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