
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
Let $p(x)$, $q(x)$, and $r(x)$ be polynomials such that $r(x) = p(x) \cdot q(x)$. If the constant term of $p(x)$ is $5$ and the leading coefficient of $p(x)$ as a quadratic polynomial is $2$, and the constant term of $r(x)$ is $-15$, what is $q(0)$?

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