[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Every day, Sara bakes 10 cakes and puts them in his refrigerator. He does this for 5 days. Carol then comes over and eats 12 of his cakes. If it takes 2 cans of frosting to frost a single cake, how many cans of frosting does Bob need to frost the remaining cakes?

[Assistant]
<think>
After 5 days, Sara has baked 5 days * 10 cakes/day = <<5*10=50>>50 cakes.
After Carol's feast, there are 50 cakes - 12 cakes = <<50-12=38>>38 cakes remaining.
Sara needs 2 cans/cake * 38 cakes = <<2*38=76>>76 cans of frosting.
</think>

<answer>
76
</answer>

<think>
After 5 days, Sara has baked 5 days * 10 cakes/day = <<5*10=50>>50 cakes.
After Carol's feast, there are 50 cakes - 12 cakes = <<50-12=38>>38 cakes remaining.
Sara needs 2 cans/cake * 38 cakes = <<2*38=76>>76 cans of frosting.
</think>

<answer>
76
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] In Mary's class, there are 25 students. Their teacher told them they could pay $50 each to finance a big science project that they and their society would benefit greatly from. They all paid the full amount except for 4 students, who paid half. How much was the class able to gather together?

[Assistant]
<think>
The original amount is $50 so half is $50/2 = $<<50/2=25>>25
4 students paid half ($25) for a total of 4*$25 = $<<4*25=100>>100
There are 25-4 = <<25-4=21>>21 students left
21 students paid the full amount ($50) for a total of 21*$50 = $<<21*50=1050>>1050
They were able to gather a total of $100+$1050 = $<<100+1050=1150>>1150
</think>

<answer>
1150
</answer>

<think>
The original amount is $50 so half is $50/2 = $<<50/2=25>>25
4 students paid half ($25) for a total of 4*$25 = $<<4*25=100>>100
There are 25-4 = <<25-4=21>>21 students left
21 students paid the full amount ($50) for a total of 21*$50 = $<<21*50=1050>>1050
They were able to gather a total of $100+$1050 = $<<100+1050=1150>>1150
</think>

<answer>
1150
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Elise is buying more dog food. She buys a 15kg bag then another 10kg bag, and she now has 40kg of dog food. How many kilograms of dog food did Elise already have?

[Assistant]
<think>
Elise has bought a total of 15 kg + 10 kg = <<15+10=25>>25kg of dog food.
This means she already had 40 kg – 25 kg = <<40-25=15>>15kg of dog food.
</think>

<answer>
15
</answer>

<think>
Elise has bought a total of 15 kg + 10 kg = <<15+10=25>>25kg of dog food.
This means she already had 40 kg – 25 kg = <<40-25=15>>15kg of dog food.
</think>

<answer>
15
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] There are 18 green leaves on each of the 3 tea leaf plants. One-third of them turn yellow and fall off on each of the tea leaf plants.  How many green leaves are left on the tea leaf plants?

[Assistant]
<think>
In total, the 3 tea leaf plants have 18 x 3 = <<18*3=54>>54 green leaves.
One-third of the yellow leaves falling off of all plants is 54 / 3 = <<54/3=18>>18.
The number of remaining green leaves on the plants is 54 - 18 = <<54-18=36>>36.
</think>

<answer>
36
</answer>

<think>
In total, the 3 tea leaf plants have 18 x 3 = <<18*3=54>>54 green leaves.
One-third of the yellow leaves falling off of all plants is 54 / 3 = <<54/3=18>>18.
The number of remaining green leaves on the plants is 54 - 18 = <<54-18=36>>36.
</think>

<answer>
36
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] John received 20 gifts on his 12th birthday.  He received 8 fewer gifts on his 13th birthday.  How many total gifts did he receive between those two birthdays?

[Assistant]
<think>
He got 20-8=12 gifts on his 13th birthday
So he got 20+12=<<20+12=32>>32 total gifts
</think>

<answer>
32
</answer>

<think>
He got 20-8=12 gifts on his 13th birthday
So he got 20+12=<<20+12=32>>32 total gifts
</think>

<answer>
32
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Tom decides to renovate a house.  There are 3 bedrooms and each bedroom takes 4 hours to renovate.  The kitchen takes 50% longer than each bedroom.  The living room took twice as much time as everything else combined.  How long did everything take?

