All 100 targets have a solution.
\(1 = ( 5 - 4 )^{17 }\)
\(2 = \sqrt{51 - 47 }\)
\(3 = 5 - \frac{ 14 }{ 7 }\)
\(4 = 51 - 47 \)
\(5 = \frac{ 15 }{ 7 - 4 }\)
\(6 = 41 - 5 \cdot 7 \)
\(7 = \frac{ 14 }{ 7 } + 5 \)
\(8 = 17 - 4 - 5 \)
\(9 = \frac{ 54 }{ 7 - 1 }\)
\(10 = \frac{ 14 \cdot 5 }{ 7 }\)
\(11 = \frac{ 51 - 7 }{ 4 }\)
\(12 = 14 + 5 - 7 \)
\(13 = \sqrt{174 - 5 }\)
\(14 = \frac{ 57 - 1 }{ 4 }\)
\(15 = \frac{ 71 + 4 }{ 5 }\)
\(16 = 57 - 41 \)
\(17 = 71 - 54 \)
\(18 = 15 - 4 + 7 \)
\(19 = \frac{ 57 }{ 4 - 1 }\)
\(20 = 15 - \sqrt{4} + 7 \)
\(21 = 5 \cdot 7 - 14 \)
\(22 = \frac{ 154 }{ 7 }\)
\(23 = 74 - 51 \)
\(24 = ( 51 - 47 )!\)
\(25 = 5^{\frac{ 14 }{ 7 }}\)
\(26 = 71 - 45 \)
\(27 = 147 - 5 !\)
\(28 = 45 - 17 \)
\(29 = 41 - 5 - 7 \)
\(30 = ( 7 - 1^{4} ) \cdot 5 \)
\(31 = ( 1 + 5 ) \cdot 4 + 7 \)
\(32 = 47 - 15 \)
\(33 = 57 \cdot 1 - 4 !\)
\(34 = 75 - 41 \)
\(35 = ( 14 - 7 ) \cdot 5 \)
\(36 = 17 + 4! - 5 \)
\(37 = 54 - 17 \)
\(38 = 45 \cdot 1 - 7 \)
\(39 = 41 + 5 - 7 \)
\(40 = 51 - 4 - 7 \)
\(41 = 47 - 1 - 5 \)
\(42 = 47 \cdot 1 - 5 \)
\(43 = 57 - 14 \)
\(44 = 45 - 1^{7 }\)
\(45 = ( 7 - 4 ) \cdot 15 \)
\(46 = 1^{7} + 45 \)
\(47 = 1^{5} \cdot 47 \)
\(48 = ( 17 - 5 ) \cdot 4 \)
\(49 = 5 \cdot 7 + 14 \)
\(50 = 74 - ( 5 - 1 )!\)
\(51 = 45 - 1 + 7 \)
\(52 = 45 \cdot 1 + 7 \)
\(53 = 15 \cdot 4 - 7 \)
\(54 = 174 - 5 !\)
\(55 = 1^{7} + 54 \)
\(56 = 57 - 1^{4 }\)
\(57 = 1^{4} \cdot 57 \)
\(58 = 1^{4} + 57 \)
\(59 = 74 - 15 \)
\(60 = 54 - 1 + 7 \)
\(61 = 75 - 14 \)
\(62 = 15 + 47 \)
\(63 = ( 14 - 5 ) \cdot 7 \)
\(64 = ( 15 - 7 )^{\sqrt{4 }}\)
\(65 = ( 17 - 4 ) \cdot 5 \)
\(66 = ( 1 + 5 ) \cdot ( 4 + 7 )\)
\(67 = 15 \cdot 4 + 7 \)
\(68 = 74 - 1 - 5 \)
\(69 = 74 \cdot 1 - 5 \)
\(70 = 71 + 4 - 5 \)
\(71 = 14 + 57 \)
\(72 = 71 - 4 + 5 \)
\(73 = 17 \cdot 4 + 5 \)
\(74 = 1^{5} \cdot 74 \)
\(75 = 1^{5} + 74 \)
\(76 = 5 \cdot 7 + 41 \)
\(77 = 14 \cdot 5 + 7 \)
\(78 = 74 - 1 + 5 \)
\(79 = 4 \cdot 7 + 51 \)
\(80 = 71 + 4 + 5 \)
\(81 = 17 \cdot 5 - 4 \)
\(82 = ( 7 - 5 ) \cdot 41 \)
\(83 = 17 \cdot 5 - \sqrt{4 }\)
\(84 = \frac{ 7! }{ 15 \cdot 4 }\)
\(85 = \sqrt{17^{\sqrt{4}}} \cdot 5 \)
\(86 = 5! - 41 + 7 \)
\(87 = 17 \cdot 5 + \sqrt{4 }\)
\(88 = ( 15 + 7 ) \cdot 4 \)
\(89 = 14 + 75 \)
\(90 = ( 7 - 4 )! \cdot 15 \)
\(91 = 4 \cdot 5 + 71 \)
\(92 = 5! - 1 \cdot 4 \cdot 7 \)
\(93 = 14 \cdot 7 - 5 \)
\(94 = \sqrt{5 - 1} \cdot 47 \)
\(95 = ( 17 + \sqrt{4} ) \cdot 5 \)
\(96 = 5^{\sqrt{4}} + 71 \)
\(97 = 5! - ( 4! - 1^{7 } )\)
\(98 = 41 + 57 \)
\(99 = 5! - 14 - 7 \)
\(100 = 7^{\sqrt{4}} + 51 \)