
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
Compute the following expressions:
(1) $\sqrt {27} \div \sqrt {3} - 16 \times 4^{-1} + |-5| - (3 - \sqrt {3})^{0}$
(2) $2\tan 30^{\circ} - |1 - \sqrt {3}| + (2014 - \sqrt {2})^{0} + \sqrt {\frac {1}{3}}$

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