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In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"model_name": "hosted_vllm/Qw... | [
"Let's approach this problem from a unique perspective:\n\n1. **Visualize the Ratio**: Imagine the ratio of selfies taken last year (10) to this year (17) as two different-sized circles where each circle represents the total number of selfies.\n\n2. **Total Photos as a Circle**: Since there are 2430 photos in total... | [
true
] | [
"(630)"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total calories from the cookies first, which is correct. It then finds the remaining calories needed to reach 500 calories and converts that into the number of crackers. However, it incorrectly multiplies the remaining calories by 15 instead of dividi... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's think about this creatively!\n\nFirstly, we know that Malachi has taken a total of 2430 photos in his gallery. The ratio of selfies from last year to this year is given as 10:17. This means for every 10 selfies from last year, there are 17 selfies from this year. \n\nNow, imagine these selfies were div... | [
false
] | [
"13600"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. The model calculates the total calories from the cookies: \\(7 \\times 50 = 350\\) calories.\n2. It then finds the difference between the total calories needed (500 calories) and the calories already consumed (350 calories): \\(500 - 350 = 150\\) calories.\n3. Finally, it divides t... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively!\n\nFirstly, let's consider the given ratio of selfies taken last year (L) to this year (C). We know it’s 10:17. This means for every 10 selfies taken last year, there are 17 taken this year.\n\nNext, we're told the total number of photos in Malachi's gallery is 2430. To find out how... | [
false
] | [
"-1980"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Calculations**:\n - Total calories from cookies: \\(7 \\times 50 = 350\\)\n - Remaining calories needed: \\(500 - 350 = 150\\)\n\n2. **Dividing the remaining calories by the calorie content of a cracker**:\n - Calories per cracker: 15\n - Number of crackers needed: \\(150... | [
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"",
"",
"",
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's think about this creatively!\n\nImagine Malachi has a special album where every photo represents a number. Last year, each selfie corresponds to one unit (let's say it’s just 1 unit). This means for every 10 selfies taken last year, there were 17 selfies taken this year.\n\nNow, let's break down the total nu... | [
false
] | [
"147"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, let's break down the problem correctly:\n\n1. Calculate the total calories from cookies:\n \\( 7 \\text{ cookies} \\times \\$50 \\text{ per cookie} = \\$350 \\)\n\n2. Subtract the calories from cookies from the total calories needed:\n \\( \\$500 - \\$350 = \\$150 \\)\n\n3.... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem creatively, let's imagine we're looking at a storybook where Malachi takes pictures every day for a year. We'll count the days in our imagination instead of counting actual years.\n\nImagine each picture taken last year represents one day of writing in Malachi's diary. This means he wrote 10 ... | [
false
] | [
"7"
] | creative | [
{
"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 ratio and uses it to set up equations based on the total number of photos. It calculates the number of photos taken last year as \\( \\frac{10}{27} \\times 2430 \\) and the number of photos taken this year as \\( \\frac{17}{27} \\times 2430 \\). However... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively:\n\n1. **Identify Key Elements**: We know the ratio of selfies taken last year (L) to this year (Y), which is 10:17.\n - This means \\( L : Y = 10 : 17 \\).\n\n2. **Set Up Variables**: Let’s denote:\n - \\( L = 10x \\) (where x is some multiplier).\n - \\( Y = 17x \\)\n\n3. **T... | [
true
] | [
"(630)"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model calculates the total calories from cookies first:\n\\[ 7 \\text{ cookies} \\times 50 \\text{ calories/cookie} = 350 \\text{ calories} \\]\n\nThen, it finds out how many crackers are needed to make up the rest of the calories:\n\\[ 500 \\text{ calories} - 350 \\text{ calories... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's approach this problem creatively:\n\n1. **Imagine the Ratio**: Instead of directly calculating the difference between selfies taken last year and this year, let’s imagine each part of the ratio (10 for last year, 17 for this year) represents different types of media rather than just selfies.\n\n2. **Visualiz... | [
true
] | [
"(630)"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total calories from the cookies first and then determines how many crackers are needed to reach 500 calories. It correctly multiplies 7 cookies by 50 calories each to get 350 calories. Subtracting this from 500 gives 150 calories left. Dividing 150 by... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
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"temperature": 0.7,
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"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem:\n\n1. **Understand the given information**:\n - The ratio of selfies taken last year (L) to this year (T) is 10:17.\n - Total photos = 2430\n\n2. **Set up the equation using the ratio**:\n \\[\n L : T = 10 : 17 \\implies \\frac{L}{T} = \\frac{10}{17}\n \\]\n\n3. **Expr... | [
true
] | [
"630"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. According to the model response, the first part calculates the calories from cookies: \\(7 \\times 50 = 350\\).\n2. Next, it subtracts this amount from the total calories needed: \\(500 - 350 = 150\\).\n3. Finally, it divides this remaining amount by the calorie count per cracker: ... | [
false,
false,
false,
false
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"",
"",
"",
""
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"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"max_tokens": 1024,
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"temperature": 0.7,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
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"Let's start by understanding the given information:\n- The ratio of selfies taken last year (L) to this year (T) is 10:17.\n- The total number of photos in the gallery is 2430.\n\nWe can set up the equation based on the ratio:\n\\[ \\frac{L}{T} = \\frac{10}{17} \\]\n\nThe total number of photos is the sum of selfi... | [
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] | [
"630"
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{
"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 sets up an equation where the total number of photos is the sum of selfies from both years. It correctly identifies the ratio of selfies taken last year to this year as 10:17. However, when solving for \\( L \\), the model uses the wrong approach by dividing instead of multiply... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
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"model_name": "hosted_vllm/Qw... | [
"First, let's set up the ratio given in the problem. The ratio of selfies taken last year (L) to this year (T) is 10:17. This means we can write:\n\n\\[ \\frac{L}{T} = \\frac{10}{17} \\]\n\nWe also know the total number of photos in the gallery is 2430. So, if L + T = 2430, we can substitute L for \\( \\frac{10}{17... | [
false
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model sets up the ratios correctly as 10:17 for selfies taken last year (L) and this year (T). However, when solving for T using the equation \\(\\frac{10}{17}T = 2430\\), the model incorrectly multiplies both sides by 17 instead of dividing by 17. This results in an incorrect val... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
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"model_name": "hosted_vllm/Qw... | [
"Let's start by setting up our equation based on the given information:\n\n1. Let \\( x \\) be the number of selfies taken last year.\n2. Then the number of selfies taken this year would be \\( 10x \\).\n3. The total number of selfies taken over both years is \\( x + 10x = 2430 \\).\n\nSo we can set up the equation... | [
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] | [
"200"
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{
"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 sets up the problem correctly by defining variables for the quantities involved. It calculates the total calories from the cookies and then finds out how many crackers are needed to make up the remaining calories. However, there seems to be an error in the calculation of the nu... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Let's break down the problem:\n\n1. The ratio of selfies taken last year (L) to this year (Y) is given as 10:17.\n2. We know the total number of photos is 2430.\n3. Let's assume L = 10x and Y = 17x, where x is a common multiplier.\n4. According to the ratio, we have:\n \\( \\frac{L}{Y} = \\frac{10}{17} \\)\n\nNo... | [
false
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"271"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly identifies the variables involved:\n- Crackers: 15 calories each\n- Cookies: 50 calories each\n- Calories eaten so far: 7 cookies × 50 calories/cookie = 350 calories\n- Total calories desired: 500 calories\n- Remaining calories needed: 500 calories - 350 calories =... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Let's start by setting up the equation based on the given ratio and total number of photos:\n\n\\[ \\text{Total photos} = \\frac{\\text{Selfies from last year}}{\\text{Ratio for last year}} + \\frac{\\text{Selfies from this year}}{\\text{Ratio for this year}} \\]\n\nGiven:\n- The ratio of selfies taken last year t... | [
true
] | [
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{
"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 sets up an equation based on the given ratio and total number of photos, but it incorrectly combines the terms instead of solving for \\(x\\) first. Let's go through the steps correctly:\n\n\\[ \\text{Total photos} = \\frac{\\text{Selfies from last year}}{\\text{Ratio for last ... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"max_tokens": 4096,
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's start solving the problem.\nStep 1: Let's denote the number of selfies taken last year as \\( x \\) and the number taken this year as \\( y \\).\nAccording to the given ratio, we have:\n\\[ \\frac{x}{y} = \\frac{10}{17} \\]\nThis implies:\n\\[ y = \\frac{17x}{10} \\]\n\nStep 2: We know the total number... | [
true
] | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, calculate the total calories from the cookies:\n\\[ 7 \\text{ cookies} \\times \\$50/\\text{cookie} = \\$350 \\]\n\nNext, subtract the calories from the cookies from the total calories needed:\n\\[ \\$500 - \\$350 = \\$150 \\]\n\nThen, divide the remaining calories by the calor... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem:\n\n1. **Understand the given ratio**: The ratio of selfies taken last year (L) to this year (Y) is 10:17.\n \\[\n \\frac{L}{Y} = \\frac{10}{17}\n \\]\n\n2. **Set up equations based on total photos**: Let \\( L \\) be the number of selfies from last year and \\( Y \\) be th... | [
