
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 a school with 100 students and 5 teachers, where the enrollments in the classes are 50, 20, 20, 5, and 5, calculate the value of $t-s$, where $t$ is the average number of students in a class when a teacher is picked at random, and $s$ is the average number of students in a class when a student is picked at random.

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