[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 volunteers at a shelter twice a month for 3 hours at a time.  How many hours does he volunteer per year?

[Assistant]
<think>
He volunteers 2*12=<<2*12=24>>24 times a year
So he volunteers for 24*3=<<24*3=72>>72 hours
</think>

<answer>
72
</answer>

<think>
He volunteers 2*12=<<2*12=24>>24 times a year
So he volunteers for 24*3=<<24*3=72>>72 hours
</think>

<answer>
72
</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 puts $25 in his piggy bank every month for 2 years to save up for a vacation. He had to spend $400 from his piggy bank savings last week to repair his car. How many dollars are left in his piggy bank?

[Assistant]
<think>
He saved money for 2 years, which is equal to 12 x 2 = <<12*2=24>>24 months.
The amount of money he saved is $25*24 = $<<25*24=600>>600.
But he spent some money so there is $600 - $400 = <<600-400=200>>200 left.
</think>

<answer>
200
</answer>

<think>
He saved money for 2 years, which is equal to 12 x 2 = <<12*2=24>>24 months.
The amount of money he saved is $25*24 = $<<25*24=600>>600.
But he spent some money so there is $600 - $400 = <<600-400=200>>200 left.
</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] Five coaster vans are used to transport students for their field trip. Each van carries 28 students, 60 of which are boys. How many are girls?

[Assistant]
<think>
There are a total of 5 vans x 28 students = <<5*28=140>>140 students.
If 60 are boys, then 140 - 60 = <<140-60=80>>80 of these students are girls.
</think>

<answer>
80
</answer>

<think>
There are a total of 5 vans x 28 students = <<5*28=140>>140 students.
If 60 are boys, then 140 - 60 = <<140-60=80>>80 of these students are girls.
</think>

<answer>
80
</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] Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?

[Assistant]
<think>
In the first year, Bobby will acquire 16 * .5 = <<16*.5=8>>8 new cars.
After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars.
In the second year, Bobby will acquire 24 * .5 = <<24*.5=12>>12 new cars.
After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total.
In the third year, Bobby will acquire 36 * .5 = <<36*.5=18>>18 new cars.
After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total.
</think>

<answer>
54
</answer>

<think>
In the first year, Bobby will acquire 16 * .5 = <<16*.5=8>>8 new cars.
After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars.
In the second year, Bobby will acquire 24 * .5 = <<24*.5=12>>12 new cars.
After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total.
In the third year, Bobby will acquire 36 * .5 = <<36*.5=18>>18 new cars.
After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total.
</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] Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by 30%, food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to last year?

[Assistant]
<think>
First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $<<1000*.3=300>>300
Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $<<200*.5=100>>100
Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $<<100*3=300>>300
Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $<<300-100=200>>200
Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $<<300+100+200=600>>600
Now multiply the increase per month by the number of months in a year to find the annual increase: $600/month * 12 months/year = $<<600*12=7200>>7200/year
</think>

<answer>
7200
</answer>

<think>
First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $<<1000*.3=300>>300
Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $<<200*.5=100>>100
Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $<<100*3=300>>300
Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $<<300-100=200>>200
Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $<<300+100+200=600>>600
Now multiply the increase per month by the number of months in a year to find the annual increase: $600/month * 12 months/year = $<<600*12=7200>>7200/year
</think>

<answer>
7200
</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 just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?

[Assistant]
<think>
Randy has 20 – 12 = <<20-12=8>>8 years until he is 20.
He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert.
There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy.
Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year.
Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day.
</think>

<answer>
5
</answer>

<think>
Randy has 20 – 12 = <<20-12=8>>8 years until he is 20.
He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert.
There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy.
Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year.
Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day.
</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] Mike and Ted planted tomatoes.  In the morning, Mike planted 50 tomato seeds while Ted planted twice as much as Mike.  In the afternoon, Mike planted 60 tomato seeds while Ted planted 20 fewer tomato seeds than Mike. How many tomato seeds did they plant altogether?

