
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
Sally baked 5 dozen pies. Of these pies, one third contained chocolate, three quarters contained blueberries, two fifths contained vanilla, and one tenth contained almonds. 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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