[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 4 puppies and 3 dogs at a camp. Each dog eats twice as much food as a puppy, but each puppy eats three times as often as a dog. If a dog eats 4 pounds of food three times a day, what would be the total amount of food the dogs and puppies eat in a day?

[Assistant]
<think>
Eating three times a day, a dog eats 3*4=<<3*4=12>>12 pounds of food.
Since there are 3 dogs at the camp, the total amount of food they eat is 3*12=<<3*12=36>>36 pounds of food in a day.
If each dog eats twice as much food as a puppy, a puppy will eat 4/2=<<4/2=2>>2 pounds of food in one meal.
Each puppy eats three times as often as a dog, and if a dog eats three times in a day, a puppy will eat 3*3= <<3*3=9>>9 times in a day.
Since a puppy eats 2 pounds of food a day, the total amount of food a puppy will eat in a day is 9*2=<<9*2=18>>18 pounds of food.
Four puppies in the camp eat 18*4=<<18*4=72>>72 pounds of food every day.
Together, the dogs and the puppies eat 72+36=<<72+36=108>>108 pounds of food in a day.
</think>

<answer>
108
</answer>

<think>
Eating three times a day, a dog eats 3*4=<<3*4=12>>12 pounds of food.
Since there are 3 dogs at the camp, the total amount of food they eat is 3*12=<<3*12=36>>36 pounds of food in a day.
If each dog eats twice as much food as a puppy, a puppy will eat 4/2=<<4/2=2>>2 pounds of food in one meal.
Each puppy eats three times as often as a dog, and if a dog eats three times in a day, a puppy will eat 3*3= <<3*3=9>>9 times in a day.
Since a puppy eats 2 pounds of food a day, the total amount of food a puppy will eat in a day is 9*2=<<9*2=18>>18 pounds of food.
Four puppies in the camp eat 18*4=<<18*4=72>>72 pounds of food every day.
Together, the dogs and the puppies eat 72+36=<<72+36=108>>108 pounds of food in a day.
</think>

<answer>
108
</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] Heloise has dogs and cats in the ratio of 10:17, with the total number of pets being 189. If she gives 10 dogs to her friend Janet, how many dogs does she remain with altogether?

[Assistant]
<think>
The total ratio for the number of cats and dogs that Heloise has is 10+17 = <<10+17=27>>27
From the ratios, the fraction representing the number of dogs is 10/27, and this represents 10/27*189 = <<10/27*189=70>>70 dogs.
If Heloise gives 10 of her dogs to Janet, she remains with 70-10 = <<70-10=60>>60 dogs.
</think>

<answer>
60
</answer>

<think>
The total ratio for the number of cats and dogs that Heloise has is 10+17 = <<10+17=27>>27
From the ratios, the fraction representing the number of dogs is 10/27, and this represents 10/27*189 = <<10/27*189=70>>70 dogs.
If Heloise gives 10 of her dogs to Janet, she remains with 70-10 = <<70-10=60>>60 dogs.
</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] Antonio is preparing a meal of spaghetti and meatballs for his family.  His recipe for meatballs calls for 1/8 of a pound of hamburger per meatball.  Antonio has 8 family members, including himself.  If he uses 4 pounds of hamburger to make meatballs, and each member of the family eats an equal number of meatballs, how many meatballs will Antonio eat?

[Assistant]
<think>
If one meatball is made from 1/8 pound of hamburger meat, then 4 pounds of hamburger meat will make 4/(1/8)=4*8=<<4/(1/8)=32>>32 meatballs.
32 meatballs divided amongst 8 family members is 32/8=<<32/8=4>>4 meatballs per family member.
</think>

<answer>
4
</answer>

<think>
If one meatball is made from 1/8 pound of hamburger meat, then 4 pounds of hamburger meat will make 4/(1/8)=4*8=<<4/(1/8)=32>>32 meatballs.
32 meatballs divided amongst 8 family members is 32/8=<<32/8=4>>4 meatballs per family member.
</think>

<answer>
4
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Randy has $30. He spent $10 buying his lunch. He spent a quarter of the money he had left on an ice cream cone. What is the amount of money, in dollars, Randy has left?

[Assistant]
<think>
Randy has 30-10=<<30-10=20>>20 dollars left after buying lunch.
Randy spent 20/4=<<20/4=5>>5 dollars on the ice cream cone.
Randy has 20-5=<<20-5=15>>15 dollars left.
</think>

<answer>
15
</answer>

<think>
Randy has 30-10=<<30-10=20>>20 dollars left after buying lunch.
Randy spent 20/4=<<20/4=5>>5 dollars on the ice cream cone.
Randy has 20-5=<<20-5=15>>15 dollars left.
</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] In 5 years, Andy will be twice as old as Rahim is now. Rahim is 6 now. How much older is Andy than Rahim, right now, in years?

