A riddle for 2015
Solution 1:
One technique is to use a product of numbers to get close to the solution and then use the remaining numbers to correct: For example $7\times8\times9=504=\frac{1}{4}\times2016$. Hence we need to generate a factor of $-1$ to add, and a factor of $4$ to multiply. One solution using this idea is
$$-1+(2-3+4-5+6)\times7\times8\times9$$
Another technique is to attempt to use a factorization: $2015=31\times65$ for example. Noting that $-7+8\times9=65$, all we have left to do is generate a factor of $31$. A solution using this idea is $$((1-2)\times(3-4)+5\times6)\times(-7+8\times9)$$
Solution 2:
Peter Woolfitt's answer gives two good approaches to solving this type of problem, but his methods are far from the full story. Using Mathematica, I ran an exhaustive search over all possible parenthesizations of all possible arrangements of $+, -, \times, \div$ among the digits 1 through 9, and came up with 536 distinct* solutions, listed below. There are simply so many ways to combine 9 numbers with 4 operations that no single high-level method can discover them all.
Note that my program distinguishes between different parenthesizations of commutative operations, e.g. ((1 + 2) + 3)
and (1 + (2 + 3))
would be considered two distinct solutions. Also, I have only searched for solutions using $-$ as an infix (subtraction) operator, not a unary (negation) operator.
(1 - 2) + ((((3 * (4 + 5)) - 6) + 7) * (8 * 9))
(1 - 2) + ((3 + 4) * ((5 + (6 - 7)) * (8 * 9)))
(1 - 2) + ((3 + 4) * (((5 + 6) - 7) * (8 * 9)))
(1 - 2) + ((((3 * 4) * ((5 + 6) + 7)) + 8) * 9)
(1 - 2) + ((((3 * 4) * (5 + (6 + 7))) + 8) * 9)
(1 - 2) + (((3 * (4 * ((5 + 6) + 7))) + 8) * 9)
(1 - 2) + (((3 * (4 * (5 + (6 + 7)))) + 8) * 9)
(1 - 2) + ((3 + 4) * (((5 + (6 - 7)) * 8) * 9))
(1 - 2) + ((3 + 4) * ((((5 + 6) - 7) * 8) * 9))
(1 - 2) + (((3 * (4 + 5)) - (6 - 7)) * (8 * 9))
(1 - 2) + (((3 + 4) * (5 + (6 - 7))) * (8 * 9))
(1 - 2) + (((3 + 4) * ((5 + 6) - 7)) * (8 * 9))
(1 - 2) + (((((3 * (4 + 5)) - 6) + 7) * 8) * 9)
(1 - 2) + (((3 + 4) * ((5 + (6 - 7)) * 8)) * 9)
(1 - 2) + (((3 + 4) * (((5 + 6) - 7) * 8)) * 9)
(1 - 2) + ((((3 * (4 + 5)) - (6 - 7)) * 8) * 9)
(1 - 2) + ((((3 + 4) * (5 + (6 - 7))) * 8) * 9)
(1 - 2) + ((((3 + 4) * ((5 + 6) - 7)) * 8) * 9)
(((1 - 2) + ((3 * 4) * 5)) * ((6 * 7) - 8)) + 9
(((1 - 2) + (3 * (4 * 5))) * ((6 * 7) - 8)) + 9
((1 - (2 - ((3 * 4) * 5))) * ((6 * 7) - 8)) + 9
((1 - (2 - (3 * (4 * 5)))) * ((6 * 7) - 8)) + 9
((1 * 2) * (3 + ((4 * 5) * ((6 * 7) + 8)))) + 9
((1 * 2) * (3 + (4 * (5 * ((6 * 7) + 8))))) + 9
(1 * (2 * (3 + ((4 * 5) * ((6 * 7) + 8))))) + 9
(1 * (2 * (3 + (4 * (5 * ((6 * 7) + 8)))))) + 9
(1 * 2) + ((3 - (4 * ((5 / 6) - (7 * 8)))) * 9)
((1 * 2) * (3 - ((4 * 5) * (6 - (7 * 8))))) + 9
((1 * 2) * (3 - (4 * (5 * (6 - (7 * 8)))))) + 9
(1 * (2 * (3 - ((4 * 5) * (6 - (7 * 8)))))) + 9
(1 * (2 * (3 - (4 * (5 * (6 - (7 * 8))))))) + 9
(1 * 2) + (3 * (((4 * 5) * ((6 * 7) - 8)) - 9))
(1 * 2) + (3 * ((4 * (5 * ((6 * 7) - 8))) - 9))
1 - (2 + ((3 + (4 - (5 + 6))) * ((7 * 8) * 9)))
1 - (2 + ((3 + (4 - (5 + 6))) * (7 * (8 * 9))))
1 - (2 + ((3 + ((4 - 5) - 6)) * ((7 * 8) * 9)))
1 - (2 + ((3 + ((4 - 5) - 6)) * (7 * (8 * 9))))
1 - (2 + (((3 + 4) - (5 + 6)) * ((7 * 8) * 9)))
1 - (2 + (((3 + 4) - (5 + 6)) * (7 * (8 * 9))))
1 - (2 + (((3 + (4 - 5)) - 6) * ((7 * 8) * 9)))
1 - (2 + (((3 + (4 - 5)) - 6) * (7 * (8 * 9))))
1 - (2 + ((((3 + 4) - 5) - 6) * ((7 * 8) * 9)))
