Let x be the first odd integer.
Then x+2 is the next odd integer
And x+4 is the next odd integer after that.
The sum of these 3 consecutive odd integers is -57
So x + x+2 + x+4 = -57
3x + 6 = -57
3x = -63
x = -21
so next integers are x+2 = -19 and x+4 = -17, the largest being -17.