
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
Given \(x\) varies directly as the fourth power of \(y\), and \(y\) varies directly as the cube of \(z\), determine the exponent \(n\) for the relationship between \(x\) and \(z\).

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