1 - (2 + ((((3 + 4) - 5) - 6) * (7 * (8 * 9))))
1 - (2 + (((3 * (4 - (5 + 6))) - 7) * (8 * 9)))
1 - (2 + (((3 * ((4 - 5) - 6)) - 7) * (8 * 9)))
1 - (2 + (((3 + (4 - (5 + 6))) * (7 * 8)) * 9))
1 - (2 + (((3 + (4 - (5 + 6))) * 7) * (8 * 9)))
1 - (2 + (((3 + ((4 - 5) - 6)) * (7 * 8)) * 9))
1 - (2 + (((3 + ((4 - 5) - 6)) * 7) * (8 * 9)))
1 - (2 + ((((3 + 4) - (5 + 6)) * (7 * 8)) * 9))
1 - (2 + ((((3 + 4) - (5 + 6)) * 7) * (8 * 9)))
1 - (2 + ((((3 + (4 - 5)) - 6) * (7 * 8)) * 9))
1 - (2 + ((((3 + (4 - 5)) - 6) * 7) * (8 * 9)))
1 - ((2 * 3) + (4 * (5 - (6 + ((7 * 8) * 9)))))
1 - ((2 * 3) + (4 * (5 - (6 + (7 * (8 * 9))))))
1 - (2 + (((((3 + 4) - 5) - 6) * (7 * 8)) * 9))
1 - (2 + (((((3 + 4) - 5) - 6) * 7) * (8 * 9)))
1 - ((2 * 3) + (4 * ((5 - 6) - ((7 * 8) * 9))))
1 - ((2 * 3) + (4 * ((5 - 6) - (7 * (8 * 9)))))
1 - (2 + ((((3 * (4 - (5 + 6))) - 7) * 8) * 9))
1 - (2 + ((((3 * ((4 - 5) - 6)) - 7) * 8) * 9))
1 - (2 + ((((3 + (4 - (5 + 6))) * 7) * 8) * 9))
1 - (2 + ((((3 + ((4 - 5) - 6)) * 7) * 8) * 9))
1 - (2 + (((((3 + 4) - (5 + 6)) * 7) * 8) * 9))
1 - (2 + (((((3 + (4 - 5)) - 6) * 7) * 8) * 9))
1 - (2 + ((((((3 + 4) - 5) - 6) * 7) * 8) * 9))
(1 - 2) - ((3 + (4 - (5 + 6))) * ((7 * 8) * 9))
(1 - 2) - ((3 + (4 - (5 + 6))) * (7 * (8 * 9)))
(1 - 2) - ((3 + ((4 - 5) - 6)) * ((7 * 8) * 9))
(1 - 2) - ((3 + ((4 - 5) - 6)) * (7 * (8 * 9)))
1 - (2 - ((((3 * (4 + 5)) - 6) + 7) * (8 * 9)))
1 - (2 - ((3 + 4) * ((5 + (6 - 7)) * (8 * 9))))
1 - (2 - ((3 + 4) * (((5 + 6) - 7) * (8 * 9))))
1 - (2 - ((((3 * 4) * ((5 + 6) + 7)) + 8) * 9))
1 - (2 - ((((3 * 4) * (5 + (6 + 7))) + 8) * 9))
1 - (2 - (((3 * (4 * ((5 + 6) + 7))) + 8) * 9))
1 - (2 - (((3 * (4 * (5 + (6 + 7)))) + 8) * 9))
1 - (2 - ((3 + 4) * (((5 + (6 - 7)) * 8) * 9)))
1 - (2 - ((3 + 4) * ((((5 + 6) - 7) * 8) * 9)))
(1 - 2) - (((3 + 4) - (5 + 6)) * ((7 * 8) * 9))
(1 - 2) - (((3 + 4) - (5 + 6)) * (7 * (8 * 9)))
(1 - 2) - (((3 + (4 - 5)) - 6) * ((7 * 8) * 9))
(1 - 2) - (((3 + (4 - 5)) - 6) * (7 * (8 * 9)))
(1 - 2) - ((((3 + 4) - 5) - 6) * ((7 * 8) * 9))
(1 - 2) - ((((3 + 4) - 5) - 6) * (7 * (8 * 9)))
1 - (2 - (((3 * (4 + 5)) - (6 - 7)) * (8 * 9)))
(1 - 2) - (((3 * (4 - (5 + 6))) - 7) * (8 * 9))
(1 - 2) - (((3 * ((4 - 5) - 6)) - 7) * (8 * 9))
1 - (2 - (((3 + 4) * (5 + (6 - 7))) * (8 * 9)))
(1 - 2) - (((3 + (4 - (5 + 6))) * (7 * 8)) * 9)
(1 - 2) - (((3 + (4 - (5 + 6))) * 7) * (8 * 9))
1 - (2 - (((3 + 4) * ((5 + 6) - 7)) * (8 * 9)))
(1 - 2) - (((3 + ((4 - 5) - 6)) * (7 * 8)) * 9)
(1 - 2) - (((3 + ((4 - 5) - 6)) * 7) * (8 * 9))
1 - (2 - (((((3 * (4 + 5)) - 6) + 7) * 8) * 9))
1 - (2 - (((3 + 4) * ((5 + (6 - 7)) * 8)) * 9))
1 - (2 - (((3 + 4) * (((5 + 6) - 7) * 8)) * 9))
(1 - 2) - ((((3 + 4) - (5 + 6)) * (7 * 8)) * 9)
(1 - 2) - ((((3 + 4) - (5 + 6)) * 7) * (8 * 9))
(1 - 2) - ((((3 + (4 - 5)) - 6) * (7 * 8)) * 9)
(1 - 2) - ((((3 + (4 - 5)) - 6) * 7) * (8 * 9))
(1 - (2 * 3)) - (4 * (5 - (6 + ((7 * 8) * 9))))
(1 - (2 * 3)) - (4 * (5 - (6 + (7 * (8 * 9)))))
(1 - 2) - (((((3 + 4) - 5) - 6) * (7 * 8)) * 9)
(1 - 2) - (((((3 + 4) - 5) - 6) * 7) * (8 * 9))
(1 - (2 * 3)) - (4 * ((5 - 6) - ((7 * 8) * 9)))
(1 - (2 * 3)) - (4 * ((5 - 6) - (7 * (8 * 9))))
1 - (2 - ((((3 * (4 + 5)) - (6 - 7)) * 8) * 9))
(1 - 2) - ((((3 * (4 - (5 + 6))) - 7) * 8) * 9)
(1 - 2) - ((((3 * ((4 - 5) - 6)) - 7) * 8) * 9)
1 - (2 - ((((3 + 4) * (5 + (6 - 7))) * 8) * 9))
(1 - 2) - ((((3 + (4 - (5 + 6))) * 7) * 8) * 9)
1 - (2 - ((((3 + 4) * ((5 + 6) - 7)) * 8) * 9))
