
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 that \(p\), \(q\), \(r\), and \(s\) are nonzero real numbers, find all possible values of the expression
\[
\frac{p}{|p|} + \frac{q}{|q|} + \frac{r}{|r|} + \frac{s}{|s|} + \frac{pqr}{|pqr|} + \frac{prs}{|prs|}.
\]

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