[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] Georgia has 25 pieces of stationery while Lorene has three times as many pieces of stationery as Georgia. How many fewer pieces of stationery does Georgia have than Lorene?

[Assistant]
<think>
Lorene has 25 x 3 = <<25*3=75>>75 pieces of stationery.
Thus, Georgia has 75 - 25 = <<75-25=50>>50 fewer pieces of stationery than Lorene.
</think>

<answer>
50
</answer>

<think>
Lorene has 25 x 3 = <<25*3=75>>75 pieces of stationery.
Thus, Georgia has 75 - 25 = <<75-25=50>>50 fewer pieces of stationery than Lorene.
</think>

<answer>
50
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?

[Assistant]
<think>
At the back of stores, the town has paid for 14 trash cans on the streets * 2 = <<14*2=28>>28 trash cans.
The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = <<14+28=42>>42 trash cans.
</think>

<answer>
42
</answer>

<think>
At the back of stores, the town has paid for 14 trash cans on the streets * 2 = <<14*2=28>>28 trash cans.
The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = <<14+28=42>>42 trash cans.
</think>

<answer>
42
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jessica has one hour to take an exam. She has answered 16 out of 80 questions. She has used 12 minutes of her time. If she keeps up this same pace, how many minutes will be left when she finishes the exam?

[Assistant]
<think>
She takes .75 minutes to answer a question because 12 / 16 = <<12/16=.75>>.75
It will take her 60 minutes to take the entire exam because 80 x .75 = <<80*.75=60>>60
She has 0 minutes left when she is done because 60 - 60 = <<60-60=0>>0
</think>

<answer>
0
</answer>

<think>
She takes .75 minutes to answer a question because 12 / 16 = <<12/16=.75>>.75
It will take her 60 minutes to take the entire exam because 80 x .75 = <<80*.75=60>>60
She has 0 minutes left when she is done because 60 - 60 = <<60-60=0>>0
</think>

<answer>
0
</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 chair costs 1/7 of the cost of a table. If a table costs $140, how much will it cost to buy a table and 4 chairs?

[Assistant]
<think>
One chair costs $140 x 1/7 = $<<140*1/7=20>>20.
Four chairs cost $20 x 4 = $<<20*4=80>>80.
So a table and 4 chairs cost $140 + $80 = $<<140+80=220>>220.
</think>

<answer>
220
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Alani earned $45 for 3 hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75?

[Assistant]
<think>
The rate is $45/3=$<<45/3=15>>15/hr.
She would need to baby-sit for $75/$15=<<75/15=5>>5 hours.
</think>

<answer>
5
</answer>

<think>
The rate is $45/3=$<<45/3=15>>15/hr.
She would need to baby-sit for $75/$15=<<75/15=5>>5 hours.
</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] A teacher teaches 5 periods a day and works 24 days a month. He is paid $5 per period. if he has been working for 6 months now how much has he earned in total?

[Assistant]
<think>
The amount paid to the teacher per day is 5 periods * $5 / period = $<<5*5=25>>25 per day.
The amount paid for 24 days is $25 / day * 24 days = $<<25*24=600>>600.
The total amount for 6 months is $600 * 6 = $<<600*6=3600>>3600.
</think>

<answer>
3600
</answer>

<think>
The amount paid to the teacher per day is 5 periods * $5 / period = $<<5*5=25>>25 per day.
The amount paid for 24 days is $25 / day * 24 days = $<<25*24=600>>600.
The total amount for 6 months is $600 * 6 = $<<600*6=3600>>3600.
</think>

<answer>
3600
</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 her birthday, Avianna bought red candles and blue candles in the ratio of 5:3. If Avianna had 45 red candles on her birthday, how many blue candles did she have?

[Assistant]
<think>
If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8.
If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles.
If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = <<72-45=27>>27 candles
</think>

<answer>
27
</answer>

<think>
If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8.
If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles.
If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = <<72-45=27>>27 candles
</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] Mary and Rose went shopping to buy presents. They spent the same amount. Mary bought two pairs of sunglasses for $50 each and a pair of jeans for $100.  Rose bought a pair of shoes at $150 and two decks of basketball cards. How much did one deck of basketball cards cost?

