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What is the solution to the long multiplication equation below? 10 x 37 Think step by step.
370
"{\"arg1\": 10, \"arg2\": 37, \"solution\": 370}"
[ { "content": "What is the solution to the long multiplication equation below?\n\n10 x 37\n\nThink step by step.", "role": "user" } ]
longmult
longmult_2dig
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[ "To solve the multiplication problem \\( 10 \\times 37 \\), we can follow these steps:\n\nStep 1: Break down the number 37 into its place values.\n - The digit 3 represents 3 tens (or 30).\n - The digit 7 represents 7 ones (or just 7).\n\nSo, we write 37 as:\n\\[ 37 = 30 + 7 \\]\n\nStep 2: Multiply each part of...
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[ "To solve the problem \\(10 \\times 37\\), we can follow these steps:\n\nStep 1: Recognize that multiplying any number by 10 simply adds a zero at the end of that number.\n - So, \\(10 \\times 37\\) means adding one more zero after 37.\n\nStep 2: Perform the multiplication inside the parentheses first (if necessa...
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[ "To solve this problem using long multiplication, we'll follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 10\nx 37\n------\n```\n\n### Step 2: Multiply each digit of the second number (37) by the top number (10).\n- First, multiply 10 by 7:\n \\[\n 10 \\times 7 = 70\n \\]\n \...
{"continuation_phrases": ["But I need to verify this.", "Wait, this result is"], "continuations": [" Let me correct my approach.\n\nWait... This looks right now, let me double check it again...\n\nLet's break down the multiplication correctly:\n\n1. **Multiply 10 by 7**:\n - \\( 10 \\times 7 = 70 \\)\n\n2. **Multiply...
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[ "To solve the multiplication problem \\(10 \\times 37\\), we can follow these steps:\n\nStep 1: Recognize that multiplying any number by 10 simply adds one zero at the end of the number.\nSo, if we have \\(10 \\times 37\\), it means adding two zeros after 37.\n\nStep 2: Write down 37 with two additional zeros added...
{"all_responses": ["To solve the multiplication problem \\(10 \\times 37\\), we can follow these steps:\n\nStep 1: Recognize that multiplying any number by 10 simply adds one zero at the end of the number.\nSo, if we have \\(10 \\times 37\\), it means adding two zeros after 37.\n\nStep 2: Write down 37 with two additio...
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[ true ]
[ "370" ]
{ "all_spans_summary": [ { "answer": "370", "context": "\\[ 10 \\times 37 = 370 \\]", "end_line": 12, "start_line": 12 }, { "answer": "370", "context": "Therefore, the final answer is \\(370\\).", "end_line": 15, "start_line": 15 } ], "empty_response...
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[ [ true, true ] ]
[ [ "370", "370" ] ]
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What is the solution to the long multiplication equation below? 66 x 91 Think step by step.
6006
"{\"arg1\": 66, \"arg2\": 91, \"solution\": 6006}"
[ { "content": "What is the solution to the long multiplication equation below?\n\n66 x 91\n\nThink step by step.", "role": "user" } ]
longmult
longmult_2dig
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[ "To solve the problem \\( 66 \\times 91 \\), we can follow these steps:\n\n### Step-by-Step Solution:\n\n**Step 1:** Break down the multiplication into smaller parts.\n\\[ 66 \\times 91 = (60 + 6) \\times 91 \\]\n\n**Step 2:** Distribute the multiplication across the terms inside the parentheses.\n\\[ (60 + 6) \\ti...
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[ "To solve the problem of multiplying 66 by 91 using long multiplication, follow these steps:\n\n### Step-by-Step Solution:\n\n**Step 1:** Write down the numbers one under the other.\n\n```\n 66\n × 91\n ------\n```\n\n**Step 2:** Multiply each digit of the bottom number (91) by the top number (66).\n\n#### ...
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[ "To solve the problem of multiplying two numbers (66 and 91), we can follow these steps:\n\n### Step-by-Step Solution:\n\n**Step 1:** Multiply the units digit of one number with the other's units digit.\n - Units digit of 66: 6\n - Units digit of 91: 1\n \n \\( 6 \\times 1 = 6 \\)\n\nSo far, our product loo...
{"continuation_phrases": ["Wait! I can double check this answer.", "But I need to verify this."], "continuations": [" Let me do it again carefully now.\n\nLet's break down the multiplication into smaller parts for clarity:\n\n#### First Digit Multiplication:\n- Multiply the first digits (6 from 66 and 9 from 91).\n\\[ ...
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[ "To solve the problem \\( 66 \\times 91 \\), we can use the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 66 by 1 (the rightmost digit of 91):**\n - \\( 66 \\times 1 = 66 \\)\n\n2. **Multiply 66 by 9 (the next digit of 91) and add the result from the previous step:**\n - First, cal...
{"all_responses": ["To solve the problem \\( 66 \\times 91 \\), we can use the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 66 by 1 (the rightmost digit of 91):**\n - \\( 66 \\times 1 = 66 \\)\n\n2. **Multiply 66 by 9 (the next digit of 91) and add the result from the previous step:**\n...
