
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) Calculate: $\log_{3} \frac{427}{3} + \lg 25 + \lg 4 + \log_{7} 7^{2} + \log_{2} 3 - \log_{3} 4$;  
(2) $\left(\frac{9}{4}\right)^{\frac{1}{2}} - (-0.96)^{0} - \left(\frac{27}{8}\right)^{-\frac{2}{3}} + \left(\frac{3}{2}\right)^{-2}$.

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