
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 fourth power of \(y\), and \(y\) varies as the cube root of \(z\), then \(x\) varies as the nth power of \(z\), where n is:
**A)** \( \frac{1}{4} \)
**B)** \( \frac{1}{3} \)
**C)** \( \frac{3}{4} \)
**D)** \( \frac{4}{3} \)

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