$$\left. \begin{array} { l } { 17 x + 12 = 3 , 275 x = - 3 , 245 43 = 5 , 6 } \\ { 75 x ^ { 2 } 25 x = 910136 x + 5 , 5015 x + 5 , 6025 x + 813 = 727 , 782 \right.$$
$x=-\frac{9}{17},\ x=-\frac{3}{275},\ \text{false},\ x=-\frac{2^{\frac{2}{3}}\left(1125+\sqrt{3015635661185116199}i\right)^{-\frac{1}{3}}\left(-\sqrt{3}i+1\right)\left(\left(-1+\sqrt{3}i\right)\left(1125+\sqrt{3015635661185116199}i\right)^{\frac{2}{3}}+1820272\times 2^{\frac{2}{3}}\right)}{600}\text{ or }x=-\frac{2^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(1125+\sqrt{3015635661185116199}i\right)^{-\frac{1}{3}}\left(\left(1125+\sqrt{3015635661185116199}i\right)^{\frac{2}{3}}\left(-\sqrt{3}i-1\right)+1820272\times 2^{\frac{2}{3}}\right)}{600}\text{ or }x=\frac{2^{\frac{2}{3}}\left(1125+\sqrt{3015635661185116199}i\right)^{-\frac{1}{3}}\left(\left(1125+\sqrt{3015635661185116199}i\right)^{\frac{2}{3}}+910136\times 2^{\frac{2}{3}}\right)}{150},\ x=-\frac{86}{6025},\ y=6,\ z=5\left(1003x+1\right),\ a=782$