\(a,=\dfrac{3}{4}-\dfrac{7}{2}-5=-\dfrac{31}{4}\\ b,=-\dfrac{1}{15}+\dfrac{4}{9}\cdot\dfrac{3}{8}-\dfrac{5}{6}=-\dfrac{9}{10}+\dfrac{1}{6}=-\dfrac{11}{15}\\ c,=\dfrac{1}{12}-\dfrac{4}{15}\cdot\dfrac{5}{6}+\left(-\dfrac{2}{3}\right)^3=\dfrac{1}{12}-\dfrac{2}{9}-\dfrac{8}{27}=-\dfrac{47}{108}\\ d,=\left[2\left(-\dfrac{1}{2}\right)\right]^5-\left[3\cdot\left(-\dfrac{1}{3}\right)\right]^3+\dfrac{2}{3}:\left(\dfrac{5}{3}-\dfrac{13}{6}\right)=-1-\left(-1\right)+\dfrac{2}{3}:\left(-\dfrac{1}{2}\right)=-\dfrac{4}{3}\)