99 of 100 targets have a solution.
\(1 = 58 - 57 \)
\(2 = \sqrt{57 - 8} - 5 \)
\(3 = \sqrt{\frac{ 55 + 8 }{ 7 }}\)
\(4 = \frac{ 5 \cdot 5 + 7 }{ 8 }\)
\(5 = \frac{ 75 \cdot 8 }{ 5 ! }\)
\(6 = \frac{ 55 - 7 }{ 8 }\)
\(7 = \frac{ 75 }{ 5 } - 8 \)
\(8 = ( 5 - 5 ) \cdot 7 + 8 \)
\(9 = \frac{ 55 + 8 }{ 7 }\)
\(10 = 85 - 75 \)
\(11 = 5 + 5 - 7 + 8 \)
\(12 = \sqrt{57 - 8} + 5 \)
\(13 = \frac{ 57 + 8 }{ 5 }\)
\(14 = 7 - \frac{ 5 }{ 5 } + 8 \)
\(15 = \sqrt{( 8 - 5 ) \cdot 75 }\)
\(16 = \frac{ 5 }{ 5 } + 7 + 8 \)
\(17 = 75 - 58 \)
\(18 = ( 7 - 5 ) \cdot 5 + 8 \)
\(19 = \frac{ 57 }{ 8 - 5 }\)
\(20 = \frac{ 8 }{ 7 - 5 } \cdot 5 \)
\(21 = \sqrt{( 55 + 8 ) \cdot 7 }\)
\(22 = 5 \cdot 7 - 5 - 8 \)
\(23 = 78 - 55 \)
\(24 = \frac{ 85 }{ 5 } + 7 \)
\(25 = \frac{ 75 }{ 8 - 5 }\)
\(26 = 5 \cdot 5 - 7 + 8 \)
\(27 = \sqrt{5 \cdot 5} \cdot 7 - 8 \)
\(28 = 85 - 57 \)
\(29 = \frac{ 58 }{ 7 - 5 }\)
\(30 = ( 8 - ( 7 - 5 ) ) \cdot 5 \)
\(31 = 7 \cdot 8 - 5 \cdot 5 \)
\(32 = 87 - 55 \)
\(33 = 5^{7 - 5} + 8 \)
\(34 = \frac{ 7! }{ \sqrt{5 \cdot 5}! } - 8 \)
\(35 = 75 - 5 \cdot 8 \)
\(36 = ( 5 + 7 ) \cdot ( 8 - 5 )\)
\(37 = 5! - 75 - 8 \)
\(38 = 5! - 87 + 5 \)
\(39 = \frac{ 5! }{ 5 } + 7 + 8 \)
\(40 = 55 - 7 - 8 \)
\(41 = 5 \cdot 7 + ( 8 - 5 )!\)
\(42 = 57 - \frac{ 5! }{ 8 }\)
\(43 = 85 - \frac{ 7! }{ 5 ! }\)
\(44 = 57 - 5 - 8 \)
\(45 = 5! - ( 7 + 8 ) \cdot 5 \)
\(46 = 58 - 5 - 7 \)
\(47 = 5! - 78 + 5 \)
\(48 = ( 7 - \frac{ 5 }{ 5 } ) \cdot 8 \)
\(49 = 7^{5 + 5 - 8 }\)
\(50 = 85 - 5 \cdot 7 \)
\(51 = 57 - ( 8 - 5 )!\)
\(52 = ( 5 + 7 ) \cdot 5 - 8 \)
\(53 = 78 - 5 \cdot 5 \)
\(54 = 55 + 7 - 8 \)
\(55 = ( 8 - 7 ) \cdot 55 \)
\(56 = 55 - 7 + 8 \)
\(57 = \frac{ 5 }{ 5 } + 7 \cdot 8 \)
\(58 = \sqrt{58^{7 - 5 }}\)
\(59 = 8^{7 - 5} - 5 \)
\(60 = 57 - 5 + 8 \)
\(61 = \sqrt{5 \cdot 5} + 7 \cdot 8 \)
\(62 = 75 - 5 - 8 \)
\(63 = ( 8 - 5 )! + 57 \)
\(64 = ( \frac{ 5 }{ 5 } + 7 ) \cdot 8 \)
\(65 = ( ( 8 - 5 )! + 7 ) \cdot 5 \)
\(66 = 7 \cdot 8 + 5 + 5 \)
\(67 = \sqrt{( 8 - 5 )!! \cdot 5} + 7 \)
\(68 = 78 - 5 - 5 \)
\(69 = 5! - 58 + 7 \)
\(70 = 55 + 7 + 8 \)
\(71 = 5! - 57 + 8 \)
\(72 = 75 + 5 - 8 \)
\(73 = 85 - 5 - 7 \)
\(74 = 5 \cdot 5 + \sqrt{\sqrt{7^{8 }}}\)
\(75 = \sqrt{585 + 7 !}\)
\(76 = 5! - ( \sqrt{\sqrt{7^{8}}} - 5 )\)
\(77 = 78 - \frac{ 5 }{ 5 }\)
\(78 = 75 - 5 + 8 \)
\(79 = \frac{ 5 }{ 5 } + 78 \)
\(80 = \frac{ 7! }{ 55 + 8 }\)
\(81 = ( 8 - 5 )! + 75 \)
\(82 = 87 - \sqrt{5 \cdot 5 }\)
\(83 = 85 + 5 - 7 \)
\(84 = \sqrt{\frac{ ( 8 - 5 )!! }{ 5 }} \cdot 7 \)
\(85 = \sqrt{85^{7 - 5 }}\)
\(86 = 87 - \frac{ 5 }{ 5 }\)
\(87 = 85 - 5 + 7 \)
\(88 = 75 + 5 + 8 \)
\(89 = \sqrt{\frac{ 8! - 7! }{ 5 }} + 5 \)
\(90 = \frac{ 5! }{ 8 } + 75 \)
\(91 = ( 5 + 7 ) \cdot 8 - 5 \)
\(92 = \sqrt{5 \cdot 5} + 87 \)
\(93 = 5 \cdot 7 + 58 \)
\(94 = ?\)
\(95 = 5! - \sqrt{\frac{ 7! }{ 8 } - 5 }\)
\(96 = ( 5 + 8 ) \cdot 7 + 5 \)
\(97 = 5 \cdot 8 + 57 \)
\(98 = 5! - \frac{ 5! }{ 8 } - 7 \)
\(99 = 5! - ( 8 - 5 ) \cdot 7 \)
\(100 = ( 5 + 7 + 8 ) \cdot 5 \)