", "Let us verify this answer: First, \\( 809 \\times 407 = 329603 \\). The calculation is correct.\n", "Let us verify this answer: First, 809 * 407 = 329603. The answer is correct.\n", "Let us verify this answer: First, 809 * 407 ...
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{ "api_url": "http://127.0.0.1:62450", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 8, "repetition_penalty": 1.1, "stop": [ "<sample>", "</reflect>", "</think>" ], "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150", "prompt": [ { "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\nWhat is the solution to the multiplication equation below?\n809 x 407\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the numerical solution to the problem.\n\nLet's think step by step.", "role": "user" }, { "content": "<think>\n<sample>\nTo solve the multiplication equation \\( 809 \\times 407 \\), we will follow these steps:\n\n1. **Multiply the numbers without considering the decimal points**:\n \\[\n 809 \\times 407 = 329603\n \\]\n\n2. **Count the total number of digits after the decimal points in the original numbers**:\n - \\( 809 \\) has no decimal point.\n - \\( 407 \\) has no decimal point.\n \n Therefore, there are \\( 0 + 0 = 0 \\) digits after the decimal points in total.\n\n3. **Place the decimal point in the product**:\n Since there are no trailing zeros and no other factors contributing to additional decimal places, the decimal point remains at the end of our product.\n\nThus, the final result is:\n\\[\n329603\n\\]\n\nSo, the solution to the multiplication equation \\( 809 \\times 407 \\) is:\n<answer>\n329603\n</answer>\n</sample>\n<reflect>\n", "role": "assistant" } ] }
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[ [ 42, 3 ], [ 14, 5 ] ]
983 x 673
661559
longmult_3dig
longmult
[ { "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\nWhat is the solution to the multiplication equation below?\n983 x 673\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 983, \"arg2\": 673, \"solution\": 661559}", "task_source": "longmult"}
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 983, "arg2": 673, "solution": 661559}
null
null
null
null
null
null
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 983 \\times 673 \\), we will follow these steps:\n\n1. **Multiply the numbers without considering the zeros at the end first:**\n \\[\n 983 \\times 673 = 983 \\times (600 + 70 + 3)\n \\]\n This breaks down the multiplication into simpler parts.\n\...
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[ "", "", "", "" ]
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[ "661559", "663999", "660769", "661559" ]
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[ [ "661559", "661559" ], [ "663999", "663999" ], [ "660760", "660769" ], [ "661559" ] ]
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2025-09-24
[ { "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\nWhat is the solution to the multiplication equation below?\n983 x 673\n\nGive your answer in the following format:\n<answer>\n(yo...
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 983 \\times 673 \\), we will follow these steps:\n\n1. **Multiply the numbers without considering the zeros at the end first:**\n \\[\n 983 \\times 673 = 983 \\times (600 + 70 + 3)\n \\]\n This breaks down the multiplication into simpler parts.\n\...
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[ [ "661559" ] ]
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[ [ 64, 0 ], [ 0, 0 ] ]
310 x 587
181970
longmult_3dig
longmult
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[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 310, \\\"arg2\\\": 587, \\\"solution\\\": 181970}\", \"task_source\(...TRUNCATED)
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 310, "arg2": 587, "solution": 181970}
null
null
null
null
null
null
["<think>\n<sample>\nTo solve the multiplication equation \\( 310 \\times 587 \\), we will break it (...TRUNCATED)
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[ false, false, false, false ]
[ "182970", "182970", "182570", "180870" ]
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2025-09-24
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["<think>\n<sample>\nTo solve the multiplication equation \\( 310 \\times 587 \\), we will break it (...TRUNCATED)
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[ "26970" ]
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[ [ false ] ]
[ [ "26970" ] ]
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[ [ 4, 9 ], [ 38, 13 ] ]
396 x 745
295020
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 396, \\\"arg2\\\": 745, \\\"solution\\\": 295020}\", \"task_source\(...TRUNCATED)
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 396, "arg2": 745, "solution": 295020}
null
null
null
null
null
null
["<think>\n<sample>\nTo solve the multiplication equation \\( 396 \\times 745 \\), we will break it (...TRUNCATED)
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[ "", "", "", "" ]
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[ false, false, false, false ]
[ "292770", "300072", "294020", "309720" ]
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[ [ false, false ], [ false, false, false ], [ false, false, false ], [ false, false ] ]
[ [ "5544", "292770" ], [ "294972", "300072", "300072" ], [ "3564", "294020", "294020" ], [ "17820", "309720" ] ]
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 544, \"span_text\": \"5544\(...TRUNCATED)
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{"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED)
2025-09-24
