
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
Consider the graph of $y = \frac{r(x)}{s(x)}$, where $r(x)$ is linear and $s(x)$ is quadratic. The graph has vertical asymptotes at $x = -2$ and $x = 3$, and passes through the points $(0,0)$ and $(1,-2)$.
Calculate $\frac{r(2)}{s(2)}$.

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