
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 $(\sqrt[3]{2}\times \sqrt{3})^{6}-8\left( \frac{16}{49}\right)^{-\frac{1}{2}}-\sqrt[4]{2}\times8^{0.25}-(-2016)^{0}$.

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