[Assistant]
<think>
Ted planted 2 x 50 = <<2*50=100>>100 tomato seeds.
So, Mike and Ted planted 50 + 100 = <<50+100=150>>150 tomato seeds in the morning.
In the afternoon, Ted planted 60 - 20 = <<60-20=40>>40 seeds.
Thus, Mike and Ted planted 60 + 40 = <<60+40=100>>100 tomato seeds in the afternoon.
Therefore, they planted 150 + 100 = <<150+100=250>>250 tomato seed altogether.
</think>

<answer>
250
</answer>

<think>
Ted planted 2 x 50 = <<2*50=100>>100 tomato seeds.
So, Mike and Ted planted 50 + 100 = <<50+100=150>>150 tomato seeds in the morning.
In the afternoon, Ted planted 60 - 20 = <<60-20=40>>40 seeds.
Thus, Mike and Ted planted 60 + 40 = <<60+40=100>>100 tomato seeds in the afternoon.
Therefore, they planted 150 + 100 = <<150+100=250>>250 tomato seed altogether.
</think>

<answer>
250
</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 6 months Bella and Bob will be celebrating their 4th anniversary.  How many months ago did they celebrate their 2nd anniversary?

[Assistant]
<think>
First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4*12=<<4*12=48>>48 months
Then, we subtract their 6 month difference, finding they are at 48-6=<<48-6=42>>42 months into their relationship.
Since 2 years would be 2*12=<<2*12=24>>24 months into the relationship.
We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= <<42-24=18>>18 months
</think>

<answer>
18
</answer>

<think>
First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4*12=<<4*12=48>>48 months
Then, we subtract their 6 month difference, finding they are at 48-6=<<48-6=42>>42 months into their relationship.
Since 2 years would be 2*12=<<2*12=24>>24 months into the relationship.
We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= <<42-24=18>>18 months
</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] A church has 120 members. 40% are adults. The rest are children. How many children more children are there than adults?

[Assistant]
<think>
There are 48 adults because 120 x .4 = <<120*.4=48>>48
60% of members are children because 100 - 40 = <<100-40=60>>60
There are 72 children because 120 x .6 = <<120*.6=72>>72
There are 24 more children than adults because 72 - 48 = <<72-48=24>>24
</think>

<answer>
24
</answer>

<think>
There are 48 adults because 120 x .4 = <<120*.4=48>>48
60% of members are children because 100 - 40 = <<100-40=60>>60
There are 72 children because 120 x .6 = <<120*.6=72>>72
There are 24 more children than adults because 72 - 48 = <<72-48=24>>24
</think>

<answer>
24
</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] Missy had a giant piggy bank in her bedroom.  Every day she would search the house for change to put in her bank.  After 4 years, the bank was opened and it contained $450 in change.  If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?

[Assistant]
<think>
We let x be the amount of money she put in the bank the first year,
Then the second year was 2*x,
and the third year was 2*2*x=4*x,
and the fourth year was 2*2*2*x=8*x.
And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x+(2*x)+(4*x)+(8*x).
This simplifies to $450=15*x.
And therefore, the amount of money she put in the bank the first year was x=$<<30=30>>30.
</think>

<answer>
30
</answer>

<think>
We let x be the amount of money she put in the bank the first year,
Then the second year was 2*x,
and the third year was 2*2*x=4*x,
and the fourth year was 2*2*2*x=8*x.
And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x+(2*x)+(4*x)+(8*x).
This simplifies to $450=15*x.
And therefore, the amount of money she put in the bank the first year was x=$<<30=30>>30.
</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] By the time Anne is two times as old as Emile, Emile will be six times as old as Maude. If Maude will be 8 years old, how old will Anne be?

[Assistant]
<think>
If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 6*8 = 48 years.
If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 2*48 = <<48*2=96>>96 years.
</think>

<answer>
96
</answer>

<think>
If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 6*8 = 48 years.
If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 2*48 = <<48*2=96>>96 years.
</think>

<answer>
96
</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] Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have?

[Assistant]
<think>
Ravi has 6 + 2 = <<6+2=8>>8 quarters.
He has also 8 + 4 = <<8+4=12>>12 dimes.
A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents.
A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents.
A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents.
therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents.
</think>

<answer>
350
</answer>

<think>
Ravi has 6 + 2 = <<6+2=8>>8 quarters.
He has also 8 + 4 = <<8+4=12>>12 dimes.
A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents.
A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents.
A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents.
therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents.
</think>

<answer>
350
</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] Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?

[Assistant]
<think>
Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut.
Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over.
If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win.
</think>

<answer>
11
</answer>

<think>
Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut.
Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over.
If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win.
</think>

<answer>
11
</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 car uses 20 gallons of gas to travel 400 miles. Mr. Montero's car has 8 gallons in it. How many more gallons of gas does he need to travel 600 miles, back and forth?

