
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 150 students and 6 teachers, each instructing classes of 60, 40, 30, 10, 5, and 5 students respectively, calculate the value of t-s, where t is the average number of students in the class taught by a randomly chosen teacher and s is the average number of students in the class of a randomly selected student, including themselves.

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