
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
Find the range of the function \(f(x) = \frac{1}{g\left(\frac{64 g\left(16 g\left(\log_{2} x\right)\right)}{5}\right)}\), where \(g(x) = \sqrt[5]{x} + \frac{1}{\sqrt[5]{x}}\).

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