
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
Hazel, Leo, and Mia went shopping for art supplies and each bought a set number of colored pencils that can only be packaged in boxes containing the same number of pencils. Hazel bought 36 pencils, Leo bought 54 pencils, and Mia bought 72 pencils. What is the largest possible number of pencils that could be in each package?

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