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[ { "content": "What is the solution to the long multiplication equation below?\n\n109 x 596\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step by step:\n\n### Step 1: Set up the multiplication problem\nWe have \\( 109 \\times 596 \\).\n\n###...
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[ { "content": "What is the solution to the long multiplication equation below?\n\n907 x 424\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the long multiplication problem \\( 907 \\times 424 \\) step by step.\n\n### Step-by-Step Solution:\n\n#### ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1024, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1037, "mask_label": true, "name": "glue_phrase", "start": 1024 }, { "end": 1091, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n798 x 462\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step-by-step:\n\n1) First, let's write down our numbers:\n 798\n × 462\n\n2) We'll start from the r...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1230, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1243, "mask_label": true, "name": "glue_phrase", "start": 1230 }, { "end": 1297, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n111 x 267\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 111 \\times 267 \\), we can use the standard method of long multiplication. Let's break it down step-by-step:\n\n### S...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 988, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1001, "mask_label": true, "name": "glue_phrase", "start": 988 }, { "end": 1055, "mask_label": true...
[ { "content": "What is the solution to the long multiplication equation below?\n\n688 x 900\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(688 \\times 900\\), let's break it down into manageable steps:\n\n### Step 1: Understan...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 916, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 929, "mask_label": true, "name": "glue_phrase", "start": 916 }, { "end": 983, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n484 x 264\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this problem using long multiplication step by step.\n\n### Step 1: Set up the problem\nWe need to multiply ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1090, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1103, "mask_label": true, "name": "glue_phrase", "start": 1090 }, { "end": 1157, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n966 x 751\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\( 966 \\times 751 \\), we can break it down into smaller steps for easier calculation.\n\n###...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 757, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 770, "mask_label": true, "name": "glue_phrase", "start": 757 }, { "end": 824, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n955 x 298\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the multiplication problem \\( 955 \\times 298 \\) step by step.\n\n### Step 1: Break down the numbers\nFirs...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1286, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1299, "mask_label": true, "name": "glue_phrase", "start": 1286 }, { "end": 1353, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n941 x 477\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 941 \\times 477 \\), we can break it down into simpler steps using the distributive property of multiplication over ad...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1163, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1176, "mask_label": true, "name": "glue_phrase", "start": 1163 }, { "end": 1230, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n461 x 884\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of 461 x 884, we can break it down into simpler steps:\n\n### Step 1: Break down 884 into easier p...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1250, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1263, "mask_label": true, "name": "glue_phrase", "start": 1250 }, { "end": 1317, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n888 x 386\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of 888 and 386, we'll break it down into smaller steps:\n\n### Step 1: Multiply 888 by 6 (the ones...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 925, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 938, "mask_label": true, "name": "glue_phrase", "start": 925 }, { "end": 992, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n952 x 977\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this long multiplication problem step by step:\n\n### Step-by-Step Solution for \\( 952 \\times 977 \\):\n\n...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1132, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1145, "mask_label": true, "name": "glue_phrase", "start": 1132 }, { "end": 1199, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n257 x 551\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem of \\( 257 \\times 551 \\), we will break it down into simpler steps and perform each mult...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 627, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 640, "mask_label": true, "name": "glue_phrase", "start": 627 }, { "end": 694, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n575 x 666\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(575 \\times 666\\), you can follow these steps:\n\n### Step-by-Step Solution:\n\n1. **Break ...
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[ { "content": "What is the solution to the long multiplication equation below?\n\n957 x 607\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 957 \\times 607 \\), we can break it down into simpler steps using the distributive property of multiplication over ad...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1063, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1076, "mask_label": true, "name": "glue_phrase", "start": 1063 }, { "end": 1130, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n531 x 617\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this long multiplication problem step by step.\n\n### Step-by-Step Solution:\n\n#### First, let's write down...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1228, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1241, "mask_label": true, "name": "glue_phrase", "start": 1228 }, { "end": 1295, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n145 x 259\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of 145 and 259, we'll break it down into steps similar to how you would multiply smaller numbers.\...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 869, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 882, "mask_label": true, "name": "glue_phrase", "start": 869 }, { "end": 936, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n335 x 559\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\( 335 \\times 559 \\), we can break it down into smaller steps:\n\n1. **Break down the number...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 936, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 949, "mask_label": true, "name": "glue_phrase", "start": 936 }, { "end": 1003, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n376 x 161\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(376 \\times 161\\), you can break it down into simpler steps using the distributive property...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 756, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 769, "mask_label": true, "name": "glue_phrase", "start": 756 }, { "end": 823, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n500 x 560\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\(500 \\times 560\\) using long multiplication:\n\n1. **Multiply the units digit of each number:**\n - The units digits...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 989, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1002, "mask_label": true, "name": "glue_phrase", "start": 989 }, { "end": 1056, "mask_label": true...
