
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
Given that $\frac{p(x)}{q(x)}$ is a rational function where $q(x)$ is quadratic, $p(-1) = -1$, $q(1) = 3$, and the function value at $x = 0$ is $4$, find $p(x) + q(x)$ if $p(x)$ is linear.

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