[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] For a project, a builder purchased 7 boxes of bolts with each box containing 11 bolts.  He purchased 3 boxes of nuts with each box containing 15 nuts. He ended up finishing the project 6 days early and with 3 bolts and 6 nuts left over. How many bolts and nuts did he use for the project?

[Assistant]
<think>
The builder purchased 7 boxes * 11 bolts = <<7*11=77>>77 bolts.
He used 77 bolts - 3 left over = <<77-3=74>>74 bolts for the project.
The builder purchased 3 boxes * 15 nuts = <<3*15=45>>45 nuts.
He used 45 nuts - 6 left over = <<45-6=39>>39 nuts for the project.
Total for the project he used 74 bolts + 39 nuts = <<74+39=113>>113 nuts and bolts.
</think>

<answer>
113
</answer>

<think>
The builder purchased 7 boxes * 11 bolts = <<7*11=77>>77 bolts.
He used 77 bolts - 3 left over = <<77-3=74>>74 bolts for the project.
The builder purchased 3 boxes * 15 nuts = <<3*15=45>>45 nuts.
He used 45 nuts - 6 left over = <<45-6=39>>39 nuts for the project.
Total for the project he used 74 bolts + 39 nuts = <<74+39=113>>113 nuts and bolts.
</think>

<answer>
113
</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] Two vampires have come to the sleepy village of Willowton, population 300. Every night, each vampire turns 5 more people into vampires. How many vampires are there after two nights?

[Assistant]
<think>
First find the number of new vampires after one night: 5 people/vampire * 2 vampires = <<5*2=10>>10 people
Add that to the starting number of vampires to find the total number of vampires after one night: 10 vampires + 2 vampires = <<10+2=12>>12 vampires
Then find the number of new vampires on the second night: 5 people/vampire * 12 vampires = <<5*12=60>>60 people
Add that number to the starting number of vampires on the second night to find the total number of vampires after two nights: 60 vampires + 12 vampires = <<60+12=72>>72 vampires
</think>

<answer>
72
</answer>

<think>
First find the number of new vampires after one night: 5 people/vampire * 2 vampires = <<5*2=10>>10 people
Add that to the starting number of vampires to find the total number of vampires after one night: 10 vampires + 2 vampires = <<10+2=12>>12 vampires
Then find the number of new vampires on the second night: 5 people/vampire * 12 vampires = <<5*12=60>>60 people
Add that number to the starting number of vampires on the second night to find the total number of vampires after two nights: 60 vampires + 12 vampires = <<60+12=72>>72 vampires
</think>

<answer>
72
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Bobby needs to buy a new pair of fancy shoes.  He decides to go to a cobbler and get them handmade.  The cobbler charges $250 to make the mold.  He then charges $75 an hour for 8 hours to make the shoes.  The cobbler agrees to only charge 80% of the cost for work to make the shoes, since it is his first pair of shoes.  How much did Bobby pay?

[Assistant]
<think>
The cost of labor is 75*8=$<<75*8=600>>600
So Bobby pays 600*.8=$<<600*.8=480>>480
So that means Bobby pays 480+250=$<<480+250=730>>730
</think>

<answer>
730
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jack went to a supermarket with $100 and bought 4 bottles of water. Then his mother called him and asked him to buy twice as many bottles as he already bought. Each bottle cost $2. Finally, he also bought half a pound of cheese and 1 pound of cheese costs $10. How much money does Jack have remaining?

[Assistant]
<think>
Jack's mother asked him to buy 2 * 4 = <<2*4=8>>8 bottles of water.
Thus Jack bought 4 + 8 = <<4+8=12>>12 bottles of water in total.
Altogether, the bottles of water cost 12 * $2 = $<<12*2=24>>24.
The cheese cost 1/2 * $10 = $<<10*0.5=5>>5.
So Jack spent $24 + $5 = $<<24+5=29>>29 on water and cheese.
Since he started with $100, he now has $100 - $29 = $<<100-29=71>>71 left.
</think>

<answer>
71
</answer>

<think>
Jack's mother asked him to buy 2 * 4 = <<2*4=8>>8 bottles of water.
Thus Jack bought 4 + 8 = <<4+8=12>>12 bottles of water in total.
Altogether, the bottles of water cost 12 * $2 = $<<12*2=24>>24.
The cheese cost 1/2 * $10 = $<<10*0.5=5>>5.
So Jack spent $24 + $5 = $<<24+5=29>>29 on water and cheese.
Since he started with $100, he now has $100 - $29 = $<<100-29=71>>71 left.
</think>

<answer>
71
</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] Kyle is 5 years older than Julian. Julian is 20 years younger than Frederick. Frederick is 2 times older than Tyson. If Tyson is 20, how old is Kyle?