[Assistant]
<think>
Mr. Montero is traveling a total distance of 600 miles + 600 miles = <<600+600=1200>>1200 miles.
There are 1200 miles / 400 miles = <<1200/400=3>>3 sets of 400 miles in 1200 miles.
So Mr. Montero needs 20 gallons/set x 3 sets = <<20*3=60>>60 gallons in all.
Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = <<60-8=52>>52 gallons more.
</think>

<answer>
52
</answer>

<think>
Mr. Montero is traveling a total distance of 600 miles + 600 miles = <<600+600=1200>>1200 miles.
There are 1200 miles / 400 miles = <<1200/400=3>>3 sets of 400 miles in 1200 miles.
So Mr. Montero needs 20 gallons/set x 3 sets = <<20*3=60>>60 gallons in all.
Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = <<60-8=52>>52 gallons more.
</think>

<answer>
52
</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] Mira jogs every morning. She jogs 5 miles per hour. If she jogs for 2 hours every morning, how many miles can she jog for five days?

[Assistant]
<think>
Mira jogs 5 x 2 = <<5*2=10>>10 miles per day.
Therefore she can jog 10 x 5 = <<10*5=50>>50 miles for 5 days.
</think>

<answer>
50
</answer>

<think>
Mira jogs 5 x 2 = <<5*2=10>>10 miles per day.
Therefore she can jog 10 x 5 = <<10*5=50>>50 miles for 5 days.
</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] Bekah had to read 408 pages for history class. She read 113 pages over the weekend and has 5 days left to finish her reading. How many pages will she need to read each day for 5 days to complete her assignment?

[Assistant]
<think>
Pages left to read: 408 - 113 = <<408-113=295>>295 pages
295/5 = <<295/5=59>>59 pages
Bekah needs to read 59 pages each day.
</think>

<answer>
59
</answer>

<think>
Pages left to read: 408 - 113 = <<408-113=295>>295 pages
295/5 = <<295/5=59>>59 pages
Bekah needs to read 59 pages each day.
</think>

<answer>
59
</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 and Bob went to the canteen to buy snacks. They spent the same amount. Andy bought a can of soda at $1 and two hamburgers at $2 each.  Bob ordered two sandwiches for $3 and a can of fruit drink.  How much did Bob's fruit drink cost?

[Assistant]
<think>
Two hamburger cost 2 x $2 = $<<2*2=4>>4.
So, Andy spent $1 + $4 = $<<1+4=5>>5.
Therefore, Bob's fruit drink cost $5 - $3 = $<<5-3=2>>2.
</think>

<answer>
2
</answer>

<think>
Two hamburger cost 2 x $2 = $<<2*2=4>>4.
So, Andy spent $1 + $4 = $<<1+4=5>>5.
Therefore, Bob's fruit drink cost $5 - $3 = $<<5-3=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] A library cabinet houses five ancient scrolls. The first scroll is 4080 years old. If each scroll is older than the last by half as many years as the last scroll’s age, how old is the fifth scroll?

[Assistant]
<think>
The second scroll is 4080 + 4080 / 2 = 4000 + 2040 = <<4080+4080/2=6120>>6120 years old.
The third scroll is 6120 + 6120 / 2 = 6120 + 3060 = <<6120+6120/2=9180>>9180 years old.
The fourth scroll is 9180 + 9180 / 2 = 9180 + 4590 = <<9180+9180/2=13770>>13770 years old.
The fifth scroll is 13770 + 13770 / 2 = 13770 + 6885 = <<13770+13770/2=20655>>20655 years old.
</think>

<answer>
20655
</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 washing machine uses 20 gallons of water for a heavy wash, 10 gallons of water for a regular wash, and 2 gallons of water for a light wash per load of laundry. If bleach is used, there is an extra light wash cycle added to rinse the laundry thoroughly. There are two heavy washes, three regular washes, and one light wash to do. Two of the loads need to be bleached. How many gallons of water will be needed?

