
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) $$\sqrt[3]{(-27)^{2}}+(0.002)^{- \frac {1}{2}}-10( \sqrt {5}-2)^{-1}+( \sqrt {2}- \sqrt {3})^{0}$$  
(2) $\text{lg}25+ \frac {2}{3}\text{lg}8+\text{lg}5\cdot \text{lg}20+(\text{lg}2)^{2}$．

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