Let's break it down step by step:
1. Start with the expression inside the innermost brackets: (-1)² = 1 and (-1+(-1)³) = -2. So, the expression inside the brackets becomes [-(-1)²-(-1+(-1)³]-1 = [-1-(-2)]-1 = [-1+2]-1 = 1-1 = 0.
2. Now, we substitute this result into the expression: 1+{-1+1:0-1}.
3. Inside the curly braces, we have a division operation: 1 divided by 0-1. Division by zero is undefined, so the result is undefined.
So, the final expression 1+{-1+1:0-1} is undefined.
