All 100 targets have a solution.
\(1 = 54 - 53 \)
\(2 = \sqrt{53 - 4} - 5 \)
\(3 = \frac{ 35 }{ 5 } - 4 \)
\(4 = \frac{ 54 }{ 3! } - 5 \)
\(5 = \frac{ 35 }{ 5 } - \sqrt{4 }\)
\(6 = \frac{ 45 }{ 5 } - 3 \)
\(7 = 3 + 4 - 5 + 5 \)
\(8 = 53 - 45 \)
\(9 = 34 - 5 \cdot 5 \)
\(10 = 45 - 35 \)
\(11 = \frac{ 35 }{ 5 } + 4 \)
\(12 = 55 - 43 \)
\(13 = \frac{ 54 }{ 3 } - 5 \)
\(14 = \frac{ 35 \cdot \sqrt{4} }{ 5 }\)
\(15 = 35 - 4 \cdot 5 \)
\(16 = 35 - 4! + 5 \)
\(17 = \frac{ 55 - 4 }{ 3 }\)
\(18 = 43 - 5 \cdot 5 \)
\(19 = 54 - 35 \)
\(20 = \frac{ 45 }{ 3 } + 5 \)
\(21 = 55 - 34 \)
\(22 = \frac{ 5! - 54 }{ 3 }\)
\(23 = \sqrt{534 - 5 }\)
\(24 = 34 - 5 - 5 \)
\(25 = 35 - \sqrt{4} \cdot 5 \)
\(26 = 35 - 4 - 5 \)
\(27 = \frac{ 45 \cdot 3 }{ 5 }\)
\(28 = \frac{ 35 \cdot 4 }{ 5 }\)
\(29 = 34 - \sqrt{5 \cdot 5 }\)
\(30 = 45 - 3 \cdot 5 \)
\(31 = \frac{ 35 }{ 5 } + 4 !\)
\(32 = 35 + \sqrt{4} - 5 \)
\(33 = 34 - \frac{ 5 }{ 5 }\)
\(34 = 34 - 5 + 5 \)
\(35 = \frac{ 5 }{ 5 } + 34 \)
\(36 = 35 - 4 + 5 \)
\(37 = 45 - 3 - 5 \)
\(38 = 35 - \sqrt{4} + 5 \)
\(39 = 54 - 3 \cdot 5 \)
\(40 = ( 5 - 3 ) \cdot 4 \cdot 5 \)
\(41 = ( 5 - \sqrt{4} )! + 35 \)
\(42 = 43 - \frac{ 5 }{ 5 }\)
\(43 = 43 - 5 + 5 \)
\(44 = 34 + 5 + 5 \)
\(45 = \sqrt{4} \cdot 5 + 35 \)
\(46 = 54 - 3 - 5 \)
\(47 = 45 - 3 + 5 \)
\(48 = 55 - 3 - 4 \)
\(49 = ( \frac{ 35 }{ 5 } )^{\sqrt{4 }}\)
\(50 = 34 \cdot 5 - 5 !\)
\(51 = 55 - 3! + \sqrt{4 }\)
\(52 = 53 + 4 - 5 \)
\(53 = 43 + 5 + 5 \)
\(54 = 53 - 4 + 5 \)
\(55 = 4 \cdot 5 + 35 \)
\(56 = 54 - 3 + 5 \)
\(57 = 55 + 3! - 4 \)
\(58 = \frac{ 5! }{ 5 } + 34 \)
\(59 = 5 \cdot 5 + 34 \)
\(60 = 3 \cdot 5 + 45 \)
\(61 = 3 \cdot \sqrt{4} + 55 \)
\(62 = 53 + 4 + 5 \)
\(63 = 5! - ( 53 + 4 )\)
\(64 = 35 + 4! + 5 \)
\(65 = 35 \cdot \sqrt{4} - 5 \)
\(66 = \sqrt{\frac{ 3!! }{ 5 }} + 54 \)
\(67 = 3 \cdot 4 + 55 \)
\(68 = 5 \cdot 5 + 43 \)
\(69 = \frac{ 345 }{ 5 }\)
\(70 = ( 3 + 4 ) \cdot ( 5 + 5 )\)
\(71 = 5^{3} - 54 \)
\(72 = 5! - ( 43 + 5 )\)
\(73 = 4 \cdot 5 + 53 \)
\(74 = 4^{3} + 5 + 5 \)
\(75 = \frac{ 45 }{ 3 } \cdot 5 \)
\(76 = 55 - 3 + 4 !\)
\(77 = \sqrt{5 \cdot 5}! - 43 \)
\(78 = 5! - ( 45 - 3 )\)
\(79 = 3! \cdot 4 + 55 \)
\(80 = 35 + 45 \)
\(81 = 5! - ( 34 + 5 )\)
\(82 = 5! - ( 43 - 5 )\)
\(83 = \frac{ 5! }{ 4 } + 53 \)
\(84 = 3! \cdot 5 + 54 \)
\(85 = 4! \cdot 5 - 35 \)
\(86 = \sqrt{5 \cdot 5}! - 34 \)
\(87 = \frac{ 435 }{ 5 }\)
\(88 = ( 5 \cdot 5 - 3 ) \cdot 4 \)
\(89 = 34 + 55 \)
\(90 = ( 5 - 3 ) \cdot 45 \)
\(91 = 5! - ( 34 - 5 )\)
\(92 = 53 \cdot 4 - 5 !\)
\(93 = ( 55 - 4! ) \cdot 3 \)
\(94 = \frac{ 5! }{ 3 } + 54 \)
\(95 = 43 \cdot 5 - 5 !\)
\(96 = ( 53 - 5 ) \cdot \sqrt{4 }\)
\(97 = 4 \cdot 5 \cdot 5 - 3 \)
\(98 = 43 + 55 \)
\(99 = \frac{ 3!! }{ 5 } - 45 \)
\(100 = \frac{ 5^{3} \cdot 4 }{ 5 }\)