
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
(1) Calculate $\log_{2.5} 6.25 + \lg 0.01 + \ln \sqrt{e} - 2^{1+\log_{2} 3}$.
(2) Calculate $64^{\,- \frac{1}{3}} - (- \frac{3 \sqrt{2}}{2})^{0} + [(2)^{-3}]^{\, \frac{4}{3}} + 16^{-0.75}$.

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