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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
756 x 322 | 243432 | longmult_3dig | longmult | [
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"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 of 756 and 322, we can break it down into simpler steps:\n\n1. **Break Down Multiplication**:\n - First, let's consider breaking down the numbers for easier calculation.\n \n2. **Alternative Breakdown**:\n - We know that \\(756 = 700 + 56\\) and \\(322 = 300 + 22\\).\n So,\n ... | [
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... | 2025-11-10 |
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 use various methods such as long multiplication or breaking down one of the numbers into smaller parts that make calculations easier. Let's explore both approaches:\n\n### Method 1: Long Multiplication\nWe'll multiply each digit of 726 by each digi... | [
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... | 2025-11-10 |
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\n### Step 1: Break Down 133\nWe know that \\(133 = 100 + 30 + 3\\). This allows us to distribute our multiplication across these components.\n\\[520 \\times (100 + 30 + 3)\\]\n\n### Step 2: Distribute Across Each... | [
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... | 2025-11-10 |
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 of 420 and 680, we can break it down into simpler steps:\n\n1. **Break Down Multiplication**:\n - First, let’s consider breaking down each number into more manageable parts.\n \\[\n 420 = 400 + 20 \\\\\n 680 = 700 - 20\n \\]\n \n2. **Apply Distributive Property**:\n ... | [
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... | 2025-11-10 |
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 of 835 and 429, we can break it down into simpler steps using the distributive property of multiplication over addition:\n\n1. **Break Down 429**: We know that \\(429 = 400 + 20 + 9\\). This will help us distribute the multiplication more easily.\n \n So,\n \\[\n 835 \\times (40... | [
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... | 2025-11-10 |
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 of two numbers (593 and 797), we can use the standard algorithm for multiplying large numbers or break them down into smaller parts for easier calculation. Let's go through both methods:\n\n### Method 1: Standard Multiplication Algorithm\nWe multiply each digit of one number by each dig... | [
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... | 2025-11-10 |
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 break it down into smaller steps for easier calculation:\n\n### Step 1: Break Down the Numbers\nWe start by breaking down each number into more manageable parts.\n- \\(451\\) can be broken down as \\(400 + 50 + 1\\).\n- \\(158\\) remains unchanged ... | [
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308 x 984 | 303072 | longmult_3dig | longmult | [
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"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} | [
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600 x 871 | 522600 | longmult_3dig | longmult | [
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"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} | [
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414 x 772 | 319608 | longmult_3dig | longmult | [
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"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} | [
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901 x 174 | 156774 | longmult_3dig | longmult | [
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"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} | [
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... | 2025-11-10 |
144 x 320 | 46080 | longmult_3dig | longmult | [
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... | 2025-11-10 |
986 x 175 | 172550 | longmult_3dig | longmult | [
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"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} | [
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... | 2025-11-10 |
593 x 672 | 398496 | longmult_3dig | longmult | [
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"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} | [
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... | 2025-11-10 |
436 x 566 | 246776 | longmult_3dig | longmult | [
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"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 of 436 and 566, we can break it down into simpler steps:\n\n1. **Break Down Multiplication**:\n - First, let’s consider breaking the numbers into smaller parts that might be easier to multiply.\n \n2. **Use Distributive Property**:\n - We can use the distributive property of multi... | [
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... | 2025-11-10 |
125 x 260 | 32500 | longmult_3dig | longmult | [
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"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} | [
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... | 2025-11-10 |
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 of 669 and 538, we can break it down into simpler steps:\n\n1. **Break Down Multiplication**:\n - First, let’s consider breaking down each number for easier calculation.\n \n2. **Multiplying Hundreds Place**:\n - Multiply 600 (from 669) by 500 (from 538):\n \\[\n 600 \\tim... | [
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... | 2025-11-10 |
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 of 922 and 926, we can break it down into simpler steps:\n\n1. **Break Down the Numbers**: \n - We know that \\( 922 = 900 + 22 \\) and \\( 926 = 900 + 26 \\).\n\n2. **Use Distributive Property**:\n - The distributive property allows us to distribute one number across another when m... | [
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false,
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... | 2025-11-10 |
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 of \\(195 \\times 803\\), we can use the standard algorithm for multiplying numbers:\n\nStep 1: Multiply 195 by 3 (the units digit of 803).\n\\[ 195 \\times 3 = 585 \\]\n\nStep 2: Multiply 195 by 0 (the tens digit of 803) and shift one place to the left.\n\\[ 195 \\times 0 = 0 \\]\n\\[ ... | [
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... | 2025-11-10 |
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