Mixup cube

I really like this puzzle, although the one I bought didn't turn very well and eventually broke.

Step 1

Get it back into cube shape, but do it without disturbing the current parity of the middle slices. That is, a single 45-degree rotation of a middle slice is fine, but it must be undone. In other words, such rotations are fine as setup moves.

For example, do a single 45-degree rotation of a middle slice as a setup, then tri-cycle edge locations to get center and edge pieces in their proper locations, even if not in their proper orientations, then undo the setup.

To orient edges in edge locations when they're off by 90-degrees (as apposed to 180-degrees, which is only possible on a 3x3), I use (1/2)Zi,Xi,F,X,(1/2)Z.

Note that, collectively, there will be a proper orientation of the center pieces, but this won't be clear until the puzzle is nearly solved.

Step 2

Once back in cube shape, get the centers in proper position relative to one another, then try solving as a 3x3. If doing layer-solve, the last layer will tell you what kind of parity problem(s), if any, you have.

For example, if a single edge is flipped (which can't happen on a 3x3), then simply do a setup move that allows you to flip that edge with a center put in an edge location (since edges are flipped in pairs on a 3x3.)

If everything is solved, except two corners need to swap, then you need to do a 45-degree rotation of any middle slice, then begin again at step 1 above.