[Assistant]
<think>
Frederick is 20 * 2 = <<20*2=40>>40 years old
Julian is 40 - 20 = <<40-20=20>>20 years old
Kyle is 20 + 5 = <<20+5=25>>25 years old
</think>

<answer>
25
</answer>

<think>
Frederick is 20 * 2 = <<20*2=40>>40 years old
Julian is 40 - 20 = <<40-20=20>>20 years old
Kyle is 20 + 5 = <<20+5=25>>25 years old
</think>

<answer>
25
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Teddy has 7 dogs and 8 cats. Ben has 9 more dogs than Teddy, and Dave has 13 more cats and 5 less dogs than Teddy. How many pets do all of them have combined?

[Assistant]
<think>
Teddy has 7+8 = <<7+8=15>>15 pets in total.
Ben has 9+7 = <<9+7=16>>16 dogs, which means he has 16 pets in total.
Dave has 13+8 = <<13+8=21>>21 cats.
Dave has 7-5 = <<7-5=2>>2 dogs.
Dave has 21+2 = <<21+2=23>>23 pets in total.
Combined, they have 15+16+23 = <<15+16+23=54>>54 pets in total.
</think>

<answer>
54
</answer>

<think>
Teddy has 7+8 = <<7+8=15>>15 pets in total.
Ben has 9+7 = <<9+7=16>>16 dogs, which means he has 16 pets in total.
Dave has 13+8 = <<13+8=21>>21 cats.
Dave has 7-5 = <<7-5=2>>2 dogs.
Dave has 21+2 = <<21+2=23>>23 pets in total.
Combined, they have 15+16+23 = <<15+16+23=54>>54 pets in total.
</think>

<answer>
54
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Carrie wants to buy a new iPhone. The new iPhone costs $800. She can trade in her Samsung Galaxy for $240. She can make $80 per week babysitting. How many weeks does she have to work before she can purchase the iPhone?

[Assistant]
<think>
The total cost of the iPhone will cost Carrie $800 - $240 = $<<800-240=560>>560.
It will take her $560 / $80 = <<560/80=7>>7 weeks to earn enough money.
</think>

<answer>
7
</answer>

<think>
The total cost of the iPhone will cost Carrie $800 - $240 = $<<800-240=560>>560.
It will take her $560 / $80 = <<560/80=7>>7 weeks to earn enough money.
</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] Javier is an Olympic javelin thrower.  In the last Olympics, he threw the javelin three times.  The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw.  If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw?

[Assistant]
<think>
Let x be the distance he threw the javelin on the first throw.
Thus, the sum of his three throws is x+0.5x+2x=1050 meters.
Thus, 3.5x=1050.
And we find the distance he threw the javelin on the first throw is x=<<300=300>>300 meters.
</think>

<answer>
300
</answer>

<think>
Let x be the distance he threw the javelin on the first throw.
Thus, the sum of his three throws is x+0.5x+2x=1050 meters.
Thus, 3.5x=1050.
And we find the distance he threw the javelin on the first throw is x=<<300=300>>300 meters.
</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] Lavinia’s daughter is 10 years younger than Katie’s daughter. Lavinia’s son is 2 times the age of Katie’s daughter. If Katie’s daughter is 12 years old, how many years older is Lavinia’s son than Lavinia’s daughter?

[Assistant]
<think>
Lavinia’s daughter is 12 - 10 = <<12-10=2>>2 years old
Lavinia’s son is 12 * 2 = <<12*2=24>>24 years old
Lavinia’s son is 24 - 2 = <<24-2=22>>22 years older than Lavinia’s daughter.
</think>

<answer>
22
</answer>

<think>
Lavinia’s daughter is 12 - 10 = <<12-10=2>>2 years old
Lavinia’s son is 12 * 2 = <<12*2=24>>24 years old
Lavinia’s son is 24 - 2 = <<24-2=22>>22 years older than Lavinia’s daughter.
</think>

<answer>
22
</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 auto shop has a part that Clark needs for $80. Clark buys 7 of them and got a discount. If Clark only had to pay $439, how much was the discount?

[Assistant]
<think>
Originally the car parts would be a total of 80*7 = <<80*7=560>>560 dollars.
Clark got a discount for 560-439 = <<560-439=121>>121 dollars.
</think>

<answer>
121
</answer>

<think>
Originally the car parts would be a total of 80*7 = <<80*7=560>>560 dollars.
Clark got a discount for 560-439 = <<560-439=121>>121 dollars.
</think>

<answer>
121
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Kylie makes 10 beaded necklaces on Monday and 2 beaded necklaces on Tuesday. Then Kylie makes 5 beaded bracelets and 7 beaded earrings on Wednesday. 20 beads are needed to make one beaded necklace. 10 beads are needed to make one beaded bracelet. 5 beads are needed to make one beaded earring. How many beads does Kylie use in total to make her jewelry?

