
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
Calculate the following expressions:

(1) $( \frac{1}{2} )^{-3} - 2016^{0} - |-5|$;

(2) $(3_{a!}^{2})^{2} - {}_{a!}^{2} \cdot 2_{a!}^{2} + ({-}_{a!}^{3})^{2} \div {}_{a!}^{2}$.

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