<|system|>
Let $p,$ $q,$ $r,$ $s$ be the roots of
\[3x^4 - x + 12 = 0.\]Find $pqr + pqs + prs + qrs.$</s>.
<|user|>
Can you answer based on context?
<|assistant|>
By Vieta's formulas, $pqr + pqs + prs + qrs = \frac{1}{3}.$