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[ false ]
[ "5946" ]
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[ [ "5946", "5946" ] ]
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What is the solution to the long multiplication equation below? 36 x 67 Think step by step.
2412
"{\"arg1\": 36, \"arg2\": 67, \"solution\": 2412}"
[ { "content": "What is the solution to the long multiplication equation below?\n\n36 x 67\n\nThink step by step.", "role": "user" } ]
longmult
longmult_2dig
null
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null
[ "To solve this problem, we need to perform the long multiplication of 36 and 67.\n\nStep 1: Multiply 36 by 7 (the ones digit of 67).\n 36 * 7 = 252\n\nStep 2: Write down 252 from Step 1.\nStep 3: Now multiply 36 by 60 (the tens digit of 67), but remember that this is actually multiplying by 6 because we're in the...
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[ "To solve the problem of multiplying 36 by 67 using long multiplication, follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers one above the other.\n ```\n 36\n × 67\n ```\n\n2. **Multiply 36 by 7**:\n - Multiply 36 by 7: \\( 36 \\times 7 = 252 \\)\n - Write down 252 under th...
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[ "To solve this problem using long multiplication, follow these steps:\n\n1. **Write down the numbers**: Write 36 on top and 67 below it, aligning them by their rightmost digits.\n\n ```\n 36\n × 67\n ```\n\n2. **Multiply each digit of the bottom number by the top number**:\n \n - First row: Multiply 6...
{"continuation_phrases": ["Hold on, let me verify this answer.", "But I need to verify this."], "continuations": [" \n 18\n + 210\n ------ \n 252\n ```\n\nWait for the verification step before proceeding further.\n\nSo now we have two parts above our multiplication line:\n```\n 18\n 210\n----...
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[ "To solve the problem of multiplying 36 and 67 using long multiplication, follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 36 \\\\\n \\times 67 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 36 by 7 (the units digit of 67):**\n \\[\n 36 \\times 7 = 252\n \\]\n W...
{"all_responses": ["To solve the problem of multiplying 36 and 67 using long multiplication, follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 36 \\\\\n \\times 67 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 36 by 7 (the units digit of 67):**\n \\[\n 36 \\times 7 = 25...
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[ false ]
[ "24120" ]
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[ [ "24120", "24120", "24120", "24120" ] ]
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What is the solution to the long multiplication equation below? 43 x 53 Think step by step.
2279
"{\"arg1\": 43, \"arg2\": 53, \"solution\": 2279}"
[ { "content": "What is the solution to the long multiplication equation below?\n\n43 x 53\n\nThink step by step.", "role": "user" } ]
longmult
longmult_2dig
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[ "To solve the problem of multiplying two numbers using long multiplication, we'll follow these steps:\n\n1. **Write down the numbers**: \n \\[\n \\begin{array}{c@{}c}\n & 43 \\\\\n \\times & 53 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the second number (53) with each digit of the first...
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[ "To solve the problem of multiplying 43 and 53 using long multiplication, follow these steps:\n\n1. **Write down the numbers**: \n ```\n 43\n × 53\n ```\n\n2. **Multiply each digit of the second number (53) by the first digit of the first number (4)**:\n - Multiply 4 by 3: \\( 4 \\times 3 = 12 \\)\n -...
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[ "To solve the problem \\(43 \\times 53\\), we can use the standard algorithm for multiplying two-digit numbers.\n\nHere's how it works step by step:\n\n1. **Multiply the ones place of both numbers:**\n - Multiply 3 (from 43) by 3 (from 53).\n \\[\n 3 \\times 3 = 9\n \\]\n - Write down this result as...
{"continuation_phrases": ["Wait, this result is", "But I need to verify this."], "continuations": [" wrong, let me correct myself):\n - First, calculate 4 multiplied by 3:\n \\[\n 4 \\times 3 = 12\n \\]\n - Since there's no carry-over yet, just write down 12 directly under the first product.\n...
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[ "To solve the multiplication problem \\(43 \\times 53\\), we can follow these steps:\n\n1. **Write down the numbers**: \n \\[\n 43 \\\\\n \\times 53\n \\]\n\n2. **Multiply each digit of the bottom number (53) by the top number (43)**:\n \n - Multiply 3 by 3:\n \\[\n 3 \\times 3 = 9\n \\]\n ...
{"all_responses": ["To solve the multiplication problem \\(43 \\times 53\\), we can follow these steps:\n\n1. **Write down the numbers**: \n \\[\n 43 \\\\\n \\times 53\n \\]\n\n2. **Multiply each digit of the bottom number (53) by the top number (43)**:\n \n - Multiply 3 by 3:\n \\[\n 3 \\times 3 = ...
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[ false ]
[ "2109" ]
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[ [ "2109", "2109" ] ]
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What is the solution to the long multiplication equation below? 33 x 34 Think step by step.