false
] | [
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] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Understanding the given ratio**: The ratio of selfies taken last year (L) to this year (Y) is 10:17.\n \\[\n \\frac{L}{Y} = \\frac{10}{17}\n \\]\n\n2. **Setting up equations based on total photos**: Let \\( L \\) be the number of selfies from last year and \\( Y \\) be the ... | [
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"",
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
"max_tokens": 4096,
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"temperature": 0.7,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many selfies Malachi took last year and this year based on the given ratio and total number of photos.\n\nStep 1: Let's denote the number of selfies taken last year as \\( x \\) and this year as \\( y \\). According to the problem, the ratio of selfies from last year... | [
false
] | [
"360"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nTo find out how many selfies Malachi took this year compared to last year, we use the given ratio and total number of photos.\n\n1. **Ratio Calculation**: The ratio of selfies from last year to this year is 10:17. Let \\( x \\) be the number of selfies taken last year and \\( y \\) be... | [
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"",
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many selfies Malachi took last year and this year based on the given ratio and total number of photos.\n\n**Step 1:** Let's denote the number of selfies taken last year as \\( x \\) and the number of selfies taken this year as \\( y \\). According to the problem, the... | [
true
] | [
"(630)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n**Step 1:** Let's denote the number of selfies taken last year as \\( x \\) and the number of selfies taken this year as \\( y \\). According to the problem, the ratio of selfies taken last year to those taken this year is 10:17. This can be written as:\n\\[ \\frac{x}{y} = \\frac{10}{... | [
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false
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"",
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] | {
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's first determine the total parts in the ratio given:\n\n1. The ratio of selfies taken last year to this year is 10:17.\n2. This means there are 10 + 17 = 27 parts in total.\n\nNext, we know that the total number of photos in the gallery is 2430. To find out how many photos correspond to... | [
true
] | [
"630"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Calculate the total number of selfies taken last year:\n \\( \\text{Photos last year} = \\frac{10}{27} \\times 2430 \\)\n\n2. Calculate the total number of selfies taken this year:\n \\( \\text{Photos this year} = \\frac{17}{27} \\times 2430 \\)\n\n3. Subtract the number of pho... | [
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false,
false
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"",
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"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many selfies Malachi took last year and this year based on the given ratio and total number of photos.\n\n**Step 1: Define Variables**\nLet \\( x \\) be the number of selfies taken last year.\nAccording to the ratio, the number of selfies taken this year would be \\(... | [
true
] | [
"(630)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. According to the model response, they calculate the total calories from the cookies first: \\(7 \\times 50 = 350\\) calories.\n2. They then find out how many calories are left after eating the cookies: \\(500 - 350 = 150\\) calories.\n3. Finally, they divide these remaining calorie... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's break it down into steps:\n\n1. **Understand the given information**:\n - The ratio of selfies taken last year to this year is 10:17.\n - Total number of photos in the gallery is 2430.\n\n2. **Define variables**:\n Let \\( x \\) be the number of selfies taken last year.\n Then,... | [
false
] | [
"160"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly identifies the problem as involving two types of snacks (crackers and cookies), calculating the calories for each type separately, and then determining how many crackers are needed to reach a total of 500 calories after consuming 7 cookies.\n\n1. Calculate the calo... | [
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false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine the number of selfies taken last year and this year based on the given ratio and total number of photos.\n\n**Step 1: Define Variables**\nLet \\( x \\) be the number of selfies taken last year.\nThen, the number of selfies taken this year would be \\( 17x \\).\n\n**Step ... | [
false
] | [
"2160"
] | alternatively | [
{
"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: To answer this question, we need to find out how many selfies Malachi took last year first. According to the problem, the ratio of selfies taken last year to this year is 10:17. Let's denote the number of selfies taken last year as \\( x \\). Therefore, the number of selfies taken this y... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many selfies Malachi took last year and this year based on the given ratio and total number of photos.\n\n### Step-by-Step Solution:\n\n1. **Understand the Ratio**:\n - The ratio of selfies taken last year to this year is 10:17.\n - This means that for every 10 s... | [
false
] | [
"(2160)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Calculate the total calories from the cookies:\n \\( 7 \\text{ cookies} \\times \\$50/\\text{cookie} = \\$350 \\)\n\n2. Subtract the calories from the cookies from the total calories needed:\n \\( \\$500 - \\$350 = \\$150 \\)\n\n3. Determine how many crackers are needed to make... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine the number of selfies taken last year and this year based on the given ratio and total number of photos.\n\n**Step 1:** Let's denote the number of selfies taken last year as \\( x \\) and the number of selfies taken this year as \\( y \\).\n\nGiven the ratio of selfies f... | [
true
] | [
"630"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly sets up the equations based on the given information:\n- Last year: \\( x = 10k \\)\n- This year: \\( y = 17k \\)\n\nTotal photos: \\( x + y = 2430 \\)\n\nCombining these gives:\n\\[ 10k + 17k = 2430 \\]\n\\[ 27k = 2430 \\]\n\\[ k = 90 \\]\n\nSo,\n- Last year: \\( ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year?\n\nStep-by-step reasoning:\n\n1. Let's denote the number of selfies taken last year as \\( x \\).\n2. Acco... | [
false
] | [
"2160"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly sets up the equations based on the given information. It calculates the total calories from the cookies first:\n\\[ 7 \\times 50 = 350 \\text{ calories} \\]\n\nThen it subtracts these calories from the total calories needed (500 calories):\n\\[ 500 - 350 = 150 \\te... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi has the number of selfies he took last year and this year in the ratio of 10:17. He has a total of 2430 photos in his gallery. How many more photos did he take this year than last year?\n\nStep-by-step thinking:\n\n1. Let's denote the number of selfies taken last year as \\( x \\).\n... | [
false
] | [
"2160"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Let's denote the number of selfies taken last year as \\( x \\).\n2. According to the given ratio, the number of selfies taken this year would be \\( 17x \\) (since the ratio of this year to last year is 17).\n3. The total number of selfies is the sum of the selfies from both years... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"Rewritten Question:\n\nMalachi has the number of selfies he took last year and this year in the ratio of 10:17. He has a total of 2430 photos in his gallery. How many more photos did he take this year compared to last year?\n\nStep-by-step thinking:\n\n1. Let's denote the number of selfies taken last year as \\( x... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Let's denote the number of selfies taken last year as \\( x \\).\n2. According to the given ratio, the number of selfies taken this year would be \\( \\frac{17}{10}x \\).\n3. The total number of photos in the gallery is the sum of selfies from both years, which equals 2430.\n4. The... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi has a total of 2430 photos in his phone gallery. The ratio of the number of selfies he took last year to this year is 10:17. How many more photos did he take this year compared to last year?\n\nStep-by-step reasoning:\n\n1. Let's denote the number of selfies taken last year as \\( x ... | [
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"(2160)"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly identifies the problem and sets up the equations accurately. It calculates the total calories from the cookies and then finds out how many crackers are needed to make up the difference between the total calories consumed (500) and the calories from the coo... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi has the number of selfies he took last year and this year in the ratio of 10:17. He has a total of 2430 photos in his gallery. How many more photos did he take this year than last year?\n\nStep-by-step thinking:\n\n1. Let's denote the number of selfies taken last year as \\( x \\) an... | [
true
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"(630)"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly identifies the problem as finding out how many more selfies Malachi took this year compared to last year. It correctly sets up the equations based on the given ratio (10:17) and the total number of photos (2430).\n\nHowever, the model response simplifies t... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
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"temperature": 0.7,
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"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi's phone gallery contains the same total number of selfies from both last year and this year. The ratio of selfies taken last year to this year is 10:17. Given that he now has 2430 photos in his gallery, calculate how many more selfies he took this year compared to last year.\n\nStep-... | [
false
] | [
"(2160)"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Calculate the total calories from cookies:\n 7 cookies * 50 calories/cookie = 350 calories\n\n2. Subtract the calories from cookies from the total calories needed:\n 500 calories - 350 calories = 150 calories\n\n3. Divide the remaining calories by the calorie content per cracke... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year? | 630 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | The total ratio representing the number of photos in the Malachi gallery is 10+17=<<10+17=27>>27
The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7.
