
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:  
(1) ($$\sqrt[3]{2} \times \sqrt{3}$$)^6 + ($$\sqrt{2\sqrt{2}}$$)$$^{\frac{4}{3}}$$ - 4 × ($$\frac{16}{49}$$)$$^{-\frac{1}{2}}$$ - $$\sqrt[4]{2}$$ × 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