99 of 100 targets have a solution.
\(1 = ( 8 - 7 )^{23 }\)
\(2 = \frac{ 23 - 7 }{ 8 }\)
\(3 = \sqrt{37 - 28 }\)
\(4 = 8 - \sqrt{23 - 7 }\)
\(5 = 8 - \sqrt{\frac{ 27 }{ 3 }}\)
\(6 = \frac{ 72 }{ 8 } - 3 \)
\(7 = \frac{ 28 }{ 7 } + 3 \)
\(8 = \sqrt{87 - 23 }\)
\(9 = 37 - 28 \)
\(10 = \frac{ 28 }{ 7 } + 3 !\)
\(11 = 38 - 27 \)
\(12 = \frac{ 28 \cdot 3 }{ 7 }\)
\(13 = \frac{ \frac{ 78 }{ 2 } }{ 3 }\)
\(14 = \frac{ 28 }{ \sqrt{7 - 3 } }\)
\(15 = 28 - 3! - 7 \)
\(16 = 27 - 3 - 8 \)
\(17 = \frac{ 27 }{ 3 } + 8 \)
\(18 = 28 - 3 - 7 \)
\(19 = 2 \cdot 7 - 3 + 8 \)
\(20 = \frac{ 72 }{ 3! } + 8 \)
\(21 = 37 - 2 \cdot 8 \)
\(22 = 23 + 7 - 8 \)
\(23 = ( 8 - 7 ) \cdot 23 \)
\(24 = 23 - 7 + 8 \)
\(25 = \frac{ 82 - 7 }{ 3 }\)
\(26 = \frac{ 38 }{ 2 } + 7 \)
\(27 = 37 - 2 - 8 \)
\(28 = \frac{ 32 \cdot 7 }{ 8 }\)
\(29 = 38 - 2 - 7 \)
\(30 = \sqrt{7 - 3} + 28 \)
\(31 = 32 + 7 - 8 \)
\(32 = 27 - 3 + 8 \)
\(33 = 7 \cdot 8 - 23 \)
\(34 = \frac{ 238 }{ 7 }\)
\(35 = \sqrt{28 - 3} \cdot 7 \)
\(36 = \frac{ 78 }{ 2 } - 3 \)
\(37 = ( 7 - 2 )! - 83 \)
\(38 = 23 + 7 + 8 \)
\(39 = \sqrt{\frac{ 8 }{ 2 }} + 37 \)
\(40 = \sqrt{32 - 7} \cdot 8 \)
\(41 = \frac{ 8 }{ 2 } + 37 \)
\(42 = \frac{ 78 }{ 2 } + 3 \)
\(43 = 37 - 2 + 8 \)
\(44 = 7^{2} + 3 - 8 \)
\(45 = 73 - 28 \)
\(46 = 78 - 32 \)
\(47 = 32 + 7 + 8 \)
\(48 = 72 - 3 \cdot 8 \)
\(49 = 3 \cdot 7 + 28 \)
\(50 = 2 \cdot 3 \cdot 7 + 8 \)
\(51 = 3 \cdot 8 + 27 \)
\(52 = 2 \cdot 7 + 38 \)
\(53 = 2 \cdot 8 + 37 \)
\(54 = ( 8 - 3! ) \cdot 27 \)
\(55 = 78 - 23 \)
\(56 = 83 - 27 \)
\(57 = ( 27 - 8 ) \cdot 3 \)
\(58 = ( 37 - 8 ) \cdot 2 \)
\(59 = \sqrt{7^{2}} \cdot 8 + 3 \)
\(60 = \frac{ 7! }{ 28 \cdot 3 }\)
\(61 = 72 - 3 - 8 \)
\(62 = ( 38 - 7 ) \cdot 2 \)
\(63 = ( 28 - 7 ) \cdot 3 \)
\(64 = 87 - 23 \)
\(65 = 27 + 38 \)
\(66 = 37 \cdot 2 - 8 \)
\(67 = 72 + 3 - 8 \)
\(68 = 8^{2} - 3 + 7 \)
\(69 = 38 \cdot 2 - 7 \)
\(70 = 78 - 2^{3 }\)
\(71 = 73 - \sqrt{\frac{ 8 }{ 2 }}\)
\(72 = \frac{ 27 }{ 3 } \cdot 8 \)
\(73 = 27 \cdot 3 - 8 \)
\(74 = 83 - 2 - 7 \)
\(75 = 3! \cdot 8 + 27 \)
\(76 = \sqrt{83^{2}} - 7 \)
\(77 = 28 \cdot 3 - 7 \)
\(78 = ( 3 - 2 ) \cdot 78 \)
\(79 = 7 \cdot 8 + 23 \)
\(80 = 82 - \sqrt{7 - 3 }\)
\(81 = 3^{\frac{ 28 }{ 7 }}\)
\(82 = 37 \cdot 2 + 8 \)
\(83 = 38 \cdot 2 + 7 \)
\(84 = 2 \cdot 3 + 78 \)
\(85 = 8^{2} + 3 \cdot 7 \)
\(86 = 2^{3} + 78 \)
\(87 = 7^{2} + 38 \)
\(88 = 7 \cdot 8 + 32 \)
\(89 = 27 \cdot 3 + 8 \)
\(90 = ( 37 + 8 ) \cdot 2 \)
\(91 = 28 \cdot 3 + 7 \)
\(92 = 82 + 3 + 7 \)
\(93 = 2 \cdot 3 + 87 \)
\(94 = ?\)
\(95 = 2^{3} + 87 \)
\(96 = 3 \cdot 8 + 72 \)
\(97 = 2 \cdot 7 + 83 \)
\(98 = \sqrt{7^{3} \cdot 28 }\)
\(99 = 2 \cdot 3! + 87 \)
\(100 = ( 2 + 8 ) \cdot ( 3 + 7 )\)