
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:
\begin{align*}
(1) \sqrt{(2 \frac{1}{4})} - (-9.6)^{0} - (3 \frac{3}{8})^{-\frac{2}{3}} + (1.5)^{-2}; \\
(2) \log_{3} \frac{427}{3} + \log 25 + \log 4 + 7^{\log_{7}2}.
\end{align*}

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