
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
$(1)\sqrt{5}-27+|2-\sqrt{5}|-\sqrt{9}+(\frac{1}{2})^{2}$；<br/>$(2)2\sqrt{40}-5\sqrt{\frac{1}{10}}-\sqrt{10}$；<br/>$(3)(3\sqrt{12}-2\sqrt{\frac{1}{3}}-\sqrt{48})÷4\sqrt{3}-{(\sqrt{2}-1)^0}$；<br/>$(4)(-\sqrt{5}+\sqrt{3})(\sqrt{5}+\sqrt{3})+(-\sqrt{3}-1)^{2}$.

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