All 100 targets have a solution.
\(1 = 35 - 34 \)
\(2 = \frac{ 54 }{ 3^{3 } }\)
\(3 = 33 - \frac{ 5! }{ 4 }\)
\(4 = 33 - 4! - 5 \)
\(5 = \frac{ 35 }{ 3 + 4 }\)
\(6 = \frac{ \frac{ 54 }{ 3 } }{ 3 }\)
\(7 = \frac{ 33 - 5 }{ 4 }\)
\(8 = 43 - 35 \)
\(9 = \frac{ 54 }{ 3 + 3 }\)
\(10 = 53 - 43 \)
\(11 = 4^{3} - 53 \)
\(12 = 45 - 33 \)
\(13 = 33 - 4 \cdot 5 \)
\(14 = \frac{ 45 - 3 }{ 3 }\)
\(15 = \frac{ 54 }{ 3 } - 3 \)
\(16 = \frac{ 43 + 5 }{ 3 }\)
\(17 = \frac{ 34 }{ 5 - 3 }\)
\(18 = \frac{ 45 }{ 3 } + 3 \)
\(19 = 53 - 34 \)
\(20 = \frac{ 54 + 3! }{ 3 }\)
\(21 = 54 - 33 \)
\(22 = \frac{ 3^{4} }{ 3 } - 5 \)
\(23 = \sqrt{533 - 4 }\)
\(24 = 33 - 4 - 5 \)
\(25 = 35 - 3! - 4 \)
\(26 = 34 - 3 - 5 \)
\(27 = 54 - 3^{3 }\)
\(28 = 35 - 3 - 4 \)
\(29 = 4^{3} - 35 \)
\(30 = 33 + \sqrt{4} - 5 \)
\(31 = 3 \cdot 3 \cdot 4 - 5 \)
\(32 = 33 + 4 - 5 \)
\(33 = ( 5 - 4 ) \cdot 33 \)
\(34 = 33 - 4 + 5 \)
\(35 = ( 4 - 3 ) \cdot 35 \)
\(36 = 34 - 3 + 5 \)
\(37 = 35 + 3! - 4 \)
\(38 = ( 3 + 4 ) \cdot 5 + 3 \)
\(39 = 45 - 3 - 3 \)
\(40 = 33 + \sqrt{4} + 5 \)
\(41 = 43 + 3 - 5 \)
\(42 = 33 + 4 + 5 \)
\(43 = \sqrt{4} \cdot 5 + 33 \)
\(44 = 45 - \frac{ 3 }{ 3 }\)
\(45 = 43 - 3 + 5 \)
\(46 = 3^{4} - 35 \)
\(47 = 3 \cdot 4 + 35 \)
\(48 = 54 - 3 - 3 \)
\(49 = 3 \cdot 5 + 34 \)
\(50 = ( 3 + 3 + 4 ) \cdot 5 \)
\(51 = 43 + 3 + 5 \)
\(52 = 53 + 3 - 4 \)
\(53 = 4 \cdot 5 + 33 \)
\(54 = 3 \cdot 3 + 45 \)
\(55 = \frac{ 3 }{ 3 } + 54 \)
\(56 = ( 33 - 5 ) \cdot \sqrt{4 }\)
\(57 = 54 - 3 + 3 !\)
\(58 = 3 \cdot 5 + 43 \)
\(59 = \frac{ 354 }{ 3 ! }\)
\(60 = 53 + 3 + 4 \)
\(61 = 33 \cdot \sqrt{4} - 5 \)
\(62 = 33 + 4! + 5 \)
\(63 = 3 \cdot 3 + 54 \)
\(64 = 3! \cdot 5 + 34 \)
\(65 = 3 \cdot 4 + 53 \)
\(66 = 4^{3} - 3 + 5 \)
\(67 = 35 \cdot \sqrt{4} - 3 \)
\(68 = ( 5 - 3 ) \cdot 34 \)
\(69 = 34 + 35 \)
\(70 = ( 3! - 4 ) \cdot 35 \)
\(71 = 33 \cdot \sqrt{4} + 5 \)
\(72 = 3^{3} + 45 \)
\(73 = 35 \cdot \sqrt{4} + 3 \)
\(74 = \frac{ 5! }{ 3 } + 34 \)
\(75 = ( 3 \cdot 4 + 3 ) \cdot 5 \)
\(76 = ( 33 + 5 ) \cdot \sqrt{4 }\)
\(77 = 3! \cdot 4 + 53 \)
\(78 = 33 + 45 \)
\(79 = 3^{4} + 3 - 5 \)
\(80 = 5! - ( 43 - 3 )\)
\(81 = 3^{3} + 54 \)
\(82 = 5^{3} - 43 \)
\(83 = 5! - ( 33 + 4 )\)
\(84 = 34 \cdot 3! - 5 !\)
\(85 = \frac{ 3^{5} }{ 3 } + 4 \)
\(86 = ( 5 - 3 ) \cdot 43 \)
\(87 = 33 + 54 \)
\(88 = ( 3^{3} - 5 ) \cdot 4 \)
\(89 = \frac{ 534 }{ 3 ! }\)
\(90 = \frac{ 45 }{ 3 } \cdot 3 !\)
\(91 = 5^{3} - 34 \)
\(92 = 5! - ( 34 - 3 ! )\)
\(93 = ( 35 - 4 ) \cdot 3 \)
\(94 = ( 53 - 3! ) \cdot \sqrt{4 }\)
\(95 = ( 3 + 3 )! - 5^{4 }\)
\(96 = 43 + 53 \)
\(97 = 34 \cdot 3 - 5 \)
\(98 = 5^{3} - 3 - 4 !\)
\(99 = 4^{3} + 35 \)
\(100 = ( 53 - 3 ) \cdot \sqrt{4 }\)