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string
answer
string
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answer_index
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id
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prompt__few_shot
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original_answer
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string
source
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variant
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difficulty
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model_responses__greedy
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llm_extracted_answer_spans_prompt__llm_extracted_answer_spans__metadata
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model_responses__greedy__internal_answers__eval_extracted_answers
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model_responses__greedy__internal_answers__eval_extraction_metadata
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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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[ "Certainly! Let's solve this step by step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n- The first number is \\(10\\).\n- The second number is \\(37\\).\n\n### Step 2: Break Down the Multiplication\nTo make it easier, we can break down the problem into smaller parts:\n\n\\[ 10 \\times 3...
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[ "Certainly! Let's solve this step by step.\n\n### Step 1: Understand the problem\nWe need to multiply two numbers:\n- The first number is \\(10\\).\n- The second number is \\(37\\).\n\n### Step 2: Break down the multiplication\nTo make it easier, we can break down the multiplication into simpler steps:\n\n#### Firs...
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[ "To solve the long multiplication problem \\( 10 \\times 37 \\), we can follow these steps:\n\nStep 1: Write down the numbers in columns, with one number on top and the other under it.\n```\n 37\n × 10\n------\n```\n\nStep 2: Multiply the digit at the bottom (7) by each digit of the top number (including the ...
{"continuation_phrases": ["However,", "Wait! I can double check this answer."], "continuations": [" since we already have zeros before the 7, they don't add anything.\n\nSo, the final result is:\n```\n 37\n \u00d7 10\n------\n 370\n```\n\nTherefore, \\( 10 \\times 37 = 370 \\).", " Let's do it again properly us...
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[ "Certainly! Let's solve the long multiplication problem \\( 10 \\times 37 \\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n\\[\n\\begin{array}{c@{}c}\n & 10 \\\\\n\\times & 37 \\\\\n\\end{array}\n\\]\n\n#### Step 2: Multiply 10 by each digit of 37 separately.\n- First, mul...
{"all_responses": ["Certainly! Let's solve the long multiplication problem \\( 10 \\times 37 \\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n\\[\n\\begin{array}{c@{}c}\n & 10 \\\\\n\\times & 37 \\\\\n\\end{array}\n\\]\n\n#### Step 2: Multiply 10 by each digit of 37 separately...
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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 solution to the multiplication problem 10 x 37 is:\", \"answer\": \"100\"}, {\"context\": \"10 x 37 = 100\", \"answer\": \"100\"}, {\"context\": \"30 + 70 = 100\", \"answer\": \"100\"}, {\"context\": \"10 x 3 = 30\", \"answer\": \"30\"}, {\"context\": \"10 x 7 = 70\", \"answ...
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[ false ]
[ "10 \\times 37 = 100" ]
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[ [ false ] ]
[ [ "10 \\times 37 = 100" ] ]
{ "empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [ { "answer": "10 \\times 37 = 100", "context": "Line 30, final solution to the multiplication problem", "end_line": 30, "end_pos": 735, "start_line": 30, "start_pos": 711 } ], "...
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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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[ "" ]
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[ "Certainly! Let's solve this problem using long multiplication.\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication:**\n ```\n 66\n × 91\n ------\n ```\n\n2. **Multiply each digit of the bottom number (91) with each digit of the top number (66):**\n\n - Multiply 66 by 1 (the units digi...
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[ "Certainly! Let's solve the multiplication problem \\(66 \\times 91\\) step-by-step.\n\n### Step 1: Break down the numbers into smaller parts.\nWe can break down each number into its tens and ones place values:\n- \\(66 = 60 + 6\\)\n- \\(91 = 90 + 1\\)\n\n### Step 2: Multiply each part of the first number by each p...
{"continuation_phrases": ["Wait, how?", "But according to"], "continuations": [" No, let's correct it here:\n - Correcting the previous mistake, I should have added \\(540\\) directly after \\(5460\\), so:\n \\[5460 + 540 = 5900\\]\n But then adding the last term correctly:\n \\[5900 + 6 = 5906\\]\n\nSo, ...
