
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 $y = \frac{r(x)}{s(x)}$, where $r(x)$ and $s(x)$ are quadratic polynomials, has a horizontal asymptote at $y = -3$ and one vertical asymptote at $x = 3$. Additionally, the graph passes through the point $(2, 0)$ and has a hole at $x = -1$. Find $\frac{r(0)}{s(0)}$.

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