SymPy - Arbitrary number of Symbols

numbered_symbols("t") will return a generator that generates t0, t1, t2, etc. You can use the start parameter to choose a different starting value. And if you want to use dummy variables, use numbered_symbols("t", cls=Dummy).

The symbols function can be used to easily generate lists of symbols

In [1]: symbols('a0:3')
Out[1]: (a₀, a₁, a₂)

In [2]: numEquations = 15

In [3]: symbols('a0:%d'%numEquations)
Out[3]: (a₀, a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈, a₉, a₁₀, a₁₁, a₁₂, a₁₃, a₁₄)