99 of 100 targets have a solution.
\(1 = 74 - 73 \)
\(2 = \frac{ 74 }{ 37 }\)
\(3 = \sqrt{37 - 4 \cdot 7 }\)
\(4 = 3^{4} - 77 \)
\(5 = \frac{ 37 - \sqrt{4} }{ 7 }\)
\(6 = 7 \cdot 7 - 43 \)
\(7 = \frac{ 73 - 4! }{ 7 }\)
\(8 = \sqrt{74 - 3 - 7 }\)
\(9 = 37 - 4 \cdot 7 \)
\(10 = 47 - 37 \)
\(11 = \frac{ 37 + 7 }{ 4 }\)
\(12 = 7^{\sqrt{4}} - 37 \)
\(13 = 77 - 4^{3 }\)
\(14 = ( 4 - 3 ) \cdot 7 + 7 \)
\(15 = 7 \cdot 7 - 34 \)
\(16 = ( 7 - 4 ) \cdot 3 + 7 \)
\(17 = \sqrt{47 \cdot 3! + 7 }\)
\(18 = \frac{ 47 + 7 }{ 3 }\)
\(19 = 3 + \sqrt{4} + 7 + 7 \)
\(20 = 34 - 7 - 7 \)
\(21 = 3 + 4 + 7 + 7 \)
\(22 = \frac{ 37 + 7 }{ \sqrt{4 } }\)
\(23 = 37 - \sqrt{4} \cdot 7 \)
\(24 = 73 - 7^{\sqrt{4 }}\)
\(25 = \frac{ 77 - \sqrt{4} }{ 3 }\)
\(26 = 73 - 47 \)
\(27 = \frac{ 74 + 7 }{ 3 }\)
\(28 = 37 - \sqrt{4} - 7 \)
\(29 = 43 - 7 - 7 \)
\(30 = ( 7 - 4 + 7 ) \cdot 3 \)
\(31 = 37 - ( 7 - 4 )!\)
\(32 = 37 + \sqrt{4} - 7 \)
\(33 = 34 - \frac{ 7 }{ 7 }\)
\(34 = 77 - 43 \)
\(35 = \frac{ 7 }{ 7 } + 34 \)
\(36 = 43 - \sqrt{7 \cdot 7 }\)
\(37 = 74 - 37 \)
\(38 = 4 \cdot 7 + 3 + 7 \)
\(39 = 3! \cdot 7 + 4 - 7 \)
\(40 = 37 - 4 + 7 \)
\(41 = \sqrt{7 \cdot 7} + 34 \)
\(42 = 43 - \frac{ 7 }{ 7 }\)
\(43 = 77 - 34 \)
\(44 = \frac{ 7 }{ 7 } + 43 \)
\(45 = 73 - 4 \cdot 7 \)
\(46 = 37 + \sqrt{4} + 7 \)
\(47 = ( 7 - 3! ) \cdot 47 \)
\(48 = 34 + 7 + 7 \)
\(49 = \sqrt{7 - 3} + 47 \)
\(50 = \sqrt{7 \cdot 7} + 43 \)
\(51 = 47 - 3 + 7 \)
\(52 = 3 \cdot 7 + 4! + 7 \)
\(53 = 74 - 3 \cdot 7 \)
\(54 = 774 - 3 !!\)
\(55 = \sqrt{4}^{7} - 73 \)
\(56 = 73 - 4! + 7 \)
\(57 = 43 + 7 + 7 \)
\(58 = ( 4! - 7 ) \cdot 3 + 7 \)
\(59 = 73 - \sqrt{4} \cdot 7 \)
\(60 = ( 37 - 7 ) \cdot \sqrt{4 }\)
\(61 = 74 - 3! - 7 \)
\(62 = 73 - 4 - 7 \)
\(63 = ( 7 - 4 ) \cdot 3 \cdot 7 \)
\(64 = 74 - 3 - 7 \)
\(65 = 4 \cdot 7 + 37 \)
\(66 = ( 3 + 7 ) \cdot 7 - 4 \)
\(67 = 37 \cdot \sqrt{4} - 7 \)
\(68 = 3 \cdot 7 + 47 \)
\(69 = 77 - \sqrt{4}^{3 }\)
\(70 = 73 + 4 - 7 \)
\(71 = ( 7 - 3 )! + 47 \)
\(72 = 74 - \sqrt{7 - 3 }\)
\(73 = 74 + 3! - 7 \)
\(74 = ( 7 - 3! ) \cdot 74 \)
\(75 = 74 - 3! + 7 \)
\(76 = 73 - 4 + 7 \)
\(77 = ( 4 - 3 ) \cdot 77 \)
\(78 = 74 - 3 + 7 \)
\(79 = ( 7 - 4 )! + 73 \)
\(80 = ( 4 + 7 ) \cdot 7 + 3 \)
\(81 = 37 \cdot \sqrt{4} + 7 \)
\(82 = 73 + \sqrt{4} + 7 \)
\(83 = 7 \cdot 7 + 34 \)
\(84 = 37 + 47 \)
\(85 = \sqrt{4}^{3} + 77 \)
\(86 = 7^{\sqrt{4}} + 37 \)
\(87 = \sqrt{4} \cdot 7 + 73 \)
\(88 = ( 37 + 7 ) \cdot \sqrt{4 }\)
\(89 = 3 \cdot 4 + 77 \)
\(90 = 73 + 4! - 7 \)
\(91 = ( 37 - 4! ) \cdot 7 \)
\(92 = 7 \cdot 7 + 43 \)
\(93 = ( 3 + 7 )^{\sqrt{4}} - 7 \)
\(94 = \sqrt{7 - 3} \cdot 47 \)
\(95 = 3 \cdot 7 + 74 \)
\(96 = ( \frac{ 7 }{ 7 } + 3 ) \cdot 4 !\)
\(97 = ?\)
\(98 = ( 7 - 3 )! + 74 \)
\(99 = ( 7 - \sqrt{4} )! - 3 \cdot 7 \)
\(100 = ( 4! + 7 ) \cdot 3 + 7 \)