
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
Find the value of each of the following expressions without using a calculator.
\[(1)(2 \frac{1}{4})^{ \frac{1}{2}}-(-9.6)^{0}-(3 \frac{3}{8})^{- \frac{2}{3}}+(1.5)^{-2}\]
\[(2)\log 3 \frac{ 427 }{3}+\log 25+\log 4\]

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