[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 box is 8 inches in height, 10 inches in width, and 12 inches in length. A wooden building block is 3 inches in height, 2 inches in width, and 4 inches in length. How many building blocks can fit into the box?

[Assistant]
<think>
The volume of the box is 8 x 10 x 12 = <<8*10*12=960>>960 cu in.
The volume of a wooden block is 3 x 2 x 4 = <<3*2*4=24>>24 cu in.
960/24 = <<960/24=40>>40 wooden blocks can fit into the box.
</think>

<answer>
40
</answer>

<think>
The volume of the box is 8 x 10 x 12 = <<8*10*12=960>>960 cu in.
The volume of a wooden block is 3 x 2 x 4 = <<3*2*4=24>>24 cu in.
960/24 = <<960/24=40>>40 wooden blocks can fit into the box.
</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] Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles?

[Assistant]
<think>
When Bella buys 2/5 times more marbles, she'll have increased the number of marbles by 2/5*60 = <<2/5*60=24>>24
The total number of marbles she'll have is 60+24 = <<60+24=84>>84
If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60/2 = <<60/2=30>>30 frisbees.
If Bella buys 2/5 times more frisbees, she'll have 2/5*30 = <<2/5*30=12>>12 more frisbees.
The total number of frisbees she'll have will increase to 30+12 = <<30+12=42>>42
Bella also has 20 more frisbees than deck cards, meaning she has 30-20 = <<20-10=10>>10 deck cards
If she buys 2/5 times more deck cards, she'll have 2/5*10 = <<2/5*10=4>>4 more deck cards.
The total number of deck cards she'll have is 10+4 = <<10+4=14>>14
Together, Bella will have a total of 14+42+84 = <<14+42+84=140>>140 items
</think>

<answer>
140
</answer>

<think>
When Bella buys 2/5 times more marbles, she'll have increased the number of marbles by 2/5*60 = <<2/5*60=24>>24
The total number of marbles she'll have is 60+24 = <<60+24=84>>84
If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60/2 = <<60/2=30>>30 frisbees.
If Bella buys 2/5 times more frisbees, she'll have 2/5*30 = <<2/5*30=12>>12 more frisbees.
The total number of frisbees she'll have will increase to 30+12 = <<30+12=42>>42
Bella also has 20 more frisbees than deck cards, meaning she has 30-20 = <<20-10=10>>10 deck cards
If she buys 2/5 times more deck cards, she'll have 2/5*10 = <<2/5*10=4>>4 more deck cards.
The total number of deck cards she'll have is 10+4 = <<10+4=14>>14
Together, Bella will have a total of 14+42+84 = <<14+42+84=140>>140 items
</think>

<answer>
140
</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] Gracie was 7 inches shorter than Grayson. Grayson was 2 inches taller than Griffin. Griffin is 61 inches tall. How many inches tall is Gracie?

[Assistant]
<think>
Grayson = 61 + 2 = <<61+2=63>>63 inches
Gracie = 63 - 7 = <<63-7=56>>56 inches
Gracie is 56 inches tall.
</think>

<answer>
56
</answer>

<think>
Grayson = 61 + 2 = <<61+2=63>>63 inches
Gracie = 63 - 7 = <<63-7=56>>56 inches
Gracie is 56 inches tall.
</think>

<answer>
56
</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] 3/5 of the mangoes on a mango tree are ripe. If Lindsay eats 60% of the ripe mangoes, calculate the number of ripe mangoes remaining if there were 400 mangoes on the tree to start with.

[Assistant]
<think>
The number of ripe mangoes from the tree is 3/5*400 = <<3/5*400=240>>240
If Lindsay eats 60% of the ripe mangoes, she eats 60/100*240 = <<60/100*240=144>>144 mangoes.
The total number of ripe mangoes remaining is 240-144 =<<240-144=96>>96
</think>

<answer>
96
</answer>

<think>
The number of ripe mangoes from the tree is 3/5*400 = <<3/5*400=240>>240
If Lindsay eats 60% of the ripe mangoes, she eats 60/100*240 = <<60/100*240=144>>144 mangoes.
The total number of ripe mangoes remaining is 240-144 =<<240-144=96>>96
</think>

<answer>
96
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Harris feeds his dog 1 large organic carrot over the course of 1 day.  There are 5 carrots in a 1 pound bag and each bag costs $2.00.  In one year, how much will Harris spend on carrots?

