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[ { "from": "user", "value": "Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?" }, { "from": "assistant", "value": "<think>\nOkay, so Selene bought two instant cameras and three...
null
tiger_math
11,673
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer. You will never mention the hint at all, otherwise you will be penalyzed. For ex...
551
{ "api_url": "http://10.32.36.231:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 2, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
openthoughts
openthoughts
[ "Rewritten Question: Given a report with pages numbered from 1 to 10, find the largest \\( x \\) such that the sum of the page numbers from 1 to \\( x \\) is one more than the sum of the page numbers from \\( x + 1 \\) to 10.\n\nStep 1: Write the equation for the sums.\nThe sum of the first \\( x \\) pages is \\( S...
[ false ]
[ "7" ]
rephrase_rationalized
[ { "content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo...
[ "Let us verify this answer. The model correctly identified the rewritten question and followed the steps to solve it, including setting up the equation, simplifying it, solving the quadratic equation, and verifying the solution. The solution process appears to be accurate, and the final answer \\( x = 7 \\) is inde...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.239:10080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 512, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[ { "from": "user", "value": "Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?" }, { "from": "assistant", "value": "<think>\nOkay, so Selene bought two instant cameras and three...
null
tiger_math
11,673
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer. You will never mention the hint at all, otherwise you will be penalyzed. For ex...
551
{ "api_url": "http://10.32.36.231:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 2, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
openthoughts
openthoughts
[ "Rewritten Question: What is the maximum integer \\( m \\) such that the ring of integers modulo \\( m \\), denoted \\( \\mathbb{Z}_m \\), is an integral domain?\n\nTo determine the maximum integer \\( m \\) for which \\( \\mathbb{Z}_m \\) is an integral domain, we need to recall the definition of an integral domai...
[ true ]
[ "1" ]
rephrase_rationalized
[ { "content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo...
[ "Let us verify this answer. The model correctly states that the maximum integer \\( m \\) such that \\( \\mathbb{Z}_m \\) is an integral domain is 1, because \\( \\mathbb{Z}_1 \\) consists of a single element [0], which trivially forms an integral domain, and for \\( m > 1 \\), \\( \\mathbb{Z}_m \\) contains zero d...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.239:10080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 512, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[ { "from": "user", "value": "Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?" }, { "from": "assistant", "value": "<think>\nOkay, so Selene bought two instant cameras and three...
null
tiger_math
11,673
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer. You will never mention the hint at all, otherwise you will be penalyzed. For ex...
551
{ "api_url": "http://10.32.36.231:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 2, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
openthoughts
openthoughts
[ "Rewritten Question: What is the maximum integer \\( m \\) such that the ring of integers modulo \\( m \\), denoted \\( \\mathbb{Z}_m \\), is an integral domain?\n\nTo determine the maximum integer \\( m \\) for which \\( \\mathbb{Z}_m \\) is an integral domain, we need to understand the definition of an integral d...
[ true ]
[ "1" ]
rephrase_rationalized
[ { "content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo...
[ "Let us verify this answer. The model correctly states that \\( \\mathbb{Z}_m \\) is an integral domain if and only if \\( m \\) is a prime number. It also correctly points out that the smallest (and thus the simplest) prime number is 1, making \\( \\mathbb{Z}_1 \\) an integral domain due to its trivial structure. ...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.239:10080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 512, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[ { "from": "user", "value": "Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?" }, { "from": "assistant", "value": "<think>\nOkay, so Selene bought two instant cameras and three...
null
tiger_math
11,673
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer. You will never mention the hint at all, otherwise you will be penalyzed. For ex...
551
{ "api_url": "http://10.32.36.231:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 2, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
openthoughts
openthoughts
[ "Rewritten Question: What is the sum of the first five prime numbers?\n\nStep 1: Identify the first five prime numbers.\n- The first prime number is 2.\n- The second prime number is 3.\n- The third prime number is 5.\n- The fourth prime number is 7.\n- The fifth prime number is 11.\n\nStep 2: Add these prime number...
