halp

Let

$[S = \frac{1}{2^3} + \frac{1}{4^3} + \frac{1}{6^3} + \dotsb]$

and

$[T = \frac{1}{1^3} + \frac{1}{3^3} + \frac{1}{5^3} + \dotsb.]$

find $S/T$