1122
"{\"arg1\": 33, \"arg2\": 34, \"solution\": 1122}"
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longmult
longmult_2dig
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["To solve the multiplication problem \\(33 \\times 34\\), we can break it down into simpler steps.\(...TRUNCATED)
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"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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"{\"continuation_phrases\": [\"But to confirm,\", \"Wait, how?\"], \"continuations\": [\" let\\u2019(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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[ false ]
[ "1290" ]
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[ [ false ] ]
[ [ "1290" ] ]
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What is the solution to the long multiplication equation below? 88 x 45 Think step by step.
3960
"{\"arg1\": 88, \"arg2\": 45, \"solution\": 3960}"
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longmult
longmult_2dig
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["To solve the problem of multiplying 88 by 45 using long multiplication, follow these steps:\n\n1. (...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve the problem of multiplying 88 by 45 using long multiplication, follow these steps:\n\n1. (...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem \\(88 \\times 45\\) using long multiplication, follow these steps:\n\n1. **Se(...TRUNCATED)
"{\"continuation_phrases\": [\"Wait! I can double check this answer.\", \"Hold on, let me verify thi(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["To solve the multiplication problem \\( 88 \\times 45 \\), we can break it down into simpler steps(...TRUNCATED)
"{\"all_responses\": [\"To solve the multiplication problem \\\\( 88 \\\\times 45 \\\\), we can brea(...TRUNCATED)
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What is the solution to the long multiplication equation below? 53 x 13 Think step by step.
689
"{\"arg1\": 53, \"arg2\": 13, \"solution\": 689}"
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["To solve the multiplication problem \\(53 \\times 13\\), we can follow these steps:\n\n### Step-by(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem of multiplying 53 by 13 using long multiplication, follow these steps:\n\nSte(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve the multiplication problem \\( 53 \\times 13 \\), we can follow these steps:\n\n### Step-(...TRUNCATED)
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"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["To solve the multiplication problem \\(53 \\times 13\\), we can follow these steps:\n\n### Step-by(...TRUNCATED)
"{\"all_responses\": [\"To solve the multiplication problem \\\\(53 \\\\times 13\\\\), we can follow(...TRUNCATED)
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[ true ]
[ "689" ]
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What is the solution to the long multiplication equation below? 87 x 87 Think step by step.
7569
"{\"arg1\": 87, \"arg2\": 87, \"solution\": 7569}"
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"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem of multiplying two-digit numbers like \\(87 \\times 87\\), you can follow the(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve the problem \\( 87 \\times 87 \\), we can follow these steps:\n\n1. **Write down the numb(...TRUNCATED)
"{\"all_responses\": [\"To solve the problem \\\\( 87 \\\\times 87 \\\\), we can follow these steps:(...TRUNCATED)
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[ [] ]
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{"empty_response":false,"error":null,"extraction_method":"llm_judge","internal_spans_detailed":[],"i(...TRUNCATED)
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What is the solution to the long multiplication equation below? 89 x 80 Think step by step.
7120
"{\"arg1\": 89, \"arg2\": 80, \"solution\": 7120}"
[{"content":"What is the solution to the long multiplication equation below?\n\n89 x 80\n\nThink ste(...TRUNCATED)
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["To solve the problem \\(89 \\times 80\\), we can follow these steps:\n\n1. **Multiply the digits w(...TRUNCATED)
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"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem \\( 89 \\times 80 \\), we can follow these steps:\n\n1. **Break down the numb(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve the problem of multiplying 89 by 80 using long multiplication, follow these steps:\n\n1. (...TRUNCATED)
"{\"continuation_phrases\": [\"But according to\", \"Hold on, let me verify this answer.\"], \"conti(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["To solve this problem using long multiplication:\n\n1. Write down the numbers one under the other:(...TRUNCATED)
"{\"all_responses\": [\"To solve this problem using long multiplication:\\n\\n1. Write down the numb(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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What is the solution to the long multiplication equation below? 23 x 58 Think step by step.
1334
"{\"arg1\": 23, \"arg2\": 58, \"solution\": 1334}"
[{"content":"What is the solution to the long multiplication equation below?\n\n23 x 58\n\nThink ste(...TRUNCATED)
longmult
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["To solve the multiplication problem \\( 23 \\times 58 \\), we can break it down into simpler steps(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem of multiplying two numbers using long multiplication, let's break it down int(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-mock_search_v2_first_attempt-(...TRUNCATED)
["To solve the problem of multiplying 23 and 58 using long multiplication, follow these steps:\n\n1.(...TRUNCATED)
"{\"continuation_phrases\": [\"Hold on, let me verify this answer.\", \"Hold on, let me verify this (...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["To solve this problem using long multiplication, we'll follow these steps:\n\n1. **Write down the (...TRUNCATED)
"{\"all_responses\": [\"To solve this problem using long multiplication, we'll follow these steps:\\(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:36429\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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[ "146" ]
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[ [ false ] ]
[ [ "146" ] ]
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[[{"answer_block":null,"comparison_type":null,"correct_answer":null,"error":null,"evaluation_method"(...TRUNCATED)
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