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756 x 322
243432
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 322\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 756, \"arg2\": 322, \"solution\": 243432}", "task_source": "longmult"}
test
{"arg1": 756, "arg2": 322, "solution": 243432}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 756 \\times 322 \\), we will follow these steps:\n\n1. First, we multiply 756 by 2:\n \\[\n 756 \\times 2 = 1512\n \\]\n\n2. Next, we take the result and multiply it by 30 (which is 322 - 2):\n \\[\n 1512 \\times 30 = 45360\n \\]\n\nTherefore,...
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2025-11-09
726 x 135
98010
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?\n726 x 135\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 726, \"arg2\": 135, \"solution\": 98010}", "task_source": "longmult"}
test
{"arg1": 726, "arg2": 135, "solution": 98010}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 726 \\times 135 \\), we will follow these steps:\n\n### Step 1: Multiply 726 by 5 (the units digit of 135).\n\\[ 726 \\times 5 = 3630 \\]\n\n### Step 2: Multiply 726 by 30 (the tens digit of 135).\n\\[ 726 \\times 30 = 21780 \\]\n\n### Step 3: Add the res...
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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2025-11-09
520 x 133
69160
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?\n520 x 133\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 520, \"arg2\": 133, \"solution\": 69160}", "task_source": "longmult"}
test
{"arg1": 520, "arg2": 133, "solution": 69160}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 520 \\times 133 \\), we will follow these steps:\n\n### Step 1: Multiply 520 by 3.\n\\[ 520 \\times 3 = 1560 \\]\n\n### Step 2: Multiply 520 by 10 (which is the same as adding zero at the end).\n\\[ 520 \\times 10 = 5200 \\]\n\n### Step 3: Add the results...
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2025-11-09
420 x 680
285600
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?\n420 x 680\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 420, \"arg2\": 680, \"solution\": 285600}", "task_source": "longmult"}
test
{"arg1": 420, "arg2": 680, "solution": 285600}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 420 \\times 680 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 420\n × 680\n ------\n```\n\nNow, we'll multiply each digit of 420 by 0 (rightmost):\n\n```\n 420\n × 680\n ------\n 0 (420×0=0)\n...
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2025-11-09
835 x 429
358215
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?\n835 x 429\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 835, \"arg2\": 429, \"solution\": 358215}", "task_source": "longmult"}
test
{"arg1": 835, "arg2": 429, "solution": 358215}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 835 \\times 429 \\), we will follow these steps:\n\n1. First, we need to multiply 835 by 9 (the units digit of 429).\n - \\( 835 \\times 9 = 7415 \\)\n\n2. Next, we take the result and multiply it by 40 (the tens digit of 429).\n - \\( 7415 \\times 40...
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2025-11-09
593 x 797
472621
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?\n593 x 797\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 593, \"arg2\": 797, \"solution\": 472621}", "task_source": "longmult"}
test
{"arg1": 593, "arg2": 797, "solution": 472621}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 593 \\times 797 \\), we will use long multiplication.\n\n### Step 1: Multiply 593 by 7.\n- \\( 593 \\times 7 = 4151 \\)\n\n### Step 2: Multiply 593 by 90 (which is 7 * 10).\n- \\( 593 \\times 90 = 53470 \\)\n\n### Step 3: Multiply 593 by 100 (which is 7 *...
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2025-11-09
451 x 158
71258
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?\n451 x 158\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 451, \"arg2\": 158, \"solution\": 71258}", "task_source": "longmult"}
test
{"arg1": 451, "arg2": 158, "solution": 71258}
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2025-11-09
308 x 984
303072
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?\n308 x 984\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 308, \"arg2\": 984, \"solution\": 303072}", "task_source": "longmult"}
test
{"arg1": 308, "arg2": 984, "solution": 303072}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 308 \\times 984 \\), we will follow these steps:\n\n### Step 1: Multiply 308 by 4 (the units digit of 984).\n\\[ 308 \\times 4 = 1232 \\]\n\n### Step 2: Multiply 308 by 80 (the tens digit of 984).\n\\[ 308 \\times 80 = 24640 \\]\n\n### Step 3: Add the res...
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[ "(25872)", "299072", "(6468)", "(110880)" ]
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[ [ "(25872)", "(25872)" ], [ "303072", "(6468)", "299072", "299072" ], [ "303072", "(6468)", "(6468)" ], [ "(299680)", "(110880)", "(110880)" ] ]
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2025-11-09
600 x 871
522600
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?\n600 x 871\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 600, \"arg2\": 871, \"solution\": 522600}", "task_source": "longmult"}
test
{"arg1": 600, "arg2": 871, "solution": 522600}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 600 \\times 871 \\), we will follow these steps:\n\n### Step 1: Multiply 600 by 800\n\\[ 600 \\times 800 = 480000 \\]\n\n### Step 2: Multiply 600 by 70\n\\[ 600 \\times 70 = 42000 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 480000 + 42000 =...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ true, false, true, false ]
[ "522600", "(48710)", "(600 * 871) = 522,600", "(33600)" ]
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2025-11-09
414 x 772
319608
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?\n414 x 772\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 414, \"arg2\": 772, \"solution\": 319608}", "task_source": "longmult"}
test
{"arg1": 414, "arg2": 772, "solution": 319608}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 414 \\times 772 \\), we will use long multiplication.\n\n### Step 1: Multiply 414 by 2 (the ones digit of 772).\n\\[ 414 \\times 2 = 828 \\]\n\n### Step 2: Multiply 414 by 70 (the tens digit of 772, which is 7 multiplied by 10).\n\\[ 414 \\times 70 = 2908...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(31468)", "2224536", "(320708)", "(315488)" ]
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2025-11-09
901 x 174
156774
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?\n901 x 174\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 901, \"arg2\": 174, \"solution\": 156774}", "task_source": "longmult"}
test
{"arg1": 901, "arg2": 174, "solution": 156774}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 901 \\times 174 \\), we will use long multiplication.\n\n### Step 1: Multiply 901 by 4 (the ones digit of 174).\n\\[ 901 \\times 4 = 3604 \\]\n\n### Step 2: Multiply 901 by 70 (the tens digit of 174, which is 7 multiplied by 10).\n\\[ 901 \\times 70 = 630...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(156774)", "66674", "(66674)", "(10812)" ]
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[ [ false, false, true, true ], [ false, false ], [ false, false ], [ false, false, false ] ]
[ [ "(156854)", "(10812)", "(156774)", "(156774)" ], [ "66674", "66674" ], [ "(66674)", "(66674)" ], [ "(159774)", "(10812)", "(10812)" ] ]
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[[{"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", "...
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 1, "pass_at_n": 1, "percent_correct": 0.25, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 0 ], "reflect_close": [ 3, ...
2025-11-09
144 x 320
46080
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?\n144 x 320\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 144, \"arg2\": 320, \"solution\": 46080}", "task_source": "longmult"}
test
{"arg1": 144, "arg2": 320, "solution": 46080}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 144 \\times 320 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 144\n × 320\n _______\n 5760 (144 × 0)\n 57600 (144 × 20, shift one position to the left)\n __________\n 460800\n```\n\nNow, let's ad...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ true, true, true, true ]
[ "46080", "(46080)", "(46080)", "(46080)" ]
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[ [ false, false, true, true ], [ false, false, false, true, true ], [ false, false, false, true, true ], [ false, false, true, true ] ]
[ [ "(518400)", "42096", "46080", "46080" ], [ "(518400)", "(45080)", "(9216)", "(46080)", "(46080)" ], [ "460800", "(7200)", "(44800)", "(46080)", "(46080)" ], [ "(409760)", "(3686400)", "(46080)", "(46080)" ] ]
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[[{"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", "...
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2025-11-09
986 x 175
172550
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?\n986 x 175\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 986, \"arg2\": 175, \"solution\": 172550}", "task_source": "longmult"}
test
{"arg1": 986, "arg2": 175, "solution": 172550}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 986 \\times 175 \\), we will follow these steps:\n\n### Step 1: Multiply 986 by 5 (the units digit of 175).\n\\[ 986 \\times 5 = 4930 \\]\n\n### Step 2: Multiply 986 by 70 (the tens digit of 175, which is 7 multiplied by 10).\n\\[ 986 \\times 70 = 69020 \...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "177480", "(11832)", "1711500", "73950" ]
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2025-11-09
593 x 672
398496
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?\n593 x 672\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 593, \"arg2\": 672, \"solution\": 398496}", "task_source": "longmult"}
test
{"arg1": 593, "arg2": 672, "solution": 398496}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 593 \\times 672 \\), we will follow these steps:\n\n1. First, let's break it down into smaller parts for easier calculation.\n2. Multiply 593 by 600 (which is a simpler multiple of 672).\n - \\( 593 \\times 600 = 355800 \\)\n\n3. Next, multiply 593 by 7...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, true, false ]
[ "(381176)", "24906", "(398496)", "393296" ]
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2025-11-09
436 x 566
246776
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?\n436 x 566\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 436, \"arg2\": 566, \"solution\": 246776}", "task_source": "longmult"}
test
{"arg1": 436, "arg2": 566, "solution": 246776}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 436 \\times 566 \\), we will follow these steps:\n\n1. First, multiply 436 by 6 (the ones digit of 566):\n \\[\n 436 \\times 6 = 2616\n \\]\n\n2. Next, multiply 436 by 60 (the tens digit of 566):\n \\[\n 436 \\times 60 = 26160\n \\]\n\n3. Add ...
