39774

There are 2 possible solutions: 6,9,11,12,4,14,7 and 8,7,13,10,6,12,9.

For the first clue, the only possible answers are 14,1, 13,2 12,3 11,4 10,5 9,6 8,7 7,8 6,9 5,10 4,11 3,12 2,13 1,14. For the second clue, the possible answers are 6,14 7,13 8,12 9,11. For the third clue, the possible answers are 14,9 13,10 12,11 11,12 . For the fourth clue, the possible answers are 9,7 10,6 11,5 12,4. For the fifth clue, the possible answers are 7,11 6,12 5,13 4,14. For the last clue, the possible answers are 11,10 12,9 13,8 14,7. Combine the possible combinations and rule out the ones that repeat numbers and you should end up with 2 possible solutions.