
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
$(1)\sqrt{18}-|2-3|+\sqrt{\frac{1}{2}}$；<br/>$(2)\sqrt[3]{27}+\sqrt{3}(\sqrt{3}+2)-\sqrt{16}-|3-\sqrt{12}|$.

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