[Assistant]
<think>
The kitchen took 4 * .5 = <<4*.5=2>>2 hours longer than the bedrooms
So the kitchen took 4 + 2 = <<4+2=6>>6 hours
The bedrooms took 3 * 4 = <<3*4=12>>12 hours
So the kitchen and bedrooms combined took 12 + 6 = <<12+6=18>>18 hours
The living room took 18 * 2 = <<18*2=36>>36 hours
So everything took a total of 18 + 36 = <<18+36=54>>54 hours
</think>

<answer>
54
</answer>

<think>
The kitchen took 4 * .5 = <<4*.5=2>>2 hours longer than the bedrooms
So the kitchen took 4 + 2 = <<4+2=6>>6 hours
The bedrooms took 3 * 4 = <<3*4=12>>12 hours
So the kitchen and bedrooms combined took 12 + 6 = <<12+6=18>>18 hours
The living room took 18 * 2 = <<18*2=36>>36 hours
So everything took a total of 18 + 36 = <<18+36=54>>54 hours
</think>

<answer>
54
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes 5 cents of profit per package, how much profit per week do the two centers make combined?

[Assistant]
<think>
First find how many packages the second center processes per day: 10000 packages/day * 3 = <<10000*3=30000>>30000 packages/day
Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day
Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day
Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week
</think>

<answer>
14000
</answer>

<think>
First find how many packages the second center processes per day: 10000 packages/day * 3 = <<10000*3=30000>>30000 packages/day
Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day
Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day
Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week
</think>

<answer>
14000
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] In his company, Kenzo has 80 office chairs with five legs each and 20 round tables with three legs each. If after a month 40% of the chairs are damaged and have to be disposed of, calculate the total number of legs of furniture Kenzo has remaining in his company.

[Assistant]
<think>
The number of chairs that are disposed of after they're found to be damaged is 40/100*80 = <<40/100*80=32>>32.
The number of chairs in good condition in Kenzo's company is 80-32 = <<80-32=48>>48
The 48 chairs have 48*5 = <<48*5=240>>240 legs.
The round tables also have 20*3 = <<20*3=60>>60 legs.
In total, the furniture in Kenzo's company has 60+240 = <<60+240=300>>300 legs.
</think>

<answer>
300
</answer>

<think>
The number of chairs that are disposed of after they're found to be damaged is 40/100*80 = <<40/100*80=32>>32.
The number of chairs in good condition in Kenzo's company is 80-32 = <<80-32=48>>48
The 48 chairs have 48*5 = <<48*5=240>>240 legs.
The round tables also have 20*3 = <<20*3=60>>60 legs.
In total, the furniture in Kenzo's company has 60+240 = <<60+240=300>>300 legs.
</think>

<answer>
300
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Randy had $3,000. Smith gave him another $200. Randy then gave Sally $1,200 and kept the rest. What was the value, in dollars, of the rest?

[Assistant]
<think>
After Smith gave him $200, Randy had 3000+200=<<3000+200=3200>>3200 dollars.
The value of the rest of the money is 3200-1200=<<3200-1200=2000>>2000 dollars.
</think>

<answer>
2000
</answer>

<think>
After Smith gave him $200, Randy had 3000+200=<<3000+200=3200>>3200 dollars.
The value of the rest of the money is 3200-1200=<<3200-1200=2000>>2000 dollars.
</think>

<answer>
2000
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Arlene hiked 24 miles on Saturday, carrying a 60-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour?

[Assistant]
<think>
She hiked 24 miles.
She spent 6 hours hiking.
Her average pace was 24/6=<<24/6=4>>4 mph.
</think>

<answer>
4
</answer>

<think>
She hiked 24 miles.
She spent 6 hours hiking.
Her average pace was 24/6=<<24/6=4>>4 mph.
</think>

<answer>
4
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] James paves a new parking lot.  It is 400 feet by 500 feet.  Only 80% of that is useable for parking.  It takes 10 square feet to park a car.  How many cars can be parked?

[Assistant]
<think>
The parking lot is 400*500=<<400*500=200000>>200,000
There are 200,000*.8=<<200000*.8=160000>>160,000 square feet of parking space
That means he can park 16,0000/10=16000 cars
</think>

<answer>
16000
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Emma buys 2 containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in 3 weeks?

[Assistant]
<think>
There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week
Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers
</think>

<answer>
30
</answer>

<think>
There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week
Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers
</think>

<answer>
30
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] If 24 out of every 60 individuals like football and out of those that like it, 50% play it, how many people would you expect play football out of a group of 250?

