
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 function $\frac{p(x)}{q(x)}$, where $p(x)$ is a linear polynomial and $q(x)$ is a cubic polynomial. Given that $p(1) = 1$, and $q(-1) = -3$, and noting that there is a vertical asymptote at $x = 2$ and a hole at $x = -1$, find $p(x) + q(x)$.

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