[Assistant]
<think>
His dog gets 1 carrot a day and there are 365 days in a year, so his dog eats 1*365 = <<1*365=365>>365 carrots
There are 5 carrots per bag and he will need 365 carrots, so that's 365/5 = 73 bags of carrots
The bags cost $2.00 and he will need 73 bags so that's $2*73 = $<<2*73=146.00>>146.00 worth of organic carrots
</think>

<answer>
146
</answer>

<think>
His dog gets 1 carrot a day and there are 365 days in a year, so his dog eats 1*365 = <<1*365=365>>365 carrots
There are 5 carrots per bag and he will need 365 carrots, so that's 365/5 = 73 bags of carrots
The bags cost $2.00 and he will need 73 bags so that's $2*73 = $<<2*73=146.00>>146.00 worth of organic carrots
</think>

<answer>
146
</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] Ping pong balls sell for $.10 each.  Johnny buys 10000 for a prank.  He gets a 30% discount for buying in such large bulk.  How much does he pay?

[Assistant]
<think>
The ping pong balls cost 10000*.10=$<<10000*.10=1000>>1000
So the discount is 1000*.30=$<<1000*.30=300>>300
So he pays 1000-300=$<<1000-300=700>>700.
</think>

<answer>
700
</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 parking garage near Nora's house is 4 stories tall. There are 100 spots per level. There are 58 open parking spots on the first level. There are 2 more open parking spots on the second level than on the first level, and there are 5 more open parking spots on the third level than on the second level. There are 31 open parking spots on the fourth level. How many full parking spots are there in all?

[Assistant]
<think>
There are 4 levels * 100 spots = <<4*100=400>>400 possible parking spots.
The second level has 58 open spots + 2 = <<58+2=60>>60 open spots.
The third level has 60 open spots + 5 = <<60+5=65>>65 open spots.
Total open spots are 58 + 60 + 65 + 31 = <<58+60+65+31=214>>214 open spots.
If there are 400 possible spots – 214 open spots = <<400-214=186>>186 full spots.
</think>

<answer>
186
</answer>

<think>
There are 4 levels * 100 spots = <<4*100=400>>400 possible parking spots.
The second level has 58 open spots + 2 = <<58+2=60>>60 open spots.
The third level has 60 open spots + 5 = <<60+5=65>>65 open spots.
Total open spots are 58 + 60 + 65 + 31 = <<58+60+65+31=214>>214 open spots.
If there are 400 possible spots – 214 open spots = <<400-214=186>>186 full spots.
</think>

<answer>
186
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Andy is a lawyer who's working on two lawsuits. The first lawsuit has a 30% chance of paying out $5,000,000 upon a win and $0 if he loses it. The second lawsuit has a 50% chance of paying out $1,000,000 if Andy loses and a 50% chance of paying out $2,000,000 if he wins.  Expressed as a percentage, how much more likely is it that Andy loses both lawsuits compared to winning both of them?

[Assistant]
<think>
First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70%
Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35%
Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15%
Then subtract the probability Andy wins both lawsuits from the probability he loses both lawsuits to find the difference: 35% - 15% = 20%
</think>

<answer>
20
</answer>

<think>
First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70%
Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35%
Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15%
Then subtract the probability Andy wins both lawsuits from the probability he loses both lawsuits to find the difference: 35% - 15% = 20%
</think>

<answer>
20
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] John needs to take 2 pills a day.  One pill costs $1.5.  The insurance covers 40% of the cost.  How much does he pay in a 30-day month?

[Assistant]
<think>
It cost 2*1.5=$<<2*1.5=3>>3 a day.
So it cost 3*30=$<<3*30=90>>90 per day.
Insurance covers 90*.4=$<<90*.4=36>>36.
So he pays 90-36=$<<90-36=54>>54 a month.
</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] Mr. Caiden wants to do repairs to his house and requires 300 feet of metal roofing to do this. If each foot of roofing costs $8, and the supplier of the metal roofing brings in 250 feet of metal roofing for free, how much money is Mr. Caiden required to pay for the remaining metal roofing?

