All 100 targets have a solution.
\(1 = ( 5 - 4 )^{27 }\)
\(2 = \frac{ 54 }{ 27 }\)
\(3 = \frac{ 25 - 4 }{ 7 }\)
\(4 = 7^{2} - 45 \)
\(5 = 52 - 47 \)
\(6 = \frac{ 52 }{ 4 } - 7 \)
\(7 = \sqrt{74 - 25 }\)
\(8 = \frac{ 25 + 7 }{ 4 }\)
\(9 = \sqrt{24 + 57 }\)
\(10 = 5 - ( 4 - 2 ) + 7 \)
\(11 = 5 \cdot 7 - 24 \)
\(12 = 24 - 5 - 7 \)
\(13 = \frac{ 72 }{ 4 } - 5 \)
\(14 = 25 - 4 - 7 \)
\(15 = 57 - 42 \)
\(16 = \sqrt{25} + 4 + 7 \)
\(17 = \sqrt{25 \cdot 4} + 7 \)
\(18 = 45 - 27 \)
\(19 = \frac{ 45 - 7 }{ 2 }\)
\(20 = \frac{ 52 }{ 4 } + 7 \)
\(21 = \frac{ 42 }{ 7 - 5 }\)
\(22 = 47 - 25 \)
\(23 = \sqrt{527 + \sqrt{4 }}\)
\(24 = \sqrt{572 + 4 }\)
\(25 = ( 4 + 5 ) \cdot 2 + 7 \)
\(26 = 24 - 5 + 7 \)
\(27 = 54 - 27 \)
\(28 = 25 - 4 + 7 \)
\(29 = 4 \cdot 5 + 2 + 7 \)
\(30 = 42 - 5 - 7 \)
\(31 = 45 - 2 \cdot 7 \)
\(32 = \frac{ 74 }{ 2 } - 5 \)
\(33 = 57 - 24 \)
\(34 = \frac{ 54 }{ 2 } + 7 \)
\(35 = \frac{ 245 }{ 7 }\)
\(36 = 24 + 5 + 7 \)
\(37 = 47 - 2 \cdot 5 \)
\(38 = \sqrt{45^{2}} - 7 \)
\(39 = \sqrt{25} \cdot 7 + 4 \)
\(40 = 42 + 5 - 7 \)
\(41 = 52 - 4 - 7 \)
\(42 = 47 - \sqrt{25 }\)
\(43 = 25 \cdot \sqrt{4} - 7 \)
\(44 = 42 - 5 + 7 \)
\(45 = 54 - 2 - 7 \)
\(46 = \sqrt{25}! - 74 \)
\(47 = 4 \cdot 5 + 27 \)
\(48 = ( 7 - 5 ) \cdot 24 \)
\(49 = 74 - 25 \)
\(50 = 45 - 2 + 7 \)
\(51 = 75 - 24 \)
\(52 = \sqrt{25} + 47 \)
\(53 = 4 \cdot 7 + 25 \)
\(54 = 42 + 5 + 7 \)
\(55 = 52 - 4 + 7 \)
\(56 = 25 + 4! + 7 \)
\(57 = 2 \cdot 5 + 47 \)
\(58 = ( 7 - 4 )! + 52 \)
\(59 = 5 \cdot 7 + 24 \)
\(60 = 2^{5} + 4 \cdot 7 \)
\(61 = 52 + \sqrt{4} + 7 \)
\(62 = 72 - \sqrt{4} \cdot 5 \)
\(63 = 52 + 4 + 7 \)
\(64 = 74 - 2 \cdot 5 \)
\(65 = 2 \cdot 4 + 57 \)
\(66 = \sqrt{4} \cdot 7 + 52 \)
\(67 = 74 - 2 - 5 \)
\(68 = 2 \cdot 7 + 54 \)
\(69 = 74 - \sqrt{25 }\)
\(70 = \sqrt{25 \cdot 4} \cdot 7 \)
\(71 = 72 + 4 - 5 \)
\(72 = 25 + 47 \)
\(73 = 2^{4} + 57 \)
\(74 = 2^{7} - 54 \)
\(75 = ( 7 - 4 ) \cdot 25 \)
\(76 = ( 45 - 7 ) \cdot 2 \)
\(77 = 5 \cdot 7 + 42 \)
\(78 = ( 5 \cdot 7 + 4 ) \cdot 2 \)
\(79 = \sqrt{25} + 74 \)
\(80 = 4 \cdot 7 + 52 \)
\(81 = 24 + 57 \)
\(82 = \sqrt{4} \cdot 5 + 72 \)
\(83 = 45 \cdot 2 - 7 \)
\(84 = ( 7 - 5 ) \cdot 42 \)
\(85 = ( 24 - 7 ) \cdot 5 \)
\(86 = \sqrt{2 + 7}^{4} + 5 \)
\(87 = \frac{ 4! }{ 2 } + 75 \)
\(88 = ( 27 - 5 ) \cdot 4 \)
\(89 = 47 \cdot 2 - 5 \)
\(90 = \frac{ 72 }{ 4 } \cdot 5 \)
\(91 = \frac{ 52 }{ 4 } \cdot 7 \)
\(92 = 4 \cdot 5 + 72 \)
\(93 = 25 \cdot 4 - 7 \)
\(94 = 7^{2} + 45 \)
\(95 = ( 7 - \sqrt{4} )! - 25 \)
\(96 = ( 5 + 7 ) \cdot 2 \cdot 4 \)
\(97 = 45 \cdot 2 + 7 \)
\(98 = ( 2 \cdot 5 + 4 ) \cdot 7 \)
\(99 = 24 + 75 \)
\(100 = ( 7 - 2 ) \cdot 4 \cdot 5 \)