All 100 targets have a solution.
\(1 = 57^{4 - 4 }\)
\(2 = 47 - 45 \)
\(3 = \sqrt{44 - 5 \cdot 7 }\)
\(4 = 7^{\sqrt{4}} - 45 \)
\(5 = \frac{ 45 }{ \sqrt{4} + 7 }\)
\(6 = \frac{ 54 }{ \sqrt{4} + 7 }\)
\(7 = 54 - 47 \)
\(8 = \frac{ 54 + \sqrt{4} }{ 7 }\)
\(9 = 44 - 5 \cdot 7 \)
\(10 = \frac{ 74 - 4! }{ 5 }\)
\(11 = 5 - \frac{ 4 }{ 4 } + 7 \)
\(12 = 4 - 4 + 5 + 7 \)
\(13 = 57 - 44 \)
\(14 = \frac{ 74 - 4 }{ 5 }\)
\(15 = \frac{ 45 }{ 7 - 4 }\)
\(16 = ( 4 + 5 - 7 )^{4 }\)
\(17 = 45 - 4 \cdot 7 \)
\(18 = \frac{ 54 }{ 7 - 4 }\)
\(19 = \frac{ 45 - 7 }{ \sqrt{4 } }\)
\(20 = 74 - 54 \)
\(21 = \frac{ 47 - 5 }{ \sqrt{4 } }\)
\(22 = \frac{ 44 }{ 7 - 5 }\)
\(23 = 54 - 4! - 7 \)
\(24 = \sqrt{574 + \sqrt{4 }}\)
\(25 = ( 4 + 5 ) \cdot \sqrt{4} + 7 \)
\(26 = 54 - 4 \cdot 7 \)
\(27 = 47 - 4 \cdot 5 \)
\(28 = 45 - 4! + 7 \)
\(29 = 74 - 45 \)
\(30 = ( 7 - \frac{ 4 }{ 4 } ) \cdot 5 \)
\(31 = 75 - 44 \)
\(32 = 44 - 5 - 7 \)
\(33 = ( 4 + 4 ) \cdot 5 - 7 \)
\(34 = 45 - 4 - 7 \)
\(35 = ( 4 - 4 + 5 ) \cdot 7 \)
\(36 = 45 - \sqrt{4} - 7 \)
\(37 = 47 - \sqrt{4} \cdot 5 \)
\(38 = 47 - 4 - 5 \)
\(39 = 45 - ( 7 - 4 )!\)
\(40 = 45 + \sqrt{4} - 7 \)
\(41 = 57 - 4 \cdot 4 \)
\(42 = 44 + 5 - 7 \)
\(43 = 54 - 4 - 7 \)
\(44 = \sqrt{44^{7 - 5 }}\)
\(45 = 54 - \sqrt{4} - 7 \)
\(46 = 44 - 5 + 7 \)
\(47 = ( 5 - 4 ) \cdot 47 \)
\(48 = 45 - 4 + 7 \)
\(49 = 57 - 4 - 4 \)
\(50 = 45 - \sqrt{4} + 7 \)
\(51 = 54 + 4 - 7 \)
\(52 = ( 4 \cdot 5 - 7 ) \cdot 4 \)
\(53 = 57 - \sqrt{4 \cdot 4 }\)
\(54 = 74 - 4 \cdot 5 \)
\(55 = 57 - 4 + \sqrt{4 }\)
\(56 = 44 + 5 + 7 \)
\(57 = 54 - 4 + 7 \)
\(58 = \frac{ 4 }{ 4 } + 57 \)
\(59 = 75 - 4 \cdot 4 \)
\(60 = ( 7 - 4 )! + 54 \)
\(61 = \sqrt{4 \cdot 4} + 57 \)
\(62 = 45 + 4! - 7 \)
\(63 = 54 + \sqrt{4} + 7 \)
\(64 = 74 - \sqrt{4} \cdot 5 \)
\(65 = 54 + 4 + 7 \)
\(66 = 47 + 4! - 5 \)
\(67 = 4 \cdot 5 + 47 \)
\(68 = 47 \cdot 4 - 5 !\)
\(69 = 5! - 44 - 7 \)
\(70 = 5! - ( 74 - 4 ! )\)
\(71 = 54 + 4! - 7 \)
\(72 = 5^{\sqrt{4}} + 47 \)
\(73 = 4 \cdot 7 + 45 \)
\(74 = ( 5 - 4 ) \cdot 74 \)
\(75 = 74 - 4 + 5 \)
\(76 = \frac{ 4 }{ 4 } + 75 \)
\(77 = 5! - ( 47 - 4 )\)
\(78 = ( 5 \cdot 7 + 4 ) \cdot \sqrt{4 }\)
\(79 = 5 \cdot 7 + 44 \)
\(80 = ( 5 - \sqrt{4} )! + 74 \)
\(81 = 74 + \sqrt{4} + 5 \)
\(82 = 4 \cdot 7 + 54 \)
\(83 = 74 + 4 + 5 \)
\(84 = ( 47 - 5 ) \cdot \sqrt{4 }\)
\(85 = 54 + 4! + 7 \)
\(86 = ( 7 - 4 )^{4} + 5 \)
\(87 = 4 \cdot 4 \cdot 5 + 7 \)
\(88 = ( 7 - 5 ) \cdot 44 \)
\(89 = 47 \cdot \sqrt{4} - 5 \)
\(90 = \frac{ 7! }{ 54 + \sqrt{4 } }\)
\(91 = 4 \cdot 4 + 75 \)
\(92 = 45 + 47 \)
\(93 = 74 + 4! - 5 \)
\(94 = 4 \cdot 5 + 74 \)
\(95 = 75 - 4 + 4 !\)
\(96 = ( 4 + 4 ) \cdot ( 5 + 7 )\)
\(97 = 45 \cdot \sqrt{4} + 7 \)
\(98 = ( \sqrt{4} \cdot 5 + 4 ) \cdot 7 \)
\(99 = 47 \cdot \sqrt{4} + 5 \)
\(100 = ( 7 - \sqrt{4} ) \cdot 4 \cdot 5 \)