conversations listlengths 2 2 | question stringlengths 24 1.01k ⌀ | source stringclasses 1
value | id int64 11.7k 11.7k ⌀ | prompt listlengths 2 2 | answer stringclasses 528
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": "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 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... | 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 | [
"To find the length of the third side in a triangle where two sides are 7 and 8, and the included angle is \\(120^\\circ\\), we can use the Law of Cosines. Let's denote the sides as \\(a = 7\\), \\(b = 8\\), and the unknown side as \\(c\\). The angle between sides \\(a\\) and \\(b\\) is \\(\\theta = 120^\\circ\\).\... | [
true
] | [
"13"
] | 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. The model correctly used the Law of Cosines to find the length of the third side in the triangle with sides 7 and 8 and an included angle of 120 degrees. The calculations were accurate, leading to the conclusion that the length of the third side is 13. Given the calculations and simplifi... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To find the isometries that leave the metric \\( ds^2 = dx^2 + dy^2 + dz^2 \\) invariant, we need to identify the transformations that preserve the Euclidean distance between any two points in 3-dimensional space. Let's explore different possibilities.\n\n### Step 1: Translation Isometries\n\nOne type of transform... | [
true
] | [
"E(3)"
] | 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. The model correctly identified the group of isometries that preserve the Euclidean metric in three dimensions as \\(E(3)\\), which indeed includes translations, rotations, and reflections. All steps and explanations leading to this conclusion were logically sound and consistent with the ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider translations. Translations of the form \\( (x', y', z') = (x+a, y+b, z+c) \\) where \\(a\\), \\(b\\), and \\(c\\) are constants, clearly preserve the distance since:\n\\[ ds'^2 = d(x'+dx)^2 + d(y'+dy)^2 + d(z'+dz)^2 = (dx)^2 + (dy)^2 + (dz)^2 = ds^2. \\]\nSo, translations are valid isometri... | [
true
] | [
"E(3)"
] | 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. The model correctly identified the group of Euclidean motions in three dimensions as \\(E(3)\\) by explaining that translations, rotations, and reflections all preserve distances and thus are isometries. The explanation for why these transformations are valid isometries is accurate and d... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the scenario where we use basic trigonometry directly. We know that the angle formed by the line connecting the tops of the poles and the ground is 45°. In a 45°-45°-90° triangle, the legs (horizontal distances) are equal, and the hypotenuse (the line connecting the tops of the poles) can b... | [
true
] | [
"17.5"
] | 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. The problem involves determining the horizontal distance between the bases of two poles given their heights and the angle between the line connecting their tops and the ground. The model response incorrectly applies trigonometric principles meant for a different scenario (where the angle... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we can use trigonometry. Let's denote the height difference between the two poles as \\( h \\) and the horizontal distance between their bases as \\( d \\).\n\nFirst, let's calculate the height difference:\n\\[ h = 80 - 62.5 = 17.5 \\text{ meters} \\]\n\nNow, considering the line connecting ... | [
true
] | [
"17.5"
] | 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. The model response starts off correctly by identifying the height difference between the poles as 17.5 meters. It then uses the fact that the angle formed is 45 degrees, leading to the conclusion that the horizontal distance is also 17.5 meters due to the properties of a 45-45-90 triangl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's denote the number of sage leaves Sabrina needs as \\( S \\), basil leaves as \\( B \\), and verbena leaves as \\( V \\).\n\nFrom the problem statement:\n- Sabrina needs twice as many basil leaves as sage leaves: \\( B = 2S \\).\n- She needs 5 fewer sage leaves than verbena leaves: \\( S = V - 5 \\) or equiva... | [
true
] | [
"12"
] | 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. The model has solved a different problem entirely; it solved a problem involving finding the number of basil leaves Sabrina needs, not determining the value of \\(f(\\lg 81)\\) where \\(f(x)\\) is the floor function. The calculation steps show that \\(\\lg 81 \\approx 1.9084\\), and appl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's denote the number of sage leaves Sabrina needs as \\( S \\), basil leaves as \\( B \\), and verbena leaves as \\( V \\).\n\nFrom the problem:\n1. Sabrina needs twice as many basil leaves as sage leaves.\n\\[ B = 2S \\]\n\n2. She needs 5 fewer sage leaves than verbena leaves.\n\\[ S = V - 5 \\]\n\\[ V = S + 5... | [
true
] | [
"12"
] | 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. The model has solved a different problem entirely; it solved a problem involving finding the number of basil leaves Sabrina needs, whereas the actual problem asked for the value of \\( f(\\lg 81) \\) where \\( f(x) \\) is the largest integer not exceeding \\( x \\). The solution correctl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's denote the number of students taking only chemistry as \\(C\\), the number of students taking only biology as \\(B\\), and the number of students taking both subjects as \\(X\\). We know from the problem statement that \\(X = 5\\).\n\nThe total number of students is given as 43. Therefore, we can write the f... | [
true
] | [
"36"
] | 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. The problem involves determining the number of students in the chemistry class, including those who take both subjects. The model correctly sets up equations and solves them step-by-step. The logic used to derive the values for \\(C\\) and \\(B\\) and subsequently calculating \\(C + X\\)... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's denote the number of students taking only chemistry as \\(C\\), the number of students taking only biology as \\(B\\), and the number of students taking both subjects as \\(X\\). We know from the problem that \\(X = 5\\).\n\nThe total number of students is 43, so we can write:\n\\[ C + B + X = 43 \\]\... | [
true
] | [
"36"
] | 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. The problem involves determining the number of students in the chemistry class based on certain conditions. The model correctly sets up and solves the system of linear equations derived from the problem statement. It arrives at the values of \\(B = 7\\) and \\(C = 31\\), and subsequently... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's consider the expression \\( (x+y)(x-y) = x^2 - y^2 \\). Given that \\( x \\) and \\( y \\) are square roots of \\( 51733469 \\) modulo \\( n \\), we have:\n\\[ x^2 \\equiv 51733469 \\pmod{n} \\]\n\\[ y^2 \\equiv 51733469 \\pmod{n} \\]\n\nThis implies:\n\\[ x^2 \\equiv y^2 \\pmod{n} \\]\nor equivalentl... | [
false
] | [
"2"
] | 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. The model correctly identifies the task as determining the number of distinct pairs \\((x, y)\\) such that \\(x\\) and \\(y\\) are square roots of \\(51733469\\) modulo \\(n\\) and \\(x \\not\\equiv \\pm y \\pmod{n}\\). It also correctly deduces that there are exactly two such pairs when... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve the problem, we need to analyze the given conditions and derive the necessary condition on \\( n \\).\n\nFirstly, let's consider the expression \\( (x+y)(x-y) \\). This can be rewritten as:\n\\[ (x+y)(x-y) = x^2 - y^2. \\]\nSince \\( x \\) and \\( y \\) are square roots of \\( 51733469 \\) modulo \\( n \\... | [
true
] | [
"0"
] | 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. The problem involves determining the value of \\( f(\\lg 81) \\) where \\( f(x) \\) is the largest integer not exceeding \\( x \\). The model correctly calculates \\( \\lg 81 \\approx 1.9084 \\) and then applies the floor function to get the largest integer not greater than 1.9084, which... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, let's break down the time into intervals where the population doubles.\n\nFirst, consider doubling once:\n- After 20 minutes, the population is \\(1 \\times 2 = 2\\).\n\nNext, double twice (i.e., after 40 minutes):\n- After 40 minutes, the population is \\(2 \\times 2 = 4\\).\n\nDoubling thr... | [
true
] | [
"4096"
] | 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. The problem involves determining the population growth over time with doubling every 20 minutes. The solution correctly identifies the doubling pattern and calculates the population after 240 minutes as \\(2^{12} = 4096\\). The alternative method also arrives at the same conclusion by re... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider how many times the population doubles in 4 hours. Since there are 60 minutes in an hour, we have:\n\\[ \\text{Number of doubling periods} = \\frac{4 \\times 60}{20} = 12 \\]\n\nIf the population doubles 12 times starting from 1 microbe, one way to calculate the population is to use exponent... | [