This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year.
#### 630 | math | numeric_equivalence | gsm8k | main | gsm8k_4380 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nMalachi's phone gallery contains a total of 2430 photos from his selfie collection. The ratio of the number of selfies taken last year to those taken this year is 10:17. How many more selfies did Malachi take this year compared to last year?\n\nStep-by-step thinking:\n\n1. Let \\( x \\) repr... | [
true
] | [
"630"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model rewrites the problem as follows:\n- Total photos: 2430\n- Ratio: 10:17\n\nIt correctly sets up the equation \\( x + \\frac{17}{10}x = 2430 \\), where \\( x \\) is the number of selfies taken last year.\n\nHowever, the model simplifies the equation incorrectly by combining \\... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"max_tokens": 4096,
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"temperature": 0.7,
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"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to set up an equation based on the information given:\n\n1. Let \\( H \\) represent Hiram's age.\n2. Let \\( A \\) represent Allyson's age.\n\nFrom the problem statement, we know two things:\n- When you take Hiram's age and add 12, you get 4 less than twice Allyson's age.\n- Hiram is... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. From the problem statement, we know that when you take Hiram's age (40) and add 12, you get 4 less than twice Allyson's age.\n - So, \\( 40 + 12 = 2A - 4 \\).\n\n2. We already know Hiram's age is 40, so substituting this value gives:\n \\[ 40 + 12 = 2A - 4 \\]\n \\[ 52 = 2A -... | [
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"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to set up an equation based on the information given:\n\n1. Let \\( H \\) represent Hiram's age.\n2. Let \\( A \\) represent Allyson's age.\n\nWe know from the problem statement that when you take Hiram's age (\\( H \\)) and add 12, it equals 4 less than twice Allyson's age (\\( 2A -... | [
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] | [
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{
"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 sets up an equation where Hiram's age (H) plus 12 equals twice Allyson's age minus 4. Given Hiram is 40, we substitute 40 for H in the equation:\n\n\\[ 40 + 12 = 2A - 4 \\]\n\nSimplifying the left side gives:\n\n\\[ 52 = 2A - 4 \\]\n\nAdding 4 to both sides:\n\n\\[ 56 = 2A \\]\... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"To find Allyson's age, we need to follow these steps:\n\n1. **Identify the given information:**\n - Hiram's age = 40 years.\n - When you add 12 to Hiram's age, it equals 4 less than twice Allyson's age.\n\n2. **Set up the equation based on the given relationship:**\n Let \\( A \\) represent Allyson's age.\n ... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model responds as follows:\n- It calculates the total calories from cookies: \\(7 \\times 50 = 350\\).\n- Then it subtracts this from the total calorie goal: \\(500 - 350 = 150\\).\n- Finally, it divides this by the calories per cracker: \\(150 / 15 = 10\\).\n\nHowever, the total ... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Step 1: Identify the given information.\n- Hiram's age = 40 years\n- The equation based on the problem statement is: \\( \\text{Hiram's age} + 12 = 2 \\times \\text{Allyson's age} - 4 \\)\n\nStep 2: Substitute Hiram's age into the equation.\n\\( 40 + 12 = 2 \\times \\text{Allyson's age} - 4 \\)\n\nStep 3: Simplify... | [
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] | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Identify the given information:** We are given that Hiram's age is 40 years.\n2. **Set up the equation based on the problem statement:** According to the problem, when you take Hiram's age and add 12, you get 4 less than twice Allyson's age. So, the equation is:\n \\[\n \\tex... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"```python\n# Given data\nhiram_age = 40\n\n# The relationship between Hiram's age and Allyson's age is given as:\n# hiram_age + 12 = (2 * allyson_age) - 4\n\n# Rearrange the equation to solve for allyson_age:\nallyson_age = (hiram_age + 12 + 4) / 2\n\nallyson_age\n```\n\n\n```python\n56.0\n```\n\nTherefore, the an... | [
false
] | [
"56"
] | python_prog | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly identifies the problem statement and translates it into an algebraic equation:\n\\[ \\text{Hiram's age} + 12 = 2 \\times \\text{Allyson's age} - 4 \\]\n\nGiven that Hiram is 40 years old, substitute \\( \\text{Hiram's age} \\) with 40:\n\\[ 40 + 12 = 2 \\times \\te... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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},
"model_name": "hosted_vllm/Qw... | [
"```python\n\n# Given data\nhiram_age = 40\n\n# The relationship between Hiram's age and Allyson's age can be expressed as:\n# hiram_age + 12 = 2 * allyson_age - 4\n\n# Rearrange the equation to solve for Allyson's age:\nallyson_age = (hiram_age + 12) + 4\n\nallyson_age\n```\n\n\n```python\n86\n```\n\n<answer>\n(86... | [
false
] | [
"(86)"
] | python_prog | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly sets up the equations based on the problem statement:\n\\[ \\text{Hiram's age} + 12 = 2 \\times \\text{Allyson's age} - 4 \\]\nGiven \\( \\text{Hiram's age} = 40 \\):\n\\[ 40 + 12 = 2 \\times \\text{Allyson's age} - 4 \\]\n\nRearranging the equation to solve for Al... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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},
"model_name": "hosted_vllm/Qw... | [
"```python\n# Given data\nhiram_age = 40\n\n# The equation based on the problem statement\nallyson_age = (hiram_age + 12) - 4\n\n# Calculate Allyson's age\nallyson_age\n```\n\n\n```python\n156\n```\n\nThe answer is `<answer>156</answer>`"
] | [
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] | [
"156"
] | python_prog | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly sets up the equations based on the problem statement. It calculates Hiram's age plus 12 as \\(40 + 12 = 52\\), and then finds two times Allyson's age minus 4 to be equal to 52. Solving these equations gives us Allyson's age directly without any intermediate steps m... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"```python\n\n```python\n# Given data\nhiram_age = 40 # Hiram's age\n\n# The relationship between Hiram's age and Allyson's age can be expressed as:\n# hiram_age + 12 = (2 * allyson_age) - 4\n\n# Rearranging the equation to solve for allyson_age:\nallyson_age = (hiram_age + 12 + 4) / 2\n\n# Calculating the result\... | [
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] | [
"86"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model breaks the question down into subparts. When calculating the total calories from cookies, it multiplies 7 by 50, resulting in 350 calories. However, it does not include the calories from the crackers in its calculation. Since the problem states that the total calorie intake ... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"chat_template_applied": true,
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},
"model_name": "hosted_vllm/Qw... | [
"### First, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\n- **Understand the given information:** \n - Hiram's age = 40 years\n - When you take Hiram's age and add 12, you get 4 less than twice Allyson's age.\n \n- **Translate the s... | [
true
] | [
"(28)"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response translates the problem into steps:\n1. Calculate the total calories from crackers: \\( 7 \\times 15 = 105 \\).\n2. Subtract this from the total calories needed (500): \\( 500 - 105 = 395 \\).\n\nHowever, the model incorrectly concludes the number of crackers needed ... | [
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false
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"",
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"chat_template_applied": true,
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"### Plan\n\n#### Step 1: Understand the Problem\nWe need to find Allyson's age given that adding 12 to Hiram's age equals 4 less than twice Allyson's age. We know Hiram's age is 40.\n\n#### Step 2: Formulate Equations\nLet \\( A \\) represent Allyson's age.\n- According to the problem, we have two key pieces of in... | [
true
] | [
"28"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Hiram's Age Calculation**: Hiram's age is 40.\n2. **Adding 12 to Hiram's Age**: \\( 40 + 12 = 52 \\).\n3. **Twice Allyson's Age**: Let \\( A \\) be Allyson's age. According to the problem, \\( 2A - 4 = 52 \\).\n\nNow let's solve for \\( A \\):\n\n\\[\n2A - 4 = 52 \\\\\n2A = 52 + ... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
