
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 $x \neq 0, \frac{x}{3} = y^3$ and $\frac{x}{6} = 3y$, find the value of $x$.
A) $9\sqrt{6}$
B) $12\sqrt{6}$
C) $15\sqrt{6}$
D) $18\sqrt{6}$
E) $24\sqrt{6}$

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