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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}
[ "To solve the multiplication equation \\( 756 \\times 322 \\), we can break it down into simpler steps for easier calculation.\n\nFirst, let's multiply 756 by 300:\n\\[ 756 \\times 300 = 226800 \\]\n\nNext, let's multiply 756 by 20:\n\\[ 756 \\times 20 = 15120 \\]\n\nNow, add these two results together:\n\\[ 226800...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 726 \\times 135 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 726 by 100:\n \\[ 726 \\times 100 = 72600 \\]\n\n2. Next, let's multiply 726 by 30 (which is the same as multiplying by 3 and then adding two zeros):\n \\[ 726 \\times 3 = 2178 \\]...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 520 \\times 133 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 520 by 130:\n \\[\n 520 \\times 130 = 67600\n \\]\n\n2. Next, we need to add the result of 520 multiplied by 3 (which is 13):\n \\[\n 67600 + 1560 = 69160\n \\]\n\nSo, the ...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 420 \\times 680 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 420 by 60:\n \\[ 420 \\times 60 = 25200 \\]\n\n2. Next, let's multiply the result by 8 (since 680 = 60 + 8):\n \\[ 25200 \\times 8 = 201600 \\]\n\nSo, the final answer is:\n<answer...
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2025-10-27
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}
[ "To solve the multiplication equation \\(835 \\times 429\\), we can break it down into simpler steps:\n\n1. First, let's multiply 835 by 400 (since 429 - 29 = 400):\n \\[\n 835 \\times 400 = 334000\n \\]\n\n2. Next, let's multiply 835 by 29 and then add the result to 334000:\n \\[\n 835 \\times 29 = 24265...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 593 \\times 797 \\), we can use the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 593 by 7:**\n - 593 × 7 = 4151\n\n2. **Multiply 593 by 90 (which is 7 * 10):**\n - 593 × 90 = 53470\n\n3. **Multiply 593 by 800 (which is 7 * 10...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 451 \\times 158 \\), we can use the standard multiplication algorithm:\n\n1. Multiply 451 by 8 (the units digit of 158):\n \\[ 451 \\times 8 = 3608 \\]\n\n2. Multiply 451 by 50 (the tens digit of 158, which is 5 multiplied by 10):\n \\[ 451 \\times 50 = 22550 \\]\n\n3. ...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 308 \\times 984 \\), we can use the standard multiplication algorithm or break it down into smaller steps for easier calculation. Here, I will demonstrate the step-by-step process using the standard method:\n\n1. **Multiply 308 by 4 (the units digit of 984):**\n \\[\n 3...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 600 \\times 871 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 600 by 800:\n \\[\n 600 \\times 800 = 480000\n \\]\n\n2. Next, let's multiply the result by 71:\n \\[\n 480000 \\times 71 = 34080000\n \\]\n\nSo, the final answer is:\n<ans...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 414 \\times 772 \\), we can use the standard multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 414 by 700 (the first two digits of 772):**\n - \\( 414 \\times 700 = 414 \\times 7 \\times 100 = 2908 \\times 100 = 290800 \\)\n\n2. **Multiply 414 b...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 901 \\times 174 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 901 by 170 (which is 174 - 4):\n \\[\n 901 \\times 170 = 901 \\times (170 + 4) = (901 \\times 170) + (901 \\times 4)\n \\]\n\n2. Calculate \\( 901 \\times 170 \\):\n \\[\n 90...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 144 \\times 320 \\), we can break it down into simpler steps for easier calculation.\n\nFirst, let's multiply 144 and 300:\n\n\\[ 144 \\times 300 = 43200 \\]\n\nNext, we need to add the result of 144 multiplied by 20 to 43200:\n\n\\[ 144 \\times 20 = 2880 \\]\n\\[ 43200 + 2...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 986 \\times 175 \\), we can break it down into simpler steps for easier calculation.\n\nFirst, let's multiply 986 by 100:\n\\[ 986 \\times 100 = 98600 \\]\n\nNext, let's multiply 986 by 75 (which is 175 - 100):\n\\[ 986 \\times 75 \\]\n\nWe can use the distributive property...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 593 \\times 672 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 593 by 700 (which is 672 shifted one place value to the left):\n \\[\n 593 \\times 700 = 415100\n \\]\n\n2. Next, let's subtract the product of 593 and 20 (which is 672 shifted t...