[Assistant]
<think>
Two pairs of sunglasses costs 2 x $50 = $<<2*50=100>>100.
So, Mary spent $100 + $100 = $<<100+100=200>>200.
Thus, two decks of basketball cards costs $200 - $150 = $<<200-150=50>>50.
Therefore, one deck of basketball cards costs $50/2 = $<<50/2=25>>25.
</think>

<answer>
25
</answer>

<think>
Two pairs of sunglasses costs 2 x $50 = $<<2*50=100>>100.
So, Mary spent $100 + $100 = $<<100+100=200>>200.
Thus, two decks of basketball cards costs $200 - $150 = $<<200-150=50>>50.
Therefore, one deck of basketball cards costs $50/2 = $<<50/2=25>>25.
</think>

<answer>
25
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. If Bom has 300 watermelon seeds, how many seeds do they have together?

[Assistant]
<think>
If Bom has 300 seeds, then Gwi has 300+40 = <<300+40=340>>340 watermelon seeds.
Together, Bom and Gwi have 340+300 = <<340+300=640>>640 melon seeds.
Yeon's number of watermelon seeds is three times as many as the number that Gwi has, meaning Yeon has 3*340 = <<3*340=1020>>1020 watermelon seeds.
Together, the three friends have 1020+640 = <<1020+640=1660>>1660 watermelon seeds.
</think>

<answer>
1660
</answer>

<think>
If Bom has 300 seeds, then Gwi has 300+40 = <<300+40=340>>340 watermelon seeds.
Together, Bom and Gwi have 340+300 = <<340+300=640>>640 melon seeds.
Yeon's number of watermelon seeds is three times as many as the number that Gwi has, meaning Yeon has 3*340 = <<3*340=1020>>1020 watermelon seeds.
Together, the three friends have 1020+640 = <<1020+640=1660>>1660 watermelon seeds.
</think>

<answer>
1660
</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] Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is 7, what's the combined shoe size for both of them?

[Assistant]
<think>
If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = <<7*2=14>>14
The total shoe size is 14 + 7= <<14+7=21>>21
</think>

<answer>
21
</answer>

<think>
If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = <<7*2=14>>14
The total shoe size is 14 + 7= <<14+7=21>>21
</think>

<answer>
21
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Vaishali has 4 hats, each with three stripes.  She also has three hats with four stripes each, six hats with no stripes, and another two hats with 5 stripes each.  What is the combined total number of stripes Vaishali has on all of her hats?

[Assistant]
<think>
Four hats, each with three stripes, is 4*3=<<4*3=12>>12 stripes.
Three hats with four stripes each is 3*4=<<3*4=12>>12 stripes.
Six hats with no stripes is 6*0 = <<6*0=0>>0 stripes.
And two hats with 5 stripes each is 2*5=<<2*5=10>>10 stripes.
The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=<<12+12+0+10=34>>34 stripes.
</think>

<answer>
34
</answer>

<think>
Four hats, each with three stripes, is 4*3=<<4*3=12>>12 stripes.
Three hats with four stripes each is 3*4=<<3*4=12>>12 stripes.
Six hats with no stripes is 6*0 = <<6*0=0>>0 stripes.
And two hats with 5 stripes each is 2*5=<<2*5=10>>10 stripes.
The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=<<12+12+0+10=34>>34 stripes.
</think>

<answer>
34
</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 baker has 10 cheesecakes on the display while 15 more are still in the fridge. If the baker has sold 7 cheesecakes from the display, how many more cheesecakes are left to be sold?

