
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 120 students and 4 teachers. In the first period, each student is taking one class, and each teacher is teaching one class. The enrollments in the classes are 60, 30, 20, and 10. Calculate the average number of students in a class counted by a randomly picked teacher minus the average number of students in a class counted by a randomly picked student.

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