• expand((x+y)^2)

• factor(x^12-1)

• diff(x^2, x)

• int(cos(x), x)

• limit(sin(3*x)/(2*x), x = 0)

• solve(x^2+3*x-5, x)

• solve(x^3-4*x+1, x,MaxDegree=3)

{
{                  4                               1/2    1/2       1/3
{ ---------------------------------- + (1/108 I 108    229    - 1/2)   ,
{               1/2    1/2       1/3
{ 3 (1/108 I 108    229    - 1/2)

            1/2 /                  4
   - 1/2 I 3    | ---------------------------------- -
                |               1/2    1/2       1/3
                \ 3 (1/108 I 108    229    - 1/2)

               1/2    1/2       1/3 \                    2
   (1/108 I 108    229    - 1/2)    | - ---------------------------------- -
                                    |                 1/2    1/2       1/3
                                    /   3 (1/108 I 108    229    - 1/2)

               1/2    1/2       1/3
   (1/108 I 108    229    - 1/2)            1/2
   --------------------------------, 1/2 I 3
                   2

   /                  4                               1/2    1/2       1/3 \
   | ---------------------------------- - (1/108 I 108    229    - 1/2)    | -
   |               1/2    1/2       1/3                                    |
   \ 3 (1/108 I 108    229    - 1/2)                                       /

                                                    1/2    1/2       1/3 }
                    2                   (1/108 I 108    229    - 1/2)    }
   ---------------------------------- - -------------------------------- }
                 1/2    1/2       1/3                   2                }
   3 (1/108 I 108    229    - 1/2)                                       }

• solve({2*x+3*y=1,3*x-7*y=5}, {x,y})

• float(int(cos(x^2),x=0..1))

• matrix([[a,3], [b,5]])^2