All 100 targets have a solution.
\(1 = 53 - 52 \)
\(2 = 5 \cdot 5 - 23 \)
\(3 = 35 - 2^{5 }\)
\(4 = \frac{ \sqrt{25} }{ 5 } + 3 \)
\(5 = \frac{ 5^{3} }{ 25 }\)
\(6 = ( 35 - 2^{5 } )!\)
\(7 = \frac{ 35 }{ \sqrt{25 } }\)
\(8 = \frac{ 25 }{ 5 } + 3 \)
\(9 = \frac{ 35 }{ 5 } + 2 \)
\(10 = 35 - 25 \)
\(11 = \frac{ 52 + 3 }{ 5 }\)
\(12 = \sqrt{52 - 3} + 5 \)
\(13 = 23 - 5 - 5 \)
\(14 = \frac{ 35 \cdot 2 }{ 5 }\)
\(15 = \frac{ 25 \cdot 3 }{ 5 }\)
\(16 = 2 \cdot 3 + 5 + 5 \)
\(17 = 52 - 35 \)
\(18 = 23 - \sqrt{5 \cdot 5 }\)
\(19 = \frac{ 52 + 5 }{ 3 }\)
\(20 = \frac{ 35 + 5 }{ 2 }\)
\(21 = 53 - 2^{5 }\)
\(22 = 23 - \frac{ 5 }{ 5 }\)
\(23 = 55 - 32 \)
\(24 = \frac{ 5 }{ 5 } + 23 \)
\(25 = 35 - 2 \cdot 5 \)
\(26 = \frac{ 52 }{ 5 - 3 }\)
\(27 = 25 - 3 + 5 \)
\(28 = 53 - 25 \)
\(29 = \frac{ 53 + 5 }{ 2 }\)
\(30 = 35 - \sqrt{25 }\)
\(31 = 32 - \frac{ 5 }{ 5 }\)
\(32 = 55 - 23 \)
\(33 = 23 + 5 + 5 \)
\(34 = 2^{5} - 3 + 5 \)
\(35 = \sqrt{52 - 3} \cdot 5 \)
\(36 = 25 + 3! + 5 \)
\(37 = 52 - 3 \cdot 5 \)
\(38 = 35 - 2 + 5 \)
\(39 = \frac{ 5! - ( 5 - 2 ) }{ 3 }\)
\(40 = \sqrt{25} + 35 \)
\(41 = ( 5 - 2 )! + 35 \)
\(42 = 32 + 5 + 5 \)
\(43 = 53 - 2 \cdot 5 \)
\(44 = 52 - 3 - 5 \)
\(45 = 2 \cdot 5 + 35 \)
\(46 = 53 - 2 - 5 \)
\(47 = \frac{ 235 }{ 5 }\)
\(48 = 53 - \sqrt{25 }\)
\(49 = ( \frac{ 35 }{ 5 } )^{2 }\)
\(50 = ( 5 - 3 ) \cdot 25 \)
\(51 = 52 - 3! + 5 \)
\(52 = ( 3! - 5 ) \cdot 52 \)
\(53 = 52 + 3! - 5 \)
\(54 = 52 - 3 + 5 \)
\(55 = ( 3 - 2 ) \cdot 55 \)
\(56 = 53 - 2 + 5 \)
\(57 = 5 \cdot 5 + 32 \)
\(58 = \sqrt{25} + 53 \)
\(59 = ( 5 - 2 )! + 53 \)
\(60 = 25 + 35 \)
\(61 = 2 \cdot 3 + 55 \)
\(62 = 5! - ( 52 + 3 ! )\)
\(63 = 2 \cdot 5 + 53 \)
\(64 = 3^{2} + 55 \)
\(65 = \frac{ 325 }{ 5 }\)
\(66 = ( \frac{ 5! }{ 5 } - 2 ) \cdot 3 \)
\(67 = 2^{5} + 35 \)
\(68 = \frac{ 5! }{ 2 } + 3 + 5 \)
\(69 = 5! - ( 53 - 2 )\)
\(70 = 25 \cdot 3 - 5 \)
\(71 = 5! - ( 52 - 3 )\)
\(72 = \frac{ \sqrt{25}! \cdot 3 }{ 5 }\)
\(73 = 5^{3} - 52 \)
\(74 = 5! - ( 52 - 3 ! )\)
\(75 = 35 \cdot 2 + 5 \)
\(76 = \sqrt{\sqrt{\sqrt{3^{2^{5}}}}} - 5 \)
\(77 = 3 \cdot 5 \cdot 5 + 2 \)
\(78 = 23 + 55 \)
\(79 = ( 3! - 2 )! + 55 \)
\(80 = 25 \cdot 3 + 5 \)
\(81 = ( 2^{5} - 5 ) \cdot 3 \)
\(82 = 3! \cdot 5 + 52 \)
\(83 = 5! - ( 32 + 5 )\)
\(84 = 5! - ( 5 - 2 )! \cdot 3 !\)
\(85 = \frac{ 255 }{ 3 }\)
\(86 = \sqrt{\sqrt{\sqrt{3^{2^{5}}}}} + 5 \)
\(87 = 32 + 55 \)
\(88 = \sqrt{5 \cdot 5}! - 32 \)
\(89 = 5! - ( 25 + 3 ! )\)
\(90 = ( 23 - 5 ) \cdot 5 \)
\(91 = 3!^{2} + 55 \)
\(92 = \frac{ 552 }{ 3 ! }\)
\(93 = 5! - ( 32 - 5 )\)
\(94 = ( 5 + 5 )^{2} - 3 !\)
\(95 = ( 25 - 3! ) \cdot 5 \)
\(96 = ( 53 - 5 ) \cdot 2 \)
\(97 = ( 5 + 5 )^{2} - 3 \)
\(98 = 5! - ( 25 - 3 )\)
\(99 = 5! - ( 2 + 5 ) \cdot 3 \)
\(100 = 5^{3} - 25 \)