[Assistant]
<think>
Andy will be 2*6=<<2*6=12>>12.
Now he is 12-5=<<12-5=7>>7.
So Andy is 7-6=<<7-6=1>>1 year older than Rahim.
</think>

<answer>
1
</answer>

<think>
Andy will be 2*6=<<2*6=12>>12.
Now he is 12-5=<<12-5=7>>7.
So Andy is 7-6=<<7-6=1>>1 year older than Rahim.
</think>

<answer>
1
</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 a show, there can be 5 actors at a time. Every actor is in the show for about 15 minutes, and then another 5 actors come in. How many actors can there be on the show in 1 hour?

[Assistant]
<think>
One hour is 60 minutes, so there can be 60 / 15 = <<60/15=4>>4 different sets of actors.
This means, that during one hour there can be 4 * 5 = <<4*5=20>>20 different actors in the show.
</think>

<answer>
20
</answer>

<think>
One hour is 60 minutes, so there can be 60 / 15 = <<60/15=4>>4 different sets of actors.
This means, that during one hour there can be 4 * 5 = <<4*5=20>>20 different actors in the show.
</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] Kurt's old refrigerator cost $0.85 a day in electricity.  He recently bought a new energy-efficient refrigerator that only cost $0.45 a day in electricity.  How much money does Kurt save in a 30-day month with his new refrigerator?

[Assistant]
<think>
The old refrigerator costs $0.85 a day so for 30 days it costs .85*30 = $<<0.85*30=25.50>>25.50
The new refrigerator costs $0.45 a day so for 30 days it costs .45*30 =$<<0.45*30=13.50>>13.50
Over 30 days, Kurt saves 25.50-13.50 = $<<25.50-13.50=12.00>>12.00 a month with his new refrigerator
</think>

<answer>
12
</answer>

<think>
The old refrigerator costs $0.85 a day so for 30 days it costs .85*30 = $<<0.85*30=25.50>>25.50
The new refrigerator costs $0.45 a day so for 30 days it costs .45*30 =$<<0.45*30=13.50>>13.50
Over 30 days, Kurt saves 25.50-13.50 = $<<25.50-13.50=12.00>>12.00 a month with his new refrigerator
</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] While cultivating a small farm, a farmer spent $50 on corn seeds, $35 on fertilizers and pesticides, and $15 on labor. After a successful harvest, he was able to gather 10 bags of corn. How much should he sell each bag, if he wants to make a profit of 10%?

[Assistant]
<think>
His total expenditure so far is $50+$35+$15 = $<<50+35+15=100>>100
To make a profit of 10%, he has to make a total of $100+($100*(10/100) = $<<100+(100*(10/100))=110>>110 from sales
To make $110 from the sales of 10 bags, each bag should cost $110/10 = $<<110/10=11>>11
</think>

<answer>
11
</answer>

<think>
His total expenditure so far is $50+$35+$15 = $<<50+35+15=100>>100
To make a profit of 10%, he has to make a total of $100+($100*(10/100) = $<<100+(100*(10/100))=110>>110 from sales
To make $110 from the sales of 10 bags, each bag should cost $110/10 = $<<110/10=11>>11
</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] On a farm, on average every 6 cows produce 108 liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm?

[Assistant]
<think>
Per week, one cow produces 108 liters / 6 cows = <<108/6=18>>18 liters/cow.
The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters/cow = <<2160/18=120>>120 cows.
Further, we have to divide 120 cows / 5 weeks = <<120/5=24>>24 cows.
</think>

<answer>
24
</answer>

<think>
Per week, one cow produces 108 liters / 6 cows = <<108/6=18>>18 liters/cow.
The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters/cow = <<2160/18=120>>120 cows.
Further, we have to divide 120 cows / 5 weeks = <<120/5=24>>24 cows.
</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] A hot air balloon with 200 balloons is blowing up. After about half an hour, 1/5 of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact?

