Here is the Walkthrough & Solutions with tips and tricks on how to solve The Curse puzzles 81, 82, 83, and also 84.
The Curse Puzzle 81 - Burn The Rope #6 - Hard
Once you find the right starting point, this puzzle becomes very easy. I tried to "think" this one out and got it right, without using "brute force" trial and error. There might be more than one solution, but this one will work:
The Curse Puzzle 82 - Lights Out #5 - Hard
These turn off the lights puzzles are getting very hard. With a fixed number of turns available, it makes it extra difficult. Here is the sequence to solve this one:
The Curse Puzzle 83 - Tangram #9 - Hard
This puzzle took my a while to solve, but one again, after I found a good place for the twin big blue triangles, the rest was rather easy to complete.
The Curse Puzzle 84 - Hamiltonian #5 - Hard
Not sure why this puzzle is called Hard! Took my only a few seconds to resolve. Here is one possible solution, not that you will need it!