true
] | [
"4096"
] | 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. The problem involves calculating the population growth over time. The model correctly identified that the population doubles every 20 minutes and used both the direct exponential growth formula and a step-by-step breakdown to arrive at the same conclusion. Both methods yield the same res... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider how the transformation works. The function \\( T(r, \\theta) = (r \\cos \\theta, r \\sin \\theta) \\) converts a point from polar coordinates to Cartesian coordinates. In the given region \\( S = [0, 1] \\times [0, \\frac{\\pi}{2}] \\), \\( r \\) ranges from 0 to 1 and \\( \\theta \\) range... | [
false
] | [
"\\frac{\\pi}{4}"
] | 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. The problem statement asks for the area of the region transformed by the function \\( T(r, \\theta) = (r \\cos \\theta, r \\sin \\theta) \\) over the specified domain. The model correctly identifies that this transforms a quarter circle of radius 1 in the first quadrant, leading to an ar... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's understand the transformation \\( T(r, \\theta) = (r \\cos \\theta, r \\sin \\theta) \\). This transformation converts polar coordinates into Cartesian coordinates. The given region \\( S \\) in polar coordinates is defined as \\( S = [0, 1] \\times [0, \\frac{\\pi}{2}] \\), meaning \\( r \\) ranges... | [
false
] | [
"\\(\\frac{\\pi}{4}\\)"
] | 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. The problem involves calculating the area of a region in polar coordinates and transforming it into Cartesian coordinates. The model correctly identified the transformation and the boundaries of the region in both coordinate systems. It then correctly deduced that the region in Cartesian... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by understanding the condition given for Sophia's favorite numbers. These numbers leave a remainder of 2 when divided by 7. So we can express such numbers as \\( n = 7k + 2 \\) where \\( k \\) is any integer.\n\nNow let’s consider what happens when such a number is divided by 11. We need to determine t... | [
true
] | [
"11"
] | 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. The model correctly identified that the numbers of the form \\(7k + 2\\) will cover all possible remainders modulo 11 due to 7 being coprime with 11. It also correctly concluded that the possible remainders modulo 11 include all integers from 0 to 10. Given the problem context, the corre... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's consider how numbers that leave a remainder of 2 when divided by 7 behave. These numbers can be expressed as \\(7k + 2\\) where \\(k\\) is any integer.\n\nNow, we need to determine the possible remainders when such numbers are divided by 11. We start by looking at the general form:\n\\[7k + 2 \\mod 11... | [
true
] | [
"11"
] | 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. The model correctly identified that the expression \\(7k + 2 \\mod 11\\) needs to be evaluated for several values of \\(k\\). It also correctly noted the coprimality between 7 and 11, implying the sequence of remainders repeats every 11 terms. However, the conclusion that there are 11 di... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by examining the polynomial \\( f(x) = x^3 + 2x^2 - 7x + 1 \\). We need to determine how many integer values of \\( x \\) make \\( f(x) \\) a perfect square.\n\nFirstly, we can test small integer values of \\( x \\):\n\n- For \\( x = 0 \\):\n \\[\n f(0) = 0^3 + 2 \\cdot 0^2 - 7 \\cdot 0 + 1 = 1\n \\... | [
true
] | [
"3"
] | 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. The problem states that we need to find how many integer values of \\( x \\) make \\( f(x) \\) a perfect square, where \\( f(x) = x^3 + 2x^2 - 7x + 1 \\). The model response correctly identified several values of \\( x \\) (0, -1, 3, -3) for which \\( f(x) \\) is a perfect square. Howeve... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider small integer values of \\( x \\) directly to check if the given expression can yield a perfect square:\n\nFor \\( x = 0 \\):\n\\[ 0^3 + 2(0)^2 - 7(0) + 1 = 1 \\]\nSince 1 is a perfect square (\\(1^2\\)), \\( x = 0 \\) is a solution.\n\nFor \\( x = 1 \\):\n\\[ 1^3 + 2(1)^2 - 7(1) + 1 = 1 + ... | [
true
] | [
"3"
] | 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. The problem asked for the integer values of \\( x \\) such that the expression \\( x^3 + 2x^2 - 7x + 1 \\) is a perfect square. The model correctly found that \\( x = 0 \\) and \\( x = -1 \\) satisfy this condition. However, the model's final answer is given as 3, which is the number of ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the perimeter formula for a rectangle, \\(P = 2(l + w)\\), where \\(l\\) is the length and \\(w\\) is the width. Given that Mackenzie has 142 feet of fencing, we have:\n\\[2(l + w) = 142\\]\nSimplifying this gives us:\n\\[l + w = 71\\]\n\nNow, let's explore different values for \\(l\\) and ... | [
true
] | [
"1260"
] | 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. The problem statement asks to find the maximum area of a rectangle with a fixed perimeter of 142 feet. The approach taken involves testing several pairs of lengths and widths that satisfy the condition \\(l + w = 71\\). The model correctly identifies that the pair (35, 36) provides the m... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the perimeter formula for a rectangle, which is \\(P = 2(l + w)\\), where \\(l\\) is the length and \\(w\\) is the width. Given Mackenzie has 142 feet of fencing, we have:\n\n\\[2(l + w) = 142\\]\n\\[l + w = 71\\]\n\nNow, to maximize the area \\(A = l \\times w\\), one might think about mak... | [
true
] | [
"1260"
] | 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. The problem involves finding the maximum area that can be enclosed by 142 feet of fencing for a rectangle. The model correctly derives the relationship between length and width (\\(l + w = 71\\)) and explores options like \\(l = 35, w = 36\\) and \\(l = 36, w = 35\\), showing they yield ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's consider the factorials involved in the sum \\(7! + 14! + 21! + \\cdots + 70!\\). Notice that starting from \\(14!\\), every factorial contains at least three factors of 5 (since \\(14 = 2 \\times 7\\)), which means each term from \\(14!\\) onward ends in at least three zeros. Therefore, the last thre... | [
true
] | [
"240"
] | 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. The model response initially correctly calculates the factorial and its last three digits. It also correctly identifies that the higher order terms (starting from \\(14!\\)) contribute no new information regarding the last three digits due to having at least three trailing zeros. However... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To find the last three digits of the sum \\(7! + 14! + 21! + \\cdots + 70!\\), we need to consider the properties of factorials and their contributions to the last few digits.\n\nFirstly, let's look at the factorial terms individually:\n- \\(7! = 5040\\). The last three digits are 040.\n- \\(14!\\) and higher fact... | [
false
] | [
"040"
] | 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 logic and steps taken in the response align with the problem statement. The problem asks for the last three digits of the sum \\(7! + 14! + 21! + \\cdots + 70!\\).\n\nThe response correctly identifies that \\(7! = 5040\\) and has the last three digits as 040. It also co... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine \\( Q(1000) \\), we need to understand how the trolls' heights, arm spans, and irascibility quotients affect their ability to escape the cavity and what the optimal strategy might be. Let's break down the problem step-by-step.\n\nFirst, let's compute the values of \\( h_n \\), \\( l_n \\), and \\( q_n... | [
true
] | [
"106560"
] | 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...\nThe model response calculates \\(Q(1000)\\) using a complex approach involving the trolls' attributes and a derived strategy. However, the given answer is \\(106560\\), which doesn't align with the simpler calculation based on the provided examples where \\(Q(5) = 401\\) and \\(Q(15) ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve for \\( Q(1000) \\), we first need to understand how the heights, arm spans, and irascibility quotients are generated for each troll. The formulae given are:\n\\[ r_n = \\left[ \\left( 5^n \\bmod (10^9 + 7) \\right) \\bmod 101 \\right] + 50 \\]\n\\[ h_n = r_{3n} \\]\n\\[ l_n = r_{3n+1} \\]\n\\[ q_n = r_{3... | [
true
] | [
"106560"
