3 4 5 7

All 100 targets have a solution.

\(1 = 5 \cdot 7 - 34 \)
\(2 = \frac{ 54 }{ 3! } - 7 \)
\(3 = \frac{ 35 }{ 7 } - \sqrt{4 }\)
\(4 = 35 - 4! - 7 \)
\(5 = 37 - \sqrt{4}^{5 }\)
\(6 = 53 - 47 \)
\(7 = \frac{ 35 - 7 }{ 4 }\)
\(8 = 45 - 37 \)
\(9 = \frac{ 35 }{ 7 } + 4 \)
\(10 = \sqrt{43 + 57 }\)
\(11 = \frac{ 54 }{ 3 } - 7 \)
\(12 = 47 - 35 \)
\(13 = \sqrt{54 \cdot 3 + 7 }\)
\(14 = 57 - 43 \)
\(15 = \frac{ 53 + 7 }{ 4 }\)
\(16 = \frac{ 37 - 5 }{ \sqrt{4 } }\)
\(17 = 54 - 37 \)
\(18 = \frac{ 75 - 3 }{ 4 }\)
\(19 = 73 - 54 \)
\(20 = \frac{ 35 \cdot 4 }{ 7 }\)
\(21 = 74 - 53 \)
\(22 = 34 - 5 - 7 \)
\(23 = 57 - 34 \)
\(24 = 35 - 4 - 7 \)
\(25 = 53 - 4 \cdot 7 \)
\(26 = 35 - \sqrt{4} - 7 \)
\(27 = \sqrt{734 - 5 }\)
\(28 = 73 - 45 \)
\(29 = \frac{ 75 }{ 3 } + 4 \)
\(30 = 35 + \sqrt{4} - 7 \)
\(31 = 43 - 5 - 7 \)
\(32 = 75 - 43 \)
\(33 = 54 - 3 \cdot 7 \)
\(34 = 754 - 3 !!\)
\(35 = 45 - 3 - 7 \)
\(36 = 34 - 5 + 7 \)
\(37 = ( 5 - 4 ) \cdot 37 \)
\(38 = 35 - 4 + 7 \)
\(39 = 74 - 35 \)
\(40 = 35 - \sqrt{4} + 7 \)
\(41 = 75 - 34 \)
\(42 = 53 - 4 - 7 \)
\(43 = \sqrt{43^{7 - 5 }}\)
\(44 = 54 - 3 - 7 \)
\(45 = 43 - 5 + 7 \)
\(46 = 34 + 5 + 7 \)
\(47 = \sqrt{4} \cdot 5 + 37 \)
\(48 = 47 + 3! - 5 \)
\(49 = 45 - 3 + 7 \)
\(50 = 53 + 4 - 7 \)
\(51 = 5^{3} - 74 \)
\(52 = 35 + 4! - 7 \)
\(53 = 73 - 4 \cdot 5 \)
\(54 = ( 7 - 3! ) \cdot 54 \)
\(55 = 43 + 5 + 7 \)
\(56 = 53 - 4 + 7 \)
\(57 = 4 \cdot 5 + 37 \)
\(58 = 54 - 3 + 7 \)
\(59 = 74 - 3 \cdot 5 \)
\(60 = \sqrt{75 \cdot 3} \cdot 4 \)
\(61 = 57 + 3! - \sqrt{4 }\)
\(62 = 3 \cdot 5 + 47 \)
\(63 = 4 \cdot 7 + 35 \)
\(64 = 53 + 4 + 7 \)
\(65 = ( 37 - 4! ) \cdot 5 \)
\(66 = 3 \cdot 7 + 45 \)
\(67 = \frac{ 5! }{ 4 } + 37 \)
\(68 = ( 7 - 5 ) \cdot 34 \)
\(69 = 5 \cdot 7 + 34 \)
\(70 = 5! - 43 - 7 \)
\(71 = 5! - ( 73 - 4 ! )\)
\(72 = 73 + 4 - 5 \)
\(73 = ( 5 - 4 ) \cdot 73 \)
\(74 = 73 - 4 + 5 \)
\(75 = 3 \cdot 7 + 54 \)
\(76 = \frac{ 57 }{ 3 } \cdot 4 \)
\(77 = ( 35 - 4! ) \cdot 7 \)
\(78 = 5 \cdot 7 + 43 \)
\(79 = 5! - 34 - 7 \)
\(80 = 73 + \sqrt{4} + 5 \)
\(81 = 4 \cdot 7 + 53 \)
\(82 = 35 + 47 \)
\(83 = 4! \cdot 5 - 37 \)
\(84 = ( 35 + 7 ) \cdot \sqrt{4 }\)
\(85 = 74 + 3! + 5 \)
\(86 = ( 7 - 5 ) \cdot 43 \)
\(87 = 3 \cdot 4 + 75 \)
\(88 = ( 3 \cdot 5 + 7 ) \cdot 4 \)
\(89 = 3 \cdot 5 + 74 \)
\(90 = \sqrt{7 - 3} \cdot 45 \)
\(91 = 34 + 57 \)
\(92 = ( 53 - 7 ) \cdot \sqrt{4 }\)
\(93 = 4 \cdot 5 + 73 \)
\(94 = ( 5 - 3 ) \cdot 47 \)
\(95 = ( 3 \cdot 4 + 7 ) \cdot 5 \)
\(96 = 3! \cdot 7 + 54 \)
\(97 = 5^{3} - 4 \cdot 7 \)
\(98 = 5^{\sqrt{4}} + 73 \)
\(99 = 53 \cdot \sqrt{4} - 7 \)
\(100 = 43 + 57 \)