
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 sixteen-member math team at Maplewood High School is chosen from the math club, which has seven girls and twelve boys. How many different teams made up of at least three girls and at least five boys could be chosen?

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