
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 \( Q(z) = x^3 + px^2 + qx + d \), where \( p, q, \) and \( d \) are real numbers. There exists a complex number \( v \) such that the three roots of \( Q(z) \) are \( v + 2i, v + 6i, \) and \( 3v - 5 \). Find \( p + q + d \).

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