] | 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. The model response incorrectly calculates \\(Q(1000)\\) as 106560, when the actual task is to find the irascibility quotient of the 1000th troll, not the sum of the first 1000 irascibility quotients. Given the problem statement, the approach to finding \\(Q(1000)\\) should focus on direc... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's calculate the total distance Luisa travels:\n- To the grocery store: 10 miles\n- To the mall from the grocery store: 6 miles\n- To the pet store from the mall: 5 miles\n- Back home from the pet store: 9 miles\n\nTotal distance = 10 + 6 + 5 + 9 = 30 miles\n\nAlternatively, we could consider the round t... | [
false
] | [
"$7.00"
] | 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. The problem asks for the value of \\( f(\\lg 81) \\) where \\( f(x) \\) is the largest integer not exceeding \\( x \\). We previously calculated \\( \\lg 81 \\approx 1.9084 \\). Applying the floor function to this value, we indeed get 1, since 1 is the greatest integer less than or equal... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's calculate the total distance Luisa travels. She drives 10 miles to the grocery store, 6 miles to the mall, 5 miles to the pet store, and finally 9 miles back home. Adding these distances together:\n\n\\[ 10 + 6 + 5 + 9 = 30 \\text{ miles} \\]\n\nNext, we need to determine how many gallons of gas are r... | [
true
] | [
"7"
] | 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. The problem involves calculating the cost of gas for a trip based on the given information. First, the total distance driven is correctly calculated as 30 miles. Then, the gallons of gas needed are correctly computed as 2 gallons when dividing the total miles by the miles per gallon. Fin... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's understand the problem clearly. Reena took a loan of $1200 with a rate of interest of 3% per annum. The time period for which the loan is taken is equal to the rate of interest, so the time \\( t \\) would also be 3 years.\n\nLet's calculate the interest using the formula for simple interest:\n\\[ \\t... | [
true
] | [
"108"
] | 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. The model incorrectly calculates the interest for Reena's loan. It uses the simple interest formula correctly but makes an arithmetic mistake when performing the multiplication and division steps. The correct calculation should be:\n\n\\[ \\text{Simple Interest} = 1200 \\times 3 \\times ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's consider the formula for calculating simple interest:\n\n\\[ \\text{Simple Interest} = \\frac{\\text{Principal} \\times \\text{Rate} \\times \\text{Time}}{100} \\]\n\nGiven:\n- Principal (\\(P\\)) = \\$1200\n- Rate (\\(R\\)) = 3%\n- Time (\\(T\\)) = 3 years (since the time is equal to the rate)\n\nLet... | [
true
] | [
"108"
] | 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. The problem involves determining the value of \\(f(\\lg 81)\\), where \\(f(x)\\) is the floor function, i.e., the largest integer not greater than \\(x\\). The model correctly calculates \\(\\lg 81 \\approx 1.9084\\) and applies the floor function to get 1. This calculation and conclusio... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To calculate the transfer function \\( H(j\\omega) \\) of the system, we need to use the relationship between the input and output signals in the frequency domain. The transfer function is defined as:\n\n\\[ H(j\\omega) = \\frac{Y(j\\omega)}{U(j\\omega)} \\]\n\nwhere \\( U(j\\omega) \\) is the Fourier transform of... | [
true
] | [
"\\frac{3j}{5}"
] | 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 carefully checking the steps and logic presented in the model response.\n\n1. The model correctly identifies the process for calculating the transfer function using the Fourier transforms of the input and output signals.\n2. It accurately calculates the Fourier transforms of the input ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To calculate the transfer function \\(H(j\\omega)\\) of the system using the Fourier transform, we start from the relationship between the input \\(U(j\\omega)\\), output \\(Y(j\\omega)\\), and the transfer function \\(H(j\\omega)\\):\n\n\\[ Y(j\\omega) = H(j\\omega) U(j\\omega) \\]\n\n### Step 1: Find the Fourier... | [
true
] | [
"\\frac{3j}{5}"
] | 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. The model response correctly identifies the steps involved in finding the transfer function using the Fourier transform method. It accurately calculates the Fourier transforms of both the input and output signals. However, there is a mistake in the interpretation of the results when calc... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's analyze the given equation:\n\\[\n(x+5)^2 - (4y-3)^2 = 140.\n\\]\n\nThis form looks familiar; it resembles the standard form of a hyperbola. Let's confirm this by comparing it to the general forms of conic sections:\n\n1. **Circle**: The general form for a circle is \\((x-h)^2 + (y-k)^2 = r^2\\). Our ... | [
true
] | [
"H"
] | 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. The problem involves identifying the type of conic section represented by the equation \\((x+5)^2 - (4y-3)^2 = 140\\). The model correctly identifies the equation as representing a hyperbola by comparing it to the standard form of a hyperbola \\((x-h)^2/a^2 - (y-k)^2/b^2 = 1\\) or \\((y-... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's analyze the given equation \\((x+5)^2 - (4y-3)^2 = 140\\).\n\nFirstly, let's consider if it could be a circle:\nA circle's general form is \\((x-h)^2 + (y-k)^2 = r^2\\). The presence of subtraction rather than addition suggests it cannot be a circle. So,\n<answer>N</answer>\n\nNext, let's check if it fits th... | [
true
] | [
"H"
] | 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... The model correctly identified that the given equation describes a hyperbola, and not a circle, parabola, or ellipse. The steps taken to arrive at this conclusion were logical and accurate. The model also appropriately concluded that since the equation resembles the standard form of a ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we need to calculate the capacities of tanks A and B first, which can be found by determining their respective volumes. The volume \\( V \\) of a cylinder is given by the formula:\n\n\\[ V = \\pi r^2 h \\]\n\nwhere \\( r \\) is the radius of the base and \\( h \\) is the height of the cylind... | [
true
] | [
"60.0%"
] | 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. The model incorrectly calculates the dimensions and volumes of the tanks, leading to an incorrect percentage calculation. However, the actual task was to determine the percentage of the capacity of Tank A compared to Tank B, which the model correctly computed as 60%. Despite the incorrec... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we need to calculate the capacities of both tanks A and B using their given dimensions (heights and circumferences). Let's start by calculating the radius of each tank since the volume depends on the radius.\n\n### Step 1: Calculate the Radius\n\nThe formula for the circumference \\(C\\) of ... | [
true
] | [
"60.0%"
] | 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. The model response calculates the volumes of two tanks and finds the ratio of these volumes. However, the task was to determine the value of \\(f(\\lg 81)\\), where \\(f(x)\\) is the floor function. Instead, the model has calculated something unrelated to the floor function of the logari... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's factor out the greatest common factor (GCF) from \\(36 - 9x^2\\).\n\n1. **Factor out GCF**:\n \\[\n 36 - 9x^2 = 9(4 - x^2)\n \\]\n This simplifies our expression into a form where we can recognize a difference of squares.\n\n2. **Recognize Difference of Squares**:\n The term inside the par... | [
true
] | [
"9(2 - x)(2 + x)"
] | 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. The problem asked to factor the expression \\(36 - 9x^2\\). The model correctly factored it as \\(9(2 - x)(2 + x)\\). There were no errors in the steps provided, and the final simplified form matches the expected solution.\n\n<verdict>\nCorrect\n</verdict>"
] | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To factor \\(36 - 9x^2\\), let's start by looking at the expression as a whole. \n\nFirstly, notice that both terms (36 and \\(9x^2\\)) have a common factor of 9:\n\\[36 - 9x^2 = 9(4 - x^2)\\]\n\nNow we need to factor \\(4 - x^2\\). This looks like a difference of squares, which can be factored as \\((a^2 - b^2) =... | [
true
] | [
"9(2 - x)(2 + x)"
] | 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. The problem asked to factorize the expression \\(36 - 9x^2\\), and the solution correctly identified that it could be written as \\(9(4 - x^2)\\) and further factored into \\(9(2 - x)(2 + x)\\). The final answer matches the expected format of the fully factored expression.\n\n<verdict>\n... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's start by expressing both sides of the equation with the same base. We know that \\(4\\) can be written as \\(2^2\\). So, we rewrite the equation:\n\n\\[2^{x^2 - 3x - 2} = (2^2)^{x - 4}\\]\n\nThis simplifies to:\n\n\\[2^{x^2 - 3x - 2} = 2^{2(x - 4)}\\]\n\nSince the bases are the same, we can set the ex... | [
true
] | [
"5"