[ { "content": "What is the solution to the long multiplication equation below?\n\n666 x 698\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the multiplication problem \\( 666 \\times 698 \\) step by step.\n\n### Step 1: Set up the multiplication\nW...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1121, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1134, "mask_label": true, "name": "glue_phrase", "start": 1121 }, { "end": 1188, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n850 x 950\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this long multiplication problem step by step.\n\nThe expression we're working with is:\n\\[ 850 \\times 950...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 780, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 793, "mask_label": true, "name": "glue_phrase", "start": 780 }, { "end": 847, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n560 x 985\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this problem step by step.\n\n### Step 1: Break down the numbers into smaller parts.\nWe can break down the ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1376, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1389, "mask_label": true, "name": "glue_phrase", "start": 1376 }, { "end": 1443, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n866 x 314\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of 866 and 314, we'll break it down into steps.\n\n### Step 1: Break Down Multiplication\n\nFirst,...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1268, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1281, "mask_label": true, "name": "glue_phrase", "start": 1268 }, { "end": 1335, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n574 x 661\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 574 \\times 661 \\), we can use the standard method of long multiplication.\n\nHere's how you do it step by step:\n\n1...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1252, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1265, "mask_label": true, "name": "glue_phrase", "start": 1252 }, { "end": 1319, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n469 x 497\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(469 \\times 497\\), we can break it down into simpler steps using place value and properties...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 820, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 833, "mask_label": true, "name": "glue_phrase", "start": 820 }, { "end": 887, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n751 x 583\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the long multiplication problem \\(751 \\times 583\\) step by step.\n\n### Step 1: Multiply 751 by 3 (the on...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 960, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 973, "mask_label": true, "name": "glue_phrase", "start": 960 }, { "end": 1027, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n400 x 371\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's break down the multiplication of 400 and 371 into steps.\n\n### Step-by-Step Solution:\n\n#### Step 1: Multiply 40...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 989, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1002, "mask_label": true, "name": "glue_phrase", "start": 989 }, { "end": 1056, "mask_label": true...
[ { "content": "What is the solution to the long multiplication equation below?\n\n513 x 169\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of \\(513 \\times 169\\), we'll break it down into simpler steps:\n\n### Step 1: Break Down the Nu...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 962, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 975, "mask_label": true, "name": "glue_phrase", "start": 962 }, { "end": 1029, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n328 x 781\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the multiplication problem \\(328 \\times 781\\) step-by-step.\n\n### Step 1: Break down the numbers into sm...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 481, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 494, "mask_label": true, "name": "glue_phrase", "start": 481 }, { "end": 548, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n875 x 500\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the problem of multiplying 875 by 500, we can follow these steps:\n\n1. **Break down the numbers:**\n - \\(875\\) and \\...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1154, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1167, "mask_label": true, "name": "glue_phrase", "start": 1154 }, { "end": 1221, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n169 x 638\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\(169 \\times 638\\), we can break it down into simpler steps using the distributive property of multiplication over addi...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 677, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 690, "mask_label": true, "name": "glue_phrase", "start": 677 }, { "end": 744, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n840 x 867\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of \\(840 \\times 867\\), we can break it down into smaller steps as follows:\n\n1. **Break down 8...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 961, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 974, "mask_label": true, "name": "glue_phrase", "start": 961 }, { "end": 1028, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n452 x 759\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(452 \\times 759\\), we will break it down into smaller steps and perform each multiplic...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1308, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1321, "mask_label": true, "name": "glue_phrase", "start": 1308 }, { "end": 1375, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n831 x 365\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\( 831 \\times 365 \\), we'll break it down into simpler steps and perform the calculations in...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1161, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1174, "mask_label": true, "name": "glue_phrase", "start": 1161 }, { "end": 1228, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n263 x 255\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step by step:\n\n### Step 1: Break down the numbers into simpler parts.\n- We can break down 263 and 25...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 934, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 947, "mask_label": true, "name": "glue_phrase", "start": 934 }, { "end": 1001, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n921 x 539\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 921 \\times 539 \\), you can break it down into simpler multiplications and then add them together.\n\nFirst, let's br...