[Assistant]
<think>
A baker has a total of 10 + 15 = <<10+15=25>>25 cheesecakes both from the display and the fridge.
Therefore, there are 25 - 7 = <<25-7=18>>18 more cheesecakes to be sold.
</think>

<answer>
18
</answer>

<think>
A baker has a total of 10 + 15 = <<10+15=25>>25 cheesecakes both from the display and the fridge.
Therefore, there are 25 - 7 = <<25-7=18>>18 more cheesecakes to be sold.
</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] Tina is working on her homework when she realizes she's having a hard time typing out her answers on her laptop because a lot of the keys are sticky. She is trying to get her homework done before dinner, though, so she needs to decide if she has time to clean her keyboard first. Tina knows her assignment will only take 10 minutes to complete. Dinner will be ready at 5:30 p.m. Tina decides to time how long it takes to remove and clean one key and will then multiply that time by how many keys she needs to fix. She counts 15 keys that are sticky and times it to take 3 minutes to clean one. After Tina has cleaned one key, there are 14 left to clean. How many minutes total will it take for Tina to both clean the remaining keys and finish her assignment?

[Assistant]
<think>
Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = <<14*3=42>>42 minutes to clean all the keyboard keys.
Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner.
</think>

<answer>
52
</answer>

<think>
Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = <<14*3=42>>42 minutes to clean all the keyboard keys.
Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner.
</think>

<answer>
52
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Jacob is 24 years now. His brother Tony is half Jacob's age. In 6 years how old will tony be?

[Assistant]
<think>
Tony’s age now is 24 / 2 = <<24/2=12>>12 years old.
In 6 years he will be 12 + 6 = <<12+6=18>>18 years old.
</think>

<answer>
18
</answer>

<think>
Tony’s age now is 24 / 2 = <<24/2=12>>12 years old.
In 6 years he will be 12 + 6 = <<12+6=18>>18 years old.
</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] James buys 200 lotto tickets for 2 dollars each.  Of those tickets 20% are winners.  80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000.  The other tickets win an average of $10.  How much did he profit?

[Assistant]
<think>
He spent 200*2=$<<200*2=400>>400
There were 200*.2=<<200*.2=40>>40 tickets
Of those 40*.8=32 are 5 dollar winners
So they win 32*5=$<<32*5=160>>160
He has 40-32=<<40-32=8>>8 other winning tickets
Of those 8-1=<<8-1=7>>7 wins $10
So they win 10*7=$<<10*7=70>>70
So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830
</think>

<answer>
4830
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] In a community of 50 families, 15 families own 2 dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all?

[Assistant]
<think>
The 15 families own 15x2=<<15*2=30>>30 dogs.
The 20 families own 20x1=<<20*1=20>>20 dogs.
There are 50-15-20=<<50-15-20=15>>15 cat owners.
The remaining families own 15x2=<<15*2=30>>30 cats.
There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village.
</think>

<answer>
80
</answer>

<think>
The 15 families own 15x2=<<15*2=30>>30 dogs.
The 20 families own 20x1=<<20*1=20>>20 dogs.
There are 50-15-20=<<50-15-20=15>>15 cat owners.
The remaining families own 15x2=<<15*2=30>>30 cats.
There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village.
</think>

<answer>
80
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Michelangelo has 28 ceilings to paint. This week, he paints 12 of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week?

[Assistant]
<think>
After this week, Michelangelo will have 28-12=<<28-12=16>>16 more ceilings to paint.
Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings.
Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint.
</think>

<answer>
13
</answer>

<think>
After this week, Michelangelo will have 28-12=<<28-12=16>>16 more ceilings to paint.
Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings.
Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint.
</think>

<answer>
13
</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] Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has 600 meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make?

[Assistant]
<think>
Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk.
This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage.
He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses.
</think>

<answer>
100
</answer>

<think>
Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk.
This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage.
He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses.
</think>

<answer>
100
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Tony has to run several errands in a day.  He needs to drive 10 miles to get groceries, 15 miles to get a haircut and 5 miles to go to a doctor's appointment.  How many miles will Tony have driven when he is halfway through driving around for his errands?