] | 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. The problem involves solving an exponential equation and checking the solutions. The steps taken to solve the equation were correct, including converting the bases, setting the exponents equal, factoring the quadratic equation, and verifying the solutions. The final answer provided, 5, i... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's start by expressing both sides of the equation with the same base. Since \\(4\\) can be written as \\(2^2\\), we rewrite the equation:\n\n\\[2^{x^2-3x-2} = (2^2)^{x-4}\\]\n\nThis simplifies to:\n\n\\[2^{x^2-3x-2} = 2^{2(x-4)}\\]\n\nSince the bases are now the same, we can equate the exponents:\n\n\\[x... | [
true
] | [
"5"
] | 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. The model correctly solved the exponential equation and verified the solutions by plugging them back into the original equation. The steps taken were logical and the solution process was accurate. The sum of the valid solutions was computed correctly as well.\n\n<verdict>\nCorrect\n</ver... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the nature of the function \\( f(x) \\). Since we know that \\( f(x) \\) is sinusoidal, it can generally take the form of either a sine or cosine function. Let's explore both forms:\n\n1. **Sine Form**: Suppose \\( f(x) = A \\sin(Bx + C) \\).\n2. **Cosine Form**: Alternatively, suppose \\( ... | [
true
] | [
"f(\\mathbf{x}) = A \\sin(\\mathbf{K} \\cdot \\mathbf{x} + \\phi) + B"
] | 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. The model response discusses the form of a sinusoidal function and its derivative having a constant magnitude. However, the original question asked for the value of \\( f(\\lg 81) \\) where \\( f(x) \\) is defined as the largest integer not exceeding \\( x \\). The model response incorre... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the nature of the function \\( f(x) \\). Since \\( f(x) \\) is sinusoidal, we can start by considering simple forms such as \\( f(x) = A \\sin(Bx + C) \\) or \\( f(x) = D \\cos(Ex + F) \\).\n\nAlternatively, we might think about more complex sinusoidal functions involving vectors because th... | [
false
] | [
"\\[ \\mathbf{f}(\\mathbf{x}) = A \\sin(\\mathbf{k} \\cdot \\mathbf{x} + \\phi) + B \\]"
] | 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. The model response discusses a function \\( f(x) \\) that is sinusoidal and considers its gradient and magnitude under certain conditions. However, the initial question and task were related to calculating the total payment made by Selene after a discount on purchases, which involves ari... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's calculate the total time available in minutes. Since the exam lasts for 3 hours, we have:\n\\[ 3 \\text{ hours} = 3 \\times 60 = 180 \\text{ minutes} \\]\n\nNow, let's assume the time taken for one type B problem is \\( t \\) minutes. Consequently, the time taken for one type A problem would be \\( ... | [
false
] | [
"\\(\\frac{1080}{43}\\)"
] | 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. The initial setup and calculation steps were incorrect. The problem involves determining the time spent on type A problems under certain constraints, but the solution incorrectly applies these principles to a different context involving logarithms and discounts. The model response starts... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's consider the total time available for the exam. The exam lasts 3 hours, which equals 180 minutes.\n\nAlternatively, we could think about allocating equal time to both types of problems initially, but given the nature of the problem (type A problems taking twice as long), this approach might not yield ... | [
false
] | [
"\\(\\frac{1080}{43}\\)"
] | 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. The initial calculation involved determining the time taken for each type of problem and solving for \\( t \\). However, the problem statement asks for the number of type A problems, not the time taken. The model response incorrectly solves for the time spent on type A problems rather th... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start evaluating the expressions one by one.\n\n**Expression 1: \\( P \\text{ and } Q \\)**\n\nIf we consider the definition of the \"and\" operator, it returns true only if both operands (in this case, \\( P \\) and \\( Q \\)) are true. Given that \\( P \\) is true and \\( Q \\) is false, the expression \\(... | [
false
] | [
"\"P and Q\" is false and \"P or Q\" is true."
] | 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. The problem involves evaluating logical expressions where \\( P \\) is true and \\( Q \\) is false. The model correctly states that \\( P \\text{ and } Q \\) results in false because \\( Q \\) is false, and \\( P \\text{ or } Q \\) results in true because \\( P \\) is true. The model's c... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start evaluating the expressions given the conditions that P is true and Q is false.\n\n1. **Expression 1: \"P and Q\"**\n - The \"and\" operator requires both operands to be true for the expression to be true.\n - Given that P is true (T) and Q is false (F), we have T and F.\n - Since one part of the ... | [
false
] | [
"\"P and Q\" is false and \"P or Q\" is true."
] | 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. The problem involves logical operators \"and\" and \"or\" with boolean values P and Q where P is true and Q is false. The evaluation of these operators is correctly done as per standard logic rules. \n\n<P> \"P and Q\" is evaluated to false because the conjunction requires both operands ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, let's start by understanding the constraints and properties involved. We need to arrange the digits \\(1\\) through \\(9\\) around a nonagon (a nine-sided polygon) such that the sum of any three consecutive digits is a multiple of \\(3\\). This means we need to consider the residues modulo \... | [
true
] | [
"48"
] | 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. The model response incorrectly applies the floor function to the logarithmic calculation, when the actual problem was to determine the number of valid arrangements of digits around a nonagon under certain conditions. The detailed steps show a misunderstanding of the problem context and a... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we need to consider the constraints given and the nature of the numbers involved. The key constraint is that the sum of any three consecutive digits must be a multiple of 3. This implies that the sequence of digits around the nonagon must have a repeating pattern modulo 3.\n\nFirstly, let's ... | [
true
] | [
"48"
] | 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. The model response incorrectly solves the problem given in the #Problem section, where the task was to find the number of ways to arrange the digits 1 through 9 such that the sum of any three consecutive digits is a multiple of 3. Instead of solving this problem correctly, the model resp... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the value of \\(Y\\), we start by calculating the dot product of the two given vectors. The dot product of vectors \\(\\begin{pmatrix} 5 \\\\ -2 \\end{pmatrix}\\) and \\(\\begin{pmatrix} -3 \\\\ Y \\end{pmatrix}\\) can be expressed as:\n\n\\[5 \\cdot (-3) + (-2) \\cdot Y = -15 - 2Y.\\]\n\nWe know from... | [
true
] | [
"-11"
] | 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. The model response calculates the value of \\(Y\\) correctly by solving the equation derived from the dot product condition. It starts with setting up the equation \\(-15 - 2Y = 7\\), solves for \\(Y\\) correctly through algebraic manipulation, and arrives at \\(Y = -11\\).\n\n<verdict>\... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the value of \\(Y\\) such that the dot product of the vectors \\(\\begin{pmatrix} 5 \\\\ -2 \\end{pmatrix}\\) and \\(\\begin{pmatrix} -3 \\\\ Y \\end{pmatrix}\\) equals 7, we start by calculating the dot product:\n\n\\[5 \\cdot (-3) + (-2) \\cdot Y = 7\\]\n\nThis simplifies to:\n\\[-15 - 2Y = 7\\]\n\n... | [
true
] | [
"-11"
] | 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. The model response correctly calculates the value of \\(Y\\) by solving the equation derived from the dot product condition. It also verifies the solution by substituting \\(Y = -11\\) back into the dot product formula, ensuring the correctness of the solution.\n\n<verdict>\nCorrect\n</v... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we can use the principle of inclusion-exclusion. Let's break down the steps:\n\n1. **Direct Addition**: We could add the percentages directly:\n - Red wristband: 40%\n - Blue wristband: 30%\n Total = 40% + 30% = 70%\n\n2. However, this approach would count those wearing both wristbands... | [
true
] | [
"1650"
] | 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. The model response incorrectly applies the principle of inclusion-exclusion to a problem involving monetary values rather than percentages. The calculations provided for the number of attendees wearing wristbands are accurate, but they were used to find the number of people, not the tota... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's calculate the number of people wearing only one color wristband and those wearing both colors separately. \n\nAlternatively, we could start by calculating the number of attendees wearing just a red wristband. Since 40% of the attendees wore a red wristband and 15% wore both, the percentage of people... | [
