\[\boxed{\text{688\ (688).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[27x^{3} - 1 - 27x^{3} + 36x = 17\]
\[36x = 18\]
\[x = \frac{1}{2} = 0,5\]
\[Ответ:x = 0,5.\]
\[x^{3} + 64 - x\left( x^{2} - 49 \right) = 15\]
\[x^{3} + 64 - x^{3} + 49x = 15\]
\[49x = - 49\]
\[x = - 1\]
\[Ответ:\ x = - 1.\]
\[x^{3} + 216 - x\left( x^{2} - 18x + 81 \right) =\]
\[= 18x^{2} - 54x\]
\[x^{3} + 216 - x^{3} + 18x^{2} - 81x =\]
\[= 18x^{2} - 54x\]
\[- 27x = - 216\]
\[x = 8\]
\[Ответ:x = 8.\]