
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) $\sqrt {18} - \sqrt {32} + \sqrt {2}$

(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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