[Assistant]
<think>
After half an hour, the number of balloons that had blown up is 1/5*200 = <<1/5*200=40>>40
The number of balloons that haven't blown up so far is 200-40 = <<200-40=160>>160
In the next hour, 2*40 = <<2*40=80>>80 balloons blow up.
The number of balloons that haven't blown up now is 160-80 = <<160-80=80>>80
</think>

<answer>
80
</answer>

<think>
After half an hour, the number of balloons that had blown up is 1/5*200 = <<1/5*200=40>>40
The number of balloons that haven't blown up so far is 200-40 = <<200-40=160>>160
In the next hour, 2*40 = <<2*40=80>>80 balloons blow up.
The number of balloons that haven't blown up now is 160-80 = <<160-80=80>>80
</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] Viviana has five more chocolate chips than Susana, while Susana has 3/4 as many vanilla chips as Viviana. If Viviana has 20 Vanilla chips and Susana 25 chocolate chips, calculate the total number of chips they have together.

[Assistant]
<think>
Viviana has 20 Vanilla chips.
Susana has 25 chocolate chips.
Viviana has 25+5 = <<25+5=30>>30 chocolate chips.
Susana has 3/4*20 = <<3/4*20=15>>15 Vanilla chips.
They have 30+25 = <<30+25=55>>55 chocolate chips together.
Together they have 20+15 = <<20+15=35>>35 vanilla chips.
Together they have 35+55 = <<35+55=90>>90 chips
</think>

<answer>
90
</answer>

<think>
Viviana has 20 Vanilla chips.
Susana has 25 chocolate chips.
Viviana has 25+5 = <<25+5=30>>30 chocolate chips.
Susana has 3/4*20 = <<3/4*20=15>>15 Vanilla chips.
They have 30+25 = <<30+25=55>>55 chocolate chips together.
Together they have 20+15 = <<20+15=35>>35 vanilla chips.
Together they have 35+55 = <<35+55=90>>90 chips
</think>

<answer>
90
</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 a card game, you are awarded 10 points if you win one round. While playing, Jane ends up with 60 points. If she lost 20 points, then how many rounds did she play?

[Assistant]
<think>
If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60+20 = <<60+20=80>>80 points.
If each round is awarded 10 points, then the number of rounds will be 80/10 = <<80/10=8>>8 rounds.
</think>

<answer>
8
</answer>

<think>
If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60+20 = <<60+20=80>>80 points.
If each round is awarded 10 points, then the number of rounds will be 80/10 = <<80/10=8>>8 rounds.
</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] In a jar that has 50 ants, the number of ants in the jar doubles each hour. How many ants will be in the jar after 5 hours?

[Assistant]
<think>
After first hour, 50 * 2 = <<50*2=100>>100 ants.
After the second hour, 100 * 2 = <<100*2=200>>200 ants.
After the third hour, 200 * 2 = <<200*2=400>>400 ants.
After the fourth hour, 400 * 2 = <<400*2=800>>800 ants.
After the fifth hour, 800 * 2 = <<800*2=1600>>1600 ants.
</think>

<answer>
1600
</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] Eugene built a model house out of toothpicks and a deck of playing cards.  For every card, he used 75 toothpicks.  The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house.  If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?

[Assistant]
<think>
If Eugene used all but 16 of the 52 cards, then he used 52-16=<<52-16=36>>36 cards.
If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450/75=<<450/75=6>>6 cards.
Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36/6=<<36/6=6>>6 boxes of toothpicks.
</think>

<answer>
6
</answer>

<think>
If Eugene used all but 16 of the 52 cards, then he used 52-16=<<52-16=36>>36 cards.
If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450/75=<<450/75=6>>6 cards.
Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36/6=<<36/6=6>>6 boxes of toothpicks.
</think>

<answer>
6
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jeff committed to run for an hour a day during weekdays. On Thursday, he cut short his run by 20 minutes but was able to jog 10 minutes more on Friday. How many minutes was he able to run for that week?

[Assistant]
<think>
Jeff was able to run a total of 60 x 3 = <<60*3=180>>180 minutes from Monday to Wednesday.
On Thursday, Jeff ran for 60 - 20 = <<60-20=40>>40 minutes only.
On Friday, he ran for 60 + 10 = <<60+10=70>>70 minutes.
Therefore, Jeff ran a total of 180 + 40 + 70 = <<180+40+70=290>>290 minutes.
</think>

<answer>
290
</answer>

<think>
Jeff was able to run a total of 60 x 3 = <<60*3=180>>180 minutes from Monday to Wednesday.
On Thursday, Jeff ran for 60 - 20 = <<60-20=40>>40 minutes only.
On Friday, he ran for 60 + 10 = <<60+10=70>>70 minutes.
Therefore, Jeff ran a total of 180 + 40 + 70 = <<180+40+70=290>>290 minutes.
</think>

<answer>
290
</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] Noemi lost $400 on roulette and $500 on blackjack. How much money did Noemi begin with if she still had $800 in her purse?

