
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. $(1)(\sqrt{48} - 4\sqrt{\frac{1}{8}}) - (2\sqrt{\frac{1}{3}} - 2\sqrt{0.5})$
2. $\sqrt{(-2)^2} - |1 - \sqrt{3}| + (3 - \sqrt{3})(1 + \frac{1}{\sqrt{3}})$

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