
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 the following expressions.  
(1) Simplify: $$\frac {\sin^{2}(\alpha+\pi)\cdot \cos(\pi+\alpha)\cdot \cot(-\alpha-2\pi)}{\tan(\pi+\alpha)\cdot \cos^{3}(-\alpha-\pi)}$$  
(2) Evaluate: (0.064) $$^{- \frac {1}{3}}$$ + \[(-2)\]<sup>-3</sup> $$^{ \frac {4}{3}}$$ + 16<sup>-0.75</sup> - $\lg \sqrt {0.1}$ - $\log_{2}9 \times \log_{3}2$.

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