\(-\dfrac{17}{14}:\left(-\dfrac{34}{7}\right)+\dfrac{10}{3}\left(\dfrac{1}{5}-\dfrac{3}{4}\right)-\dfrac{6}{5}\left(\dfrac{1}{3}-\dfrac{5}{6}\right)\)
\(=\dfrac{17}{14}.\dfrac{7}{34}+\dfrac{10}{3}.\left(-\dfrac{11}{20}\right)-\dfrac{6}{5}.\left(-\dfrac{9}{18}\right)\)
\(=\dfrac{1}{4}-\dfrac{11}{6}+\dfrac{9}{15}\)
\(=\dfrac{15-110+36}{60}\)
\(=-\dfrac{59}{60}\)