
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
Compute the following expressions:
1. $0.064^{-\frac{1}{3}} - (- \frac{2}{3})^{0} + [(-2)^{4}]^{\frac{3}{4}} + 0.01^{\frac{1}{2}}$
2. $\frac{1}{2}\log_{10}125 + 2^{\log_{2}3} + \log_{10}2\sqrt{2}$.

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