
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
There is a group of monomials arranged according to a certain rule: $x$, $-\sqrt{2}x^{2}$, $\sqrt{3}x^{3}$, $-\sqrt{4}x^{4}$, $\sqrt{5}x^{5}$, $\ldots$. The $10$th monomial is ____.

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