98 of 100 targets have a solution.
\(1 = 15^{3 - 3 }\)
\(2 = \sqrt{35 - 31 }\)
\(3 = \frac{ 13 + 5 }{ 3 ! }\)
\(4 = 35 - 31 \)
\(5 = 13 - 3 - 5 \)
\(6 = \frac{ 13 + 5 }{ 3 }\)
\(7 = \frac{ 15 + 3! }{ 3 }\)
\(8 = \frac{ 15 }{ 3 } + 3 \)
\(9 = 15 - 3 - 3 \)
\(10 = ( 3 - 1^{3} ) \cdot 5 \)
\(11 = 13 + 3 - 5 \)
\(12 = 3^{3} - 15 \)
\(13 = 133 - 5 !\)
\(14 = 15 - \frac{ 3 }{ 3 }\)
\(15 = 13 - 3 + 5 \)
\(16 = \frac{ 3 }{ 3 } + 15 \)
\(17 = 3! \cdot 5 - 13 \)
\(18 = 33 - 15 \)
\(19 = \frac{ 51 + 3! }{ 3 }\)
\(20 = \frac{ 51 }{ 3 } + 3 \)
\(21 = 13 + 3 + 5 \)
\(22 = 35 - 13 \)
\(23 = 31 - 3 - 5 \)
\(24 = ( 35 - 31 )!\)
\(25 = 5^{3 - 1^{3 }}\)
\(26 = ( 5 - 3 ) \cdot 13 \)
\(27 = 33 - 1 - 5 \)
\(28 = 3 \cdot 5 + 13 \)
\(29 = 31 + 3 - 5 \)
\(30 = \frac{ 15 }{ 3 } \cdot 3 !\)
\(31 = 35 - 1 - 3 \)
\(32 = 33 - 1^{5 }\)
\(33 = 31 - 3 + 5 \)
\(34 = 13 \cdot 3 - 5 \)
\(35 = 1^{3} \cdot 35 \)
\(36 = ( 15 - 3 ) \cdot 3 \)
\(37 = 33 - 1 + 5 \)
\(38 = 33 \cdot 1 + 5 \)
\(39 = 31 + 3 + 5 \)
\(40 = 53 - 13 \)
\(41 = 35 \cdot 1 + 3 !\)
\(42 = 15 \cdot 3 - 3 \)
\(43 = 3! \cdot 5 + 13 \)
\(44 = 13 \cdot 3 + 5 \)
\(45 = \frac{ 135 }{ 3 }\)
\(46 = 3 \cdot 5 + 31 \)
\(47 = 53 \cdot 1 - 3 !\)
\(48 = 13 + 35 \)
\(49 = 53 - 1 - 3 \)
\(50 = ( 13 - 3 ) \cdot 5 \)
\(51 = \frac{ 153 }{ 3 }\)
\(52 = \frac{ 3 }{ 3 } + 51 \)
\(53 = 1^{3} \cdot 53 \)
\(54 = ( 13 + 5 ) \cdot 3 \)
\(55 = 53 - 1 + 3 \)
\(56 = 53 \cdot 1 + 3 \)
\(57 = 51 + 3 + 3 \)
\(58 = 53 - 1 + 3 !\)
\(59 = 13 \cdot 5 - 3 !\)
\(60 = 3 \cdot 3 + 51 \)
\(61 = 3! \cdot 5 + 31 \)
\(62 = 13 \cdot 5 - 3 \)
\(63 = ( 15 + 3! ) \cdot 3 \)
\(64 = ( 5 - 1^{3} )^{3 }\)
\(65 = ( 5 - 3 )^{3!} + 1 \)
\(66 = 13 + 53 \)
\(67 = ( 5 - 1 )^{3} + 3 \)
\(68 = 13 \cdot 5 + 3 \)
\(69 = 3 \cdot 3! + 51 \)
\(70 = ( 3 - 1 ) \cdot 35 \)
\(71 = 13 \cdot 5 + 3 !\)
\(72 = ( 15 - 3 ) \cdot 3 !\)
\(73 = 13 \cdot 3! - 5 \)
\(74 = ?\)
\(75 = 5^{3 - 1} \cdot 3 \)
\(76 = 3^{1 + 3} - 5 \)
\(77 = ( 1 + 3 )! + 53 \)
\(78 = ( 31 - 5 ) \cdot 3 \)
\(79 = ?\)
\(80 = ( 13 + 3 ) \cdot 5 \)
\(81 = 5! - 13 \cdot 3 \)
\(82 = \frac{ 3^{5} }{ 3 } + 1 \)
\(83 = 13 \cdot 3! + 5 \)
\(84 = 31 + 53 \)
\(85 = ( 3! - 1 )! - 35 \)
\(86 = 5! - ( 31 + 3 )\)
\(87 = 15 \cdot 3! - 3 \)
\(88 = 31 \cdot 3 - 5 \)
\(89 = 3 \cdot 3! \cdot 5 - 1 \)
\(90 = ( 3 + 3 ) \cdot 15 \)
\(91 = 3 \cdot 3! \cdot 5 + 1 \)
\(92 = 5! - ( 31 - 3 )\)
\(93 = 15 \cdot 3! + 3 \)
\(94 = 5^{3} - 31 \)
\(95 = ( 13 + 3! ) \cdot 5 \)
\(96 = ( 3 - 1 )^{5} \cdot 3 \)
\(97 = 3!^{3} + 1 - 5 !\)
\(98 = 31 \cdot 3 + 5 \)
\(99 = 5! - ( ( 1 + 3 )! - 3 )\)
\(100 = \frac{ ( 3! - 1 )! }{ 3! } \cdot 5 \)