$\int2^{3x^2}xdx$

$\frac{7}{7^{-3}}$

$\frac{dp}{dt}=\frac{1+3t^2}{3p\left(p-2\right)}$

$\left(x^6+x^3+1\right)\left(x^3-1\right)$

$\lim_{x\to\:0}\left(\frac{x^3+2x}{1-\:e^{2x}}\right)$

$\log\left(16x+2\right)-\log\left(4x+2\right)=\log\left(2x+4\right)$

$-15.\:8\:-\:\left(\:-128+256\right):\:\left(\:-7+3\right)\:$