[Assistant]
<think>
The supplier brought 300 ft - 250 ft = <<300-250=50>>50 fewer feet of metal roofing.
Therefore the total amount of money Mr. Caiden has to pay for the remaining metal roofings is 50 feet * $8/foot = $<<50*8=400>>400
</think>

<answer>
400
</answer>

<think>
The supplier brought 300 ft - 250 ft = <<300-250=50>>50 fewer feet of metal roofing.
Therefore the total amount of money Mr. Caiden has to pay for the remaining metal roofings is 50 feet * $8/foot = $<<50*8=400>>400
</think>

<answer>
400
</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] Belinda can throw a ball at a speed of 20 feet/second. If the ball flies for 8 seconds before hitting the ground, and Belinda's border collie can run 5 feet/second, how many seconds will it take the border collie to catch up to the ball?

[Assistant]
<think>
First find the total distance the ball flies: 20 feet/second * 8 seconds = <<20*8=160>>160 feet
Then divide that distance by the dog's speed to find how long it takes the dog to catch up to the ball: 160 feet / 5 feet/second = <<160/5=32>>32 seconds
</think>

<answer>
32
</answer>

<think>
First find the total distance the ball flies: 20 feet/second * 8 seconds = <<20*8=160>>160 feet
Then divide that distance by the dog's speed to find how long it takes the dog to catch up to the ball: 160 feet / 5 feet/second = <<160/5=32>>32 seconds
</think>

<answer>
32
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Bart buys $10 of notepads for $1.25 each.  They have 60 pages each.  How many pages did he buy?

[Assistant]
<think>
He buys 10/1.25=<<10/1.25=8>>8 notepads
That means he buys 8*60=<<8*60=480>>480 pages
</think>

<answer>
480
</answer>

<think>
He buys 10/1.25=<<10/1.25=8>>8 notepads
That means he buys 8*60=<<8*60=480>>480 pages
</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] Cecil has $600. Catherine has $250 less than twice as much as Cecil while Carmela has $50 more than twice Cecil's money. How much money do they have altogether?

[Assistant]
<think>
Twice as much as Cecil's money is $600 x 2 = $<<600*2=1200>>1200.
So, Catherine has $1200 - $250 = $<<1200-250=950>>950.
While Carmela has $1200 + $50 = $<<1200+50=1250>>1250.
Hence, they have a total of $600 + $950 + $1250 = $<<600+950+1250=2800>>2800.
</think>

<answer>
2800
</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] Fernanda purchased six audiobooks from Audible to listen to from her audible app. If each audiobook was 30 hours long and she listened to 2 hours of an audiobook each day, calculate the total time it took her to finish the six audiobooks?

[Assistant]
<think>
To finish an audiobook 30 hours long, listening to 2 hours of each audiobook a day, Fernanda took 30 hours / 2 hours/day =<<30/2=15>>15 days to finish one audiobook.
If she purchased 6 audiobooks, the total number of days she will take to finish all the audiobooks is 6 audiobooks * 15 days/audiobook = <<6*15=90>>90 days
</think>

<answer>
90
</answer>

<think>
To finish an audiobook 30 hours long, listening to 2 hours of each audiobook a day, Fernanda took 30 hours / 2 hours/day =<<30/2=15>>15 days to finish one audiobook.
If she purchased 6 audiobooks, the total number of days she will take to finish all the audiobooks is 6 audiobooks * 15 days/audiobook = <<6*15=90>>90 days
</think>

<answer>
90
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Roe saved $10 per month from January to July and saved $15 per month from August to November. How much should she save in December so she will have a total savings of $150 in the year?

[Assistant]
<think>
Since there are 7 months from January to July, then Roe's savings for those months sum up to $10 x 7 = $<<7*10=70>>70.
Since there are 4 months from August to November, then her savings for those months sum up to $15 x 4 = $<<4*15=60>>60.
Her total savings from January to November is $70 + $60 = $<<70+60=130>>130.
Therefore, she needs to save $150 - $130 = $<<150-130=20>>20 in December.
</think>

<answer>
20
</answer>

<think>
Since there are 7 months from January to July, then Roe's savings for those months sum up to $10 x 7 = $<<7*10=70>>70.
Since there are 4 months from August to November, then her savings for those months sum up to $15 x 4 = $<<4*15=60>>60.
Her total savings from January to November is $70 + $60 = $<<70+60=130>>130.
Therefore, she needs to save $150 - $130 = $<<150-130=20>>20 in December.
</think>

<answer>
20
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Julia has $40. She spends half of her money to buy a new game for her phone. She spends a quarter of what she has left on in-game purchases. How much money does she have left?

