
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Nadia baked pies with raspberries, blueberries, and strawberries. The number of raspberry pies is half of the total number of pies; the number of blueberry pies is 14 less than the number of raspberry pies. The number of strawberry pies is half the sum of raspberry and blueberry pies together. How many pies of each type did Nadia bake?

Present the answer in LaTex format: \boxed{Your answer}
user