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[ "Certainly! Let's solve this step-by-step:\n\n1) First, let's write out the numbers we're multiplying:\n 66\n x 91\n\n2) To multiply these two numbers, we can use the distributive property of multiplication over addition:\n (60 + 6) * (90 + 1)\n\n3) Now, distribute each part of one number across both parts of...
{"all_responses": ["Certainly! Let's solve this step-by-step:\n\n1) First, let's write out the numbers we're multiplying:\n 66\n x 91\n\n2) To multiply these two numbers, we can use the distributive property of multiplication over addition:\n (60 + 6) * (90 + 1)\n\n3) Now, distribute each part of one number acros...
{"api_url": "http://127.0.0.1:41425", "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/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "What is the solution to...
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\": \"To solve 66 x 91, we can break it down into smaller parts. First, we can multiply 66 by 90 and then by 1.\", \"answer\": \"66 x 90\"}, {\"context\": \"Next, we calculate 66 x 90, which is 5940.\", \"answer\": \"5940\"}, {\"context\": \"Now, we add the result of 66 x 1, which is ...
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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
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[ "Certainly! Let's solve this problem step by step.\n\n### Step 1: Set up the multiplication\nWe need to multiply 36 by 67.\n\n```\n 36\nx 67\n------\n```\n\n### Step 2: Multiply 36 by 7 (the units digit of 67)\n```\n 36\nx 67\n------\n 456 (36 * 7 = 252, write down 252 and carry over 4)\n```\n\n### Ste...
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[ "Certainly! Let's solve the long multiplication problem for \\( 36 \\times 67 \\) step by step.\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication:**\n ```\n 36\n × 67\n ------\n ```\n\n2. **Multiply 36 by 7 (the units digit of 67):**\n - \\( 36 \\times 7 = 252 \\)\n - Write down 252...
{"api_url": "http://127.0.0.1:41425", "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/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"content": "What is the solution to the long multipli...
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[ "To solve the long multiplication of 36 and 67, we'll break it down into manageable steps:\n\n1) First, let's write out the numbers:\n 36\n × 67\n -----\n\n2) Multiply 36 by each digit in 67, starting from the right.\n\n36 x 7 = 252 (write down 252)\n\nNow, bring down zero because there's an extra zero at the...
{"continuation_phrases": ["Hold on, let me verify this answer.", "Wait, how?"], "continuations": [" The correct sum should be:\n\nLet's do it again carefully:\n\n36 x 7 = 252 (write down 252)\n\nNow, multiply 36 by 60 (which is just adding two zeros after 6):\n\n36 x 60 = 2160 (carry over 160)\n\nFinally, add these tog...
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[ "Certainly! Let's solve the long multiplication problem \\( 36 \\times 67 \\) step by step.\n\n### Step 1: Set up the multiplication\nWrite down the numbers one under the other:\n```\n 36\n× 67\n------\n```\n\n### Step 2: Multiply each digit of the bottom number by the top number\n- First, multiply 6 (from 67)...
{"all_responses": ["Certainly! Let's solve the long multiplication problem \\( 36 \\times 67 \\) step by step.\n\n### Step 1: Set up the multiplication\nWrite down the numbers one under the other:\n```\n 36\n\u00d7 67\n------\n```\n\n### Step 2: Multiply each digit of the bottom number by the top number\n- First, ...
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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 product of 36 and 67 is\", \"answer\": \"2412\"}]}" ]
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[ true ]
[ "2412" ]
{ "all_spans_summary": [ { "answer": "2412", "context": "Therefore, the product of 36 and 67 is **2412**.", "end_line": 43, "start_line": 43 } ], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": { "answer": "2412", "context": "Therefore, the...
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[ [ true ] ]
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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
null
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[ "Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n- The first number is 43.\n- The second number is 53.\n\n### Step 2: Set Up the Multiplication\nWrite down the numbers one under the other:\n\n```\n 43\n × 53\n```\n\n### Step 3: Multipl...