[Assistant]
<think>
Julia spend $40 / 2 = $<<40/2=20>>20 on the game.
After buying the game, she has $40 - $20 = $<<40-20=20>>20 left.
She spent $20 / 4 = $<<20/4=5>>5 on in-game purchases.
She has $20 - $5 = $<<20-5=15>>15 left.
</think>

<answer>
15
</answer>

<think>
Julia spend $40 / 2 = $<<40/2=20>>20 on the game.
After buying the game, she has $40 - $20 = $<<40-20=20>>20 left.
She spent $20 / 4 = $<<20/4=5>>5 on in-game purchases.
She has $20 - $5 = $<<20-5=15>>15 left.
</think>

<answer>
15
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Grace can read a 200-page book in 20 hours. How long would it take her to finish reading a 250-page book at this constant rate?

[Assistant]
<think>
Grace can read 200/20 = <<200/20=10>>10 pages in 1 hour.
So she can finish a 250-page book in 250/10 = <<250/10=25>>25 hours.
</think>

<answer>
25
</answer>

<think>
Grace can read 200/20 = <<200/20=10>>10 pages in 1 hour.
So she can finish a 250-page book in 250/10 = <<250/10=25>>25 hours.
</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] There are some kids in camp. Half of the kids are going to soccer camp, and 1/4 of the kids going to soccer camp are going to soccer camp in the morning. 750 kids are going to soccer camp in the afternoon. How many kids there in camp altogether?

[Assistant]
<think>
There are 750/3=<<750/3=250>>250 kids going to soccer camp in the morning.
There are 250*4=<<250*4=1000>>1000 kids going to soccer camp altogether.
There are 1000*2=<<1000*2=2000>>2000 kids in camp altogether.
</think>

<answer>
2000
</answer>

<think>
There are 750/3=<<750/3=250>>250 kids going to soccer camp in the morning.
There are 250*4=<<250*4=1000>>1000 kids going to soccer camp altogether.
There are 1000*2=<<1000*2=2000>>2000 kids in camp altogether.
</think>

<answer>
2000
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

[Assistant]
<think>
The total cost of renting the cottage for 8 hours is $5 x 8 = $<<5*8=40>>40.
So, each friend pay $40/2 = $<<40/2=20>>20 each.
</think>

<answer>
20
</answer>

<think>
The total cost of renting the cottage for 8 hours is $5 x 8 = $<<5*8=40>>40.
So, each friend pay $40/2 = $<<40/2=20>>20 each.
</think>

<answer>
20
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Stephanie is decorating 24 cupcakes for a birthday party, but she needs more candles. She currently has a total of 30 candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes?

[Assistant]
<think>
For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24/2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24/2)*1 = <<24/2*1=12>>12 candles for this half of the cupcakes.
For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24/2)*2 =<<24/2*2=24>>24 candles for this half of the cupcakes.
Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12+24=<<12+24=36>>36 candles.
Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36-30= <<36-30=6>>6 additional candles.
</think>

<answer>
6
</answer>

<think>
For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24/2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24/2)*1 = <<24/2*1=12>>12 candles for this half of the cupcakes.
For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24/2)*2 =<<24/2*2=24>>24 candles for this half of the cupcakes.
Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12+24=<<12+24=36>>36 candles.
Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36-30= <<36-30=6>>6 additional candles.
</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] Trent caught 180 tadpoles then let 75% of them go. How many did he keep?

