All 100 targets have a solution.
\(1 = 9 - ( 15 - 7 )\)
\(2 = \frac{ 19 - 5 }{ 7 }\)
\(3 = \frac{ 57 }{ 19 }\)
\(4 = \sqrt{91 - 75 }\)
\(5 = 15 - 7 - \sqrt{9 }\)
\(6 = ( \frac{ 57 }{ 19 } )!\)
\(7 = 19 - 5 - 7 \)
\(8 = \sqrt{79 - 15 }\)
\(9 = 17 - 5 - \sqrt{9 }\)
\(10 = \frac{ 5! }{ 19 - 7 }\)
\(11 = 15 - 7 + \sqrt{9 }\)
\(12 = 71 - 59 \)
\(13 = 15 + 7 - 9 \)
\(14 = 1^{7} \cdot 5 + 9 \)
\(15 = \sqrt{15^{9 - 7 }}\)
\(16 = 91 - 75 \)
\(17 = 15 - 7 + 9 \)
\(18 = \frac{ 91 }{ 7 } + 5 \)
\(19 = 15 + 7 - \sqrt{9 }\)
\(20 = \frac{ 57 }{ \sqrt{9} } + 1 \)
\(21 = 17 - 5 + 9 \)
\(22 = \frac{ 71 - 5 }{ \sqrt{9 } }\)
\(23 = 5! - 97 \cdot 1 \)
\(24 = 95 - 71 \)
\(25 = 15 + 7 + \sqrt{9 }\)
\(26 = 71 - 5 \cdot 9 \)
\(27 = ( 7 - ( 5 - 1 ) ) \cdot 9 \)
\(28 = 79 - 51 \)
\(29 = ( 5 - 1 ) \cdot 9 - 7 \)
\(30 = ( 9 - 7 ) \cdot 15 \)
\(31 = 15 + 7 + 9 \)
\(32 = 5 \cdot \sqrt{9} + 17 \)
\(33 = 17 \cdot 9 - 5 !\)
\(34 = 91 - 57 \)
\(35 = 51 - 7 - 9 \)
\(36 = 7 \cdot \sqrt{9} + 15 \)
\(37 = ( 5 - 1 ) \cdot 7 + 9 \)
\(38 = 57 - 19 \)
\(39 = ( 7 - 1 ) \cdot 5 + 9 \)
\(40 = ( 17 - 9 ) \cdot 5 \)
\(41 = ( 9 - 5 )! + 17 \)
\(42 = 59 - 17 \)
\(43 = 5 \cdot 7 - 1 + 9 \)
\(44 = 1 \cdot 5 \cdot 7 + 9 \)
\(45 = 1^{7} \cdot 5 \cdot 9 \)
\(46 = 97 - 51 \)
\(47 = 57 - 1 - 9 \)
\(48 = 7 \cdot 9 - 15 \)
\(49 = 51 + 7 - 9 \)
\(50 = ( 1^{7} + 9 ) \cdot 5 \)
\(51 = 59 - 1 - 7 \)
\(52 = 59 \cdot 1 - 7 \)
\(53 = 51 - 7 + 9 \)
\(54 = 5 \cdot 7 + 19 \)
\(55 = 51 + 7 - \sqrt{9 }\)
\(56 = 75 - 19 \)
\(57 = 1^{9} \cdot 57 \)
\(58 = 1^{9} + 57 \)
\(59 = 179 - 5 !\)
\(60 = ( 19 - 7 ) \cdot 5 \)
\(61 = 51 + 7 + \sqrt{9 }\)
\(62 = 5 \cdot 9 + 17 \)
\(63 = 71 - 5 - \sqrt{9 }\)
\(64 = 79 - 15 \)
\(65 = 57 - 1 + 9 \)
\(66 = 57 \cdot 1 + 9 \)
\(67 = 51 + 7 + 9 \)
\(68 = ( 9 - 5 ) \cdot 17 \)
\(69 = 71 - 5 + \sqrt{9 }\)
\(70 = ( 17 - \sqrt{9} ) \cdot 5 \)
\(71 = 75 - 1 - \sqrt{9 }\)
\(72 = ( 15 - 7 ) \cdot 9 \)
\(73 = 79 - 1 - 5 \)
\(74 = 75 - 1^{9 }\)
\(75 = 71 - 5 + 9 \)
\(76 = 17 + 59 \)
\(77 = 197 - 5 !\)
\(78 = 95 - 17 \)
\(79 = 1^{5} \cdot 79 \)
\(80 = 1^{5} + 79 \)
\(81 = \sqrt{5 - 1} + 79 \)
\(82 = 97 - 15 \)
\(83 = 75 - 1 + 9 \)
\(84 = 75 \cdot 1 + 9 \)
\(85 = 71 + 5 + 9 \)
\(86 = 5 \cdot \sqrt{9} + 71 \)
\(87 = 95 - 1 - 7 \)
\(88 = 19 \cdot 5 - 7 \)
\(89 = 91 + 5 - 7 \)
\(90 = \sqrt{1 + 5!} + 79 \)
\(91 = 97 - 1 - 5 \)
\(92 = 97 \cdot 1 - 5 \)
\(93 = 91 - 5 + 7 \)
\(94 = 15 + 79 \)
\(95 = 1^{7} \cdot 95 \)
\(96 = 15 \cdot 7 - 9 \)
\(97 = 1^{5} \cdot 97 \)
\(98 = ( 19 - 5 ) \cdot 7 \)
\(99 = \frac{ 7! + 9 }{ 51 }\)
\(100 = ( 17 + \sqrt{9} ) \cdot 5 \)