According to Vitalik Buterin, there is a slightly easier method to solve the cube root problem. By using the derivative of x^3, which is 3x^2, one can simplify the calculation for cbrt(1728+ε). The derivative of the cube at this point is 432, leading to the solution 12 + ε / 432. Since 432 is approximately 15% below 500, this can be rewritten as 12 + ε * 0.002 * 1.15, or approximately 12 + ε * 0.0023.