
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 $C_{x}^{m}=\frac{x(x-1)…(x-m+1)}{m!}$, where $x\in R$, $m$ is a positive integer, this is an extension of the combination number $C_{n}^{m}$ ($m$, $n$ are positive integers, and $m\leqslant n$). If $x > 0$, find the minimum value of $\frac{C_{x}^{3}}{(C_{x}^{1})^{2}}$ .

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