(1 - 2) - ((((3 + ((4 - 5) - 6)) * 7) * 8) * 9)
(1 - 2) - (((((3 + 4) - (5 + 6)) * 7) * 8) * 9)
(1 - 2) - (((((3 + (4 - 5)) - 6) * 7) * 8) * 9)
(1 - 2) - ((((((3 + 4) - 5) - 6) * 7) * 8) * 9)
((1 * 2) - 3) - ((4 * (5 - 6)) * ((7 * 8) * 9))
((1 * 2) - 3) - ((4 * (5 - 6)) * (7 * (8 * 9)))
((1 * 2) - 3) - (4 * ((5 - 6) * ((7 * 8) * 9)))
((1 * 2) - 3) - (4 * ((5 - 6) * (7 * (8 * 9))))
((1 * 2) - 3) - (((4 * (5 - 6)) * (7 * 8)) * 9)
((1 * 2) - 3) - ((4 * ((5 - 6) * (7 * 8))) * 9)
((1 * 2) - 3) - (((4 * (5 - 6)) * 7) * (8 * 9))
((1 * 2) - 3) - ((4 * ((5 - 6) * 7)) * (8 * 9))
((1 * 2) - 3) - (4 * (((5 - 6) * (7 * 8)) * 9))
((1 * 2) - 3) - (4 * (((5 - 6) * 7) * (8 * 9)))
((1 * 2) - 3) - ((((4 * (5 - 6)) * 7) * 8) * 9)
((1 * 2) - 3) - (((4 * ((5 - 6) * 7)) * 8) * 9)
((1 * 2) - 3) - ((4 * (((5 - 6) * 7) * 8)) * 9)
((1 * 2) - 3) - (4 * ((((5 - 6) * 7) * 8) * 9))
((1 * 2) - 3) - ((((4 / (5 - 6)) * 7) * 8) * 9)
((1 * 2) - 3) - (((4 / (5 - 6)) * (7 * 8)) * 9)
((1 * 2) - 3) - (((4 / (5 - 6)) * 7) * (8 * 9))
((1 * 2) - 3) - (((4 / ((5 - 6) / 7)) * 8) * 9)
((1 * 2) - 3) - ((4 / (5 - 6)) * ((7 * 8) * 9))
((1 * 2) - 3) - ((4 / (5 - 6)) * (7 * (8 * 9)))
((1 * 2) - 3) - ((4 / ((5 - 6) / (7 * 8))) * 9)
((1 * 2) - 3) - ((4 / ((5 - 6) / 7)) * (8 * 9))
((1 * 2) - 3) - ((4 / (((5 - 6) / 7) / 8)) * 9)
((1 * 2) - 3) - (4 / ((5 - 6) / ((7 * 8) * 9)))
((1 * 2) - 3) - (4 / ((5 - 6) / (7 * (8 * 9))))
((1 * 2) - 3) - (4 / (((5 - 6) / (7 * 8)) / 9))
((1 * 2) - 3) - (4 / (((5 - 6) / 7) / (8 * 9)))
((1 * 2) - 3) - (4 / ((((5 - 6) / 7) / 8) / 9))
(((1 + (2 * 3)) + 4) * (((5 * 6) - 7) * 8)) - 9
((1 + ((2 * 3) + 4)) * (((5 * 6) - 7) * 8)) - 9
(((1 - 2) + (3 * 4)) * (((5 * 6) - 7) * 8)) - 9
((1 + (((2 + (3 - 4)) + 5) * (6 * 7))) * 8) - 9
((1 + ((2 + ((3 - 4) + 5)) * (6 * 7))) * 8) - 9
((1 + ((((2 + 3) - 4) + 5) * (6 * 7))) * 8) - 9
((1 + ((2 + (3 - (4 - 5))) * (6 * 7))) * 8) - 9
((1 + ((2 + (3 * 4)) * ((5 + 6) + 7))) * 8) - 9
((1 + ((2 + (3 * 4)) * (5 + (6 + 7)))) * 8) - 9
((((((1 + 2) * (3 * 4)) + 5) * 6) + 7) * 8) - 9
(((((((1 + 2) * 3) * 4) + 5) * 6) + 7) * 8) - 9
((1 + (((2 + 3) - (4 - 5)) * (6 * 7))) * 8) - 9
((1 + ((2 * (((3 + 4) + 5) + 6)) * 7)) * 8) - 9
((1 + ((2 * ((3 + (4 + 5)) + 6)) * 7)) * 8) - 9
((1 + ((2 * ((3 + 4) + (5 + 6))) * 7)) * 8) - 9
((1 + ((2 * (3 + ((4 + 5) + 6))) * 7)) * 8) - 9
((1 + ((2 * (3 + (4 + (5 + 6)))) * 7)) * 8) - 9
((1 + ((2 * (3 + 4)) * ((5 + 6) + 7))) * 8) - 9
((1 + ((2 * (3 + 4)) * (5 + (6 + 7)))) * 8) - 9
((1 + (2 * ((((3 + 4) + 5) + 6) * 7))) * 8) - 9
((1 + (2 * (((3 + (4 + 5)) + 6) * 7))) * 8) - 9
((1 + (2 * (((3 + 4) + (5 + 6)) * 7))) * 8) - 9
((1 + (2 * ((3 + ((4 + 5) + 6)) * 7))) * 8) - 9
((1 + (2 * ((3 + (4 + (5 + 6))) * 7))) * 8) - 9
((1 + (2 * ((3 + 4) * ((5 + 6) + 7)))) * 8) - 9
((1 + (2 * ((3 + 4) * (5 + (6 + 7))))) * 8) - 9
((1 + ((((2 + (3 - 4)) + 5) * 6) * 7)) * 8) - 9
((1 + (((2 + ((3 - 4) + 5)) * 6) * 7)) * 8) - 9
((1 + (((((2 + 3) - 4) + 5) * 6) * 7)) * 8) - 9
((1 + (((2 + (3 - (4 - 5))) * 6) * 7)) * 8) - 9
((((1 * 2) * (3 + ((4 * 5) * 6))) + 7) * 8) - 9
((((1 * 2) * (3 + (4 * (5 * 6)))) + 7) * 8) - 9
(((1 * (2 * (3 + ((4 * 5) * 6)))) + 7) * 8) - 9
(((1 * (2 * (3 + (4 * (5 * 6))))) + 7) * 8) - 9
((1 + ((((2 + 3) - (4 - 5)) * 6) * 7)) * 8) - 9
(1 * 2) - (3 + ((4 * (5 - 6)) * ((7 * 8) * 9)))
(1 * 2) - (3 + ((4 * (5 - 6)) * (7 * (8 * 9))))
(1 * 2) - (3 + (4 * ((5 - 6) * ((7 * 8) * 9))))
(1 * 2) - (3 + (4 * ((5 - 6) * (7 * (8 * 9)))))
