
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 $r_1$ and $r_2$ be the roots of the quadratic equation $x^2 + qx + p = 0$. The quadratic equation $x^2 + px + n = 0$ has roots that are $3r_1$ and $3r_2$. Given that none of $p$, $q$, and $n$ is zero, find the value of $n/q$.

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