
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
Consider \(x, y, z\) non-zero real numbers. Evaluate the expression:
\[
\left(3x + \frac{y}{3} + 3z\right)^{-1} \left[\left(3x\right)^{-1} + \left(\frac{y}{3}\right)^{-1} + \left(3z\right)^{-1}\right]
\]
**A)** \(xyz^{-1}\)
**B)** \((3xyz)^{-1}\)
**C)** \((9xyz)^{-1}\)
**D)** \(9xyz\)
**E)** \(\text{None of these}\)

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