
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 the expression:  
(1) $0.064^{- \frac {1}{3}} - (-\frac {1}{8})^{0} + 16^{ \frac {3}{4}} + 0.25^{ \frac {1}{2}}$  
(2) $\frac {1}{2}\lg25 + \lg2 + (\frac {1}{3})^{log_{3}2} - \log_{2}9 \times \log_{3}2.$

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