
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}
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