
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
Lucy, Mia, and Noah went on a shopping trip for markers. Lucy bought 30 markers, Mia bought 45 markers, and Noah bought 75 markers. If each package of markers sold 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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