
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
Given that there are $13$ students in Mr. Euler's class, $10$ students in Ms. Noether's class, $12$ students in Mr. Gauss's class, and $7$ students in Mrs. Riemann's class taking the AMC $8$ this year, calculate the total number of mathematics students at Pythagoras Middle School taking the contest.

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