
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 following expressions:  
(1) $$\frac {1}{2}\lg25+\lg2-\lg \sqrt {0.1}-\log_{2}9\times\log_{3}2$$;  
(2) $$64^{\frac {1}{3}}-(-\frac {2}{3})^{0}+(\frac {1}{16})^{-\frac {1}{2}}+\lg20+\log_{100}25$$.

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