$-8a^2b\cdot3ab$

$\left(2x^{3}-5x^{2}-6x+15\right)^{1}\times3-2x+41$

$4t\frac{dy}{dt}+y=t^6$

$\frac{1}{\sin\left(x\right)}\left(\frac{1}{\cot\:\left(x\right)}+\frac{1}{\sec\left(x\right)}\right)=sec\left(x\right)+cot\left(x\right)$

$\frac{\sqrt[3]{3x}.\sqrt[3]{9x^2}}{x^3}$

$3^3\cdot3^{-5}$

$2\log\left(x\right)\cdot\log\left(x\right)$