
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. $\sqrt{\frac{4}{9}} - (-9.6)^0 - \left(\frac{27}{8}\right)^{-\frac{2}{3}} + \left(\frac{3}{2}\right)^{-2}$
2. $(\log_5 5)^2 + \log_2 2 \times \log_5 50$

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