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2025-11-09
125 x 260
32500
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?\n125 x 260\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 125, \"arg2\": 260, \"solution\": 32500}", "task_source": "longmult"}
test
{"arg1": 125, "arg2": 260, "solution": 32500}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 125 \\times 260 \\), we can use the standard long multiplication method:\n\n1. First, multiply 125 by 0 (the ones place of 260):\n \\[ 125 \\times 0 = 0 \\]\n\n2. Next, multiply 125 by 6 (the tens place of 260):\n \\[ 125 \\times 6 = 750 \\]\n\n3. Fin...
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[ "", "", "", "" ]
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[ "(15000)", "(15000)", "(15000)", "(15000)" ]
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[ [ "1000", "(15000)", "(15000)" ], [ "(10000)", "(15000)", "(15000)" ], [ "(10000)", "(32500)", "(15000)", "(15000)" ], [ "(32500)", "(15000)", "(15000)" ] ]
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2025-11-09
669 x 538
359922
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?\n669 x 538\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 669, \"arg2\": 538, \"solution\": 359922}", "task_source": "longmult"}
test
{"arg1": 669, "arg2": 538, "solution": 359922}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 669 \\times 538 \\), we will use long multiplication.\n\n### Step 1: Multiply 669 by 8 (the ones digit of 538).\n\\[ 669 \\times 8 = 5352 \\]\n\n### Step 2: Multiply 669 by 30 (the tens digit of 538, which is 3 multiplied by 10).\n\\[ 669 \\times 30 = 200...
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[[{"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": false}, {"evaluation_method": "legacy", "...
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2025-11-09
922 x 926
853772
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?\n922 x 926\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 922, \"arg2\": 926, \"solution\": 853772}", "task_source": "longmult"}
test
{"arg1": 922, "arg2": 926, "solution": 853772}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 922 \\times 926 \\), we can use the standard long multiplication method.\n\nFirst, let's write it out:\n\n\\[\n\\begin{array}{r}\n 922 \\\\\n\\times 926 \\\\\n\\hline\n 5732 \\\\ (922 \\times 6) \\\\\n +84840 \\\\ (922 \\times 20) \\\\\n+...
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[ "", "", "", "" ]
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[ "(23972)", "(858132)", "(23972)", "(858372)" ]
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[ [ false, false ], [ false, false, false, false ], [ false, false, false ], [ false ] ]
[ [ "(23972)", "(23972)" ], [ "(837732)", "(855920)", "(858132)", "(858132)" ], [ "857772", "(23972)", "(23972)" ], [ "(858372)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
195 x 803
156585
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?\n195 x 803\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 195, \"arg2\": 803, \"solution\": 156585}", "task_source": "longmult"}
test
{"arg1": 195, "arg2": 803, "solution": 156585}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 195 \\times 803 \\), we will follow these steps:\n\n### Step 1: Multiply 195 by 3.\n\\[ 195 \\times 3 = 585 \\]\n\n### Step 2: Multiply 195 by 80.\n\\[ 195 \\times 80 = 15600 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[ 585 + 15600 = 16185 ...
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[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "(157155)", "2145", "(16185)", "(2145)" ]
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[ [ "16185", "(156585)", "(156585)", "(157155)", "(157155)" ], [ "2145", "2145" ], [ "(156450)", "(16185)", "(16185)" ], [ "(2145)", "(2145)" ] ]
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2025-11-09
388 x 234
90792
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?\n388 x 234\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 388, \"arg2\": 234, \"solution\": 90792}", "task_source": "longmult"}
test
{"arg1": 388, "arg2": 234, "solution": 90792}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 388 \\times 234 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 388 by 4 (the ones place of 234)\n\\[ 388 \\times 4 = 1552 \\]\nWrite down 2 and carry over 5.\n\n### Step 2: Multiply 388 by 30 (the tens place of 234)\n\\[ 388 \\times 3...
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[ "", "", "", "" ]
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[ "(13192)", "(89892)", "(90892)", "(89892)" ]
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[ [ false, false ], [ false, false, false ], [ false, false, false ], [ false, false, false ] ]
[ [ "(13192)", "(13192)" ], [ "89247", "89892", "(89892)" ], [ "(90704)", "(90892)", "(90892)" ], [ "87912", "(89892)", "(89892)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy...
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2025-11-09
843 x 314
264702
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?\n843 x 314\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 843, \"arg2\": 314, \"solution\": 264702}", "task_source": "longmult"}
test
{"arg1": 843, "arg2": 314, "solution": 264702}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 843 \\times 314 \\), we will follow these steps:\n\n### Step 1: Multiply 843 by 300\n\\[ 843 \\times 300 = 252900 \\]\n\n### Step 2: Multiply 843 by 10\n\\[ 843 \\times 10 = 8430 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 252900 + 8430 = 2...
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(843 * 314)", "(265722)", "(6744)", "(37092)" ]
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2025-11-09
195 x 882
171990
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?\n195 x 882\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 195, \"arg2\": 882, \"solution\": 171990}", "task_source": "longmult"}
test
{"arg1": 195, "arg2": 882, "solution": 171990}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 195 \\times 882 \\), we will follow these steps:\n\n### Step 1: Multiply 195 by 800\n\\[ 195 \\times 800 = 156000 \\]\n\n### Step 2: Multiply 195 by 80\n\\[ 195 \\times 80 = 15600 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 156000 + 15600 =...
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2025-11-09
605 x 805
487025
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?\n605 x 805\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 605, \"arg2\": 805, \"solution\": 487025}", "task_source": "longmult"}
test
{"arg1": 605, "arg2": 805, "solution": 487025}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 605 \\times 805 \\), we can use the distributive property of multiplication over addition.\n\nFirst, let's break down 605 into two parts:\n\\[ 605 = 600 + 5 \\]\n\nNow, break down 805 into two parts:\n\\[ 805 = 800 + 5 \\]\n\nNext, multiply these broken-d...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "487025", "(487025)", "242000", "(488025)" ]
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2025-11-09
701 x 382
267782
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?\n701 x 382\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 701, \"arg2\": 382, \"solution\": 267782}", "task_source": "longmult"}
test
{"arg1": 701, "arg2": 382, "solution": 267782}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 701 \\times 382 \\), we will use long multiplication.\n\n### Step 1: Multiply 701 by 2 (the ones place of 382)\n\\[ 701 \\times 2 = 1402 \\]\n\n### Step 2: Multiply 701 by 80 (the tens place of 382)\n\\[ 701 \\times 80 = 56080 \\]\nNow add the result from...
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[ "", "", "", "" ]
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2025-11-09
939 x 624
585936
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?\n939 x 624\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 939, \"arg2\": 624, \"solution\": 585936}", "task_source": "longmult"}
test
{"arg1": 939, "arg2": 624, "solution": 585936}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 939 \\times 624 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 939 by 4 (the ones place of 624).\n\\[ 939 \\times 4 = 3756 \\]\n\n### Step 2: Multiply 939 by 20 (the tens place of 624).\n\\[ 939 \\times 20 = 18780 \\]\n\n### Step 3: M...
