
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) $(\frac{2}{3})^{-2} + (1 - \sqrt{2})^{0} - (3\frac{3}{8})^{\frac{2}{3}}$;  
(2) $\frac{2\lg 2 + \lg 3}{1 + \frac{1}{2}\lg 0.36 + \frac{1}{3}\lg 8}$.

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