The first solution start with piece 1-2:
The columns sums are: 18, 8, 14, 7, 24, 5, 21, 29, 27, 2, 4, and 9.The rows sums are: 20, 17, 30, 13, 19, 12, 0, 10, 15, 25, 6 and 1.
The last solution start with piece 5-6:
The columns sums are: 6, 1, 9, 0, 11, 30, 12, 27, 19, 15, 24 and 14.
The rows sums are: 28, 18, 13, 29, 3, 34, 5, 7, 10 and 21.
You can downlown here the 155 solutions