[Assistant]
<think>
Kylie makes 10 + 2 = <<10+2=12>>12 beaded necklaces
The number of beads used for the necklaces is 12 * 20 = <<12*20=240>>240 beads
The number of beads used for the bracelets is 5 * 10 = <<5*10=50>>50 beads
The number of beads used for the earrings is 7 * 5 = <<7*5=35>>35 beads
The total number of beads used is 240 + 50 + 35 = <<240+50+35=325>>325 beads
</think>

<answer>
325
</answer>

<think>
Kylie makes 10 + 2 = <<10+2=12>>12 beaded necklaces
The number of beads used for the necklaces is 12 * 20 = <<12*20=240>>240 beads
The number of beads used for the bracelets is 5 * 10 = <<5*10=50>>50 beads
The number of beads used for the earrings is 7 * 5 = <<7*5=35>>35 beads
The total number of beads used is 240 + 50 + 35 = <<240+50+35=325>>325 beads
</think>

<answer>
325
</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] Nick has 35 quarters.  2/5 of the quarters are state quarters, and 50 percent of the state quarters are Pennsylvania.  How many Pennsylvania state quarters does Nick have?

[Assistant]
<think>
State quarters:35(2/5)=14 quarters
Pennsylvania:14(.50)=7 quarters
</think>

<answer>
7
</answer>

<think>
State quarters:35(2/5)=14 quarters
Pennsylvania:14(.50)=7 quarters
</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] Henrietta is repainting her house. The walls in the living room take up 600 square feet. She has three bedrooms. The walls in each bedroom take up 400 square feet. If one gallon of paint can cover 600 square feet, how many gallons of paint does Henrietta need to paint her house?

[Assistant]
<think>
The total square footage from the three bedrooms is 3 * 400 = <<3*400=1200>>1200 square feet.
The total square footage of the house is 1200 + 600 = <<1200+600=1800>>1800 square feet
Henrietta needs 1800 / 600 = <<1800/600=3>>3 gallons of paint
</think>

<answer>
3
</answer>

<think>
The total square footage from the three bedrooms is 3 * 400 = <<3*400=1200>>1200 square feet.
The total square footage of the house is 1200 + 600 = <<1200+600=1800>>1800 square feet
Henrietta needs 1800 / 600 = <<1800/600=3>>3 gallons of paint
</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] The math questions in a contest are divided into three rounds: easy, average, and hard. There are corresponding points given for each round. That is 2, 3, and 5 points for every correct answer in the easy, average, and hard rounds, respectively. Suppose Kim got 6 correct answers in the easy; 2 correct answers in the average; and 4 correct answers in the difficult round, what are her total points in the contest?

[Assistant]
<think>
Kim got 6 points/round x 2 round = <<6*2=12>>12 points in the easy round.
She got 2 points/round x 3 rounds = <<2*3=6>>6 points in the average round.
She got 4 points/round x 5 rounds = <<4*5=20>>20 points in the difficult round.
So her total points is 12 points + 6 points + 20 points = <<12+6+20=38>>38 points.
</think>

<answer>
38
</answer>

<think>
Kim got 6 points/round x 2 round = <<6*2=12>>12 points in the easy round.
She got 2 points/round x 3 rounds = <<2*3=6>>6 points in the average round.
She got 4 points/round x 5 rounds = <<4*5=20>>20 points in the difficult round.
So her total points is 12 points + 6 points + 20 points = <<12+6+20=38>>38 points.
</think>

<answer>
38
</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 perimeter of a square-shaped piece of paper is 20 cm shorter than the height of a computer screen. How many cm is the height of the screen if the side of the square paper is 20 cm?

[Assistant]
<think>
The perimeter of a square is found by 4*side, which means the square paper has a perimeter of 4*20 = <<4*20=80>>80
Since the perimeter of the square is 20 cm shorter than the height of the computer screen, the height of the computer screen is 20+80 = <<20+80=100>>100cm.
</think>

<answer>
100
</answer>

<think>
The perimeter of a square is found by 4*side, which means the square paper has a perimeter of 4*20 = <<4*20=80>>80
Since the perimeter of the square is 20 cm shorter than the height of the computer screen, the height of the computer screen is 20+80 = <<20+80=100>>100cm.
</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] Tony wants to build the longest rope he possibly can, so he collects all the rope in his home. He finds an 8-foot rope, a 20-foot rope, three 2 foot ropes, and a 7-foot rope. each knot between the ropes makes him lose 1.2 foot per knot. How long is his rope when he's done tying them all together?

[Assistant]
<think>
The combined length of all the rope is 41 feet because 8 + 20 + (2 x 3) + 7 = <<8+20+(2*3)+7=41>>41
He loses 6 feet from the knots because 5 x 1.2 = <<5*1.2=6>>6
The final length is 35 feet because 41 - 6 = <<41-6=35>>35
</think>

<answer>
35
</answer>

<think>
The combined length of all the rope is 41 feet because 8 + 20 + (2 x 3) + 7 = <<8+20+(2*3)+7=41>>41
He loses 6 feet from the knots because 5 x 1.2 = <<5*1.2=6>>6
The final length is 35 feet because 41 - 6 = <<41-6=35>>35
</think>

<answer>
35
</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] Ben works 8-hour shifts in a furniture shop.  It takes him 5 hours to build 1 rocking chair.  How many chairs can he build in 10 days?

