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>>> from sympy import *

>>> x = Symbol('x')
>>> y = Symbol('y')

Then You may then manipulate them as you want:

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Some regular constants are already included in SymPy as symbols, like e, pi and infinite (oo). evalf() evaluates the symbols as floation-point numbers.

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>>> integrate(exp(-x), (x, 0, oo))
1

>>> integrate(log(x), (x, 0, 1))
-1

Algebraic equations

SymPy is able to solve algebraic equations with one or several variables. solve(equation, variable) takes as first argument an equation that is supposed to be equaled to 0, and as second argument the unknown variable. In case of multiple equations and variables, solve returns a dictonary containing the results.

>>> from sympy import *
>>> solve(x**2 - 1, x)
[-1, 1]


>>> solve([x + 5*y - 2, -3*x + 6*y - 15], [x, y])
{x: -3, y: 1}


>>> solve(Eq(x**4, 1), x)
[-1, 1, -I, I]