"temperature": 0.7,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"First, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\nThe problem states that when you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. We know that Hiram is 40 years old. Let's start by setting up the equatio... | [
true
] | [
"(28)"
] | plan_and_execute | [
{
"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 sets up an equation correctly, where Hiram's age plus 12 equals twice Allyson's age minus 4. Given Hiram's age is 40, the equation becomes 40 + 12 = 2a - 4. Solving for a gives 52 = 2a - 4, leading to 2a = 56, and thus a = 28. However, the model incorrectly concludes that Allys... | [
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] | {
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"temperature": 0.7,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"### Plan\n\n#### Step 1: Understand the given information\n- **Hiram's Age**: 40 years old.\n- **Relationship between Hiram's age and Allyson's age**: When you add 12 to Hiram's age, it equals 4 less than twice Allyson's age.\n\n#### Step 2: Set up equations based on the relationship described\nLet \\( A \\) repre... | [
true
] | [
"28"
] | plan_and_execute | [
{
"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 sets up an equation where \\( H + 12 = 2A - 4 \\). Given \\( H = 40 \\), substitute \\( H \\) into the equation:\n\n\\[ 40 + 12 = 2A - 4 \\]\n\\[ 52 = 2A - 4 \\]\n\nNext, add 4 to both sides to isolate the term with \\( A \\):\n\n\\[ 56 = 2A \\]\n\nFinally, divide both sides by... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
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"model_name": "hosted_vllm/Qw... | [
"Alright, let's think about this creatively!\n\nFirstly, we know Hiram's age is 40. Now, according to the problem, when we take Hiram's age (which is 40) and add 12, it equals 4 less than twice Allyson's age.\n\nLet's break down what this means:\n- Adding 12 to Hiram's age gives us his current age plus the addition... | [
false
] | [
"112"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nAccording to the problem, when you take Hiram's age (40) and add 12, you get 4 less than twice Allyson's age. Let's set up the equation based on this information:\n\n\\[ 40 + 12 = 2A - 4 \\]\n\nSolving for \\( A \\):\n\n\\[ 52 = 2A - 4 \\]\n\\[ 52 + 4 = 2A \\]\n\\[ 56 = 2A \\]\n\\[ A ... | [
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"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively:\n\nFirst, let's consider what it means for \"when you take Hiram's age\" and \"you get 4 less than twice Allyson's age.\"\n\nIf we subtract 12 from Hiram's age (which is 40), we get:\n40 - 12 = 28\n\nNow, we know that this result (28) is equal to 4 less than twice Allyson's age.\n\n... | [
false
] | [
"16"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe problem states that when you take Hiram's age (40) and add 12, you get 4 less than twice Allyson's age. So, let's break it down:\n\n1. When you take Hiram's age (40) and add 12, you get \\( 40 + 12 = 52 \\).\n2. According to the problem, this equals 4 less than twice Allyson's age... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's approach this creatively:\n\n1. **Hiram's Age**: We know Hiram is 40 years old.\n2. **Adding 12 to Hiram's Age**: This gives us \\(40 + 12 = 52\\).\n3. **Twice Allyson's Age**: Let's call Allyson's age \\(A\\). According to the problem, when we add 12 to Hiram's age (which is 52), it equals 4 less than... | [
true
] | [
"(28)"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly identifies Hiram's age as 40. It then sets up the equation based on the relationship described in the problem. However, there seems to be an error in interpreting the equation:\n\n- Adding 12 to Hiram's age (40) gives 52.\n- Twice Allyson's age (let's denote her ag... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
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"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's approach this creatively!\n\n1. **Understand the relationship between Hiram's and Allyson's ages**:\n - We know that when you add 12 to Hiram's age (which is 40), it equals 4 less than twice Allyson's age.\n \n2. **Set up the equation**:\n Let \\( A \\) represent Allyson's age.\n According to t... | [
true
] | [
"28"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Hiram's Age Calculation**: When you add 12 to Hiram's age (which is 40), it equals 4 less than twice Allyson's age.\n \\[\n 40 + 12 = 52\n \\]\n So,\n \\[\n 52 = 2A - 4\n \\]\n\n2. **Solving for \\( A \\)**:\n Subtract 4 from both sides:\n \\[\n 52 + 4 = 2A\n ... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Alright, let's approach this creatively:\n\n1. We know Hiram's age is 40.\n2. According to the problem, when we add 12 to Hiram's age, it equals 4 less than twice Allyson's age.\n3. Let's denote Allyson's age as \\( A \\).\n\nNow, using our creative twist, let's try to interpret \"twice Allyson's age\" in a differ... | [
false
] | [
"16"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly identifies that Hiram's age plus 12 is equal to 4 less than twice Allyson's age. However, it incorrectly interprets \"twice Allyson's age\" as meaning she has two ticks added together instead of multiplying her age by 2. \n\nGiven Hiram's age is 40, the eq... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Alright, let's think about this creatively:\n\nFirst, we know that when you take Hiram's age (which is 40) and add 12, it equals 4 less than twice Allyson's age. Let's call Allyson's age \"A\".\n\nSo, the equation based on the information given would look like this:\n\\[ 40 + 12 = 2A - 4 \\]\n\nNow, let's simplify... | [
true
] | [
"28"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model starts correctly by setting up an equation based on the problem statement. However, there seems to be a mistake in simplifying the equation. Let's re-evaluate the steps carefully:\n\nGiven:\n- When you take Hiram's age (40) and add 12, it equals 4 less than twice Allyson's a... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively:\n\nImagine we have two boxes of toys - one for Hiram and one for Allyson. We know Hiram has more toys (age) than Allyson. \n\nNow, let's say each box can hold up to 50 toys (Hiram's age = 50). This gives us some space left over after counting all his toys.\n\nThe tricky part is figu... | [
false
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"58"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly sets up the problem as follows:\n- Hiram's age = 50 (since 50 * 2 = 100 and 100 - 4 = 96, and 96/2 = 48)\n- Then it calculates Allyson's age based on the information given.\n\nHowever, the final calculation is incorrect because it assumes that the number o... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"chat_template_applied": true,
"max_tokens": 4096,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Let's think about this creatively:\n\nIf we let \\( A \\) represent Allyson's age, and knowing Hiram's age (H) is 40, we can set up our equation based on the information given:\n\n\\[ H + 12 = 2A - 4 \\]\n\nWe know \\( H = 40 \\), so substituting it into our equation gives us:\n\n\\[ 40 + 12 = 2A - 4 \\]\n\\[ 52 =... | [
true
] | [
"28"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe problem states that when you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. We are given that Hiram is 40 years old. Let's denote Allyson's age as \\( A \\).\n\nAccording to the problem statement:\n\\[ 40 + 12 = 2A - 4 \\]\n\nSimplifying the left side:\... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
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"repetition_penalty": 1.1,
"temperature": 0.7,
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"top_p": 0.8
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem step by step:\n\n1. **Given Information**:\n - Hiram's age = 40 years\n\n2. **Relationship Between Their Ages**:\n - When you take Hiram's age (40) and add 12, you get 4 less than twice Allyson's age.\n\n3. **Setting Up the Equation**:\n Let \\( A \\) represent Allyson's ag... | [
true
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model sets up an equation based on the given relationships between their ages and solves it correctly. However, the solution provided is incomplete because it does not include the part where the difference between Hiram's age and the sum of his age plus 12 equals two times Allyson... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem step by step:\n\n1. Let \\( H \\) be Hiram's age.\n Given: \\( H = 40 \\)\n\n2. According to the problem, when you take Hiram's age and add 12, you get 4 less than twice Allyson's age.\n Mathematically, this can be written as:\n \\[ H + 12 = 2A - 4 \\]\n \n3. Substitute \... | [
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] | [
