I started off by figuring how many ways to use nines:
30
3 nines, 27 total
2 nines, 18 total
1 nine, 9 total
0 nines, 0 total
I then figured how many ways to use sevens:
30
3 nines, 27 total
0 sevens, 27 total
2 nines, 18 total
1 seven, 25 total
0 sevens, 18 total
1 nine, 9 total
3 sevens, 30 total
2 sevens, 23 total
1 seven, 16 total
0 sevens, 9 total
0 nines, 0 total
4 sevens, 28 total
3 sevens, 21 total
2 sevens, 14 total
1 seven, 7 total
0 sevens, 0 total
I then figured how many ways to use fives, then threes, ending up with this:
30
3 nines, 27 total
0 sevens, 27 total
0 fives, 27 total
1 three, 30 total
0 threes, 27 total
2 nines, 18 total
1 seven, 25 total
1 five, 30 total
0 threes, 30 total
0 fives, 25 total
1 three, 28 total
0 threes, 25 total
0 sevens, 18 total
2 fives, 28 total
0 threes, 28 total
1 five, 23 total
2 threes, 29 total
1 three, 26 total
0 threes, 23 total
0 fives, 18 total
4 threes, 30 total
3 threes, 27 total
2 threes, 24 total
1 three, 21 total
0 three, 18 total
1 nine, 9 total
3 sevens, 30 total
0 fives, 30 total
0 threes, 30 total
2 sevens, 23 total
1 five, 28 total
0 threes, 28 total
0 fives, 23 total
2 threes, 29 total
1 three, 26 total
0 threes, 23 total
1 seven, 16 total
2 fives, 26 total
1 three, 29 total
0 threes, 26 total
1 five, 21 total
3 threes, 30 total
2 threes, 27 total
1 three, 24 total
0 threes, 21 total
0 fives, 16 total
4 threes, 28 total
3 threes, 25 total
2 threes, 22 total
1 three, 19 total
0 threes, 16 total
0 sevens, 9 total
4 fives, 29 total
0 threes, 29 total
3 fives, 24 total
2 threes, 30 total
1 three, 27 total
0 threes, 24 total
2 fives, 19 total
3 threes, 28 total
2 threes, 25 total
1 three, 22 total
0 threes, 19 total
1 five, 14 total
5 threes, 29 total
4 threes, 26 total
3 threes, 23 total
2 threes, 20 total
1 three, 17 total
0 threes, 14 total
0 fives, 9 total
7 threes, 30 total
6 threes, 27 total
5 threes, 24 total
4 threes, 21 total
3 threes, 18 total
2 threes, 15 total
1 three, 12 total
0 threes, 9 total
0 nines, 0 total
4 sevens, 28 total
0 fives, 28 total
0 threes, 28 total
3 sevens, 21 total
1 five, 26 total
1 three, 29 total
0 threes, 26 total
0 fives, 21 total
3 threes, 30 total
2 threes, 27 total
1 three, 24 total
0 threes, 21 total
2 sevens, 14 total
3 fives, 29 total
0 threes, 29 total
2 fives, 24 total
2 threes, 30 total
1 three, 27 total
0 threes, 24 total
1 five, 19 total
3 threes, 28 total
2 threes, 25 total
1 three, 22 total
0 threes, 19 total
0 fives, 14 total
5 threes, 29 total
4 threes, 26 total
3 threes, 23 total
2 threes, 20 total
1 three, 17 total
0 threes, 14 total
1 seven, 7 total
4 fives, 27 total
1 three, 30 total
0 threes, 27 total
3 fives, 22 total
2 threes, 28 total
1 three, 25 total
0 threes, 22 total
2 fives, 17 total
4 threes, 29 total
3 threes, 26 total
2 threes, 23 total
1 three, 20 total
0 threes, 17 total
1 five, 12 total
6 threes, 30 total
5 threes, 27 total
4 threes, 24 total
3 threes, 21 total
2 threes, 18 total
1 three, 15 total
0 threes, 12 total
0 fives, 7 total
7 threes, 28 total
6 threes, 25 total
5 threes, 22 total
4 threes, 19 total
3 threes, 16 total
2 threes, 13 total
1 three, 10 total
0 threes, 7 total
0 sevens, 0 total
6 fives, 30 total
0 threes, 30 total
5 fives, 25 total
1 three, 28 total
0 threes, 25 total
4 fives, 20 total
3 threes, 29 total
2 threes, 26 total
1 three, 23 total
0 threes, 20 total
3 fives, 15 total
5 threes, 30 total
4 threes, 27 total
3 threes, 24 total
2 threes, 21 total
1 three, 18 total
0 threes, 15 total
2 fives, 10 total
6 threes, 28 total
5 threes, 25 total
4 threes, 22 total
3 threes, 19 total
2 threes, 16 total
1 three, 13 total
0 threes, 10 total
1 five, 5 total
8 threes, 29 total
7 threes, 26 total
6 threes, 23 total
5 threes, 20 total
4 threes, 17 total
3 threes, 14 total
2 threes, 11 total
1 three, 8 total
0 threes, 5 total
0 fives, 0 total
10 threes, 30 total
9 threes, 27 total
8 threes, 24 total
7 threes, 21 total
6 threes, 18 total
5 threes, 15 total
4 threes, 12 total
3 threes, 9 total
2 threes, 6 total
1 three, 3 total
0 threes, 0 total
(more to follow)