
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 $y = \frac{p(x)}{q(x)}$ is a rational function, where $p(x)$ is quadratic and $q(x)$ is quadratic as well. Vertical asymptotes are at $x = -3$ and $x = 2$, and the graph passes through the points $(0,0)$ and $(1,2)$. Find $\frac{p(1)}{q(1)}$.

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