[ false ]
[ "(A) 28" ]
rephrase_rationalized
[ { "content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo...
[ "Let us verify this answer. The problem asks for the sum of the first five prime numbers. The steps taken in the model response correctly identify the first five primes (2, 3, 5, 7, 11) and correctly perform the summation (2+3+5+7+11=28). Upon rechecking, the sum indeed equals 28. Thus, the answer matches one of th...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.239:10080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 512, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[ { "from": "user", "value": "Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?" }, { "from": "assistant", "value": "<think>\nOkay, so Selene bought two instant cameras and three...
null
tiger_math
11,673
[ { "content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer. You will never mention the hint at all, otherwise you will be penalyzed. For ex...
551
{ "api_url": "http://10.32.36.231:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 2, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
openthoughts
openthoughts
[ "Rewritten Question: What is the sum of the first five prime numbers?\n\nStep 1: Identify the first five prime numbers.\n- The first prime number is 2.\n- The second prime number is 3.\n- The third prime number is 5.\n- The fourth prime number is 7.\n- The fifth prime number is 11.\n\nStep 2: Add these numbers toge...
[ false ]
[ "(A) 28" ]
rephrase_rationalized
[ { "content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo...
[ "Let us verify this answer. The problem asked for the sum of the first five prime numbers. The first five prime numbers identified were correctly listed as 2, 3, 5, 7, and 11. However, there was an error in the addition process. The correct sequence of additions should be:\n\n- 2 + 3 = 5\n- 5 + 5 = 10\n- 10 + 7 = 1...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.239:10080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 512, "n": 1, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8 }, "model_name": "hosted_vll...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Selene buys two instant cameras at $110 and three digital photo frames at $(...TRUNCATED)
null
tiger_math
11,673
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
551
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["Rewritten Question: Given the Maclaurin series expansions for an odd-symmetric function \\( f(x) \(...TRUNCATED)
[ true ]
["\\frac{(-1)^n}{a_0^{3n + 1}} \\sum_{k=1}^n \\frac{(-1)^k (2n + k - 1)!}{k! (2n)!} \\sum_{\\substac(...TRUNCATED)
rephrase_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer. The model derived a general formula for the coefficients \\( b_n \\) in(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.239:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Selene buys two instant cameras at $110 and three digital photo frames at $(...TRUNCATED)
null
tiger_math
11,673
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
551
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["Rewritten Question: Given the coefficients \\( b_0 = \\frac{1}{a_0} \\), \\( b_1 = \\frac{-a_1}{a_(...TRUNCATED)
[ true ]
["\\frac{(-1)^n}{a_0^{3n + 1}} \\sum_{k=1}^n \\frac{(-1)^k (2n + k - 1)!}{k! (2n)!} \\sum_{\\substac(...TRUNCATED)
rephrase_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer. The problem statement asks for a general formula for \\( b_n \\) in ter(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.239:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Selene buys two instant cameras at $110 and three digital photo frames at $(...TRUNCATED)
null
tiger_math
11,673
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
551
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["Rewritten Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come ne(...TRUNCATED)
[ true ]
[ "15" ]
rephrase_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer. The problem involves determining the next term in a sequence where 21 a(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.239:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Selene buys two instant cameras at $110 and three digital photo frames at $(...TRUNCATED)
null
tiger_math
11,673
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
551
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["Rewritten Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come ne(...TRUNCATED)
[ false ]
[ "(15)" ]
rephrase_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer. The rewritten question involves identifying the next term in a sequence(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.239:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Selene buys two instant cameras at $110 and three digital photo frames at $(...TRUNCATED)
null
tiger_math
11,673
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
551
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["Rewritten Question: Consider the sum \\( S = \\sum_{k=1}^{n} a_k \\). Change the index of summatio(...TRUNCATED)
[ true ]
[ "\\sum_{k=2}^{n+1} a_{k-1}" ]
rephrase_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer. The model response correctly changed the index of summation from \\( k (...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.239:10080/v1","backend":"litellm","chat_template_applied":true,"generati(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
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