
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 $5$ dozen cookies, of which one third contained peanuts, one quarter contained chocolate chips, one fifth contained almond bits, and one ninth contained raisins. What is the largest possible number of cookies that had none of these ingredients?

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