Hard Arithmetic Puzzles

1474 puzzles total. Find the missing + − × ÷ operators to complete each equation.

#4053: 8 _ 8 _ 4 _ 1 = 15 hard #4054: 8 _ 8 _ 4 _ 3 = 19 hard #4055: 8 _ 8 _ 4 _ 4 = 20 hard #4062: 8 _ 8 _ 5 _ 4 = 18 hard #4065: 8 _ 8 _ 5 _ 3 = 16 hard #4066: 8 _ 8 _ 5 _ 2 = -9 hard #4067: 8 _ 8 _ 6 _ 4 = 20 hard #4069: 8 _ 8 _ 6 _ 9 = 20 hard #4073: 8 _ 8 _ 7 _ 2 = 15 hard #4075: 8 _ 8 _ 8 _ 2 = 17 hard #4076: 8 _ 8 _ 9 _ 6 = 20 hard #4078: 8 _ 8 _ 9 _ 2 = 19 hard #4079: 8 _ 9 _ 2 _ 3 = 14 hard #4082: 8 _ 9 _ 3 _ 2 = 14 hard #4085: 8 _ 9 _ 3 _ 5 = -7 hard #4086: 8 _ 9 _ 3 _ 6 = 18 hard #4088: 8 _ 9 _ 3 _ 7 = 17 hard #4089: 8 _ 9 _ 3 _ 8 = 16 hard #4090: 8 _ 9 _ 3 _ 9 = 15 hard #4091: 8 _ 9 _ 3 _ 6 = 16 hard #4092: 8 _ 9 _ 4 _ 3 = 20 hard #4093: 8 _ 9 _ 4 _ 6 = 14 hard #4096: 8 _ 9 _ 4 _ 1 = 19 hard #4097: 8 _ 9 _ 4 _ 1 = 17 hard #4098: 8 _ 9 _ 4 _ 2 = 20 hard #4099: 8 _ 9 _ 4 _ 2 = 16 hard #4100: 8 _ 9 _ 4 _ 3 = 15 hard #4101: 8 _ 9 _ 4 _ 4 = 14 hard #4102: 8 _ 9 _ 4 _ 5 = 13 hard #4103: 8 _ 9 _ 4 _ 6 = 12 hard #4105: 8 _ 9 _ 4 _ 7 = 11 hard #4108: 8 _ 9 _ 5 _ 3 = -7 hard #4109: 8 _ 9 _ 6 _ 4 = 14 hard #4112: 8 _ 9 _ 6 _ 1 = 13 hard #4117: 8 _ 9 _ 6 _ 4 = 16 hard #4120: 8 _ 9 _ 6 _ 5 = 17 hard #4124: 8 _ 9 _ 6 _ 7 = 19 hard #4128: 8 _ 9 _ 6 _ 3 = 16 hard #4129: 8 _ 9 _ 8 _ 6 = 20 hard #4131: 8 _ 9 _ 8 _ 2 = 18 hard #4133: 9 _ 1 _ 2 _ 8 = 13 hard #4136: 9 _ 1 _ 4 _ 8 = 11 hard #4139: 9 _ 2 _ 2 _ 2 = 19 hard #4140: 9 _ 2 _ 3 _ 6 = 13 hard #4142: 9 _ 2 _ 3 _ 3 = 19 hard #4146: 9 _ 2 _ 3 _ 5 = 11 hard #4148: 9 _ 2 _ 3 _ 6 = 12 hard #4150: 9 _ 2 _ 3 _ 7 = 13 hard