[Assistant]
<think>
He works 8 hours a day for 10 days means he works 8*10 = <<8*10=80>>80 hours
It takes him 5 hours to build one rocking chair so over 80 hours he builds 80/5 = <<80/5=16>>16 rocking chairs
</think>

<answer>
16
</answer>

<think>
He works 8 hours a day for 10 days means he works 8*10 = <<8*10=80>>80 hours
It takes him 5 hours to build one rocking chair so over 80 hours he builds 80/5 = <<80/5=16>>16 rocking chairs
</think>

<answer>
16
</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] Mason opens the hood of his car and discovers that squirrels have been using his engine compartment to store nuts. If 2 busy squirrels have been stockpiling 30 nuts/day and one sleepy squirrel has been stockpiling 20 nuts/day, all for 40 days, how many nuts are in Mason's car?

[Assistant]
<think>
First find the number of nuts the two busy squirrels gather per day: 2 squirrels * 30 nuts/day/squirrel = <<2*30=60>>60 nuts/day
Then add the number the sleepy squirrel gathers each day: 60 nuts/day + 20 nuts/day = <<60+20=80>>80 nuts/day
Then multiply the number of nuts gathered daily by the number of days to find the total number of nuts gathered: 80 nuts/day * 40 days = <<80*40=3200>>3200 nuts
</think>

<answer>
3200
</answer>

<think>
First find the number of nuts the two busy squirrels gather per day: 2 squirrels * 30 nuts/day/squirrel = <<2*30=60>>60 nuts/day
Then add the number the sleepy squirrel gathers each day: 60 nuts/day + 20 nuts/day = <<60+20=80>>80 nuts/day
Then multiply the number of nuts gathered daily by the number of days to find the total number of nuts gathered: 80 nuts/day * 40 days = <<80*40=3200>>3200 nuts
</think>

<answer>
3200
</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] Sandi had $600. She spent half of it at a farmer’s market. Gillian spent $150 more than three times Sandi's total. What is the total that Gillian spent at the farmer’s market?

[Assistant]
<think>
Sandi spent 600/2 = <<600/2=300>>300 dollars at the farmer’s market.
Gillian spent 300*3+150 = <<300*3+150=1050>>1050 dollars at the farmer’s market.
</think>

<answer>
1050
</answer>

<think>
Sandi spent 600/2 = <<600/2=300>>300 dollars at the farmer’s market.
Gillian spent 300*3+150 = <<300*3+150=1050>>1050 dollars at the farmer’s market.
</think>

<answer>
1050
</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] Troy had 300 straws. He fed 3/5 of the straws to the adult pigs and an equal number of straws to the piglets. If there were 20 piglets, how many straws did each piglet eat?

[Assistant]
<think>
The adult pigs ate 3/5*300 = <<3/5*300=180>>180 straws.
The total number of straws that the piglets shared is 300-180 = <<300-180=120>>120
Since there were 20 piglets, each piglet ate 120/20 = <<120/20=6>>6 straws
</think>

<answer>
6
</answer>

<think>
The adult pigs ate 3/5*300 = <<3/5*300=180>>180 straws.
The total number of straws that the piglets shared is 300-180 = <<300-180=120>>120
Since there were 20 piglets, each piglet ate 120/20 = <<120/20=6>>6 straws
</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] Margaux owns a money lending company. Her friend pays her $5 per day, her brother $8 per day, and her cousin $4 per day. How much money will she collect after 7 days?

[Assistant]
<think>
Her friend will pay $5 x 7 = $<<5*7=35>>35 after 7 days.
Her brother will pay $8 x 7 = $<<8*7=56>>56 after 7 days.
Her cousin will pay $4 x 7 = $<<4*7=28>>28 after 7 days.
Therefore, she will be able to collect $35 + $56 + $28 = $<<35+56+28=119>>119 after 7 days.
</think>

<answer>
119
</answer>

<think>
Her friend will pay $5 x 7 = $<<5*7=35>>35 after 7 days.
Her brother will pay $8 x 7 = $<<8*7=56>>56 after 7 days.
Her cousin will pay $4 x 7 = $<<4*7=28>>28 after 7 days.
Therefore, she will be able to collect $35 + $56 + $28 = $<<35+56+28=119>>119 after 7 days.
</think>

<answer>
119
</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] Audrey's key lime pie calls for 1/4 cup of key lime juice but she likes to double this amount to make it extra tart.  Each key lime yields 1 tablespoon of juice.  There are 16 tablespoons in 1 cup.  How many key limes does Audrey need?

[Assistant]
<think>
Her recipe calls for 1/4 cup of juice but she wants to double that so she needs 1/4+1/4 = 1/2 cup of lime juice
16 tablespoons are in 1 cup and she only needs 1/2 cup so she needs 16*.5 = <<16*.5=8>>8 tablespoons of juice
1 key lime yields 1 tablespoon of juice and she needs 8 tablespoons so she needs 1*8 = <<1*8=8>>8 key limes
</think>

<answer>
8
</answer>

<think>
Her recipe calls for 1/4 cup of juice but she wants to double that so she needs 1/4+1/4 = 1/2 cup of lime juice
16 tablespoons are in 1 cup and she only needs 1/2 cup so she needs 16*.5 = <<16*.5=8>>8 tablespoons of juice
1 key lime yields 1 tablespoon of juice and she needs 8 tablespoons so she needs 1*8 = <<1*8=8>>8 key limes
</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] Sue works in a factory and every 30 minutes, a machine she oversees produces 30 cans of soda. How many cans of soda can one machine produce in 8 hours?

