
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 \( y = \frac{r(x)}{s(x)} \) is given, where \( r(x) \) and \( s(x) \) are quadratic polynomials. It's known that there is a hole at \( x = 4 \), a zero at \( x = 0 \), a horizontal asymptote at \( y = -2 \), and a vertical asymptote at \( x = 3 \). Calculate \( \frac{r(1)}{s(1)} \).

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