
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. $\sqrt{\frac{25}{9}} - \left(\frac{8}{27}\right)^{\frac{1}{3}} - (\pi + e)^0 + \left(\frac{1}{4}\right)^{-\frac{1}{2}}$
2. $(\log_2 2)^2 + \log_2 2 \log_2 5 + \sqrt{(\log_2 2)^2 - \log_2 4 + 1}$

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