[Assistant]
<think>
If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24*50% = 12 out of 60 individuals play it
If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it
If 20% of individuals play football out of a group of 250 people, one would expect 250*20% = <<250*20*.01=50>>50 individuals to play it
</think>

<answer>
50
</answer>

<think>
If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24*50% = 12 out of 60 individuals play it
If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it
If 20% of individuals play football out of a group of 250 people, one would expect 250*20% = <<250*20*.01=50>>50 individuals to play it
</think>

<answer>
50
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Jacob has half the number of shoes Edward has. Edward has 3 times the number of shoes Brian has. If Brian has 22 pairs of shoes, how many pairs of shoes do they have in total?

[Assistant]
<think>
Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes.
Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes.
All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total.
</think>

<answer>
121
</answer>

<think>
Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes.
Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes.
All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total.
</think>

<answer>
121
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Roberto recently received a 20% raise from his previous salary, which was already 40% higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary?

[Assistant]
<think>
Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000*140*.01=112000>>112,000
On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000*120*.01=134400>>134,400
</think>

<answer>
134400
</answer>

<think>
Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000*140*.01=112000>>112,000
On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000*120*.01=134400>>134,400
</think>

<answer>
134400
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Andy harvests all the tomatoes from 18 plants that have 7 tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left?

[Assistant]
<think>
First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes
Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes
Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes
Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes
</think>

<answer>
42
</answer>

<think>
First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes
Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes
Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes
Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes
</think>

<answer>
42
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $200 Walmart gift cards. After sending the codes for 1 Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return?

[Assistant]
<think>
First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards
Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5*500=2500>>2500
Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards
Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200/card = $<<7*200=1400>>1400
Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900
</think>

<answer>
3900
</answer>

<think>
First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards
Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5*500=2500>>2500
Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards
Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200/card = $<<7*200=1400>>1400
Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900
</think>

<answer>
3900
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?

[Assistant]
<think>
Let x be Luna's house rental budget.
The total budget for house and food rental is represented by the equation x + (60x/100) = 240.
The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction.
By combining like terms, the equation becomes 160x = 24000.
Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget.
So, Luna's food budget is $240 - $150 = $<<240-150=90>>90.
Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9.
Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249.
</think>

<answer>
249
</answer>

<think>
Let x be Luna's house rental budget.
The total budget for house and food rental is represented by the equation x + (60x/100) = 240.
The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction.
By combining like terms, the equation becomes 160x = 24000.
Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget.
So, Luna's food budget is $240 - $150 = $<<240-150=90>>90.
Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9.
Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249.
</think>

<answer>
249
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] The student council sells scented erasers in the morning before school starts to help raise money for school dances. The local bookstore donated 48 boxes of erasers. There are 24 erasers in each box. If the student council sells the erasers for $0.75 each, how much money will they make?

[Assistant]
<think>
There are 48 boxes x 24 erasers = <<48*24=1152>>1,152 erasers.
The student council will make 1,152 erasers x $0.75 = $<<1152*0.75=864>>864.
</think>

<answer>
864
</answer>

<think>
There are 48 boxes x 24 erasers = <<48*24=1152>>1,152 erasers.
The student council will make 1,152 erasers x $0.75 = $<<1152*0.75=864>>864.
</think>

<answer>
864
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Betty is 60 years old, and she is the oldest person in the family. Her daughter is 40 percent younger than she is, and her granddaughter is one-third her mother's age. How old is the granddaughter?

[Assistant]
<think>
Betty's daughter is 40/100 * 60 = <<40/100*60=24>>24 years younger than she is.
That means her daughter is 60 - 24 = <<60-24=36>>36 years old.
So the granddaughter is 1/3 * 36 = <<1/3*36=12>>12 years old.
</think>

<answer>
12
</answer>

<think>
Betty's daughter is 40/100 * 60 = <<40/100*60=24>>24 years younger than she is.
That means her daughter is 60 - 24 = <<60-24=36>>36 years old.
So the granddaughter is 1/3 * 36 = <<1/3*36=12>>12 years old.
</think>

<answer>
12
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Joy fosters dogs.  The mom foster dog eats 1.5 cups of food, three times a day.  The puppies each eat 1/2 cup of food, twice a day.  There are 5 puppies.  How much food will Joy need for the next 6 days?

