
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 numbers. There exists a complex number $v$ such that the three roots of $Q(z)$ are $v+2i$, $v+6i$, and $3v-5$, where $i^2=-1$. Find $p+q+r$.

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