[Assistant]
<think>
First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total.
To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done.
</think>

<answer>
15
</answer>

<think>
First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total.
To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done.
</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] Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet.  Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight.  If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's?

[Assistant]
<think>
Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3*1000=<<3*1000=3000>>3000 feet.
Five times farther than the distance from which Freddie's flashlight can be seen at night is 5*3000=<<5*3000=15000>>15,000 feet.
Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet.
Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther.
</think>

<answer>
12,000
</answer>

<think>
Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3*1000=<<3*1000=3000>>3000 feet.
Five times farther than the distance from which Freddie's flashlight can be seen at night is 5*3000=<<5*3000=15000>>15,000 feet.
Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet.
Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther.
</think>

<answer>
12,000
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] The city’s bus system carries 1,200,000 people each day. How many people does the bus system carry for 13 weeks?

[Assistant]
<think>
13 weeks have 13 * 7 = <<13*7=91>>91 days.
For 91 days the bus system carries 1,200,000 * 91 = <<1200000*91=109200000>>109,200,000 people.
</think>

<answer>
109,200,000
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] In the city, there is a block of flats. This block has 12 floors. Half of the floors have 6 apartments and the other half have 5 apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats?

[Assistant]
<think>
Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors.
One half of the block consists of 6 floors * 6 apartments/floor = <<6*6=36>>36 apartments.
And the other half consists of 6 floors * 5 apartments/floor = <<6*5=30>>30 apartments.
There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block.
All the apartments can therefore accommodate 66 apartments * 4 residents/apartment = <<66*4=264>>264 residents.
</think>

<answer>
264
</answer>

<think>
Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors.
One half of the block consists of 6 floors * 6 apartments/floor = <<6*6=36>>36 apartments.
And the other half consists of 6 floors * 5 apartments/floor = <<6*5=30>>30 apartments.
There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block.
All the apartments can therefore accommodate 66 apartments * 4 residents/apartment = <<66*4=264>>264 residents.
</think>

<answer>
264
</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 bus has a capacity of 200 people. If it carried 3/4 of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips?

[Assistant]
<think>
From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers
On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers
In total, the bus carried 160+150 = <<160+150=310>>310 passengers.
</think>

<answer>
310
</answer>

<think>
From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers
On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers
In total, the bus carried 160+150 = <<160+150=310>>310 passengers.
</think>

<answer>
310
</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] Quinton brought 40 cupcakes to school on his birthday. He gave a cupcake to each of the 18 students in Ms. Delmont's class. He also gave a cupcake to each of the 16 students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the school principal. How many cupcakes did he have left over?

[Assistant]
<think>
Quinton had 40 cupcakes - 18 = <<40-18=22>>22 cupcakes.
He then had 22 cupcakes - 16 students = <<22-16=6>>6 cupcakes.
Quinton then gave away 6 - 1 -1 -1 -1 = <<6-1-1-1-1=2>>2 cupcakes left.
</think>

<answer>
2
</answer>

<think>
Quinton had 40 cupcakes - 18 = <<40-18=22>>22 cupcakes.
He then had 22 cupcakes - 16 students = <<22-16=6>>6 cupcakes.
Quinton then gave away 6 - 1 -1 -1 -1 = <<6-1-1-1-1=2>>2 cupcakes left.
</think>

<answer>
2
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] The school band has 30 songs in their repertoire. The band played 5 songs in their first set and 7 in their second set. The band will play 2 songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets?

[Assistant]
<think>
The band played 5 + 7 = <<5+7=12>>12 songs in their first two sets.
They have 30 - 12 = <<30-12=18>>18 songs left for the third set, fourth set and encore.
Since they played 2 songs in the encore, they have 18 - 2 = <<18-2=16>>16 songs to play on the third and fourth sets
They will play 16 / 2 = <<16/2=8>>8 songs on average over the third and fourth sets.
</think>

<answer>
8
</answer>

<think>
The band played 5 + 7 = <<5+7=12>>12 songs in their first two sets.
They have 30 - 12 = <<30-12=18>>18 songs left for the third set, fourth set and encore.
Since they played 2 songs in the encore, they have 18 - 2 = <<18-2=16>>16 songs to play on the third and fourth sets
They will play 16 / 2 = <<16/2=8>>8 songs on average over the third and fourth sets.
</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] Some students want to buy pencils from a stationery shop. The price of one pencil is 20 cents. Tolu wants 3 pencils, Robert wants 5 pencils and Melissa wants 2 pencils. How much (in dollars) will the students spend altogether at the stationery shop?

