
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
\[
\frac{b^{-1 / 6} \cdot \sqrt{a^{3} b} \cdot \sqrt[3]{a^{3} b}-\sqrt{a^{3} b^{2}} \cdot \sqrt[3]{b^{2}}}{\left(2 a^{2}-b^{2}-a b\right) \cdot \sqrt[6]{a^{9} b^{4}}} : \left( \frac{3 a^{3}}{2 a^{2}-a b-b^{2}} - \frac{a b}{a-b} \right)
\]

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