
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
\(\frac{\sqrt[3]{\sqrt{5}-\sqrt{3}} \cdot \sqrt[6]{8+2 \sqrt{15}}-\sqrt[3]{a}}{\sqrt[3]{\sqrt{20}+\sqrt{12}} \cdot \sqrt[6]{8-2 \sqrt{15}}-2 \sqrt[3]{2 a}+\sqrt[3]{a^{2}}}\).

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