
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 shown below, where $p(x)$ is linear and $q(x)$ is quadratic. Assume that the grid lines are at integers.

[asy]
unitsize(0.6 cm);

real func (real x) {
  return (-3*x/((x - 1)*(x + 5)));
}

int i;

for (i = -7; i <= 7; ++i) {
  draw((i,-7)--(i,7),gray(0.7));
  draw((-7,i)--(7,i),gray(0.7));
}

draw((-7,0)--(7,0));
draw((0,-7)--(0,7));
draw((-5,-7)--(-5,7),dashed);
draw((1,-7)--(1,7),dashed);
draw(graph(func,-7,-5.1),red);
draw(graph(func,-4.9,0.9),red);
draw(graph(func,1.1,7),red);

limits((-7,-7),(7,7),Crop);
[/asy]

Find $\frac{p(-1)}{q(-1)}.$

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