[Assistant]
<think>
The mom dog eats 1.5 cups of food * 3 = <<1.5*3=4.5>>4.5 cups per day.
For 6 days the mom dog will need 6 * 4.5 cups = <<6*4.5=27>>27 cups of food.
The puppies eat 1/2 cup of food * 2 = <<1/2*2=1>>1 cup per day.
There are 5 puppies * 1 cup = <<5*1=5>>5 cups per day for the puppies.
For the 6 days, the puppies will need 5 cups * 6 = <<5*6=30>>30 cups of food.
Combined the dogs will need 27 cups + 30 cups = <<27+30=57>>57 cups.
</think>

<answer>
57
</answer>

<think>
The mom dog eats 1.5 cups of food * 3 = <<1.5*3=4.5>>4.5 cups per day.
For 6 days the mom dog will need 6 * 4.5 cups = <<6*4.5=27>>27 cups of food.
The puppies eat 1/2 cup of food * 2 = <<1/2*2=1>>1 cup per day.
There are 5 puppies * 1 cup = <<5*1=5>>5 cups per day for the puppies.
For the 6 days, the puppies will need 5 cups * 6 = <<5*6=30>>30 cups of food.
Combined the dogs will need 27 cups + 30 cups = <<27+30=57>>57 cups.
</think>

<answer>
57
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] There are 84 people waiting in line to ride a roller coaster at an amusement park.  The roller coaster has 7 cars, and each car seats 2 people.  How many times will the ride operator have to run the roller coaster to give everyone in line a turn?

[Assistant]
<think>
Each run will hold 7 * 2 = <<7*2=14>>14 people.
The ride will have to run 84 / 14 = <<84/14=6>>6 times.
</think>

<answer>
6
</answer>

<think>
Each run will hold 7 * 2 = <<7*2=14>>14 people.
The ride will have to run 84 / 14 = <<84/14=6>>6 times.
</think>

<answer>
6
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Rodney has 35 dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has 100 dollars, how much more money does Jessica have than Rodney?

[Assistant]
<think>
Ian has 100/2 = <<100/2=50>>50 dollars.
Rodney has 50+35 = <<50+35=85>>85 dollars.
Jessica has 100-85 = <<100-85=15>>15 more dollars than Rodney.
</think>

<answer>
15
</answer>

<think>
Ian has 100/2 = <<100/2=50>>50 dollars.
Rodney has 50+35 = <<50+35=85>>85 dollars.
Jessica has 100-85 = <<100-85=15>>15 more dollars than Rodney.
</think>

<answer>
15
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles.  Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?

[Assistant]
<think>
Let x represent the number of miles Kati drives
Michelle:3x
Tracy:20+2(3x)=20+6x
Total:x+3x+20+6x=1000
10x+20=1000
10x=980
x=<<98=98>>98 miles
3(98)=<<3*98=294>>294 miles
</think>

<answer>
294
</answer>

<think>
Let x represent the number of miles Kati drives
Michelle:3x
Tracy:20+2(3x)=20+6x
Total:x+3x+20+6x=1000
10x+20=1000
10x=980
x=<<98=98>>98 miles
3(98)=<<3*98=294>>294 miles
</think>

<answer>
294
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Dale owns 4 sports cars. The red one can travel at twice the speed of the green one, but the green one can travel at 8 times the speed of the blue one.  The yellow one is broken and cannot move at all.  If the blue one can travel at a speed of 80 miles per hour, at what speed, in miles per hour, can the red car travel?

[Assistant]
<think>
If the blue car can travel at 80 mph, then the green one can travel at 8*80=<<8*80=640>>640 mph
If the green car can travel at 640 mph, then the red can travel at 2*640=1280 mph
</think>

<answer>
1280
</answer>

<think>
If the blue car can travel at 80 mph, then the green one can travel at 8*80=<<8*80=640>>640 mph
If the green car can travel at 640 mph, then the red can travel at 2*640=1280 mph
</think>

<answer>
1280
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Lilith originally had five dozen water bottles that she needed to sell at $2 each to get exactly enough money to buy her friend a birthday gift. However, at the store, Lilith realized she could not sell at $2 because the regular price was $1.85 per water bottle in her town, and she had to reduce her price to $1.85 as well to sell her water bottles. Calculate the total amount of money Lilith will have to find to buy her friend the birthday gift after selling her water bottles at the reduced cost.

