
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
During the vacation, for eight classes of a school, each with an equal number of students, a museum excursion was organized, while for the remaining students, who turned out to be $15\%$ more, a field trip to the puppet theater was arranged. How many students are in the school, given that there are no more than 520 of them, and more than 230 students participated in the excursion?

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