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[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "(581936)", "(22536)", "(589936)", "(585936)" ]
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2025-11-09
581 x 872
506632
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?\n581 x 872\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 581, \"arg2\": 872, \"solution\": 506632}", "task_source": "longmult"}
test
{"arg1": 581, "arg2": 872, "solution": 506632}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 581 \\times 872 \\), we will follow these steps:\n\n### Step 1: Multiply 581 by 7 (the tens place of 872).\n\\[ 581 \\times 7 = 4067 \\]\n\n### Step 2: Multiply 581 by 8 (the ones place of 872).\n\\[ 581 \\times 8 = 4648 \\]\n\n### Step 3: Add the results...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(504192)", "(502592)", "(15687)", "9877" ]
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2025-11-09
798 x 407
324786
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?\n798 x 407\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 798, \"arg2\": 407, \"solution\": 324786}", "task_source": "longmult"}
test
{"arg1": 798, "arg2": 407, "solution": 324786}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 798 \\times 407 \\), we will follow these steps:\n\n1. First, let's break down the numbers for easier calculation.\n - 798 can be broken into 700 + 90 + 8.\n - 407 can be broken into 400 + 7.\n\n2. Now, multiply each part of the first number by the se...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ true, false, false, false ]
[ "324786", "223440", "(8778)", "321586" ]
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2025-11-09
840 x 607
509880
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?\n840 x 607\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 840, \"arg2\": 607, \"solution\": 509880}", "task_source": "longmult"}
test
{"arg1": 840, "arg2": 607, "solution": 509880}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 840 \\times 607 \\), we will follow these steps:\n\n1. First, let's break down the numbers for easier calculation.\n - 840 can be broken into 800 + 40.\n - 607 remains as it is.\n\n2. Now, multiply each part of 840 by 607 separately:\n - \\( 800 \\t...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
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[[{"evaluation_method": "legacy", "legacy_result": true}, {"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", "...
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2025-11-09
674 x 218
146932
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?\n674 x 218\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 674, \"arg2\": 218, \"solution\": 146932}", "task_source": "longmult"}
test
{"arg1": 674, "arg2": 218, "solution": 146932}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 674 \\times 218 \\), we will follow these steps:\n\n### Step 1: Multiply 674 by 200\n\\[ 674 \\times 200 = 134800 \\]\n\n### Step 2: Multiply 674 by 18\n\\[ 674 \\times 18 = 12092 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 134800 + 12092 =...
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[ "", "", "", "" ]
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[ "(144132)", "(147832)", "(2696)", "7414" ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
582 x 996
579672
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?\n582 x 996\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 582, \"arg2\": 996, \"solution\": 579672}", "task_source": "longmult"}
test
{"arg1": 582, "arg2": 996, "solution": 579672}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 582 \\times 996 \\), we can use the standard long multiplication method.\n\nFirst, we multiply 582 by 9:\n\n\\[\n582 \\times 9 = 5238\n\\]\n\nNext, we multiply 582 by 90 (which is 9 multiplied by 10):\n\n\\[\n582 \\times 90 = 52380\n\\]\n\nNow, we add the...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(55872)", "(55872)", "(571872)", "(55872)" ]
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[ [ "57618", "(55872)", "(55872)" ], [ "(629532)", "(55872)", "(55872)" ], [ "(571872)", "(571872)" ], [ "(648272)", "(55872)", "(55872)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
553 x 995
550235
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?\n553 x 995\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 553, \"arg2\": 995, \"solution\": 550235}", "task_source": "longmult"}
test
{"arg1": 553, "arg2": 995, "solution": 550235}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 553 \\times 995 \\), we can use long multiplication.\n\nFirst, we multiply 553 by 5:\n\n\\[ 553 \\times 5 = 2765 \\]\n\nNext, we multiply 553 by 90 (which is 9 multiplied by 10):\n\n\\[ 553 \\times 90 = 49770 \\]\n\nThen, we add these two results together...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(547115)", "52535", "(52535)", "(52535)" ]
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[ [ false, false, false, false ], [ false, false ], [ false, false ], [ false, false, false ] ]
[ [ "52535", "(52535)", "(547115)", "(547115)" ], [ "52535", "52535" ], [ "(52535)", "(52535)" ], [ "590965", "(52535)", "(52535)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 3, 1, ...
2025-11-09
465 x 203
94395
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?\n465 x 203\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 465, \"arg2\": 203, \"solution\": 94395}", "task_source": "longmult"}
test
{"arg1": 465, "arg2": 203, "solution": 94395}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 465 \\times 203 \\), we will follow these steps:\n\n1. First, multiply 465 by 3:\n \\[\n 465 \\times 3 = 1395\n \\]\n\n2. Next, multiply 465 by 20 (which is the same as multiplying by 2 and then adding another zero):\n \\[\n 465 \\times 20 = 930...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "94495", "(96015)", "94545", "10695" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ false, false, false, false, false ], [ false, false, false, false, false, false ], [ false, true, false, false, false, false ], [ false, false, false ] ]
[ [ "(10695)", "(10695)", "(93380)", "94495", "94495" ], [ "(10695)", "(10695)", "(467400)", "10695", "(96015)", "(96015)" ], [ "10695", "(94395)", "2325", "10695", "94545", "94545" ], [ "10695", "10695", "10695" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 1, 0 ], "flips_total": 1, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 4, 5, ...
2025-11-09
820 x 785
643700
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?\n820 x 785\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 820, \"arg2\": 785, \"solution\": 643700}", "task_source": "longmult"}
test
{"arg1": 820, "arg2": 785, "solution": 643700}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 820 \\times 785 \\), we can use long multiplication.\n\nFirst, we multiply 820 by 5:\n\n\\[ 820 \\times 5 = 4100 \\]\n\nNext, we multiply 820 by 80 (remember to place a zero at the end because we're multiplying by 8):\n\n\\[ 820 \\times 80 = 65600 \\]\n\n...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, true, false ]
[ "(69700)", "(69700)", "643700", "(649300)" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ false, false, false ], [ false, false, false ], [ false, true, true ], [ false, false, false ] ]
[ [ "69700", "(69700)", "(69700)" ], [ "(639700)", "(69700)", "(69700)" ], [ "(648800)", "643700", "643700" ], [ "(20500)", "(649300)", "(649300)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
211 x 528
111408
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?\n211 x 528\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 211, \"arg2\": 528, \"solution\": 111408}", "task_source": "longmult"}
test
{"arg1": 211, "arg2": 528, "solution": 111408}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 211 \\times 528 \\), we will follow these steps:\n\n### Step 1: Multiply 211 by 8 (the units digit of 528).\n\\[ 211 \\times 8 = 1688 \\]\n\n### Step 2: Multiply 211 by 20 (the tens digit of 528).\n\\[ 211 \\times 20 = 4220 \\]\n\n### Step 3: Add the resu...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(2165)", "(111188)", "(2165)", "112408" ]
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[ [ false, false, false ], [ false, false, false, false, false ], [ true, false, false ], [ false, false, false ] ]
[ [ "(5908)", "(2165)", "(2165)" ], [ "(109720)", "112808", "111508", "(111188)", "(111188)" ], [ "(111408)", "(2165)", "(2165)" ], [ "(112196)", "112408", "112408" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 1, 0 ], "flips_total": 1, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 1 ], "reflect_close": [ 2, 4, ...
2025-11-09
755 x 692
522460
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?\n755 x 692\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 755, \"arg2\": 692, \"solution\": 522460}", "task_source": "longmult"}
test
{"arg1": 755, "arg2": 692, "solution": 522460}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 755 \\times 692 \\), we will follow these steps:\n\n### Step 1: Multiply 755 by 600\n\\[ 755 \\times 600 = 453000 \\]\n\n### Step 2: Multiply 755 by 90 (which is 692 - 600)\n\\[ 755 \\times 90 = 68050 \\]\n\n### Step 3: Add the results from Steps 1 and 2\...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(69460)", "(521950)", "40770", "521950" ]
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2025-11-09
300 x 236
70800
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?\n300 x 236\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 300, \"arg2\": 236, \"solution\": 70800}", "task_source": "longmult"}
test
{"arg1": 300, "arg2": 236, "solution": 70800}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 300 \\times 236 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 300\n × 236\n ------\n```\n\nNow, let's multiply each digit of 236 by 300:\n\n1. \\( 300 \\times 6 = 1800 \\)\n2. \\( 300 \\times 30 = 9000 \\) (and carry ...
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[ "(67800)", "(67800)", "(70800)", "(10800)" ]
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2025-11-09
755 x 756
570780
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?\n755 x 756\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 755, \"arg2\": 756, \"solution\": 570780}", "task_source": "longmult"}
test
{"arg1": 755, "arg2": 756, "solution": 570780}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 755 \\times 756 \\), we can use the distributive property of multiplication over addition.\n\nFirst, break down 756 into two parts:\n\\[ 756 = 750 + 6 \\]\n\nNow, apply the distributive property:\n\\[ 755 \\times 756 = 755 \\times (750 + 6) \\]\n\\[ = 755...
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[ "(226500)", "(42280)", "(42280)", "(3394100)" ]
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2025-11-09
883 x 590
520970
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?\n883 x 590\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 883, \"arg2\": 590, \"solution\": 520970}", "task_source": "longmult"}
test
{"arg1": 883, "arg2": 590, "solution": 520970}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 883 \\times 590 \\), we will follow these steps:\n\n1. First, we multiply 883 by 9 (the digit after the decimal point in 590).\n - \\( 883 \\times 9 = 7947 \\)\n\n2. Next, we multiply 883 by 5 (the other digit before the decimal point in 590).\n - \\(...
