
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
The constant term in the expansion of the binomial $\begin{pmatrix} & {{\left( {{x}^{6}}-\frac{1}{x\sqrt{x}} \right)}^{5}} \\ & \\ \end{pmatrix}$ can be found by finding the term with the product of powers of $x$ and $\frac{1}{x\sqrt{x}}$ equal to 0.

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