
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
Calculate:
(1) $$(2\frac{1}{4})^{\frac{1}{2}}-(-9.6)^{0}-(3\frac{3}{8})^{-\frac{2}{3}}+(\frac{3}{2})^{-2}$$;
(2) $$\log_{2.5}6.25+\lg\frac{1}{100}+\ln(e\sqrt{e})+\log_{2}(\log_{2}16)$$.

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