
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
At a social gathering, each man danced with exactly four women, and each woman danced with exactly three men. Twelve men attended the gathering. How many women attended the gathering?

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