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2025-11-09
391 x 736
287776
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?\n391 x 736\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 391, \"arg2\": 736, \"solution\": 287776}", "task_source": "longmult"}
test
{"arg1": 391, "arg2": 736, "solution": 287776}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 391 \\times 736 \\), we will follow these steps:\n\n### Step 1: Multiply 391 by 700\n\\[ 391 \\times 700 = 273700 \\]\n\n### Step 2: Multiply 391 by 30\n\\[ 391 \\times 30 = 11730 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 273700 + 11730 =...
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[ "", "", "", "" ]
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[ "285496", "(284996)", "(14076)", "(285430)" ]
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2025-11-09
495 x 383
189585
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?\n495 x 383\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 495, \"arg2\": 383, \"solution\": 189585}", "task_source": "longmult"}
test
{"arg1": 495, "arg2": 383, "solution": 189585}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 495 \\times 383 \\), we will use long multiplication.\n\n### Step 1: Multiply 495 by 300\n- \\( 495 \\times 3 = 1485 \\)\n- Since we're multiplying by 300, add two zeros at the end: \\( 14850 \\)\n\n### Step 2: Multiply 495 by 80 (which is 3 * 80)\n- \\( ...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "188115", "(11880)", "(188100)", "(189585)" ]
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2025-11-09
432 x 589
254448
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?\n432 x 589\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 432, \"arg2\": 589, \"solution\": 254448}", "task_source": "longmult"}
test
{"arg1": 432, "arg2": 589, "solution": 254448}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 432 \\times 589 \\), we will follow these steps:\n\n1. First, let's break down the numbers for easier calculation:\n - 432 can be broken into 400 + 30 + 2\n - 589 can be broken into 500 + 80 + 9\n\n2. Now, multiply each part of the first number by eac...
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[ "", "", "", "" ]
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2025-11-09
698 x 509
355282
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?\n698 x 509\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 698, \"arg2\": 509, \"solution\": 355282}", "task_source": "longmult"}
test
{"arg1": 698, "arg2": 509, "solution": 355282}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 698 \\times 509 \\), we will follow these steps:\n\n1. First, we need to multiply 698 by 5.\n - \\( 698 \\times 5 = 3490 \\)\n\n2Next, we take the result and multiply it by 0.09 (which is equivalent to 509 divided by 1000).\n - \\( 3490 \\times 0.09 =...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "(352662)", "(349000)", "(354722)", "(350582)" ]
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2025-11-09
881 x 328
288968
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?\n881 x 328\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 881, \"arg2\": 328, \"solution\": 288968}", "task_source": "longmult"}
test
{"arg1": 881, "arg2": 328, "solution": 288968}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 881 \\times 328 \\), we will follow these steps:\n\n### Step 1: Multiply 881 by 300\n\\[ 881 \\times 300 = 264300 \\]\n\n### Step 2: Multiply 881 by 20\n\\[ 881 \\times 20 = 17620 \\]\n\n### Step 3: Add the results from Steps 1 and 2\n\\[ 264300 + 17620 =...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(881 * 328) = 289,048", "281920", "289328", "289448" ]
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[ [ "281920", "(288548)", "289968", "(881 * 328) = 289,048", "(881 * 328) = 289,048" ], [ "281920", "281920" ], [ "281920", "(11373)", "42288", "289328", "289328" ], [ "281928", "(281920)", "289448", "289448" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy",...
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2025-11-09
318 x 450
143100
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?\n318 x 450\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 318, \"arg2\": 450, \"solution\": 143100}", "task_source": "longmult"}
test
{"arg1": 318, "arg2": 450, "solution": 143100}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 318 \\times 450 \\), we will follow these steps:\n\n### Step 1: Multiply 318 by 50.\n\\[ 318 \\times 50 = 15900 \\]\n\n### Step 2: Multiply 318 by 40.\n\\[ 318 \\times 40 = 12720 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[ 15900 + 12720 = ...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, true, false ]
[ "(142900)", "(14310)", "(143100)", "(14310)" ]
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[ [ "28620", "(140700)", "143100", "142900", "(142900)" ], [ "28620", "(14310)", "(14310)" ], [ "28620", "(143100)", "159000", "143100", "(143100)" ], [ "(143100)", "(14310)", "(14310)" ] ]
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{ "flips_by": [ 1, 0, 1, 1 ], "flips_total": 3, "num_correct": 1, "pass_at_n": 1, "percent_correct": 0.25, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1 ], "reflect_close": [ 4, ...
2025-11-09
917 x 703
644651
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?\n917 x 703\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 917, \"arg2\": 703, \"solution\": 644651}", "task_source": "longmult"}
test
{"arg1": 917, "arg2": 703, "solution": 644651}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 917 \\times 703 \\), we will use the standard long multiplication method.\n\n### Step 1: Multiply 917 by 3 (the ones digit of 703).\n\\[ 917 \\times 3 = 2751 \\]\n\n### Step 2: Multiply 917 by 0 (the tens digit of 703).\nSince multiplying any number by 0 ...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(66941)", "(644851)", "(647821)", "(645041)" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ true, false, false ], [ false, false, false, false ], [ false, false ], [ false, false, false, false, false ] ]
[ [ "644651", "(66941)", "(66941)" ], [ "(66941)", "(66941)", "(644851)", "(644851)" ], [ "(647821)", "(647821)" ], [ "66941", "(66941)", "(1925700)", "(645041)", "(645041)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": true}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", ...
{ "flips_by": [ 1, 0, 0, 0 ], "flips_total": 1, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 1, 1 ], "reflect_close": [ 2, 3, ...
2025-11-09
344 x 939
323016
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?\n344 x 939\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 344, \"arg2\": 939, \"solution\": 323016}", "task_source": "longmult"}
test
{"arg1": 344, "arg2": 939, "solution": 323016}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 344 \\times 939 \\), we will use long multiplication.\n\n### Step 1: Multiply 344 by 9.\n\\[\n\\begin{array}{r}\n 344 \\\\\n \\times 9 \\\\\n\\hline\n 3096 \\\\\n\\end{array}\n\\]\n\n### Step 2: Multiply 344 by 30 (which is the same as multiplying ...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(313776)", "(44376)", "(9288)", "(9288)" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ false, false, false ], [ false, false, false, false ], [ true, false, false ], [ false, false, false ] ]
[ [ "(318756)", "(313776)", "(313776)" ], [ "(9288)", "(322016)", "44376", "(44376)" ], [ "(323016)", "(9288)", "(9288)" ], [ "(9288)", "(9288)", "(9288)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 1, 0 ], "flips_total": 1, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 1, 0, 0, 0 ], "reflect_close": [ 2, 3, ...
2025-11-09
629 x 855
537795
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?\n629 x 855\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 629, \"arg2\": 855, \"solution\": 537795}", "task_source": "longmult"}
test
{"arg1": 629, "arg2": 855, "solution": 537795}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 629 \\times 855 \\), we will use long multiplication.\n\n### Step 1: Multiply 629 by 5 (the ones place of 855)\n\\[ 629 \\times 5 = 3145 \\]\n\n### Step 2: Multiply 629 by 50 (the tens place of 855)\n\\[ 629 \\times 50 = 31450 \\]\n\n### Step 3: Multiply ...
[ false, false, false, false ]
[ "", "", "", "" ]
{"api_url": "http://10.32.37.15:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 16384, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "...
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "529895", "527895", "34595", "(528045)" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ false, false ], [ false, false ], [ false, false, false ], [ false, false, false, false ] ]
[ [ "529895", "529895" ], [ "527895", "527895" ], [ "(528495)", "34595", "34595" ], [ "251600", "(34595)", "(528045)", "(528045)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy...
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 1 ], "reflect_close": [ 1, 1, ...
2025-11-09
365 x 611
223015
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?\n365 x 611\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 365, \"arg2\": 611, \"solution\": 223015}", "task_source": "longmult"}
test
{"arg1": 365, "arg2": 611, "solution": 223015}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 365 \\times 611 \\), we will follow these steps:\n\n### Step 1: Multiply 365 by 1.\n\\[ 365 \\times 1 = 365 \\]\n\n### Step 2: Multiply 365 by 60 (which is 6 × 10).\n\\[ 365 \\times 60 = 21900 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[ 36...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "240900", "(2555)", "(222765)", "(223565)" ]
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[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}]
[ [ false, false, false ], [ false, false, false ], [ false, false, false, false ], [ false, false, false, false, false, false ] ]
[ [ "22265", "240900", "240900" ], [ "(221865)", "(2555)", "(2555)" ], [ "(22265)", "(730)", "(222765)", "(222765)" ], [ "(22265)", "(2555)", "25895", "3987115", "223565", "(223565)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 1, 0 ], "reflect_close": [ 2, 3, ...
