conversations listlengths 2 2 | question stringlengths 33 1.77k | source null | id null | prompt listlengths 2 2 | answer stringclasses 501
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": "Shenelle has some square tiles. Some of the tiles have side length $5\\text{ cm}$ while the others have side length $3\\text{ cm}$. The total area that can be covered by the tiles is exactly $2014\\text{ cm}^2$. Find the least number of tiles that Shenelle can have."
},
{
... | Shenelle has some square tiles. Some of the tiles have side length $5\text{ cm}$ while the others have side length $3\text{ cm}$. The total area that can be covered by the tiles is exactly $2014\text{ cm}^2$. Find the least number of tiles that Shenelle can have. | 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... | 94 | {
"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 | [
"To solve this problem, let's denote:\n- \\( x \\) as the number of \\( 5\\text{ cm} \\times 5\\text{ cm} \\) tiles.\n- \\( y \\) as the number of \\( 3\\text{ cm} \\times 3\\text{ cm} \\) tiles.\n\nThe area covered by these tiles is given by the equation:\n\\[ 25x + 9y = 2014 \\]\n\nWe need to minimize the total n... | [
true
] | [
"94"
] | alternative_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 by re-examining the steps taken in the model response. The key steps were identifying the form of the solution \\(x \\equiv 1 \\pmod{9}\\), calculating specific values of \\(x\\) and corresponding \\(y\\), and determining the minimal solution.\n\nThe model correctly identified that \\(x \... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.218:9080/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": "Shenelle has some square tiles. Some of the tiles have side length $5\\text{ cm}$ while the others have side length $3\\text{ cm}$. The total area that can be covered by the tiles is exactly $2014\\text{ cm}^2$. Find the least number of tiles that Shenelle can have."
},
{
... | Shenelle has some square tiles. Some of the tiles have side length $5\text{ cm}$ while the others have side length $3\text{ cm}$. The total area that can be covered by the tiles is exactly $2014\text{ cm}^2$. Find the least number of tiles that Shenelle can have. | 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... | 94 | {
"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 denote the number of \\(5\\text{ cm}\\) tiles as \\(x\\) and the number of \\(3\\text{ cm}\\) tiles as \\(y\\). The total area covered by these tiles is given by:\n\n\\[25x + 9y = 2014.\\]\n\nWe need to find non-negative integer solutions \\((x, y)\\) such that the sum \\(x + y\\) (the total number of tiles)... | [
true
] | [
"94"
] | alternative_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 by checking if the calculation and logic presented in the model response hold true.\n\nThe model correctly sets up the equation \\(25x + 9y = 2014\\) and uses modular arithmetic to deduce that \\(x \\equiv 1 \\pmod{9}\\). This leads to \\(x = 9k + 1\\) for some integer \\(k\\). It then so... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.218:9080/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":"Shenelle has some square tiles. Some of the tiles have side length $5\\text(...TRUNCATED) | "Shenelle has some square tiles. Some of the tiles have side length $5\\text{ cm}$ while the others (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 94 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Let's denote the number of \\(5\\text{ cm}\\) tiles as \\(x\\) and the number of \\(3\\text{ cm}\\(...TRUNCATED) | [
true
] | [
"94"
] | alternative_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 sets up the equation \\(25x + 9y = 2014\\)(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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":"Shenelle has some square tiles. Some of the tiles have side length $5\\text(...TRUNCATED) | "Shenelle has some square tiles. Some of the tiles have side length $5\\text{ cm}$ while the others (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 94 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Let's denote the number of \\(5\\text{ cm}\\) tiles as \\(x\\) and the number of \\(3\\text{ cm}\\(...TRUNCATED) | [
true
] | [
"94"
] | alternative_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 sets up the equation \\(25x + 9y = 2014\\) and uses(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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{}. Given that \\( x, y, z \\) are(...TRUNCATED) | "Given that \\( x, y, z \\) are non-negative real numbers satisfying the equation\n\\[ 4^{\\sqrt{5x (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Solve for \\( t = \\sqrt{5x + 9y + 4z} \\) in the equation \\( 4^t - 68 \\cdot(...TRUNCATED) | [
true
] | [
"4"
] | 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 by checking the key steps in the model response:\n\n1. Correctly identif(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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{}. Given that \\( x, y, z \\) are(...TRUNCATED) | "Given that \\( x, y, z \\) are non-negative real numbers satisfying the equation\n\\[ 4^{\\sqrt{5x (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: Solve for \\( t = \\sqrt{5x + 9y + 4z} \\) given the equation \\( 4^t - 68 \\c(...TRUNCATED) | [
true
] | [
"4"
] | 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 correctly simplified the given equation and solved for \\( t (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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{}. Given that \\( x, y, z \\) are(...TRUNCATED) | "Given that \\( x, y, z \\) are non-negative real numbers satisfying the equation\n\\[ 4^{\\sqrt{5x (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["First, let's make a substitution to simplify the given equation. Let \\( t = \\sqrt{5x + 9y + 4z} (...TRUNCATED) | [
false
] | [
"\\(\\frac{144}{25}\\)"
] | alternative_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 steps taken in the model response. The key steps wer(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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{}. Given that \\( x, y, z \\) are(...TRUNCATED) | "Given that \\( x, y, z \\) are non-negative real numbers satisfying the equation\n\\[ 4^{\\sqrt{5x (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | 4 | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Let's start by letting \\( t = 2^{\\sqrt{5x + 9y + 4z}} \\). The given equation can be rewritten a(...TRUNCATED) | [
true
] | [
"4"
] | alternative_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 reviewing the key steps in the model response. The model correctly id(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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":"It is known that the boiling point of edible oil is generally above $200^{\(...TRUNCATED) | "It is known that the boiling point of edible oil is generally above $200^{\\circ}\\mathrm{C}$. The (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | C | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: \nA table shows the temperature of oil over time during heating:\n| t (s) | 0 (...TRUNCATED) | [
true
] | [
"C"
] | 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 correctly identified that the temperature increases by 20°C (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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":"It is known that the boiling point of edible oil is generally above $200^{\(...TRUNCATED) | "It is known that the boiling point of edible oil is generally above $200^{\\circ}\\mathrm{C}$. The (...TRUNCATED) | null | null | [{"content":"You answer questions by saying \"Rewritten Question: \" then rewriting the question to (...TRUNCATED) | C | {"api_url":"http://10.32.36.231:9080/v1","backend":"litellm","chat_template_applied":true,"generatio(...TRUNCATED) | openthoughts | openthoughts | ["Rewritten Question: \nThe table provides temperatures of oil at different times during heating:\n|(...TRUNCATED) | [
true
] | [
"C"
] | 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 analyzes each statement based on the given(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"http://10.32.36.218:9080/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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