$\int_0^{\frac{\sqrt{3}}{2}}\frac{t^2}{\left(1-t^2\right)^{\frac{3}{2}}}dx$

$\left(5b^2c^5-2a^4\right)^2$

$x\left(12y-\frac{25}{4}zy\right)$

$\left(2a-9b\right)^3$

$cos^2\left(\frac{\pi}{7}\right)-sin^2\left(\frac{\pi}{7}\right)$

$\int\left(x^3-2\right)^2\cdot3x^2dx$

$\left(x^2+y\right)\left(2-x\right)-3\left(2xy-5x\right)+7xy-64$