
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
Simplify the following expressions:

(1) $\dfrac{\cos(\alpha + \pi) \sin(-\alpha)}{\cos(-3\pi - \alpha) \sin(-\alpha - 4\pi)}$

(2) $\dfrac{\cos(\alpha - \frac{\pi}{2})}{\sin(\frac{5\pi}{2} + \alpha)} \cdot \sin(\alpha - 2\pi) \cdot \cos(2\pi - \alpha)$.

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