I count 15 valid solutions. I will post two of them:
Spoiler:
You have three 6sided dice.
If you roll the 3 of them, all possible
combos from 1 to 216 are possible.
Of course, the faces are not numbered 1 to 6,
plus some faces will have negative values;
like combo=10 could be 20,30,-40.
Highest face number is 74.
What are the numbers on each dice?
YES...I have the solution!!