2025-11-09
731 x 791
578221
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?\n731 x 791\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 731, \"arg2\": 791, \"solution\": 578221}", "task_source": "longmult"}
test
{"arg1": 731, "arg2": 791, "solution": 578221}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 731 \\times 791 \\), we can use the standard long multiplication method.\n\nFirst, we multiply 731 by 1 (the rightmost digit of 791):\n\\[ 731 \\times 1 = 731 \\]\n\nNext, we multiply 731 by 90 (the next digit of 791):\n\\[ 731 \\times 90 = 65890 \\]\n\nT...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "(66521)", "(578321)", "(579321)", "579271" ]
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2025-11-09
848 x 228
193344
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?\n848 x 228\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 848, \"arg2\": 228, \"solution\": 193344}", "task_source": "longmult"}
test
{"arg1": 848, "arg2": 228, "solution": 193344}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 848 \\times 228 \\), we will use long multiplication.\n\n### Step 1: Multiply 848 by 8 (the last digit of 228)\n\\[ 848 \\times 8 = 6784 \\]\n\n### Step 2: Multiply 848 by 20 (the first digit of 228)\n\\[ 848 \\times 20 = 16960 \\]\n\n### Step 3: Multiply...
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2025-11-09
848 x 214
181472
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?\n848 x 214\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 848, \"arg2\": 214, \"solution\": 181472}", "task_source": "longmult"}
test
{"arg1": 848, "arg2": 214, "solution": 181472}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 848 \\times 214 \\), we will use long multiplication.\n\n### Step 1: Multiply 848 by 4 (the ones digit of 214)\n\\[ 848 \\times 4 = 3392 \\]\nWrite down 3392.\n\n### Step 2: Multiply 848 by 10 (the tens digit of 214)\n\\[ 848 \\times 10 = 8480 \\]\nAdd th...
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2025-11-09
801 x 555
444555
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?\n801 x 555\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 801, \"arg2\": 555, \"solution\": 444555}", "task_source": "longmult"}
test
{"arg1": 801, "arg2": 555, "solution": 444555}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 801 \\times 555 \\), we will follow these steps:\n\n### Step 1: Multiply 801 by 5\n\\[ 801 \\times 5 = 4005 \\]\n\n### Step 2: Multiply the result by 55\n\\[ 4005 \\times 55 = 220325 \\]\n\nSo, the product of \\( 801 \\times 555 \\) is \\( 220325 \\).\n\n...
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2025-11-09
311 x 959
298249
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?\n311 x 959\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 311, \"arg2\": 959, \"solution\": 298249}", "task_source": "longmult"}
test
{"arg1": 311, "arg2": 959, "solution": 298249}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 311 \\times 959 \\), we will perform the multiplication step by step.\n\nFirst, let's break it down:\n\n1. Multiply 311 by 9:\n \\[\n 311 \\times 9 = 2799\n \\]\n\n2. Now, multiply the result by 5 (since 959 = 5 * 191):\n \\[\n 2799 \\times 5 = ...
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[ "13995", "(13995)", "296509", "13995" ]
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2025-11-09
295 x 929
274055
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?\n295 x 929\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 295, \"arg2\": 929, \"solution\": 274055}", "task_source": "longmult"}
test
{"arg1": 295, "arg2": 929, "solution": 274055}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 295 \\times 929 \\), we will use long multiplication.\n\n### Step 1: Multiply 295 by 9.\n- Multiply 9 by 5: \\( 9 \\times 5 = 45 \\)\n- Multiply 9 by 9: \\( 9 \\times 9 = 81 \\)\n- Multiply 9 by 2: \\( 9 \\times 2 = 18 \\)\n\nNow, add these products toget...
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[ "", "", "", "" ]
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[ false, false, false, false ]
[ "(5310)", "5310", "(277805)", "(282645)" ]
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2025-11-09
711 x 214
152154
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?\n711 x 214\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 711, \"arg2\": 214, \"solution\": 152154}", "task_source": "longmult"}
test
{"arg1": 711, "arg2": 214, "solution": 152154}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 711 \\times 214 \\), we will follow these steps:\n\n### Step 1: Multiply 711 by 4 (the units digit of 214).\n\\[ 711 \\times 4 = 2844 \\]\n\n### Step 2: Multiply 711 by 10 (since 214 has two digits).\n\\[ 711 \\times 10 = 7110 \\]\n\n### Step 3: Add the r...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
764 x 834
637176
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?\n764 x 834\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 764, \"arg2\": 834, \"solution\": 637176}", "task_source": "longmult"}
test
{"arg1": 764, "arg2": 834, "solution": 637176}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 764 \\times 834 \\), we can use long multiplication:\n\n1. First, multiply 764 by 4 (the ones place of 834):\n \\[ 764 \\times 4 = 3056 \\]\n Write down 6 and carry over 30.\n\n2. Next, multiply 764 by 30 (the tens place of 834):\n \\[ 764 \\times 3...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
249 x 206
51294
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?\n249 x 206\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 249, \"arg2\": 206, \"solution\": 51294}", "task_source": "longmult"}
test
{"arg1": 249, "arg2": 206, "solution": 51294}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 249 \\times 206 \\), we will follow these steps:\n\n1. First, multiply 249 by 6 (the units digit of 206):\n \\[\n 249 \\times 6 = 1494\n \\]\n\n2. Next, multiply 249 by 0 (the tens digit of 206):\n \\[\n 249 \\times 0 = 0\n \\]\n\n3. Now, add ...
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[ "(6474)", "(1494)", "(51354)", "(6474)" ]
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2025-11-09
148 x 644
95312
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?\n148 x 644\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 148, \"arg2\": 644, \"solution\": 95312}", "task_source": "longmult"}
test
{"arg1": 148, "arg2": 644, "solution": 95312}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 148 \\times 644 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 148 by 4 (the ones place of 644).\n\\[ 148 \\times 4 = 592 \\]\n\n### Step 2: Multiply 148 by 40 (the tens place of 644).\n\\[ 148 \\times 40 = 5920 \\]\n\n### Step 3: Mul...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "(94312)", "(94312)", "(94312)", "(94312)" ]
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2025-11-09
415 x 737
305855
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?\n415 x 737\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 415, \"arg2\": 737, \"solution\": 305855}", "task_source": "longmult"}
test
{"arg1": 415, "arg2": 737, "solution": 305855}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 415 \\times 737 \\), we will follow these steps:\n\n### Step 1: Multiply 415 by 700\n\\[ 415 \\times 700 = 289500 \\]\n\n### Step 2: Multiply 415 by 30 (which is 737 - 700)\n\\[ 415 \\times 30 = 12450 \\]\n\n### Step 3: Add the results from Steps 1 and 2\...
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "301950", "(302950)", "(8715)", "3095950" ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy...
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2025-11-09
902 x 589
531278
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?\n902 x 589\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 902, \"arg2\": 589, \"solution\": 531278}", "task_source": "longmult"}
test
{"arg1": 902, "arg2": 589, "solution": 531278}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 902 \\times 589 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 902 by 9 (the last digit of 589)\n\\[ 902 \\times 9 = 8118 \\]\n\n### Step 2: Multiply 902 by 80 (the first digit of 589, shifted one place to the left)\n\\[ 902 \\times 8...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(534538)", "530278", "(36080)", "(539978)" ]
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[[{"evaluation_method": "legacy", "legacy_result": true}, {"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", "...
