
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 following expressions:
(1) \(2\log_{3}2-\log_{3}\frac{32}{9}+\log_{3}8-25^{log_{5}3}\);
(2) \(\left(2\frac{1}{4}\right)^{\frac{1}{2}}-(-7.8)^0-\left(3\frac{3}{8}\right)^{\frac{2}{3}}+\left(\frac{2}{3}\right)^{-2}\).

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