
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
Compute the following expressions:
1. $(1)(\frac{9}{4})^{\frac{1}{2}} - (-2.5)^{0} - (\frac{8}{27})^{\frac{2}{3}} + (\frac{3}{2})^{-2}$
2. $(2)(\log_{10} 5)^{2} + \log_{10} (2 \cdot \log_{10} 50)$

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