conversations listlengths 2 2 | question stringclasses 4
values | source stringclasses 1
value | id int64 36.4k 36.4k ⌀ | prompt listlengths 2 2 | answer stringclasses 5
values | prompt__example_annotation__metadata dict | task_source stringclasses 1
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value | model_responses__example_annotation listlengths 1 1 | model_responses__example_annotation__eval_is_correct listlengths 1 1 | model_responses__example_annotation__eval_extracted_answers listlengths 1 1 | prompt_type stringclasses 4
values | reflection_prompt listlengths 2 2 | model_responses__mutated_prompts_reflection listlengths 1 1 | model_responses__mutated_prompts_reflection__finish_reason_length_flags listlengths 1 1 | model_responses__mutated_prompts_reflection__length_partial_responses listlengths 1 1 | reflection_prompt__mutated_prompts_reflection__metadata dict | model_responses__mutated_prompts_reflection__metadata dict |
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"value": "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at the point $x=\\pi / 9$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the derivative of the function y = sin(3x) at the point x = π/9 using the def... | 186. Using the definition of the derivative, find the derivative of the function $y=\sin 3x$ at the point $x=\pi / 9$. | null | null | [
{
"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.",
"role": "system"
},
{
"content": "186. Using the definition of th... | \dfrac{3}{2} | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
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"n": 2,
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"model_name": "hosted_vll... | openthoughts | openthoughts | [
"To find the derivative of \\( y = \\sin(3x) \\) using the definition of the derivative at the point \\( x = \\frac{\\pi}{9} \\), we start with the limit definition:\n\n\\[\nf'(x) = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h}\n\\]\n\nFor \\( f(x) = \\sin(3x) \\):\n\n\\[\nf'(x) = \\lim_{h \\to 0} \\frac{\\sin(3(x + h)... | [
false
] | [
"\\frac{3}{2}"
] | original | [
{
"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 response correctly derived the derivative of \\( y = \\sin(3x) \\) using the definition of the derivative and evaluated it at \\( x = \\frac{\\pi}{9} \\). It also correctly simplified the trigonometric expressions and limits involved. The final evaluation at \\( x = \\frac{\\pi... | [
false
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"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
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[
{
"from": "user",
"value": "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at the point $x=\\pi / 9$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the derivative of the function y = sin(3x) at the point x = π/9 using the def... | 186. Using the definition of the derivative, find the derivative of the function $y=\sin 3x$ at the point $x=\pi / 9$. | null | null | [
{
"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.",
"role": "system"
},
{
"content": "186. Using the definition of th... | \dfrac{3}{2} | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
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"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | openthoughts | openthoughts | [
"To find the derivative of \\( y = \\sin 3x \\) at the point \\( x = \\frac{\\pi}{9} \\) using the definition of the derivative, we start from the limit definition:\n\n\\[ f'(x) = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h}. \\]\n\nHere, \\( f(x) = \\sin 3x \\). Therefore,\n\n\\[ f'(x) = \\lim_{h \\to 0} \\frac{\\sin... | [
false
] | [
"\\frac{3}{2}"
] | original | [
{
"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 by checking the model's solution step-by-step.\n\nThe model correctly applied the definition of the derivative and simplified the expression using trigonometric identities. It also correctly identified and applied the appropriate limits to reach the derivative \\( f'(x) = 3 \\cos(3x) \\).... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.231:10080/v1",
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"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 1
} |
[
{
"from": "user",
"value": "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at the point $x=\\pi / 9$."
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the derivative of the function y = sin(3x) at the point x = π/9 using the def... | 186. Using the definition of the derivative, find the derivative of the function $y=\sin 3x$ at the point $x=\pi / 9$. | null | null | [
{
"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.",
"role": "system"
},
{
"content": "186. Using the definition of th... | \dfrac{3}{2} | {
"api_url": "http://10.32.36.232:9080/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 | [
"To find the derivative of \\( y = \\sin 3x \\) using the definition of the derivative, we start with the limit definition:\n\n\\[\nf'(x) = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h}\n\\]\n\nFor \\( f(x) = \\sin 3x \\), this becomes:\n\n\\[\nf'(x) = \\lim_{h \\to 0} \\frac{\\sin(3(x + h)) - \\sin 3x}{h}\n\\]\n\nUsin... | [
false
] | [
"\\frac{3}{2}"
] | original | [
{
"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 response correctly applied the definition of the derivative to find the derivative of \\( y = \\sin 3x \\) at \\( x = \\pi / 9 \\). It used the appropriate trigonometric identities and limits to simplify the expression. Finally, it evaluated the simplified derivative at \\( x =... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["To find the derivative of \\( y = \\sin 3x \\) using the definition of the derivative, we start wi(...TRUNCATED) | [
false
] | [
"\\(\\frac{3}{2}\\)"
] | original | [{"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 applies the definition of the derivative t(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/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
] | [
"\\(\\frac{6 - 9\\sqrt{3}}{4}\\)"
] | plan_and_execute | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | [
""
] | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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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[{"from":"user","value":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/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
] | [
"\\(\\frac{3}{2}\\)"
] | plan_and_execute | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer by checking the solution provided. The model response correctly applies (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/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
] | [
"\\(\\frac{3}{2}\\)"
] | plan_and_execute | [{"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 steps provided in the model response. The model corr(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/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
] | [
"\\(\\frac{3}{2}\\)"
] | plan_and_execute | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer... The original problem asked to find the derivative of \\( y = \\sin(3x(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Find the derivative of \\( y = \\sin 3x \\) using the definition of the deriva(...TRUNCATED) | [
false
] | [
"\\(\\frac{3}{2}\\)"
] | rephrase | [{"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 applies the definition of the derivative t(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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":"186. Using the definition of the derivative, find the derivative of the fun(...TRUNCATED) | "186. Using the definition of the derivative, find the derivative of the function $y=\\sin 3x$ at th(...TRUNCATED) | null | null | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | \dfrac{3}{2} | {"api_url":"http://10.32.36.232:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Find the derivative of \\( y = \\sin 3x \\) using the definition of the deriva(...TRUNCATED) | [
false
] | [
"\\(\\frac{3}{2}\\)"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer by reviewing the model's solution. The model correctly applied the defin(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.231:10080/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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