
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
Jenny baked 48 pies for a large family gathering. Here's how her pies were divided on the basis of their ingredients:
  - $5/8$ of the pies contained strawberries.
  - $3/4$ contained bananas.
  - $2/3$ contained kiwifruit.
  - $1/4$ contained coconut flakes.
What is the largest possible number of pies that had none of these ingredients?

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