99 of 100 targets have a solution.
\(1 = 42 - 41 \)
\(2 = \frac{ 12 - 4 }{ 4 }\)
\(3 = \frac{ 42 }{ 14 }\)
\(4 = 12 - 4 - 4 \)
\(5 = \frac{ 14 - 4 }{ 2 }\)
\(6 = \frac{ \sqrt{144} }{ 2 }\)
\(7 = \frac{ 12 }{ 4 } + 4 \)
\(8 = 14 - 2 - 4 \)
\(9 = \frac{ 14 + 4 }{ 2 }\)
\(10 = 24 - 14 \)
\(11 = 12 - \frac{ 4 }{ 4 }\)
\(12 = \frac{ 12 }{ 4 } \cdot 4 \)
\(13 = \frac{ 4 }{ 4 } + 12 \)
\(14 = \sqrt{144} + 2 \)
\(15 = \frac{ 2 }{ \sqrt{4} } + 14 \)
\(16 = 14 - 2 + 4 \)
\(17 = 41 - 24 \)
\(18 = 12 + \sqrt{4} + 4 \)
\(19 = \sqrt{441} - 2 \)
\(20 = 12 + 4 + 4 \)
\(21 = \sqrt{442 - 1 }\)
\(22 = 2 \cdot 4 + 14 \)
\(23 = 44 - 21 \)
\(24 = \sqrt{144} \cdot 2 \)
\(25 = 1^{4} + 24 \)
\(26 = 14 \cdot 2 - \sqrt{4 }\)
\(27 = 24 - 1 + 4 \)
\(28 = 42 - 14 \)
\(29 = 21 + 4 + 4 \)
\(30 = 2^{4} + 14 \)
\(31 = \frac{ 124 }{ 4 }\)
\(32 = 44 - 12 \)
\(33 = 41 - 2 \cdot 4 \)
\(34 = 2 \cdot 4! - 14 \)
\(35 = 41 - 2 - 4 \)
\(36 = ( 14 + 4 ) \cdot 2 \)
\(37 = 4 \cdot 4 + 21 \)
\(38 = 14 + 24 \)
\(39 = 41 + 2 - 4 \)
\(40 = ( 12 - \sqrt{4} ) \cdot 4 \)
\(41 = 42 - 1^{4 }\)
\(42 = \sqrt{441} \cdot 2 \)
\(43 = 41 - 2 + 4 \)
\(44 = 12 \cdot 4 - 4 \)
\(45 = 42 - 1 + 4 \)
\(46 = 42 \cdot 1 + 4 \)
\(47 = 41 + 2 + 4 \)
\(48 = ( 14 - 2 ) \cdot 4 \)
\(49 = \frac{ 14^{2} }{ 4 }\)
\(50 = 12 \cdot 4 + \sqrt{4 }\)
\(51 = 2 \cdot 4! - 1 + 4 \)
\(52 = 12 \cdot 4 + 4 \)
\(53 = \frac{ 4! }{ 2 } + 41 \)
\(54 = 14 \cdot 4 - 2 \)
\(55 = ( 4 + 4! ) \cdot 2 - 1 \)
\(56 = 12 + 44 \)
\(57 = 2^{4} + 41 \)
\(58 = 14 \cdot 4 + 2 \)
\(59 = \frac{ ( 1 + 4 )! - 2 }{ \sqrt{4 } }\)
\(60 = 21 \cdot 4 - 4 !\)
\(61 = \frac{ ( 1 + 4 )! + 2 }{ \sqrt{4 } }\)
\(62 = \frac{ 124 }{ \sqrt{4 } }\)
\(63 = 41 - 2 + 4 !\)
\(64 = 4^{\frac{ 12 }{ 4 }}\)
\(65 = 21 + 44 \)
\(66 = 42 \cdot 1 + 4 !\)
\(67 = 41 + 2 + 4 !\)
\(68 = ( 21 - 4 ) \cdot 4 \)
\(69 = 21 + 4! + 4 !\)
\(70 = ( 4 - 1 ) \cdot 4! - 2 \)
\(71 = \frac{ 142 }{ \sqrt{4 } }\)
\(72 = \frac{ 144 }{ 2 }\)
\(73 = 2 \cdot 4! + 1 + 4 !\)
\(74 = ( 41 - 4 ) \cdot 2 \)
\(75 = 4 \cdot 4! - 21 \)
\(76 = ( 14 + 4! ) \cdot 2 \)
\(77 = ( 1 + 2 )^{4} - 4 \)
\(78 = 41 \cdot 2 - 4 \)
\(79 = ( 4 - 1 )^{4} - 2 \)
\(80 = 21 \cdot 4 - 4 \)
\(81 = ( \frac{ 12 }{ 4 } )^{4 }\)
\(82 = \frac{ 41 \cdot 4 }{ 2 }\)
\(83 = 41 + 42 \)
\(84 = ( 2 + 4 ) \cdot 14 \)
\(85 = 42 \cdot \sqrt{4} + 1 \)
\(86 = 41 \cdot 2 + 4 \)
\(87 = 44 \cdot 2 - 1 \)
\(88 = 21 \cdot 4 + 4 \)
\(89 = 44 \cdot 2 + 1 \)
\(90 = ( 41 + 4 ) \cdot 2 \)
\(91 = ?\)
\(92 = ( 24 - 1 ) \cdot 4 \)
\(93 = 4 \cdot 4! - 1 - 2 \)
\(94 = ( 4! - 1 ) \cdot 4 + 2 \)
\(95 = 24 \cdot 4 - 1 \)
\(96 = ( 4 + 4 ) \cdot 12 \)
\(97 = 24 \cdot 4 + 1 \)
\(98 = \frac{ 14^{2} }{ \sqrt{4 } }\)
\(99 = 4 \cdot 4! + 1 + 2 \)
\(100 = 124 - 4 !\)