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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 long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply the number 10 by the number 37.\n\n### Step 2: Set Up the Multiplication\nWrite the numbers one under the other:\n```\n 10\n× 37\n------\n```\n\n### Step 3: Mu...
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[ "To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Set up the multiplication\nWe need to multiply the numbers in their expanded form:\n\\[ 10 \\times 37 = (10 \\times 3) + (10 \\times 7) \\]\n\n### Step 2: Multiply 10 by each digit of 37\n- First, multiply ...
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[ "To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply the numbers \\(10\\) and \\(37\\).\n\n### Step 2: Set Up the Multiplication\nWrite the numbers one under the other, aligning them by their place values:\n```\n ...
{"continuation_phrases": ["However,", "But I need to verify this."], "continuations": [" since we started with \\(10\\) and multiplied it by \\(37\\), we should have only considered the first part of the second number, which is \\(70\\). So, we add:\n```\n 10\nx 37\n------\n 70\n```\nThis gives us \\(70\\).\n\n##...
[ "To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply the numbers \\(10\\) and \\(37\\).\n\n### Step 2: Set Up the Multiplication\nWrite the numbers one under the other, aligning them by their place values:\n```\n ...
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[ "To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply 10 by 37.\n\n### Step 2: Set Up the Multiplication\nWrite 37 under the 10 and add a zero at the end of 37 to make it 370 for easier multiplication:\n```\n 370\...
{"all_responses": ["To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply 10 by 37.\n\n### Step 2: Set Up the Multiplication\nWrite 37 under the 10 and add a zero at the end of 37 to make it 370 for easier multiplication:...
[ "To solve the long multiplication problem \\(10 \\times 37\\), let's break it down into steps:\n\n### Step 1: Understand the Problem\nWe need to multiply 10 by 37.\n\n### Step 2: Set Up the Multiplication\nWrite 37 under the 10 and add a zero at the end of 37 to make it 370 for easier multiplication:\n```\n 370\...
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[ false ]
[ "30" ]
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[ false, false, true ]
[ "100", "73", "370" ]
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[{"answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false}, {"answer_block": null, "comparison_type": null, "correct_answer": null, "error": null...
[ false ]
[ "300" ]
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[{"answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false}]
[ false, false, false, false ]
[ "407", "407", "407", "1000" ]
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[ false, false, false ]
[ "100", null, "300" ]
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We gave the following question to a language model. We want you to look through the response it gave and find all the answer spans it produced. These may be within <answer> tags, \boxed{} values, or just plain text embedded in sentences like "The final answer is:". Your job is to find these spans and their context...
[ "{\"answer_spans\": [{\"context\": \"The final result of multiplying 10 by 37 is\", \"answer\": \"30\"}]}" ]
{ "api_url": "", "backend": "openai", "chat_template_applied": false, "generation_params": { "temperature": 0 }, "model_name": "gpt-4o-mini", "prompt": "We gave the following question to a language model. We want you to look through the response it gave and find all the answer spans it produced. \n\nT...
{ "backend": "openai", "model_name": "gpt-4o-mini", "n_responses": 1 }
[ "\\boxed{30}" ]
[ false ]
[ "30" ]
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[ { "answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false, "reason": null } ]
[ [ false ] ]
[ [ "30" ] ]
[ [ { "all_extracted_answers": [ "30" ], "all_extractions": [ "{'content': '30', 'start_pos': 7, 'end_pos': 9, 'phrase_pair': ('\\\\boxed{', ['}']), 'full_match': '30'}" ], "confidence": 0.9500000000000001, "extracted_answer": "30", "extractor": "strict_an...
[ [ { "answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false } ] ]
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
null
null
null
null
null
null
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null
null
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[ "To solve the long multiplication problem of 66 x 91, we will follow these steps:\n\nStep 1: Multiply the units digit of the first number (6) by the units digit of the second number (1).\n6 x 1 = 6\n\nStep 2: Multiply the tens digit of the first number (6) by the units digit of the second number (1), and then add t...
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{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_ppo_only_30ep-rl", "n_responses": 1}
[ "To solve the long multiplication problem \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically\n```\n 66\n × 91\n _______\n```\n\n### Step 2: Multiply 66 by 1 (the rightmost digit of 91)\n- First, multiply 66 by 1:\n ```\n 66\n × 1\n ______\n 66\n ...
{"api_url": "http://127.0.0.1:43275", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_ppo_only_30ep-rl", "prompt": [{"content": "What is the solution to ...