[Assistant]
<think>
The three students want a total of 3+2+5 = <<3+2+5=10>>10 pencils
Each pencil cost 20 cents so 10 pencils cost 20*10 = <<20*10=200>>200 cents
100 cents make a dollar so 200 cents make 200/100 = <<200/100=2>>2 dollars
</think>

<answer>
2
</answer>

<think>
The three students want a total of 3+2+5 = <<3+2+5=10>>10 pencils
Each pencil cost 20 cents so 10 pencils cost 20*10 = <<20*10=200>>200 cents
100 cents make a dollar so 200 cents make 200/100 = <<200/100=2>>2 dollars
</think>

<answer>
2
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Josh had 100 gummy bear candies. He decided to give his 3 siblings 10 candies each. Then he gave half of the remaining candies to his best friend. If he only wants to eat 16 gummy bear candies, how many candies are left to be shared with others?

[Assistant]
<think>
Josh gave a total of 3 x 10 = <<3*10=30>>30 candies to his siblings.
He was then left with 100 - 30 = <<100-30=70>>70 candies.
He gave 70/2 = <<70/2=35>>35 candies to his best friend.
So he had 70 - 35 = <<70-35=35>>35 candies left.
Since he only wants to eat 16 candies, there are still 35 - 16 = <<35-16=19>>19 candies left to be shared with others.
</think>

<answer>
19
</answer>

<think>
Josh gave a total of 3 x 10 = <<3*10=30>>30 candies to his siblings.
He was then left with 100 - 30 = <<100-30=70>>70 candies.
He gave 70/2 = <<70/2=35>>35 candies to his best friend.
So he had 70 - 35 = <<70-35=35>>35 candies left.
Since he only wants to eat 16 candies, there are still 35 - 16 = <<35-16=19>>19 candies left to be shared with others.
</think>

<answer>
19
</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] Olivia earns $9 per hour.  She worked 4 hours on Monday, 3 hours on Wednesday and 6 hours on Friday.  How much money did Olivia make this week?

[Assistant]
<think>
Olivia made $9 * 4 hours = $<<9*4=36>>36 on Monday.
Olivia made $9 * 3 = $<<9*3=27>>27 on Wednesday.
Olivia made $9 * 6 hours = $<<9*6=54>>54 on Friday.
For the week Olivia made $36 + $27 + $54 = $<<36+27+54=117>>117.
</think>

<answer>
117
</answer>

<think>
Olivia made $9 * 4 hours = $<<9*4=36>>36 on Monday.
Olivia made $9 * 3 = $<<9*3=27>>27 on Wednesday.
Olivia made $9 * 6 hours = $<<9*6=54>>54 on Friday.
For the week Olivia made $36 + $27 + $54 = $<<36+27+54=117>>117.
</think>

<answer>
117
</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] Tanika is selling boxes of crackers for her scout troop's fund-raiser. On Saturday, she sold 60 boxes. On Sunday, she sold 50% more than on Saturday. How many boxes did she sell, in total, over the two days?

[Assistant]
<think>
She sold 60*1.50=<<60*1.50=90>>90 boxes on Sunday.
The total is 60+90=<<60+90=150>>150 boxes.
</think>

<answer>
150
</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] Fred spent half of his allowance going to the movies. He washed the family car and earned 6 dollars. What is his weekly allowance if he ended with 14 dollars?