[Assistant]
<think>
The two heavy washes will use 20 * 2 = <<20*2=40>>40 gallons of water.
The three regular washes will use 10 * 3 = <<10*3=30>>30 gallons of water.
The light wash will use 2 * 1 = <<2*1=2>>2 gallons of water.
The two bleached loads will use an extra 2 * 2 = <<2*2=4>>4 gallons of water.
In all, 40 + 30 + 2 + 4 = <<40+30+2+4=76>>76 gallons of water will be needed.
</think>

<answer>
76
</answer>

<think>
The two heavy washes will use 20 * 2 = <<20*2=40>>40 gallons of water.
The three regular washes will use 10 * 3 = <<10*3=30>>30 gallons of water.
The light wash will use 2 * 1 = <<2*1=2>>2 gallons of water.
The two bleached loads will use an extra 2 * 2 = <<2*2=4>>4 gallons of water.
In all, 40 + 30 + 2 + 4 = <<40+30+2+4=76>>76 gallons of water will be needed.
</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] There are 32 tables in a hall. Half the tables have 2 chairs each, 5 have 3 chairs each and the rest have 4 chairs each. How many chairs in total are in the hall?

[Assistant]
<think>
Half of 32 tables is 32*(1/2) = <<32*(1/2)=16>>16 tables
16 tables have 2 chairs each for a total of 16*2 = <<16*2=32>>32 chairs
5 tables have 3 chairs each for a total of 5*3 = <<5*3=15>>15 chairs
There are 32-(16+5) = <<32-(16+5)=11>>11 tables left
11 tables have 4 chairs each for a total of 11*4 = <<11*4=44>>44 chairs
The total number of chairs is 32+15+44 = <<32+15+44=91>>91 chairs
</think>

<answer>
91
</answer>

<think>
Half of 32 tables is 32*(1/2) = <<32*(1/2)=16>>16 tables
16 tables have 2 chairs each for a total of 16*2 = <<16*2=32>>32 chairs
5 tables have 3 chairs each for a total of 5*3 = <<5*3=15>>15 chairs
There are 32-(16+5) = <<32-(16+5)=11>>11 tables left
11 tables have 4 chairs each for a total of 11*4 = <<11*4=44>>44 chairs
The total number of chairs is 32+15+44 = <<32+15+44=91>>91 chairs
</think>

<answer>
91
</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] Ian won $100 in the lottery.  He decided to use the money to pay off debts. He paid $20 to Colin. He then paid twice as much to Helen, as he had paid to Colin. Then finally, he paid half as much to Benedict, as he had paid to Helen.  How much money, in dollars, does he have left after paying off debts?

[Assistant]
<think>
Starting with $100, he paid $20 to Colin, leaving him with $100-$20=$<<100-20=80>>80.
Twice as much as $20 is 2*$20=$<<2*20=40>>40.
Thus, he paid $40 to Helen, leaving him with $80-$40=$<<80-40=40>>40.
Half as much to Benedict as he had paid to Helen is $40/2=$<<40/2=20>>20.
Thus, he paid $20 to Benedict, leaving him with $40-$20=$20 after paying off all debts.
</think>

<answer>
20
</answer>

<think>
Starting with $100, he paid $20 to Colin, leaving him with $100-$20=$<<100-20=80>>80.
Twice as much as $20 is 2*$20=$<<2*20=40>>40.
Thus, he paid $40 to Helen, leaving him with $80-$40=$<<80-40=40>>40.
Half as much to Benedict as he had paid to Helen is $40/2=$<<40/2=20>>20.
Thus, he paid $20 to Benedict, leaving him with $40-$20=$20 after paying off all debts.
</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] A company has 200 employees.  60% of the employees drive to work.  Of the employees who don't drive to work, half take public transportation. How many more employees drive to work than take public transportation?

[Assistant]
<think>
Drive to work:200(.60)=<<200*.60=120>>120
Don't Drive to work:200-120=<<200-120=80>>80
Public Transportation:80(.50)=40 employees
80-40=<<80-40=40>>40 employees
</think>

<answer>
40
</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] Jan buys 1000 feet of cable.  She splits it up into 25-foot sections.  She gives 1/4 of that to a friend.  She then puts half of the rest in storage. How much does she keep on hand?

[Assistant]
<think>
She gets 1000/25=<<1000/25=40>>40 sections
She gives away 40/4=<<40/4=10>>10 sections
So she keeps 40-10=<<40-10=30>>30 sections
She keeps 30/2=<<30/2=15>>15 sections on hand
</think>

<answer>
15
</answer>

<think>
She gets 1000/25=<<1000/25=40>>40 sections
She gives away 40/4=<<40/4=10>>10 sections
So she keeps 40-10=<<40-10=30>>30 sections
She keeps 30/2=<<30/2=15>>15 sections on hand
</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] Emery and Serena go to their school library, and each borrows a copy of The life of Jack Steve's book to read for their school project. If Emery can read five times as fast as Serena, and the book takes her 20 days to read, what's the average number of days the two take to read the book?