[Assistant]
<think>
Lilith had 5 dozen water bottles, and since a dozen has 12 water bottles, the total number of water bottles she had was 12 bottles/dozen * 5 dozen = <<12*5=60>>60 bottles
To buy her friend the birthday gift, Lilith originally had to sell her water bottles for a total of 60 bottles * $2/bottle = $<<60*2=120>>120
When she reduced the price to $1.85 to meet the regular price, the total amount of money she had from the sales was $1.85/bottle * 60 bottles = $111
To buy her friend the birthday gift, Lilith has to find $120 - $111 = $<<120-111=9>>9 more
</think>

<answer>
9
</answer>

<think>
Lilith had 5 dozen water bottles, and since a dozen has 12 water bottles, the total number of water bottles she had was 12 bottles/dozen * 5 dozen = <<12*5=60>>60 bottles
To buy her friend the birthday gift, Lilith originally had to sell her water bottles for a total of 60 bottles * $2/bottle = $<<60*2=120>>120
When she reduced the price to $1.85 to meet the regular price, the total amount of money she had from the sales was $1.85/bottle * 60 bottles = $111
To buy her friend the birthday gift, Lilith has to find $120 - $111 = $<<120-111=9>>9 more
</think>

<answer>
9
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] John pays for half the cost of raising a child.  It cost $10,000 a year for the first 8 years and then twice that much per year until the child is 18.  University tuition then costs $250,000.  How much did it cost?

[Assistant]
<think>
The first 8 years cost 8*10,000=$<<8*10000=80000>>80,000
The next 18-8=<<18-8=10>>10 years
They cost 10000*2=$<<10000*2=20000>>20,000 per year
So they cost 20,000*10=$<<20000*10=200000>>200,000
So the cost was 200,000+80,000=$<<200000+80000=280000>>280,000
Adding in the cost of tuition brings the cost to 250,000+280,000=$<<250000+280000=530000>>530,000
Since John pays for half the cost of raising the child, he pays $530000/2 = <<530000/2=265000>>265000
</think>

<answer>
265000
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] At a gym, the blue weights are 2 pounds each, and the green weights are 3 pounds each. Harry put 4 blue weights and 5 green weights onto a metal bar. The bar itself weighs 2 pounds. What is the total amount of weight, in pounds, of Harry's custom creation?

[Assistant]
<think>
The blue weights weigh 4*2=<<4*2=8>>8 pounds
The green weights weigh 5*3=<<5*3=15>>15 pounds
The weights weigh 8+15=<<8+15=23>>23 pounds.
The total is then 23+2=<<23+2=25>>25.
</think>

<answer>
25
</answer>

<think>
The blue weights weigh 4*2=<<4*2=8>>8 pounds
The green weights weigh 5*3=<<5*3=15>>15 pounds
The weights weigh 8+15=<<8+15=23>>23 pounds.
The total is then 23+2=<<23+2=25>>25.
</think>

<answer>
25
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Cindy tosses 5 dimes into the wishing pond.  Eric flips 3 quarters into the pond.  Garrick throws in 8 nickels.  Ivy then drops 60 pennies in.  If Eric dips his hands into the water and pulls out a quarter, how much money, in cents, did they put into the pond?

[Assistant]
<think>
Cindy puts in 10 cents x 5 = <<10*5=50>>50 cents.
Eric puts in 3 x 25 cents = <<3*25=75>>75 cents.
Garrick puts in 8 x 5 cents = <<8*5=40>>40 cents.
Ivy puts in 60 x 1 cent = <<60*1=60>>60 cents.
After Eric pulls out a quarter, he has still left in the pond, 75 - 25 = <<75-25=50>>50 cents.
Together, they put into the pond, this amount of money, 50 + 50 + 40 + 60 = <<50+50+40+60=200>>200 cents
</think>

<answer>
200
</answer>

<think>
Cindy puts in 10 cents x 5 = <<10*5=50>>50 cents.
Eric puts in 3 x 25 cents = <<3*25=75>>75 cents.
Garrick puts in 8 x 5 cents = <<8*5=40>>40 cents.
Ivy puts in 60 x 1 cent = <<60*1=60>>60 cents.
After Eric pulls out a quarter, he has still left in the pond, 75 - 25 = <<75-25=50>>50 cents.
Together, they put into the pond, this amount of money, 50 + 50 + 40 + 60 = <<50+50+40+60=200>>200 cents
</think>

<answer>
200
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Anthony and his friend Leonel read about the importance of keeping pets at home and decided to start adopting cats and dogs from the local rescue center. Anthony has 12 cats and dogs, 2/3 of which are cats. Leonel has half times as many cats as Anthony and seven more dogs than Anthony. How many animals in total do the two have?