(1 * 2) - (3 + (((4 * (5 - 6)) * (7 * 8)) * 9))
(1 * 2) - (3 + ((4 * ((5 - 6) * (7 * 8))) * 9))
(1 * 2) - (3 + (((4 * (5 - 6)) * 7) * (8 * 9)))
(1 * 2) - (3 + ((4 * ((5 - 6) * 7)) * (8 * 9)))
(1 * 2) - (3 + (4 * (((5 - 6) * (7 * 8)) * 9)))
(1 * 2) - (3 + (4 * (((5 - 6) * 7) * (8 * 9))))
(1 * 2) - (3 + ((((4 * (5 - 6)) * 7) * 8) * 9))
(1 * 2) - (3 + (((4 * ((5 - 6) * 7)) * 8) * 9))
(1 * 2) - (3 + ((4 * (((5 - 6) * 7) * 8)) * 9))
(1 * 2) - (3 + (4 * ((((5 - 6) * 7) * 8) * 9)))
((1 + ((((2 / 3) * (4 + 5)) * 6) * 7)) * 8) - 9
(1 * 2) - (3 + ((((4 / (5 - 6)) * 7) * 8) * 9))
((1 + (((2 / 3) * (4 + 5)) * (6 * 7))) * 8) - 9
(1 * 2) - (3 + (((4 / (5 - 6)) * (7 * 8)) * 9))
(1 * 2) - (3 + (((4 / (5 - 6)) * 7) * (8 * 9)))
((1 + (((2 / 3) * ((4 + 5) * 6)) * 7)) * 8) - 9
((1 + (((2 / (3 / (4 + 5))) * 6) * 7)) * 8) - 9
(1 * 2) - (3 + (((4 / ((5 - 6) / 7)) * 8) * 9))
(1 * 2) - (3 + ((4 / (5 - 6)) * ((7 * 8) * 9)))
(1 * 2) - (3 + ((4 / (5 - 6)) * (7 * (8 * 9))))
((1 + ((2 / 3) * ((4 + 5) * (6 * 7)))) * 8) - 9
((1 + ((2 / 3) * (((4 + 5) * 6) * 7))) * 8) - 9
((1 + ((2 / (3 / (4 + 5))) * (6 * 7))) * 8) - 9
(1 * 2) - (3 + ((4 / ((5 - 6) / (7 * 8))) * 9))
(1 * 2) - (3 + ((4 / ((5 - 6) / 7)) * (8 * 9)))
((1 + ((2 / (3 / ((4 + 5) * 6))) * 7)) * 8) - 9
((1 + ((2 / ((3 / (4 + 5)) / 6)) * 7)) * 8) - 9
(1 * 2) - (3 + ((4 / (((5 - 6) / 7) / 8)) * 9))
(1 * 2) - (3 + (4 / ((5 - 6) / ((7 * 8) * 9))))
(1 * 2) - (3 + (4 / ((5 - 6) / (7 * (8 * 9)))))
((1 + (2 / (3 / ((4 + 5) * (6 * 7))))) * 8) - 9
((1 + (2 / (3 / (((4 + 5) * 6) * 7)))) * 8) - 9
((1 + (2 / ((3 / (4 + 5)) / (6 * 7)))) * 8) - 9
(1 * 2) - (3 + (4 / (((5 - 6) / (7 * 8)) / 9)))
(1 * 2) - (3 + (4 / (((5 - 6) / 7) / (8 * 9))))
((1 + (2 / ((3 / ((4 + 5) * 6)) / 7))) * 8) - 9
((1 + (2 / (((3 / (4 + 5)) / 6) / 7))) * 8) - 9
(1 * 2) - (3 + (4 / ((((5 - 6) / 7) / 8) / 9)))
((1 - (2 - (3 * 4))) * (((5 * 6) - 7) * 8)) - 9
((1 - ((2 * ((3 * 4) - (5 * 6))) * 7)) * 8) - 9
((1 - (2 * (((3 * 4) - (5 * 6)) * 7))) * 8) - 9
(1 * (2 - 3)) - ((4 * (5 - 6)) * ((7 * 8) * 9))
(1 * (2 - 3)) - ((4 * (5 - 6)) * (7 * (8 * 9)))
(1 * (2 - 3)) - (4 * ((5 - 6) * ((7 * 8) * 9)))
(1 * (2 - 3)) - (4 * ((5 - 6) * (7 * (8 * 9))))
((1 - (((2 * 3) * (4 - 5)) * (6 * 7))) * 8) - 9
((1 - ((2 * (3 * (4 - 5))) * (6 * 7))) * 8) - 9
((1 - ((2 * 3) * ((4 - 5) * (6 * 7)))) * 8) - 9
((1 - (2 * ((3 * (4 - 5)) * (6 * 7)))) * 8) - 9
((1 - (2 * (3 * ((4 - 5) * (6 * 7))))) * 8) - 9
(1 * (2 - 3)) - (((4 * (5 - 6)) * (7 * 8)) * 9)
(1 * (2 - 3)) - ((4 * ((5 - 6) * (7 * 8))) * 9)
(1 * (2 - 3)) - (((4 * (5 - 6)) * 7) * (8 * 9))
(1 * (2 - 3)) - ((4 * ((5 - 6) * 7)) * (8 * 9))
(1 * (2 - 3)) - (4 * (((5 - 6) * (7 * 8)) * 9))
(1 * (2 - 3)) - (4 * (((5 - 6) * 7) * (8 * 9)))
((1 - ((((2 * 3) * (4 - 5)) * 6) * 7)) * 8) - 9
((1 - (((2 * (3 * (4 - 5))) * 6) * 7)) * 8) - 9
((1 - (((2 * 3) * ((4 - 5) * 6)) * 7)) * 8) - 9
((1 - ((2 * ((3 * (4 - 5)) * 6)) * 7)) * 8) - 9
((1 - ((2 * (3 * ((4 - 5) * 6))) * 7)) * 8) - 9
((1 - ((2 * 3) * (((4 - 5) * 6) * 7))) * 8) - 9
((1 - (2 * (((3 * (4 - 5)) * 6) * 7))) * 8) - 9
((1 - (2 * ((3 * ((4 - 5) * 6)) * 7))) * 8) - 9
((1 - (2 * (3 * (((4 - 5) * 6) * 7)))) * 8) - 9
(1 * (2 - 3)) - ((((4 * (5 - 6)) * 7) * 8) * 9)
(1 * (2 - 3)) - (((4 * ((5 - 6) * 7)) * 8) * 9)
(1 * (2 - 3)) - ((4 * (((5 - 6) * 7) * 8)) * 9)
(1 * (2 - 3)) - (4 * ((((5 - 6) * 7) * 8) * 9))
((1 - (((2 * (3 / (4 - 5))) * 6) * 7)) * 8) - 9
((1 - ((2 * ((3 / (4 - 5)) * 6)) * 7)) * 8) - 9
