
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
\[
\left(\left(\sqrt{mn} - \frac{mn}{m+\sqrt{mn}}\right) \div \frac{\sqrt[4]{mn} - \sqrt{n}}{m-n} - m \sqrt{n}\right)^{2} \div \sqrt[3]{mn \sqrt{mn}} - \left(\frac{m}{\sqrt{m^{4}-1}}\right)^{-2}.
\]

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