[Assistant]
<think>
If Anthony has 12 pets, the number of cats is 2/3 * 12 pets = <<12*2/3=8>>8 cats
The number of dogs that Anthony have is 12 pets - 8 cats = <<12-8=4>>4 dogs
Leonel has 1/2 * 8 cats = <<8*1/2=4>>4 cats.
If Leonel has seven more dogs than Anthony, then he has 4 dogs + 7 dogs = <<7+4=11>>11 dogs
The total number of pets the two have is 11 dogs for Leonel + 4 cats for Leonel + 4 dogs for Anthony + 8 cats for Anthony = <<11+4+4+8=27>>27
</think>

<answer>
27
</answer>

<think>
If Anthony has 12 pets, the number of cats is 2/3 * 12 pets = <<12*2/3=8>>8 cats
The number of dogs that Anthony have is 12 pets - 8 cats = <<12-8=4>>4 dogs
Leonel has 1/2 * 8 cats = <<8*1/2=4>>4 cats.
If Leonel has seven more dogs than Anthony, then he has 4 dogs + 7 dogs = <<7+4=11>>11 dogs
The total number of pets the two have is 11 dogs for Leonel + 4 cats for Leonel + 4 dogs for Anthony + 8 cats for Anthony = <<11+4+4+8=27>>27
</think>

<answer>
27
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Steve wanted to make a total of $100 within four days, so he took on a berry-picking job in Sweden. The job paid $2 for every pound of lingonberries picked. On Monday he picked 8 pounds. Tuesday’s harvest was triple what he had picked the previous day. On Wednesday he felt very tired and decided to rest. How many pounds of lingonberries did Steve have to pick on Thursday?

[Assistant]
<think>
On Monday, Steve was paid 8 * 2 = <<8*2=16>>16 dollars
Tuesday’s harvest was 3 * 8 = <<3*8=24>>24 pounds
The 24 pounds Steve picked on Tuesday gave him 24 * 2 = <<24*2=48>>48 dollars
So, the amount Steve earned from the first two days on the job is 16 +48 = <<16+48=64>>64 dollars
Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were 64 + 0 = <<64+0=64>>64 dollars
The difference between Steve’s earnings and his target is 100 - 64 = <<100-64=36>>36 dollars
Since he was paid 2 dollars for each pound of lingonberries, Steve needed to pick 36/2 = <<36/2=18>>18 pounds
</think>

<answer>
18
</answer>

<think>
On Monday, Steve was paid 8 * 2 = <<8*2=16>>16 dollars
Tuesday’s harvest was 3 * 8 = <<3*8=24>>24 pounds
The 24 pounds Steve picked on Tuesday gave him 24 * 2 = <<24*2=48>>48 dollars
So, the amount Steve earned from the first two days on the job is 16 +48 = <<16+48=64>>64 dollars
Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were 64 + 0 = <<64+0=64>>64 dollars
The difference between Steve’s earnings and his target is 100 - 64 = <<100-64=36>>36 dollars
Since he was paid 2 dollars for each pound of lingonberries, Steve needed to pick 36/2 = <<36/2=18>>18 pounds
</think>

<answer>
18
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Bert was able to sell 8 toy phones for $18 each, while Tory was able to sell 7 toy guns for $20 each. How much more did Bert earn than Tory?

[Assistant]
<think>
Bert was able to earn 8 x $18 = $<<8*18=144>>144 for the toy phones.
While Tory was able to earn 7 x $20 = $<<7*20=140>>140 for the toy guns.
Therefore, Bert was able to earn $144 – $140 = $<<144-140=4>>4 more than Tory.
</think>

<answer>
4
</answer>

<think>
Bert was able to earn 8 x $18 = $<<8*18=144>>144 for the toy phones.
While Tory was able to earn 7 x $20 = $<<7*20=140>>140 for the toy guns.
Therefore, Bert was able to earn $144 – $140 = $<<144-140=4>>4 more than Tory.
</think>

<answer>
4
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Pauline will make tacos for dinner. She bought a box of taco shells that cost $5, 4 bell peppers that cost $1.5 each, and 2 pounds of meat that cost $3 per pound.  How much did she spend in all?

