
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
(1) $\sqrt{5 \frac{1}{16}} - 2 \times \left(2 \frac{10}{27}\right)^{-\frac{2}{3}} - 2 \times \frac{\left(\sqrt{2+\pi}\right)^{0}}{\left(\frac{3}{4}\right)^{-2}}$;
(2) $2\log_2 5 + \frac{2}{3}\log_2 8 + \log_2 5 \times \log_2 20 + (\log_2 2)^{2}$.

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