
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 school event, 540 students need to be seated in rows with an equal number of students in each row. There must be at least 12 rows and each row must have at least 20 students but no more than 30 students. What is the sum of all possible values for the number of students per row, $x$?

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