
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
If \(x\) varies as the square of \(y\), and \(y\) varies as the cube root of \(z\), determine the value of \(n\) in the relationship \(x\) varies as the nth power of \(z\).

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