
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
A school has $200$ students and $6$ teachers. During a certain period, each student attends one class, and each teacher teaches one class. The enrollments in the classes are $80, 40, 40, 20, 10,$ and $10$. The classes with $10$ students each are special workshops that combine students from other classes. Let $t$ be the average number of students per class when a teacher is picked at random. Let $s$ be the average number of classmates including themselves every student perceives. What is $t - s$?
A) -20
B) -18.5
C) -17.67
D) -15

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