
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
\( 4 \cos \left(\alpha-\frac{\pi}{2}\right) \sin ^{3}\left(\frac{\pi}{2}+\alpha\right)-4 \sin \left(\frac{5}{2} \pi-\alpha\right) \cos ^{3}\left(\frac{3}{2} \pi+\alpha\right) \).

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