
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
Simplify and evaluate the following expressions:
1. $(\frac{16}{81})^{-\frac{3}{4}} - 0.5^{-\frac{1}{2}} + \pi^0 - \sqrt{(\sqrt{2} - 3)^2}$
2. $(\log_5 5)^2 + \log_2 (1 + \log_5 5) - e^{\ln 2}$

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