
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
A librarian receives 130 Math books and 195 Portuguese books. She wants to arrange them on shelves, placing an equal number of books on each shelf, without mixing Math and Portuguese books on the same shelf. How many books should she place on each shelf so that the number of shelves used is minimized?

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