
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
Dave's sister Amy baked $4$ dozen pies. Among these:
- $5/8$ of them contained chocolate.
- $3/4$ of them contained marshmallows.
- $2/3$ of them contained cayenne.
- $1/4$ of them contained salted soy nuts.
Additionally, all pies with salted soy nuts also contained marshmallows. How many pies at most did not contain any of these ingredients?

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