\[\boxed{\text{330\ (330).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ 5 \cdot (x - 13)(x + 24) < 0\]
\[5 \cdot (x + 24)(x - 13) < 0\]
\[x \in ( - 24;13).\]
\[\textbf{б)} - \left( x + \frac{1}{7} \right)\left( x + \frac{1}{3} \right) \geq 0\]
\[\left( x + \frac{1}{3} \right)\left( x + \frac{1}{7} \right) \leq 0\]
\[x \in \left\lbrack - \frac{1}{3};\ - \frac{1}{7} \right\rbrack.\]
\[\textbf{в)}\ (x + 12)(3 - x) > 0\]
\[(x + 12)(x - 3) < 0\]
\[x \in ( - 12;3).\]
\[\textbf{г)}\ (6 + x)(3x - 1) \leq 0\]
\[3 \cdot (x + 6)\left( x - \frac{1}{3} \right) \leq 0\]
\[x \in \left\lbrack - 6;\frac{1}{3} \right\rbrack.\]