[Assistant]
<think>
If Emery took twenty days to read the book, then it took Serena 5*20 = <<20*5=100>>100 days to read the whole book.
The total number of days taken by the two to read the book is 100+20 = <<100+20=120>>120 days.
The average number of days the two take to read the book is 120/2 = <<120/2=60>>60 days.
</think>

<answer>
60
</answer>

<think>
If Emery took twenty days to read the book, then it took Serena 5*20 = <<20*5=100>>100 days to read the whole book.
The total number of days taken by the two to read the book is 100+20 = <<100+20=120>>120 days.
The average number of days the two take to read the book is 120/2 = <<120/2=60>>60 days.
</think>

<answer>
60
</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 laboratory has 22 beakers of liquid in a fume hood, and 8 of the beakers have copper ions in them. Adding three drops of a solution will turn the liquid in a beaker blue if there are copper ions present. If the beakers are tested one by one for copper ions and 45 drops are used before all 8 beakers with copper ions are found, how many beakers without copper ions were tested?

[Assistant]
<think>
There were 45 / 3 = <<45/3=15>>15 beakers tested to find all the beakers with copper ions.
Thus, 15 - 8 = <<15-8=7>>7 beakers without copper ions were tested.
</think>

<answer>
7
</answer>

<think>
There were 45 / 3 = <<45/3=15>>15 beakers tested to find all the beakers with copper ions.
Thus, 15 - 8 = <<15-8=7>>7 beakers without copper ions were tested.
</think>

<answer>
7
</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] Jolene and Phil have four children, each with the same birthday.  They gave birth to their first child exactly 15 years ago.  They gave birth to their second child exactly one year after the birth of their first child.  They gave birth to their third child on the fourth birthday of their second child. Two years after the birth of their third child, they gave birth to their fourth child.  How old, in years, is their fourth child?

[Assistant]
<think>
Their 1st child was born 15 years ago, and therefore is <<15=15>>15 years old.
Their 2nd child was born 1 year after their 15-year-old child, and therefore is 15-1=<<15-1=14>>14 years old.
Their 3rd child was born 4 years after their 14-year-old child, and therefore is 14-4=10 years old.
Their 4th child was born 2 years after their 10-year-old child, and therefore is 10-2=8 years old.
</think>

<answer>
8
</answer>

<think>
Their 1st child was born 15 years ago, and therefore is <<15=15>>15 years old.
Their 2nd child was born 1 year after their 15-year-old child, and therefore is 15-1=<<15-1=14>>14 years old.
Their 3rd child was born 4 years after their 14-year-old child, and therefore is 14-4=10 years old.
Their 4th child was born 2 years after their 10-year-old child, and therefore is 10-2=8 years old.
</think>

<answer>
8
</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] Bryan starts exercising at home during quarantine. To start, he decides to do 3 sets of 15 push-ups each. Near the end of the third set, he gets tired and does 5 fewer push-ups. How many push-ups did he do in total?

[Assistant]
<think>
In total, Bryan would have done 3 sets * 15 push-ups/set = <<3*15=45>>45 push-ups.
Subtracting the push-ups he didn't do in the third set, Bryan did 45 push-ups - 5 push-ups = <<45-5=40>>40 push-ups.
</think>

<answer>
40
</answer>

<think>
In total, Bryan would have done 3 sets * 15 push-ups/set = <<3*15=45>>45 push-ups.
Subtracting the push-ups he didn't do in the third set, Bryan did 45 push-ups - 5 push-ups = <<45-5=40>>40 push-ups.
</think>

<answer>
40
</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] Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives the cashier $7.00. If the cashier only has 1 quarter and 1 dime in his till, plus a bunch of nickels, how many nickels does Mark get in his change?

[Assistant]
<think>
First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $<<7-4.2-2.05=0.75>>0.75
Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - $0.10 = $<<0.75-0.25-0.10=0.40>>0.40
Now divide the amount Mark gets in nickels by the value per nickel in cents (5) to find how many nickels Mark gets: $0.40 / $0.05/nickel = <<0.40/0.05=8>>8 nickels
</think>

<answer>
8
</answer>

<think>
First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $<<7-4.2-2.05=0.75>>0.75
Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - $0.10 = $<<0.75-0.25-0.10=0.40>>0.40
Now divide the amount Mark gets in nickels by the value per nickel in cents (5) to find how many nickels Mark gets: $0.40 / $0.05/nickel = <<0.40/0.05=8>>8 nickels
</think>

<answer>
8
</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] Max likes to collect model trains.  He asks for one for every birthday of his, and asks for two each Christmas.  Max always gets the gifts he asks for, and asks for these same gifts every year for 5 years.  At the end of the 5 years, his parents give him double the number of trains he already has.  How many trains does Max have now?

