
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
An educational summer program is organizing groups of students for a photo. There are fewer than 500 students in total. When the students group into columns of 25, there are 24 people in the last column. When grouped into columns of 21, there are 14 people in the last column. How many students are there in the program?

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