[Assistant]
<think>
First find the number of tadpoles Trent released: 180 tadpoles * .75 = <<180*.75=135>>135 tadpoles
Then subtract the number he let go from the total number to find the number of tadpoles he keeps: 180 tadpoles - 135 tadpoles = <<180-135=45>>45 tadpoles
</think>

<answer>
45
</answer>

<think>
First find the number of tadpoles Trent released: 180 tadpoles * .75 = <<180*.75=135>>135 tadpoles
Then subtract the number he let go from the total number to find the number of tadpoles he keeps: 180 tadpoles - 135 tadpoles = <<180-135=45>>45 tadpoles
</think>

<answer>
45
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

[Assistant]
<think>
The cost of the Lyft ride is $22 - $3 = $<<22-3=19>>19
The original cost of the taxi ride is $19 - $4 = $<<19-4=15>>15
Trevor tips the taxi driver $15 * 0.20 = $<<15*0.20=3>>3
The total cost of the ride downtown is $15 + $3 = $<<15+3=18>>18
</think>

<answer>
18
</answer>

<think>
The cost of the Lyft ride is $22 - $3 = $<<22-3=19>>19
The original cost of the taxi ride is $19 - $4 = $<<19-4=15>>15
Trevor tips the taxi driver $15 * 0.20 = $<<15*0.20=3>>3
The total cost of the ride downtown is $15 + $3 = $<<15+3=18>>18
</think>

<answer>
18
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jose is a collector of fine wines.  His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine.  If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar?

[Assistant]
<think>
Jose has half as many bottles of domestic wine as imported wine, or 2400/2=<<2400/2=1200>>1200 bottles of domestic wine.
In total, he has 2400+1200=<<2400+1200=3600>>3600 bottles of wine.
If the guests drink one-third of all his wine, then they will have consumed 3600/3=<<3600/3=1200>>1200 bottles of wine.
Thus, after the party, Jose's private cellar will have 3600-1200=<<3600-1200=2400>>2400 remaining bottles of wine.
</think>

<answer>
2400
</answer>

<think>
Jose has half as many bottles of domestic wine as imported wine, or 2400/2=<<2400/2=1200>>1200 bottles of domestic wine.
In total, he has 2400+1200=<<2400+1200=3600>>3600 bottles of wine.
If the guests drink one-third of all his wine, then they will have consumed 3600/3=<<3600/3=1200>>1200 bottles of wine.
Thus, after the party, Jose's private cellar will have 3600-1200=<<3600-1200=2400>>2400 remaining bottles of wine.
</think>

<answer>
2400
</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] Chance boarded a plane departing from London to New York at 6:00 a.m. ET on Monday. He arrived in New York 18 hours later. If he took another plane flying to Cape town the day he arrived in New York and arrived in Cape town at 10:00 a.m ET on Tuesday, calculate the number of hours his flight took from New York to cape town.

[Assistant]
<think>
Eighteen hours later, after departing from London, Chance arrived in New York at 6:00+18 hours = 00:00 on Tuesday.
If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00-00:00 = 10 hours.
</think>

<answer>
10
</answer>

<think>
Eighteen hours later, after departing from London, Chance arrived in New York at 6:00+18 hours = 00:00 on Tuesday.
If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00-00:00 = 10 hours.
</think>

<answer>
10
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Edric's monthly salary is $576. If he works 8 hours a day for 6 days a week, how much is his hourly rate?

[Assistant]
<think>
In a week, Edric's salary is $576/4 = $<<576/4=144>>144.
In a day, Edric earns $144/6 = $<<144/6=24>>24.
Thus, his hourly rate is $24/8 = $<<24/8=3>>3.
</think>

<answer>
3
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Ian had twenty roses. He gave six roses to his mother,  nine roses to his grandmother, four roses to his sister, and he kept the rest. How many roses did Ian keep?

[Assistant]
<think>
Ian gave a total of 6 + 9 + 4 = <<6+9+4=19>>19 roses.
Therefore, Ian kept 20 - 19 = <<20-19=1>>1 rose.
</think>

<answer>
1
</answer>

<think>
Ian gave a total of 6 + 9 + 4 = <<6+9+4=19>>19 roses.
Therefore, Ian kept 20 - 19 = <<20-19=1>>1 rose.
</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] If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective?

[Assistant]
<think>
There are 80*5 = <<80*5=400>>400 engines in total.
400/4 = <<400/4=100>>100 of the engines are defective.
400-100 = <<400-100=300>>300 of the engines are not defective.
</think>

<answer>
300
</answer>

<think>
There are 80*5 = <<80*5=400>>400 engines in total.
400/4 = <<400/4=100>>100 of the engines are defective.
400-100 = <<400-100=300>>300 of the engines are not defective.
</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] Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make?

