All 100 targets have a solution.
\(1 = \frac{ 12 - 5 }{ 7 }\)
\(2 = 5 - \frac{ 21 }{ 7 }\)
\(3 = \frac{ 15 }{ 7 - 2 }\)
\(4 = \frac{ 15 - 7 }{ 2 }\)
\(5 = 1^{27} \cdot 5 \)
\(6 = \sqrt{57 - 21 }\)
\(7 = 127 - 5 !\)
\(8 = 25 - 17 \)
\(9 = 21 - 5 - 7 \)
\(10 = 12 + 5 - 7 \)
\(11 = \frac{ 15 + 7 }{ 2 }\)
\(12 = 27 - 15 \)
\(13 = \sqrt{25} + 1 + 7 \)
\(14 = 12 - 5 + 7 \)
\(15 = 2^{5} - 17 \)
\(16 = \sqrt{257 - 1 }\)
\(17 = 25 - 1 - 7 \)
\(18 = 25 \cdot 1 - 7 \)
\(19 = 71 - 52 \)
\(20 = 15 - 2 + 7 \)
\(21 = 72 - 51 \)
\(22 = 17 + \sqrt{25 }\)
\(23 = 5 \cdot 7 - 12 \)
\(24 = 51 - 27 \)
\(25 = ( 12 - 7 ) \cdot 5 \)
\(26 = 1^{7} + 25 \)
\(27 = 2 \cdot 5 + 17 \)
\(28 = 1^{5} + 27 \)
\(29 = 2 \cdot 7 + 15 \)
\(30 = \sqrt{12 \cdot 75 }\)
\(31 = 25 - 1 + 7 \)
\(32 = 25 \cdot 1 + 7 \)
\(33 = 21 + 5 + 7 \)
\(34 = 7^{2} - 15 \)
\(35 = 52 - 17 \)
\(36 = 57 - 21 \)
\(37 = 15 \cdot 2 + 7 \)
\(38 = \frac{ 71 + 5 }{ 2 }\)
\(39 = 17 \cdot 2 + 5 \)
\(40 = \frac{ 5! }{ \frac{ 21 }{ 7 } }\)
\(41 = ( 7 - 1 )^{2} + 5 \)
\(42 = 15 + 27 \)
\(43 = \frac{ 5! }{ 2 } - 17 \)
\(44 = ( 15 + 7 ) \cdot 2 \)
\(45 = 57 - 12 \)
\(46 = 71 - 25 \)
\(47 = 5 \cdot 7 + 12 \)
\(48 = \frac{ 7! }{ 21 \cdot 5 }\)
\(49 = ( 12 - 5 ) \cdot 7 \)
\(50 = ( 1 + 2 + 7 ) \cdot 5 \)
\(51 = ( 5 - 2 ) \cdot 17 \)
\(52 = 172 - 5 !\)
\(53 = 12 \cdot 5 - 7 \)
\(54 = 75 - 21 \)
\(55 = 57 \cdot 1 - 2 \)
\(56 = 5 \cdot 7 + 21 \)
\(57 = 72 - 15 \)
\(58 = 52 - 1 + 7 \)
\(59 = 52 \cdot 1 + 7 \)
\(60 = 51 + 2 + 7 \)
\(61 = 71 - 2 \cdot 5 \)
\(62 = ( ( 5 - 1 )! + 7 ) \cdot 2 \)
\(63 = 75 - 12 \)
\(64 = ( 15 - 7 )^{2 }\)
\(65 = 2 \cdot 7 + 51 \)
\(66 = 71 - \sqrt{25 }\)
\(67 = 12 \cdot 5 + 7 \)
\(68 = 71 + 2 - 5 \)
\(69 = 12 + 57 \)
\(70 = ( 21 - 7 ) \cdot 5 \)
\(71 = 72 - 1^{5 }\)
\(72 = 1^{5} \cdot 72 \)
\(73 = 1^{5} + 72 \)
\(74 = 71 - 2 + 5 \)
\(75 = ( 7 - 2 ) \cdot 15 \)
\(76 = \sqrt{25} + 71 \)
\(77 = 2^{7} - 51 \)
\(78 = 21 + 57 \)
\(79 = 12 \cdot 7 - 5 \)
\(80 = ( 1 + 7 ) \cdot 2 \cdot 5 \)
\(81 = 2 \cdot 5 + 71 \)
\(82 = ( \frac{ 7! }{ 5! } - 1 ) \cdot 2 \)
\(83 = 17 \cdot 5 - 2 \)
\(84 = \frac{ 7! }{ 12 \cdot 5 }\)
\(85 = 17 \cdot \sqrt{25 }\)
\(86 = 5! - 17 \cdot 2 \)
\(87 = 12 + 75 \)
\(88 = ( 51 - 7 ) \cdot 2 \)
\(89 = 12 \cdot 7 + 5 \)
\(90 = \sqrt{2 + 7}! \cdot 15 \)
\(91 = ( 15 - 2 ) \cdot 7 \)
\(92 = 5! - 21 - 7 \)
\(93 = 5! - 27 \cdot 1 \)
\(94 = 5! - ( 27 - 1 )\)
\(95 = ( 12 + 7 ) \cdot 5 \)
\(96 = 21 + 75 \)
\(97 = 217 - 5 !\)
\(98 = 21 \cdot 5 - 7 \)
\(99 = 5! - ( 1 + 2 ) \cdot 7 \)
\(100 = 7^{2} + 51 \)