[Assistant]
<think>
She spent 4 x $1.5 = $<<4*1.5=6>>6 for the four bell peppers.
She spent 2 x $3 = $<<2*3=6>>6 for the 2 pounds of meat.
So, Pauline spent $5 + $6 + $6 = $<<5+6+6=17>>17 in all.
</think>

<answer>
17
</answer>

<think>
She spent 4 x $1.5 = $<<4*1.5=6>>6 for the four bell peppers.
She spent 2 x $3 = $<<2*3=6>>6 for the 2 pounds of meat.
So, Pauline spent $5 + $6 + $6 = $<<5+6+6=17>>17 in all.
</think>

<answer>
17
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] A package of candy has 3 servings with 120 calories each.  John eats half the package.  How many calories did he eat?

[Assistant]
<think>
There were 3*120=<<3*120=360>>360 calories in the package
So he ate 360/2=<<360/2=180>>180 calories
</think>

<answer>
180
</answer>

<think>
There were 3*120=<<3*120=360>>360 calories in the package
So he ate 360/2=<<360/2=180>>180 calories
</think>

<answer>
180
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Diane bought twenty more apples than Cecile. If Cecile bought 15 apples, how many apples did they buy altogether?

[Assistant]
<think>
Diane bought 15 + 20 = <<15+20=35>>35 apples.
Therefore, they bought 15 + 35 = <<15+35=50>>50 apples altogether.
</think>

<answer>
50
</answer>

<think>
Diane bought 15 + 20 = <<15+20=35>>35 apples.
Therefore, they bought 15 + 35 = <<15+35=50>>50 apples altogether.
</think>

<answer>
50
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] At a roller derby, 4 teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered 3 sets of laces per pair of skates. How many sets of laces have been handed out?

[Assistant]
<think>
There are a total of 4 teams * 10 members per team = <<4*10=40>>40 team members.
Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = <<1+1=2>>2 pairs of roller skates.
So there are a total of 40 team members * 2 pairs of roller skates per team member = <<40*2=80>>80 roller skates.
There were therefore 80 roller skates * 3 sets of laces per pair of roller skates = <<80*3=240>>240 sets of laces handed out.
</think>

<answer>
240
</answer>

<think>
There are a total of 4 teams * 10 members per team = <<4*10=40>>40 team members.
Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = <<1+1=2>>2 pairs of roller skates.
So there are a total of 40 team members * 2 pairs of roller skates per team member = <<40*2=80>>80 roller skates.
There were therefore 80 roller skates * 3 sets of laces per pair of roller skates = <<80*3=240>>240 sets of laces handed out.
</think>

<answer>
240
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Bucky earns money each weekend catching and selling fish. He wants to save up for a new video game, which costs $60. Last weekend he earned $35. He can earn $5 from trout and $4 from blue-gill. He caught five fish this Sunday. If 60% were trout, and the rest were blue-gill, how much more does he need to save before he can buy the game?

[Assistant]
<think>
He is $25 short for the game because 60 - 35 = <<60-35=25>>25
He caught 3 trout because 5 x .6 = <<5*.6=3>>3
He caught 2 blue-gill because 5 - 3 = <<5-3=2>>2
He earned $15 from the trout because 3 x 5 = <<3*5=15>>15
He earned $8 from the blue-gill because 2 x 4 = <<2*4=8>>8
He earned $23 total because 15 + 8 = <<15+8=23>>23
He is $2 short because 25 - 23 = <<25-23=2>>2
</think>

<answer>
2
</answer>

<think>
He is $25 short for the game because 60 - 35 = <<60-35=25>>25
He caught 3 trout because 5 x .6 = <<5*.6=3>>3
He caught 2 blue-gill because 5 - 3 = <<5-3=2>>2
He earned $15 from the trout because 3 x 5 = <<3*5=15>>15
He earned $8 from the blue-gill because 2 x 4 = <<2*4=8>>8
He earned $23 total because 15 + 8 = <<15+8=23>>23
He is $2 short because 25 - 23 = <<25-23=2>>2
</think>

<answer>
2
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Rylee is bored and decides to count the number of leaves falling off the tree in her backyard. 7 leaves fall in the first hour. For the second and third hour, the leaves fall at a rate of 4 per hour. What is the average number of leaves which fell per hour?

