Two nights ago I actually completed both the tasks.

The egg one I tried first. I searched around for a mirror so I could see what was going on while I did it. Was pretty simple really. At first I couldn't get anything to come out, but then thought more and more about needing to lay an egg and finally laid a nice pink egg while watching in the mirror. I then tried to lay a few more of different colors and it worked. The last one was funny, I laid it, then immediately hatched from it a clone of myself.

The advanced task pissed me off. I usually have trouble flying into space, so that was difficult at first, but after a few attempts, I was able to get up there, and I mean WAY up there. At one point I was going so fast I could see the whole solar system from outside pluto's orbit. In any case, I had to get a piece of the sun, so I traveled towards the sun. When I started getting closer, I feared burning myself or becoming uncomfortable enough to break me out of lucidity so I solidified the sun. This not only cooled it off, but allowed me to break off a piece of it in rock form to take back to earth. Once I got the piece broken off I tried to travel back to earth but was chased by some spaceship. No matter how fast I flew they were slightly faster than me. Eventually they caught me and kept me captive in this room not allowing me back to earth. Which really pissed me off because I wanted to complete the task and they were keeping me from doing that. Eventually I broke my way out of the ship, and got back to earth, but they had stolen the piece of the sun I took. Once I was back to earth, I had to teleport the piece from the ship back to earth to get ahold of it. I ended up only getting a small portion of the bigger chunk I broke off, but at least I ended up with something.