Presumably the sum is -222, as defined by the question!
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There is no set of three consecutive integers whose sum is 71.
The sum of three consecutive integers is -72
The three integers are 187, 188 and 189.
The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.
Divide the sum of the three consecutive odd integers by 3: -273 /3 = -91. The smallest of these integers will be two less than -91 and the largest will be two more than -91, so the three consecutive odd integers will be -89, -91, and -93.