
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
\[
\frac{a b^{2 / 3}-\sqrt[3]{b^{2}}-a+1}{\left.(1-\sqrt[3]{a})(\sqrt[3]{a}+1)^{2}-\sqrt[3]{a}\right)\left(b^{1 / 3}+1\right)}+\sqrt[3]{a b} \cdot\left(\frac{1}{\sqrt[3]{a}}+b^{-1 / 3}\right)
\]

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