
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 the following expressions:
(I) $(2 \frac{1}{4})^{\frac{3}{2}} + 0.2^{-2} - \pi^{0} + (\frac{1}{27})^{-\frac{1}{3}}$;
(II) $\log_{3}(9 \times 27^{2}) + \log_{2}6 - \log_{2}3 + \log_{4}3 \times \log_{3}16$.

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