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{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 1}
[ "Certainly! Let's solve this step-by-step:\n\n1) First, we need to understand that multiplying two numbers involves adding one number to itself as many times as the other number indicates.\n\n2) So, for \\(43 \\times 53\\), we're going to add 43 to itself 53 times (and also add 53 to itself 43 times).\n\n3) We can ...
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[ "To solve the long multiplication problem \\(43 \\times 53\\), we can break it down into simpler steps:\n\n1. **Break Down the Multiplication**:\n - Multiply 40 (the tens digit of 43) by 53.\n - Then multiply 3 (the ones digit of 43) by 53.\n\n2. **Calculate Each Part**:\n - First part: \\(40 \\times 53 = 40 ...
{"continuation_phrases": ["Wait, this result is", "Wait, how?"], "continuations": [" incorrect because I made a mistake in my initial breakdown. Let's correct that and do it again carefully.\n\nLet's redo it correctly:\n\n- First part: \\(40 \\times 53\\) should be calculated as \\(40 \\times 50 = 2000\\) and \\(40 \\t...
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[ "Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Multiplication Problem\nWe need to multiply two numbers:\n- The first number is \\( 43 \\)\n- The second number is \\( 53 \\)\n\n### Step 2: Set Up the Multiplication\n\\[\n\\begin{array}{r}\n 43 \\\\\n\\times 53 \\\\\n\\hline\n\\en...
{"all_responses": ["Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Multiplication Problem\nWe need to multiply two numbers:\n- The first number is \\( 43 \\)\n- The second number is \\( 53 \\)\n\n### Step 2: Set Up the Multiplication\n\\[\n\\begin{array}{r}\n 43 \\\\\n\\times 53 \\\\...
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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\": \"So, \\\\( 43 \\\\times 53 = 2279 \\\\).\", \"answer\": \"2279\"}, {\"context\": \"The product of \\\\( 43 \\\\times 53 \\\\) is **2279**.\", \"answer\": \"2279\"}]}" ]
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{ "backend": "openai", "model_name": "gpt-4o-mini", "n_responses": 1 }
[ true ]
[ "2279" ]
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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}\""
[ { "content": "What is the solution to the long multiplication equation below?\n\n33 x 34\n\nThink step by step.", "role": "user" } ]
longmult
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[ "Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n- The first number is 33.\n- The second number is 34.\n\n### Step 2: Set Up the Multiplication\nWrite down the numbers one under the other:\n\n```\n 33\n × 34\n```\n\n### Step 3: Multipl...
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[ "Certainly! Let's solve this step by step:\n\n1) First, let's write out the multiplication problem:\n 33 x 34\n\n2) We can break down the multiplication into simpler steps using the distributive property of multiplication over addition.\n\n3) Break it up like this:\n (30 + 3) x (30 + 4)\n\n4) Apply the distribu...
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[ "To solve the long multiplication problem \\(33 \\times 34\\), let's break it down into manageable steps:\n\n### Step 1: Set up the multiplication\n```\n 33\n × 34\n-----------------\n```\n\n### Step 2: Multiply each digit of the second number (34) by the first number (33)\n- First, multiply 33 by 4:\n ```\n...
{"continuation_phrases": ["Wait, how?", "But to confirm,"], "continuations": [" Let me explain this step-by-step.\n\n#### Correct Calculation:\nLet's re-calculate carefully:\n- First, calculate \\(33 \\times 4 = 132\\).\n- Then, calculate \\(33 \\times 30 = 990\\).\n\nNow add these two products:\n```\n 132\n+ 990\n---...
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[ "To solve the long multiplication problem \\(33 \\times 34\\), let's break it down into steps:\n\n1. **Break down the numbers**: We can think of this as multiplying 33 by 30 and then adding 33 multiplied by 4.\n\n2. **Multiply each digit of one number by each digit of the other number**:\n - Multiply 33 by 4 (the...
