
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 the function $f(x+2) = \begin{cases} 
\sin x & \text{for } x \geq 0 \\
\log_2(-x) & \text{for } x < 0 
\end{cases}$, compute $f\left(\frac{21\pi}{4} + 2\right) \cdot f(-14)$.

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