  We discuss a form of a well-known problem of Kakeya for complex polynomials.
Let p(z) be a complex polynomial. This problem requires to find disc that
contains n zeros of some derivative of p(z), provided that location of several
zeros of p(z) is known. We find a disc that contains a zero of (k-1)-th
derivative, if we know disc that contains k zeros of p(z). This result can be
regarded as an extension of the Grace-Heawood theorem where k=2.
