
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. $2(\sqrt{5} - 1) - \sqrt{5}$
2. $\sqrt{3}(\sqrt{3} + \frac{4}{\sqrt{3}})$
3. $|\sqrt{3} - 2| + 3 - 27 + \sqrt{(-5)^2}$

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