conversations listlengths 2 2 | question stringlengths 23 1.7k | source null | id null | prompt listlengths 2 2 | answer stringclasses 509
values | prompt__example_annotation__metadata dict | task_source stringclasses 1
value | task_config stringclasses 1
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 2
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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"from": "user",
"value": "Return your final response within \\boxed{}. A region $S$ in the complex plane is defined by \\begin{align*}\nS = \\{x + iy: - 1\\le x\\le1, - 1\\le y\\le1\\}.\n\\end{align*}A complex number $z = x + iy$ is chosen uniformly at random from $S$. What is the probability that $\\left... | A region $S$ in the complex plane is defined by \begin{align*}
S = \{x + iy: - 1\le x\le1, - 1\le y\le1\}.
\end{align*}A complex number $z = x + iy$ is chosen uniformly at random from $S$. What is the probability that $\left(\frac34 + \frac34i\right)z$ is also in $S$? | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{7}{9} | {
"api_url": "http://10.32.36.236:9080/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 determine the probability that \\(\\left(\\frac{3}{4} + \\frac{3}{4}i\\right)z\\) is also in \\(S\\), we start by expressing \\(z\\) as \\(x + iy\\) where \\(-1 \\leq x \\leq 1\\) and \\(-1 \\leq y \\leq 1\\). We need to check under what conditions \\(\\left(\\frac{3}{4} + \\frac{3}{4}i\\right)(x + iy)\\) remai... | [
false
] | [
"\\frac{1}{2}"
] | alternative | [
{
"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 calculates the probability that \\((\\frac{3}{4} + \\frac{3}{4}i)z\\) is also in \\(S\\) by analyzing the inequalities derived from the transformation. It correctly identifies the constraints and uses geometric reasoning to conclude that the valid region is approximate... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.207:10080/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":"Consider 2022 lines in the plane, no two of which are parallel and no three(...TRUNCATED) | "Consider 2022 lines in the plane, no two of which are parallel and no three of which are concurrent(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 3 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: \n2022 lines in the plane, no two parallel, no three concurrent. Each intersec(...TRUNCATED) | [
true
] | [
"3"
] | 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 identifies that the problem involves assig(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Consider 2022 lines in the plane, no two of which are parallel and no three(...TRUNCATED) | "Consider 2022 lines in the plane, no two of which are parallel and no three of which are concurrent(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 3 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: \n2022 lines in the plane, no two parallel, no three concurrent. Each intersec(...TRUNCATED) | [
false
] | [
"2021"
] | 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 carefully reviewing the model response and the original problem. \n\n(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Consider 2022 lines in the plane, no two of which are parallel and no three(...TRUNCATED) | "Consider 2022 lines in the plane, no two of which are parallel and no three of which are concurrent(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 3 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["To solve this problem, we need to understand the constraints and properties of the intersection po(...TRUNCATED) | [
false
] | [
"2"
] | alternative | [{"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 suggests that the minimum number of colors needed is(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Consider 2022 lines in the plane, no two of which are parallel and no three(...TRUNCATED) | "Consider 2022 lines in the plane, no two of which are parallel and no three of which are concurrent(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 3 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["To determine the minimum number of colors required to color the intersection points \\( E \\) such(...TRUNCATED) | [
true
] | [
"3"
] | alternative | [{"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 minimum number of colors needed i(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Return your final response within \\boxed{}. Find the largest positive inte(...TRUNCATED) | "Find the largest positive integer $n$ with the following property: there are rectangles $A_1, ..(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Find the largest positive integer \\( n \\) such that there exist rectangles \(...TRUNCATED) | [
false
] | [
"2"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | [
""
] | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Return your final response within \\boxed{}. Find the largest positive inte(...TRUNCATED) | "Find the largest positive integer $n$ with the following property: there are rectangles $A_1, ..(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Find the largest positive integer \\( n \\) such that there exist rectangles \(...TRUNCATED) | [
true
] | [
"4"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | [
""
] | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Return your final response within \\boxed{}. Find the largest positive inte(...TRUNCATED) | "Find the largest positive integer $n$ with the following property: there are rectangles $A_1, ..(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["To solve this problem, let's consider how we can place the rectangles \\(A_i\\) and \\(B_i\\) such(...TRUNCATED) | [
false
] | [
"2"
] | alternative | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | [
""
] | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"Return your final response within \\boxed{}. Find the largest positive inte(...TRUNCATED) | "Find the largest positive integer $n$ with the following property: there are rectangles $A_1, ..(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["To solve this problem, let's first understand the conditions given:\n- We need \\( n \\) rectangle(...TRUNCATED) | [
true
] | [
"4"
] | alternative | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | [
""
] | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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":"4. Given the sequence $\\left\\{a_{n}\\right\\}$ satisfies\n$$\n\\begin{arr(...TRUNCATED) | "4. Given the sequence $\\left\\{a_{n}\\right\\}$ satisfies\n$$\n\\begin{array}{l}\na_{1}=2, a_{n+1}(...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | \dfrac{2015}{2013} | {"api_url":"http://10.32.36.236:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: \nGiven $a_1 = 2$ and $a_{n+1} = \\frac{2(n+2)}{n+1} a_n$, find $\\frac{a_{201(...TRUNCATED) | [
false
] | [
"\\frac{1007}{1006}"
] | 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 correctly identified the general formula for \\(a_n\\) as \(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.207:10080/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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