
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 $(\lg 2)^{2}+\lg 5\cdot \lg 20+(\sqrt {2016})^{0}+0.027^{ \frac {2}{3}}\times(\frac {1}{3})^{-2}$;
(2) Given $\frac {3\tan \alpha}{\tan \alpha -2}=-1$, find the value of $\frac {7}{\sin ^{2}\alpha +\sin \alpha \cdot \cos \alpha +\cos ^{2}\alpha }$.

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