1)
$$5\frac{3}{4} \cdot 8 - 2\frac{1}{3} - 1\frac{1}{14} \cdot 2\frac{37}{18} \cdot 2\frac{2}{15} = \frac{23}{4} \cdot 8 - \frac{7}{3} - \frac{15}{14} \cdot \frac{73}{18} \cdot \frac{32}{15} = $$
$$= 23 \cdot 2 - \frac{7}{3} - \frac{1}{7} \cdot \frac{73}{9} \cdot \frac{16}{1} = 46 - \frac{7}{3} - \frac{1168}{63} = 46 - \frac{7 \cdot 21}{3 \cdot 21} - \frac{1168}{63} = 46 - \frac{147}{63} - \frac{1168}{63} = $$
$$= 46 - \frac{1315}{63} = 46 - 20\frac{55}{63} = 25 \frac{8}{63}$$
Ответ: $$25 \frac{8}{63}$$