  We solve a motivic version of the Adams conjecture with the exponential
characteristic of the base field inverted. In the way of the proof we show that
the higher motivic stable stems are of bounded torsion and obtain a motivic
version of mod k Dold theorem. We also give a motivic version of Brown's trick
studying the homogeneous variety of maximal tori in a general linear group,
which turns out to be not stably A1-connected.
