
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. Compute the value of the following expression:
$$(1)2\log_{3}2-\log_{3}\frac{32}{9}+\log_{3}8-25^{\log_{5}3}\cdot$$
2. Compute the value of the following expression:
$$(2)\left[\left({0.064}^{\frac{1}{5}}\right)^{-2.5}\right]^{\frac{2}{3}}-\sqrt[3]{3\frac{3}{8}}-\pi^{0}\cdot$$

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