
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
The students of a school formed a circle. Jonas and Amanda, who were not in the circle, decided to count the students in the circle. Each of them started at a different student but followed the same direction. Marcos was number 37 in Jonas's count and number 15 in Amanda's count. Nair was number 3 in Jonas's count and number 201 in Amanda's count. How many students does the school have?

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