[Assistant]
<think>
First find the total volume of the smoothie mix: 500 ml + 100 ml = <<500+100=600>>600 ml
Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = <<600/150=4>>4 servings
</think>

<answer>
4
</answer>

<think>
First find the total volume of the smoothie mix: 500 ml + 100 ml = <<500+100=600>>600 ml
Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = <<600/150=4>>4 servings
</think>

<answer>
4
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had 8 apples remaining. How many apples did Buffy steal from Carla?

[Assistant]
<think>
Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8.
Combining constants produces 53 - B = 8.
Adding B to both sides produces 52 = B + 8
Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45.
</think>

<answer>
45
</answer>

<think>
Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8.
Combining constants produces 53 - B = 8.
Adding B to both sides produces 52 = B + 8
Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45.
</think>

<answer>
45
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Joey studies for his SAT exams 2 hours per night 5 nights a week.  On the weekends, he studies 3 hours a day.  If his SAT exam is 6 weeks away, how much time will Joey spend studying?

[Assistant]
<think>
Joey studies 2 hours a night 5 nights a week so that's 2*5 = <<2*5=10>>10 hours
He studies 3 hours a day on the weekends so that's 3*2 = <<3*2=6>>6 hours
In one week, Joey studies 10+6 = <<10+6=16>>16 hours
He has 6 weeks till his exams and he studies for 16 hours a week so that's 6*16 = <<6*16=96>>96 hours of studying
</think>

<answer>
96
</answer>

<think>
Joey studies 2 hours a night 5 nights a week so that's 2*5 = <<2*5=10>>10 hours
He studies 3 hours a day on the weekends so that's 3*2 = <<3*2=6>>6 hours
In one week, Joey studies 10+6 = <<10+6=16>>16 hours
He has 6 weeks till his exams and he studies for 16 hours a week so that's 6*16 = <<6*16=96>>96 hours of studying
</think>

<answer>
96
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] On a 16 GB (gigabyte) capacity USB drive, 50% is already busy. Calculate the number of gigabytes still available.

[Assistant]
<think>
We calculate 50% of 16 GB:
50/100 * 16 GB = 0.5 * 16 GB = <<50/100*16=8>>8 GB
That leaves 16 GB - 8 GB = <<16-8=8>>8 GB available on this key.
</think>

<answer>
8
</answer>

<think>
We calculate 50% of 16 GB:
50/100 * 16 GB = 0.5 * 16 GB = <<50/100*16=8>>8 GB
That leaves 16 GB - 8 GB = <<16-8=8>>8 GB available on this key.
</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] Marla is planning the lunch menu for an elementary school. There are 5 third grade classes with 30 students each, 4 fourth grade classes with 28 students each, and 4 fifth grade classes with 27 students each. Each student gets a hamburger, which costs $2.10, some carrots, which cost $0.50, and a cookie, which cost $0.20. How much does one lunch for all the students cost?

[Assistant]
<think>
First find the total number of students in third grade 5 classes * 30 students/class = <<5*30=150>>150 students
Then find the total number of students in fourth grade 4 classes * 28 students/class = <<4*28=112>>112 students
Then find the total number of student in fifth grade 4 classes * 27 students/class = <<4*27=108>>108 students
Now add the number of students in each grade to find the total number of students 150 students + 112 students + 108 students = <<150+112+108=370>>370 students
Now find the total cost of one lunch $2.10 + $0.50 + $0.20 = $<<2.10+0.50+0.20=2.80>>2.80
Now multiply that cost by the number of students to find the total cost for the school $2.80/student * 370 students = $<<2.80*370=1036>>1036
</think>

<answer>
1036
</answer>

<think>
First find the total number of students in third grade 5 classes * 30 students/class = <<5*30=150>>150 students
Then find the total number of students in fourth grade 4 classes * 28 students/class = <<4*28=112>>112 students
Then find the total number of student in fifth grade 4 classes * 27 students/class = <<4*27=108>>108 students
Now add the number of students in each grade to find the total number of students 150 students + 112 students + 108 students = <<150+112+108=370>>370 students
Now find the total cost of one lunch $2.10 + $0.50 + $0.20 = $<<2.10+0.50+0.20=2.80>>2.80
Now multiply that cost by the number of students to find the total cost for the school $2.80/student * 370 students = $<<2.80*370=1036>>1036
</think>

<answer>
1036
</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 white socks cost 25 cents more than a single brown sock. If two white socks cost 45 cents, how much would you pay for 15 brown socks?

