
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:
1. $(2 \frac{1}{4})^{ \frac{1}{2}} - (-2018)^{0} - (3 \frac{3}{8})^{ \frac{2}{3}} + ( \frac{2}{3})^{-2}$
2. $100^{ \frac{1}{2}\lg 9 - \lg 2} + \ln \sqrt[4]{e^{3}} - \log_{9}8 \cdot \log_{4} \sqrt[3]{3}$.

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