
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 expression:

$$
\frac{\cos \left(2 x+\frac{\pi}{2}\right) \sin \left(\frac{3 \pi}{2}-3 x\right)-\cos (2 x-5 \pi) \cos \left(3 x+\frac{3 \pi}{2}\right)}{\sin \left(\frac{5 \pi}{2}-x\right) \cos 4 x+\sin x \cos \left(\frac{5 \pi}{2}+4 x\right)}
$$

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