
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 $f(n)$ as the quotient obtained when the sum of all positive divisors of $n$ is added to $n$ and then divided by $n$, calculate $f(540) - f(180)$.

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