All 100 targets have a solution.
\(1 = \frac{ \frac{ 35 }{ 5 } }{ 7 }\)
\(2 = \sqrt{57 - 53 }\)
\(3 = \frac{ \sqrt{75 \cdot 3} }{ 5 }\)
\(4 = 57 - 53 \)
\(5 = \frac{ \frac{ 75 }{ 3 } }{ 5 }\)
\(6 = \sqrt{37 - \frac{ 5 }{ 5 }}\)
\(7 = \sqrt{\frac{ 35 }{ 5 } \cdot 7 }\)
\(8 = \frac{ 55 - 7 }{ 3 ! }\)
\(9 = \frac{ 75 }{ 5 } - 3 !\)
\(10 = \frac{ 35 }{ 7 } + 5 \)
\(11 = \frac{ 5 }{ 5 } + 3 + 7 \)
\(12 = 37 - 5 \cdot 5 \)
\(13 = 37 - \frac{ 5! }{ 5 }\)
\(14 = \frac{ 35 }{ 5 } + 7 \)
\(15 = \frac{ 5! - 75 }{ 3 }\)
\(16 = \frac{ 55 - 7 }{ 3 }\)
\(17 = 57 - \frac{ 5! }{ 3 }\)
\(18 = 55 - 37 \)
\(19 = ( 5 - 3 ) \cdot 7 + 5 \)
\(20 = \frac{ 75 }{ 3 } - 5 \)
\(21 = \frac{ 5! - 57 }{ 3 }\)
\(22 = 57 - 35 \)
\(23 = 35 - 5 - 7 \)
\(24 = ( 57 - 53 )!\)
\(25 = \frac{ 35 \cdot 5 }{ 7 }\)
\(26 = 5 \cdot 5 - 3! + 7 \)
\(27 = 37 - 5 - 5 \)
\(28 = ( \frac{ 5 }{ 5 } + 3 ) \cdot 7 \)
\(29 = 5 \cdot 5 - 3 + 7 \)
\(30 = \frac{ 75 }{ 3 } + 5 \)
\(31 = 55 - ( 7 - 3 )!\)
\(32 = 37 - \sqrt{5 \cdot 5 }\)
\(33 = 35 + 5 - 7 \)
\(34 = 55 - 3 \cdot 7 \)
\(35 = 755 - 3 !!\)
\(36 = 37 - \frac{ 5 }{ 5 }\)
\(37 = 35 - 5 + 7 \)
\(38 = \frac{ 5 }{ 5 } + 37 \)
\(39 = ( 5 - 3 )^{5} + 7 \)
\(40 = 75 - 35 \)
\(41 = 53 - 5 - 7 \)
\(42 = 57 - 3 \cdot 5 \)
\(43 = 5 \cdot 7 + 3 + 5 \)
\(44 = 7^{5 - 3} - 5 \)
\(45 = 55 - 3 - 7 \)
\(46 = 57 - 3! - 5 \)
\(47 = 35 + 5 + 7 \)
\(48 = 73 - 5 \cdot 5 \)
\(49 = \frac{ 35 }{ 5 } \cdot 7 \)
\(50 = 5^{3} - 75 \)
\(51 = 53 + 5 - 7 \)
\(52 = 5! - 73 + 5 \)
\(53 = \sqrt{53^{7 - 5 }}\)
\(54 = 55 + 3! - 7 \)
\(55 = 53 - 5 + 7 \)
\(56 = 55 - 3! + 7 \)
\(57 = \sqrt{7 - 3} + 55 \)
\(58 = 57 + 3! - 5 \)
\(59 = 55 - 3 + 7 \)
\(60 = 75 - 3 \cdot 5 \)
\(61 = \frac{ 5! }{ 5 } + 37 \)
\(62 = 5 \cdot 5 + 37 \)
\(63 = 73 - 5 - 5 \)
\(64 = 75 - 3! - 5 \)
\(65 = 53 + 5 + 7 \)
\(66 = 5! - ( 57 - 3 )\)
\(67 = 75 - 3 - 5 \)
\(68 = 5^{3} - 57 \)
\(69 = 5! - ( 57 - 3 ! )\)
\(70 = ( 7 - 5 ) \cdot 35 \)
\(71 = 5! - 7^{5 - 3 }\)
\(72 = 3 \cdot 5 + 57 \)
\(73 = 73 - 5 + 5 \)
\(74 = \frac{ 5 }{ 5 } + 73 \)
\(75 = \frac{ 375 }{ 5 }\)
\(76 = 3 \cdot 7 + 55 \)
\(77 = 75 - 3 + 5 \)
\(78 = 5! - 35 - 7 \)
\(79 = \frac{ 553 }{ 7 }\)
\(80 = ( 3 \cdot 7 - 5 ) \cdot 5 \)
\(81 = \sqrt{3^{\frac{ 5 }{ 5 } + 7 }}\)
\(82 = 3 \cdot 5 \cdot 5 + 7 \)
\(83 = 73 + 5 + 5 \)
\(84 = \frac{ \sqrt{35 \cdot 7!} }{ 5 }\)
\(85 = \frac{ 3!! - 5! - 5 }{ 7 }\)
\(86 = 75 + 3! + 5 \)
\(87 = 3! \cdot 5 + 57 \)
\(88 = 5 \cdot 7 + 53 \)
\(89 = \sqrt{\frac{ 3!! }{ 5 }} \cdot 7 + 5 \)
\(90 = 3 \cdot 5 + 75 \)
\(91 = ( 3 + 5 + 5 ) \cdot 7 \)
\(92 = 35 + 57 \)
\(93 = ( \frac{ 5! }{ 5 } + 7 ) \cdot 3 \)
\(94 = 5! - ( 3 \cdot 7 + 5 )\)
\(95 = \frac{ 57 }{ 3 } \cdot 5 \)
\(96 = ( 5 \cdot 5 + 7 ) \cdot 3 \)
\(97 = 3! \cdot 7 + 55 \)
\(98 = 5 \cdot 5 + 73 \)
\(99 = \sqrt{5 \cdot 5}! - 3 \cdot 7 \)
\(100 = ( 7 - 3 ) \cdot 5 \cdot 5 \)