
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) $0.64^{- \frac {1}{2}} - (-\frac {1}{8})^{0} + 8^{ \frac {2}{3}} + (\frac {9}{16})^{ \frac {1}{2}}$  
(2) $\lg^2 2 + \lg 2 \cdot \lg 5 + \lg 5$.

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