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1200, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1213, "mask_label": true, "name": "glue_phrase", "start": 1200 }, { "end": 1267, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n283 x 827\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of \\(283 \\times 827\\), follow these steps:\n\n1. **Write down the numbers:**\n ```\n 28...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1866, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1879, "mask_label": true, "name": "glue_phrase", "start": 1866 }, { "end": 1933, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n513 x 442\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 513 \\times 442 \\), we can break it down into simpler steps:\n\n### Step 1: Break down the numbers\nWe can think of t...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1137, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1150, "mask_label": true, "name": "glue_phrase", "start": 1137 }, { "end": 1204, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n206 x 139\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\( 206 \\times 139 \\), we can break it down into simpler steps using the distributive propert...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 758, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 771, "mask_label": true, "name": "glue_phrase", "start": 758 }, { "end": 825, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n112 x 682\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(112 \\times 682\\), we can break it down into smaller steps for easier calculation:\n\n### S...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1189, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1202, "mask_label": true, "name": "glue_phrase", "start": 1189 }, { "end": 1256, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n585 x 631\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this problem step-by-step.\n\n### Step 1: Set up the multiplication problem.\nWe have \\( 585 \\times 631 \\...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1054, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1067, "mask_label": true, "name": "glue_phrase", "start": 1054 }, { "end": 1121, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n296 x 580\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\(296 \\times 580\\), we can break it down into simpler steps using the distributive property of multiplication over addi...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 624, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 637, "mask_label": true, "name": "glue_phrase", "start": 624 }, { "end": 691, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n424 x 365\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve the multiplication problem \\(424 \\times 365\\) step by step.\n\n### Step 1: Break down the numbers into pa...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1274, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1287, "mask_label": true, "name": "glue_phrase", "start": 1274 }, { "end": 1341, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n635 x 756\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(635 \\times 756\\), we can break it down into simpler steps using the distributive property ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1395, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1408, "mask_label": true, "name": "glue_phrase", "start": 1395 }, { "end": 1462, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n862 x 140\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of \\( 862 \\times 140 \\), we'll follow these steps:\n\n### Step 1: Break down the problem into s...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 837, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 850, "mask_label": true, "name": "glue_phrase", "start": 837 }, { "end": 904, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n601 x 245\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(601 \\times 245\\), we'll break it down into smaller steps:\n\n### Step-by-Step Solutio...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1477, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1490, "mask_label": true, "name": "glue_phrase", "start": 1477 }, { "end": 1544, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n340 x 129\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(340 \\times 129\\), we will follow these steps:\n\n1. **Break down the numbers**: \n ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 695, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 708, "mask_label": true, "name": "glue_phrase", "start": 695 }, { "end": 762, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n352 x 328\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step-by-step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n\\[ 352 \\times ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1162, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1175, "mask_label": true, "name": "glue_phrase", "start": 1162 }, { "end": 1229, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n685 x 481\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 685 \\times 481 \\), we can break it down into simpler multiplications using the distributive property of multiplicati...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1213, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1226, "mask_label": true, "name": "glue_phrase", "start": 1213 }, { "end": 1280, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n603 x 302\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 603 \\times 302 \\), we can use the standard algorithm for multiplying numbers.\n\nStep 1: Break down the problem into...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1295, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1308, "mask_label": true, "name": "glue_phrase", "start": 1295 }, { "end": 1362, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n676 x 159\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(676 \\times 159\\), we'll break it down into simpler steps:\n\n### Step 1: Break Down t...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1097, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1110, "mask_label": true, "name": "glue_phrase", "start": 1097 }, { "end": 1164, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n918 x 616\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\( 918 \\times 616 \\), we can break it down into smaller steps and use the distributive prope...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 979, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 992, "mask_label": true, "name": "glue_phrase", "start": 979 }, { "end": 1046, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n694 x 197\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step-by-step:\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n- The first numb...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 963, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 976, "mask_label": true, "name": "glue_phrase", "start": 963 }, { "end": 1030, "mask_label": true,...
