92 of 100 targets have a solution.
\(1 = ( 1^{15} )^{8 }\)
\(2 = 5! - 118 \)
\(3 = 18 - 15 \)
\(4 = 5 - 1^{18 }\)
\(5 = 1^{18} \cdot 5 \)
\(6 = ( 18 - 15 )!\)
\(7 = 8 - 1^{15 }\)
\(8 = 11 + 5 - 8 \)
\(9 = 1^{15} + 8 \)
\(10 = 1^{5} + \sqrt{81 }\)
\(11 = ( 11 - 8 )! + 5 \)
\(12 = 18 - 1 - 5 \)
\(13 = 18 \cdot 1 - 5 \)
\(14 = 11 - 5 + 8 \)
\(15 = ( 11 - 8 ) \cdot 5 \)
\(16 = 1^{8} + 15 \)
\(17 = 18 - 1^{5 }\)
\(18 = 1^{5} \cdot 18 \)
\(19 = 1^{5} + 18 \)
\(20 = \sqrt{5 - 1} + 18 \)
\(21 = 15 + \sqrt{\sqrt{81 }}!\)
\(22 = 15 - 1 + 8 \)
\(23 = 15 \cdot 1 + 8 \)
\(24 = 15 + \sqrt{81 }\)
\(25 = 5^{1^{8} + 1 }\)
\(26 = \frac{ 5! }{ 8 } + 11 \)
\(27 = ( 5 - 1 )! + \sqrt{\sqrt{81 }}\)
\(28 = ( 5 - 1 ) \cdot ( 8 - 1 )\)
\(29 = 5 \cdot 8 - 11 \)
\(30 = 81 - 51 \)
\(31 = ( 5 - 1 ) \cdot 8 - 1 \)
\(32 = \sqrt{11 + 5} \cdot 8 \)
\(33 = 15 + 18 \)
\(34 = ( 8 - 1 ) \cdot 5 - 1 \)
\(35 = ( 8 - 1 \cdot 1 ) \cdot 5 \)
\(36 = \sqrt{5 - 1} \cdot 18 \)
\(37 = \sqrt{\sqrt{( 1 + 5 )^{8}}} + 1 \)
\(38 = 5! - ( 81 + 1 )\)
\(39 = 5! - 81 \cdot 1 \)
\(40 = \frac{ 5! }{ 11 - 8 }\)
\(41 = 1 \cdot 5 \cdot 8 + 1 \)
\(42 = 51 - \sqrt{81 }\)
\(43 = 51 \cdot 1 - 8 \)
\(44 = 51 + 1 - 8 \)
\(45 = 15 \cdot \sqrt{\sqrt{81 }}\)
\(46 = \sqrt{81} \cdot 5 + 1 \)
\(47 = 58 - 11 \)
\(48 = ( 11 - 5 ) \cdot 8 \)
\(49 = ( 1 + 5 ) \cdot 8 + 1 \)
\(50 = 51 - 1^{8 }\)
\(51 = 5 \cdot 8 + 11 \)
\(52 = 1^{8} + 51 \)
\(53 = ?\)
\(54 = 51 + \sqrt{\sqrt{81 }}\)
\(55 = \sqrt{\sqrt{\sqrt{( 11 \cdot 5 )^{8 }}}}\)
\(56 = 58 - 1 - 1 \)
\(57 = ( 58 - 1 ) \cdot 1 \)
\(58 = 51 - 1 + 8 \)
\(59 = 51 \cdot 1 + 8 \)
\(60 = 51 + \sqrt{81 }\)
\(61 = 181 - 5 !\)
\(62 = ?\)
\(63 = 11 \cdot 5 + 8 \)
\(64 = 8^{1^{5} + 1 }\)
\(65 = 8^{\sqrt{5 - 1}} + 1 \)
\(66 = 81 - 15 \)
\(67 = ?\)
\(68 = \frac{ 5! }{ 1 + 1 } + 8 \)
\(69 = 11 + 58 \)
\(70 = 81 - \sqrt{1 + 5 !}\)
\(71 = \sqrt{( 15 - 8 )! + 1 }\)
\(72 = ( 5 - 1 ) \cdot 18 \)
\(73 = ?\)
\(74 = 85 - 11 \)
\(75 = 81 - 1 - 5 \)
\(76 = 81 \cdot 1 - 5 \)
\(77 = 81 + 1 - 5 \)
\(78 = ?\)
\(79 = 81 - \sqrt{5 - 1 }\)
\(80 = 81 - 1^{5 }\)
\(81 = 1^{5} \cdot 81 \)
\(82 = 1^{5} + 81 \)
\(83 = 11 \cdot 8 - 5 \)
\(84 = ( 85 - 1 ) \cdot 1 \)
\(85 = ( 18 - 1 ) \cdot 5 \)
\(86 = 81 \cdot 1 + 5 \)
\(87 = 81 + 1 + 5 \)
\(88 = \sqrt{1 \cdot 1 + 5!} \cdot 8 \)
\(89 = 18 \cdot 5 - 1 \)
\(90 = 18 \cdot 1 \cdot 5 \)
\(91 = 18 \cdot 5 + 1 \)
\(92 = \sqrt{1 + 5!} + 81 \)
\(93 = 11 \cdot 8 + 5 \)
\(94 = ?\)
\(95 = ( 11 + 8 ) \cdot 5 \)
\(96 = 11 + 85 \)
\(97 = ?\)
\(98 = ?\)
\(99 = \sqrt{( 1 + 5! ) \cdot 81 }\)
\(100 = \sqrt{\sqrt{( ( 1 + 1 ) \cdot 5 )^{8 }}}\)