[Assistant]
<think>
Two white socks cost 25 cents more than a single brown sock, meaning a brown sock is sold at $0.45-$0.25=$0.20
The cost of buying 15 brown socks is 15*$0.20=$<<15*0.20=3>>3
</think>

<answer>
3
</answer>

<think>
Two white socks cost 25 cents more than a single brown sock, meaning a brown sock is sold at $0.45-$0.25=$0.20
The cost of buying 15 brown socks is 15*$0.20=$<<15*0.20=3>>3
</think>

<answer>
3
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Kim buys 3 pizzas.  They are 12 slices each.  The pizza cost $72.  How much did 5 slices cost?

[Assistant]
<think>
he got 3*12=<<3*12=36>>36 slices
So each slice cost 72/36=$<<72/36=2>>2
So 5 slices would cost 5*2=$<<5*2=10>>10
</think>

<answer>
10
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Lily had $55 in her account. She spent $7 on a shirt. She then went to another shop and spent thrice as much as she spent on a shirt. How much money is left in Lily's account?

[Assistant]
<think>
After spending money on a shirt, Lily had $55 - $7 = $<<55-7=48>>48 left.
She spent $7 x 3 = $<<7*3=21>>21 on another store.
Therefore, she only has $48 - $21 = $<<48-21=27>>27 left on her account.
</think>

<answer>
27
</answer>

<think>
After spending money on a shirt, Lily had $55 - $7 = $<<55-7=48>>48 left.
She spent $7 x 3 = $<<7*3=21>>21 on another store.
Therefore, she only has $48 - $21 = $<<48-21=27>>27 left on her account.
</think>

<answer>
27
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Georgie needs 3 avocados to make her grandmother's guacamole recipe. If she already had 5 avocados and her sister buys another 4 avocados, how many servings of guacamole can Georgie make?

[Assistant]
<think>
Altogether, Georgie has 5 + 4 = <<5+4=9>>9 avocados.
She can make 9/3 = <<9/3=3>>3 servings of guacamole.
</think>

<answer>
3
</answer>

<think>
Altogether, Georgie has 5 + 4 = <<5+4=9>>9 avocados.
She can make 9/3 = <<9/3=3>>3 servings of guacamole.
</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] Sabrina gave 10 cookies to her brother. Her mother gave Sabrina half the number of cookies she gave her brother. Then Sabrina gave two-thirds of her cookies to her sister. If Sabrina had 20 cookies at the start, how many cookies are left with her?

[Assistant]
<think>
Sabrina had 20 - 10 = <<20-10=10>>10 cookies left after giving 10 cookies to her brother.
Sabrina's mother gave her 10/2 = <<10/2=5>>5 cookies.
So, she had 10 + 5 = <<10+5=15>>15 cookies then.
She gave 15 x 2/3 = <<15*2/3=10>>10 cookies to her sister.
Therefore, she only has 15 - 10 = <<15-10=5>>5 cookies left.
</think>

<answer>
5
</answer>

<think>
Sabrina had 20 - 10 = <<20-10=10>>10 cookies left after giving 10 cookies to her brother.
Sabrina's mother gave her 10/2 = <<10/2=5>>5 cookies.
So, she had 10 + 5 = <<10+5=15>>15 cookies then.
She gave 15 x 2/3 = <<15*2/3=10>>10 cookies to her sister.
Therefore, she only has 15 - 10 = <<15-10=5>>5 cookies left.
</think>

<answer>
5
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Isabel has some money in her piggy bank. She spent half the amount and bought a toy. She then spent half of the remaining money and bought her brother a book. If she has $51 left, how much money, in dollars, did she have at first?

[Assistant]
<think>
After buying the toy, Isabel has 51*2=<<51*2=102>>102 dollars left.
Isabel had 102*2=<<102*2=204>>204 dollars at first.
</think>

<answer>
204
</answer>

<think>
After buying the toy, Isabel has 51*2=<<51*2=102>>102 dollars left.
Isabel had 102*2=<<102*2=204>>204 dollars at first.
</think>

<answer>
204
</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 pool has 48 blue tiles and 32 red tiles. If the pool needs 100 tiles to be completed, how many more tiles are needed?

