
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

All graduates of a math school took the Unified State Exam (USE) in mathematics and physical education. The result of each student in mathematics turned out to be equal to the sum of the results of the other students in physical education. How many graduates are there in the school if, in total, the students scored 50 times more points in mathematics than in physical education?

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