[Assistant]
<think>
Before washing the car Fred had $14 - $6 = $<<14-6=8>>8.
Fred spent half his allowance for the movies, so 2 * $8 = $<<2*8=16>>16 allowance.
</think>

<answer>
16
</answer>

<think>
Before washing the car Fred had $14 - $6 = $<<14-6=8>>8.
Fred spent half his allowance for the movies, so 2 * $8 = $<<2*8=16>>16 allowance.
</think>

<answer>
16
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] If there are two pennies in each of the twelve compartments of Roshesmina's piggy bank and she adds 6 more pennies to each compartment, calculate the total number of pennies she has?

[Assistant]
<think>
In each compartment, there are two pennies, and when she adds 6 pennies to each compartment, one compartment will have 6+2 = 8 pennies.
If there are 12 compartments, and each compartment now contains 8 pennies, there are a total of 12*8 = <<12*8=96>>96 pennies in all the compartments.
</think>

<answer>
96
</answer>

<think>
In each compartment, there are two pennies, and when she adds 6 pennies to each compartment, one compartment will have 6+2 = 8 pennies.
If there are 12 compartments, and each compartment now contains 8 pennies, there are a total of 12*8 = <<12*8=96>>96 pennies in all the compartments.
</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] Hawkeye is driving to his aunt. He has to charge his battery for $3.5 per charge. If he charged his battery four times, and his battery charging budget was $20, how much money was he left with when he reached his aunt's place?

[Assistant]
<think>
If each battery charge costs $3.5, the total expense of 4 battery charges is 4*3.5 = $<<4*3.5=14>>14.
After his expense on battery charging, his balance was 20-14 = $<<20-14=6>>6.
</think>

<answer>
6
</answer>

<think>
If each battery charge costs $3.5, the total expense of 4 battery charges is 4*3.5 = $<<4*3.5=14>>14.
After his expense on battery charging, his balance was 20-14 = $<<20-14=6>>6.
</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] Zig wrote four times as many books as Flo. If Zig wrote 60 books, how many books did they write altogether?

[Assistant]
<think>
If Zig wrote 60 books, four times as many books as Flo, Flo wrote 60/4=<<60/4=15>>15 books
Together, they wrote 60+15=<<60+15=75>>75 books.
</think>

<answer>
75
</answer>

<think>
If Zig wrote 60 books, four times as many books as Flo, Flo wrote 60/4=<<60/4=15>>15 books
Together, they wrote 60+15=<<60+15=75>>75 books.
</think>

<answer>
75
</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] Pete has to take a 10-minute walk down to the train station and then board a 1hr 20-minute train to LA. When should he leave if he cannot get to LA later than 0900 hours? (24-hr time)

[Assistant]
<think>
There are 60 minutes in an hour so 1 hour 20 minutes = (60+20) minutes = 80 minutes
He will spend a total of 80+10 = <<80+10=90>>90 minutes
90 minutes is = (60/60) hours and 30 minutes = 1 hour 30 minutes = 0130 in 24-hr time
He has to leave 0130 hours earlier than 0900 i.e. 0900-0130 = 0730 hours
</think>

<answer>
730
</answer>

<think>
There are 60 minutes in an hour so 1 hour 20 minutes = (60+20) minutes = 80 minutes
He will spend a total of 80+10 = <<80+10=90>>90 minutes
90 minutes is = (60/60) hours and 30 minutes = 1 hour 30 minutes = 0130 in 24-hr time
He has to leave 0130 hours earlier than 0900 i.e. 0900-0130 = 0730 hours
</think>

<answer>
730
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a 6% discount. The second sells the same computer for €920 with a 5% discount. What is the difference in price between the two stores?