[Assistant]
<think>
Since there are 2 sets of 30 minutes in an hour, then in 8 hours there are 8 x 2 = <<8*2=16>>16 sets of 30 minutes.
Hence, a machine that Sue oversees can produce 30 cans x 16 = <<30*16=480>>480 cans of soda in 8 hours.
</think>

<answer>
480
</answer>

<think>
Since there are 2 sets of 30 minutes in an hour, then in 8 hours there are 8 x 2 = <<8*2=16>>16 sets of 30 minutes.
Hence, a machine that Sue oversees can produce 30 cans x 16 = <<30*16=480>>480 cans of soda in 8 hours.
</think>

<answer>
480
</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 bus started its route. At its first stop, 7 people got on. At the second stop, 3 people got off, and 5 people got on. At the third stop, 2 people got off, and 4 people got on. How many passengers are now on the bus?

[Assistant]
<think>
There are 7 people on the bus after the first stop.
There are 7+5-3=<<7+5-3=9>>9 people on the bus after the second stop.
There are 9+4-2=<<9+4-2=11>>11 people on the bus after the third stop.
11 passengers are now on the bus.
</think>

<answer>
11
</answer>

<think>
There are 7 people on the bus after the first stop.
There are 7+5-3=<<7+5-3=9>>9 people on the bus after the second stop.
There are 9+4-2=<<9+4-2=11>>11 people on the bus after the third stop.
11 passengers are now on the bus.
</think>

<answer>
11
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] A store received 20 pallets of paper products to stock. Half the pallets were paper towels, a quarter were tissues, and a fifth were paper plates. The rest were paper cups. How many pallets of paper cups did the store receive?

[Assistant]
<think>
The store received 20 / 2 = <<20/2=10>>10 pallets of paper towels.
They received 20 / 4 = <<20/4=5>>5 pallets of tissues.
They received 20 / 5 = <<20/5=4>>4 pallets of paper plates.
Thus, the store received 20 - 10 - 5 - 4 = <<20-10-5-4=1>>1 pallet of paper cups.
</think>

<answer>
1
</answer>

<think>
The store received 20 / 2 = <<20/2=10>>10 pallets of paper towels.
They received 20 / 4 = <<20/4=5>>5 pallets of tissues.
They received 20 / 5 = <<20/5=4>>4 pallets of paper plates.
Thus, the store received 20 - 10 - 5 - 4 = <<20-10-5-4=1>>1 pallet of paper cups.
</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] John runs a telethon to raise money.  For the first 12 hours, he generates $5000 per hour.  The remaining 14 hours, he generates 20% more per hour.  How much total money does he make?

[Assistant]
<think>
He gets 12*5000=$<<12*5000=60000>>60000 for the first 12 hours
For the next 14 hours, he gets 5000*.2=$<<5000*.2=1000>>1000 more per hour
So he gets 5000+1000=$<<5000+1000=6000>>6000 per hour
So he gets 6000*14=$<<6000*14=84000>>84000
So in total, he makes 84000+60000=$<<84000+60000=144000>>144,000
</think>

<answer>
144000
</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 compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs.

[Assistant]
<think>
There are twice as many frogs as dogs in the compound, meaning there are 160/2 = <<160/2=80>>80 dogs.
The total number of frogs and dogs in the compound is 80+160 = <<80+160=240>>240
The number of cats is less than 20% of the number of dogs, which means there are 20/100*80 = <<20/100*80=16>>16 dogs more than the number of cats.
Therefore, the number of cats is 80-16 = <<80-16=64>>64 cats
The total number of animals in the compound is 64 cats +240 dogs and frogs = <<64+240=304>>304 animals.
</think>

<answer>
304
</answer>

<think>
There are twice as many frogs as dogs in the compound, meaning there are 160/2 = <<160/2=80>>80 dogs.
The total number of frogs and dogs in the compound is 80+160 = <<80+160=240>>240
The number of cats is less than 20% of the number of dogs, which means there are 20/100*80 = <<20/100*80=16>>16 dogs more than the number of cats.
Therefore, the number of cats is 80-16 = <<80-16=64>>64 cats
The total number of animals in the compound is 64 cats +240 dogs and frogs = <<64+240=304>>304 animals.
</think>

<answer>
304
</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 buys 1/2 gallon jugs of cold brew coffee every 4 days.  How many cups of coffee does he drink a day?

