
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
Evaluate the expression: 

$$
\frac{x^{1 / 6}-y^{1 / 6}}{x^{1 / 2}+x^{1 / 3} y^{1 / 6}} \cdot \frac{\left(x^{1 / 3}+y^{1 / 3}\right)^{2}-4 \sqrt[3]{x y}}{x^{5 / 6} y^{1 / 3}-x^{1 / 2} y^{2 / 3}}+2 x^{-2 / 3} y^{-1 / 6}
$$

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