
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
(1) Calculate: $27^{\frac{2}{3}} + 16^{-\frac{1}{2}} - \left(\frac{1}{2}\right)^{-2} - \left(\frac{8}{27}\right)^{-\frac{2}{3}}$;

(2) Simplify: $\left(\sqrt{a-1}\right)^{2} + \sqrt{(1-a)^{2}} + \sqrt[3]{(1-a)^{3}}$.

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