[Assistant]
<think>
He drinks 128/2 = <<128/2=64>>64 ounces of coffee every 4 days
That means he drinks 64/4 = <<64/4=16>>16 ounces of coffee a day
So he drinks 16/8 = <<16/8=2>>2 cups a day
</think>

<answer>
2
</answer>

<think>
He drinks 128/2 = <<128/2=64>>64 ounces of coffee every 4 days
That means he drinks 64/4 = <<64/4=16>>16 ounces of coffee a day
So he drinks 16/8 = <<16/8=2>>2 cups a day
</think>

<answer>
2
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] It took an alligator named Paul 4 hours to walk from his home at the River Nile to the Nile Delta.  On the return journey, Paul traveled with six other alligators, the journey taking 2 more hours than Paul took to walk to the Nile Delta, to reach their home at the River Nile. What's the combined time the alligators walked?

[Assistant]
<think>
If on the return journey to its home, the alligator took 2 more hours than it took to travel to the Nile Delta, Paul took 4+2=<<4+2=6>>6 hours to travel back to its home.
The total time Paul took to travel from its home to the Nile Delta and back is 6+4=<<6+4=10>>10
On his return journey, Paul traveled with six other alligators, and since each alligator traveled for six hours up the Nile to their home, they took a total of 6*6=<<6*6=36>>36 hours to do so.
Together with Paul, all the alligators took 10+36=<<10+36=46>>46 hours traveling between Nile Delta and up the Nile.
</think>

<answer>
46
</answer>

<think>
If on the return journey to its home, the alligator took 2 more hours than it took to travel to the Nile Delta, Paul took 4+2=<<4+2=6>>6 hours to travel back to its home.
The total time Paul took to travel from its home to the Nile Delta and back is 6+4=<<6+4=10>>10
On his return journey, Paul traveled with six other alligators, and since each alligator traveled for six hours up the Nile to their home, they took a total of 6*6=<<6*6=36>>36 hours to do so.
Together with Paul, all the alligators took 10+36=<<10+36=46>>46 hours traveling between Nile Delta and up the Nile.
</think>

<answer>
46
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Betty picked 16 strawberries. Matthew picked 20 more strawberries than Betty and twice as many as Natalie. They used their strawberries to make jam. One jar of jam used 7 strawberries and they sold each jar at $4. How much money were they able to make from the strawberries they picked?

[Assistant]
<think>
Matthew picked 16 + 20 = <<16+20=36>>36 strawberries.
Natalie picked 36/2 = <<36/2=18>>18 strawberries.
All together, they have 16 + 36 + 18 = <<16+36+18=70>>70 strawberries.
They can make 70/7 = <<70/7=10>>10 jars of strawberries.
They earn 10 x $4 = $<<10*4=40>>40 from the strawberries they picked.
</think>

<answer>
40
</answer>

<think>
Matthew picked 16 + 20 = <<16+20=36>>36 strawberries.
Natalie picked 36/2 = <<36/2=18>>18 strawberries.
All together, they have 16 + 36 + 18 = <<16+36+18=70>>70 strawberries.
They can make 70/7 = <<70/7=10>>10 jars of strawberries.
They earn 10 x $4 = $<<10*4=40>>40 from the strawberries they picked.
</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] A trader made a profit of $960 after a week of sales. To raise $610 to pay for her next shipment of wares, she splits the profit in half and solicits donations from her family and friends. If she received a total donation of $310 and adds it to one-half of her profit, how much money did she make above her goal?

[Assistant]
<think>
She splits her $960 profit in half to get $960 / 2 = $<<960/2=480>>480.
She receives a total donation of $310, so she now has $310 + $480 = $<<310+480=790>>790.
She needed only $610 so she has $790 - $610 = $180 more than she needs.
</think>

<answer>
180
</answer>

<think>
She splits her $960 profit in half to get $960 / 2 = $<<960/2=480>>480.
She receives a total donation of $310, so she now has $310 + $480 = $<<310+480=790>>790.
She needed only $610 so she has $790 - $610 = $180 more than she needs.
</think>

<answer>
180
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] There are six more white birds next to a cage than grey birds in the cage. If the number of grey birds in the cage is 40, and after ten minutes, half of the birds in the cage are freed and fly away, calculate the total number of birds remaining.

[Assistant]
<think>
If the number of grey birds is 40, there are 40+6 = <<40+6=46>>46 white birds near the cage.
When half of the grey birds fly away, the number that remains is 1/2*40 = <<1/2*40=20>>20
The total number of birds is 20+46 = <<20+46=66>>66 in and next to the cage.
</think>

<answer>
66
</answer>

<think>
If the number of grey birds is 40, there are 40+6 = <<40+6=46>>46 white birds near the cage.
When half of the grey birds fly away, the number that remains is 1/2*40 = <<1/2*40=20>>20
The total number of birds is 20+46 = <<20+46=66>>66 in and next to the cage.
</think>

<answer>
66
</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 sixty bulb watt uses 60 watts of power each day. If Allyn has 40 such bulbs in his house and pays an electricity bill of twenty cents per power watt used, calculate Allyn's total monthly expenses on electricity in June.

