
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
The graph of $y = \frac{p(x)}{q(x)}$ shows vertical asymptotes at $x = -4$ and $x = 1$, and passes through the point $(2, -1)$. If $p(x)$ is linear and $q(x)$ is quadratic, find $\frac{p(3)}{q(3)}$.

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