
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 certain high school offers its students the choice of two sports: football and basketball. One fifth of the footballers also play basketball, and one seventh of the basketball players also play football. There are 110 students who practice exactly one of the sports. How many of them practice both sports?

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