
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
According to a survey conducted in the 7th "E" grade class, it was found that $20\%$ of the students who are interested in mathematics are also interested in physics, and $25\%$ of the students who are interested in physics are also interested in mathematics. Only Peter and Vasya are not interested in either of these subjects. How many students are there in the 7th "E" grade class, given that there are more than 20 but less than 30 of them?

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