Last Two Scrambled Puzzles

The one on the right is another Pentahedron. Uranus, to be exact. I followed the instructions in my Solution Guides Pre Fall 2013 and it was super easy. Here they are:
Anti-clockwise Algorithm
RU'RU L RDRD' L cycles the bottom corners anti-clockwise.

Explanation of Algorithm
RU'RU is an EPS from DR to UR to UL. It also cycles 5 corners.
RDRD' is an EPS from UR to UD to DL. It also cycles 5 corners.
In other words the second EPS puts the edges back.
It also puts some of the corners back, resulting in a corner 3-cycle.

Clockwise Algorithm
LULU' R LD'LD R to cycle corners clockwise around the bottom.

Solution Strategy

1. Yellow and Purple Circle Edges. At most 3 twists.
2. Blue, White, Orange Circle Edges. At most 2 twists.
3. Yellow and Purple Outer Edges. Use The Move.
4. Middle Layer Outer Edges. Use The Move.
5. Corners. Use the 10-move 3-cycles built from The Move. (The algorithms above)

The puzzle on the left above is called Rubik's Rings. I remember that I mastered it a couple summers ago when we were in Czechia. But now? I'm still trying to figure it out. When I Google Rubik's Rings I do not get this puzzle. Instead Rubik's Magic comes up. Dumb.

I finally solved it. But have I mastered it again? Far from it! I just fiddled and fiddled. Tried this and that. Finally I tried moving a ball to the other end. It messed up something else. I fixed the top and bam! It fixed the bottom as well.