In [1]:

import sympy
sympy.init_printing()

In [2]:

x, y, z = sympy.symbols('x y z')

In [3]:

x**2 + y

Out[3]:

$\displaystyle x^{2} + y$

In [4]:

a = x * (x - 3) + 1
a

Out[4]:

$\displaystyle x \left(x - 3\right) + 1$

In [7]:

sympy.solve(a, x)

Out[7]:

$\displaystyle \left[ \frac{3}{2} - \frac{\sqrt{5}}{2}, \ \frac{\sqrt{5}}{2} + \frac{3}{2}\right]$

In [8]:

sympy.solve(x * (x - y) + z, x)

Out[8]:

$\displaystyle \left[ \frac{y}{2} - \frac{\sqrt{y^{2} - 4 z}}{2}, \ \frac{y}{2} + \frac{\sqrt{y^{2} - 4 z}}{2}\right]$

In [10]:

b = x * y + 1
b

Out[10]:

$\displaystyle x y + 1$

In [13]:

sympy.solve(b, x)

Out[13]:

$\displaystyle \left[ - \frac{1}{y}\right]$

$$\frac{1}{2}*y^2*x + \frac{3}{4} $$

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