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Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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... | [
"Alright, let's approach this creatively:\n\n1. **Understanding the problem**: Samantha buys eggs for $5 and sells them at 20 cents each. We need to find out after how many sales she recovers her initial investment ($5).\n\n2. **Creative Insight**: Let's consider the eggs as units of currency instead of just physic... | [
true
] | [
"(5)"
] | 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. **Initial Investment Recovery Calculation**:\n - Samantha spent $5 initially.\n - She sells each egg for $0.20.\n - To recover $5, we calculate:\n \\[\n \\frac{5}{0.20} = 25 \\text{ sales}\n \\]\n\n2. **Total Number of Eggs Sold**:\n - Each sale involves one egg... | [
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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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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 think about this creatively:\n\n1. Samantha started with 30 eggs.\n2. She sold each egg for 20 cents.\n - This means she made 30 * 20 = $6 from selling all the eggs.\n\n3. Her initial cost was $5.\n4. After selling the eggs, she has recovered her capital ($6 - $5 = $1).\n\nNow, we need to figure out ... | [
false
] | [
"30 - 5 = 25"
] | 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. Samantha initially spent $5 on 30 eggs.\n2. Selling each egg for 20 cents would mean making 30 * 20 = $6.\n3. Since she made $6 and spent $5 initially, she has recovered her capital of $1.\n4. Now, we need to find out how many more eggs she needs to sell to recover her original cap... | [
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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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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... | [
"Okay, let's approach this creatively:\n\n1. **Understanding the Cost Structure**:\n - Samantha buys eggs for $5.\n - She sells each egg for 20 cents (or $0.20).\n\n2. **Initial Investment Analysis**:\n - To recover her initial investment ($5), she needs to make enough money from selling eggs to cover this co... | [
true
] | [
"5"
] | 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. **Calculate Total Revenue**: Each egg sold for $0.20, so for 30 eggs, the revenue would be \\(30 \\times 0.20 = \\$6\\).\n \n2. **Determine Number of Eggs Sold to Recover Capital**: To recover her initial investment of $5, she needs to sell \\( \\frac{5}{0.20} = 25 \\) eggs.\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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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 step by step:\n\n1. Samantha bought a crate of 30 eggs for $5.\n - This means each egg costs \\( \\frac{5}{30} = \\$\\frac{1}{6} \\) per egg.\n\n2. She plans to sell each egg for 20 cents (which is $0.20).\n\n3. To recover her initial investment of $5, we need to find out how m... | [
false
] | [
"0"
] | 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 cost of the cookies: \\( 7 \\times 50 = 350 \\) dollars.\n2. Subtract the cost of the cookies from the total calories needed: \\( 500 - 350 = 150 \\) calories.\n3. Divide the remaining calories by the calorie content of one cracker: \\( \\frac{150}{15} = 10 \\) ... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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... | [
"Okay, let's break down the problem step by step:\n\n1. **Total Cost**: Samantha spent $5 on a crate of 30 eggs.\n - Cost per egg = Total cost / Number of eggs\n - Cost per egg = $5 / 30 ≈ $0.167\n\n2. **Earnings per Egg**: She plans to sell each egg for 20 cents (or $0.20).\n\n3. **Profit per Egg**: Profit per... | [
false
] | [
"151"
] | 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 calculates the total calories from crackers and cookies as follows:\n- Calories from crackers = 7 cookies × 15 calories/cookie = 105 calories\n- Calories from cookies = 7 cookies × 50 calories/cookie = 350 calories\n- Total calories = 105 calories + 350 calories = 455 calori... | [
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"",
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"api_url": "http://127.0.0.1:55757",
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"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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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. **Initial Cost**: Samantha spent $5 to buy 30 eggs.\n2. **Price per Egg**: She plans to sell each egg for 20 cents (which is $0.20).\n\nFirst, we need to calculate how many eggs she can sell before recovering her initial investment of $5.\n\n- The total cost is $5.\... | [
true
] | [
"(5)"
] | 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 cost of cookies:\n \\[\n 7 \\times 50 = 350\n \\]\n\n2. Subtract the cost of cookies from the total calories needed:\n \\[\n 500 - 350 = 150\n \\]\n\n3. Divide the remaining calories by the calories per cracker:\n \\[\n \\frac{150}{15} = 10\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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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 start by calculating Samantha's initial profit per egg:\n\n1. **Initial Cost**: $5 for 30 eggs.\n - Profit per egg = (Price per egg) - (Cost per egg).\n - Profit per egg = ($0.20) - ($0.10) = $0.10\n\nNow let's calculate the total cost of 30 eggs initially:\n - Total cost = Number of eggs × Cost per eg... | [
