All 100 targets have a solution.
\(1 = 59^{7 - 7 }\)
\(2 = \sqrt{79 - 75 }\)
\(3 = 9 - ( \frac{ 7 }{ 7 } + 5 )\)
\(4 = 79 - 75 \)
\(5 = 9 - ( 5 - \frac{ 7 }{ 7 } )\)
\(6 = 7 \cdot 9 - 57 \)
\(7 = \frac{ 77 }{ 5 + \sqrt{9 }! }\)
\(8 = \frac{ 77 - 5 }{ 9 }\)
\(9 = \sqrt{77 - 5 + 9 }\)
\(10 = 59 - 7 \cdot 7 \)
\(11 = ( 7 - 5 ) \cdot 9 - 7 \)
\(12 = \frac{ 75 + 9 }{ 7 }\)
\(13 = 5 - \frac{ 7 }{ 7 } + 9 \)
\(14 = 7 - ( 7 - 5 ) + 9 \)
\(15 = \frac{ 7 }{ 7 } + 5 + 9 \)
\(16 = \frac{ 77 + \sqrt{9} }{ 5 }\)
\(17 = \sqrt{57 + 7} + 9 \)
\(18 = 77 - 59 \)
\(19 = 5 \cdot 7 - 7 - 9 \)
\(20 = \sqrt{7^{\sqrt{9}} + 57 }\)
\(21 = ( 5 + 7 - 9 ) \cdot 7 \)
\(22 = 79 - 57 \)
\(23 = ( 7 - 5 ) \cdot 7 + 9 \)
\(24 = ( 79 - 75 )!\)
\(25 = ( 7 - 5 ) \cdot 9 + 7 \)
\(26 = \frac{ 57 }{ \sqrt{9} } + 7 \)
\(27 = \sqrt{7 - 5 + 7} \cdot 9 \)
\(28 = \sqrt{775 + 9 }\)
\(29 = 5 \cdot \sqrt{9} + 7 + 7 \)
\(30 = 5! - 97 + 7 \)
\(31 = \frac{ 97 + 5! }{ 7 }\)
\(32 = 77 - 5 \cdot 9 \)
\(33 = 5 \cdot 7 + 7 - 9 \)
\(34 = 5! - 77 - 9 \)
\(35 = 7 \cdot 7 - 5 - 9 \)
\(36 = 57 - 7 \cdot \sqrt{9 }\)
\(37 = 757 - \sqrt{9 }!!\)
\(38 = ( 9 - 5 )! + 7 + 7 \)
\(39 = ( 9 - 7 )^{5} + 7 \)
\(40 = 97 - 57 \)
\(41 = 57 - 7 - 9 \)
\(42 = ( 7 - 5 ) \cdot 7 \cdot \sqrt{9 }\)
\(43 = ( 5 + 7 ) \cdot \sqrt{9} + 7 \)
\(44 = 79 - 5 \cdot 7 \)
\(45 = 59 - 7 - 7 \)
\(46 = 95 - 7 \cdot 7 \)
\(47 = 57 - 7 - \sqrt{9 }\)
\(48 = 5^{\sqrt{9}} - 77 \)
\(49 = 7^{\frac{ 5 + 9 }{ 7 }}\)
\(50 = ( \frac{ 7 }{ 7 } + 9 ) \cdot 5 \)
\(51 = 5 \cdot 7 + 7 + 9 \)
\(52 = 59 - \sqrt{7 \cdot 7 }\)
\(53 = 57 - 7 + \sqrt{9 }\)
\(54 = 75 - 7 \cdot \sqrt{9 }\)
\(55 = 57 + 7 - 9 \)
\(56 = ( 9 - 5 ) \cdot ( 7 + 7 )\)
\(57 = \sqrt{57^{9 - 7 }}\)
\(58 = 59 - \frac{ 7 }{ 7 }\)
\(59 = 57 - 7 + 9 \)
\(60 = \frac{ 7 }{ 7 } + 59 \)
\(61 = 57 + 7 - \sqrt{9 }\)
\(62 = 97 - 5 \cdot 7 \)
\(63 = 77 - 5 - 9 \)
\(64 = ( 5 - \frac{ 7 }{ 7 } )^{\sqrt{9 }}\)
\(65 = 75 - 7 - \sqrt{9 }\)
\(66 = \sqrt{7 \cdot 7} + 59 \)
\(67 = 79 - 5 - 7 \)
\(68 = \sqrt{7 \cdot 7} \cdot 9 + 5 \)
\(69 = 77 - 5 - \sqrt{9 }\)
\(70 = ( 9 - 7 ) \cdot 5 \cdot 7 \)
\(71 = 75 - 7 + \sqrt{9 }\)
\(72 = \sqrt{57 + 7} \cdot 9 \)
\(73 = 57 + 7 + 9 \)
\(74 = 9^{7 - 5} - 7 \)
\(75 = \sqrt{75^{9 - 7 }}\)
\(76 = 75 + 7 - \sqrt{9 }!\)
\(77 = 75 - 7 + 9 \)
\(78 = 7 \cdot \sqrt{9} + 57 \)
\(79 = 75 + 7 - \sqrt{9 }\)
\(80 = \frac{ ( \frac{ 7 }{ 7 } + 5 )! }{ 9 }\)
\(81 = 77 - 5 + 9 \)
\(82 = \frac{ 7! }{ \sqrt{9}!! } + 75 \)
\(83 = \frac{ \sqrt{9}!! }{ 5! } + 77 \)
\(84 = \frac{ 7! }{ 57 + \sqrt{9 } }\)
\(85 = 97 - 5 - 7 \)
\(86 = ( 7 + \sqrt{9}! ) \cdot 7 - 5 \)
\(87 = ( 7 + 9 ) \cdot 5 + 7 \)
\(88 = 95 - \sqrt{7 \cdot 7 }\)
\(89 = ( 7 + 7 ) \cdot \sqrt{9}! + 5 \)
\(90 = ( 5 + 7 ) \cdot 7 + \sqrt{9 }!\)
\(91 = 75 + 7 + 9 \)
\(92 = 5 \cdot \sqrt{9} + 77 \)
\(93 = ( 5 + 7 ) \cdot 7 + 9 \)
\(94 = 95 - \frac{ 7 }{ 7 }\)
\(95 = 95 - 7 + 7 \)
\(96 = \frac{ 7 }{ 7 } + 95 \)
\(97 = \sqrt{97^{7 - 5 }}\)
\(98 = 5 \cdot 7 + 7 \cdot 9 \)
\(99 = 97 - 5 + 7 \)
\(100 = ( 7 + \sqrt{9} )^{7 - 5 }\)