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[ { "from": "user", "value": "The meteorological criterion for transitioning from spring to summer is: \"The daily average temperature for five consecutive days is at least 22°C.\" There are records of daily average temperatures for three locations, A, B, and C, over five consecutive days (all recorded data a...
The meteorological criterion for transitioning from spring to summer is: "The daily average temperature for five consecutive days is at least 22°C." There are records of daily average temperatures for three locations, A, B, and C, over five consecutive days (all recorded data are positive integers): ① For location A:...
null
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[ { "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...
B
{ "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
[ "Let's analyze each location based on the given conditions.\n\n**Location A:** \n- Median = 24\n- Mode = 22\n\nSince the median is 24, when we order the temperatures as \\(T_1 \\leq T_2 \\leq T_3 \\leq T_4 \\leq T_5\\), \\(T_3 = 24\\). Also, since the mode is 22, 22 must appear more frequently than any other number...
[ false ]
[ "B: ①③" ]
original_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...\n\nThe model correctly analyzed each location based on the given conditions:\n\n- For Location A, the model deduced that the average temperature for five consecutive days was indeed at least 22°C, making it a valid candidate for entering summer.\n- For Location B, the model pointed out...
[ false ]
[ "" ]
{ "api_url": "http://10.32.36.214:9080/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_vllm...
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The meteorological criterion for transitioning from spring to summer is: \"(...TRUNCATED)
"The meteorological criterion for transitioning from spring to summer is: \"The daily average temper(...TRUNCATED)
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
B
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ false ]
[ "B: ①③" ]
plan_and_execute_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer by re-examining the analysis for each location:\n\n### Re-analysis of Lo(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The meteorological criterion for transitioning from spring to summer is: \"(...TRUNCATED)
"The meteorological criterion for transitioning from spring to summer is: \"The daily average temper(...TRUNCATED)
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
B
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ false ]
[ "B: ①③" ]
plan_and_execute_rationalized
[{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED)
["Let us verify this answer by rechecking the analysis for each location:\n\n### Location A Analysis(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Return your final response within \\boxed{}. Let $a_{1}, a_{2}, a_{3}, \\cd(...TRUNCATED)
"Let $a_{1}, a_{2}, a_{3}, \\cdots$ be a non-decreasing sequence of positive integers. For $m \\geqs(...TRUNCATED)
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
1700
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ true ]
[ "1700" ]
plan_and_execute_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 concludes that the maximum value of the sum \\(a_1 +(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"Return your final response within \\boxed{}. Let $a_{1}, a_{2}, a_{3}, \\cd(...TRUNCATED)
"Let $a_{1}, a_{2}, a_{3}, \\cdots$ be a non-decreasing sequence of positive integers. For $m \\geqs(...TRUNCATED)
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
1700
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ true ]
[ "1700" ]
plan_and_execute_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 identifies the relationship between the se(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The solution set of the inequality $2|x-1|-1<0$ is ______."},{"from":"assis(...TRUNCATED)
The solution set of the inequality $2|x-1|-1<0$ is ______.
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
\left( \frac{1}{2}, \frac{3}{2} \right)
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["To find the solution set of the inequality \\(2|x-1| - 1 < 0\\), we start by isolating the absolut(...TRUNCATED)
[ true ]
[ "\\left( \\frac{1}{2}, \\frac{3}{2} \\right)" ]
original_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 correctly solved the inequality step-by-step, starting from i(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The solution set of the inequality $2|x-1|-1<0$ is ______."},{"from":"assis(...TRUNCATED)
The solution set of the inequality $2|x-1|-1<0$ is ______.
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
\left( \frac{1}{2}, \frac{3}{2} \right)
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["To solve the inequality \\(2|x-1|-1 < 0\\), we first isolate the absolute value expression:\n\n\\[(...TRUNCATED)
[ true ]
[ "\\left( \\frac{1}{2}, \\frac{3}{2} \\right)" ]
original_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 correctly solved the inequality step-by-step, starting from i(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The solution set of the inequality $2|x-1|-1<0$ is ______."},{"from":"assis(...TRUNCATED)
The solution set of the inequality $2|x-1|-1<0$ is ______.
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
\left( \frac{1}{2}, \frac{3}{2} \right)
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ true ]
[ "\\left( \\frac{1}{2}, \\frac{3}{2} \\right)" ]
plan_and_execute_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 correctly isolated the absolute value expression and consider(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"The solution set of the inequality $2|x-1|-1<0$ is ______."},{"from":"assis(...TRUNCATED)
The solution set of the inequality $2|x-1|-1<0$ is ______.
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
\left( \frac{1}{2}, \frac{3}{2} \right)
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["First, I'll try to understand the problem better by writing out a plan and go really deep into det(...TRUNCATED)
[ true ]
[ "\\left( \\frac{1}{2}, \\frac{3}{2} \\right)" ]
plan_and_execute_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 correctly identified the process of solving the inequality by(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
[{"from":"user","value":"1. What is the smallest number of digits that can be erased from the number(...TRUNCATED)
"1. What is the smallest number of digits that can be erased from the number 20162016 so that the re(...TRUNCATED)
null
null
[{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED)
3
{"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
openthoughts
openthoughts
["To find the smallest number of digits that can be erased from the number 20162016 such that the re(...TRUNCATED)
[ true ]
[ "3" ]
original_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 correctly identifies that erasing three specific digits (posi(...TRUNCATED)
[ false ]
[ "" ]
{"api_url":"http://10.32.36.214:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED)
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct", "n_responses": 1 }
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