
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) Simplify: $\frac{\sin (\pi - \alpha) \cos (3\pi - \alpha) \tan (-\alpha - \pi) \tan (\alpha - 2\pi)}{\tan (4\pi - \alpha) \sin (5\pi + \alpha)}$
(2) Given $\tan \alpha = 3$, calculate the value of $\frac{4\sin \alpha - 2\cos \alpha}{5\cos \alpha + 3\sin \alpha}$.

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