
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 the value of the following expressions:  
(1) $$(1.5)^{-2} + (-9.6)^{0} - \left(3 \frac {3}{8}\right)^{- \frac {2}{3}} + \sqrt {(\pi-4)^{2}} + \sqrt[3]{(\pi -2)^{3}}$$  
(2) $$2\log_{3}2 - \log_{3} \frac {32}{9} + \log_{3}8$$.

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