((1 - (2 * (((3 / (4 - 5)) * 6) * 7))) * 8) - 9
(1 * (2 - 3)) - ((((4 / (5 - 6)) * 7) * 8) * 9)
((1 - ((2 * (3 / (4 - 5))) * (6 * 7))) * 8) - 9
((1 - (2 * ((3 / (4 - 5)) * (6 * 7)))) * 8) - 9
(1 * (2 - 3)) - (((4 / (5 - 6)) * (7 * 8)) * 9)
(1 * (2 - 3)) - (((4 / (5 - 6)) * 7) * (8 * 9))
((1 - ((((2 * 3) / (4 - 5)) * 6) * 7)) * 8) - 9
((1 - ((2 * (3 / ((4 - 5) / 6))) * 7)) * 8) - 9
((1 - (2 * ((3 / ((4 - 5) / 6)) * 7))) * 8) - 9
(1 * (2 - 3)) - (((4 / ((5 - 6) / 7)) * 8) * 9)
(1 * (2 - 3)) - ((4 / (5 - 6)) * ((7 * 8) * 9))
(1 * (2 - 3)) - ((4 / (5 - 6)) * (7 * (8 * 9)))
((1 - (((2 * 3) / (4 - 5)) * (6 * 7))) * 8) - 9
((1 - (((2 * 3) / ((4 - 5) / 6)) * 7)) * 8) - 9
((1 - (2 * (3 / ((4 - 5) / (6 * 7))))) * 8) - 9
(1 * (2 - 3)) - ((4 / ((5 - 6) / (7 * 8))) * 9)
(1 * (2 - 3)) - ((4 / ((5 - 6) / 7)) * (8 * 9))
((1 - (2 * (3 / (((4 - 5) / 6) / 7)))) * 8) - 9
(1 * (2 - 3)) - ((4 / (((5 - 6) / 7) / 8)) * 9)
((1 - ((2 * 3) / ((4 - 5) / (6 * 7)))) * 8) - 9
((1 - ((2 * 3) / (((4 - 5) / 6) / 7))) * 8) - 9
(1 * (2 - 3)) - (4 / ((5 - 6) / ((7 * 8) * 9)))
(1 * (2 - 3)) - (4 / ((5 - 6) / (7 * (8 * 9))))
(1 * (2 - 3)) - (4 / (((5 - 6) / (7 * 8)) / 9))
(1 * (2 - 3)) - (4 / (((5 - 6) / 7) / (8 * 9)))
(1 * (2 - 3)) - (4 / ((((5 - 6) / 7) / 8) / 9))
((((1 + (2 * 3)) + 4) * ((5 * 6) - 7)) * 8) - 9
(((1 + ((2 * 3) + 4)) * ((5 * 6) - 7)) * 8) - 9
((((1 - 2) + (3 * 4)) * ((5 * 6) - 7)) * 8) - 9
((1 * ((2 * (3 + ((4 * 5) * 6))) + 7)) * 8) - 9
((1 * ((2 * (3 + (4 * (5 * 6)))) + 7)) * 8) - 9
(1 * (((2 * (3 + ((4 * 5) * 6))) + 7) * 8)) - 9
(1 * (((2 * (3 + (4 * (5 * 6)))) + 7) * 8)) - 9
(((1 - (2 - (3 * 4))) * ((5 * 6) - 7)) * 8) - 9
(1 / (2 - 3)) - ((4 * (5 - 6)) * ((7 * 8) * 9))
(1 / (2 - 3)) - ((4 * (5 - 6)) * (7 * (8 * 9)))
(1 / (2 - 3)) - (4 * ((5 - 6) * ((7 * 8) * 9)))
(1 / (2 - 3)) - (4 * ((5 - 6) * (7 * (8 * 9))))
(1 / (2 - 3)) - (((4 * (5 - 6)) * (7 * 8)) * 9)
(1 / (2 - 3)) - ((4 * ((5 - 6) * (7 * 8))) * 9)
(1 / (2 - 3)) - (((4 * (5 - 6)) * 7) * (8 * 9))
(1 / (2 - 3)) - ((4 * ((5 - 6) * 7)) * (8 * 9))
(1 / (2 - 3)) - (4 * (((5 - 6) * (7 * 8)) * 9))
(1 / (2 - 3)) - (4 * (((5 - 6) * 7) * (8 * 9)))
(1 / (2 - 3)) - ((((4 * (5 - 6)) * 7) * 8) * 9)
(1 / (2 - 3)) - (((4 * ((5 - 6) * 7)) * 8) * 9)
(1 / (2 - 3)) - ((4 * (((5 - 6) * 7) * 8)) * 9)
(1 / (2 - 3)) - (4 * ((((5 - 6) * 7) * 8) * 9))
(1 / (2 - 3)) - ((((4 / (5 - 6)) * 7) * 8) * 9)
(1 / (2 - 3)) - (((4 / (5 - 6)) * (7 * 8)) * 9)
(1 / (2 - 3)) - (((4 / (5 - 6)) * 7) * (8 * 9))
(1 / (2 - 3)) - (((4 / ((5 - 6) / 7)) * 8) * 9)
(1 / (2 - 3)) - ((4 / (5 - 6)) * ((7 * 8) * 9))
(1 / (2 - 3)) - ((4 / (5 - 6)) * (7 * (8 * 9)))
(1 / (2 - 3)) - ((4 / ((5 - 6) / (7 * 8))) * 9)
(1 / (2 - 3)) - ((4 / ((5 - 6) / 7)) * (8 * 9))
(1 / (2 - 3)) - ((4 / (((5 - 6) / 7) / 8)) * 9)
(1 / (2 - 3)) - (4 / ((5 - 6) / ((7 * 8) * 9)))
(1 / (2 - 3)) - (4 / ((5 - 6) / (7 * (8 * 9))))
(1 / (2 - 3)) - (4 / (((5 - 6) / (7 * 8)) / 9))
(1 / (2 - 3)) - (4 / (((5 - 6) / 7) / (8 * 9)))
(1 / (2 - 3)) - (4 / ((((5 - 6) / 7) / 8) / 9))
(1 / 2) - (((3 / 4) - 5) * (6 * (7 + (8 * 9))))
(1 / 2) - ((((3 / 4) - 5) * 6) * (7 + (8 * 9)))
((((1 * 2) + 3) + (4 * 5)) + 6) * ((7 * 8) + 9)
((1 + (2 * ((3 + 4) + 5))) + 6) * ((7 * 8) + 9)
((1 + (2 * (3 + (4 + 5)))) + 6) * ((7 * 8) + 9)
(1 + ((2 * ((3 + 4) + 5)) + 6)) * ((7 * 8) + 9)
(1 + ((2 * (3 + (4 + 5))) + 6)) * ((7 * 8) + 9)
(((((1 * 2) + 3) * 4) + 5) + 6) * ((7 * 8) + 9)
(((1 * (2 + 3)) + (4 * 5)) + 6) * ((7 * 8) + 9)
(((1 * 2) + (3 + (4 * 5))) + 6) * ((7 * 8) + 9)
