99 of 100 targets have a solution.
\(1 = 24^{7 - 7 }\)
\(2 = 74 - 72 \)
\(3 = \frac{ 42 }{ 7 + 7 }\)
\(4 = 7 - ( 27 - 4 ! )\)
\(5 = \sqrt{72 - 47 }\)
\(6 = \frac{ 42 }{ \sqrt{7 \cdot 7 } }\)
\(7 = \frac{ 42 + 7 }{ 7 }\)
\(8 = \frac{ 72 }{ \sqrt{4} + 7 }\)
\(9 = \frac{ 27 }{ 7 - 4 }\)
\(10 = 24 - 7 - 7 \)
\(11 = \frac{ 72 }{ 4 } - 7 \)
\(12 = \frac{ 72 }{ ( 7 - 4 )! }\)
\(13 = \frac{ 42 }{ 7 } + 7 \)
\(14 = \sqrt{42 + 7} + 7 \)
\(15 = 2^{7 - 4} + 7 \)
\(16 = 27 - 4 - 7 \)
\(17 = 24 - \sqrt{7 \cdot 7 }\)
\(18 = 27 - \sqrt{4} - 7 \)
\(19 = 4 \cdot 7 - 2 - 7 \)
\(20 = 47 - 27 \)
\(21 = ( 27 - 4! ) \cdot 7 \)
\(22 = 27 + \sqrt{4} - 7 \)
\(23 = 24 - \frac{ 7 }{ 7 }\)
\(24 = 24 - 7 + 7 \)
\(25 = 72 - 47 \)
\(26 = \frac{ 4! }{ 2 } + 7 + 7 \)
\(27 = \frac{ 47 + 7 }{ 2 }\)
\(28 = 42 - 7 - 7 \)
\(29 = \frac{ 72 }{ \sqrt{4} } - 7 \)
\(30 = 27 - 4 + 7 \)
\(31 = \sqrt{7 \cdot 7} + 24 \)
\(32 = 27 - \sqrt{4} + 7 \)
\(33 = 47 - 2 \cdot 7 \)
\(34 = \sqrt{27^{\sqrt{4}}} + 7 \)
\(35 = 77 - 42 \)
\(36 = 27 + \sqrt{4} + 7 \)
\(37 = 4 \cdot 7 + 2 + 7 \)
\(38 = 24 + 7 + 7 \)
\(39 = \frac{ 2^{7} }{ 4 } + 7 \)
\(40 = ( 27 - 7 ) \cdot \sqrt{4 }\)
\(41 = 42 - \frac{ 7 }{ 7 }\)
\(42 = \frac{ 42 }{ 7 } \cdot 7 \)
\(43 = \frac{ 7 }{ 7 } + 42 \)
\(44 = 72 - 4 \cdot 7 \)
\(45 = 2 \cdot 7 + 4! + 7 \)
\(46 = ( 7 - 2 )! - 74 \)
\(47 = 74 - 27 \)
\(48 = ( 7 - 2 + 7 ) \cdot 4 \)
\(49 = \sqrt{42 + 7} \cdot 7 \)
\(50 = \sqrt{2 + 7} + 47 \)
\(51 = 77 - 2 - 4 !\)
\(52 = 47 - 2 + 7 \)
\(53 = 77 - 24 \)
\(54 = 2^{7} - 74 \)
\(55 = 4 \cdot 7 + 27 \)
\(56 = 42 + 7 + 7 \)
\(57 = 2 \cdot 4 + 7 \cdot 7 \)
\(58 = 27 + 4! + 7 \)
\(59 = ( 2 + 7 ) \cdot 7 - 4 \)
\(60 = 74 - 2 \cdot 7 \)
\(61 = \frac{ 427 }{ 7 }\)
\(62 = 2 \cdot 4! + 7 + 7 \)
\(63 = 72 - \sqrt{4} - 7 \)
\(64 = 4^{\frac{ 7 }{ 7 } + 2 }\)
\(65 = 74 - 2 - 7 \)
\(66 = \frac{ 7! }{ 72 } - 4 \)
\(67 = 72 + \sqrt{4} - 7 \)
\(68 = ( 27 + 7 ) \cdot \sqrt{4 }\)
\(69 = 72 + 4 - 7 \)
\(70 = \frac{ 7! }{ 74 - 2 }\)
\(71 = 77 - 2 - 4 \)
\(72 = \frac{ 7! }{ 72 - \sqrt{4 } }\)
\(73 = 7 \cdot 7 + 24 \)
\(74 = 27 + 47 \)
\(75 = 72 - 4 + 7 \)
\(76 = 7^{\sqrt{4}} + 27 \)
\(77 = 72 - \sqrt{4} + 7 \)
\(78 = ( 7 - 4 )! + 72 \)
\(79 = 74 - 2 + 7 \)
\(80 = ( 27 - 7 ) \cdot 4 \)
\(81 = ( 7 - 4 ) \cdot 27 \)
\(82 = \frac{ 7! }{ 4! } - 2^{7 }\)
\(83 = 72 + 4 + 7 \)
\(84 = ( 2 \cdot 7 + 7 ) \cdot 4 \)
\(85 = 2 \cdot 4 + 77 \)
\(86 = \sqrt{4} \cdot 7 + 72 \)
\(87 = 47 \cdot 2 - 7 \)
\(88 = 2 \cdot 7 + 74 \)
\(89 = 72 + 4! - 7 \)
\(90 = ( 7 \cdot 7 - 4 ) \cdot 2 \)
\(91 = 7 \cdot 7 + 42 \)
\(92 = ( 7 - 2 )! - 4 \cdot 7 \)
\(93 = 2^{4} + 77 \)
\(94 = 2 \cdot 7 \cdot 7 - 4 \)
\(95 = ?\)
\(96 = 7^{2} + 47 \)
\(97 = 2^{7} - 4! - 7 \)
\(98 = ( 4 - 2 ) \cdot 7 \cdot 7 \)
\(99 = 77 - 2 + 4 !\)
\(100 = 4 \cdot 7 + 72 \)