[Assistant]
<think>
The total amount of money that she lost is $400+$500 = $<<400+500=900>>900
If she remained with $900, she initially had $900+$800 = $<<900+800=1700>>1700
</think>

<answer>
1700
</answer>

<think>
The total amount of money that she lost is $400+$500 = $<<400+500=900>>900
If she remained with $900, she initially had $900+$800 = $<<900+800=1700>>1700
</think>

<answer>
1700
</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 has some money in his piggy bank. He spends 2 dollars every time he goes to the store. He makes 4 trips to the store every month. If he had $104 dollars left in his piggy bank after a year, how much money, in dollars, did he have at first?

[Assistant]
<think>
Randy spends 2*4=<<2*4=8>>8 dollars every month.
Randy spends 8*12=<<8*12=96>>96 dollars in a year.
Randy had 96+104=<<96+104=200>>200 dollars in his piggy bank at first.
</think>

<answer>
200
</answer>

<think>
Randy spends 2*4=<<2*4=8>>8 dollars every month.
Randy spends 8*12=<<8*12=96>>96 dollars in a year.
Randy had 96+104=<<96+104=200>>200 dollars in his piggy bank at first.
</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] At the bookstore, Sarah bought 6 paperback books and 4 hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total?

[Assistant]
<think>
Her brother bought 6/3=<<6/3=2>>2 paperbacks
He bought 4*2=<<4*2=8>>8 hardbacks
In total he bought 2+8=<<2+8=10>>10 books
</think>

<answer>
10
</answer>

<think>
Her brother bought 6/3=<<6/3=2>>2 paperbacks
He bought 4*2=<<4*2=8>>8 hardbacks
In total he bought 2+8=<<2+8=10>>10 books
</think>

<answer>
10
</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] It is recommended that men should consume no more than 150 calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by 100%, how many bars of candy did he take?

[Assistant]
<think>
He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = <<2500*(5/100)=125>>125 calories of added sugar.
He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $<<150+(150*100/100)=300>>300
This means he took in 300-125 = <<300-125=175>>175 calories from candy alone
Each candy had 25 calories so 175 calories which means he consumed 175/25 = <<175/25=7>>7 bars?
</think>

<answer>
7
</answer>

<think>
He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = <<2500*(5/100)=125>>125 calories of added sugar.
He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $<<150+(150*100/100)=300>>300
This means he took in 300-125 = <<300-125=175>>175 calories from candy alone
Each candy had 25 calories so 175 calories which means he consumed 175/25 = <<175/25=7>>7 bars?
</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] The gummy bear factory manufactures 300 gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes?

[Assistant]
<think>
The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = <<300/50=6>>6 packets of gummy bears per minute.
It would take 240 / 6 = <<240/6=40>>40 minutes to manufacture enough gummy bears to fill 240 packets.
</think>

<answer>
40
</answer>

<think>
The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = <<300/50=6>>6 packets of gummy bears per minute.
It would take 240 / 6 = <<240/6=40>>40 minutes to manufacture enough gummy bears to fill 240 packets.
</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] Earl has $90; Fred has $48; Greg has $36. Earl owes Fred $28. Fred owes Greg $32. Greg owes Earl $40. When all debts are paid, how much will Greg and Earl have together in dollars?

[Assistant]
<think>
Earl will have $90 - $28 = $<<90-28=62>>62 after paying off his debt to Fred.
Fred will have $48 + $28 = $<<48+28=76>>76 after being paid by Earl.
But then Fred will have $76 - $32 = $<<76-32=44>>44 after paying Greg.
Greg will have $36 + $32 = $<<36+32=68>>68 after Fred paid him.
Then, Greg will have $68 - $40 = $<<68-40=28>>28 after paying off his debt to Earl.
Then, Earl will then have $62 + $40 = $<<62+40=102>>102.
So together, Greg and Earl will have $28 + $102 = $<<28+102=130>>130.
</think>

<answer>
130
</answer>

<think>
Earl will have $90 - $28 = $<<90-28=62>>62 after paying off his debt to Fred.
Fred will have $48 + $28 = $<<48+28=76>>76 after being paid by Earl.
But then Fred will have $76 - $32 = $<<76-32=44>>44 after paying Greg.
Greg will have $36 + $32 = $<<36+32=68>>68 after Fred paid him.
Then, Greg will have $68 - $40 = $<<68-40=28>>28 after paying off his debt to Earl.
Then, Earl will then have $62 + $40 = $<<62+40=102>>102.
So together, Greg and Earl will have $28 + $102 = $<<28+102=130>>130.
</think>

<answer>
130
</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 dental office gives away 2 toothbrushes to every patient who visits.  His 8 hour days are packed and each visit takes .5 hours.  How many toothbrushes does he give in a 5 day work week?