[Assistant]
<think>
7 leaves fell in the first hour.
4 leaves fell in the second hour.
4 leaves fell in the third hour.
The total number of leaves that fell during the 3 hours is 7 + 4 + 4 = <<7+4+4=15>>15 leaves.
The average number of leaves that fell per hour is 15 leaves / 3 hours = <<15/3=5>>5 leaves per hour.
</think>

<answer>
5
</answer>

<think>
7 leaves fell in the first hour.
4 leaves fell in the second hour.
4 leaves fell in the third hour.
The total number of leaves that fell during the 3 hours is 7 + 4 + 4 = <<7+4+4=15>>15 leaves.
The average number of leaves that fell per hour is 15 leaves / 3 hours = <<15/3=5>>5 leaves per hour.
</think>

<answer>
5
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Libby is building an igloo in her backyard using bricks of snow. She builds her igloo in rows, using a total of 10 rows of bricks of snow. The bottom half of the igloo has 12 bricks of snow in each row while the top half of the igloo has 8 bricks of snow in each row. How many bricks of snow did Libby use for her igloo?

[Assistant]
<think>
In the bottom half of the igloo, there are 10 rows / 2 = <<10/2=5>>5 rows of bricks of snow.
So in the bottom half of the igloo, there are 5 rows * 12 bricks of snow in each row = <<5*12=60>>60 bricks of snow.
In the top half of the igloo, there are 5 rows * 8 bricks of snow in each row = <<5*8=40>>40 bricks of snow.
There is therefore a total of 60 + 40 = <<60+40=100>>100 bricks of snow in the igloo.
</think>

<answer>
100
</answer>

<think>
In the bottom half of the igloo, there are 10 rows / 2 = <<10/2=5>>5 rows of bricks of snow.
So in the bottom half of the igloo, there are 5 rows * 12 bricks of snow in each row = <<5*12=60>>60 bricks of snow.
In the top half of the igloo, there are 5 rows * 8 bricks of snow in each row = <<5*8=40>>40 bricks of snow.
There is therefore a total of 60 + 40 = <<60+40=100>>100 bricks of snow in the igloo.
</think>

<answer>
100
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] In ten years, I'll be twice my brother's age. The sum of our ages will then be 45 years old. How old am I now?

[Assistant]
<think>
Let X be my age now.
In ten years, I'll be X+<<+10=10>>10 years old.
In ten years, my brother will be (X+10)*1/2 years old.
In ten years, (X+10) + (X+10)*1/2 = 45.
So (X+10)*3/2 = 45.
X+10 = 45 * 2/3 = 30.
X = 30 - 10 = <<30-10=20>>20 years old.
</think>

<answer>
20
</answer>

<think>
Let X be my age now.
In ten years, I'll be X+<<+10=10>>10 years old.
In ten years, my brother will be (X+10)*1/2 years old.
In ten years, (X+10) + (X+10)*1/2 = 45.
So (X+10)*3/2 = 45.
X+10 = 45 * 2/3 = 30.
X = 30 - 10 = <<30-10=20>>20 years old.
</think>

<answer>
20
</answer>


[System]
You are a highly capable and helpful math problem-solving assistant. Your goal is to carefully analyze and solve the user's mathematics question by providing a detailed, step-by-step explanation that is easy to follow and logically sound.

## Instructions

1. **Carefully read and fully understand the user's question.** Identify what is being asked and any relevant information or constraints.

2. **Generate a detailed problem-solving process**, breaking down the solution into clear, logical steps. Explain each step thoroughly, including all intermediate calculations, reasoning, definitions, and justifications—even if they seem simple or obvious. This helps ensure clarity and aids understanding.

3. **Structure your reasoning by enclosing all these problem-solving steps within `<think>` tags.**

4. **After completing the detailed reasoning, provide the final answer clearly and unambiguously, enclosed within `<answer>` tags.** Ensure the answer directly addresses the question.

5. If the problem involves multiple parts or sub-questions, address each part sequentially, separating your reasoning and answers clearly.

6. Use correct mathematical notation and terminology throughout.

7. Avoid skipping steps or assuming knowledge; assume the reader needs a comprehensive explanation.

## Output Format
<think>
<!-- Detailed, step-by-step problem-solving explanation goes here -->
</think>

<answer>
<!-- Final answer to the problem goes here -->
</answer>

[User] Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?

[Assistant]
<think>
After the birds ate 19 of the tomatoes Haruto has 127 - 19 = <<127-19=108>>108 tomatoes left.
After giving half of his tomatoes to his friend, Haruto had 108 / 2 = <<108/2=54>>54 tomatoes.
</think>

<answer>
54
</answer>

<think>
After the birds ate 19 of the tomatoes Haruto has 127 - 19 = <<127-19=108>>108 tomatoes left.
After giving half of his tomatoes to his friend, Haruto had 108 / 2 = <<108/2=54>>54 tomatoes.
</think>

<answer>
54
</answer>