$\mathrm{factor}\left(6x^2\+18x-24\right)$

$6\left(x+4\right)\left(x-1\right)$

$\mathrm{expand}\left(\left(x\+1\right)\left(x\+2\right)\right)$

$x^2\+3x\+2$

$\mathrm{sort}\left(\left[2\,1\,3\right]\right)$

$\left[1\,2\,3\right]$

$\mathrm{sort}\left(\left[a\,\mathrm{ba}\,\mathrm{aaa}\,\mathrm{aa}\right]\,\mathrm{length}\right)$

$\left[a\,\mathrm{ba}\,\mathrm{aa}\,\mathrm{aaa}\right]$

$g:=x^2{\ⅇ}^x-2x{\ⅇ}^x\+2{\ⅇ}^x-\frac{x^2}{{\ⅇ}^x}-\frac{2x}{{\ⅇ}^x}-\frac{2}{{\ⅇ}^x}\:$

$\mathrm{collect}\left(g\,{\ⅇ}^x\right)$

$\left(x^2-2x\+2\right){\ⅇ}^x\+\frac{-x^2-2x-2}{{\ⅇ}^x}$

$g≔\frac{1\+x}{x^{\frac{1}{2}}y}\:$

$\mathrm{numer}\left(g\right)$

$x\+1$

$\mathrm{denom}\left(g\right)$

$\sqrt{x}y$

$\mathrm{series}\left(\sin \left(x\right)\,x\=4\,5\right)$

$\sin \left(4\right)\+\cos \left(4\right)\left(x-4\right)-\frac{1}{2}\sin \left(4\right){\left(x-4\right)}^2-\frac{1}{6}\cos \left(4\right){\left(x-4\right)}^3\+\frac{1}{24}\sin \left(4\right){\left(x-4\right)}^4\+\mathrm{O}\left({\left(x-4\right)}^5\right)$

$\mathrm{convert}\left(1\+2 I\,\mathrm{polar}\right)$

$\mathrm{polar}\left(\sqrt{5}\,\arctan \left(2\right)\right)$

$g:=\sinh \left(x\right)\+\sin \left(x\right)$

$g≔\sinh \left(x\right)\+\sin \left(x\right)$

$\mathrm{convert}\left(g\,\exp \right)$

$\frac{1}{2}{\ⅇ}^x-\frac{1}{2}{\ⅇ}^{-x}-\frac{1}{2}\mathrm{I}\left({\ⅇ}^{\mathrm{I}x}-{\ⅇ}^{-\mathrm{I}x}\right)$

$\mathrm{indets}\left(xy\+\frac{z}{x}\right)$

$\left\{x\,y\,z\right\}$

$\mathrm{indets}\left(\sin \left(x\right) \cdot y\right)$

$\left\{x\,y\,\sin \left(x\right)\right\}$

$\mathrm{indets}\left(\sin \left(x\right)\cdot y\,\mathrm{name}\right)$

$\left\{x\,y\right\}$

$\mathrm{seq}\left(i^2\,i\=1..10\right)$

$1\,4\,9\,16\,25\,36\,49\,64\,81\,100$

$\mathrm{seq}\left(i^3\, i \mathbf{in} \left\{2\,1\,3\,6\,7\,7\,4\,2\right\}\right)$

$1\,8\,27\,64\,216\,343$

$\mathrm{seq}\left(i\, i \mathbf{in} \left\{''black''\, ''red''\, ''purple''\,''mauve''\right\}\right)$

$''black''\,''mauve''\,''purple''\,''red''$

$\mathrm{eq}≔\left\{\frac{\ⅆ}{\ⅆt}y\left(t\right)\+{\sin }^2\left(t\right)\=0\,y\left(0\right)\=0\right\}\:$

$\mathrm{dsolve}\left(\mathrm{eq}\right)$

$y\left(t\right)\=\frac{1}{4}\sin \left(2t\right)-\frac{1}{2}t$

$\mathrm{subs}\left(a\=x\+1\,\mathrm{foo}\=\frac{a\+\sin \left(x\right)}{a^2}\right)$

$\mathrm{foo}\=\frac{x\+1\+\sin \left(x\right)}{{\left(x\+1\right)}^2}$

$\mathrm{diff}\left(x^2\,x\right)$

$2x$

$\mathrm{int}\left(2 x\,x\right)$

$x^2$

$\mathrm{gain}:=-\frac{A\left(\mathrm{C1}\mathrm{R2}s\+1\right)}{A\mathrm{C1}\mathrm{C2}\mathrm{R1}\mathrm{R2}{s}^2\+\mathrm{C1}\mathrm{C2}\mathrm{R1}\mathrm{R2}{s}^2\+A\mathrm{C1}\mathrm{R1}s\+A\mathrm{C2}\mathrm{R1}s\+\mathrm{C1}\mathrm{R1}s\+\mathrm{C1}\mathrm{R2}s\+\mathrm{C2}\mathrm{R1}s\+1}\:$

$\mathrm{limit}\left(\mathrm{gain}\,A\=\mathrm{infinity}\right)$

$-\frac{\mathrm{C1}\mathrm{R2}s\+1}{\mathrm{R1}s\left(\mathrm{C1}\mathrm{C2}\mathrm{R2}s\+\mathrm{C1}\+\mathrm{C2}\right)}$