(((1 * 2) + 3) + ((4 * 5) + 6)) * ((7 * 8) + 9)
((((1 - 2) * 3) + 4) + (5 * 6)) * ((7 * 8) + 9)
(((1 * 2) + (3 - 4)) + (5 * 6)) * ((7 * 8) + 9)
((((1 * (2 + 3)) * 4) + 5) + 6) * ((7 * 8) + 9)
(((1 * ((2 + 3) * 4)) + 5) + 6) * ((7 * 8) + 9)
((((1 * 2) + 3) - 4) + (5 * 6)) * ((7 * 8) + 9)
(((1 * (2 + 3)) - 4) + (5 * 6)) * ((7 * 8) + 9)
((1 - (2 * 3)) + (4 - (5 * 6))) * (7 - (8 * 9))
((1 - 2) + ((3 - 4) * (5 * 6))) * (7 - (8 * 9))
(1 + ((2 * (3 - 4)) - (5 * 6))) * (7 - (8 * 9))
((1 - 2) + (((3 - 4) * 5) * 6)) * (7 - (8 * 9))
(1 + ((2 / (3 - 4)) - (5 * 6))) * (7 - (8 * 9))
((1 * ((2 + 3) + (4 * 5))) + 6) * ((7 * 8) + 9)
((1 * (2 + (3 + (4 * 5)))) + 6) * ((7 * 8) + 9)
((1 * (2 + 3)) + ((4 * 5) + 6)) * ((7 * 8) + 9)
((1 * 2) + ((3 + (4 * 5)) + 6)) * ((7 * 8) + 9)
((1 * 2) + (3 + ((4 * 5) + 6))) * ((7 * 8) + 9)
((1 * (2 + (3 - 4))) + (5 * 6)) * ((7 * 8) + 9)
((1 * 2) + ((3 - 4) + (5 * 6))) * ((7 * 8) + 9)
(1 + ((2 + (3 - 4)) * (5 * 6))) * ((7 * 8) + 9)
((1 * (((2 + 3) * 4) + 5)) + 6) * ((7 * 8) + 9)
((((1 * 2) + 3) * 4) + (5 + 6)) * ((7 * 8) + 9)
(1 + (((2 * 3) + (4 - 5)) * 6)) * ((7 * 8) + 9)
1 * ((2 * (3 + ((4 * 5) * ((6 * 7) + 8)))) + 9)
1 * ((2 * (3 + (4 * (5 * ((6 * 7) + 8))))) + 9)
(((((1 + 2) / 3) + 4) * 5) + 6) * ((7 * 8) + 9)
((1 * ((2 + 3) - 4)) + (5 * 6)) * ((7 * 8) + 9)
(((1 - 2) * 3) + (4 + (5 * 6))) * ((7 * 8) + 9)
(1 + ((((2 * 3) + 4) - 5) * 6)) * ((7 * 8) + 9)
(1 + (((2 + 3) - 4) * (5 * 6))) * ((7 * 8) + 9)
(((1 - 2) * (3 - 4)) + (5 * 6)) * ((7 * 8) + 9)
((1 * 2) + (3 - (4 - (5 * 6)))) * ((7 * 8) + 9)
(((((1 + 2) * 3) - 4) * 5) + 6) * ((7 * 8) + 9)
((1 * 2) + (((3 + 4) * 5) - 6)) * ((7 * 8) + 9)
(((1 - ((2 - 3) * 4)) * 5) + 6) * ((7 * 8) + 9)
(1 + ((2 - (3 * (4 - 5))) * 6)) * ((7 * 8) + 9)
1 * (2 + ((3 - (4 * ((5 / 6) - (7 * 8)))) * 9))
1 * ((2 * (3 - ((4 * 5) * (6 - (7 * 8))))) + 9)
1 * ((2 * (3 - (4 * (5 * (6 - (7 * 8)))))) + 9)
1 * (2 + (3 * (((4 * 5) * ((6 * 7) - 8)) - 9)))
1 * (2 + (3 * ((4 * (5 * ((6 * 7) - 8))) - 9)))
(1 + ((2 - (3 / (4 - 5))) * 6)) * ((7 * 8) + 9)
(((1 * (2 + 3)) * 4) + (5 + 6)) * ((7 * 8) + 9)
((1 * ((2 + 3) * 4)) + (5 + 6)) * ((7 * 8) + 9)
(1 + (((2 + (3 - 4)) * 5) * 6)) * ((7 * 8) + 9)
(1 + ((2 * 3) * ((4 - 5) + 6))) * ((7 * 8) + 9)
(1 + (2 * (3 * ((4 - 5) + 6)))) * ((7 * 8) + 9)
(1 + ((((2 + 3) - 4) * 5) * 6)) * ((7 * 8) + 9)
(1 + ((2 * 3) * (4 - (5 - 6)))) * ((7 * 8) + 9)
(1 + (2 * (3 * (4 - (5 - 6))))) * ((7 * 8) + 9)
((1 * (2 / (3 * 4))) + 5) * (6 * ((7 * 8) + 9))
((1 * ((2 / 3) / 4)) + 5) * (6 * ((7 * 8) + 9))
((1 / (2 + (3 - 4))) + (5 * 6)) * ((7 * 8) + 9)
((1 / ((2 + 3) - 4)) + (5 * 6)) * ((7 * 8) + 9)
(((1 - 2) / (3 - 4)) + (5 * 6)) * ((7 * 8) + 9)
(((1 * 2) / (3 * 4)) + 5) * (6 * ((7 * 8) + 9))
(((1 * (2 / 3)) / 4) + 5) * (6 * ((7 * 8) + 9))
((((1 * 2) / 3) / 4) + 5) * (6 * ((7 * 8) + 9))
(1 - (((2 * 3) + (4 * 5)) + 6)) * (7 - (8 * 9))
(((1 - (2 * 3)) + 4) - (5 * 6)) * (7 - (8 * 9))
(1 - (((2 * 3) - 4) + (5 * 6))) * (7 - (8 * 9))
(1 - ((2 * 3) + ((4 * 5) + 6))) * (7 - (8 * 9))
(((1 * 2) + 3) - (4 - (5 * 6))) * ((7 * 8) + 9)
((1 + (2 * (3 - 4))) - (5 * 6)) * (7 - (8 * 9))
(((1 * 2) + ((3 + 4) * 5)) - 6) * ((7 * 8) + 9)
1 * (2 - (3 + ((4 * (5 - 6)) * ((7 * 8) * 9))))
1 * (2 - (3 + ((4 * (5 - 6)) * (7 * (8 * 9)))))
1 * (2 - (3 + (4 * ((5 - 6) * ((7 * 8) * 9)))))
1 * (2 - (3 + (4 * ((5 - 6) * (7 * (8 * 9))))))
1 * (2 - (3 + (((4 * (5 - 6)) * (7 * 8)) * 9)))
1 * (2 - (3 + ((4 * ((5 - 6) * (7 * 8))) * 9)))