"28"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Hiram's age is 40.\n2. When you take Hiram's age and add 12, you get \\( 40 + 12 = 52 \\).\n3. Twice Allyson's age minus 4 is \\( 2A - 4 \\). We already found \\( 52 = 2A - 4 \\), so solving for \\( A \\) gives \\( A = 28 \\).\n\nEverything checks out! Therefore, the final answer i... | [
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Let's start by setting up the equation based on the information given:\n\n\\[ \\text{Hiram's age} + 12 = 2 \\times \\text{Allyson's age} - 4 \\]\n\nWe know Hiram's age is 40, so we substitute that into the equation:\n\n\\[ 40 + 12 = 2 \\times \\text{Allyson's age} - 4 \\]\n\nNow, let's simplify the left side of th... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model sets up an equation correctly based on the problem statement. However, when solving the equation, the model incorrectly assumes that the total calories from the crackers will be added directly to the calories from the cookies without considering the additional crackers neede... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Alright, let's break down the problem:\n\n1. **Hiram's Age**: We know Hiram is 40 years old.\n - Step 1: Add 12 to Hiram's age.\n \\[\n 40 + 12 = 52\n \\]\n\n2. **Allyson's Age**:\n - According to the problem, when you take Hiram's age (which we found to be 52) and then add 12, you get 4 less than ... | [
false
] | [
"34"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Hiram's age: 40\n2. Adding 12 to Hiram's age: 40 + 12 = 52\n\nAccording to the problem, when you take Hiram's age (52) and then add 12, you get 4 less than twice Allyson's age:\n\\[ 52 + 12 = 2A - 4 \\]\n\\[ 64 = 2A - 4 \\]\n\\[ 68 = 2A \\]\n\\[ A = 34 \\]\n\nSo, Allyson is 34 year... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's break down the problem:\n\n1. **Identify given information**:\n - Hiram's age = 40\n - We need to find Allyson's age.\n - The relationship between their ages is expressed as: \n \"When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age.\"\n\n2. **Translate the statement i... | [
true
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly identifies that the number of cookies eaten is 7 and calculates the total calories from cookies first: 7 * 50 = 350 calories. It then subtracts these calories from the total calorie goal of 500: 500 - 350 = 150 calories left. Next, it divides the remaining calories... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem:\n\n1. We know Hiram's age is 40.\n2. The equation given is: when you take Hiram's age (which we'll call \\(H\\)) and then add 12, you get 4 less than twice Allyson's age (\\(A\\)). So, \\(H + 12 = 2A - 4\\).\n3. Substituting Hiram's age into the equation, we have \\(40 + 12 = 2A... | [
false
] | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model starts by calculating the total calories from cookies: 7 x 50 = 350 calories. Then, it subtracts these calories from the total desired calories: 500 - 350 = 150 calories left. Finally, it divides the remaining calories by the calorie content of one cracker: 150 / 15 = 10 cra... | [
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false,
false
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"",
"",
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"chat_template_applied": true,
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"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Alternatively, let's solve this step-by-step:\n\n1. Let \\( h \\) represent Hiram's age.\n2. According to the problem, Hiram's age plus 12 equals 4 less than twice Allyson's age. We can write this as:\n \\[\n h + 12 = 2A - 4\n \\]\n3. We know that Hiram (H) is 40 years old. So we substitute \\( h \\) with 40... | [
true
] | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model responds by breaking down the problem into smaller parts and solving them step-by-step. It correctly calculates the total calories from cookies first (7 * 50 = 350). Then, it subtracts this amount from the total calorie goal (500 - 350 = 150). Finally, it divides this remain... | [
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false,
false
] | [
"",
"",
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"chat_template_applied": true,
"max_tokens": 4096,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's break it down step by step:\n\n1. **Identify the given information:**\n - Hiram's age = 40 years\n\n2. **Set up the equation based on the problem statement:**\n - According to the problem, \"When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age.\"\n -... | [
true
] | [
"28"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model sets up an equation based on the relationship between Hiram's and Allyson's ages, substituting Hiram's age correctly. However, when solving for Allyson's age, the model incorrectly multiplies 2A by 2 instead of dividing by 2. This results in the wrong solution. \n\nTherefore... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to set up an equation based on the information given:\n\n1. Let \\( H \\) be Hiram's age.\n2. Let \\( A \\) be Allyson's age.\n\nFrom the problem statement, we know:\n- Hiram's age (\\( H \\)) is 40 years old.\n- When you take Hiram's age (40) and add 12, it equals 4 less than twice ... | [
true
] | [
"28"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model sets up equations based on the relationships between Hiram's and Allyson's ages:\n\n1. \\( H + 12 = 2A - 4 \\)\n Given \\( H = 40 \\), substitute:\n \\( 40 + 12 = 2A - 4 \\)\n\n2. Simplify the equation:\n \\( 52 = 2A - 4 \\)\n\n3. Solve for \\( A \\):\n Add 4 to both... | [
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"",
"",
"",
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
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"Alternatively, let's solve this step by step:\n\n1. **Identify given information:**\n - Hiram's age = 40 years\n\n2. **Set up the equation based on the relationship described:**\n - According to the problem, \"When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age.\"\n Mathemati... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Identify given information:**\n - Hiram's age = 40 years\n - Let Allyson's age be \\( A \\)\n\n2. **Set up the equation based on the relationship described:**\n - According to the problem, \"When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age.... | [
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
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"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nLet's say Hiram's age is \\( x \\). According to the problem, when you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. Given that Hiram is 40 years old, we need to find out how old Allyson is.\n\nNow, let's break down the information given into equations:\n\n1. Let... | [
true
] | [
"28"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model starts by calculating the total calories from cookies:\n\\[ 7 \\times 50 = 350 \\]\n\nThen, it calculates the remaining calories needed after accounting for the cookies:\n\\[ 500 - 350 = 150 \\]\n\nFinally, it finds out how many crackers are needed to consume these remaining... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"Rewritten Question:\n\nIf adding 12 to Hiram's age equals 4 less than twice Allyson's age, and Hiram is 40 years old, find Allyson's age.\n\nStep-by-step reasoning:\n\n1. Let Hiram's age be represented by \\( H \\).\n Given: \\( H = 40 \\)\n\n2. According to the problem, when you add 12 to Hiram's age, it equals... | [
true
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"(28)"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Identifying Variables**: Hiram's age (H) = 40, let Allyson's age be A.\n2. **Formulating Equation**: According to the problem, when you add 12 to Hiram's age, it equals 4 less than twice Allyson's age. This translates to the equation:\n \\[\n H + 12 = 2A - 4\n \\]\n3. **Sub... | [
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When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nLet's say Hiram's age is represented by \\( H \\) and Allyson's age is represented by \\( A \\). According to the information given:\n\n1. When you take Hiram's age (\\(H\\)) and then add 12, you get 4 less than twice Allyson's age (\\(A\\)).\n2. We know that Hiram's age (\\(H\\)) is 40.\n\n... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly sets up the equations based on the problem statement. It correctly identifies Hiram's age as 40 and uses this value in the equations. However, there seems to be an error in the interpretation of the relationship between Hiram's age and Allyson's age. The m... | [
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"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
When you take Hiram's age and then add 12, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson? | 28 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If Hiram's age is 40, when you add 12, his age becomes 40+12=<<40+12=52>>52
If you add 4 from Hiram's age after adding twelve to his age, you get 52+4 = 56, which is twice Allyson's age.
