
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
Simplify:<br/>
$(1)\frac{\sqrt{20}+\sqrt{5}}{\sqrt{5}}-2$;<br/>
$(2)(\sqrt{12}-\sqrt{48}+3\sqrt{\frac{1}{3}})÷2\sqrt{3}$;<br/>
$(3)\sqrt[3]{-8}-(\frac{1}{3})^{-1}+202{3}^{0}$;<br/>
$(4)(2\sqrt{3}-1)^{2}+(\sqrt{3}+2)(\sqrt{3}-2)$.

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