
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  
(1) $$\sqrt{18} - \sqrt{32} + \sqrt{2}$$  
(2) $$\frac{\sqrt{27} - \sqrt{12}}{\sqrt{3}}$$  
(3) $$\sqrt{\frac{1}{6}} + \sqrt{24} - \sqrt{600}$$  
(4) ($$\sqrt{3}$$ + 1)($$\sqrt{3}$$ - 1)

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