
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. $(\frac{9}{4})^{\frac{1}{2}} - (-2.5)^0 - (\frac{8}{27})^{\frac{2}{3}} + (\frac{3}{2})^{-2}$
2. $\log_{3}81 + \lg20 + \lg5 + 4^{\log_{4}2} + \log_{5}1$

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