Crazy Cubes...and Fractions

Algebra Level 4

Find mm if 13+33+53+...+(2m1)323+43+63+...+(2m)3=721800\frac{1^3+3^3+5^3+...+(2m-1)^3}{2^3+4^3+6^3+...+(2m)^3}=\frac{721}{800}.

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