
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) Calculate 
$$
\left(5 \frac{1}{16}\right)^{0.5} - 2 \times \left(2 \frac{10}{27}\right)^{-\frac{2}{3}} - 2 \times (\sqrt{2+\pi})^{0} \div \left(\frac{3}{4}\right)^{-2}.
$$
(2) Calculate 
$$
9^{\log_{3}2} - 4\log_{4}3 \cdot \log_{27}8 + \frac{1}{3}\log_{6}8 - 2\log_{6^{-1}}\sqrt{3}.
$$

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