Find the integral $\int x\left(5x-2\right)^3dx$

$\left(7x^{\frac{2}{3}}\left(x y^{121\left(-1\right)}\right)^{\frac{1}{2}}\right)^4$

$\left(1\left(81\right)\left(-1\right)\right)^{\frac{1}{4}}$

$\left(x^{15} y^{20} z^{25}\right)^{\frac{1}{3}}$

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{121\left(-1\right)}\right)^a\right)^2\right)^{\frac{1}{a}}$

$\left(81a^{12} b^{24}\right)^{\frac{1}{4}}$

$\sqrt{2\cdot 2\sqrt{5-3\sqrt{20}}}$

$\left(\left(-1\right)\cdot \frac{27}{64}\right)^{\frac{1}{3}}$