$\:f\left(x\right)=\:\left(1+\frac{1}{x}\right)^{\left(8+1\right)\cdot\:\:x}\left(cosh\left(7x\right)\right)$

$x^{\left(4\right)}-2^{\left(3\right)}-2x^{\left(3\right)}+5-2x$

$10c^2+\:35cd-25d^2$

$\int29\sin\left(3x\right)\cdot\cos\left(2x\right)dx$

$\left(x^3+2-3x\right)\left(x-3\right)$

$\frac{dy}{dx}=ln\left(144sin^{\left(2\right)}\left(x\right)\right)$

$\left(x^2-2x+1\right)-\left(x-1\right)$