there are three odd integers. The sum of the integer is - 57. What is the smallest of the three integers

It is - 21.

If x is an odd integer, then the next odd integer would be x + 2. (an example: 5 is an odd integer. The next odd integer is 5+2, or 7).

Based on this, we can make this equation and solve for x to find the answer:

x + (x + 2) + (x + 4) = - 57

x is the smallest integer, x+2 is the next odd integer, and x+4 is the third odd integer.

Now we can solve

Combining like terms

3x + 6 = - 57

3x = - 63

x = - 21