
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 $$1.5^{- \frac {1}{3}}$$×$$(- \frac {7}{6})^{0}$$+$$8^{0.25}$$×$$42$$+$$\left( 32 \times \sqrt {3}\right)^{6}$$-$$\sqrt {\left(- \frac {2}{3}\right)^{ \frac {2}{3}}}$$;  
(2) Given $$x^{ \frac {1}{2}}$$+$$x^{- \frac {1}{2}}$$=3, find the value of $$\frac {x+x^{-1}+2}{x^{2}+x^{-2}-2}$$.

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