>>> 24/60
2/5
>>> N(24/60)
0.4
>>> sin(30*degree)
1/2
>>> sin(pi/2)
1
>>> a+a+4*b^2+3*b^2
2*a+7*b^2
>>> solve({x^2-11==y, x+y==-9}, {x,y})
{{x->-2,y->-7},{x->1,y->-10}}
>>> dsolve({y'(x)==y(x)+2,y(0)==1},y(x), x)
{{y(x)->-2+3*E^x}}
>>> integrate(cos(x)^5, x)
-2/3*Sin(x)^3+Sin(x)^5/5+Sin(x)
>>> D(sin(x^3), x)
3*Cos(x)*Sin(x)^2
>>> factor(-1+x^16)
(-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8)
>>> factor(5+x^12, Modulus->7)
(2+x^3)*(4+x^6)*(5+x^3)
>>> expand((-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8))
-1+x^16
>>> det({{1,2},{3,4}})
-2
>>> inverse({{1,2},{3,4}})
{{-2,1},
 {3/2,-1/2}}
>>> factorinteger(2^15-5)
{{3,1},{67,1},{163,1}}
>>> refine(abs(n*abs(m)), n<0)
-n*Abs(m)