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2025-11-09
834 x 222
185148
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?\n834 x 222\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 834, \"arg2\": 222, \"solution\": 185148}", "task_source": "longmult"}
test
{"arg1": 834, "arg2": 222, "solution": 185148}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 834 \\times 222 \\), we will use long multiplication.\n\n### Step 1: Multiply 834 by 2 (the ones place of 222).\n\\[ 834 \\times 2 = 1668 \\]\n\n### Step 2: Multiply 834 by 20 (the tens place of 222).\n\\[ 834 \\times 20 = 16680 \\]\n\n### Step 3: Multipl...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "(368576)", "(368576)", "(184148)", "(185808)" ]
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2025-11-09
562 x 245
137690
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?\n562 x 245\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 562, \"arg2\": 245, \"solution\": 137690}", "task_source": "longmult"}
test
{"arg1": 562, "arg2": 245, "solution": 137690}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 562 \\times 245 \\), we will use long multiplication.\n\n### Step 1: Multiply 562 by 5.\n\\[\n562 \\times 5 = 2810\n\\]\n\n### Step 2: Multiply 562 by 40 (which is 245 - 5).\n\\[\n562 \\times 40 = 22480\n\\]\nNow add this to the result from Step 1.\n\\[\n...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
963 x 170
163710
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?\n963 x 170\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 963, \"arg2\": 170, \"solution\": 163710}", "task_source": "longmult"}
test
{"arg1": 963, "arg2": 170, "solution": 163710}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 963 \\times 170 \\), we can use the standard long multiplication method.\n\nFirst, let's write it out:\n\n```\n 963\n × 170\n _______\n 6731 (963 × 0)\n 6731 (963 × 7, shifted one position to the left)\n _______\n 163510\n``...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(163100)", "(67410)", "(6741)", "(16371)" ]
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2025-11-09
337 x 439
147943
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?\n337 x 439\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 337, \"arg2\": 439, \"solution\": 147943}", "task_source": "longmult"}
test
{"arg1": 337, "arg2": 439, "solution": 147943}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 337 \\times 439 \\), we can use the standard long multiplication method:\n\n1. Multiply 337 by 9 (the ones digit of 439):\n \\[\n 337 \\times 9 = 2983\n \\]\n\n2. Multiply 337 by 30 (the tens digit of 439):\n \\[\n 337 \\times 30 = 10110\n \\]...
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[ "", "", "", "" ]
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[ "148943", "(13143)", "(13143)", "(147943)" ]
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2025-11-09
191 x 683
130453
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?\n191 x 683\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 191, \"arg2\": 683, \"solution\": 130453}", "task_source": "longmult"}
test
{"arg1": 191, "arg2": 683, "solution": 130453}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 191 \\times 683 \\), we will use long multiplication.\n\n### Step 1: Multiply 191 by 3 (the ones place of 683)\n\\[ 191 \\times 3 = 573 \\]\n\n### Step 2: Multiply 191 by 80 (the tens place of 683)\n\\[ 191 \\times 80 = 15280 \\]\n\n### Step 3: Multiply 1...
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[ "(9168)", "128423", "(127183)", "128,433" ]
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2025-11-09
616 x 631
388696
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?\n616 x 631\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 616, \"arg2\": 631, \"solution\": 388696}", "task_source": "longmult"}
test
{"arg1": 616, "arg2": 631, "solution": 388696}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 616 \\times 631 \\), we will follow these steps:\n\n### Step 1: Multiply 616 by 300 (to get close to 630)\n\\[ 616 \\times 300 = 184800 \\]\n\n### Step 2: Multiply 616 by 100 (to adjust for the remaining part)\n\\[ 616 \\times 100 = 61600 \\]\n\n### Step ...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(390176)", "(385296)", "(19096)", "(388896)" ]
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2025-11-09
875 x 458
400750
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?\n875 x 458\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 875, \"arg2\": 458, \"solution\": 400750}", "task_source": "longmult"}
test
{"arg1": 875, "arg2": 458, "solution": 400750}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 875 \\times 458 \\), we will follow these steps:\n\n1. First, we need to multiply 875 by 50 (which is half of 458).\n - \\( 875 \\times 50 = 43750 \\)\n\n2. Next, we multiply the result by 9 (since 458 - 50 = 408, and 408 * 9 = 3672).\n - \\( 43750 \\...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "(50750)", "394000", "390050", "(390500)" ]
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[ [ "(393750)", "(50750)", "(50750)" ], [ "112750", "(400650)", "394500", "394000", "394000" ], [ "390500", "50750", "39375", "390050", "390050" ], [ "78750", "50750", "50750", "390500", "(390500)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
766 x 261
199926
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?\n766 x 261\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 766, \"arg2\": 261, \"solution\": 199926}", "task_source": "longmult"}
test
{"arg1": 766, "arg2": 261, "solution": 199926}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 766 \\times 261 \\), we will use long multiplication.\n\n### Step 1: Multiply 766 by 1 (the rightmost digit of 261).\n- \\( 766 \\times 1 = 766 \\)\n\n### Step 2: Multiply 766 by 60 (the next digit of 261).\n- \\( 766 \\times 60 = 45960 \\)\n- Write down ...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "199126", "(9192)", "(199726)", "(199126)" ]
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[ [ false, false ], [ false, false, false, false, false, false ], [ false, false, false ], [ false, false, false, false, false ] ]
[ [ "199126", "199126" ], [ "(199826)", "(199726)", "(199126)", "(6894)", "9192", "(9192)" ], [ "199526", "199726", "(199726)" ], [ "166222", "199526", "(6894)", "(199126)", "(199126)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
720 x 291
209520
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?\n720 x 291\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 720, \"arg2\": 291, \"solution\": 209520}", "task_source": "longmult"}
test
{"arg1": 720, "arg2": 291, "solution": 209520}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 720 \\times 291 \\), we can use long multiplication.\n\nFirst, we multiply 720 by 9 (the digit in the ones place of 291):\n\\[ 720 \\times 9 = 6480 \\]\n\nNext, we multiply 720 by 10 (the digit in the tens place of 291):\n\\[ 720 \\times 10 = 7200 \\]\n\n...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(205720)", "(66240)", "(7200)", "(205920)" ]
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[ [ false, false, false, false ], [ false, false, false ], [ false, false, false ], [ false, true, false, false ] ]
[ [ "(13680)", "(7920)", "205720", "(205720)" ], [ "15120", "(66240)", "(66240)" ], [ "27980", "(7200)", "(7200)" ], [ "208800", "209520", "(205920)", "(205920)" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
{ "flips_by": [ 0, 0, 0, 1 ], "flips_total": 1, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 3, 2, ...
2025-11-09
882 x 640
564480
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?\n882 x 640\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 882, \"arg2\": 640, \"solution\": 564480}", "task_source": "longmult"}
test
{"arg1": 882, "arg2": 640, "solution": 564480}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 882 \\times 640 \\), we will follow these steps:\n\n### Step 1: Multiply 882 by 40.\n\\[ 882 \\times 40 = 35280 \\]\n\n### Step 2: Multiply 882 by 60.\n\\[ 882 \\times 60 = 52920 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[ 35280 + 52920 = ...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[ "5668800", "(88200)", "(547680)", "(554080)" ]
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2025-11-09
736 x 839
617504
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?\n736 x 839\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 736, \"arg2\": 839, \"solution\": 617504}", "task_source": "longmult"}
test
{"arg1": 736, "arg2": 839, "solution": 617504}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 736 \\times 839 \\), we will follow these steps:\n\n1. First, let's break down the numbers for easier calculation:\n - 736 can be thought of as 700 + 30 + 6\n - 839 can be thought of as 800 + 30 + 9\n\n2. Now, multiply each part separately:\n - \\( ...
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[ "(612470)", "(529920)", "(529920)", "(52992)" ]
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2025-11-09
623 x 594
370062
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?\n623 x 594\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 623, \"arg2\": 594, \"solution\": 370062}", "task_source": "longmult"}
test
{"arg1": 623, "arg2": 594, "solution": 370062}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 623 \\times 594 \\), we can use long multiplication.\n\nFirst, we multiply 623 by 4 (the ones digit of 594):\n\\[ 623 \\times 4 = 2492 \\]\n\nNext, we multiply 623 by 90 (the tens digit of 594):\n\\[ 623 \\times 90 = 56070 \\]\n\nThen, we multiply 623 by ...
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[ "", "", "", "" ]
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[ "(368662)", "368662", "(58562)", "(89712)" ]
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2025-11-09
187 x 256
47872
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?\n187 x 256\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 187, \"arg2\": 256, \"solution\": 47872}", "task_source": "longmult"}
test
{"arg1": 187, "arg2": 256, "solution": 47872}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 187 \\times 256 \\), we can use long multiplication.\n\nHere are the steps:\n\n1. Multiply 187 by 6 (the ones digit of 256):\n \\[\n 187 \\times 6 = 1122\n \\]\n Write down 22 and carry over 11.\n\n2. Multiply 187 by 50 (the tens digit of 256), wh...
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[ "", "", "", "" ]
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[ "47872", "47732", "47872", "47872" ]
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2025-11-09
182 x 111
20202
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?\n182 x 111\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 182, \"arg2\": 111, \"solution\": 20202}", "task_source": "longmult"}
test
{"arg1": 182, "arg2": 111, "solution": 20202}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 182 \\times 111 \\), we can use the standard long multiplication algorithm.\n\nFirst, we multiply 182 by 1 (the ones place of 111):\n\\[ 182 \\times 1 = 182 \\]\n\nNext, we multiply 182 by 10 (the tens place of 111):\n\\[ 182 \\times 10 = 1820 \\]\n\nThen...