1 * (2 - (3 + (((4 * (5 - 6)) * 7) * (8 * 9))))
1 * (2 - (3 + ((4 * ((5 - 6) * 7)) * (8 * 9))))
1 * (2 - (3 + (4 * (((5 - 6) * (7 * 8)) * 9))))
1 * (2 - (3 + (4 * (((5 - 6) * 7) * (8 * 9)))))
1 * (2 - (3 + ((((4 * (5 - 6)) * 7) * 8) * 9)))
1 * (2 - (3 + (((4 * ((5 - 6) * 7)) * 8) * 9)))
1 * (2 - (3 + ((4 * (((5 - 6) * 7) * 8)) * 9)))
1 * (2 - (3 + (4 * ((((5 - 6) * 7) * 8) * 9))))
1 * (2 - (3 + ((((4 / (5 - 6)) * 7) * 8) * 9)))
1 * (2 - (3 + (((4 / (5 - 6)) * (7 * 8)) * 9)))
1 * (2 - (3 + (((4 / (5 - 6)) * 7) * (8 * 9))))
1 * (2 - (3 + (((4 / ((5 - 6) / 7)) * 8) * 9)))
1 * (2 - (3 + ((4 / (5 - 6)) * ((7 * 8) * 9))))
1 * (2 - (3 + ((4 / (5 - 6)) * (7 * (8 * 9)))))
1 * (2 - (3 + ((4 / ((5 - 6) / (7 * 8))) * 9)))
1 * (2 - (3 + ((4 / ((5 - 6) / 7)) * (8 * 9))))
1 * (2 - (3 + ((4 / (((5 - 6) / 7) / 8)) * 9)))
((1 + (2 / (3 - 4))) - (5 * 6)) * (7 - (8 * 9))
1 * (2 - (3 + (4 / ((5 - 6) / ((7 * 8) * 9)))))
1 * (2 - (3 + (4 / ((5 - 6) / (7 * (8 * 9))))))
1 * (2 - (3 + (4 / (((5 - 6) / (7 * 8)) / 9))))
1 * (2 - (3 + (4 / (((5 - 6) / 7) / (8 * 9)))))
1 * (2 - (3 + (4 / ((((5 - 6) / 7) / 8) / 9))))
((1 - ((2 * 3) + (4 * 5))) - 6) * (7 - (8 * 9))
(((1 - (2 * 3)) - (4 * 5)) - 6) * (7 - (8 * 9))
((1 - ((2 * 3) - 4)) - (5 * 6)) * (7 - (8 * 9))
((1 - (2 * 3)) - ((4 * 5) + 6)) * (7 - (8 * 9))
((((1 - (2 * 3)) * 4) - 5) - 6) * (7 - (8 * 9))
(1 - ((2 * 3) - (4 - (5 * 6)))) * (7 - (8 * 9))
(1 - (2 - ((3 - 4) * (5 * 6)))) * (7 - (8 * 9))
(((1 * 2) - (3 * (4 + 5))) - 6) * (7 - (8 * 9))
(1 - (2 - (((3 - 4) * 5) * 6))) * (7 - (8 * 9))
1 * ((2 - 3) - ((4 * (5 - 6)) * ((7 * 8) * 9)))
1 * ((2 - 3) - ((4 * (5 - 6)) * (7 * (8 * 9))))
1 * ((2 - 3) - (4 * ((5 - 6) * ((7 * 8) * 9))))
1 * ((2 - 3) - (4 * ((5 - 6) * (7 * (8 * 9)))))
1 * ((2 - 3) - (((4 * (5 - 6)) * (7 * 8)) * 9))
1 * ((2 - 3) - ((4 * ((5 - 6) * (7 * 8))) * 9))
1 * ((2 - 3) - (((4 * (5 - 6)) * 7) * (8 * 9)))
1 * ((2 - 3) - ((4 * ((5 - 6) * 7)) * (8 * 9)))
1 * ((2 - 3) - (4 * (((5 - 6) * (7 * 8)) * 9)))
1 * ((2 - 3) - (4 * (((5 - 6) * 7) * (8 * 9))))
1 * ((2 - 3) - ((((4 * (5 - 6)) * 7) * 8) * 9))
1 * ((2 - 3) - (((4 * ((5 - 6) * 7)) * 8) * 9))
1 * ((2 - 3) - ((4 * (((5 - 6) * 7) * 8)) * 9))
1 * ((2 - 3) - (4 * ((((5 - 6) * 7) * 8) * 9)))
1 * ((2 - 3) - ((((4 / (5 - 6)) * 7) * 8) * 9))
1 * ((2 - 3) - (((4 / (5 - 6)) * (7 * 8)) * 9))
1 * ((2 - 3) - (((4 / (5 - 6)) * 7) * (8 * 9)))
1 * ((2 - 3) - (((4 / ((5 - 6) / 7)) * 8) * 9))
1 * ((2 - 3) - ((4 / (5 - 6)) * ((7 * 8) * 9)))
1 * ((2 - 3) - ((4 / (5 - 6)) * (7 * (8 * 9))))
1 * ((2 - 3) - ((4 / ((5 - 6) / (7 * 8))) * 9))
1 * ((2 - 3) - ((4 / ((5 - 6) / 7)) * (8 * 9)))
1 * ((2 - 3) - ((4 / (((5 - 6) / 7) / 8)) * 9))
1 * ((2 - 3) - (4 / ((5 - 6) / ((7 * 8) * 9))))
1 * ((2 - 3) - (4 / ((5 - 6) / (7 * (8 * 9)))))
1 * ((2 - 3) - (4 / (((5 - 6) / (7 * 8)) / 9)))
1 * ((2 - 3) - (4 / (((5 - 6) / 7) / (8 * 9))))
1 * ((2 - 3) - (4 / ((((5 - 6) / 7) / 8) / 9)))
((1 * (2 + 3)) - (4 - (5 * 6))) * ((7 * 8) + 9)
(1 - (((2 - (3 * 4)) + 5) * 6)) * ((7 * 8) + 9)
((1 * (2 + ((3 + 4) * 5))) - 6) * ((7 * 8) + 9)
((1 * 2) - ((3 * (4 + 5)) + 6)) * (7 - (8 * 9))
1 * ((((2 * (3 + ((4 * 5) * 6))) + 7) * 8) - 9)
1 * ((((2 * (3 + (4 * (5 * 6)))) + 7) * 8) - 9)
(1 - ((2 + 3) * ((4 - 5) * 6))) * ((7 * 8) + 9)
(1 - 2) * ((3 - (4 + (5 * 6))) * ((7 * 8) + 9))
(1 - ((2 - ((3 * 4) - 5)) * 6)) * ((7 * 8) + 9)
(1 - 2) * (((3 - 4) - (5 * 6)) * ((7 * 8) + 9))
(((((1 * 2) - 3) - 4) * 5) - 6) * (7 - (8 * 9))