[ { "content": "What is the solution to the long multiplication equation below?\n\n938 x 901\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\(938 \\times 901\\), we can break it down into simpler steps using the distributive property of multiplication over addi...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1344, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1357, "mask_label": true, "name": "glue_phrase", "start": 1344 }, { "end": 1411, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n551 x 134\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(551 \\times 134\\), we'll break it down into manageable steps and multiply each digit o...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1037, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1050, "mask_label": true, "name": "glue_phrase", "start": 1037 }, { "end": 1104, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n868 x 292\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 868 \\times 292 \\), we can break it down into smaller steps using the distributive property of multiplication over ad...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1198, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1211, "mask_label": true, "name": "glue_phrase", "start": 1198 }, { "end": 1265, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n509 x 349\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\(509 \\times 349\\), we can break it down into simpler multiplications using place value understanding and properties of...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 767, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 780, "mask_label": true, "name": "glue_phrase", "start": 767 }, { "end": 834, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n632 x 206\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step by step.\n\n### Step 1: Understand the problem\nWe need to multiply two numbers:\n- The first numb...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1180, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1193, "mask_label": true, "name": "glue_phrase", "start": 1180 }, { "end": 1247, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n233 x 180\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\(233 \\times 180\\), we can break it down into smaller steps using the distributive prop...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 929, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 942, "mask_label": true, "name": "glue_phrase", "start": 929 }, { "end": 996, "mask_label": true, ...
[ { "content": "What is the solution to the long multiplication equation below?\n\n690 x 841\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication of \\(690 \\times 841\\), we will break it down into simpler steps:\n\n### Step-by-Step Solution:\...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1484, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1497, "mask_label": true, "name": "glue_phrase", "start": 1484 }, { "end": 1551, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n270 x 181\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step by step:\n\n### Step 1: Set up the problem\nWe have \\(270 \\times 181\\).\n\n### Step 2: Break do...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1415, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1428, "mask_label": true, "name": "glue_phrase", "start": 1415 }, { "end": 1482, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n704 x 503\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this problem step by step.\n\n### Step-by-Step Solution:\n\n1. **Break down the numbers:**\n - \\(704\\) c...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1192, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1205, "mask_label": true, "name": "glue_phrase", "start": 1192 }, { "end": 1259, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n945 x 106\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the multiplication problem \\(945 \\times 106\\), we can break it down into simpler steps using the distributive property ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1000, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1013, "mask_label": true, "name": "glue_phrase", "start": 1000 }, { "end": 1067, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n428 x 786\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve \\( 428 \\times 786 \\), we can break it down into simpler steps using the distributive property of multiplication over ad...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1327, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1340, "mask_label": true, "name": "glue_phrase", "start": 1327 }, { "end": 1394, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n655 x 397\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nTo solve the long multiplication problem \\( 655 \\times 397 \\), we'll break it down into manageable steps:\n\n### Step 1: Break d...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 1647, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 1660, "mask_label": true, "name": "glue_phrase", "start": 1647 }, { "end": 1714, "mask_label": tr...
[ { "content": "What is the solution to the long multiplication equation below?\n\n201 x 176\n\nThink step by step.", "role": "user" }, { "content": "<think>\n[SAMPLE]\n\nCertainly! Let's solve this step by step:\n\n### Step 1: Break down the numbers into smaller parts.\nWe can break down each number ...
[ { "end": 10, "mask_label": true, "name": "glue_phrase", "start": 0 }, { "end": 804, "mask_label": true, "name": "good_trace", "start": 10 }, { "end": 817, "mask_label": true, "name": "glue_phrase", "start": 804 }, { "end": 871, "mask_label": true, ...
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