
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
$$\frac{\sqrt{\left(\frac{p^{4}+q^{4}}{p^{4}-p^{2} q^{2}}+\frac{2 q^{2}}{p^{2}-q^{2}}\right) \cdot\left(p^{3}-p q^{2}\right)}-2 q \sqrt{p}}{\sqrt{\frac{p}{p-q}-\frac{q}{p+q}-\frac{2 p q}{p^{2}-q^{2}}} \cdot(p-q)}.$$

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