4025.sagews

solve(x^2 + 3*x + 2, x)

[x == -2, x == -1]

var('P v t') 
solve([P==v*t],t)

[t == P/v]

def f(x):
   return x^4+2*x^3-7*x+13
f(-1)

19

diff(sin(x),x)

cos(x)

integral(cos(x),x)

sin(x)

solve(6-2 *(x-3)==3+x, x)

[x == 3]

diff(x*csc(x^2), x)

-2*x^2*csc(x^2)*cot(x^2) + csc(x^2)

integral(cos(2*x), x)

1/2*sin(2*x)

diff(1/2*sin(2*x), x)

cos(2*x)

def f(x):
   return (3- 2*x^2)/(5*x^2 + 100*x)
f(1000000)

-1999999999997/5000100000000