All 100 targets have a solution.
\(1 = 27^{3 - 3 }\)
\(2 = 23 - 3 \cdot 7 \)
\(3 = \frac{ \frac{ 27 }{ 3 } }{ 3 }\)
\(4 = \frac{ 27 - 3 }{ 3 ! }\)
\(5 = 37 - 32 \)
\(6 = 33 - 27 \)
\(7 = \sqrt{23 - 7} + 3 \)
\(8 = \frac{ 27 - 3 }{ 3 }\)
\(9 = \sqrt{\frac{ 27 }{ 3 }} \cdot 3 \)
\(10 = \frac{ 23 + 7 }{ 3 }\)
\(11 = 32 - 3 \cdot 7 \)
\(12 = \frac{ 27 }{ 3 } + 3 \)
\(13 = 23 - 3 - 7 \)
\(14 = 37 - 23 \)
\(15 = \frac{ 27 }{ 3 } + 3 !\)
\(16 = 7^{2} - 33 \)
\(17 = \frac{ 37 - 3 }{ 2 }\)
\(18 = \sqrt{327 - 3 }\)
\(19 = 23 + 3 - 7 \)
\(20 = \frac{ 33 + 7 }{ 2 }\)
\(21 = 27 - 3 - 3 \)
\(22 = 32 - 3 - 7 \)
\(23 = \frac{ 72 - 3 }{ 3 }\)
\(24 = 33 - 2 - 7 \)
\(25 = \frac{ 72 + 3 }{ 3 }\)
\(26 = 27 - \frac{ 3 }{ 3 }\)
\(27 = \sqrt{732 - 3 }\)
\(28 = \frac{ 3 }{ 3 } + 27 \)
\(29 = 37 - 2^{3 }\)
\(30 = 27 - 3 + 3 !\)
\(31 = 37 - 2 \cdot 3 \)
\(32 = 37 - 2 - 3 \)
\(33 = 23 + 3 + 7 \)
\(34 = \sqrt{7 - 3} + 32 \)
\(35 = \frac{ 73 - 3 }{ 2 }\)
\(36 = 3 \cdot 3 + 27 \)
\(37 = ( 3 - 2 ) \cdot 37 \)
\(38 = 33 - 2 + 7 \)
\(39 = 72 - 33 \)
\(40 = \sqrt{33^{2}} + 7 \)
\(41 = 73 - 32 \)
\(42 = 32 + 3 + 7 \)
\(43 = 2 \cdot 3 + 37 \)
\(44 = 3 \cdot 7 + 23 \)
\(45 = 2^{3} + 37 \)
\(46 = 3^{2} + 37 \)
\(47 = 2 \cdot 7 + 33 \)
\(48 = ( 23 - 7 ) \cdot 3 \)
\(49 = 2 \cdot 3! + 37 \)
\(50 = 73 - 23 \)
\(51 = ( 2 \cdot 7 + 3 ) \cdot 3 \)
\(52 = ( 33 - 7 ) \cdot 2 \)
\(53 = 3 \cdot 7 + 32 \)
\(54 = 3^{3} + 27 \)
\(55 = 7^{2} + 3 + 3 \)
\(56 = ( 7 - 3 )! + 32 \)
\(57 = 2^{3 + 3} - 7 \)
\(58 = 7^{2} + 3 \cdot 3 \)
\(59 = 33 \cdot 2 - 7 \)
\(60 = 23 + 37 \)
\(61 = 73 - 2 \cdot 3 !\)
\(62 = \frac{ 372 }{ 3 ! }\)
\(63 = 72 - 3 \cdot 3 \)
\(64 = 73 - 3^{2 }\)
\(65 = 73 - 2^{3 }\)
\(66 = 72 - 3 - 3 \)
\(67 = 73 - 2 \cdot 3 \)
\(68 = ( 37 - 3 ) \cdot 2 \)
\(69 = 32 + 37 \)
\(70 = 72 - \frac{ 3! }{ 3 }\)
\(71 = 37 \cdot 2 - 3 \)
\(72 = ( 27 - 3 ) \cdot 3 \)
\(73 = 33 \cdot 2 + 7 \)
\(74 = 73 - 2 + 3 \)
\(75 = ( 32 - 7 ) \cdot 3 \)
\(76 = 23 \cdot 3 + 7 \)
\(77 = 37 \cdot 2 + 3 \)
\(78 = 27 \cdot 3 - 3 \)
\(79 = \frac{ 237 }{ 3 }\)
\(80 = ( 33 + 7 ) \cdot 2 \)
\(81 = 3 \cdot 3 + 72 \)
\(82 = 7^{2} + 33 \)
\(83 = ( 2 + 3 )! - 37 \)
\(84 = 27 \cdot 3 + 3 \)
\(85 = 2 \cdot 3! + 73 \)
\(86 = ( 37 + 3! ) \cdot 2 \)
\(87 = 27 \cdot 3 + 3 !\)
\(88 = ( 3 \cdot 3 )^{2} + 7 \)
\(89 = 32 \cdot 3 - 7 \)
\(90 = ( 23 + 7 ) \cdot 3 \)
\(91 = \frac{ 273 }{ 3 }\)
\(92 = ( 7 - 3 ) \cdot 23 \)
\(93 = ( 7 - 2 )! - 3^{3 }\)
\(94 = ( 3 + 7 )^{2} - 3 !\)
\(95 = 2^{7} - 33 \)
\(96 = 23 + 73 \)
\(97 = ( 3 + 7 )^{2} - 3 \)
\(98 = ( 2^{3} + 3! ) \cdot 7 \)
\(99 = 3^{3} + 72 \)
\(100 = ( \sqrt{3 \cdot 3} + 7 )^{2 }\)