
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
Mary, Luis, and Ali walked to the store together to buy some markers. Mary bought 36 markers, Luis bought 45 markers, and Ali bought 75 markers. Given that each package of markers at the store contains the same number of markers, what is the largest possible number of markers in a package?

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