98 of 100 targets have a solution.
\(1 = 18^{5 - 5 }\)
\(2 = 15 - 5 - 8 \)
\(3 = 8 - 1^{5} \cdot 5 \)
\(4 = \sqrt{\frac{ 85 }{ 5 } - 1 }\)
\(5 = 8 - \frac{ 15 }{ 5 }\)
\(6 = \frac{ 5! }{ 5 } - 18 \)
\(7 = 58 - 51 \)
\(8 = 18 - 5 - 5 \)
\(9 = 15 - ( 8 - 5 )!\)
\(10 = \sqrt{15 + 85 }\)
\(11 = \frac{ 15 }{ 5 } + 8 \)
\(12 = 15 + 5 - 8 \)
\(13 = 18 - \sqrt{5 \cdot 5 }\)
\(14 = ( \frac{ 15 }{ 5 } )! + 8 \)
\(15 = ( 8 - 1 \cdot 5 ) \cdot 5 \)
\(16 = \frac{ 85 }{ 5 } - 1 \)
\(17 = 18 - \frac{ 5 }{ 5 }\)
\(18 = 15 - 5 + 8 \)
\(19 = \frac{ 5 }{ 5 } + 18 \)
\(20 = ( \sqrt{81} - 5 ) \cdot 5 \)
\(21 = ( 8 - 5 )! + 15 \)
\(22 = ( 1 + 5 ) \cdot 5 - 8 \)
\(23 = \sqrt{5 \cdot 5} + 18 \)
\(24 = \sqrt{581 - 5 }\)
\(25 = 5 \cdot 8 - 15 \)
\(26 = 81 - 55 \)
\(27 = ( 5 - 1 ) \cdot 8 - 5 \)
\(28 = 15 + 5 + 8 \)
\(29 = \frac{ 58 }{ \sqrt{5 - 1 } }\)
\(30 = \frac{ 5! }{ 8 } + 15 \)
\(31 = \frac{ 5! }{ 5 } - 1 + 8 \)
\(32 = ( 5 - 1^{5} ) \cdot 8 \)
\(33 = 1 \cdot 5 \cdot 5 + 8 \)
\(34 = 85 - 51 \)
\(35 = ( 15 - 8 ) \cdot 5 \)
\(36 = 51 - \frac{ 5! }{ 8 }\)
\(37 = \frac{ 185 }{ 5 }\)
\(38 = 158 - 5 !\)
\(39 = 5 \cdot 8 - 1^{5 }\)
\(40 = \sqrt{81} \cdot 5 - 5 \)
\(41 = 1^{5} + 5 \cdot 8 \)
\(42 = \frac{ 5! }{ 5 } + 18 \)
\(43 = 58 - 15 \)
\(44 = 5! - 81 + 5 \)
\(45 = ( 8 - 5 ) \cdot 15 \)
\(46 = 55 - \sqrt{81 }\)
\(47 = 55 \cdot 1 - 8 \)
\(48 = 51 + 5 - 8 \)
\(49 = 55 - \sqrt{\sqrt{81 }}!\)
\(50 = \sqrt{81} \cdot 5 + 5 \)
\(51 = \frac{ 8! }{ ( 1 + 5 )! } - 5 \)
\(52 = 58 - 1 - 5 \)
\(53 = 58 \cdot 1 - 5 \)
\(54 = 51 - 5 + 8 \)
\(55 = 5 \cdot 8 + 15 \)
\(56 = 1^{8} + 55 \)
\(57 = 58 - 1^{5 }\)
\(58 = 1^{5} \cdot 58 \)
\(59 = 1^{5} + 58 \)
\(60 = \sqrt{5 - 1} + 58 \)
\(61 = 5! - 51 - 8 \)
\(62 = 55 - 1 + 8 \)
\(63 = 55 \cdot 1 + 8 \)
\(64 = 55 + \sqrt{81 }\)
\(65 = 185 - 5 !\)
\(66 = \frac{ 5! }{ 8 } + 51 \)
\(67 = 15 \cdot 5 - 8 \)
\(68 = \frac{ 5! }{ \sqrt{5 - 1} } + 8 \)
\(69 = \sqrt{1 + 5!} + 58 \)
\(70 = 85 - 15 \)
\(71 = 81 - 5 - 5 \)
\(72 = ( 5 - 1 + 5 ) \cdot 8 \)
\(73 = 15 + 58 \)
\(74 = 85 - \sqrt{1 + 5 !}\)
\(75 = \sqrt{\sqrt{81}} \cdot 5 \cdot 5 \)
\(76 = 81 - \sqrt{5 \cdot 5 }\)
\(77 = 5! - 51 + 8 \)
\(78 = ( 1 + 5 ) \cdot ( 5 + 8 )\)
\(79 = 85 - 1 - 5 \)
\(80 = ( 15 - 5 ) \cdot 8 \)
\(81 = 81 - 5 + 5 \)
\(82 = \frac{ 5 }{ 5 } + 81 \)
\(83 = 15 \cdot 5 + 8 \)
\(84 = 85 - 1^{5 }\)
\(85 = 18 \cdot 5 - 5 \)
\(86 = 1^{5} + 85 \)
\(87 = \sqrt{5 - 1} + 85 \)
\(88 = ( 1 + 5 + 5 ) \cdot 8 \)
\(89 = 85 - 1 + 5 \)
\(90 = 85 \cdot 1 + 5 \)
\(91 = 5 \cdot 8 + 51 \)
\(92 = ?\)
\(93 = \sqrt{1 + 5!} \cdot 8 + 5 \)
\(94 = 5! - ( \sqrt{\sqrt{5^{8}}} + 1 )\)
\(95 = 18 \cdot 5 + 5 \)
\(96 = \sqrt{1 + 5!} + 85 \)
\(97 = 5! - 15 - 8 \)
\(98 = ?\)
\(99 = \sqrt{\sqrt{( 5 + 5 )^{8}}} - 1 \)
\(100 = 15 + 85 \)