((((1 * 2) - (3 + 4)) * 5) - 6) * (7 - (8 * 9))
((1 * (2 - (3 * (4 + 5)))) - 6) * (7 - (8 * 9))
(((1 - (2 * 3)) * 4) - (5 + 6)) * (7 - (8 * 9))
((((1 * (2 - 3)) - 4) * 5) - 6) * (7 - (8 * 9))
((((1 / (2 - 3)) - 4) * 5) - 6) * (7 - (8 * 9))
(1 - (((2 + 3) * (4 - 5)) * 6)) * ((7 * 8) + 9)
(((1 * (2 - (3 + 4))) * 5) - 6) * (7 - (8 * 9))
((1 * ((2 - (3 + 4)) * 5)) - 6) * (7 - (8 * 9))
(((1 * ((2 - 3) - 4)) * 5) - 6) * (7 - (8 * 9))
((1 * (((2 - 3) - 4) * 5)) - 6) * (7 - (8 * 9))
(1 - (((2 + 3) / (4 - 5)) * 6)) * ((7 * 8) + 9)
(1 - ((2 + 3) / ((4 - 5) / 6))) * ((7 * 8) + 9)
(((1 - (2 + 3)) / 4) - (5 * 6)) * (7 - (8 * 9))
((((1 - 2) - 3) / 4) - (5 * 6)) * (7 - (8 * 9))
(1 * (((2 + 3) + (4 * 5)) + 6)) * ((7 * 8) + 9)
(1 * ((2 + (3 + (4 * 5))) + 6)) * ((7 * 8) + 9)
(1 * ((2 + 3) + ((4 * 5) + 6))) * ((7 * 8) + 9)
(1 * (2 + ((3 + (4 * 5)) + 6))) * ((7 * 8) + 9)
(1 * (2 + (3 + ((4 * 5) + 6)))) * ((7 * 8) + 9)
1 * ((((2 + 3) + (4 * 5)) + 6) * ((7 * 8) + 9))
1 * (((2 + (3 + (4 * 5))) + 6) * ((7 * 8) + 9))
1 * (((2 + 3) + ((4 * 5) + 6)) * ((7 * 8) + 9))
1 * ((2 + ((3 + (4 * 5)) + 6)) * ((7 * 8) + 9))
1 * ((2 + (3 + ((4 * 5) + 6))) * ((7 * 8) + 9))
(1 * ((2 + (3 - 4)) + (5 * 6))) * ((7 * 8) + 9)
(1 * (2 + ((3 - 4) + (5 * 6)))) * ((7 * 8) + 9)
1 * (((2 + (3 - 4)) + (5 * 6)) * ((7 * 8) + 9))
1 * ((2 + ((3 - 4) + (5 * 6))) * ((7 * 8) + 9))
(1 * ((((2 + 3) * 4) + 5) + 6)) * ((7 * 8) + 9)
1 * (((((2 + 3) * 4) + 5) + 6) * ((7 * 8) + 9))
(1 * (((2 + 3) - 4) + (5 * 6))) * ((7 * 8) + 9)
1 * ((((2 + 3) - 4) + (5 * 6)) * ((7 * 8) + 9))
(1 * (2 + (3 - (4 - (5 * 6))))) * ((7 * 8) + 9)
1 * ((2 + (3 - (4 - (5 * 6)))) * ((7 * 8) + 9))
(1 * (2 + (((3 + 4) * 5) - 6))) * ((7 * 8) + 9)
1 * ((2 + (((3 + 4) * 5) - 6)) * ((7 * 8) + 9))
(1 * (((2 + 3) * 4) + (5 + 6))) * ((7 * 8) + 9)
1 * ((((2 + 3) * 4) + (5 + 6)) * ((7 * 8) + 9))
(((1 * (2 / (3 * 4))) + 5) * 6) * ((7 * 8) + 9)
(((1 * ((2 / 3) / 4)) + 5) * 6) * ((7 * 8) + 9)
((((1 * 2) / (3 * 4)) + 5) * 6) * ((7 * 8) + 9)
(1 * ((2 / (3 * 4)) + 5)) * (6 * ((7 * 8) + 9))
1 * (((2 / (3 * 4)) + 5) * (6 * ((7 * 8) + 9)))
((((1 * (2 / 3)) / 4) + 5) * 6) * ((7 * 8) + 9)
(((((1 * 2) / 3) / 4) + 5) * 6) * ((7 * 8) + 9)
(1 * (((2 / 3) / 4) + 5)) * (6 * ((7 * 8) + 9))
1 * ((((2 / 3) / 4) + 5) * (6 * ((7 * 8) + 9)))
(1 * ((2 + 3) - (4 - (5 * 6)))) * ((7 * 8) + 9)
1 * (((2 + 3) - (4 - (5 * 6))) * ((7 * 8) + 9))
(1 * ((2 + ((3 + 4) * 5)) - 6)) * ((7 * 8) + 9)
1 * (((2 + ((3 + 4) * 5)) - 6) * ((7 * 8) + 9))
(1 * (2 - ((3 * (4 + 5)) + 6))) * (7 - (8 * 9))
1 * ((2 - ((3 * (4 + 5)) + 6)) * (7 - (8 * 9)))
((1 - 2) * (3 - (4 + (5 * 6)))) * ((7 * 8) + 9)
((1 - 2) * ((3 - 4) - (5 * 6))) * ((7 * 8) + 9)
(1 * ((2 - (3 * (4 + 5))) - 6)) * (7 - (8 * 9))
1 * (((2 - (3 * (4 + 5))) - 6) * (7 - (8 * 9)))
(1 * (((2 - (3 + 4)) * 5) - 6)) * (7 - (8 * 9))
1 * ((((2 - (3 + 4)) * 5) - 6) * (7 - (8 * 9)))
(1 * ((((2 - 3) - 4) * 5) - 6)) * (7 - (8 * 9))
1 * (((((2 - 3) - 4) * 5) - 6) * (7 - (8 * 9)))
((1 * ((2 / (3 * 4)) + 5)) * 6) * ((7 * 8) + 9)
(1 * (((2 / (3 * 4)) + 5) * 6)) * ((7 * 8) + 9)
1 * ((((2 / (3 * 4)) + 5) * 6) * ((7 * 8) + 9))
((1 * (((2 / 3) / 4) + 5)) * 6) * ((7 * 8) + 9)
(1 * ((((2 / 3) / 4) + 5) * 6)) * ((7 * 8) + 9)
1 * (((((2 / 3) / 4) + 5) * 6) * ((7 * 8) + 9))
Solution 3:
I did this: $2015+9=2024$
$2024\div 8=253$
$253-7=246$
$246\div 6=41$
$41-5=36$
$36\div 4=9$
$9\div 3=3$
$3-2=1$
$1-1=0$.
Then $2015=(((1+2)\cdot 3\cdot 4+5)\cdot 6+7)\cdot 8-9$