[Assistant]
<think>
If each bulb uses 60 watts each day, the 40 bulbs that Allyn has uses 60*40 = <<60*40=2400>>2400 watts of power each day.
In June, with 30 days, the bulbs will use 30*2400 = <<30*2400=72000>>72000 watts of power.
If Allyn is charged an electricity bill of twenty cents per power watt used, in June she will pay 72000*$0.20 = $<<72000*0.20=14400>>14400
</think>

<answer>
14400
</answer>

<think>
If each bulb uses 60 watts each day, the 40 bulbs that Allyn has uses 60*40 = <<60*40=2400>>2400 watts of power each day.
In June, with 30 days, the bulbs will use 30*2400 = <<30*2400=72000>>72000 watts of power.
If Allyn is charged an electricity bill of twenty cents per power watt used, in June she will pay 72000*$0.20 = $<<72000*0.20=14400>>14400
</think>

<answer>
14400
</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 age difference between Asaf and Alexander's age is half the total number of pencils Asaf has. The sum of their ages is 140, and Asaf is 50 years old. If Alexander has 60 more pencils than Asaf, calculate the total number of pencils they have together.

[Assistant]
<think>
If the sum of their ages is 140, and Asaf is 50 years old, Alexander is 140-50 = <<140-50=90>>90 years old.
The age difference between Asaf and Alexander's age is 90-50 = <<90-50=40>>40
Since the age difference between Asaf and Alexander's age is half the total number of pencils Asaf has, Asaf has 2*40 = <<2*40=80>>80 pencils.
If Alexander has 60 more pencils than Asaf, Alexander has 80+60= <<60+80=140>>140 pencils.
Together, they have 140 + 80 = <<140+80=220>>220 pencils
</think>

<answer>
220
</answer>

<think>
If the sum of their ages is 140, and Asaf is 50 years old, Alexander is 140-50 = <<140-50=90>>90 years old.
The age difference between Asaf and Alexander's age is 90-50 = <<90-50=40>>40
Since the age difference between Asaf and Alexander's age is half the total number of pencils Asaf has, Asaf has 2*40 = <<2*40=80>>80 pencils.
If Alexander has 60 more pencils than Asaf, Alexander has 80+60= <<60+80=140>>140 pencils.
Together, they have 140 + 80 = <<140+80=220>>220 pencils
</think>

<answer>
220
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jason is climbing a telephone pole next to a tree his friend Matt is climbing. Matt can climb 6 feet/minute and Jason can climb 12 feet per minute. After 7 minutes, how much higher will Jason be than Matt?

[Assistant]
<think>
First find the distance Matt climbs in 7 minutes: 6 feet/minute * 7 minutes = <<6*7=42>>42 feet
Then find the distance Jason climbs in 7 minutes: 12 feet/minute * 7 minutes = <<12*7=84>>84 feet
Then subtract the distance Matt climbs from the distance Jason climbs to find the difference: 84 feet - 42 feet = <<84-42=42>>42 feet
</think>

<answer>
42
</answer>

<think>
First find the distance Matt climbs in 7 minutes: 6 feet/minute * 7 minutes = <<6*7=42>>42 feet
Then find the distance Jason climbs in 7 minutes: 12 feet/minute * 7 minutes = <<12*7=84>>84 feet
Then subtract the distance Matt climbs from the distance Jason climbs to find the difference: 84 feet - 42 feet = <<84-42=42>>42 feet
</think>

<answer>
42
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] The house is 20.5 feet by 10 feet. The porch measures 6 feet by 4.5 feet. The house and the porch need shingles. How many square feet of shingles will be needed to roof the house and the porch?

[Assistant]
<think>
House = 20.5 * 10 = <<20.5*10=205>>205 square feet
Porch = 6 * 4.5 = <<6*4.5=27>>27 square feet
205 + 27 = <<205+27=232>>232 square feet
232 square feet of shingles will be needed.
</think>

<answer>
232
</answer>

<think>
House = 20.5 * 10 = <<20.5*10=205>>205 square feet
Porch = 6 * 4.5 = <<6*4.5=27>>27 square feet
205 + 27 = <<205+27=232>>232 square feet
232 square feet of shingles will be needed.
</think>

<answer>
232
</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] Aisha enjoys listening to music on her mp3 player. She starts with 500 songs on her mp3 player, then adds another 500 the week after that. She realizes her mp3 player has a large capacity for storing songs so she adds twice the amount she already had on her mp3 player. After a while, though, she decides that she doesn't like 50 of the songs and removes them. How many songs are on Aisha's mp3 player now?

[Assistant]
<think>
Aisha starts with 500 songs + 500 songs = <<500+500=1000>>1000 songs added to her mp3 player in the first two weeks.
After that Aisha adds twice that amount to her mp3 player, 1000 x 2 = <<1000*2=2000>>2000 songs added.
She now has 1000 + 2000 = <<1000+2000=3000>>3000 songs on her mp3 player.
However, she decides she wants to remove 50 of them, 3000 - 50 = <<3000-50=2950>>2950 songs on her mp3 player.
</think>

<answer>
2,950
</answer>

<think>
Aisha starts with 500 songs + 500 songs = <<500+500=1000>>1000 songs added to her mp3 player in the first two weeks.
After that Aisha adds twice that amount to her mp3 player, 1000 x 2 = <<1000*2=2000>>2000 songs added.
She now has 1000 + 2000 = <<1000+2000=3000>>3000 songs on her mp3 player.
However, she decides she wants to remove 50 of them, 3000 - 50 = <<3000-50=2950>>2950 songs on her mp3 player.
</think>

<answer>
2,950
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Betty is planning to host her friends over for a party. She buys drinks, cakes, and ice creams at a unit cost of $2, $10, and $5 respectively. How much does she spend if she buys 10 drinks, 5 cakes, and 100 ice creams?