[Assistant]
<think>
Each day he does 8/.5=<<8/.5=16>>16 visits
So he does 16*5=<<16*5=80>>80 visits a week
That means he gives away 80*2=<<80*2=160>>160 toothbrushes a week
</think>

<answer>
160
</answer>

<think>
Each day he does 8/.5=<<8/.5=16>>16 visits
So he does 16*5=<<16*5=80>>80 visits a week
That means he gives away 80*2=<<80*2=160>>160 toothbrushes a week
</think>

<answer>
160
</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] 5 squirrels collected 575 acorns. If each squirrel needs 130 acorns to get through the winter, how many more acorns does each squirrel need to collect?

[Assistant]
<think>
Each squirrel now has 575/5 = <<575/5=115>>115 acorns.
Each squirrel still needs to collect another 130 - 115 = <<130-115=15>>15 acorns.
</think>

<answer>
15
</answer>

<think>
Each squirrel now has 575/5 = <<575/5=115>>115 acorns.
Each squirrel still needs to collect another 130 - 115 = <<130-115=15>>15 acorns.
</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] In a class of 25 students, students were asked if they like French fries, burgers, or neither. 15 students said they like French fries and 10 said they like burgers, with these statistics including the responses of 6 students who said they like both French fries and burgers. How many students do not like either food?

[Assistant]
<think>
There are 15 - 6 = <<15-6=9>>9 students who like French fries only.
There are 10 - 6 = <<10-6=4>>4 students who like burgers only.
So, 9 + 4 + 6 = <<9+4+6=19>>19 students like either French fries, burgers, or both.
Hence, 25 - 19 = <<25-19=6>>6 students do not like either fries or burgers.
</think>

<answer>
6
</answer>

<think>
There are 15 - 6 = <<15-6=9>>9 students who like French fries only.
There are 10 - 6 = <<10-6=4>>4 students who like burgers only.
So, 9 + 4 + 6 = <<9+4+6=19>>19 students like either French fries, burgers, or both.
Hence, 25 - 19 = <<25-19=6>>6 students do not like either fries or burgers.
</think>

<answer>
6
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] A coffee shop brews 10 coffee cups per hour on a weekday and 120 coffee cups in total over the weekend. If the coffee shop is open 5 hours a day every single day, how many coffee cups are brewed in 1 week?

[Assistant]
<think>
On a weekday, the shop produces 10 coffee cups per hour * 5 hours per weekday = <<10*5=50>>50 coffee cups.
The coffee shop therefore brewed 50 coffee cups per day * 5 weekdays in a week = <<50*5=250>>250 coffee cups.
So in total, the coffee shop brewed a total of 250 weekday coffee cups + 120 weekend coffee cups = <<250+120=370>>370 coffee cups in 1 week.
</think>

<answer>
370
</answer>

<think>
On a weekday, the shop produces 10 coffee cups per hour * 5 hours per weekday = <<10*5=50>>50 coffee cups.
The coffee shop therefore brewed 50 coffee cups per day * 5 weekdays in a week = <<50*5=250>>250 coffee cups.
So in total, the coffee shop brewed a total of 250 weekday coffee cups + 120 weekend coffee cups = <<250+120=370>>370 coffee cups in 1 week.
</think>

<answer>
370
</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] Jenny has a tummy ache. Her brother Mike says that it is because Jenny ate 5 more than thrice the number of chocolate squares that he ate.  If Mike ate 20 chocolate squares, how many did Jenny eat?

[Assistant]
<think>
Thrice the number of chocolate squares that Mike ate is 20 squares * 3 = <<20*3=60>>60 squares.
Jenny therefore ate 60 squares + 5 squares = <<60+5=65>>65 chocolate squares
</think>

<answer>
65
</answer>

<think>
Thrice the number of chocolate squares that Mike ate is 20 squares * 3 = <<20*3=60>>60 squares.
Jenny therefore ate 60 squares + 5 squares = <<60+5=65>>65 chocolate squares
</think>

<answer>
65
</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 is retrieving the notes on a communal board, putting all of the red notes in the complaints bin and all of the blue notes in the compliments bin. The red notes were in 5 rows with 6 notes in each row. There are 2 blue notes under each of the red notes, as well as another 10 blue notes scattered at the bottom of the board. How many notes in total are put into the complaints and compliments bins?

