All 100 targets have a solution.
\(1 = 5 - \sqrt{23 - 7 }\)
\(2 = \sqrt{\frac{ 23 + 5 }{ 7 }}\)
\(3 = 5 \cdot 7 - 32 \)
\(4 = \frac{ 23 + 5 }{ 7 }\)
\(5 = \sqrt{57 - 32 }\)
\(6 = \frac{ 23 + 7 }{ 5 }\)
\(7 = \frac{ 35 }{ 7 } + 2 \)
\(8 = 35 - 27 \)
\(9 = \frac{ 3^{5} }{ 27 }\)
\(10 = \frac{ 35 \cdot 2 }{ 7 }\)
\(11 = 23 - 5 - 7 \)
\(12 = 37 - 25 \)
\(13 = \frac{ 52 }{ 7 - 3 }\)
\(14 = \frac{ 27 }{ 3 } + 5 \)
\(15 = 52 - 37 \)
\(16 = \frac{ 32 }{ 7 - 5 }\)
\(17 = \frac{ 57 }{ 3 } - 2 \)
\(18 = 2 \cdot 3 + 5 + 7 \)
\(19 = 72 - 53 \)
\(20 = 32 - 5 - 7 \)
\(21 = 73 - 52 \)
\(22 = \sqrt{25} \cdot 3 + 7 \)
\(23 = \frac{ 53 - 7 }{ 2 }\)
\(24 = ( \frac{ 23 + 5 }{ 7 } )!\)
\(25 = 57 - 32 \)
\(26 = 53 - 27 \)
\(27 = 37 - 2 \cdot 5 \)
\(28 = 27 + 3! - 5 \)
\(29 = 25 - 3 + 7 \)
\(30 = 32 + 5 - 7 \)
\(31 = 52 - 3 \cdot 7 \)
\(32 = 37 - \sqrt{25 }\)
\(33 = 2^{3} \cdot 5 - 7 \)
\(34 = 57 - 23 \)
\(35 = 23 + 5 + 7 \)
\(36 = \frac{ 72 }{ 5 - 3 }\)
\(37 = 72 - 35 \)
\(38 = \frac{ 57 \cdot 2 }{ 3 }\)
\(39 = 53 - 2 \cdot 7 \)
\(40 = 35 - 2 + 7 \)
\(41 = 73 - 2^{5 }\)
\(42 = \sqrt{25} + 37 \)
\(43 = 75 - 32 \)
\(44 = 32 + 5 + 7 \)
\(45 = \frac{ 27 }{ 3 } \cdot 5 \)
\(46 = ( 7 - 5 ) \cdot 23 \)
\(47 = 2 \cdot 5 + 37 \)
\(48 = 73 - 25 \)
\(49 = 2 \cdot 7 + 35 \)
\(50 = \frac{ 75 \cdot 2 }{ 3 }\)
\(51 = 57 - 2 \cdot 3 \)
\(52 = 75 - 23 \)
\(53 = 5^{3} - 72 \)
\(54 = ( 25 - 7 ) \cdot 3 \)
\(55 = ( 2 \cdot 7 - 3 ) \cdot 5 \)
\(56 = ( 35 - 7 ) \cdot 2 \)
\(57 = ( 3 - 2 ) \cdot 57 \)
\(58 = 5 \cdot 7 + 23 \)
\(59 = \frac{ 5^{3} - 7 }{ 2 }\)
\(60 = \frac{ ( \frac{ 35 }{ 7 } )! }{ 2 }\)
\(61 = 57 - 2 + 3 !\)
\(62 = 25 + 37 \)
\(63 = 35 \cdot 2 - 7 \)
\(64 = ( 7 - 5 ) \cdot 32 \)
\(65 = 2^{3} + 57 \)
\(66 = ( 27 - 5 ) \cdot 3 \)
\(67 = 5 \cdot 7 + 32 \)
\(68 = 73 - \sqrt{25 }\)
\(69 = 37 \cdot 2 - 5 \)
\(70 = 72 + 3 - 5 \)
\(71 = 72 - 3! + 5 \)
\(72 = \frac{ 7! }{ 35 \cdot 2 }\)
\(73 = 3 \cdot 7 + 52 \)
\(74 = 72 - 3 + 5 \)
\(75 = 2^{7} - 53 \)
\(76 = \frac{ 532 }{ 7 }\)
\(77 = 35 \cdot 2 + 7 \)
\(78 = \sqrt{25} + 73 \)
\(79 = 37 \cdot 2 + 5 \)
\(80 = 23 + 57 \)
\(81 = 2 \cdot 3 + 75 \)
\(82 = 25 \cdot 3 + 7 \)
\(83 = 2 \cdot 5 + 73 \)
\(84 = ( 35 + 7 ) \cdot 2 \)
\(85 = ( 7 - 2 )! - 35 \)
\(86 = 27 \cdot 3 + 5 \)
\(87 = 3 \cdot 5 + 72 \)
\(88 = 2^{7} - \frac{ 5! }{ 3 }\)
\(89 = 32 + 57 \)
\(90 = 5! - 23 - 7 \)
\(91 = ( 2^{3} + 5 ) \cdot 7 \)
\(92 = ( 53 - 7 ) \cdot 2 \)
\(93 = 2^{7} - 35 \)
\(94 = 3! \cdot 7 + 52 \)
\(95 = 5! - 32 + 7 \)
\(96 = ( 25 + 7 ) \cdot 3 \)
\(97 = \frac{ 5! }{ 2 } + 37 \)
\(98 = 23 + 75 \)
\(99 = 53 \cdot 2 - 7 \)
\(100 = ( 7 - 3 ) \cdot 25 \)