
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
In a class of 25 students, 8 are cyclists, 13 are in the swimming section, and 17 are in the skiing section. No student participates in all three sections. All athletes only receive grades of 4 and 5, unlike 6 students who get 3s in math. How many students get 2s in math? How many cyclists participate in the swimming section?

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