
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. $\dfrac{3}{\sqrt{3}} - (\sqrt{3})^2 - \sqrt{27} + |\sqrt{3} - 2|$
2. $\left(\dfrac{x+2}{x^2-2x} - \dfrac{x-1}{x^2-4x+4}\right) \div \dfrac{x-4}{x}$.

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