
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) Evaluate the expression $(1)(2 \frac{3}{5})^{0}+2^{-2}\cdot (2 \frac{1}{4})^{ \frac{1}{2}}+( \frac{25}{36})^{0.5}+ \sqrt{(-2)^{2}}$.

(2) Simplify the expression $(\log_2 2)^{2}+\log_5 20\cdot\log_2 2+\log_{10} 100$.

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