true
] | [
"1650"
] | 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. The problem involves determining the number of attendees wearing either a red or blue wristband, including those who wear both. The model response provides different approaches to solving the problem but arrives at an answer of 1650, which contradicts the given solution of 551. The corre... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider dividing the books equally in terms of quantity. Since there are 30 books and 5 shelves, we need to put 6 books per shelf. Now, let’s think about the distribution of book heights (1 inch, 2 inches, and 3 inches) across these shelves.\n\nAlternatively, we could distribute the books so that e... | [
true
] | [
"2"
] | 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. The model response discusses distributing books across shelves and calculating the height of books on each shelf, which is unrelated to the problem presented. It also concludes with an answer of 2, which does not match the expected answer of 551 based on the problem statement. \n\n<verdi... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider how we can distribute the books evenly across the shelves. Since there are 30 books and 5 shelves, each shelf must contain \\( \\frac{30}{5} = 6 \\) books. \n\nAlternatively, since we need to ensure the total height of the books on each shelf is the same and we have three types of books (1 ... | [
true
] | [
"2"
] | 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. The problem involves determining the correct distribution of books such that the total height of books on each shelf is the same. The model suggests distributing 2 books of each height (1 inch, 2 inches, and 3 inches) per shelf, leading to a total height of 12 inches per shelf. However, ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve the problem, we need to ensure that the quadratic equation \\( x^2 + ax + 14 = 0 \\) has real solutions and that these solutions are both positive integers. Let's start by considering the discriminant condition for real solutions:\n\n\\[ \\Delta = a^2 - 4 \\cdot 1 \\cdot 14 = a^2 - 56 \\]\n\nFor the solut... | [
true
] | [
"-8"
] | 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. The problem requires finding the smallest possible value of \\(a\\) such that the quadratic equation \\(x^2 + ax + 14 = 0\\) has real and positive integer solutions. The model response correctly identifies that the discriminant condition must hold, and it lists potential pairs of factors... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the nature of the roots given by the quadratic formula \\(x = \\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}\\) where our equation is \\(x^2 + ax + 14 = 0\\). Here, \\(a=1\\), \\(b=a\\), and \\(c=14\\).\n\nFor the quadratic to have real solutions, the discriminant must be non-negative:\n\\[a^2 - 4(1)(... | [
true
] | [
"-8"
] | 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. The problem involves finding the smallest negative integer \\(a\\) such that the quadratic equation \\(x^2 + ax + 14 = 0\\) has real and positive roots. The model correctly derived that \\(a^2 \\geq 56\\), leading to \\(|a| \\geq \\sqrt{56} \\approx 7.48\\). Given that \\(a\\) is negativ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Given the equation \\(x^2 + y^2 = 97\\), we need to determine which product \\(xy\\) is impossible among the options given.\n\nLet's start by considering the identity:\n\\[ (x+y)^2 = x^2 + y^2 + 2xy \\]\nSubstituting \\(x^2 + y^2 = 97\\):\n\\[ (x+y)^2 = 97 + 2xy \\]\n\nNow let's test each option:\n\n**Option 1: \\... | [
false
] | [
"16"
] | 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. The problem statement asks us to determine which product \\(xy\\) is impossible when \\(x^2 + y^2 = 97\\). We have checked four different values for \\(xy\\) and concluded that \\(xy = 16\\) leads to \\((x+y)^2 = 129\\), which is not a perfect square. This implies that \\(xy = 16\\) is i... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Given the equation \\(x^2 + y^2 = 97\\), we need to determine which product \\(xy\\) from the given options (1. \\(-32\\), 2. \\(48\\), 3. \\(64\\), 4. \\(16\\)) is impossible.\n\nLet's start by considering each option:\n\n1. **Option A: \\(xy = -32\\)**\n If \\(xy = -32\\), let's check if there exist real numbe... | [
true
] | [
"C"
] | 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 rechecking the logic presented in the model response regarding the impossibility of \\(xy = 64\\). The key point is verifying the quadratic equations derived from the condition \\(x^2 + y^2 = 97\\) and \\(xy = 64\\):\n\n1. From \\(x^2 + y^2 = 97\\) and \\(xy = 64\\), we have:\n \\[\n... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's count the members in each section:\n\n- **Percussion Section**: Sebastian (drums) = 1 person.\n- **Brass Section**: Four trombone players + Two trumpet players + One French horn player = 4 + 2 + 1 = 7 people.\n- **Strings Section**: Three violinists + A cellist + A contrabassist = 3 + 1 + 1 = 5 people... | [
true
] | [
"21"
] | 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. The model initially counted the members in each section and arrived at 20 people, but then considered the possibility of Sebastian being a second percussionist, changing the count to 21 people. However, the original problem did not specify that Sebastian plays multiple instruments, and t... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by counting the members in each section of the orchestra.\n\n**First, we consider the brass section:**\n- Trombones: 4\n- Trumpets: 2\n- French Horn: 1\n\nTotal in brass = 4 + 2 + 1 = 7\n\n**Next, we count the string section:**\n- Violins: 3\n- Cello: 1\n- Contrabass: 1\n\nTotal in strings = 3 + 1 + 1 ... | [
true
] | [
"21"
] | 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. The problem states that Sebastian plays drums and is also considered part of the percussion section. However, the model incorrectly counts Sebastian twice, once for his drumming role and once for being a member of the percussion section, leading to an overcount of 20. Additionally, the m... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To solve this problem, we need to calculate the interest accrued over the remaining period after the initial installment is paid. Alternatively, let's consider the total amount due minus the first installment and then add the interest.\n\nFirstly, the initial payment reduces the principal from Rs. 40000 to Rs. 390... | [
true
] | [
"23505"
] | 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. The model response calculates the future value of the 19 installments using the annuity formula and adds it to the remaining principal. However, the problem statement mentions nothing about a principal of Rs. 40000 or 19 installments of Rs. 1000. Instead, it seems to refer to a different... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the straightforward approach where we calculate the interest on the remaining balance after each installment is paid.\n\nAlternatively, we could think about calculating the total interest accrued over the period and subtracting it from the total amount due. However, this method might lead u... | [
true
] | [
"23505"
] | 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 the logical steps in the model response. The model response discusses various methods to calculate the last installment but ultimately provides an answer of 23505. This answer is derived from a detailed breakdown of payments and interests, suggesting it is meant to address a l... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To evaluate the limit of the function \\( f(x) = \\frac{1}{x} \\) as \\( x \\) approaches infinity, let's consider two different intervals: \\( (1, \\infty) \\) and \\( [1, \\infty) \\).\n\n**Using the Interval \\( (1, \\infty) \\):**\nWhen we use the open interval \\( (1, \\infty) \\), \\( x \\) gets arbitrarily ... | [
true
] | [
"0"
] | 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. The problem asks for the limit of \\( \\frac{1}{x} \\) as \\( x \\) approaches infinity, considering both the open interval \\( (1, \\infty) \\) and the half-open interval \\( [1, \\infty) \\). In both cases, as \\( x \\) grows larger, \\( \\frac{1}{x} \\) gets closer to zero. This concl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To evaluate the limit of the function \\( f(x) = \\frac{1}{x} \\) as \\( x \\) approaches infinity, let's consider two different intervals: the open interval \\( (1, \\infty) \\) and the half-open interval \\( [1, \\infty) \\).\n\n**Step-by-Step Evaluation Using Open Interval \\( (1, \\infty) \\):**\n\n1. **Unders... | [
true
] | [
"0"
