All 100 targets have a solution.
\(1 = 15^{9 - 9 }\)
\(2 = \sqrt{95 - 91 }\)
\(3 = 9 - ( 15 - 9 )\)
\(4 = 95 - 91 \)
\(5 = \frac{ 95 }{ 19 }\)
\(6 = ( 9 - ( 15 - 9 ) )!\)
\(7 = \sqrt{59 - 1 - 9 }\)
\(8 = \frac{ 15 + 9 }{ \sqrt{9 } }\)
\(9 = 15 - 9 + \sqrt{9 }\)
\(10 = \sqrt{1^{5} + 99 }\)
\(11 = 19 - 5 - \sqrt{9 }\)
\(12 = \sqrt{15 \cdot 9 + 9 }\)
\(13 = 9 - 1 \cdot 5 + 9 \)
\(14 = 15 - \frac{ 9 }{ 9 }\)
\(15 = 15 - 9 + 9 \)
\(16 = \frac{ 9 }{ 9 } + 15 \)
\(17 = 19 - 5 + \sqrt{9 }\)
\(18 = ( 15 - 9 ) \cdot \sqrt{9 }\)
\(19 = 1^{5} + 9 + 9 \)
\(20 = \frac{ 91 + 9 }{ 5 }\)
\(21 = 15 - \sqrt{9} + 9 \)
\(22 = 5! - ( 99 - 1 )\)
\(23 = 19 - 5 + 9 \)
\(24 = ( 95 - 91 )!\)
\(25 = 5^{\frac{ 9 }{ 9 } + 1 }\)
\(26 = 5 \cdot 9 - 19 \)
\(27 = 15 + \sqrt{9} + 9 \)
\(28 = \frac{ \sqrt{9}^{5} }{ 9 } + 1 \)
\(29 = ( 1 + \sqrt{9} ) \cdot 5 + 9 \)
\(30 = 9 \cdot 9 - 51 \)
\(31 = ( 9 - 1 ) \cdot 5 - 9 \)
\(32 = 91 - 59 \)
\(33 = 15 + 9 + 9 \)
\(34 = 5 \cdot \sqrt{9} + 19 \)
\(35 = 5 \cdot 9 - 1 - 9 \)
\(36 = 15 \cdot \sqrt{9} - 9 \)
\(37 = 5 \cdot 9 + 1 - 9 \)
\(38 = ( 5 - \sqrt{9} ) \cdot 19 \)
\(39 = 51 - 9 - \sqrt{9 }\)
\(40 = 59 - 19 \)
\(41 = ( 1 + 9 ) \cdot 5 - 9 \)
\(42 = \sqrt{9} \cdot 9 + 15 \)
\(43 = ( 9 - 5 )! + 19 \)
\(44 = 5 \cdot 9 - 1^{9 }\)
\(45 = \frac{ 15 }{ \sqrt{9} } \cdot 9 \)
\(46 = 91 - 5 \cdot 9 \)
\(47 = 5 \cdot 9 - 1 + \sqrt{9 }\)
\(48 = 99 - 51 \)
\(49 = 59 - 1 - 9 \)
\(50 = ( 19 - 9 ) \cdot 5 \)
\(51 = 51 - 9 + 9 \)
\(52 = \frac{ 9 }{ 9 } + 51 \)
\(53 = \frac{ 159 }{ \sqrt{9 } }\)
\(54 = ( 15 - 9 ) \cdot 9 \)
\(55 = 59 - 1 - \sqrt{9 }\)
\(56 = 59 \cdot 1 - \sqrt{9 }\)
\(57 = 51 - \sqrt{9} + 9 \)
\(58 = 59 - 1^{9 }\)
\(59 = 1^{9} \cdot 59 \)
\(60 = 1^{9} + 59 \)
\(61 = 59 - 1 + \sqrt{9 }\)
\(62 = 19 \cdot \sqrt{9} + 5 \)
\(63 = 51 + \sqrt{9} + 9 \)
\(64 = 5 \cdot 9 + 19 \)
\(65 = \frac{ 195 }{ \sqrt{9 } }\)
\(66 = 9 \cdot 9 - 15 \)
\(67 = 59 - 1 + 9 \)
\(68 = 59 \cdot 1 + 9 \)
\(69 = 51 + 9 + 9 \)
\(70 = ( \sqrt{9}! - 1 + 9 ) \cdot 5 \)
\(71 = 95 - ( 1 + \sqrt{9 } )!\)
\(72 = ( 15 + 9 ) \cdot \sqrt{9 }\)
\(73 = ( 5 - 1 )^{\sqrt{9}} + 9 \)
\(74 = ( \sqrt{9}! + 9 ) \cdot 5 - 1 \)
\(75 = 99 - ( 5 - 1 )!\)
\(76 = 95 - 19 \)
\(77 = 91 - 5 - 9 \)
\(78 = 19 + 59 \)
\(79 = 199 - 5 !\)
\(80 = \frac{ ( 15 - 9 )! }{ 9 }\)
\(81 = 9^{\frac{ 1 + 9 }{ 5 }}\)
\(82 = 1^{5} + 9 \cdot 9 \)
\(83 = 91 - 5 - \sqrt{9 }\)
\(84 = 99 - 15 \)
\(85 = 95 - 1 - 9 \)
\(86 = 19 \cdot 5 - 9 \)
\(87 = 91 + 5 - 9 \)
\(88 = 95 - 1 - \sqrt{9 }!\)
\(89 = 91 - 5 + \sqrt{9 }\)
\(90 = ( 9 - \sqrt{9} ) \cdot 15 \)
\(91 = 95 - 1 - \sqrt{9 }\)
\(92 = 19 \cdot 5 - \sqrt{9 }\)
\(93 = 99 - 1 - 5 \)
\(94 = 95 - 1^{9 }\)
\(95 = 91 - 5 + 9 \)
\(96 = 9 \cdot 9 + 15 \)
\(97 = 95 - 1 + \sqrt{9 }\)
\(98 = 99 - 1^{5 }\)
\(99 = 1^{5} \cdot 99 \)
\(100 = 1^{5} + 99 \)