
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) $\left( \frac{27}{8} \right)^{-\frac{2}{3}} -\left( \frac{49}{9} \right)^{\frac{1}{2}} + (0.2)^{-2} \cdot \frac{3}{25}$;  
(2) $-5\log_{9}4 + \log_{3}\frac{32}{9} - 5^{\log_{5}3}$.

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