[Assistant]
<think>
There are a total of 5 rows of red notes * 6 notes per row = <<5*6=30>>30 red notes on the board.
There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes.
With the other blue notes at the bottom of the board, there are a total of 60 + 10 = <<60+10=70>>70 blue notes.
So in total, there are 30 red notes + 70 blue notes = <<30+70=100>>100 notes in total.
</think>

<answer>
100
</answer>

<think>
There are a total of 5 rows of red notes * 6 notes per row = <<5*6=30>>30 red notes on the board.
There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes.
With the other blue notes at the bottom of the board, there are a total of 60 + 10 = <<60+10=70>>70 blue notes.
So in total, there are 30 red notes + 70 blue notes = <<30+70=100>>100 notes in total.
</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] Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?

[Assistant]
<think>
Bob runs .1 miles per minute because 6 / 60 = <<6/60=.1>>.1
Jim run at .15 miles per minute 9 / 60 = <<9/60=.15>>.15
We know that .1(Number of Minutes) + 1 = .15(Number of Minutes)
Therefore 1 = .05(Number of minutes)
Therefore (Number of minutes) = 20 because 1 / .05 = <<1/.05=20>>20
</think>

<answer>
20
</answer>

<think>
Bob runs .1 miles per minute because 6 / 60 = <<6/60=.1>>.1
Jim run at .15 miles per minute 9 / 60 = <<9/60=.15>>.15
We know that .1(Number of Minutes) + 1 = .15(Number of Minutes)
Therefore 1 = .05(Number of minutes)
Therefore (Number of minutes) = 20 because 1 / .05 = <<1/.05=20>>20
</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 flagpole is 12 feet tall. It breaks, folding over in half, such that what was the tip of the flagpole is now dangling two feet above the ground. How far from the base, in feet, did the flagpole break?

[Assistant]
<think>
The break occurred (12-2)/2=5 feet from the top.
Then it was 12-5=<<12-5=7>>7 feet from the base.
</think>

<answer>
7
</answer>

<think>
The break occurred (12-2)/2=5 feet from the top.
Then it was 12-5=<<12-5=7>>7 feet from the base.
</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] Paige bought some new stickers and wanted to share them with 3 of her friends. She decided to share a sheet of 100 space stickers and a sheet of 50 cat stickers equally among her 3 friends. How many stickers will she have left?

[Assistant]
<think>
Paige has 100 space stickers that she is dividing among 3 friends, so 100 stickers / 3 friends = 33 stickers for each friend, with 1 remaining.
She also has 50 cat stickers that she is diving among 3 friends, so 50 stickers / 3 friends = 16 stickers for each friend, with 2 remaining.
So Paige will have 1 remaining space sticker + 2 remaining cat stickers = <<1+2=3>>3 stickers left.
</think>

<answer>
3
</answer>

<think>
Paige has 100 space stickers that she is dividing among 3 friends, so 100 stickers / 3 friends = 33 stickers for each friend, with 1 remaining.
She also has 50 cat stickers that she is diving among 3 friends, so 50 stickers / 3 friends = 16 stickers for each friend, with 2 remaining.
So Paige will have 1 remaining space sticker + 2 remaining cat stickers = <<1+2=3>>3 stickers left.
</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] Matthew, the baker, arrives at work early every morning to make his famous caramel-apple coffee cakes for the day.  It usually takes Matthew 1 hour to assemble ingredients, 1.5 hours to bake the cakes, and another 1 hour to decorate each cake with cinnamon sprinkles.  One day, Matthew's oven failed to reach the correct temperature and it took twice as long for the cakes to bake as they usually take.  On that day, how long did it take, in hours, for Matthew to make his famous caramel-apple coffee cakes?

[Assistant]
<think>
Twice 1.5 hours is 2*1.5=<<2*1.5=3>>3 hours.
Thus, on that day, it took Matthew 1+3+1=<<1+3+1=5>>5 hours to make the cakes.
</think>

<answer>
5
</answer>

<think>
Twice 1.5 hours is 2*1.5=<<2*1.5=3>>3 hours.
Thus, on that day, it took Matthew 1+3+1=<<1+3+1=5>>5 hours to make the cakes.
</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] In 2021, Wayne is 37 years old.  His brother Peter is 3 years older than him and their sister Julia is 2 years older than Peter.  What year was Julia born in?

[Assistant]
<think>
Peter is 3 years older than Wayne who is 37 so Peter is 37+3 = <<37+3=40>>40 years old
Julia is 2 years older than Peter who is 40 so Julia is 2+40 = <<2+40=42>>42 years old
It's 2021 and Julia is 42 years old so she was born in 2021-42 = <<2021-42=1979>>1979
</think>

<answer>
1979
</answer>

<think>
Peter is 3 years older than Wayne who is 37 so Peter is 37+3 = <<37+3=40>>40 years old
Julia is 2 years older than Peter who is 40 so Julia is 2+40 = <<2+40=42>>42 years old
It's 2021 and Julia is 42 years old so she was born in 2021-42 = <<2021-42=1979>>1979
</think>

<answer>
1979
</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 decided to buy 10 pins for himself.  They are normally $20 each but they were on sale for 15% off.  How much did he spend on pins?

