Well, isn't that a fun little puzzle! Let's see here... I think we can solve this by breaking down the numbers. If we have two numbers that add up to -60 but multiply to 100, those numbers are -10 and -50. Isn't that just a happy little solution?
-12 and +5
60 AND 15
8 and -60
4 and 25
-27
120
129
110
105
107
-16
24 and 5