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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\": \"Now, combine all the results from each column:\", \"answer\": \"1122\"}, {\"context\": \"### Final Answer\", \"answer\": \"1122\"}]}" ]
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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}\""
[{"content":"What is the solution to the long multiplication equation below?\n\n88 x 45\n\nThink ste(...TRUNCATED)
longmult
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["Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Problem\nWe need t(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["Certainly! Let's solve the long multiplication problem \\(88 \\times 45\\) step by step.\n\n### St(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
["Certainly! Let's solve this step by step.\n\n1) First, we write down the numbers:\n\n 88\n * 45\(...TRUNCATED)
"{\"continuation_phrases\": [\"Wait, how?\", \"But I need to verify this.\"], \"continuations\": [\"(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["Certainly! Let's solve the long multiplication problem \\( 88 \\times 45 \\) step by step.\n\n### (...TRUNCATED)
"{\"all_responses\": [\"Certainly! Let's solve the long multiplication problem \\\\( 88 \\\\times 45(...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}\""
[{"content":"What is the solution to the long multiplication equation below?\n\n53 x 13\n\nThink ste(...TRUNCATED)
longmult
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["Certainly! Let's solve this problem step by step.\n\n### Step 1: Set up the multiplication\nWe nee(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
["Certainly! Let's solve the long multiplication problem \\(53 \\times 13\\) step by step.\n\n### St(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
["To solve the long multiplication problem \\(53 \\times 13\\), we will follow these steps:\n\n### S(...TRUNCATED)
"{\"continuation_phrases\": [\"But according to\", \"However,\"], \"continuations\": [\" the standar(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["Certainly! Let's solve this long multiplication problem step by step.\n\n### Step-by-Step Solution(...TRUNCATED)
"{\"all_responses\": [\"Certainly! Let's solve this long multiplication problem step by step.\\n\\n#(...TRUNCATED)
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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 \\(87 \\times 87\\), we can break it down into simpler st(...TRUNCATED)
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["To solve \\(87 \\times 87\\) using long multiplication:\n\n1. **Set up the problem:**\n ```\n (...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve \\(87 \\times 87\\) using long multiplication, follow these steps:\n\n1. **Write down the(...TRUNCATED)
"{\"continuation_phrases\": [\"But I need to verify this.\", \"Hold on, let me verify this answer.\"(...TRUNCATED)
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["To solve the long multiplication problem \\(87 \\times 87\\), follow these steps:\n\n1. **Set up t(...TRUNCATED)
"{\"all_responses\": [\"To solve the long multiplication problem \\\\(87 \\\\times 87\\\\), follow t(...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)
longmult
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["To solve the long multiplication problem \\(89 \\times 80\\), we can break it down into simpler st(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
["To solve the long multiplication problem \\(89 \\times 80\\), let's break it down into steps:\n\n1(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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["To solve the multiplication problem \\(89 \\times 80\\), we can break it down into simpler steps.\(...TRUNCATED)
"{\"continuation_phrases\": [\"Wait, how?\", \"But according to\"], \"continuations\": [\" Let me co(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["Certainly! Let's solve the long multiplication problem \\(89 \\times 80\\) step by step.\n\n### St(...TRUNCATED)
"{\"all_responses\": [\"Certainly! Let's solve the long multiplication problem \\\\(89 \\\\times 80\(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"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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["Certainly! Let's solve this problem step by step.\n\n### Step 1: Set up the multiplication\nWe nee(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
"{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct\", \"n_response(...TRUNCATED)
["To solve the multiplication problem \\(23 \\times 58\\), we can use the standard algorithm for lon(...TRUNCATED)
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["Certainly! Let's solve this long multiplication problem step by step.\n\n### Step 1: Set up the mu(...TRUNCATED)
"{\"continuation_phrases\": [\"However,\", \"Wait, let me try\"], \"continuations\": [\" since there(...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
["Certainly! Let's solve the multiplication problem \\(23 \\times 58\\) step by step.\n\n### Step-by(...TRUNCATED)
"{\"all_responses\": [\"Certainly! Let's solve the multiplication problem \\\\(23 \\\\times 58\\\\) (...TRUNCATED)
"{\"api_url\": \"http://127.0.0.1:41425\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED)
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