
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 expression:
$$(1)(\sqrt[3]{2} \times \sqrt{3})^{6}+(\sqrt{2\sqrt{2}})^{\frac{4}{3}}-4 \times (\frac{16}{49})^{-\frac{1}{2}}-\sqrt[4]{2} \times 8^{0.25}-(-2005)^{0}(2)\frac{(1-\log_{6}3)^{2}+\log_{6}2 \cdot \log_{6}18}{\log_{6}4}$$

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