
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:
\[(1)0.064\;^{-\frac{1}{3}} - \left(-\frac{7}{8}\right)^{0} + 16^{0.75} + 0.01\;^{\frac{1}{2}};\]
\[(2)2\log_{3}2 - \log_{3}\frac{32}{9} + \log_{3}8 - 25^{\log_{5}3}.\]

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