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2025-10-27
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}
[ "To solve the multiplication equation \\(436 \\times 566\\), we can break it down into simpler steps:\n\n1. First, let's multiply 436 by 600 (since 566 = 500 + 66):\n \\[\n 436 \\times 600 = 261600\n \\]\n\n2. Next, let's multiply 436 by 66:\n \\[\n 436 \\times 66 = 28976\n \\]\n\n3. Now, add the result...
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2025-10-27
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}
[ "To solve the multiplication equation \\(125 \\times 260\\), we can break it down into simpler steps:\n\n1. First, let's multiply 125 by 20:\n \\[\n 125 \\times 20 = 2500\n \\]\n\n2. Next, let's multiply the result by 10:\n \\[\n 2500 \\times 10 = 25000\n \\]\n\nSo, the final answer is:\n<answer>\n25000...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 669 \\times 538 \\), we can use the standard multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 669 by 8 (the units digit of 538):**\n \\[\n 669 \\times 8 = 5352\n \\]\n\n2. **Multiply 669 by 30 (the tens digit of 538, which is 3 * 10):**\n ...
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2025-10-27
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}
[ "To solve the multiplication equation \\(922 \\times 926\\), we can use the standard multiplication algorithm or break it down into smaller steps for easier calculation. Here, I'll demonstrate the latter approach:\n\n1. Break down 926 into two parts: 900 and 26.\n So, \\(922 \\times 926 = 922 \\times (900 + 26)\\...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 195 \\times 803 \\), we can break it down into simpler steps for easier calculation.\n\nFirst, let's multiply 195 by 800:\n\n\\[ 195 \\times 800 = 195 \\times (8 \\times 100) = (195 \\times 8) \\times 100 \\]\n\nNow, calculate \\( 195 \\times 8 \\):\n\n\\[ 195 \\times 8 = 1...
[ false, false, false, false ]
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2025-10-27
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}
[ "To solve the multiplication equation \\(388 \\times 234\\), we can use the standard multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 388 by 4 (the units digit of 234):**\n \\[\n 388 \\times 4 = 1552\n \\]\n\n2. **Multiply 388 by 30 (the tens digit of 234, which is 3 multiplied by ...
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[ "", "", "", "" ]
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2025-10-27
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}
[ "To solve the multiplication equation \\( 843 \\times 314 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 843 by 300 (which is the same as multiplying by 3 and then adding two zeros):\n \\[ 843 \\times 300 = 252900 \\]\n\n2. Next, let's multiply 843 by 14:\n \\[ 843 \\times 14 = 11802 ...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 195 \\times 882 \\), we can break it down into simpler steps for easier calculation.\n\nFirst, let's multiply 195 by 800 (which is the same as multiplying by 8 and then adding zero):\n\\[ 195 \\times 800 = 156000 \\]\n\nNext, let's multiply 195 by 82:\n\\[ 195 \\times 82 = ...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 605 \\times 805 \\), we can break it down into simpler steps:\n\n1. First, let's multiply the numbers without considering the zeros at the end for simplicity.\n2. Calculate \\( 6 \\times 8 = 48 \\).\n3. Now, add the two original numbers with their respective positions shift...
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2025-10-27
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}
[ "To solve the multiplication equation \\( 701 \\times 382 \\), we can break it down into simpler steps:\n\n1. First, let's multiply 701 by 300:\n \\[ 701 \\times 300 = 210300 \\]\n\n2. Next, let's multiply 701 by 80 (which is the same as multiplying by 8 and then adding zeros):\n \\[ 701 \\times 8 = 5608 \\]\n ...
[ false, false, false, false ]
[ "", "", "", "" ]
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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, 0, 0, 0 ], "reflect_close": [ 0, 0, ...
2025-10-27
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}
[ "To solve the multiplication equation \\( 939 \\times 624 \\), we can use the standard multiplication algorithm or break it down into smaller steps for easier calculation. Here, I will use the standard multiplication method:\n\n1. Multiply 939 by 4 (the units digit of 624):\n \\( 939 \\times 4 = 3756 \\)\n\n2. Mu...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ true, true, false, true ]
[ "585936", "585936", "581936", "585936" ]
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{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 3, "pass_at_n": 1, "percent_correct": 0.75, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 0, ...
2025-10-27
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