Mitchell wants to beat the record for the most points scored in a season. this season, he has scored 51 points. if he scores 27 points at each of the next 7 games, he will break the record by 1 point. how many total points will break the record by 1 point?

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631.