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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:\n\n1. First, let's multiply 756 by 2:\n \\[\n 756 \\times 2 = 1512\n \\]\n\n2. Next, let's multiply the result by 100 (since 322 has two digits, and we need to add one more zero at the end):\n \\[\n 1512 ...
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2025-10-26
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 \\[\n 726 \\times 100 = 72600\n \\]\n\n2. Next, let's multiply 726 by 30 (which is the same as multiplying by 3 and then adding two zeros):\n \\[\n 726 \\times 3 ...
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[ "", "", "", "" ]
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[ "99270", "94380", "94380", "94380" ]
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2025-10-26
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\nFirst, let's multiply 520 by 13:\n\n\\[520 \\times 13 = 6760\\]\n\nNext, we need to multiply the result by 10 (since 133 has one zero at the end):\n\n\\[6760 \\times 10 = 67600\\]\n\nSo, the solution to the mult...
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2025-10-26
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 and 600:\n \\[\n 420 \\times 600 = 252000\n \\]\n\n2. Next, let's multiply the result by 80 (which is 8 times 60):\n \\[\n 252000 \\times 8 = 2016000\n \\]\n\nSo, the sol...
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[ "", "", "", "" ]
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[ "2016000", "2016000", "2016000", "201600" ]
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2025-10-26
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 9 (the units digit of 429):\n \\[\n 835 \\times 9 = 7415\n \\]\n\n2. Next, let's multiply 835 by 20 (which is 429 divided by 2):\n \\[\n 835 \\times 20 = 16700\n \\]\n...
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[ "", "", "", "" ]
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[ "24115", "358155", "358215", "358155" ]
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2025-10-26
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 multiplication algorithm. Let's break it down step by step:\n\n1. First, multiply 593 by 700 (which is the same as multiplying 593 by 7 and then adding two zeros):\n \\[\n 593 \\times 7 = 4151\n \\]\n Now add the zero at th...
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[ "", "", "", "" ]
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2025-10-26
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. Let's break it down step by step:\n\n1. Multiply 451 by 8 (the ones digit of 158):\n \\[\n 451 \\times 8 = 3608\n \\]\n\n2. Multiply 451 by 50 (the tens digit of 158, which is 5 * 10):\n \\[\n 45...
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2025-10-26
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. Let's break it down step by step:\n\n1. Multiply 308 by 4 (the ones digit of 984):\n \\[\n 308 \\times 4 = 1232\n \\]\n\n2. Multiply 308 by 80 (the tens digit of 984):\n \\[\n 308 \\times 80 = 24...
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2025-10-26
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 solution to the multip...
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2025-10-26
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 2 (the ones digit of 772):\n \\[\n 414 \\times 2 = 828\n \\]\n\n2. Multiply 414 by 70 (the tens digit of 772, which is 7 multiplied by 10):\n ...
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2025-10-26
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 for easier calculation.\n\nFirst, let's multiply 901 by 170 (which is a part of 174):\n\n\\[901 \\times 170 = 901 \\times (17 \\times 10) = (901 \\times 17) \\times 10\\]\n\nNow, let's calculate \\(901 \\times 17\\)...
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2025-10-26
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.\n\nFirst, let's multiply 144 by 300:\n\n\\[144 \\times 300 = 43200\\]\n\nNext, let's multiply the result by 20:\n\n\\[43200 \\times 20 = 864000\\]\n\nSo, the solution to the multiplication equation \\(144 \\times 3...
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2025-10-26
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.\n\nFirst, let's multiply 986 by 5:\n\\[986 \\times 5 = 4930\\]\n\nNext, let's multiply the result by 100 (since \\(175 = 100 + 75\\) and we can split 175 into 100 and 75):\n\\[4930 \\times 100 = 493000\\]\n\nNow, l...
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2025-10-26
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 with an extra zero):\n \\[\n 593 \\times 700 = 415100\n \\]\n\n2. Next, let's subtract 593 from 415100:\n \\[\n 415100 - 593 = 414507\n \\]\n\nSo, th...
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2025-10-26
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 use the standard algorithm for multiplying numbers. Let's break it down step by step:\n\n1. First, multiply 436 by 6 (the units digit of 566):\n \\[\n 436 \\times 6 = 2616\n \\]\n\n2. Next, multiply 436 by 60 (the tens digit of 566, which is ...
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[ "", "", "", "" ]
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[ [ "247376" ], [ "28776" ], [ "28776" ], [ "2457166" ] ]
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2025-10-26
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 6 (since 260 = 20 + 40 and 40 = 4 * 10):\n \\[\n 2500 \\times 6 = 15000\n \\]\n\nSo, t...
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[ [ "15000" ], [ "150000" ], [ "15000" ], [ "150000" ] ]
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2025-10-26
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 ones digit of 538):\n \\[\n 669 \\times 8 = 5352\n \\]\n Write down 5352.\n\n2. Multiply 669 by 30 (the tens digit of 538):\n \\[\...
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[ "", "", "", "" ]
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2025-10-26
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 distributive property of multiplication over addition. Let's break it down:\n\n1. First, split 926 into two parts: 900 and 26.\n So, \\(926 = 900 + 26\\).\n\n2. Now, multiply 922 by each part separately:\n - \\(922 \\times 900\\)\n - ...
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[ "", "", "", "" ]
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2025-10-26
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 use the standard algorithm for multiplication. Let's break it down step by step:\n\n1. Multiply 195 by 3 (the ones digit of 803):\n \\[\n 195 \\times 3 = 585\n \\]\n\n2. Multiply 195 by 0 (the tens digit of 803):\n \\[\n 195 \\times 0 = 0...
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[ "", "", "", "" ]
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2025-10-26
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 algorithm for multiplication. Let's break it down step by step:\n\n1. First, multiply 388 by 4 (the ones digit of 234):\n \\[\n 388 \\times 4 = 1552\n \\]\n Write down 52 and carry over 15.\n\n2. Next, multiply 388 by 30 (t...
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[ "", "", "", "" ]
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2025-10-26
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:\n \\[\n 843 \\times 300 = 252900\n \\]\n\n2. Next, let's multiply 843 by 14:\n \\[\n 843 \\times 14 = 11762\n \\]\n\n3. Now, add the results from the two multipli...
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2025-10-26
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 882 - 82):\n\\[195 \\times 800 = 156000\\]\n\nNext, let's multiply 195 by 82:\n\\[195 \\times 82 = 15990\\]\n\nNow, add these two results togethe...
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[ "", "", "", "" ]
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2025-10-26
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 use the standard multiplication method or break it down into simpler steps. Here, I'll use the standard multiplication method:\n\n1. Write down the numbers one below the other:\n ```\n 605\n × 805\n ```\n\n2. Multiply each digit of th...
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2025-10-26
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\nFirst, let's multiply 701 by 300:\n\\[701 \\times 300 = 210300\\]\n\nNext, let's multiply 701 by 80 (which is the same as multiplying by 8 and then adding zero):\n\\[701 \\times 8 = 5608\\]\nThen add zero:\n\\[5...
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[ "", "", "", "" ]
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2025-10-26
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 break it down into simpler steps:\n\n1. First, let's multiply 939 by 600 (which is 624 - 24):\n \\[\n 939 \\times 600 = 563400\n \\]\n\n2. Next, let's multiply 939 by 24:\n \\[\n 939 \\times 24 = 22536\n \\]\n\n3. Now, add the results...
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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, ...
2025-10-26
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