
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
If \( x^4 + 6x^3 + 8px^2 + 6qx + r \) is exactly divisible by \( x^3 + 2x^2 + 4x + 2 \), find the value of \( (p + q)r \).
**A)** 36
**B)** 24
**C)** 18
**D)** 42
**E)** 30

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