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
["<think>\n<sample>\nTo solve the multiplication equation \\( 396 \\times 745 \\), we will break it (...TRUNCATED)
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[ "5544" ]
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[ [ false ] ]
[ [ "5544" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}]]
{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
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[ [ 0, 17 ], [ 39, 8 ] ]
739 x 149
110111
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 739, \\\"arg2\\\": 149, \\\"solution\\\": 110111}\", \"task_source\(...TRUNCATED)
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 739, "arg2": 149, "solution": 110111}
null
null
null
null
null
null
["<think>\n<sample>\nTo solve the multiplication equation \\( 739 \\times 149 \\), we will break it (...TRUNCATED)
[ false, false, false, false ]
[ "", "", "", "" ]
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"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-rl_1e_v2__pv_v2-rl__150\", \"n_(...TRUNCATED)
[ false, false, false, false ]
[ "110851", "110091", "110881", "110211" ]
"[{\"extraction_type\": \"final\", \"total_spans_found\": 5, \"non_overlapping_spans\": 5, \"span_st(...TRUNCATED)
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[[false,false,false,false,false],[false,false],[false,false,false,false,false,false,false,false],[fa(...TRUNCATED)
[["103460","110351","109111","109111","110851"],["110091","110091"],["109111","10346","10346","10921(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 801, \"span_text\": \"10346(...TRUNCATED)
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{"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED)
2025-09-24
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
["<think>\n<sample>\nTo solve the multiplication equation \\( 739 \\times 149 \\), we will break it (...TRUNCATED)
[ false ]
[ "103460" ]
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[ [ false ] ]
[ [ "103460" ] ]
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 801, \"span_text\": \"10346(...TRUNCATED)
[[{"evaluation_method": "legacy", "legacy_result": false}]]
{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
["Let us verify this answer: First, 739 * 149 = 108921. The answer provided is incorrect.\n<verdict>(...TRUNCATED)
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[ [ 9, 0 ], [ 41, 14 ] ]
998 x 730
728540
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 998, \\\"arg2\\\": 730, \\\"solution\\\": 728540}\", \"task_source\(...TRUNCATED)
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 998, "arg2": 730, "solution": 728540}
null
null
null
null
null
null
["<think>\n<sample>\nTo solve the multiplication equation \\( 998 \\times 730 \\), we can break it d(...TRUNCATED)
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[ true, true, false, true ]
[ "728540", "728540", "72854", "728540" ]
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[[false,true,true,true],[false,true,true,true,true,true,true],[false,false,false,false],[false,true,(...TRUNCATED)
[["99800","728540","728540","728540"],["99800","728540","728540","728540","728540","728540","728540"(...TRUNCATED)
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 422, \"span_text\": \"99800(...TRUNCATED)
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{"flips_by":[0,0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent_correct":0.75,"skill_co(...TRUNCATED)
2025-09-24
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
["<think>\n<sample>\nTo solve the multiplication equation \\( 998 \\times 730 \\), we can break it d(...TRUNCATED)
[ false ]
[ "99800" ]
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[{"evaluation_method": "legacy", "legacy_result": false}]
[ [ false ] ]
[ [ "99800" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}]]
{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
["Let us verify this answer: \n\\( 998 \\times 730 = 998 \\times (700 + 30) = 998 \\times 700 + 998 (...TRUNCATED)
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[ [ 37, 18 ], [ 7, 2 ] ]
862 x 611
526682
longmult_3dig
longmult
[{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED)
[]
[]
"{\"metadata\": \"{\\\"arg1\\\": 862, \\\"arg2\\\": 611, \\\"solution\\\": 526682}\", \"task_source\(...TRUNCATED)
test
null
null
null
null
null
null
null
null
null
null
null
null
{"arg1": 862, "arg2": 611, "solution": 526682}
null
null
null
null
null
null
["<think>\n<sample>\nTo solve the multiplication equation \\( 862 \\times 611 \\), we will break it (...TRUNCATED)
[ false, false, false, false ]
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[ false, true, true, false ]
[ "526422", "526682", "526682", "518062" ]
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[ [ false, false ], [ true, true ], [ false, true, true ], [ false, false ] ]
[ [ "6906", "526422" ], [ "526682", "526682" ], [ "57882", "526682", "526682" ], [ "518062", "518062" ] ]
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2025-09-24
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["<think>\n<sample>\nTo solve the multiplication equation \\( 862 \\times 611 \\), we will break it (...TRUNCATED)
[ false ]
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[ [ false ] ]
[ [ "6906" ] ]
"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 548, \"span_text\": \"6906\(...TRUNCATED)
[[{"evaluation_method": "legacy", "legacy_result": false}]]
{"flips_by":[0],"flips_total":0,"num_correct":0,"pass_at_n":null,"percent_correct":null,"skill_count(...TRUNCATED)
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