[Assistant]
<think>
The amount of discount in the first store 950 x 6/100 = $<<950*6/100=57>>57.
So, the device costs 950 - 57 = $<<950-57=893>>893 in the first store.
The amount of discount in the second store is 920 x 5/100 = $<<920*5/100=46>>46.
So, the device costs 920 - 46 = $<<920-46=874>>874 in the second store.
The difference in price is 893 - 874 = $<<893-874=19>>19.
</think>

<answer>
19
</answer>

<think>
The amount of discount in the first store 950 x 6/100 = $<<950*6/100=57>>57.
So, the device costs 950 - 57 = $<<950-57=893>>893 in the first store.
The amount of discount in the second store is 920 x 5/100 = $<<920*5/100=46>>46.
So, the device costs 920 - 46 = $<<920-46=874>>874 in the second store.
The difference in price is 893 - 874 = $<<893-874=19>>19.
</think>

<answer>
19
</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] Elizabeth uses $3.00 worth of ingredients to make a  bag of granola.  She makes 20 bags and sells them for $6.00 a bag at the farmer's market.  An hour before closing, she has sold 15 bags and marks the remaining 5 bags down to $4.00 and sells them soon after.  What is her net profit?

[Assistant]
<think>
She uses $3.00 of ingredients per 1 bag of granola and she makes 20 bags so she spends 3*20 = $<<3*20=60.00>>60.00 on ingredients
She sells 15 bags for $6.00 so she makes 15*6 = $<<15*6=90.00>>90.00
She sells her last 5 bags for $4.00 so she makes 5*4 = $<<5*4=20.00>>20.00
She made $90.00 and $20.00 for a total of 90+20 = $<<90+20=110.00>>110.00
She made $110.00 but spent $60.00 on ingredients so her net profit is 110-60 = $<<110-60=50.00>>50.00
</think>

<answer>
50
</answer>

<think>
She uses $3.00 of ingredients per 1 bag of granola and she makes 20 bags so she spends 3*20 = $<<3*20=60.00>>60.00 on ingredients
She sells 15 bags for $6.00 so she makes 15*6 = $<<15*6=90.00>>90.00
She sells her last 5 bags for $4.00 so she makes 5*4 = $<<5*4=20.00>>20.00
She made $90.00 and $20.00 for a total of 90+20 = $<<90+20=110.00>>110.00
She made $110.00 but spent $60.00 on ingredients so her net profit is 110-60 = $<<110-60=50.00>>50.00
</think>

<answer>
50
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Abe finds 4 ants on the sidewalk.  Beth sees 50% more ants than Abe.  CeCe watches twice as many ants as Abe.  Duke discovers half as many ants as Abe.  How many ants do the four children find together?

[Assistant]
<think>
Beth finds 4 + 2 = <<4+2=6>>6 ants.
CeCe finds 4 x 2 = <<4*2=8>>8 ants.
Duke finds 4 / 2 = <<4/2=2>>2 ants.
The four children find 4 + 6 + 8 + 2 = <<4+6+8+2=20>>20 ants.
</think>

<answer>
20
</answer>

<think>
Beth finds 4 + 2 = <<4+2=6>>6 ants.
CeCe finds 4 x 2 = <<4*2=8>>8 ants.
Duke finds 4 / 2 = <<4/2=2>>2 ants.
The four children find 4 + 6 + 8 + 2 = <<4+6+8+2=20>>20 ants.
</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] There are 30 different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left?

[Assistant]
<think>
30 x 5/6 = <<30*5/6=25>>25 nuts were eaten.
Thus, 30 - 25 = <<30-25=5>>5 nuts were 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] Harry has 50 books in his library. His sister Flora has twice as many books and their cousin Gary has half the books Harry has. How many books do the three of them own together?

[Assistant]
<think>
Flora has 50*2= <<50*2=100>>100 books
Gary has 50/2= <<50/2=25>>25 books
Together they own 100+25+50= <<100+25+50=175>>175 books
</think>

<answer>
175
</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 rectangular flowerbed in the city park is 4 meters wide. Its length is 1 meter less than twice its width. The government wants to fence the flowerbed. How many meters of fence are needed?

