
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 the classroom, there are some single desks (each desk can seat no more than one person; there are no other desks in the classroom). During recess, a quarter of the students went out into the corridor, and the number of people remaining in the classroom was equal to 4/7 of the total number of desks. How many desks are in the classroom if there are no more than 30 desks?

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