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[ "", "", "", "" ]
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2025-11-09
905 x 667
603635
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?\n905 x 667\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 905, \"arg2\": 667, \"solution\": 603635}", "task_source": "longmult"}
test
{"arg1": 905, "arg2": 667, "solution": 603635}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 905 \\times 667 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 905 by 7 (the ones place of 667).\n\\[ 905 \\times 7 = 6335 \\]\n\n### Step 2: Multiply 905 by 60 (the tens place of 667).\n\\[ 905 \\times 60 = 54300 \\]\n\n### Step 3: M...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(603385)", "(60635)", "604085", "(38010)" ]
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2025-11-09
636 x 935
594660
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?\n636 x 935\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 636, \"arg2\": 935, \"solution\": 594660}", "task_source": "longmult"}
test
{"arg1": 636, "arg2": 935, "solution": 594660}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 636 \\times 935 \\), we will follow these steps:\n\n### Step 1: Multiply 636 by 5 (the units digit of 935).\n\\[ 636 \\times 5 = 3180 \\]\n\n### Step 2: Multiply 636 by 30 (the tens digit of 935).\n\\[ 636 \\times 30 = 19080 \\]\n\n### Step 3: Add the res...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "22260", "(2947700)", "(54060)", "591660" ]
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2025-11-09
785 x 727
570695
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?\n785 x 727\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 785, \"arg2\": 727, \"solution\": 570695}", "task_source": "longmult"}
test
{"arg1": 785, "arg2": 727, "solution": 570695}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 785 \\times 727 \\), we will follow these steps:\n\n### Step 1: Multiply 785 by 700\n\\[ 785 \\times 700 = 549500 \\]\n\n### Step 2: Multiply 785 by 20 (which is equivalent to multiplying by 10 and then adding zero)\n\\[ 785 \\times 20 = 15700 \\]\n\n### ...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
650 x 240
156000
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?\n650 x 240\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 650, \"arg2\": 240, \"solution\": 156000}", "task_source": "longmult"}
test
{"arg1": 650, "arg2": 240, "solution": 156000}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 650 \\times 240 \\), we can use long multiplication.\n\nStep 1: Multiply 650 by 0.\n\\[ 650 \\times 0 = 0 \\]\n\nStep 2: Multiply 650 by 4 (the ones place of 240).\n\\[ 650 \\times 4 = 2600 \\]\n\nStep 3: Multiply 650 by 2 (the tens place of 240).\n\\[ 65...
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[ "(5200)", "(156000)", "(156000)", "(5200)" ]
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2025-11-09
454 x 811
368194
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?\n454 x 811\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 454, \"arg2\": 811, \"solution\": 368194}", "task_source": "longmult"}
test
{"arg1": 454, "arg2": 811, "solution": 368194}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 454 \\times 811 \\), we will follow these steps:\n\n### Step 1: Multiply 454 by 1.\n\\[ 454 \\times 1 = 454 \\]\n\n### Step 2: Multiply 454 by 800 (since 811 - 10 = 801 and we already know 454 * 10 = 4540).\n\\[ 454 \\times 800 = 363200 \\]\n\n### Step 3:...
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[ "(36774)", "(4086)", "363654", "36774" ]
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2025-11-09
628 x 674
423272
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?\n628 x 674\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 628, \"arg2\": 674, \"solution\": 423272}", "task_source": "longmult"}
test
{"arg1": 628, "arg2": 674, "solution": 423272}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 628 \\times 674 \\), we can use the standard long multiplication method:\n\n1. Multiply 628 by 4 (the ones place of 674):\n \\[ 628 \\times 4 = 2512 \\]\n Write down 2512.\n\n2. Multiply 628 by 70 (the tens place of 674):\n \\[ 628 \\times 70 = 4396...
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[ "(81640)", "(417880)", "(46472)", "(46472)" ]
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2025-11-09
829 x 729
604341
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?\n829 x 729\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 829, \"arg2\": 729, \"solution\": 604341}", "task_source": "longmult"}
test
{"arg1": 829, "arg2": 729, "solution": 604341}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 829 \\times 729 \\), we can use the standard long multiplication method or a calculator for accuracy. I'll demonstrate the long multiplication method here:\n\n1. Multiply 9 by 9:\n \\[ 9 \\times 9 = 81 \\]\n\n2. Write down 81.\n\n3. Multiply 9 by 2 (and...
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[ "", "", "", "" ]
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[ "604381", "(605681)", "(609521)", "14822" ]
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2025-11-09
772 x 625
482500
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?\n772 x 625\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 772, \"arg2\": 625, \"solution\": 482500}", "task_source": "longmult"}
test
{"arg1": 772, "arg2": 625, "solution": 482500}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 772 \\times 625 \\), we will follow these steps:\n\n1. First, let's break down 625 into simpler parts for easier calculation.\n - 625 can be factored as \\( 5^4 \\).\n\n2. Now, rewrite the original expression using this factorization:\n \\[\n 772 \\...
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[ "386000", "(470000)", "(386000)", "(483500)" ]
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2025-11-09
439 x 968
424952
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?\n439 x 968\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 439, \"arg2\": 968, \"solution\": 424952}", "task_source": "longmult"}
test
{"arg1": 439, "arg2": 968, "solution": 424952}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 439 \\times 968 \\), we will follow these steps:\n\n1. First, we need to multiply 439 by 8 (the last digit of 968).\n - \\( 439 \\times 8 = 3512 \\)\n\n2. Next, we take the result from step 1 (3512) and multiply it by 60 (since 968 has two digits after ...
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[ "", "", "", "" ]
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2025-11-09
457 x 696
318072
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?\n457 x 696\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 457, \"arg2\": 696, \"solution\": 318072}", "task_source": "longmult"}
test
{"arg1": 457, "arg2": 696, "solution": 318072}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 457 \\times 696 \\), we will follow these steps:\n\n1. First, we need to multiply 457 by 600 (since 696 - 96 = 600).\n \\[\n 457 \\times 600 = 274200\n \\]\n\n2. Next, we multiply 457 by 96.\n \\[\n 457 \\times 96 = 43872\n \\]\n\n3. Now, we a...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "(317272)", "24678", "(24678)", "(24678)" ]
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2025-11-09
847 x 635
537845
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?\n847 x 635\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 847, \"arg2\": 635, \"solution\": 537845}", "task_source": "longmult"}
test
{"arg1": 847, "arg2": 635, "solution": 537845}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 847 \\times 635 \\), we will follow these steps:\n\n1. First, we need to multiply 847 by 5 (the last digit of 635).\n \\[\n 847 \\times 5 = 4235\n \\]\n\n2. Next, we take the result from the first step (4235) and multiply it by 30 (since 635 = 60 + ...
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[ "29645", "(29645)", "(528195)", "(127050)" ]
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2025-11-09
873 x 864
754272
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?\n873 x 864\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 873, \"arg2\": 864, \"solution\": 754272}", "task_source": "longmult"}
test
{"arg1": 873, "arg2": 864, "solution": 754272}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 873 \\times 864 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 873\n × 864\n _______\n 3492 (873 × 4)\n 70120 (873 × 60, shift one position to the left)\n _______\n 753152\n```\n\nNow, add these p...
[ false, false, false, false ]
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[ "(55872)", "(55872)", "(55872)", "(55872)" ]
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2025-11-09
392 x 158
61936
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?\n392 x 158\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 392, \"arg2\": 158, \"solution\": 61936}", "task_source": "longmult"}
test
{"arg1": 392, "arg2": 158, "solution": 61936}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 392 \\times 158 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 392\n × 158\n ------\n```\n\nNow, we'll multiply each digit of 392 by 8 (the units place of 158):\n\n```\n 392\n × 158\n ------\n ...
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[ "", "", "", "" ]
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[ "(5488)", "(5488)", "(61936)", "(61936)" ]
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2025-11-09
699 x 841
587859
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?\n699 x 841\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 699, \"arg2\": 841, \"solution\": 587859}", "task_source": "longmult"}
test
{"arg1": 699, "arg2": 841, "solution": 587859}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 699 \\times 841 \\), we will follow these steps:\n\n### Step 1: Multiply 699 by 1.\n\\[ 699 \\times 1 = 699 \\]\n\n### Step 2: Multiply 699 by 40 (which is 841 - 400).\n\\[ 699 \\times 40 = 27960 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[...
