
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. $(\frac{9}{4})^{\frac{1}{2}} - (-1.2)^0 - (\frac{27}{8})^{-\frac{2}{3}} + (\frac{3}{2})^{-2}$;
2. $\log_{3}{\sqrt[4]{27}} + \lg{25} + \lg{4} - 7^{\log_{7}{2}}$.

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