
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 $(\lg)_2^{2}+ (\lg)_2\cdot (\lg)_5+ (\lg)_5$;
(2) Calculate ${\left( \sqrt[3]{2}\times \sqrt{3}\right)}^{6}-8{\left( \frac{16}{49}\right)}^{- \frac{1}{2}}- \sqrt[4]{2}\times{8}^{0.25}-{\left(-2016\right)}^{0} $.

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