
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) \[\left(5 \frac{4}{9}\right)^{0.5} + \left(0.008\right)^{-\frac{2}{3}} \div \left(0.2\right)^{-1}\]÷0.0625^{0.25};  
(2) \[\left(1-\log_{6}3\right)^{2} + \log_{6}2 \cdot \log_{6}18\]÷\log_{6}4.

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