All 100 targets have a solution.
\(1 = 1^{\sqrt{529 }}\)
\(2 = 9 - ( 12 - 5 )\)
\(3 = \frac{ 12 }{ 9 - 5 }\)
\(4 = 15 - 2 - 9 \)
\(5 = 1^{29} \cdot 5 \)
\(6 = 25 - 19 \)
\(7 = \frac{ 19 - 5 }{ 2 }\)
\(8 = 12 + 5 - 9 \)
\(9 = 129 - 5 !\)
\(10 = 1^{25} + 9 \)
\(11 = ( 12 - 9 )! + 5 \)
\(12 = ( 15 - 9 ) \cdot 2 \)
\(13 = 2^{5} - 19 \)
\(14 = 29 - 15 \)
\(15 = ( 12 - 9 ) \cdot 5 \)
\(16 = 12 - 5 + 9 \)
\(17 = 21 + 5 - 9 \)
\(18 = ( 5 - ( 1 + 2 ) ) \cdot 9 \)
\(19 = \frac{ 5! }{ 12 } + 9 \)
\(20 = 12 + 5 + \sqrt{9 }\)
\(21 = 15 \cdot 2 - 9 \)
\(22 = 51 - 29 \)
\(23 = \sqrt{529} \cdot 1 \)
\(24 = \sqrt{529} + 1 \)
\(25 = \frac{ 15^{2} }{ 9 }\)
\(26 = 12 + 5 + 9 \)
\(27 = 5 \cdot \sqrt{9} + 12 \)
\(28 = ( 19 - 5 ) \cdot 2 \)
\(29 = 2 \cdot 5 + 19 \)
\(30 = 1^{5} + 29 \)
\(31 = 12 \cdot \sqrt{9} - 5 \)
\(32 = 2^{\frac{ 15 }{ \sqrt{9 } }}\)
\(33 = 52 - 19 \)
\(34 = 25 \cdot 1 + 9 \)
\(35 = 21 + 5 + 9 \)
\(36 = ( 15 - 9 )^{2 }\)
\(37 = \sqrt{2^{1 + 9}} + 5 \)
\(38 = 59 - 21 \)
\(39 = 91 - 52 \)
\(40 = 51 - 2 - 9 \)
\(41 = 92 - 51 \)
\(42 = 52 - 1 - 9 \)
\(43 = 19 \cdot 2 + 5 \)
\(44 = 15 + 29 \)
\(45 = ( 12 - \sqrt{9} ) \cdot 5 \)
\(46 = \sqrt{25} \cdot 9 + 1 \)
\(47 = 59 - 12 \)
\(48 = ( 9 - 5 ) \cdot 12 \)
\(49 = 52 \cdot 1 - \sqrt{9 }\)
\(50 = ( \sqrt{9} - 1 ) \cdot 25 \)
\(51 = 12 \cdot 5 - 9 \)
\(52 = 1^{9} \cdot 52 \)
\(53 = 1^{9} + 52 \)
\(54 = ( \sqrt{25} + 1 ) \cdot 9 \)
\(55 = 52 \cdot 1 + \sqrt{9 }\)
\(56 = 59 - 1 - 2 \)
\(57 = 5 \cdot 9 + 12 \)
\(58 = 51 - 2 + 9 \)
\(59 = ( 2 - 1 ) \cdot 59 \)
\(60 = ( 21 - 9 ) \cdot 5 \)
\(61 = 52 \cdot 1 + 9 \)
\(62 = 51 + 2 + 9 \)
\(63 = ( 12 - 5 ) \cdot 9 \)
\(64 = 2^{15 - 9 }\)
\(65 = ( 1 + 2 )! + 59 \)
\(66 = 91 - 25 \)
\(67 = 12 \cdot \sqrt{9}! - 5 \)
\(68 = 21 \cdot \sqrt{9} + 5 \)
\(69 = 12 \cdot 5 + 9 \)
\(70 = ( 1 + 9 ) \cdot ( 2 + 5 )\)
\(71 = 12 + 59 \)
\(72 = 192 - 5 !\)
\(73 = 2^{1 + 5} + 9 \)
\(74 = 95 - 21 \)
\(75 = ( 12 + \sqrt{9} ) \cdot 5 \)
\(76 = 25 \cdot \sqrt{9} + 1 \)
\(77 = 92 - 15 \)
\(78 = ( 21 + 5 ) \cdot \sqrt{9 }\)
\(79 = \frac{ 5! }{ 2 } + 19 \)
\(80 = 21 + 59 \)
\(81 = 91 - 2 \cdot 5 \)
\(82 = 5! - 19 \cdot 2 \)
\(83 = 95 - 12 \)
\(84 = ( 9 - 5 ) \cdot 21 \)
\(85 = ( 19 - 2 ) \cdot 5 \)
\(86 = 91 - \sqrt{25 }\)
\(87 = 92 \cdot 1 - 5 \)
\(88 = 91 + 2 - 5 \)
\(89 = 95 - ( 1 + 2 )!\)
\(90 = \frac{ 5! }{ 12 } \cdot 9 \)
\(91 = 92 - 1^{5 }\)
\(92 = 1^{5} \cdot 92 \)
\(93 = 19 \cdot 5 - 2 \)
\(94 = 91 - 2 + 5 \)
\(95 = 19 \cdot \sqrt{25 }\)
\(96 = \sqrt{25} + 91 \)
\(97 = 19 \cdot 5 + 2 \)
\(98 = 91 + 2 + 5 \)
\(99 = 219 - 5 !\)
\(100 = ( 1 + \sqrt{9} ) \cdot 25 \)