
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
Compute: $$\frac{\left(\begin{matrix}a\\begin{matrix}^{ \frac{2}{3}} \\ \\ \; \\ \\ \;\\end{matrix}·b^{-1}\\end{matrix}\right)^{- \frac{1}{2}} ·a- \frac{1}{2}·b^{ \frac{1}{3}} }{ \sqrt[6]{a·b^{5}}}=$$_______.

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