[Assistant]
<think>
Max gets 1+2=<<1+2=3>>3 trains per year.
He repeats this for 5 years, meaning he gets 5*3 =<<5*3=15>>15 trains.
When this number is doubled by his parents, it becomes 15*2= <<15*2=30>>30 trains.
Since he already had 15 model trains, his total becomes 15+30= <<15+30=45>>45 trains.
</think>

<answer>
45
</answer>

<think>
Max gets 1+2=<<1+2=3>>3 trains per year.
He repeats this for 5 years, meaning he gets 5*3 =<<5*3=15>>15 trains.
When this number is doubled by his parents, it becomes 15*2= <<15*2=30>>30 trains.
Since he already had 15 model trains, his total becomes 15+30= <<15+30=45>>45 trains.
</think>

<answer>
45
</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] Jake has $5000. He spends $2800 on a new motorcycle, and then spends half of what's left on a concert ticket. Jake then loses a fourth of what he has left. How much money does he have left?

[Assistant]
<think>
Jake has 5000-2800 = $<<5000-2800=2200>>2200 left
Jake has 2200/2 = $<<2200/2=1100>>1100
Jake loses 1100/4 = $<<1100/4=275>>275
Jake has 1100-275 = $<<1100-275=825>>825 left.
</think>

<answer>
825
</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 April, Tank gathered 10 more Easter eggs than Emma in their first round of egg hunt. However, Emma gathered twice as many eggs as Tank in their second round of egg hunt, while Tank's total number of eggs in the second round was 20 less than the number she had gathered in the first round. If the total number of eggs in the pile they were collecting with 6 other people was 400 eggs, and Emma gathered 60 eggs in the second egg hunt round, find the number of eggs that the 6 other egg hunters collected?

[Assistant]
<think>
Tank's total number of eggs in the second round was 60/2=<<60/2=30>>30 since Emma gathered twice as many eggs as Tank in their second round of egg hunt.
The total number of eggs that Emma and Tank gathered in the second round was 60+30=<<60+30=90>>90
Tank's total number of eggs in the second round was 20 less than the number she had gathered in the first round, meaning she had gathered 30+20=<<30+20=50>>50 eggs in the first round of egg hunt.
Tank gathered 10 more Easter eggs than Emma in their first round of egg hunt, meaning Emma collected 50-10=40 eggs
The total number of eggs Emma and Tank collected in the first round was 40+50=<<40+50=90>>90
In the two rounds, Emma and Tank gathered 90+90=<<90+90=180>>180 eggs
If the total number of eggs in the pile they were collecting with 6 other people was 400 eggs, the six other people gathered 400-180=<<400-180=220>>220 eggs
</think>

<answer>
220
</answer>

<think>
Tank's total number of eggs in the second round was 60/2=<<60/2=30>>30 since Emma gathered twice as many eggs as Tank in their second round of egg hunt.
The total number of eggs that Emma and Tank gathered in the second round was 60+30=<<60+30=90>>90
Tank's total number of eggs in the second round was 20 less than the number she had gathered in the first round, meaning she had gathered 30+20=<<30+20=50>>50 eggs in the first round of egg hunt.
Tank gathered 10 more Easter eggs than Emma in their first round of egg hunt, meaning Emma collected 50-10=40 eggs
The total number of eggs Emma and Tank collected in the first round was 40+50=<<40+50=90>>90
In the two rounds, Emma and Tank gathered 90+90=<<90+90=180>>180 eggs
If the total number of eggs in the pile they were collecting with 6 other people was 400 eggs, the six other people gathered 400-180=<<400-180=220>>220 eggs
</think>

<answer>
220
</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 running a bake sale to help pay for his basketball team's uniforms. He's already sold 4 brownies for $3 each and 5 lemon squares for $2 each. If Jack's goal is to make $50 and he sells cookies for $4 each, how many cookies does he need to sell to reach his goal?

