
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
Simplify and evaluate:
$(1)0.064\;^{- \frac {1}{3}}-(- \frac {1}{8})^{0}+16\;^{ \frac {3}{4}}+0.25\;^{ \frac {1}{2}}$;
$(2) \frac {1}{2}\lg 2.5+\lg 2-\lg \sqrt {0.1}-\log _{2}9\times\log _{3}2.$

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