
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
Simplify the mathematical expression: 

$$\left(\left(\frac{a \sqrt[3]{b}}{b \sqrt{a^{3}}}\right)^{3 / 2}+\left(\frac{\sqrt{a}}{a \sqrt[8]{b^{3}}}\right)^{2}\right):\left(a^{1 / 4}+b^{1 / 4}\right)$$

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