Final answer:
The solutions to the integer problems 82 - (-14), -121 + (-34), and -18 - (-55) are 96, -155, and 37, respectively.
Step-by-step explanation:
The solutions to the problems: 82 - (-14), -121 + (-34), and -18 - (-55) can be found using the rules of addition and subtraction for integers.
For the first problem, 82 - (-14), we change the subtraction to addition and invert the sign of the second number. So it becomes:
82 + 14 = 96
For the second problem, -121 + (-34), since both numbers are negative, we add their absolute values and keep the negative sign:
-121 + -34 = -(121 + 34) = -155
For the third problem, -18 - (-55), similar to the first problem, we change the subtraction to addition and invert the sign of the second number:
-18 + 55 = 37