false
] | [
"30"
] | 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 revenue from selling the eggs. It starts by determining the profit per egg as $0.10 ($0.20 - $0.10). It then calculates the total cost of 30 eggs, which is $3.00. Since she has already recovered her capital, she needs to sell additional eggs to make ... | [
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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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's break down the problem:\n\n1. **Initial Cost**: Samantha spent $5 on a crate of 30 eggs.\n - Each egg costs \\( \\frac{5}{30} = \\$\\frac{1}{6} \\) per egg initially.\n\n2. **Earnings per Egg**: She plans to sell each egg for 20 cents (or $0.20).\n\n3. **Total Earnings Needed to Recover Capital**: To recov... | [
false
] | [
"25"
] | 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 calculates the total calories from cookies first:\n\\[ 7 \\times 50 = 350 \\]\nThen, it subtracts these calories from the total calorie goal:\n\\[ 500 - 350 = 150 \\]\nFinally, it divides the remaining calories by the number of calories in one cracker:\n\\[ \\frac{150}{15} =... | [
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},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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. **Total Cost**: Samantha spent $5 on 30 eggs.\n - Total cost = $5\n\n2. **Price per Egg**: She plans to sell each egg for 20 cents (which is $0.20).\n\n3. **Number of Eggs Sold**: To recover her initial investment ($5), we need to calculate how many eggs she needs... | [
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 breaks the question down into subparts. 5 x 20 is 100. 5 x 10 is 50. 5 x 2 is 10. But then it only adds 100 + 50 and doesn't add the 10 to the final answer. Therefore this is likely incorrect since we want the absolute total.\n\nTherefore, the final answer is:\n<verdict>\nIn... | [
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"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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... | [
"Let's break down the problem:\n\n1. **Initial Investment**: Samantha spent $5 to buy 30 eggs.\n2. **Earnings per Egg**: Each egg sells for 20 cents (or $0.20).\n\nNow let's calculate how much money Samantha earns per egg:\n- Money earned per egg = $0.20\n\nNext, we need to determine how many eggs she needs to sell... | [
true
] | [
"5"
] | 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 responds to the question as follows:\n\n1. Calculate the total revenue from selling the eggs:\n - Number of eggs sold = 30\n - Price per egg = $0.20\n - Revenue from eggs = 30 * $0.20 = $6\n\n2. Determine how many eggs are needed to recover the initial investment:\n ... | [
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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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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 eggs Samantha needs to sell at 20 cents each to recover her initial investment of $5 (which is equivalent to 500 cents).\n\n**Step 1:** Calculate the total amount of money needed to recover the initial investment.\n- Initial investment = $5 = 500 cents\n\n**Step... | [
false
] | [
"(25)"
] | 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 from cookies first:\n\\[ 7 \\times 50 = 350 \\text{ calories} \\]\n\nThen it subtracts these from the total calories needed:\n\\[ 500 - 350 = 150 \\text{ calories} \\]\n\nFinally, it divides the remaining calories by the calories per cracker:\n\... | [
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"",
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"chat_template_applied": true,
"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
} |
Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales? | 5 | 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... | There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents
To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs
There were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left
#### 5 | math | numeric_equivalence | gsm8k | main | gsm8k_4612 | 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 Samantha's initial investment and her selling price per egg.\n\n1. **Initial Investment**: Samantha bought a crate of 30 eggs for $5.\n - Cost per egg = \\(\\frac{5}{30} = \\frac{1}{6}\\) dollars (or approximately 16.67 cents).\n\n2. **Egg Selling Price**: She plans t... | [
true
] | [
"(5)"
] | 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 calories from the cookies and subtracts it from the desired total calories. It then finds the difference between these two values to determine the number of crackers needed. However, the model incorrectly assumes that all crackers are consumed ... | [
false,
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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,
"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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