Allyson's age is 56/2 = <<56/2=28>>28 years
#### 28 | math | numeric_equivalence | gsm8k | main | gsm8k_4900 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nLet \\( H \\) represent Hiram's age and \\( A \\) represent Allyson's age. According to the problem, when you take Hiram's age (\\( H \\)) and then add 12, you get 4 less than twice Allyson's age (\\( A \\)). Given that Hiram is 40 years old, write an equation based on these conditions and s... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly translates the problem into equations. It states:\n- Let \\( H \\) represent Hiram's age and \\( A \\) represent Allyson's age.\n- When you take Hiram's age (\\( H \\)) and then add 12, you get 4 less than twice Allyson's age (\\( A \\)).\n- Given that Hir... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
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In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
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"model_name": "hosted_vllm/Qw... | [
"To find the combined number of soldiers in beacon towers on the Great Wall, we need to follow these steps:\n\n1. Determine how many beacon towers there are.\n2. Calculate the total number of soldiers based on the number of towers.\n\nStep 1: Determine the number of beacon towers.\nSince the towers are placed at 5-... | [
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{
"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: To answer this question, we need to know how many soldiers are in each interval and then multiply by the number of intervals. There are 1460 intervals between the towers, and each interval has 2 soldiers. So, the total number of soldiers is 1460 * 2 = 2920. Therefore, the combined number... | [
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In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
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"model_name": "hosted_vllm/Qw... | [
"Step 1: Determine the number of beacon towers.\nThe Great Wall is 7300 kilometers long, and the towers are placed at 5-kilometer intervals. To find the number of intervals between the towers, we divide the total length of the wall by the interval distance:\n\n\\[ \\text{Number of intervals} = \\frac{\\text{Total l... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n- The model calculates the total calories from cookies: \\( 7 \\times 50 = 350 \\) calories.\n- It then subtracts these from the total calories needed: \\( 500 - 350 = 150 \\) calories.\n- Finally, it divides the remaining calories by the calories per cracker: \\( 150 \\div 15 = 10 \\... | [
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In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
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"model_name": "hosted_vllm/Qw... | [
"Step 1: Determine the total number of beacon towers.\nThe Great Wall is 7300 kilometers long, and beacon towers are placed at 5 kilometer intervals. To find the total number of towers, we divide the length of the wall by the interval between towers:\n\\[ \\text{Number of towers} = \\frac{\\text{Length of the wall}... | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. The number of beacon towers can be calculated as follows:\n \\[ \\text{Number of towers} = \\frac{7300}{5} = 1460 \\]\n\n2. Each tower has 2 soldiers, so the total number of soldiers is:\n \\[ \\text{Total number of soldiers} = 1460 \\times 2 = 2920 \\]\n\nTherefore, the combin... | [
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In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Step 1: Determine the number of beacon towers.\nThe Great Wall is 7300 kilometers long, and the towers are placed at 5-kilometer intervals. To find the total number of towers, we divide the total length of the wall by the interval between towers:\n\n\\[ \\text{Number of towers} = \\frac{\\text{Total length}}{\\tex... | [
true
] | [
"2920"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model first calculates the total calories from cookies: \\(7 \\times 50 = 350\\) calories. Then, it finds out how many more calories Jimmy needs to reach 500 calories: \\(500 - 350 = 150\\) calories. Finally, it determines how many crackers are needed to consume these additional 1... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"Step 1: Determine the number of beacon towers.\nThe Great Wall is 7300 kilometers long, and beacon towers are placed at 5-kilometer intervals. To find the number of beacon towers, we divide the total length of the wall by the interval between towers:\n\\[ \\text{Number of beacon towers} = \\frac{\\text{Total lengt... | [
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] | [
"2920"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Determine the number of beacon towers**: \n \\[ \\text{Number of beacon towers} = \\frac{\\text{Total length}}{\\text{Interval}} = \\frac{7300}{5} = 1460 \\]\n\n2. **Calculate the total number of soldiers**: \n Each beacon tower has 2 soldiers. Therefore, the total number o... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"model_name": "hosted_vllm/Qw... | [
"```python\n\n# Calculate total number of towers\ntotal_distance = 7300\ninterval_between_towers = 5\nnumber_of_towers = total_distance // interval_between_towers + 1\n\n# Each tower has 2 soldiers\nsoldiers_per_tower = 2\ncombined_soldiers = number_of_towers * soldiers_per_tower\n\nprint(combined_soldiers)\n\n\n``... | [
false
] | [
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Calculate total number of towers**:\n \\[ \\text{Total Number of Towers} = \\frac{\\text{Total Distance}}{\\text{Interval Between Towers}} + 1 \\]\n For our specific case:\n \\[ \\text{Total Number of Towers} = \\frac{7300}{5} + 1 = 1460 + 1 = 1461 \\]\n\n2. **Calculate com... | [
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"First, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\n1. The Great Wall is 7300 kilometers long.\n2. Soldiers were positioned at 5-kilometer intervals.\n3. Each tower has 2 soldiers.\n4. To find the total number of soldiers, we need to... | [
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{
"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 calculates the total number of soldiers based on the steps provided. It divided the total length of the wall by the interval between each tower (1460) and then multiplied it by 2 (2920). However, the model missed adding the additional soldiers needed due to the presen... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"First, I'll try to understand the problem better by writing out a plan and going really deep into detail about how I should solve this.\n1. The problem states that the Great Wall is 7300 kilometers long and soldiers are placed at 5-kilometer intervals.\n2. To find the total number of soldiers, we need to determine... | [
true
] | [
"2920"
] | plan_and_execute | [
{
"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 calculates the total number of soldiers based on the intervals and the number of soldiers per interval. It multiplies the number of intervals (1460) by 2 to get the total number of soldiers (2920). However, the model does not include the initial count of soldiers in t... | [
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"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"**High Level Plan**\n\n1. **Understand the Problem**: The problem involves calculating the total number of soldiers stationed in beacon towers along the Great Wall.\n2. **Break Down the Information Provided**:\n - The distance between each beacon tower is 5 kilometers.\n - The total length of the Great Wall is... | [
true
] | [
"2920"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model calculates the total number of soldiers as follows:\n\n1. Calculate the number of beacon towers:\n \\[\n \\text{Number of beacon towers} = \\frac{7300}{5} = 1460\n \\]\n \n2. Calculate the total number of soldiers:\n \\[\n \\text{Total number of soldiers} = 1460 ... | [
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"max_tokens": 1024,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"First, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\n1. Understand the given information: The Great Wall is 7300 kilometers long, and there are beacon towers placed at 5-kilometer intervals.\n2. Calculate the total number of beacon to... | [
true
] | [
"2920"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly calculates the total calories from the cookies first (7 x 50 = 350). Then it subtracts this from the total calorie goal (500 - 350 = 150), which is correct. However, the next step where it divides 150 by 15 (which seems to be the average calories per cracker) resul... | [
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"**High-Level Plan**\n1. **Understand the given information**: The Great Wall is 7300 kilometers long, with beacon towers placed at 5-kilometer intervals.\n2. **Calculate the total number of beacon towers**: Divide the total length of the Great Wall by the interval between towers to find the number of intervals plu... | [
false
] | [
"2922"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. The number of cookies eaten is 7.\n2. The calories from cookies is \\(7 \\times 50 = 350\\) calories.\n3. The total calories consumed so far is \\(350\\) calories.\n4. The required total calories to reach 500 calories is \\(500 - 350 = 150\\) calories.\n5. The number of crackers ne... | [
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"**High Level Plan**\n\n1. **Understand the Problem:** The problem states that the Great Wall is 7300 kilometers long and there are beacon towers placed at 5-kilometer intervals. Each tower has two soldiers. We need to find the total number of soldiers in all the beacon towers.\n \n2. **Break Down the Solution:**... | [
false
] | [
"2922"
] | plan_and_execute | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model breaks the problem down correctly into steps. It calculates the total calories from cookies first (7 cookies * 50 calories/cookie = 350 calories), then subtracts this from the total calories needed (500 calories) to find out how many crackers are needed (500 - 350 = 150). Fi... | [
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"",
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] | {
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"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's approach this problem from a different angle than the traditional method. Instead of focusing on the distance between the towers or the total number of soldiers per tower, let’s consider how many towers there are in total.\n\n1. **Identify the pattern**: The towers are placed at 5-kilometer intervals.\n2. **... | [