[Assistant]
<think>
Twice the width is 4 x 2 = <<4*2=8>>8 meters.
The length of the rectangular flowerbed is 8 - 1= <<8-1=7>>7 meters.
Since the rectangular flower bed has 2 equal lengths, then it needs 7 x 2 = <<7*2=14>>14 meters of fence.
The rectangular bed has also 2 equal widths, so it needs 4 x 2 = <<8=8>>8 meters of fence.
Therefore, the rectangular flower bed needs a total of 14 + 8 = <<14+8=22>>22 meters of fence.
</think>

<answer>
22
</answer>

<think>
Twice the width is 4 x 2 = <<4*2=8>>8 meters.
The length of the rectangular flowerbed is 8 - 1= <<8-1=7>>7 meters.
Since the rectangular flower bed has 2 equal lengths, then it needs 7 x 2 = <<7*2=14>>14 meters of fence.
The rectangular bed has also 2 equal widths, so it needs 4 x 2 = <<8=8>>8 meters of fence.
Therefore, the rectangular flower bed needs a total of 14 + 8 = <<14+8=22>>22 meters of fence.
</think>

<answer>
22
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] To let Ruth know how long her fish will live, her father tells her that well-cared fish can live 2 years longer than dogs live. On average, dogs live 4 times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live?

[Assistant]
<think>
Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = <<4*2.5=10>>10 years.
If Ruth takes care of the fish, it can live 10 + 2 = <<10+2=12>>12 years.
</think>

<answer>
12
</answer>

<think>
Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = <<4*2.5=10>>10 years.
If Ruth takes care of the fish, it can live 10 + 2 = <<10+2=12>>12 years.
</think>

<answer>
12
</answer>


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

## Instructions

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

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

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

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

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

6. Use correct mathematical notation and terminology throughout.

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

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

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

[User] Bill picked 50 apples from the orchard with his wife and two children.  He sends each of his kids to school with 3 apples for their two favorite teachers.  His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left?

[Assistant]
<think>
Bill gives each of his children 3 apples, so since he has two children this is 3*2=<<3*2=6>>6 apples.
Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=<<2*10=20>>20 apples.
In total, this means 20+6=<<20+6=26>>26 apples were used.
Since Bill began with 50 apples, this means there are 50-26=<<50-26=24>>24 apples remaining.
</think>

<answer>
24
</answer>

<think>
Bill gives each of his children 3 apples, so since he has two children this is 3*2=<<3*2=6>>6 apples.
Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=<<2*10=20>>20 apples.
In total, this means 20+6=<<20+6=26>>26 apples were used.
Since Bill began with 50 apples, this means there are 50-26=<<50-26=24>>24 apples remaining.
</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] Jackson has 5 times more money than Williams. Together, they have $150. How much money, in dollars, does Jackson have?

[Assistant]
<think>
Let x be the amount of money Williams has.
Jackson has 5*x dollars.
5*x+x=150
6*x=150
x=<<25=25>>25
Jackson has 25*5=<<25*5=125>>125 dollars.
</think>

<answer>
125
</answer>

<think>
Let x be the amount of money Williams has.
Jackson has 5*x dollars.
5*x+x=150
6*x=150
x=<<25=25>>25
Jackson has 25*5=<<25*5=125>>125 dollars.
</think>

<answer>
125
</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] Madison takes her dog to the dog park. Counting Madison's dog, half the dogs have spots and 1/5 have pointy ears. If 15 dogs have spots, how many have pointy ears?

[Assistant]
<think>
First double the number of dogs with spots to find the total number of dogs: 15 dogs * 2 = <<15*2=30>>30 dogs
Then multiply that number by 1/5 to find the number that have pointy ears: 30 dogs * 1/5 = <<30*1/5=6>>6 dogs
</think>

<answer>
6
</answer>

<think>
First double the number of dogs with spots to find the total number of dogs: 15 dogs * 2 = <<15*2=30>>30 dogs
Then multiply that number by 1/5 to find the number that have pointy ears: 30 dogs * 1/5 = <<30*1/5=6>>6 dogs
</think>

<answer>
6
</answer>