99 of 100 targets have a solution.
\(1 = 13 - 5 - 7 \)
\(2 = 7 - \frac{ 15 }{ 3 }\)
\(3 = \frac{ 15 + 3! }{ 7 }\)
\(4 = \frac{ 13 + 7 }{ 5 }\)
\(5 = 15 - 3 - 7 \)
\(6 = \sqrt{53 - 17 }\)
\(7 = ( 1^{3} )^{5} \cdot 7 \)
\(8 = ( 1^{3} )^{5} + 7 \)
\(9 = 17 - 3 - 5 \)
\(10 = \frac{ 51 }{ 3 } - 7 \)
\(11 = 13 + 5 - 7 \)
\(12 = \frac{ 15 }{ 3 } + 7 \)
\(13 = \sqrt{175 - 3 !}\)
\(14 = 51 - 37 \)
\(15 = 13 - 5 + 7 \)
\(16 = \frac{ 7! }{ 315 }\)
\(17 = 137 - 5 !\)
\(18 = 35 - 17 \)
\(19 = 15 - 3 + 7 \)
\(20 = \frac{ 57 }{ 3 } + 1 \)
\(21 = ( 5 - ( 3 - 1 ) ) \cdot 7 \)
\(22 = 37 - 15 \)
\(23 = \frac{ 5! }{ 3 } - 17 \)
\(24 = ( 15 - 7 ) \cdot 3 \)
\(25 = 13 + 5 + 7 \)
\(26 = 57 - 31 \)
\(27 = 35 - 1 - 7 \)
\(28 = 35 \cdot 1 - 7 \)
\(29 = 31 + 5 - 7 \)
\(30 = ( 13 - 7 ) \cdot 5 \)
\(31 = 37 - 1 - 5 \)
\(32 = 3 \cdot 5 + 17 \)
\(33 = 31 - 5 + 7 \)
\(34 = ( 5 - 3 ) \cdot 17 \)
\(35 = \frac{ 15 }{ 3 } \cdot 7 \)
\(36 = 53 - 17 \)
\(37 = 1^{5} \cdot 37 \)
\(38 = 15 \cdot 3 - 7 \)
\(39 = ( 7 - 3 )! + 15 \)
\(40 = ( 1^{3} + 7 ) \cdot 5 \)
\(41 = 35 - 1 + 7 \)
\(42 = 35 \cdot 1 + 7 \)
\(43 = 31 + 5 + 7 \)
\(44 = 57 - 13 \)
\(45 = \frac{ 315 }{ 7 }\)
\(46 = 17 \cdot 3 - 5 \)
\(47 = 51 + 3 - 7 \)
\(48 = 5 \cdot 7 + 13 \)
\(49 = 51 - \sqrt{7 - 3 }\)
\(50 = 51 + 3! - 7 \)
\(51 = ( 7 - 3! ) \cdot 51 \)
\(52 = 15 + 37 \)
\(53 = 173 - 5 !\)
\(54 = 1^{7} + 53 \)
\(55 = 51 - 3 + 7 \)
\(56 = ( 13 - 5 ) \cdot 7 \)
\(57 = 1^{3} \cdot 57 \)
\(58 = 73 - 15 \)
\(59 = 53 - 1 + 7 \)
\(60 = ( 7 - 3 ) \cdot 15 \)
\(61 = 51 + 3 + 7 \)
\(62 = 75 - 13 \)
\(63 = 71 - 3 - 5 \)
\(64 = 51 + 3! + 7 \)
\(65 = ( 5 - 1 )! \cdot 3 - 7 \)
\(66 = ( 15 + 7 ) \cdot 3 \)
\(67 = 73 - 1 - 5 \)
\(68 = 73 \cdot 1 - 5 \)
\(69 = 71 + 3 - 5 \)
\(70 = 13 + 57 \)
\(71 = 75 - 1 - 3 \)
\(72 = 13 \cdot 5 + 7 \)
\(73 = 71 - 3 + 5 \)
\(74 = 1^{5} + 73 \)
\(75 = 1^{3} \cdot 75 \)
\(76 = 1^{3} + 75 \)
\(77 = 73 - 1 + 5 \)
\(78 = 73 \cdot 1 + 5 \)
\(79 = 71 + 3 + 5 \)
\(80 = 75 - 1 + 3 !\)
\(81 = \sqrt{3^{15 - 7 }}\)
\(82 = 17 \cdot 5 - 3 \)
\(83 = 15 \cdot 3! - 7 \)
\(84 = ( 15 - 3 ) \cdot 7 \)
\(85 = ( ( 1 + 3 )! - 7 ) \cdot 5 \)
\(86 = 13 \cdot 7 - 5 \)
\(87 = \sqrt{5! \cdot 7 + 1} \cdot 3 \)
\(88 = 13 + 75 \)
\(89 = 5! - ( 1 + 3 )! - 7 \)
\(90 = ( 7 - 1 ) \cdot 3 \cdot 5 \)
\(91 = 17 \cdot 5 + 3 !\)
\(92 = 5! - ( 1 + 3 ) \cdot 7 \)
\(93 = 3! \cdot 7 + 51 \)
\(94 = ?\)
\(95 = 5! - ( ( 7 - 3 )! + 1 )\)
\(96 = 13 \cdot 7 + 5 \)
\(97 = 15 \cdot 3! + 7 \)
\(98 = ( 3 \cdot 5 - 1 ) \cdot 7 \)
\(99 = 15 \cdot 7 - 3 !\)
\(100 = ( 13 + 7 ) \cdot 5 \)