\(\left(-\dfrac{5}{12}+\dfrac{1}{4}+\dfrac{1}{6}\right):\left(\dfrac{17}{28}+\dfrac{18}{29}-\dfrac{19}{30}-\dfrac{20}{31}\right)\)
\(=\left(-\dfrac{5}{12}+\dfrac{3}{12}+\dfrac{2}{12}\right):\left(\dfrac{17}{28}+\dfrac{18}{29}-\dfrac{19}{30}-\dfrac{20}{31}\right)\)
\(=\left(-\dfrac{5}{12}+\dfrac{5}{12}\right):\left(\dfrac{17}{28}+\dfrac{18}{29}-\dfrac{19}{30}-\dfrac{20}{31}\right)\)
\(=0:\left(\dfrac{17}{28}+\dfrac{18}{29}-\dfrac{19}{30}-\dfrac{20}{31}\right)\)
\(=0\)