
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
The class bookshelf has a total of 12 popular science books. It is known that each member of the math club has borrowed exactly two of these books, and each popular science book has been borrowed by exactly 3 members of the math club. How many members are there in the math club?

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