
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
Let $x$, $y$, and $z$ be positive numbers such that:
\begin{align*}
x^2/y &= 3, \\
y^2/z &= 4, \\
z^2/x &= 5.
\end{align*}
Find $x$.

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