All 100 targets have a solution.
\(1 = \frac{ 12 - 4 }{ 8 }\)
\(2 = \frac{ 28 }{ 14 }\)
\(3 = \frac{ 12 }{ 8 - 4 }\)
\(4 = \frac{ 48 }{ 12 }\)
\(5 = 8 - \frac{ 12 }{ 4 }\)
\(6 = 24 - 18 \)
\(7 = \frac{ 84 }{ 12 }\)
\(8 = 12 + 4 - 8 \)
\(9 = \frac{ 18 \cdot 2 }{ 4 }\)
\(10 = 12 - \frac{ 8 }{ 4 }\)
\(11 = \frac{ 12 }{ 4 } + 8 \)
\(12 = ( 14 - 8 ) \cdot 2 \)
\(13 = 41 - 28 \)
\(14 = 28 - 14 \)
\(15 = 24 - \sqrt{81 }\)
\(16 = 12 - 4 + 8 \)
\(17 = 21 + 4 - 8 \)
\(18 = \frac{ 8 }{ 2 } + 14 \)
\(19 = 21 - \frac{ 8 }{ 4 }\)
\(20 = 4 \cdot 8 - 12 \)
\(21 = 24 - \sqrt{\sqrt{81 }}\)
\(22 = 12 + \sqrt{4} + 8 \)
\(23 = \frac{ 8 }{ 4 } + 21 \)
\(24 = 42 - 18 \)
\(25 = 21 - 4 + 8 \)
\(26 = 2 \cdot 4 + 18 \)
\(27 = 48 - 21 \)
\(28 = ( 18 - 4 ) \cdot 2 \)
\(29 = \sqrt{842 - 1 }\)
\(30 = 2 \cdot 8 + 14 \)
\(31 = \sqrt{841} + 2 \)
\(32 = \frac{ 128 }{ 4 }\)
\(33 = 24 + \sqrt{81 }\)
\(34 = 2^{4} + 18 \)
\(35 = 41 + 2 - 8 \)
\(36 = 48 - 12 \)
\(37 = 41 - \frac{ 8 }{ 2 }\)
\(38 = ( \frac{ 8 }{ 2 } )! + 14 \)
\(39 = 81 - 42 \)
\(40 = 12 \cdot 4 - 8 \)
\(41 = 82 - 41 \)
\(42 = 14 + 28 \)
\(43 = 1^{8} + 42 \)
\(44 = 4 \cdot 8 + 12 \)
\(45 = \frac{ 8 }{ 2 } + 41 \)
\(46 = 48 \cdot 1 - 2 \)
\(47 = 41 - 2 + 8 \)
\(48 = ( 8 - 4 ) \cdot 12 \)
\(49 = 42 - 1 + 8 \)
\(50 = 8^{2} - 14 \)
\(51 = 42 + \sqrt{81 }\)
\(52 = ( 21 - 8 ) \cdot 4 \)
\(53 = 4 \cdot 8 + 21 \)
\(54 = ( 28 - 1 ) \cdot \sqrt{4 }\)
\(55 = 28 \cdot \sqrt{4} - 1 \)
\(56 = 12 \cdot 4 + 8 \)
\(57 = 81 - 24 \)
\(58 = \sqrt{841} \cdot 2 \)
\(59 = 81 + 2 - 4 !\)
\(60 = 12 + 48 \)
\(61 = 8^{2} + 1 - 4 \)
\(62 = ( 4 \cdot 8 - 1 ) \cdot 2 \)
\(63 = 84 - 21 \)
\(64 = \frac{ 128 }{ \sqrt{4 } }\)
\(65 = 81 - 2^{4 }\)
\(66 = ( 41 - 8 ) \cdot 2 \)
\(67 = 8^{2} - 1 + 4 \)
\(68 = 82 - 14 \)
\(69 = 21 + 48 \)
\(70 = 18 \cdot 4 - 2 \)
\(71 = \sqrt{( \frac{ 28 }{ 4 } )! + 1 }\)
\(72 = 84 - 12 \)
\(73 = 81 - 2 \cdot 4 \)
\(74 = \frac{ 148 }{ 2 }\)
\(75 = 81 - 2 - 4 \)
\(76 = 21 \cdot 4 - 8 \)
\(77 = 82 - 1 - 4 \)
\(78 = 8^{2} + 14 \)
\(79 = 81 + 2 - 4 \)
\(80 = ( 12 + 8 ) \cdot 4 \)
\(81 = \frac{ 18^{2} }{ 4 }\)
\(82 = 1^{4} \cdot 82 \)
\(83 = 81 - 2 + 4 \)
\(84 = ( 8 - 2 ) \cdot 14 \)
\(85 = 82 - 1 + 4 \)
\(86 = 82 \cdot 1 + 4 \)
\(87 = 81 + 2 + 4 \)
\(88 = ( 4 - 1 )! + 82 \)
\(89 = 2 \cdot 4 + 81 \)
\(90 = 41 \cdot 2 + 8 \)
\(91 = \frac{ 182 }{ \sqrt{4 } }\)
\(92 = \frac{ 184 }{ 2 }\)
\(93 = \frac{ 4! }{ 2 } + 81 \)
\(94 = ( 48 - 1 ) \cdot 2 \)
\(95 = 48 \cdot 2 - 1 \)
\(96 = 12 + 84 \)
\(97 = 48 \cdot 2 + 1 \)
\(98 = ( 41 + 8 ) \cdot 2 \)
\(99 = ( 2 + 8 )^{\sqrt{4}} - 1 \)
\(100 = 12 \cdot 8 + 4 \)