
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:  
(1) $2\log_{3}2-\log_{3}\frac{32}{9}+\log_{3}8-5^{log_{5}3}$  
(2) $\log_{2}25 \cdot \log_{3}4 \cdot \log_{5}9$

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