false
] | [
"2922"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total number of soldiers as follows:\n1. It determines the number of gaps between the towers: \\( \\frac{7300 \\text{ km}}{5 \\text{ km}} = 1460 \\) gaps.\n2. Since each gap corresponds to one tower, there are 1461 towers.\n3. Each tower has 2 soldier... | [
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false,
false
] | [
"",
"",
"",
""
] | {
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"max_tokens": 1024,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To tackle this intriguing challenge, let's start from the beginning:\n\n1. **Understanding the setup**: The Great Wall is 7300 kilometers long, and there are beacon towers placed at 5-kilometer intervals.\n2. **Calculating the total number of intervals**: To find out how many such intervals exist, we divide the to... | [
false
] | [
"2922"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model calculates the total calories from the cookies and then determines how many crackers are needed to reach 500 calories. It correctly finds 7 x 50 = 350 calories from the cookies. Then, it subtracts these calories from 500 to get 150 calories left. Finally, it divides 150 by 1... | [
false,
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false,
false
] | [
"",
"",
"",
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] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively!\n\n1. **Understanding the interval**: Each beacon tower is placed at a distance of 5 kilometers from the next one.\n2. **Total length of the Great Wall**: The Great Wall is 7300 kilometers long.\n3. **Calculating the number of intervals**:\n - To find how many such 5-kilometer seg... | [
false
] | [
"(1461)"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Calculating the number of beacon towers**:\n - There are 1460 intervals between the beacon towers.\n - Including the start and end points, there are 1461 beacon towers.\n\n2. **Calculating the number of soldiers per tower**:\n - Each tower has 2 soldiers.\n\n3. **Calculatin... | [
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false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"The Great Wall of China stretches for 7300 kilometers, and there are beacon towers placed at 5-kilometer intervals. This means we need to calculate how many such intervals fit into the total length of the wall.\n\nFirst, let's consider a simpler scenario where we have fewer intervals to make things easier:\n\nIf t... | [
true
] | [
"2920"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly calculates the total calories from the cookies:\n\\[ 7 \\text{ cookies} \\times 50 \\text{ calories/cookie} = 350 \\text{ calories} \\]\n\nThen, it subtracts these calories from the total desired intake:\n\\[ 500 \\text{ calories} - 350 \\text{ calories} = 150 \\te... | [
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"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's think about this problem in a unique way!\n\n1. **Understanding the interval and the total length**:\n - Beacon towers are placed at 5-kilometer intervals.\n - The entire Great Wall is 7300 kilometers long.\n\n2. **Calculating the number of intervals**:\n - To find out how many such intervals there are... | [
false
] | [
"2922"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total calories Jimmy consumes from both crackers and cookies correctly. It multiplies the number of cookies by their calorie content and subtracts that from the total calorie goal. However, it incorrectly assumes that all the remaining calories must b... | [
false,
false,
false,
false
] | [
"",
"",
"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
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"chat_template_applied": true,
"max_tokens": 1024,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's take a unique perspective: imagine each soldier standing guard for just one kilometer instead of five. This means we're counting soldiers per kilometer rather than the total count across the entire wall.\n\n1. First, let’s calculate how many kilometers there are between the first and last beacon towers.\n ... | [
true
] | [
"2920"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly calculates the total calories from the cookies:\n\\[ 7 \\times 50 = 350 \\text{ calories} \\]\n\nNext, it finds out how many crackers are needed to reach a total of 500 calories:\n\\[ 500 - 350 = 150 \\text{ calories} \\]\n\nFinally, it determines how many crackers... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's think about this problem in a very unique way:\n\nImagine we're standing at one of those beacon towers. We can see all the way down the Great Wall towards the other side. \n\nNow, let's say there's a soldier right next to us. To communicate with them, we need to have another soldier directly opposite them. S... | [
true
] | [
"2920"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model calculates the total calories from cookies first, which is correct. It multiplies 7 cookies by 50 calories per cookie to get 350 calories. However, it then mistakenly adds this to the total instead of subtracting it from the required 500 calories. The correct approach would ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's approach this creatively:\n\n1. **Divide the total length of the Great Wall into smaller segments**:\n - Each segment between beacon towers is 5 kilometers.\n - Total length = 7300 kilometers.\n - Number of segments = \\( \\frac{7300}{5} = 1460 \\) segments.\n\n2. **Consider each segment as a potential... | [
true
] | [
"2920"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response correctly calculates the total number of soldiers based on the given information. It divided the total length of the Great Wall into segments of 5 kilometers each, considering each segment as a potential tower location. Then, it multiplied the number of segments by ... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's break down the problem step by step:\n\n1. **Distance between beacon towers**: The Great Wall has 5 kilometer intervals.\n2. **Total length of the Great Wall**: The entire wall measures 7300 kilometers.\n3. **Number of intervals**: To find the total number of intervals (and therefore the number of towers), w... | [
true
] | [
"2920"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Calculate the total calories from crackers:\n \\( 7 \\text{ cookies} \\times 50 \\text{ calories/cookie} = 350 \\text{ calories} \\)\n\n2. Subtract the calories from crackers from the total calories needed:\n \\( 500 \\text{ calories} - 350 \\text{ calories} = 150 \\text{ calor... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
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"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
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"generation_params": {
"chat_template_applied": true,
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},
"model_name": "hosted_vllm/Qw... | [
"First, let's calculate how many beacon towers there are on the Great Wall.\nThe total length of the Great Wall is 7300 kilometers. The towers are placed at 5 kilometer intervals.\n\\[ \\text{Number of towers} = \\frac{\\text{Total distance}}{\\text{Tower interval}} \\]\n\\[ \\text{Number of towers} = \\frac{7300}{... | [
true
] | [
"2920"
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{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total calories from the cookies first:\n\\[ 7 \\times 50 = 350 \\]\n\nThen it subtracts this from the total calories needed:\n\\[ 500 - 350 = 150 \\]\n\nFinally, it divides this by the calories per cracker:\n\\[ 150 \\div 15 = 10 \\]\n\nThis matches t... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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},
"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem:\n\n1. **Identify the key information**: \n - The Great Wall is 7300 kilometers long.\n - Beacon towers are placed at 5-kilometer intervals.\n - Each tower has 2 soldiers.\n\n2. **Calculate the number of towers**:\n - To find the total number of towers, divide the total l... | [
false
] | [
"2922"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model response calculates the total calories from cookies first, then subtracts this from the total calories needed to reach 500 calories. It then divides the remaining calories by the calories per cracker to find out how many crackers Jimmy needs to eat.\n\nHowever, the model mis... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
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"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Okay, let's break down the problem:\n\n1. The Great Wall is 7300 kilometers long.\n2. The soldiers are placed at 5-kilometer intervals.\n3. This means there will be one soldier at each starting point (0 km), followed by another soldier at every 5 km interval until we reach the end of the wall.\n\nLet's calculate h... | [
false
] | [
"2922"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly calculates the calories from the cookies first:\n\\[ 7 \\times 50 = 350 \\]\n\nThen it subtracts this amount from the total calories needed:\n\\[ 500 - 350 = 150 \\]\n\nFinally, it divides this difference by the calories per cracker:\n\\[ 150 \\div 15 = 10 \\]\n\nH... | [
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"api_url": "http://127.0.0.1:55757",
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"temperature": 0.7,
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"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's break down the problem step by step:\n\n1. **Determine the number of beacon towers**:\n - The Great Wall is 7300 kilometers long.\n - The towers are placed at 5-kilometer intervals.\n - To find the number of towers, we divide the total length by the interval distance:\n \\[\n \\frac{7300}{5} = ... | [
false
] | [
"2922"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Calculate the total calories from cookies:\n \\( 7 \\times 50 = 350 \\) calories\n\n2. Subtract the calories from cookies from the total desired calories:\n \\( 500 - 350 = 150 \\) calories left\n\n3. Divide the remaining calories by the calories per cracker (assuming each crac... | [
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false