[Assistant]
<think>
The pool currently has 48+32 = <<48+32=80>>80 tiles.
The pool needs 100-80 = <<100-80=20>>20 more tiles to be completed.
</think>

<answer>
20
</answer>

<think>
The pool currently has 48+32 = <<48+32=80>>80 tiles.
The pool needs 100-80 = <<100-80=20>>20 more tiles to be completed.
</think>

<answer>
20
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Melanie is making meatballs for dinner. The recipe calls for breadcrumbs. To make the breadcrumbs Melanie is going to tear 2 slices of bread into smaller pieces and then add them to a blender to grind them into fine crumbs. First she tears the bread slices each in half, then tears those halves in half. How many bread pieces is Melanie going to put into the blender?

[Assistant]
<think>
Melanie starts with 1 slice of bread that she tears in half, making 2 halves.
She takes both of those halves and tears them each in half, 2 halves x 2 more halves in half = <<2*2=4>>4 pieces per slice of bread.
Melanie is using 2 slices of bread x 4 pieces each = <<2*4=8>>8 pieces overall to add to the blender.
</think>

<answer>
8
</answer>

<think>
Melanie starts with 1 slice of bread that she tears in half, making 2 halves.
She takes both of those halves and tears them each in half, 2 halves x 2 more halves in half = <<2*2=4>>4 pieces per slice of bread.
Melanie is using 2 slices of bread x 4 pieces each = <<2*4=8>>8 pieces overall to add to the blender.
</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] Robi Ney wants to fill a 120-liter tub. He is amused by letting the water run for 1 minute, then closing the water supply for 1 minute, and so on alternating opening and closing the water supply. But the cap at the bottom of the tub is not very airtight and lets 1 liter of water escape per minute. The flow rate of the tap is 12 liters per minute. How long does it take to fill the tub in minutes?

[Assistant]
<think>
In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter/minute ) escape.
This will leave 12 – 2 = <<12-2=10>>10 liters of water every two minutes
We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = <<10/2=5>>5 liters per minute
To fill the tub, it will take 120 liters / 5 liters/min = <<120/5=24>>24 min
</think>

<answer>
24
</answer>

<think>
In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter/minute ) escape.
This will leave 12 – 2 = <<12-2=10>>10 liters of water every two minutes
We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = <<10/2=5>>5 liters per minute
To fill the tub, it will take 120 liters / 5 liters/min = <<120/5=24>>24 min
</think>

<answer>
24
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] There are 3 meatballs on each spaghetti plate.  If Theresa's 3 sons each eat two-thirds of the meatballs on their respective plates, how many meatballs are still left on their plates altogether?

[Assistant]
<think>
Total meatballs on the plates 3 x 3 = <<3*3=9>>9.
If two-thirds are eaten, one-third remaining on the plates is 9 / 3 = <<9/3=3>>3.
</think>

<answer>
3
</answer>

<think>
Total meatballs on the plates 3 x 3 = <<3*3=9>>9.
If two-thirds are eaten, one-third remaining on the plates is 9 / 3 = <<9/3=3>>3.
</think>

<answer>
3
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Travis and his brother joined a trick-or-treat event. They collected 68 pieces of candy altogether. Each of them ate 4 pieces of candy after the event. How many pieces of candy were left?

[Assistant]
<think>
They ate a total of 4 x 2 = <<4*2=8>>8 pieces of candy after the event.
So, Travis and his brother have 68 - 8 = <<68-8=60>>60 pieces of candy left.
</think>

<answer>
60
</answer>

<think>
They ate a total of 4 x 2 = <<4*2=8>>8 pieces of candy after the event.
So, Travis and his brother have 68 - 8 = <<68-8=60>>60 pieces of candy left.
</think>

<answer>
60
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Alice and Emily are selling oranges at the farmer's market. Alice sold twice as many oranges as Emily did. In total, they sold 180 oranges. How many oranges did Alice sell?

[Assistant]
<think>
Emily sold 180/3=<<180/3=60>>60 oranges.
Alice sold 60*2=<<60*2=120>>120 oranges.
</think>

<answer>
120
</answer>