] | 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. The model response incorrectly evaluates the limit of \\( f(x) = \\frac{1}{x} \\) as \\( x \\) approaches infinity, both for the open interval \\( (1, \\infty) \\) and the half-open interval \\( [1, \\infty) \\). It correctly concludes that the limit is 0 in both cases. However, the task... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the direct proportionality approach:\n- If 5 coins are worth $12, we can calculate the value of one coin.\n\\[ \\text{Value per coin} = \\frac{12}{5} = 2.4 \\]\n- Then, multiplying the value per coin by Adam's total number of coins (15):\n\\[ \\text{Total value} = 15 \\times 2.4 = 36 \\]\n\... | [
true
] | [
"36"
] | 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. The problem involves determining the value of \\(f(\\lg 81)\\), where \\(f(x)\\) is the floor function. The model correctly identified that \\(\\lg 81 = 1.9084\\), and then took the floor of this value, yielding 1. Given the definition of the floor function, this is indeed the correct ap... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the information given about Adam's collection. We know he has 15 coins and that 5 of these coins are worth $12. To determine the value per coin, we can divide the total value by the number of coins:\n\n\\[ \\text{Value per coin} = \\frac{12 \\text{ dollars}}{5 \\text{ coins}} = 2.4 \\text{ ... | [
true
] | [
"36"
] | 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. The model response incorrectly calculates the value of Adam's collection. It correctly determines the value per coin ($2.40) and uses multiplication to find the total value ($36). However, it then states the final answer is $36, which contradicts the actual calculation shown. Given that ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the tenth term of the geometric sequence \\(9, 3, 1, \\frac{1}{3}, \\ldots\\), let's first identify the common ratio \\(r\\).\n\nThe common ratio can be found by dividing any term by its preceding term:\n\\[ r = \\frac{3}{9} = \\frac{1}{3} \\]\n\nNow we know the common ratio \\(r = \\frac{1}{3}\\). Th... | [
false
] | [
"\\frac{1}{2187}"
] | 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. The problem involves finding the tenth term of a geometric sequence starting with 9 and having a common ratio of \\(\\frac{1}{3}\\). The model correctly identified the common ratio and used the appropriate formula for the nth term of a geometric sequence, \\(a_n = a_1 \\cdot r^{(n-1)}\\)... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's identify the common ratio of the geometric sequence \\(9, 3, 1, \\frac{1}{3}, \\ldots\\). The common ratio \\(r\\) can be found by dividing any term by its preceding term:\n\n\\[ r = \\frac{3}{9} = \\frac{1}{3} \\]\n\nSo, the common ratio is \\(\\frac{1}{3}\\).\n\nThe general form of the \\(n\\)-th te... | [
false
] | [
"\\(\\frac{1}{2187}\\)"
] | 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. The problem involves finding the tenth term of a geometric sequence where the first term is 9 and the common ratio is \\(\\frac{1}{3}\\). The formula for the \\(n\\)-th term of a geometric sequence is correctly applied, leading to the calculation \\(9 \\left(\\frac{1}{3}\\right)^9\\). Th... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the possible values of the azimuthal quantum number \\( l \\). The value of \\( l \\) ranges from 0 to \\( n-1 \\), where \\( n \\) is the principal quantum number. However, since we are focusing on \\( l \\) and its relation to \\( m \\), and not specifically tied to any particular \\( n \... | [
true
] | [
"2j + 1"
] | 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. The model response discusses the azimuthal quantum number \\( l \\) and its relation to the magnetic quantum number \\( m \\), and then incorrectly applies this concept to determine the number of distinct states for a given total angular momentum \\( j \\). The correct approach for deter... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's consider the possible values of the azimuthal quantum number \\( l \\). The azimuthal quantum number \\( l \\) represents the shape of the orbital and can take any integer value from 0 up to but not including the principal quantum number \\( n \\). Therefore, for a given \\( n \\), \\( l \\) can ran... | [
true
] | [
"2j + 1"
] | 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. The problem asks for the number of distinct states that can be represented by the quantum numbers for a given total angular momentum \\( j \\). According to the model response, the number of such states is \\( 2j + 1 \\), which directly matches the definition provided in the explanation.... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's solve the system of equations given:\n\n1. \\(x + y = 13\\)\n2. \\(x - y = 3\\)\n\nAdding these two equations together eliminates \\(y\\) and gives us:\n\\[ (x + y) + (x - y) = 13 + 3 \\]\n\\[ 2x = 16 \\]\n\\[ x = 8 \\]\n\nSubstituting \\(x = 8\\) back into the first equation:\n\\[ 8 + y = 13 \\]\n\\[... | [
false
] | [
"(D) 39"
] | 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. The problem asks to find the value of \\(x^2 - y^2\\) where \\(x\\) and \\(y\\) are solutions to the system of equations \\(x + y = 13\\) and \\(x - y = 3\\). The solution steps correctly identify \\(x = 8\\) and \\(y = 5\\). Then, the calculation of \\(x^2 - y^2\\) is done twice: once u... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's solve the system of equations given:\n\n1. \\(x + y = 13\\)\n2. \\(x - y = 3\\)\n\nAdding these two equations together eliminates \\(y\\):\n\n\\[ (x + y) + (x - y) = 13 + 3 \\]\n\\[ 2x = 16 \\]\n\\[ x = 8 \\]\n\nSubstituting \\(x = 8\\) back into the first equation to solve for \\(y\\):\n\n\\[ 8 + y =... | [
false
] | [
"(D) 39"
] | 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. The problem asks to find the value of \\(f(\\lg 81)\\) where \\(f(x)\\) is the floor function. The model response correctly calculates \\(\\lg 81 \\approx 1.9084\\) and then applies the floor function to this result, yielding 1. Given that the floor function rounds down to the nearest in... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the largest possible volume of a box with a square base and an open top that can be constructed using 1200 cm² of material, let's start by defining the variables and setting up the equations.\n\nLet \\( x \\) be the side length of the square base and \\( h \\) be the height of the box. The surface are... | [
true
] | [
"4000"
] | 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. The problem asked for the largest possible volume of a box with a square base and an open top constructed using 1200 cm² of material. The solution correctly set up the equations, found the critical point, and substituted back to find the dimensions leading to a volume of 4000 cm³. Howeve... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To start, let's denote the side length of the square base as \\( x \\) and the height of the box as \\( h \\). The surface area used to construct the box is given by the area of the base plus the area of the four sides:\n\n\\[ \\text{Surface Area} = x^2 + 4xh = 1200 \\]\n\nWe aim to maximize the volume \\( V \\), ... | [
true
] | [
"4000"
] | 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. The problem involves maximizing the volume of a box given its surface area constraint. The steps taken to derive the solution are mathematically sound and follow standard calculus optimization techniques. The critical point found and subsequent substitution are correctly executed. The vo... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the expected position of a random walk after \\( n \\) steps, let's break down the problem into simpler components.\n\nFirstly, consider the movement at each step:\n- With probability \\( p \\), we move one unit to the right.\n- With probability \\( 1-p \\), we move one unit to the left.\n\nLet \\( X_... | [
true
] | [
"n(2p - 1)"
] | 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. The model correctly described the process of determining the expected position of a random walk after \\( n \\) steps, using the concept of linearity of expectation and calculating the expected value of each step. The final expression derived is indeed \\( n(2p - 1) \\), which matches th... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the expected position of a simple random walk after \\( n \\) steps, we can start by analyzing the movement at each step. Let's denote the position after \\( n \\) steps as \\( X_n \\).\n\n### Step-by-Step Reasoning\n\n#### Step 1: Define the Random Variables\nAt each step, let \\( Y_i \\) be the outc... | [
true
] | [
"n(2p - 1)"
] | 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. The problem statement asks for the expected position of a simple random walk after \\( n \\) steps. The model correctly defines the random variables and calculates the expected value step by step. It also provides an alternative approach to confirm the solution. Both methods lead to the ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine which of the given factors must divide the number \\( wqrwqr \\), let's first express \\( wqrwqr \\) mathematically. The number can be written as:\n\n\\[ wqrwqr = 100000w + 10000q + 1000r + 100w + 10q + r \\]\n\\[ = 100100w + 10010q + 1001r \\]\n\\[ = 1001(100w + 10q + r) \\]\n\nNow we need to check w... | [
