\(A=\dfrac{1135}{23}-\left(\dfrac{167}{32}+\dfrac{330}{23}\right)\)

\(A=\dfrac{1135}{23}-\left(\dfrac{3841}{736}+\dfrac{10560}{736}\right)\)

\(A=\dfrac{1135}{23}-\dfrac{14401}{736}\)

\(A=\dfrac{36320}{736}-\dfrac{14401}{736}\)

\(A=\dfrac{21919}{736}=\dfrac{953}{32}\)

\(B=\dfrac{51}{8}+\dfrac{11}{2}\)

\(B=\dfrac{51}{8}+\dfrac{44}{8}\)

\(B=\dfrac{95}{8}\)

\(C=\dfrac{-3}{7}.\dfrac{5}{9}+\dfrac{4}{9}.\dfrac{-3}{7}+\dfrac{17}{7}\)

\(C=\dfrac{-3}{7}.\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{17}{7}\)

\(C=\dfrac{-3}{7}.1+\dfrac{17}{7}\)

\(C=\dfrac{-3}{7}+\dfrac{17}{7}\)

\(C=\dfrac{14}{7}=2\)

\(D=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)

\(D=\dfrac{58}{7}-\left(\dfrac{217}{63}+\dfrac{270}{63}\right)\)

\(D=\dfrac{58}{7}-\dfrac{487}{63}\)

\(D=\dfrac{522}{63}-\dfrac{487}{63}\)

\(D=\dfrac{35}{65}=\dfrac{5}{9}\)

\(a,8:\left(\dfrac{1}{3}-\dfrac{1}{2}\right)^3=8:\left(\dfrac{2}{6}-\dfrac{3}{6}\right)^3=8:\left(-\dfrac{1}{6}\right)^3=8:\dfrac{-1}{216}=8.-\dfrac{216}{1}=\dfrac{-1728}{1}=-1728\)

\(b,6,75+\dfrac{-1}{8}+\dfrac{1}{4}-5.\dfrac{-3}{8}=\dfrac{27}{4}+\dfrac{-1}{8}+\dfrac{1}{4}-\left(-\dfrac{15}{8}\right)=\dfrac{54}{8}+\dfrac{-1}{8}+\dfrac{2}{8}+\dfrac{15}{8}=\dfrac{70}{8}=\dfrac{35}{4}\)