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[ "", "", "", "" ]
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[ "(580379)", "(587579)", "(573599)", "580059" ]
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2025-11-09
635 x 528
335280
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?\n635 x 528\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 635, \"arg2\": 528, \"solution\": 335280}", "task_source": "longmult"}
test
{"arg1": 635, "arg2": 528, "solution": 335280}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 635 \\times 528 \\), we will use long multiplication steps.\n\n### Step 1: Multiply 635 by 8 (the ones digit of 528).\n\\[ 635 \\times 8 = 5080 \\]\n\n### Step 2: Multiply 635 by 20 (the tens digit of 528).\n\\[ 635 \\times 20 = 12700 \\]\n\n### Step 3: M...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ true, false, true, false ]
[ "(335280)", "(331280)", "335280", "(331480)" ]
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2025-11-09
540 x 452
244080
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?\n540 x 452\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 540, \"arg2\": 452, \"solution\": 244080}", "task_source": "longmult"}
test
{"arg1": 540, "arg2": 452, "solution": 244080}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 540 \\times 452 \\), we can use long multiplication.\n\nFirst, let's write it out:\n\n```\n 540\n × 452\n ------\n```\n\nNow, we'll multiply each digit of 540 by 2 (the units place of 452):\n\n```\n 540\n × 452\n ------\n 10800 ...
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[ "", "", "", "" ]
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2025-11-09
547 x 725
396575
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?\n547 x 725\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 547, \"arg2\": 725, \"solution\": 396575}", "task_source": "longmult"}
test
{"arg1": 547, "arg2": 725, "solution": 396575}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 547 \\times 725 \\), we will follow these steps:\n\n1. First, we multiply 547 by 5:\n \\[\n 547 \\times 5 = 2735\n \\]\n\n2. Next, we multiply 547 by 20 (which is 2 times 10):\n \\[\n 547 \\times 20 = 10940\n \\]\n\n3. Then, we multiply 547 by...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
185 x 266
49210
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?\n185 x 266\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 185, \"arg2\": 266, \"solution\": 49210}", "task_source": "longmult"}
test
{"arg1": 185, "arg2": 266, "solution": 49210}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 185 \\times 266 \\), we will follow these steps:\n\n### Step 1: Multiply 185 by 6 (the units digit of 266).\n\\[ 185 \\times 6 = 1110 \\]\n\n### Step 2: Multiply 185 by 60 (the tens digit of 266, which is 6 multiplied by 10).\n\\[ 185 \\times 60 = 11100 \...
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[ "(319860)", "(49090)", "49090", "(1295)" ]
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2025-11-09
719 x 125
89875
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?\n719 x 125\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 719, \"arg2\": 125, \"solution\": 89875}", "task_source": "longmult"}
test
{"arg1": 719, "arg2": 125, "solution": 89875}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 719 \\times 125 \\), we can use long multiplication.\n\nHere are the steps:\n\n1. Multiply 719 by 5 (the ones place of 125):\n - 9 × 5 = 45\n - Write down 5 and carry over 4\n\n2. Multiply 719 by 20 (the tens place of 125):\n - 1 × 20 = 20\n - 7 ×...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ true, false, true, true ]
[ "89875", "(1807500)", "(89875)", "(89875)" ]
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2025-11-09
931 x 508
472948
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?\n931 x 508\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 931, \"arg2\": 508, \"solution\": 472948}", "task_source": "longmult"}
test
{"arg1": 931, "arg2": 508, "solution": 472948}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 931 \\times 508 \\), we will follow these steps:\n\n### Step 1: Multiply 931 by 8 (the units digit of 508).\n\\[ 931 \\times 8 = 7448 \\]\n\n### Step 2: Multiply 931 by 0 (the tens digit of 508).\n\\[ 931 \\times 0 = 0 \\]\n\n### Step 3: Add the results f...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(372400)", "(472188)", "7448", "476748" ]
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2025-11-09
923 x 611
563953
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?\n923 x 611\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 923, \"arg2\": 611, \"solution\": 563953}", "task_source": "longmult"}
test
{"arg1": 923, "arg2": 611, "solution": 563953}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 923 \\times 611 \\), we will use long multiplication.\n\n### Step 1: Multiply 923 by 1 (the ones place of 611).\n\\[ 923 \\times 1 = 923 \\]\n\n### Step 2: Multiply 923 by 10 (the tens place of 611).\n\\[ 923 \\times 10 = 9230 \\]\n\n### Step 3: Multiply ...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
[ false, false, false, false ]
[ "(66533)", "(15691)", "(6461)", "(56303)" ]
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[ [ false, false ], [ false, false, false ], [ false, false, false ], [ false, false ] ]
[ [ "(66533)", "(66533)" ], [ "(10153)", "(15691)", "(15691)" ], [ "(56303)", "(6461)", "(6461)" ], [ "(56303)", "(56303)" ] ]
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{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 1, 1, 0 ], "reflect_close": [ 1, 2, ...
2025-11-09
757 x 778
588946
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?\n757 x 778\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 757, \"arg2\": 778, \"solution\": 588946}", "task_source": "longmult"}
test
{"arg1": 757, "arg2": 778, "solution": 588946}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 757 \\times 778 \\), we can use long multiplication steps:\n\n### Step 1: Multiply 778 by 7 (the units digit of 757).\n\\[ 778 \\times 7 = 5446 \\]\n\n### Step 2: Multiply 778 by 50 (the tens digit of 757).\n\\[ 778 \\times 50 = 38900 \\]\n\n### Step 3: M...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "587506", "(588106)", "582806", "(59146)" ]
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[ [ false, false, false, false, false ], [ false, false, false ], [ false, false, false, false, false, false ], [ false, false ] ]
[ [ "(584546)", "(59146)", "588326", "587506", "587506" ], [ "(588836)", "(588106)", "(588106)" ], [ "(584546)", "(59146)", "(59146)", "64455", "582806", "582806" ], [ "(59146)", "(59146)" ] ]
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2025-11-09
899 x 445
400055
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?\n899 x 445\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 899, \"arg2\": 445, \"solution\": 400055}", "task_source": "longmult"}
test
{"arg1": 899, "arg2": 445, "solution": 400055}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 899 \\times 445 \\), we will use long multiplication.\n\n### Step 1: Multiply 899 by 5 (the ones place of 445).\n\\[ 899 \\times 5 = 4495 \\]\n\n### Step 2: Multiply 899 by 40 (the tens place of 445).\n\\[ 899 \\times 40 = 35960 \\]\n\n### Step 3: Multipl...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(395015)", "399055", "(390905)", "(399005)" ]
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[ [ false, false ], [ false, false, false, false ], [ false, false, false, false, false, false ], [ false, false, false ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
714 x 609
434826
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?\n714 x 609\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 714, \"arg2\": 609, \"solution\": 434826}", "task_source": "longmult"}
test
{"arg1": 714, "arg2": 609, "solution": 434826}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 714 \\times 609 \\), we will follow these steps:\n\n### Step 1: Multiply 714 by 9.\n\\[ 714 \\times 9 = 6426 \\]\n\n### Step 2: Multiply 714 by 60.\n\\[ 714 \\times 60 = 42840 \\]\n\n### Step 3: Add the results from Steps 1 and 2.\n\\[ 6426 + 42840 = 4926...
[ false, false, false, false ]
[ "", "", "", "" ]
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl", "n_responses": 4}
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[[{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy", "legacy_result": false}, {"evaluation_method": "legacy",...
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2025-11-09
174 x 250
43500
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?\n174 x 250\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 174, \"arg2\": 250, \"solution\": 43500}", "task_source": "longmult"}
test
{"arg1": 174, "arg2": 250, "solution": 43500}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 174 \\times 250 \\), we can use long multiplication.\n\nFirst, break it down:\n\\[ 174 \\times 250 = 174 \\times (200 + 50) \\]\n\\[ = (174 \\times 200) + (174 \\times 50) \\]\n\nNow calculate each part separately:\n\\[ 174 \\times 200 = 34800 \\]\n\\[ 17...
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2025-11-09
407 x 499
203093
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?\n407 x 499\n\nGive your answer in the following format:\n<answer>\n(yo...
[]
[]
{"metadata": "{\"arg1\": 407, \"arg2\": 499, \"solution\": 203093}", "task_source": "longmult"}
test
{"arg1": 407, "arg2": 499, "solution": 203093}
[ "<think>\n<sample>\nTo solve the multiplication equation \\( 407 \\times 499 \\), we can use the standard long multiplication method.\n\nFirst, let's write it out:\n\n```\n 407\n × 499\n _______\n 3683 (407 × 9)\n 3258 (407 × 90, shift one position to the left)\n _______\n 200133\n```\n\n...
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2025-11-09