false
] | [
"(D)"
] | 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. The problem involves determining which factor must divide the number \\( wqrwqr \\). The model correctly expressed \\( wqrwqr \\) as \\( 1001(100w + 10q + r) \\). It then checked divisibility by 23, 19, and 17, showing they are not factors of 1001. Finally, it noted that 1001 is divisibl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine which factor must divide \\(wqrwqr\\), let's first express the number in a more manageable form. The number \\(wqrwqr\\) can be written as:\n\n\\[ wqrwqr = 1000 \\cdot wqr + wqr = wqr \\cdot (1000 + 1) = wqr \\cdot 1001 \\]\n\nNow, we need to factorize 1001 to understand its factors better:\n\\[ 1001 ... | [
false
] | [
"(D)"
] | 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. The problem statement asks us to determine which factor must divide \\(wqrwqr\\). The solution correctly expresses \\(wqrwqr\\) as \\(wqr \\cdot 1001\\) and factorizes 1001 into \\(7 \\times 11 \\times 13\\). It then correctly identifies that 7 is one of the factors of 1001, and thus a f... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine how far the car will travel in 9 hours, we need to multiply its speed by the time traveled. The speed of the car is given as 65 miles per hour.\n\nLet's start with a straightforward calculation:\n\\[ \\text{Distance} = \\text{Speed} \\times \\text{Time} = 65 \\, \\text{miles/hour} \\times 9 \\, \\text... | [
false
] | [
"585 miles"
] | 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. The problem asks for the distance traveled by a car going 65 miles per hour over 9 hours. The solution correctly calculates the distance as \\(65 \\, \\text{miles/hour} \\times 9 \\, \\text{hours} = 585 \\, \\text{miles}\\). Both the direct calculation and the broken-down method yield th... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's calculate the distance directly from the given information:\n\\[ \\text{Distance} = \\text{Speed} \\times \\text{Time} \\]\n\\[ \\text{Distance} = 65 \\, \\text{miles/hour} \\times 9 \\, \\text{hours} \\]\n\\[ \\text{Distance} = 585 \\, \\text{miles} \\]\n\nAlternatively, we can think about it in sm... | [
false
] | [
"(585 miles)"
] | 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. The problem statement mentions nothing about speed, time, or distance. Instead, it provides details about the purchase of cameras and frames and a subsequent discount. The solution provided calculates the total cost before and after the discount correctly. However, the model response sta... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by calculating the grounding period step by step.\n\nFirstly, we know that Cassidy is initially grounded for 14 days for lying about her report card.\nAlternatively, let's consider the additional days added because of grades below a B. Since each grade below a B adds 3 extra days and Cassidy has four s... | [
true
] | [
"26"
] | 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. The problem involves determining the total grounding period based on initial days and additional days due to poor grades. The calculation steps provided seem logically sound. Initially, Cassidy is grounded for 14 days. Additionally, for each grade below a B, there are 3 extra days. With ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by breaking down the problem into parts:\n\nFirstly, Cassidy is initially grounded for 14 days.\nAlternatively, we could consider that there might be another way to calculate the initial grounding period, but since the problem clearly states 14 days, we'll stick with that.\n\nNext, for each grade below... | [
true
] | [
"26"
] | 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. The problem involves calculating the total grounding days for Cassidy. Initially, she is grounded for 14 days. Additionally, for every grade below a B, she receives an extra 3 days of grounding. Given that she has 4 grades below a B, the calculation is as follows:\n\nInitial grounding: 1... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's calculate what the increased rate for 1996 would be without any reduction in water usage:\n\nThe original cost was $800. With a 50% increase, the new cost would be:\n\\[ 800 \\times 1.5 = 1200 \\]\n\nTo spend exactly the same amount of $800 in 1996 despite the price increase, the Johnsons need to re... | [
false
] | [
"(A) 33 1⁄3%"
] | 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. The problem states that the Johnsons need to reduce their water usage to keep the same expenditure despite a 50% increase in water prices. The calculation shows that the Johnsons need to use two-thirds of the water they used previously, which is equivalent to a 33.33% reduction. The mode... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by calculating what the cost of water would be in 1996 if there was no reduction in water usage. If the rates increased by 50%, the new bill would be:\n\n\\[ \\text{New Bill} = \\$800 + (\\$800 \\times 0.50) = \\$800 + \\$400 = \\$1200 \\]\n\nNow, let's consider alternative scenarios where the Johnsons... | [
false
] | [
"(A) 33 1⁄3%"
] | 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. The problem involves determining the correct reduction in water usage that allows the Johnsons to pay exactly $800 after a 50% rate increase. The model correctly calculates that a 33 1/3% reduction in water usage results in the exact amount of $800 being paid. All other reductions either... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's calculate how many shots were blocked. If the player attempts 120 shots and 25 percent of these shots are blocked:\n\n\\[ \\text{Blocked shots} = 120 \\times 0.25 = 30 \\]\n\nNext, we need to determine how many of these blocked shots result in the opposing team gaining possession. According to the pro... | [
true
] | [
"20"
] | 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. The problem involves calculating the number of possessions gained when a player blocks 25% of their 120 shots, and two-thirds of those blocks result in the opposing team gaining possession. The steps taken in the model response correctly apply the given percentages to arrive at the solut... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's calculate how often the player is blocked. If she is blocked 25% of the time out of 120 shots, we can calculate:\n\n\\[ \\text{Blocked shots} = 120 \\times 0.25 = 30 \\]\n\nAlternatively, we could consider that since 25% means one quarter of the total shots, \\( \\frac{1}{4} \\) of 120 is indeed 30.... | [
true
] | [
"20"
] | 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. The calculation provided correctly determines the number of possessions gained by the opposing team when the player is blocked. It calculates that out of 120 shots, 30 are blocked, and two-thirds of these 30 blocked shots lead to the opposing team gaining possession. This results in 20 p... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's square both sides of the given equation to eliminate the square root:\n\\[\n(\\sqrt{3x + 7})^2 = 10^2 \\implies 3x + 7 = 100.\n\\]\nNext, we solve for \\(x\\) by isolating it on one side of the equation:\n\\[\n3x = 100 - 7 \\implies 3x = 93 \\implies x = \\frac{93}{3} \\implies x = 31.\n\\]\n\nAlterna... | [
true
] | [
"31"
] | 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. The problem asks to determine the value of \\(f(\\lg 81)\\) where \\(f(x)\\) is the largest integer not exceeding \\(x\\). We have already determined that \\(\\lg 81 \\approx 1.9084\\). Applying the floor function correctly, we take the greatest integer less than or equal to 1.9084, whic... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's square both sides of the given equation \\(\\sqrt{3x + 7} = 10\\) to eliminate the square root.\n\\[\n(\\sqrt{3x + 7})^2 = 10^2\n\\]\nThis simplifies to:\n\\[\n3x + 7 = 100\n\\]\n\nNext, we solve for \\(x\\) by isolating it on one side of the equation. We start by subtracting 7 from both sides:\n\\[\n... | [
true
] | [
"31"
] | 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. The problem asked for the value of \\( f(\\lg 81) \\), where \\( f(x) \\) is the largest integer not exceeding \\( x \\). The model correctly calculated \\( \\lg 81 \\approx 1.9084 \\) and then applied the floor function to get \\( f(1.9084) = 1 \\). This matches the definition of the fl... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"First, let's break down the expression √{(2.4)(10^9)}. We can simplify this into two parts:\n\n1. Calculate the square root of \\(10^9\\).\n2. Multiply the result by the square root of 2.4.\n\nLet's start with the first part:\n- The square root of \\(10^9\\) is \\(10^{4.5}\\), because \\(\\sqrt{10^9} = 10^{9/2} = ... | [
true
] | [
"50,000"
] | 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. The problem involves finding the value of \\(f(\\lg 81)\\), where \\(f(x)\\) is the largest integer not exceeding \\(x\\). The steps taken to solve the problem were accurate in calculating \\(\\lg 81 \\approx 1.9084\\) and correctly identifying that the floor of 1.9084 is 1. \n\n<verdict... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's approach this problem step-by-step and see where our calculations lead us.\n\nFirstly, let's simplify the expression \\(\\sqrt{(2.4)(10^9)}\\).\n\nWe can break it down into two parts:\n- The square root of \\(2.4\\).\n- The square root of \\(10^9\\).\n\nThe square root of \\(10^9\\) is \\(10^{4.5}\\), becaus... | [
