All 100 targets have a solution.
\(1 = \frac{ 14 - 5 }{ 9 }\)
\(2 = 51 - 49 \)
\(3 = \frac{ 15 }{ 9 - 4 }\)
\(4 = \frac{ 41 - 5 }{ 9 }\)
\(5 = \frac{ 45 \cdot 1 }{ 9 }\)
\(6 = \frac{ 15 + 9 }{ 4 }\)
\(7 = \frac{ 54 }{ 9 } + 1 \)
\(8 = 15 - \sqrt{49 }\)
\(9 = \sqrt{95 - 14 }\)
\(10 = \sqrt{41 + 59 }\)
\(11 = \sqrt{14 \cdot 9 - 5 }\)
\(12 = \sqrt{149 - 5 }\)
\(13 = \sqrt{4}^{5} - 19 \)
\(14 = \sqrt{( 5 + 9 ) \cdot 14 }\)
\(15 = \frac{ 51 + 9 }{ 4 }\)
\(16 = 14 + 5 - \sqrt{9 }\)
\(17 = 41 - ( 9 - 5 )!\)
\(18 = 59 - 41 \)
\(19 = ( 5 - 4 ) \cdot 19 \)
\(20 = 15 - 4 + 9 \)
\(21 = 4 \cdot 9 - 15 \)
\(22 = 15 + \sqrt{49 }\)
\(23 = \frac{ 91 + 4! }{ 5 }\)
\(24 = ( 15 - 9 ) \cdot 4 \)
\(25 = ( 14 - 9 ) \cdot 5 \)
\(26 = 45 - 19 \)
\(27 = 41 - 5 - 9 \)
\(28 = 14 + 5 + 9 \)
\(29 = 149 - 5 !\)
\(30 = 15 + 4! - 9 \)
\(31 = 5 \cdot 9 - 14 \)
\(32 = ( \frac{ 9 - 1 }{ 4 } )^{5 }\)
\(33 = ( 15 - 4 ) \cdot \sqrt{9 }\)
\(34 = 49 - 15 \)
\(35 = 54 - 19 \)
\(36 = 45 \cdot 1 - 9 \)
\(37 = 91 - 54 \)
\(38 = 51 - 4 - 9 \)
\(39 = 4 \cdot 5 + 19 \)
\(40 = \frac{ 15 \cdot 4! }{ 9 }\)
\(41 = 15 \cdot \sqrt{9} - 4 \)
\(42 = 45 \cdot 1 - \sqrt{9 }\)
\(43 = 94 - 51 \)
\(44 = 51 - \sqrt{49 }\)
\(45 = 59 - 14 \)
\(46 = 91 - 45 \)
\(47 = 14 \cdot \sqrt{9} + 5 \)
\(48 = 49 - 1^{5 }\)
\(49 = 1^{5} \cdot 49 \)
\(50 = 1^{5} + 49 \)
\(51 = 15 \cdot 4 - 9 \)
\(52 = 51 + 4 - \sqrt{9 }\)
\(53 = 45 - 1 + 9 \)
\(54 = 95 - 41 \)
\(55 = 41 + 5 + 9 \)
\(56 = ( 9 - 5 ) \cdot 14 \)
\(57 = ( 14 + 5 ) \cdot \sqrt{9 }\)
\(58 = \sqrt{49} + 51 \)
\(59 = 5 \cdot 9 + 14 \)
\(60 = 1^{4} + 59 \)
\(61 = 14 \cdot 5 - 9 \)
\(62 = 54 - 1 + 9 \)
\(63 = 54 \cdot 1 + 9 \)
\(64 = 15 + 49 \)
\(65 = ( 9 - 5 )! + 41 \)
\(66 = 9^{\sqrt{4}} - 15 \)
\(67 = 14 \cdot 5 - \sqrt{9 }\)
\(68 = \frac{ 51 \cdot 4 }{ \sqrt{9 } }\)
\(69 = 15 \cdot 4 + 9 \)
\(70 = 5! - 41 - 9 \)
\(71 = 19 \cdot 4 - 5 \)
\(72 = ( 15 + \sqrt{9} ) \cdot 4 \)
\(73 = 14 + 59 \)
\(74 = 194 - 5 !\)
\(75 = ( 9 - 4 ) \cdot 15 \)
\(76 = 14 \cdot 5 + \sqrt{9 }!\)
\(77 = 5! - ( 19 + 4 ! )\)
\(78 = ( 1 + 5 ) \cdot ( 4 + 9 )\)
\(79 = 94 - 15 \)
\(80 = ( 4 + 5 ) \cdot 9 - 1 \)
\(81 = 95 - 14 \)
\(82 = 91 - 4 - 5 \)
\(83 = 59 \cdot 1 + 4 !\)
\(84 = 5^{\sqrt{9}} - 41 \)
\(85 = ( 14 + \sqrt{9} ) \cdot 5 \)
\(86 = 5 \cdot 9 + 41 \)
\(87 = 4 \cdot 9 + 51 \)
\(88 = 94 - 1 - 5 \)
\(89 = 94 \cdot 1 - 5 \)
\(90 = 91 + 4 - 5 \)
\(91 = 19 \cdot 5 - 4 \)
\(92 = 91 - 4 + 5 \)
\(93 = 94 - 1^{5 }\)
\(94 = 1^{5} \cdot 94 \)
\(95 = 1^{5} + 94 \)
\(96 = ( 15 + 9 ) \cdot 4 \)
\(97 = 5! - 14 - 9 \)
\(98 = 94 - 1 + 5 \)
\(99 = ( 15 - 4 ) \cdot 9 \)
\(100 = 41 + 59 \)