- 2 + {-1 + [5-3 * (10+1)/3]-5*7}

First, calculate the expression inside the innermost parentheses:

10 + 1 = 11

Next, divide by 3:

\frac{11}{3} = \frac{11}{3}

Now multiply by 3:

3 \times \frac{11}{3} = 11

This simplifies our main expression to:

-2 + \{-1 + [5 - 11] - 5 \times 7\}

Simplify within the brackets:

5 - 11 = -6

Now the expression is:

-2 + \{-1 - 6 - 35\}

Combine the terms inside the braces:

-1 - 6 - 35 = -42

Finally, combine the remaining terms:

-2 - 42 = -44

So, the final answer is:

-44