All 100 targets have a solution.
\(1 = 9 - ( 13 - 5 )\)
\(2 = \frac{ 13 + 5 }{ 9 }\)
\(3 = 15 - 3 - 9 \)
\(4 = \sqrt{35 - 19 }\)
\(5 = \frac{ 15 \cdot 3 }{ 9 }\)
\(6 = \frac{ 51 + 3 }{ 9 }\)
\(7 = \sqrt{13 - 9} + 5 \)
\(8 = \sqrt{95 - 31 }\)
\(9 = 13 + 5 - 9 \)
\(10 = \sqrt{13 - 9} \cdot 5 \)
\(11 = 19 - 3 - 5 \)
\(12 = 51 - 39 \)
\(13 = 5 - 1^{3} + 9 \)
\(14 = \frac{ 15 }{ 3 } + 9 \)
\(15 = \frac{ 135 }{ 9 }\)
\(16 = 35 - 19 \)
\(17 = \frac{ 153 }{ 9 }\)
\(18 = \sqrt{315 + 9 }\)
\(19 = 139 - 5 !\)
\(20 = ( 13 - 9 ) \cdot 5 \)
\(21 = 15 - 3 + 9 \)
\(22 = 1 \cdot 3 \cdot 9 - 5 \)
\(23 = 31 - 5 - \sqrt{9 }\)
\(24 = 39 - 15 \)
\(25 = 35 - 1 - 9 \)
\(26 = 35 \cdot 1 - 9 \)
\(27 = 13 + 5 + 9 \)
\(28 = 59 - 31 \)
\(29 = ( 13 - 9 )! + 5 \)
\(30 = \frac{ 5! }{ 13 - 9 }\)
\(31 = 35 - 1 - \sqrt{9 }\)
\(32 = 5 \cdot 9 - 13 \)
\(33 = 39 - 1 - 5 \)
\(34 = 53 - 19 \)
\(35 = \frac{ 315 }{ 9 }\)
\(36 = 15 \cdot 3 - 9 \)
\(37 = ( 9 - 5 )! + 13 \)
\(38 = 91 - 53 \)
\(39 = \frac{ 351 }{ 9 }\)
\(40 = 1^{5} + 39 \)
\(41 = \sqrt{5 - 1} + 39 \)
\(42 = 93 - 51 \)
\(43 = 35 - 1 + 9 \)
\(44 = 35 \cdot 1 + 9 \)
\(45 = \frac{ 135 }{ \sqrt{9 } }\)
\(46 = 59 - 13 \)
\(47 = 5 \cdot 9 - 1 + 3 \)
\(48 = 51 - \frac{ 9 }{ 3 }\)
\(49 = 3! \cdot 5 + 19 \)
\(50 = ( 13 - \sqrt{9} ) \cdot 5 \)
\(51 = \frac{ 153 }{ \sqrt{9 } }\)
\(52 = ( 9 - 5 ) \cdot 13 \)
\(53 = \frac{ 159 }{ 3 }\)
\(54 = 15 + 39 \)
\(55 = 59 - 1 - 3 \)
\(56 = 91 - 35 \)
\(57 = \frac{ 513 }{ 9 }\)
\(58 = 5 \cdot 9 + 13 \)
\(59 = \frac{ 531 }{ 9 }\)
\(60 = 1^{3} + 59 \)
\(61 = 53 - 1 + 9 \)
\(62 = 19 \cdot 3 + 5 \)
\(63 = 51 + 3 + 9 \)
\(64 = 95 - 31 \)
\(65 = \frac{ 195 }{ 3 }\)
\(66 = 51 + 3! + 9 \)
\(67 = ( 5 - 1 )^{3} + \sqrt{9 }\)
\(68 = 13 \cdot 5 + \sqrt{9 }\)
\(69 = 3! \cdot 9 + 15 \)
\(70 = ( \sqrt{9} - 1 ) \cdot 35 \)
\(71 = 95 - ( 1 + 3 )!\)
\(72 = 13 + 59 \)
\(73 = 193 - 5 !\)
\(74 = 13 \cdot 5 + 9 \)
\(75 = 5^{3 - 1} \cdot \sqrt{9 }\)
\(76 = 5 \cdot 9 + 31 \)
\(77 = ( 1 + \sqrt{9} )! + 53 \)
\(78 = 93 - 15 \)
\(79 = \sqrt{3!! \cdot 5} + 19 \)
\(80 = ( 19 - 3 ) \cdot 5 \)
\(81 = ( 15 - 3! ) \cdot 9 \)
\(82 = 95 - 13 \)
\(83 = 91 - 3 - 5 \)
\(84 = ( 19 - 5 ) \cdot 3 !\)
\(85 = ( 5 + 9 ) \cdot 3! + 1 \)
\(86 = 9^{3 - 1} + 5 \)
\(87 = 93 - 1 - 5 \)
\(88 = 93 \cdot 1 - 5 \)
\(89 = 91 + 3 - 5 \)
\(90 = 31 + 59 \)
\(91 = 95 - 1 - 3 \)
\(92 = 19 \cdot 5 - 3 \)
\(93 = 91 - 3 + 5 \)
\(94 = 1^{5} + 93 \)
\(95 = 1^{3} \cdot 95 \)
\(96 = 1^{3} + 95 \)
\(97 = 93 - 1 + 5 \)
\(98 = 19 \cdot 5 + 3 \)
\(99 = 91 + 3 + 5 \)
\(100 = 95 - 1 + 3 !\)