\[12\sqrt[3]{- \frac{1}{27}} + 15\sqrt[4]{3\frac{13}{81}} =\]
\[= 12 \cdot \left( - \frac{1}{3} \right) + 15\sqrt[4]{\frac{256}{81}} = - 4 + 15 \cdot \frac{4}{3} =\]
\[= - 4 + 20 = 16.\]