
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 that $C_{x}^{m} = \frac{x(x-1)\ldots(x-m+1)}{m!}$ where $x \in \mathbb{R}$ and $m$ is a positive integer, this is a generalization of the binomial coefficient $C_{n}^{m}$ (where $m$ and $n$ are positive integers, and $m \leq n$). Suppose $x > 0$, find the minimum value of $\frac{C_{x}^{3}}{(C_{x}^{1})^2}$.

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