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"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"First, let's determine how many beacon towers there are along the Great Wall.\nThe total length of the Great Wall is 7300 kilometers, and each tower is placed at 5-kilometer intervals. To find the number of intervals between these towers, we divide the total length by the interval distance:\n\n\\[ \\text{Number of... | [
false
] | [
"(2922)"
] | backtrack | [
{
"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 calculates the total number of soldiers correctly by multiplying the number of intervals by the number of soldiers per interval. It then sums up all the soldiers' counts, including those who work in both directions along the Great Wall. However, the verification process reveals... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's break it down step by step:\n\n1. **Determine the number of beacon towers**:\n - The Great Wall is 7300 kilometers long.\n - Soldiers are positioned at 5-kilometer intervals.\n - To find the number of towers, divide the total length of the wall by the interval distance:\n \\[... | [
true
] | [
"(2920)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Determine the number of beacon towers:\n - Total length of the wall: 7300 km\n - Interval distance: 5 km\n \\[\n \\text{Number of towers} = \\frac{7300 \\text{ km}}{5 \\text{ km}} = 1460\n \\]\n\n2. Calculate the total number of soldiers:\n - Each tower has 2 soldiers\n... | [
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"",
"",
"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"chat_template_applied": true,
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"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many beacon towers there are along the Great Wall and then calculate the total number of soldiers based on that information.\n\n**Step 1:** Determine the number of beacon towers.\nThe Great Wall is 7300 kilometers long, and beacon towers are placed at 5-kilometer int... | [
true
] | [
"2920"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Determine the number of beacon towers:\n \\[ \\text{Number of towers} = \\frac{7300 \\text{ km}}{5 \\text{ km}} = 1460 \\]\n\n2. Calculate the total number of soldiers:\n \\[ \\text{Total number of soldiers} = 1460 \\times 2 = 2920 \\]\n\nTherefore, the combined number of soldi... | [
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false
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"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's break it down into steps:\n\n1. **Determine the number of beacon towers:**\n - The Great Wall is 7300 kilometers long.\n - Soldiers are placed at 5-kilometer intervals.\n - To find the total number of intervals (and thus towers), we divide the total length by the interval distanc... | [
true
] | [
"2920"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model calculates the total calories consumed as follows:\n1. Calculate the calories from cookies: \\( 7 \\times 50 = 350 \\)\n2. Subtract these calories from the total desired: \\( 500 - 350 = 150 \\)\n3. Divide the remaining calories by the calories per cracker: \\( 150 \\div 15 ... | [
false,
false,
false,
false
] | [
"",
"",
"",
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] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many beacon towers there are along the Great Wall and then calculate the total number of soldiers based on that information.\n\nStep 1: Calculate the number of beacon towers.\nThe distance between each tower is 5 kilometers, and the total length of the Great Wall is ... | [
true
] | [
"2920"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Calculate the number of beacon towers:**\n \\[\n \\text{Number of towers} = \\frac{7300 \\text{ km}}{5 \\text{ km/tower}} = 1460 \\text{ towers}\n \\]\n\n2. **Determine the number of soldiers per tower:**\n Each tower has 2 soldiers.\n\n3. **Calculate the total number of ... | [
false,
false,
false,
false
] | [
"",
"",
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""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's break it down into steps:\n\n1. **Determine the number of beacon towers:**\n - The Great Wall is 7300 kilometers long.\n - The towers are placed at 5 kilometer intervals.\n - To find the number of intervals (and thus the number of towers), we divide the total length of the wall b... | [
false
] | [
"2922"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nThe model correctly calculates the total number of soldiers based on the given information. It starts by determining the number of intervals between the towers, which results in 1461 intervals. Each interval corresponds to one tower plus an extra soldier at the starting point. Therefo... | [
false,
false,
false,
false
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"",
"",
"",
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] | {
"api_url": "http://127.0.0.1:55757",
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"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to determine how many beacon towers there are along the Great Wall and then calculate the total number of soldiers stationed there.\n\n1. **Determine the number of beacon towers:**\n - The Great Wall is 7300 kilometers long.\n - The towers are placed at 5-kilometer intervals.\n ... | [
false
] | [
"2924"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Determine the number of beacon towers:\n - The Great Wall is 7300 kilometers long.\n - The towers are placed at 5-kilometer intervals.\n - Number of intervals = Total length / Interval distance = 7300 / 5 = 1460\n\n2. Calculate the total number of soldiers:\n - Each tower h... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nThe Great Wall of China stretches for 7300 kilometers. Soldiers stationed at 5-kilometer intervals sent smoke signals to alert of potential threats. Each tower housed two soldiers. How many total soldiers patrolled the entire Great Wall?\n\nStep-by-step reasoning:\n\n1. Determine how many in... | [
true
] | [
"2920"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Determine how many intervals there are between the endpoints of the Great Wall.\n - No explicit endpoints mentioned, so we assume it starts at Point A and ends at Point B.\n - There will be \\( \\frac{7300}{5} = 1460 \\) intervals or segments between these points.\n\n2. Calcula... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | 2920 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.
If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.
#### 2920 | math | numeric_equivalence | gsm8k | main | gsm8k_7402 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Rewritten Question:\n\nThe Great Wall of China is 7300 kilometers long. Soldiers placed in beacon towers at 5-kilometer intervals sent smoke signals to alert of any potential threats. Each beacon tower had two soldiers. How many soldiers were there in total across all beacon towers? \n\nStep-by-step reasoning:\n\n... | [
true
] | [
"2920"
] | rephrase | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Determine the number of beacon towers.\n - The Great Wall is 7300 kilometers long.\n - The towers are placed at 5-kilometer intervals.\n - Number of intervals between towers = Total length / Interval distance = 7300 km / 5 km = 1460 intervals.\n - Each interval has one beac... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Four days ago, Carlos bought a bag of gummy worms. Every day he ate half of the remaining gummy worms. After eating half of the remainder on the fourth day, he now has 4 gummy worms left. How many gummy worms were in the bag when Carlos bought it? | 64 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | Let G be the number of gummy worms in the bag when Carlos bought it.
On the first day, he ate half the gummy worms, so he had G / 2 gummy worms.
On the second day, he ate half of the remaining gummy worms, so he had G / 2 / 2 = G / 4 gummy worms.
On the third day, he ate another half, so he had G / 4 / 2 = G / 8 gummy ... | math | numeric_equivalence | gsm8k | main | gsm8k_5855 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, let's work backwards from the information given:\n\n1. **After the fourth day**: Carlos has 4 gummy worms left.\n2. **Before the fourth day**: Since he ate half of the previous day's amount and was left with 4 gummy worms, before that, he had:\n \\[\n 4 \\times 2 = 8 \\text{ gummy worms}... | [
true
] | [
"64"
] | original | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Fourth Day Calculation**:\n - Let \\( G_4 \\) be the number of gummy worms after the fourth day.\n - Given \\( G_4 = 4 \\).\n - On the fourth day, he ate half of the remaining gummy worms.\n - Before eating, he had \\( 4 \\times 2 = 8 \\) gummy worms.\n\n2. **Third Day Ca... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Four days ago, Carlos bought a bag of gummy worms. Every day he ate half of the remaining gummy worms. After eating half of the remainder on the fourth day, he now has 4 gummy worms left. How many gummy worms were in the bag when Carlos bought it? | 64 | gsm8k | gsm8k | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.",
"role": "system"
},
{
"content": "Answer the following problem. E... | Let G be the number of gummy worms in the bag when Carlos bought it.
On the first day, he ate half the gummy worms, so he had G / 2 gummy worms.
On the second day, he ate half of the remaining gummy worms, so he had G / 2 / 2 = G / 4 gummy worms.
On the third day, he ate another half, so he had G / 4 / 2 = G / 8 gummy ... | math | numeric_equivalence | gsm8k | main | gsm8k_5855 | boxed_number | elementary_math | arithmetic_word_problems | {
"api_url": "http://127.0.0.1:45035",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To determine how many gummy worms were originally in the bag, let's work backwards from the information given:\n\n1. **Fourth Day**: After eating half of the gummy worms on the fourth day, Carlos had 4 gummy worms left.\n - This means that before eating half, he had \\(2 \\times 4 = 8\\) gummy worms.\n\n2. **Thi... | [
true
] | [
"64"
] | original | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. **Fourth Day**: After eating half of the gummy worms on the fourth day, Carlos had 4 gummy worms left.\n - This means that before eating half, he had \\(2 \\times 4 = 8\\) gummy worms.\n\n2. **Third Day**: On the third day, he ate half of the remaining gummy worms.\n - So, befo... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:55757",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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