
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
Evaluate the expression:
\[
\left(\frac{\left(z^{2 / p}+z^{2 / q}\right)^{2}-4 z^{2 / p+2 / q}}{\left(z^{1 / p}-z^{1 / q}\right)^{2}+4 z^{1 / p+1 / q}}\right)^{1 / 2}
\]

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