[Assistant]
<think>
The sell reduced the price of each pin by 20*.15=$<<20*.15=3>>3
So he paid 20-3=$<<20-3=17>>17 per pin
So the total cost was 17*10=$<<17*10=170>>170
</think>

<answer>
170
</answer>

<think>
The sell reduced the price of each pin by 20*.15=$<<20*.15=3>>3
So he paid 20-3=$<<20-3=17>>17 per pin
So the total cost was 17*10=$<<17*10=170>>170
</think>

<answer>
170
</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] Apple and peach trees are planted in the orchard of the Grange Poser farm. The orchard has 30 apple trees that each give 150 kg of apples and 45 peach trees that each produce an average of 65 kg of fruit. What is the total mass of fruit harvested in this orchard?

[Assistant]
<think>
Let’s first calculate what the apple trees produce: 30 trees * 150 kg/tree = <<30*150=4500>>4500 kg
Then let's calculate what the peaches produce: 45 trees * 65 kg/tree = <<45*65=2925>>2925 kg
We add these two masses: 4500 kg + 2925 kg = <<4500+2925=7425>>7425 kg
</think>

<answer>
7425
</answer>

<think>
Let’s first calculate what the apple trees produce: 30 trees * 150 kg/tree = <<30*150=4500>>4500 kg
Then let's calculate what the peaches produce: 45 trees * 65 kg/tree = <<45*65=2925>>2925 kg
We add these two masses: 4500 kg + 2925 kg = <<4500+2925=7425>>7425 kg
</think>

<answer>
7425
</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] Winston has 14 quarters. He then spends half a dollar on candy. How many cents does he have left?

[Assistant]
<think>
Winston has 350 cents because 14 x 25 = <<14*25=350>>350
He spends 50 cents because $1 / 2 = 50 cents
He has 300 cents left at the end.
</think>

<answer>
300
</answer>

<think>
Winston has 350 cents because 14 x 25 = <<14*25=350>>350
He spends 50 cents because $1 / 2 = 50 cents
He has 300 cents left at the end.
</think>

<answer>
300
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] To get the printer to work, Jerry needs to add a black-and-white cartridge and three color cartridges. If each color cartridge costs $32 and each black-and-white cartridge costs $27, how much does he pay total?

[Assistant]
<think>
First find the total cost of the color cartridges: $32/cartridge * 3 cartridges = $<<32*3=96>>96
Then add the cost of the black-and-white cartridge to find the total cost: $96 + $27 = $<<96+27=123>>123
</think>

<answer>
123
</answer>

<think>
First find the total cost of the color cartridges: $32/cartridge * 3 cartridges = $<<32*3=96>>96
Then add the cost of the black-and-white cartridge to find the total cost: $96 + $27 = $<<96+27=123>>123
</think>

<answer>
123
</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 choir was singing a song that involved 30 singers. In the first verse, only half of them sang. In the second verse, a third of the remaining singers joined in. How many people joined in the final third verse that the whole choir sang together?

[Assistant]
<think>
In the first verse, 30 / 2 = <<30/2=15>>15 singers sang.
In the second verse, 15 / 3 = <<15/3=5>>5 singers joined in.
In the final verse, 30 - 15 - 5 = <<30-15-5=10>>10 singers joined for the whole choir to sing together.
</think>

<answer>
10
</answer>

<think>
In the first verse, 30 / 2 = <<30/2=15>>15 singers sang.
In the second verse, 15 / 3 = <<15/3=5>>5 singers joined in.
In the final verse, 30 - 15 - 5 = <<30-15-5=10>>10 singers joined for the whole choir to sing together.
</think>

<answer>
10
</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] Kimberly went strawberry picking with her family over the weekend. She picked 8 times the amount of strawberries her brother picked and her parents picked 93 strawberries less than her. If her brother picked 3 baskets each containing 15 strawberries, how many strawberries would they each have if they divide the total number of strawberries equally amongst them?

