
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 the rational function \(\frac{p(x)}{q(x)}\) is shown below, with a horizontal asymptote of \(y = 0\) and vertical asymptotes at \(x = -2\) and \(x = 1\). If \(q(x)\) is cubic, \(p(3) = 2\), and \(q(3) = 4\), find \(p(x) + q(x)\). Assume there is a hole at \(x=0\).

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