98 of 100 targets have a solution.
\(1 = 57^{8 - 8 }\)
\(2 = 87 - 85 \)
\(3 = 8 - ( 8 - 7 ) \cdot 5 \)
\(4 = \sqrt{88 - 7} - 5 \)
\(5 = 8 - \frac{ 7 + 8 }{ 5 }\)
\(6 = \frac{ 78 }{ 5 + 8 }\)
\(7 = 85 - 78 \)
\(8 = ( 8 - 7 )^{5} \cdot 8 \)
\(9 = \sqrt{78 - 5 + 8 }\)
\(10 = \sqrt{85 + 7 + 8 }\)
\(11 = 75 - 8 \cdot 8 \)
\(12 = \frac{ 8 }{ 7 - 5 } + 8 \)
\(13 = 88 - 75 \)
\(14 = \frac{ 78 - 8 }{ 5 }\)
\(15 = \sqrt{57 - 8} + 8 \)
\(16 = 7 \cdot 8 - 5 \cdot 8 \)
\(17 = ( 8 - 5 ) \cdot 8 - 7 \)
\(18 = 7 - 5 + 8 + 8 \)
\(19 = \frac{ 87 + 8 }{ 5 }\)
\(20 = 78 - 58 \)
\(21 = ( 8 - 5 )! + 7 + 8 \)
\(22 = \frac{ 7 \cdot 8 + 5! }{ 8 }\)
\(23 = \frac{ 5! + 8 }{ 8 } + 7 \)
\(24 = \frac{ 7 + 8 }{ 5 } \cdot 8 \)
\(25 = 5! - 87 - 8 \)
\(26 = \frac{ 78 }{ 8 - 5 }\)
\(27 = \sqrt{8 + 8} \cdot 5 + 7 \)
\(28 = 5 + 7 + 8 + 8 \)
\(29 = 87 - 58 \)
\(30 = ( 7 - \frac{ 8 }{ 8 } ) \cdot 5 \)
\(31 = 88 - 57 \)
\(32 = \frac{ 8 }{ 7 - 5 } \cdot 8 \)
\(33 = 57 - \sqrt{8 + 8 }!\)
\(34 = 5! - 78 - 8 \)
\(35 = 5 \cdot 7 - 8 + 8 \)
\(36 = 5 \cdot 7 + \frac{ 8 }{ 8 }\)
\(37 = \frac{ 7! }{ 5! - 8 } - 8 \)
\(38 = 78 - 5 \cdot 8 \)
\(39 = 5! - 88 + 7 \)
\(40 = ( 8 - 7 ) \cdot 5 \cdot 8 \)
\(41 = 57 - 8 - 8 \)
\(42 = ( \frac{ 8 }{ 8 } + 5 ) \cdot 7 \)
\(43 = 58 - 7 - 8 \)
\(44 = \frac{ 88 }{ 7 - 5 }\)
\(45 = \sqrt{88 - 7} \cdot 5 \)
\(46 = 88 - \frac{ 7! }{ 5 ! }\)
\(47 = 87 - 5 \cdot 8 \)
\(48 = ( 8 - ( 7 - 5 ) ) \cdot 8 \)
\(49 = 57 - \sqrt{8 \cdot 8 }\)
\(50 = 5! - 78 + 8 \)
\(51 = 5 \cdot 7 + 8 + 8 \)
\(52 = 8 \cdot 8 - 5 - 7 \)
\(53 = 88 - 5 \cdot 7 \)
\(54 = 7^{\sqrt{\sqrt{8 + 8}}} + 5 \)
\(55 = 5 \cdot 8 + 7 + 8 \)
\(56 = 57 - \frac{ 8 }{ 8 }\)
\(57 = 57 - 8 + 8 \)
\(58 = \frac{ 8 }{ 8 } + 57 \)
\(59 = 58 - 7 + 8 \)
\(60 = \sqrt{\frac{ \frac{ 5 \cdot 8! }{ 7 } }{ 8 }}\)
\(61 = \sqrt{8 + 8} + 57 \)
\(62 = 8 \cdot 8 + 5 - 7 \)
\(63 = 78 - \frac{ 5! }{ 8 }\)
\(64 = 8^{\sqrt{\frac{ 8 }{ 7 - 5 }}}\)
\(65 = 78 - 5 - 8 \)
\(66 = 8 \cdot 8 - 5 + 7 \)
\(67 = 75 - \sqrt{8 \cdot 8 }\)
\(68 = \sqrt{578 \cdot 8 }\)
\(69 = 7 \cdot 8 + 5 + 8 \)
\(70 = 85 - 7 - 8 \)
\(71 = 75 - \sqrt{8 + 8 }\)
\(72 = 78 - ( 8 - 5 )!\)
\(73 = 57 + 8 + 8 \)
\(74 = 75 - \frac{ 8 }{ 8 }\)
\(75 = 75 - 8 + 8 \)
\(76 = \frac{ 8 }{ 8 } + 75 \)
\(77 = ( 8 - 5 + 8 ) \cdot 7 \)
\(78 = \sqrt{\sqrt{\sqrt{( 85 - 7 )^{8 }}}}\)
\(79 = \sqrt{8 + 8} + 75 \)
\(80 = ( 7 - 5 + 8 ) \cdot 8 \)
\(81 = 78 - 5 + 8 \)
\(82 = \sqrt{\sqrt{\sqrt{( 87 - 5 )^{8 }}}}\)
\(83 = \sqrt{8 \cdot 8} + 75 \)
\(84 = \frac{ 588 }{ 7 }\)
\(85 = ( 8 - 7 ) \cdot 85 \)
\(86 = 85 - 7 + 8 \)
\(87 = ( 8 + 8 ) \cdot 5 + 7 \)
\(88 = \sqrt{88^{7 - 5 }}\)
\(89 = 5 \cdot 8 + \sqrt{\sqrt{7^{8 }}}\)
\(90 = 87 - 5 + 8 \)
\(91 = 75 + 8 + 8 \)
\(92 = \sqrt{\sqrt{\sqrt{( 85 + 7 )^{8 }}}}\)
\(93 = \frac{ 5! }{ 8 } + 78 \)
\(94 = ?\)
\(95 = ?\)
\(96 = 5 \cdot 8 + 7 \cdot 8 \)
\(97 = ( 5 + 8 ) \cdot 8 - 7 \)
\(98 = \frac{ ( 5! - 8 ) \cdot 7 }{ 8 }\)
\(99 = ( 5 + 8 ) \cdot 7 + 8 \)
\(100 = 85 + 7 + 8 \)