$2x^2+2x=-6$

$ay^{2}+7y^{2}-5y^{3}+9x^{2}-8y^{3}$

$7sin^2+8cos^2\left(x\right)$

$\lim_{x\to\infty}\left(x\cdot tan\left(\frac{14}{x}\right)\right)$

$f\left(x\right)=\sqrt{\frac{3x+2}{5-4x}}$

$\frac{dy}{dx}\left(x^3+y^3=2xy\right)$

$\frac{x+1}{x+5}+\frac{8x}{x^2-25}$