
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
Given that $\frac{\tan \alpha}{\tan \alpha - 1} = -1$, find the values of the following expressions:
&#x25CF; $\frac{\sin \alpha - 3 \cos \alpha}{\sin \alpha + 2 \cos \alpha}$;
&#x25CF; $\frac{\sin (\pi - \alpha) \cos (\pi + \alpha) \cos (\frac{\pi}{2} + \alpha) \cos (\frac{\pi}{2} - \alpha)}{\cos (\pi - \alpha) \sin (3\pi - \alpha) \sin (-\pi - \alpha) \sin (\frac{\pi}{2} + \alpha)}$.

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