All 100 targets have a solution.
\(1 = ( 5 - 4 )^{23 }\)
\(2 = 34 - 2^{5 }\)
\(3 = \sqrt{34 - 25 }\)
\(4 = 5 - ( 4! - 23 )\)
\(5 = \frac{ 45 }{ 3^{2 } }\)
\(6 = \frac{ 54 }{ 3^{2 } }\)
\(7 = 42 - 35 \)
\(8 = \frac{ 5! }{ 24 } + 3 \)
\(9 = 34 - 25 \)
\(10 = \frac{ 52 }{ 4 } - 3 \)
\(11 = 35 - 24 \)
\(12 = \frac{ 24 }{ 5 - 3 }\)
\(13 = 45 - 32 \)
\(14 = 23 - 4 - 5 \)
\(15 = \frac{ 5! }{ \frac{ 24 }{ 3 } }\)
\(16 = 24 - 3 - 5 \)
\(17 = \frac{ 45 }{ 3 } + 2 \)
\(18 = 43 - 25 \)
\(19 = 35 - 2^{4 }\)
\(20 = \frac{ 54 }{ 3 } + 2 \)
\(21 = \frac{ 42 }{ 5 - 3 }\)
\(22 = 45 - 23 \)
\(23 = \sqrt{324} + 5 \)
\(24 = 23 - 4 + 5 \)
\(25 = ( 4 - 3 ) \cdot 25 \)
\(26 = 24 - 3 + 5 \)
\(27 = 34 - 2 - 5 \)
\(28 = 5! - 23 \cdot 4 \)
\(29 = 53 - 24 \)
\(30 = \frac{ 45 \cdot 2 }{ 3 }\)
\(31 = 54 - 23 \)
\(32 = 23 + 4 + 5 \)
\(33 = 32 - 4 + 5 \)
\(34 = 42 - 3 - 5 \)
\(35 = 24 + 3! + 5 \)
\(36 = 43 - 2 - 5 \)
\(37 = 3 \cdot 4 + 25 \)
\(38 = 43 - \sqrt{25 }\)
\(39 = \sqrt{25} + 34 \)
\(40 = \frac{ 24 }{ 3 } \cdot 5 \)
\(41 = 32 + 4 + 5 \)
\(42 = 23 + 4! - 5 \)
\(43 = 4 \cdot 5 + 23 \)
\(44 = 2 \cdot 5 + 34 \)
\(45 = ( 3 - 2 ) \cdot 45 \)
\(46 = 43 - 2 + 5 \)
\(47 = 53 - 2 - 4 \)
\(48 = \sqrt{25} + 43 \)
\(49 = 54 - 2 - 3 \)
\(50 = 42 + 3 + 5 \)
\(51 = 2^{4} + 35 \)
\(52 = 4 \cdot 5 + 32 \)
\(53 = 2 \cdot 5 + 43 \)
\(54 = 3^{2} + 45 \)
\(55 = 53 - 2 + 4 \)
\(56 = 3^{4} - 25 \)
\(57 = ( 24 - 5 ) \cdot 3 \)
\(58 = ( 34 - 5 ) \cdot 2 \)
\(59 = 24 + 35 \)
\(60 = 2 \cdot 3 + 54 \)
\(61 = 2 \cdot 4 + 53 \)
\(62 = ( 35 - 4 ) \cdot 2 \)
\(63 = ( 25 - 4 ) \cdot 3 \)
\(64 = 3 \cdot 4 + 52 \)
\(65 = \frac{ 4! }{ 2 } + 53 \)
\(66 = 2^{5} + 34 \)
\(67 = 24 \cdot 3 - 5 \)
\(68 = 23 + 45 \)
\(69 = 2^{4} + 53 \)
\(70 = \frac{ 35 \cdot 4 }{ 2 }\)
\(71 = 25 \cdot 3 - 4 \)
\(72 = ( 23 - 5 ) \cdot 4 \)
\(73 = 34 \cdot 2 + 5 \)
\(74 = 35 \cdot 2 + 4 \)
\(75 = 2^{5} + 43 \)
\(76 = ( 43 - 5 ) \cdot 2 \)
\(77 = 23 + 54 \)
\(78 = ( 34 + 5 ) \cdot 2 \)
\(79 = 25 \cdot 3 + 4 \)
\(80 = \frac{ 32 }{ \sqrt{4} } \cdot 5 \)
\(81 = 43 \cdot 2 - 5 \)
\(82 = \frac{ 5! }{ 3 } + 42 \)
\(83 = 5^{3} - 42 \)
\(84 = ( 5 - 3 ) \cdot 42 \)
\(85 = \frac{ 34 }{ 2 } \cdot 5 \)
\(86 = 32 + 54 \)
\(87 = 23 \cdot 4 - 5 \)
\(88 = \frac{ 352 }{ 4 }\)
\(89 = 4^{3} + 25 \)
\(90 = \sqrt{324} \cdot 5 \)
\(91 = 43 \cdot 2 + 5 \)
\(92 = 5! - ( 32 - 4 )\)
\(93 = 45 \cdot 2 + 3 \)
\(94 = 25 \cdot 4 - 3 !\)
\(95 = 42 + 53 \)
\(96 = ( 43 + 5 ) \cdot 2 \)
\(97 = 23 \cdot 4 + 5 \)
\(98 = ( 53 - 4 ) \cdot 2 \)
\(99 = 5! - ( 24 - 3 )\)
\(100 = ( 2 + 3 ) \cdot 4 \cdot 5 \)