
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) Calculate $$(- \frac {27}{8})^{- \frac {2}{3}} + \frac {log_{8}27}{log_{2}3} + (\sqrt {2} - \sqrt {3})^{0} - log_{3}1 + 2lg5 + lg4 - 5^{log_{5}2}$$  
(2) Given $$x^{ \frac {1}{2}} + x^{- \frac {1}{2}} = 3$$, find the value of $$x + x^{-1}$$.

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