
Found these on CBS's Numb3rs site.
A. Arrange the numbers 1-8 on the corners so that the 6 faces have magic sum 18.
B. Arrange the numbers 0-7 on the corners so that the connecting edge always has a prime sum.
C. Arrange the numbers 1-12 on the edges so that faces and parallel edges have magic sum 26.
D. Arrange the numbers 1-12 on the edges and (0,1,2,3,4,7,9,12) on the corners so that each edge gives the difference between the corners it connects.
I have solved all of them.
At time of posting I have solved A, B, and C.
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