[Assistant]
<think>
The amount she spends on buying drinks is $2*10= $<<2*10=20>>20.
The amount she spends on buying cakes is $10*5= $<<10*5=50>>50.
The amount she spends on buying ice creams is $5*100=$<<5*100=500>>500.
The total amount she spends is $20+$50+$500=$<<20+50+500=570>>570
</think>

<answer>
570
</answer>

<think>
The amount she spends on buying drinks is $2*10= $<<2*10=20>>20.
The amount she spends on buying cakes is $10*5= $<<10*5=50>>50.
The amount she spends on buying ice creams is $5*100=$<<5*100=500>>500.
The total amount she spends is $20+$50+$500=$<<20+50+500=570>>570
</think>

<answer>
570
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] There were 90 people at the summer picnic.  There were 50 soda cans, 50 plastic bottles of sparkling water, and 50 glass bottles of juice.  One-half of the guests drank soda, one-third of the guests drank sparkling water, and four-fifths of the juices were consumed.  How many recyclable cans and bottles were collected?

[Assistant]
<think>
The soda cans were consumed by 90 / 2 = <<90/2=45>>45 guests.
The sparkling water was consumed by 90 / 3 = <<90/3=30>>30 guests.
The juice bottles were consumed by 4/5 x 50 = <<4/5*50=40>>40 guests
In total there are 45 + 30 + 40 = <<45+30+40=115>>115 recyclable cans and bottles.
</think>

<answer>
115
</answer>

<think>
The soda cans were consumed by 90 / 2 = <<90/2=45>>45 guests.
The sparkling water was consumed by 90 / 3 = <<90/3=30>>30 guests.
The juice bottles were consumed by 4/5 x 50 = <<4/5*50=40>>40 guests
In total there are 45 + 30 + 40 = <<45+30+40=115>>115 recyclable cans and bottles.
</think>

<answer>
115
</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] Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them?

[Assistant]
<think>
In her old company, if she worked for three years, the total number of months she was paid for is 3 years*12, which is the number of months in a year = <<3*12=36>>36 months.
If each month she was paid $5000, her total earnings in the old company were $5000* 36 =$<<5000*36=180000>>180000
In her new company, she is paid 20% more, which is 20/100*$5000 = $<<20/100*5000=1000>>1000 per month more than what she was paid at the old company.
In total, she earns $5000+$1000 = $<<5000+1000=6000>>6000 per month in her new company.
Since she's worked five months more in the new company than the old company, she has worked for 36+5 = <<36+5=41>>41 months in the new company.
The total amount she's earned in the new company is $6000*41 = $<<6000*41=246000>>246000
The combined total for both companies is $246000+$180000 = $<<246000+180000=426000>>426000
</think>

<answer>
426000
</answer>

<think>
In her old company, if she worked for three years, the total number of months she was paid for is 3 years*12, which is the number of months in a year = <<3*12=36>>36 months.
If each month she was paid $5000, her total earnings in the old company were $5000* 36 =$<<5000*36=180000>>180000
In her new company, she is paid 20% more, which is 20/100*$5000 = $<<20/100*5000=1000>>1000 per month more than what she was paid at the old company.
In total, she earns $5000+$1000 = $<<5000+1000=6000>>6000 per month in her new company.
Since she's worked five months more in the new company than the old company, she has worked for 36+5 = <<36+5=41>>41 months in the new company.
The total amount she's earned in the new company is $6000*41 = $<<6000*41=246000>>246000
The combined total for both companies is $246000+$180000 = $<<246000+180000=426000>>426000
</think>

<answer>
426000
</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 has to get a new blanket.  He decides to have a 7 foot by 8-foot quilt made.  The quilt costs $40 per square foot.  How much does his quilt cost?

[Assistant]
<think>
The quilt is 7*8=<<7*8=56>>56 square feet
So it cost 40*56=<<40*56=2240>>2240
</think>

<answer>
2240
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] There are 8 loads of laundry that need to be washed. Each load of laundry takes around 45 minutes to complete in the wash cycle and 1 hour in the dry cycle. How long, in hours, will it take to complete the entire set of laundry?

[Assistant]
<think>
Each load takes 60 + 45 = <<60+45=105>>105 minutes
There are 8 loads that take 8*105=<<8*105=840>>840 minutes
It takes 840/60=<<840/60=14>>14 hours
</think>

<answer>
14
</answer>

<think>
Each load takes 60 + 45 = <<60+45=105>>105 minutes
There are 8 loads that take 8*105=<<8*105=840>>840 minutes
It takes 840/60=<<840/60=14>>14 hours
</think>

<answer>
14
</answer>