
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 Mrs. Germain has $15$ students, Mr. Newton has $12$ students, and Mrs. Young has $9$ students taking the AMC $8$, and $3$ students from Mrs. Young's class are also in Mr. Newton's class, determine the total number of students at Euclid Middle School who are taking the contest.

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