
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 $Q(z)=x^3+px^2+qx+r$, where $p$, $q$, and $r$ are real. Given that the roots of $Q(z)$ are $u+2i$, $u-2i$, and $2u+5$, where $u$ is a real number, find $p+q+r$.

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