Here is a playthrough of the second world. It is unedited, but to save you some time (unless you want the entertainment), use the time links in the description of the video and feel free to mute the video.
If you get stuck on the randomly generated puzzles or the puzzle race at the end, my only advice is to keep at it! They sometimes are the reason my videos are split because I had to take a break. They can take awhile. If you are on the first puzzle, feel free to restart if you aren't comfortable with the level.
Finally, level 2-30 is a puzzle race using the modifier.