true
] | [
"50,000"
] | 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. The model incorrectly solved the initial problem presented, which asked for the evaluation of \\( \\sqrt{(2.4)(10^9)} \\). Instead of correctly solving this problem, the model attempted to relate it to a different problem involving the floor function. Given the context, the correct answe... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's start by setting up the problem correctly and incorrectly:\n\nIncorrectly:\nThe incorrect operation given is adding 238 to a number, which resulted in 637. So, let's denote the unknown number as \\( x \\). The incorrect equation is:\n\\[ x + 238 = 637 \\]\nSolving for \\( x \\):\n\\[ x = 637 - 238 = 399 \\]\... | [
true
] | [
"17"
] | 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. The model starts off incorrectly by discussing an unrelated addition problem. It then correctly identifies the need to subtract 382 from the derived number, 399, leading to the calculation 399 - 382 = 17. This part is accurate. However, the explanation of solving the initial incorrect eq... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, let's understand what happened in the mistaken calculation:\n- A number \\( x \\) was mistakenly added with 238.\n- The actual operation intended was to subtract 382 from \\( x \\).\n\nFrom the problem, we know:\n\\[ x + 238 = 637 \\]\nSolving for \\( x \\):\n\\[ x = 637 - 238 = 399 \\]\n\nNow, applying t... | [
true
] | [
"17"
] | 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. The model response initially calculates the value of \\( x \\) when \\( x + 238 = 637 \\), which results in \\( x = 399 \\). It then subtracts 382 from 399 to obtain 17. This matches the process described in the model response itself, indicating the steps were followed accurately. The fi... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the horizontal asymptote of the function \\( y = \\frac{8x^4 + 2x^3 + 6x^2 + 2x + 5}{2x^4 + x^3 + 7x^2 + x + 3} \\), we need to analyze the behavior of the function as \\( x \\) approaches infinity.\n\n### Step-by-Step Analysis\n\n1. **Identify the degrees of the numerator and denominator:**\n - The... | [
false
] | [
"(4)"
] | 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. The model correctly identified the horizontal asymptote by comparing the leading coefficients of the numerator and the denominator since they had the same degree. It also mentioned the alternative method of polynomial division, showing the remainder tends to zero as \\(x\\) approaches in... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the horizontal asymptote of the function \\( y = \\frac{8x^4 + 2x^3 + 6x^2 + 2x + 5}{2x^4 + x^3 + 7x^2 + x + 3} \\), we need to analyze the behavior of the function as \\( x \\) approaches infinity.\n\nFirstly, let's consider the degrees of the polynomials in the numerator and the denominator:\n- The ... | [
true
] | [
"4"
] | 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. The model correctly identified the process to find the horizontal asymptote when the degrees of the numerator and denominator are equal. It correctly took the limit as \\(x\\) approaches infinity and used the leading coefficients to find the horizontal asymptote, which is indeed \\(y = 4... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Firstly, consider the spectrum of the Laplace-Beltrami operator on a compact Riemannian manifold (which our surface \\( M \\) is). The eigenvalues of the Laplace-Beltrami operator are discrete and form a sequence \\( \\lambda_1, \\lambda_2, \\ldots \\).\n\nOne way to approach understanding the asymptotic behavior ... | [
false
] | [
"S_n \\sim \\frac{2\\pi}{\\text{Area}(M)} n^2."
] | 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. The model response discusses the asymptotic behavior of the sum of the first \\( n \\) eigenvalues of the Laplace-Beltrami operator on a compact Riemannian manifold, suggesting a relationship involving the area of the surface. However, the problem and the solution method seem unrelated t... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To understand the behavior of the sum \\( S_n = \\sum_{i=1}^n \\lambda_i \\) as \\( n \\to \\infty \\), we need to consider the spectral properties of the Laplace-Beltrami operator on a compact Riemannian manifold \\( M \\).\n\n**Step 1:** The spectrum of the Laplace-Beltrami operator on a compact Riemannian manif... | [
true
] | [
"S_n \\sim \\frac{2\\pi}{\\text{Area}(M)} n^2"
] | 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. The model correctly identifies the relevant steps and uses Weyl's law to approximate the sum of the eigenvalues. It also correctly derives the quadratic relationship between \\(S_n\\) and \\(n\\). Given the context and the problem, the derived expression \\(S_n \\sim \\frac{2\\pi}{\\text... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To determine the minimum number of colors needed to color the given graph, we need to analyze its structure and apply graph coloring principles.\n\nFirstly, let's observe the structure:\n- The graph consists of several horizontal rows.\n- Each row contains 7 dots.\n- There are additional connections forming a repe... | [
true
] | [
"2"
] | 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. The problem involves determining the minimum number of colors required to properly color a specific graph where no two adjacent nodes share the same color. The model correctly identifies that using 2 colors allows for proper coloring under the described conditions. The explanation includ... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"Let's analyze the structure of the graph first. The graph appears to have several horizontal rows of dots, with connections forming a pattern that repeats horizontally. We need to determine the minimum number of colors required to color the vertices so that no two adjacent vertices share the same color.\n\n**Step ... | [
true
] | [
"2"
] | 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. The problem involves determining the minimum number of colors required to properly color a specific graph pattern. The model correctly identifies that the graph forms a bipartite structure, allowing it to be colored with just 2 colors. The alternative approach also confirms this by showi... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To factor \\(x^2 + bx + 9\\) into the product of two binomials with integer coefficients, we need to find values of \\(b\\) such that the quadratic expression can be written as \\((x + p)(x + q)\\), where \\(p\\) and \\(q\\) are integers. This means that:\n\n\\[p + q = b\\]\n\\[pq = 9\\]\n\nLet's list the pairs of... | [
true
] | [
"-10, -6, 6, 10"
] | 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. The model correctly identified the necessary steps and pairs of integers whose product is 9. It also correctly computed the corresponding values of \\(b\\). There were no errors in calculation or logic presented.\n\n<verdict>\nCorrect\n</verdict>"
] | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To factor \\( x^2 + bx + 9 \\) into the product of two binomials with integer coefficients, we need to find values of \\( b \\) such that the quadratic can be expressed in the form \\( (x + p)(x + q) \\), where \\( p \\) and \\( q \\) are integers. Expanding \\( (x + p)(x + q) \\) gives us:\n\n\\[ x^2 + (p + q)x +... | [
false
] | [
"(10, -10, 6, -6)"
] | 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. The problem asks to find the factors of the quadratic expression \\(x^2 + bx + 9\\) and lists the possible values of \\(b\\). The model correctly identifies the factor pairs and their sums, arriving at the possible values for \\(b\\). These values are indeed \\(10, -10, 6, -6\\). The for... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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": "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 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... | 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 | [
"To address the problem, we need to design a structure in Generalized Minesweeper that enforces the Hexcells rule {3}, meaning a cell must have exactly three adjacent mines, and these mines must be connected. Let’s explore possible structures step-by-step.\n\n### Step 1: Basic Structure\nWe start by considering a s... | [
true
] | [
"7"
] | 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. The model response discusses designing a structure for Generalized Minesweeper and provides configurations to enforce a specific rule. However, the question and the model response seem unrelated. The model incorrectly answers 7 when the expected answer is related to the floor function ap... | [
false
] | [
""
] | {
"api_url": "http://10.32.36.250:9080/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
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.