
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) $2\log_{3}2-\log_{3} \frac {32}{9}+\log_{3}8-5^{{\log_{5}3}}+({\log_{10}5})^{2}+\log_{10}2\times\log_{10}50$

(2) $2^{- \frac {1}{2}}+ \frac {1}{0.064^{ \frac {1}{3}}}-\frac {(-4)^{0}}{ \sqrt {2}}+2^{-2}\times({\frac {4}{9}})^{ \frac {1}{2}}$

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