$-tan\:\left(t\right)-\frac{cos\:\left(t\right)}{sin\:\left(t\right)-1}=sec\:\left(t\right)$

$-\frac{\sqrt{2}}{7}m^{\frac{2x}{3}-5}n^{7}$

$4\sin^2x-4\sin x=3$

$\lim_{x\to\infty}\left(1+\frac{1}{4x}\right)^{7x}$

$y=x^5+2x^{-3}\:$

$\frac{7x^2-3x^4+1}{x-1}$

$\int\frac{\left(7x+3\right)}{\left(x+1\right)^2}dx$