
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
Laura's brother baked $3$ dozen cookies, of which $2/3$ contained peanuts, $1/3$ contained chocolate chips, $1/4$ contained raisins, and $1/8$ contained oats. Assuming there could be overlaps in contents, what is the largest possible number of cookies that had none of these ingredients?

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