[Assistant]
<think>
Jack earned from the brownies $3 per brownie * 4 brownies = $<<3*4=12>>12.
Jack earned from the lemon squares $2 per square * 5 squares = $<<2*5=10>>10.
He still needs to earn $50 - $12 - $10 = $<<50-12-10=28>>28.
He sells cookies for $4 each, so Jack still needs to sell $28 / $4 = <<28/4=7>>7 cookies.
</think>

<answer>
7
</answer>

<think>
Jack earned from the brownies $3 per brownie * 4 brownies = $<<3*4=12>>12.
Jack earned from the lemon squares $2 per square * 5 squares = $<<2*5=10>>10.
He still needs to earn $50 - $12 - $10 = $<<50-12-10=28>>28.
He sells cookies for $4 each, so Jack still needs to sell $28 / $4 = <<28/4=7>>7 cookies.
</think>

<answer>
7
</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] Frank has 7 one-dollar bills, 4 five-dollar bills, 2 ten-dollar bills, and 1 twenty-dollar bill. He goes to buy peanuts, which cost $3 a pound. He buys what he wants and has $4 in change. He plans to eat the peanuts all in one week. How many pounds does he eat on average per day?

[Assistant]
<think>
Frank has $7 in one dollar bills because 7 x 1 = <<7*1=7>>7
Frank has $20 in five dollar bills because 4 x 5 = <<20=20>>20
Frank has $20 in ten dollar bills because 2 x 10 = <<2*10=20>>20
Frank has 67 dollars in total because 7 + 20 + 20 + 20 = <<7+20+20+20=67>>67
Frank spent $63 because 67 - 4 = <<67-4=63>>63
Frank bought 21 pounds of peanuts because 63 / 3 = <<63/3=21>>21
He eats 3 pounds a day on average because 21 / 7 = <<21/7=3>>3
</think>

<answer>
3
</answer>

<think>
Frank has $7 in one dollar bills because 7 x 1 = <<7*1=7>>7
Frank has $20 in five dollar bills because 4 x 5 = <<20=20>>20
Frank has $20 in ten dollar bills because 2 x 10 = <<2*10=20>>20
Frank has 67 dollars in total because 7 + 20 + 20 + 20 = <<7+20+20+20=67>>67
Frank spent $63 because 67 - 4 = <<67-4=63>>63
Frank bought 21 pounds of peanuts because 63 / 3 = <<63/3=21>>21
He eats 3 pounds a day on average because 21 / 7 = <<21/7=3>>3
</think>

<answer>
3
</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] Kate bought 7 packs of red bouncy balls and 6 packs of yellow bouncy balls. Each pack contained 18 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Kate buy?

[Assistant]
<think>
Kate bought 7 packs × 18 balls/pack = <<7*18=126>>126 red bouncy balls.
She also bought 6 packs × 18 balls/pack = <<6*18=108>>108 yellow bouncy balls.
Kate bought 126 balls - 108 balls= <<126-108=18>>18 more red bouncy balls than yellow bouncy balls.
</think>

<answer>
18
</answer>

<think>
Kate bought 7 packs × 18 balls/pack = <<7*18=126>>126 red bouncy balls.
She also bought 6 packs × 18 balls/pack = <<6*18=108>>108 yellow bouncy balls.
Kate bought 126 balls - 108 balls= <<126-108=18>>18 more red bouncy balls than yellow bouncy balls.
</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] Mr. Lu owns a computer store. For last month, half of their sales are laptops, one-third are netbooks, and the rest are desktop computers. If Mr. Lu's store was able to sell a total of 72 computers, how many of them are desktop computers?

[Assistant]
<think>
There were 72/2 = <<72/2=36>>36 laptops sold.
There were 72/3 = <<72/3=24>>24 netbooks sold.
So, there were a total of 36 + 24 = <<36+24=60>>60 laptops and netbooks sold.
Thus, 72 - 60 = <<72-60=12>>12 desktop computers were sold last month.
</think>

<answer>
12
</answer>

<think>
There were 72/2 = <<72/2=36>>36 laptops sold.
There were 72/3 = <<72/3=24>>24 netbooks sold.
So, there were a total of 36 + 24 = <<36+24=60>>60 laptops and netbooks sold.
Thus, 72 - 60 = <<72-60=12>>12 desktop computers were sold last month.
</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] Ann is baking cookies. She bakes three dozen oatmeal raisin cookies, two dozen sugar cookies, and four dozen chocolate chip cookies. Ann gives away two dozen oatmeal raisin cookies, 1.5 dozen sugar cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep?