{"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_ppo_only_30ep-rl", "n_responses": 3}
[ "To solve the long multiplication problem \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 66\n × 91\n_______\n```\n\n### Step 2: Multiply 66 by the ones digit of 91 (which is 1).\n```\n 66\n × 91\n_______\n 660 (66 × 1)\n```\n\n### Step 3:...
{"continuation_phrases": ["However,", "However,"], "continuations": [" for easier calculation, let's first multiply 66 by 10 and then add the result of multiplying 66 by 9:\n- First, calculate \\(66 \\times 10 = 660\\).\n- Then, calculate \\(66 \\times 9 = 594\\).\n\nNow, add these two results together:\n```\n 660\n+...
[ "To solve the long multiplication problem \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 66\n × 91\n_______\n```\n\n### Step 2: Multiply 66 by the ones digit of 91 (which is 1).\n```\n 66\n × 91\n_______\n 660 (66 × 1)\n```\n\n### Step 3:...
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[ "To solve the long multiplication problem of \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 66\n × 91\n ----\n```\n\n### Step 2: Multiply 66 by 1 (the ones digit of 91).\n```\n 66\n × 1\n ----\n 66\n```\nSo, \\(66 \\times 1 = 66\\).\n...
{"all_responses": ["To solve the long multiplication problem of \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 66\n \u00d7 91\n ----\n```\n\n### Step 2: Multiply 66 by 1 (the ones digit of 91).\n```\n 66\n \u00d7 1\n ----\n 66\n```\nSo, \...
[ "To solve the long multiplication problem of \\(66 \\times 91\\), we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 66\n × 91\n ----\n```\n\n### Step 2: Multiply 66 by 1 (the ones digit of 91).\n```\n 66\n × 1\n ----\n 66\n```\nSo, \\(66 \\times 1 = 66\\).\n...
{"api_url": "http://127.0.0.1:43275", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "min_tokens": 10, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_ppo_only_30ep-rl", "prompt": [{"content": "What i...
[ false ]
[ "606" ]
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[ false, true, true ]
[ "660", "6006", "6006" ]
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[{"answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false}, {"answer_block": null, "comparison_type": null, "correct_answer": null, "error": null...
[ false ]
[ "1914" ]
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[ true, true, true, false ]
[ "6006", "6006", "6006", "6066" ]
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[ true, false, false ]
[ "6006", "1254", "1914" ]
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We gave the following question to a language model. We want you to look through the response it gave and find all the answer spans it produced. These may be within <answer> tags, \boxed{} values, or just plain text embedded in sentences like "The final answer is:". Your job is to find these spans and their context...
[ "{\"answer_spans\": [{\"context\": \"Therefore, the solution to the long multiplication equation 66 x 91 is\", \"answer\": \"606\"}]}" ]
{ "api_url": "", "backend": "openai", "chat_template_applied": false, "generation_params": { "temperature": 0 }, "model_name": "gpt-4o-mini", "prompt": "We gave the following question to a language model. We want you to look through the response it gave and find all the answer spans it produced. \n\nT...
{ "backend": "openai", "model_name": "gpt-4o-mini", "n_responses": 1 }
[ "\\boxed{606}" ]
[ false ]
[ "606" ]
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[ [ false ] ]
[ [ "606" ] ]
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[ [ { "answer_block": null, "comparison_type": null, "correct_answer": null, "error": null, "evaluation_method": "legacy", "extracted_answer": null, "final_answer": null, "is_correct": null, "is_equivalent": null, "legacy_result": false } ] ]
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 ste(...TRUNCATED)
longmult
longmult_2dig
null
null
null
null
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null
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["To solve the long multiplication problem of 36 x 67, we will follow these steps:\n\n1. **Set up th(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:43275\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_ppo_only_30ep-r(...TRUNCATED)
["To solve the long multiplication problem of 36 x 67, we'll follow these steps:\n\n1. **Set up the (...TRUNCATED)
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What is the solution to the long multiplication equation below? 43 x 53 Think step by step.
2279
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What is the solution to the long multiplication equation below? 33 x 34 Think step by step.
1122
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["To solve the long multiplication problem of 33 x 34, we will follow these steps:\n\n1. **Set up th(...TRUNCATED)
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What is the solution to the long multiplication equation below? 88 x 45 Think step by step.
3960
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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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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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["To solve the long multiplication problem of 87 x 87, we will follow these steps:\n\n1. **Set up th(...TRUNCATED)
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What is the solution to the long multiplication equation below? 89 x 80 Think step by step.
7120
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What is the solution to the long multiplication equation below? 23 x 58 Think step by step.
1334
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