[Assistant]
<think>
Kimberly's brother picked 3 x 15 = <<3*15=45>>45 strawberries.
Kimberly picked 8 x 45 = <<8*45=360>>360 strawberries.
Kimberly's parents picked 360 - 93 = <<360-93=267>>267 strawberries.
Altogether, they picked 45 + 360 + 267 = <<45+360+267=672>>672 strawberries.
Each of them will have 672/4 = <<672/4=168>>168 strawberries.
</think>

<answer>
168
</answer>

<think>
Kimberly's brother picked 3 x 15 = <<3*15=45>>45 strawberries.
Kimberly picked 8 x 45 = <<8*45=360>>360 strawberries.
Kimberly's parents picked 360 - 93 = <<360-93=267>>267 strawberries.
Altogether, they picked 45 + 360 + 267 = <<45+360+267=672>>672 strawberries.
Each of them will have 672/4 = <<672/4=168>>168 strawberries.
</think>

<answer>
168
</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] Santino has 2 papaya trees and 3 mango trees. If each papaya tree produces 10 papayas and each mango tree produces 20 mangos, how many fruits does Santino have in total?

[Assistant]
<think>
Santino has 2 * 10 = <<2*10=20>>20 papaya fruits
Santino has 3 * 20 = <<3*20=60>>60 mango fruits
In total, Santino has 20 + 60 = <<20+60=80>>80 fruits
</think>

<answer>
80
</answer>

<think>
Santino has 2 * 10 = <<2*10=20>>20 papaya fruits
Santino has 3 * 20 = <<3*20=60>>60 mango fruits
In total, Santino has 20 + 60 = <<20+60=80>>80 fruits
</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] Jake amasses a fortune of 80 bitcoin.  He donates 20 bitcoins to charity.  He then gives half of all the bitcoins to his brother.  After that, he triples the number of bitcoins he has.  Then he donates another 10 coins.  How many coins does he have?

[Assistant]
<think>
He had 80-20=<<80-20=60>>60 after the donation
He kept 60/2=<<60/2=30>>30 after giving half to his brother
So he has 30*3=<<30*3=90>>90 coins
He then does 1 more donation and has 90-10=<<90-10=80>>80 coins left
</think>

<answer>
80
</answer>

<think>
He had 80-20=<<80-20=60>>60 after the donation
He kept 60/2=<<60/2=30>>30 after giving half to his brother
So he has 30*3=<<30*3=90>>90 coins
He then does 1 more donation and has 90-10=<<90-10=80>>80 coins left
</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] Mr. John jogs for 1 hour 30 minutes in the morning every day. How much time (in hours) will he have spent jogging after two weeks?

[Assistant]
<think>
There are 60 minutes in an hour so 1 hour 30 minutes is equivalent to [1 + (30/60)] hours = <<1.5=1.5>>1.5 hours
There are 7 days in a week so he spends 1.5*7 = <<7*1.5=10.5>>10.5 hours jogging every week
After 2 weeks he will have spent 2*10.5 = <<2*10.5=21>>21 hours jogging.
</think>

<answer>
21
</answer>

<think>
There are 60 minutes in an hour so 1 hour 30 minutes is equivalent to [1 + (30/60)] hours = <<1.5=1.5>>1.5 hours
There are 7 days in a week so he spends 1.5*7 = <<7*1.5=10.5>>10.5 hours jogging every week
After 2 weeks he will have spent 2*10.5 = <<2*10.5=21>>21 hours jogging.
</think>

<answer>
21
</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 loves to see shows in theaters. He decided to visit the theater at least once a week. One performance lasts 3 hours. The price of the ticket depends on the time spent in the theater and stands at $5 for each hour. How much will Mark spend on visits to the theater in 6 weeks?

[Assistant]
<think>
The price of one performance is 3 * $5 = $<<3*5=15>>15.
Mark intends to go to the theater once a week, so in 9 weeks he will spend 6 * $15 = $<<6*15=90>>90.
</think>

<answer>
90
</answer>

<think>
The price of one performance is 3 * $5 = $<<3*5=15>>15.
Mark intends to go to the theater once a week, so in 9 weeks he will spend 6 * $15 = $<<6*15=90>>90.
</think>

<answer>
90
</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] An unusual bicycle has 20 spokes on the front wheel and twice as many spokes on the back wheel. How many spokes does the bicycle have?

[Assistant]
<think>
The back wheel has double the spokes the front wheel has, which means the back wheel has 20*2=<<20*2=40>>40 spokes.
In total, the bicycle has 20+40=<<20+40=60>>60 spokes.
</think>

<answer>
60
</answer>

<think>
The back wheel has double the spokes the front wheel has, which means the back wheel has 20*2=<<20*2=40>>40 spokes.
In total, the bicycle has 20+40=<<20+40=60>>60 spokes.
</think>

<answer>
60
</answer>