[Assistant]
<think>
Ann had 3 dozen oatmeal cookies - 2 dozen = <<3-2=1>>1 dozen oatmeal cookies left.
Ann had 2 dozen sugar cookies - 1.5 dozen = <<2-1.5=.5>>.5 dozen sugar cookies left.
Ann had 4 dozen chocolate chip cookies - 2.5 dozen = 1.5 dozen chocolate chip cookies left.
Ann has a total of 1 + .5 + 1.5 dozen cookies = <<1+.5+1.5=3>>3 dozen cookies.
3 dozen cookies is 3 *12 cookies = <<3*12=36>>36 cookies remaining.
</think>

<answer>
36
</answer>

<think>
Ann had 3 dozen oatmeal cookies - 2 dozen = <<3-2=1>>1 dozen oatmeal cookies left.
Ann had 2 dozen sugar cookies - 1.5 dozen = <<2-1.5=.5>>.5 dozen sugar cookies left.
Ann had 4 dozen chocolate chip cookies - 2.5 dozen = 1.5 dozen chocolate chip cookies left.
Ann has a total of 1 + .5 + 1.5 dozen cookies = <<1+.5+1.5=3>>3 dozen cookies.
3 dozen cookies is 3 *12 cookies = <<3*12=36>>36 cookies remaining.
</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] Mckenna starts her day at 8:00 a.m. She works in her office up to 11:00 a.m. then joins her team of developers at the conference room to talk about projects up to 13:00, from which she works for another two hours and then heads home. How many hours does Mckenna stay at work?

[Assistant]
<think>
From 8:00 to 11:00, Mckenna spends 11:00-8:00 = 3 hours at work
When she joins the developers in the conference room for the meeting, she spends an additional 13:00-11:00 = 2 hours at work.
So far, she has spent 3+2 = <<3+2=5>>5 hours at work.
When she works for an additional 2 hours before heading home, her total work hours become 5+2 = <<5+2=7>>7 hours
</think>

<answer>
7
</answer>

<think>
From 8:00 to 11:00, Mckenna spends 11:00-8:00 = 3 hours at work
When she joins the developers in the conference room for the meeting, she spends an additional 13:00-11:00 = 2 hours at work.
So far, she has spent 3+2 = <<3+2=5>>5 hours at work.
When she works for an additional 2 hours before heading home, her total work hours become 5+2 = <<5+2=7>>7 hours
</think>

<answer>
7
</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 fox can run at the maximum speed of 50 kilometers per hour. Considering the fox would run at a constant speed, what distance would he make during 120 minutes?

[Assistant]
<think>
1 hour is 60 minutes, so 120 minutes is 120 / 60 = <<120/60=2>>2 hours.
During one hour a fox can make 50 kilometers, so during two hours, he would be able to run 50 * 2 = <<50*2=100>>100 kilometers.
</think>

<answer>
100
</answer>

<think>
1 hour is 60 minutes, so 120 minutes is 120 / 60 = <<120/60=2>>2 hours.
During one hour a fox can make 50 kilometers, so during two hours, he would be able to run 50 * 2 = <<50*2=100>>100 kilometers.
</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] There are 12 crates that each contain 150 oranges. There are 16 boxes that each hold 30 nectarines. How many pieces of fruit are in the crates and the boxes in total?

[Assistant]
<think>
Oranges = 12 * 150 = <<12*150=1800>>1800
Nectarines = 16 * 30 = <<16*30=480>>480
1800 + 480 = <<1800+480=2280>>2280
There are 2280 pieces of fruit in total.
</think>

<answer>
2280
</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 ratio of boys to girls in a family is 5:7. The total number of children in the family is 180. If the boys are given $3900 to share, how much money does each boy receive?

[Assistant]
<think>
The total ratio representing the number of children in the family is 5+7 = <<5+7=12>>12
From the total ratio of children in the family, 5/12 represent the number of boys, meaning that the number of boys in the family is 5/12*180 = <<5/12*180=75>>75
If the boys are given $3900 to share, each boy receives $3900/75 = $<<3900/75=52>>52
</think>

<answer>
52
</answer>

<think>
The total ratio representing the number of children in the family is 5+7 = <<5+7=12>>12
From the total ratio of children in the family, 5/12 represent the number of boys, meaning that the number of boys in the family is 5/12*180 = <<5/12*180=75>>75
If the boys are given $3900 to share, each boy receives $3900/75 = $<<3900/75=52>>52
</think>

<answer>
52
</answer>