All 100 targets have a solution.
\(1 = 2 \cdot 7 - 13 \)
\(2 = \sqrt{31 - 27 }\)
\(3 = 7 - \frac{ 12 }{ 3 }\)
\(4 = 31 - 27 \)
\(5 = \sqrt{37 - 12 }\)
\(6 = 23 - 17 \)
\(7 = \sqrt{12 + 37 }\)
\(8 = 12 + 3 - 7 \)
\(9 = 3 \cdot 7 - 12 \)
\(10 = \frac{ 13 + 7 }{ 2 }\)
\(11 = \frac{ 12 }{ 3 } + 7 \)
\(12 = ( 13 - 7 ) \cdot 2 \)
\(13 = \sqrt{172 - 3 }\)
\(14 = 27 - 13 \)
\(15 = 32 - 17 \)
\(16 = 37 - 21 \)
\(17 = ( 3 - 2 ) \cdot 17 \)
\(18 = 13 - 2 + 7 \)
\(19 = 13 \cdot 2 - 7 \)
\(20 = \sqrt{13^{2}} + 7 \)
\(21 = \sqrt{12 - 3} \cdot 7 \)
\(22 = 12 + 3 + 7 \)
\(23 = 2 \cdot 3 + 17 \)
\(24 = ( 31 - 27 )!\)
\(25 = 37 - 12 \)
\(26 = 3^{2} + 17 \)
\(27 = \sqrt{731 - 2 }\)
\(28 = \frac{ 12 }{ 3 } \cdot 7 \)
\(29 = 12 \cdot 3 - 7 \)
\(30 = 23 \cdot 1 + 7 \)
\(31 = 17 \cdot 2 - 3 \)
\(32 = 1^{7} \cdot 32 \)
\(33 = \frac{ 231 }{ 7 }\)
\(34 = 37 - 1 - 2 \)
\(35 = 37 \cdot 1 - 2 \)
\(36 = ( 13 - 7 )^{2 }\)
\(37 = 17 \cdot 2 + 3 \)
\(38 = 32 - 1 + 7 \)
\(39 = 71 - 32 \)
\(40 = 13 + 27 \)
\(41 = 72 - 31 \)
\(42 = ( 21 - 7 ) \cdot 3 \)
\(43 = 12 \cdot 3 + 7 \)
\(44 = ( 3 \cdot 7 + 1 ) \cdot 2 \)
\(45 = ( 17 - 2 ) \cdot 3 \)
\(46 = ( 17 + 3! ) \cdot 2 \)
\(47 = 2^{3!} - 17 \)
\(48 = 71 - 23 \)
\(49 = 12 + 37 \)
\(50 = 1^{3} + 7^{2 }\)
\(51 = \sqrt{17^{2}} \cdot 3 \)
\(52 = 73 - 21 \)
\(53 = 17 \cdot 3 + 2 \)
\(54 = ( 3 - 1 ) \cdot 27 \)
\(55 = 31 \cdot 2 - 7 \)
\(56 = 21 \cdot 3 - 7 \)
\(57 = ( 12 + 7 ) \cdot 3 \)
\(58 = 21 + 37 \)
\(59 = 72 - 13 \)
\(60 = ( 1 + 2 + 7 ) \cdot 3 !\)
\(61 = \sqrt{3721 }\)
\(62 = 7^{2} + 13 \)
\(63 = ( 12 - 3 ) \cdot 7 \)
\(64 = 2^{13 - 7 }\)
\(65 = ( 7 - 2 ) \cdot 13 \)
\(66 = 71 - 2 - 3 \)
\(67 = 71 + 2 - 3 !\)
\(68 = 72 - 1 - 3 \)
\(69 = 31 \cdot 2 + 7 \)
\(70 = 21 \cdot 3 + 7 \)
\(71 = ( 3 - 2 ) \cdot 71 \)
\(72 = ( 37 - 1 ) \cdot 2 \)
\(73 = 37 \cdot 2 - 1 \)
\(74 = 37 \cdot 1 \cdot 2 \)
\(75 = 37 \cdot 2 + 1 \)
\(76 = ( 31 + 7 ) \cdot 2 \)
\(77 = ( 13 - 2 ) \cdot 7 \)
\(78 = ( 27 - 1 ) \cdot 3 \)
\(79 = 2^{3} + 71 \)
\(80 = 27 \cdot 3 - 1 \)
\(81 = 12 \cdot 7 - 3 \)
\(82 = 27 \cdot 3 + 1 \)
\(83 = 2 \cdot 3! + 71 \)
\(84 = ( 21 + 7 ) \cdot 3 \)
\(85 = 12 + 73 \)
\(86 = ( 3! \cdot 7 + 1 ) \cdot 2 \)
\(87 = 12 \cdot 7 + 3 \)
\(88 = \frac{ 3!! }{ 1 + 7 } - 2 \)
\(89 = 13 \cdot 7 - 2 \)
\(90 = 12 \cdot 7 + 3 !\)
\(91 = \sqrt{13^{2}} \cdot 7 \)
\(92 = \frac{ 3!! }{ 1 + 7 } + 2 \)
\(93 = 13 \cdot 7 + 2 \)
\(94 = 21 + 73 \)
\(95 = ( 3! - 2 )! + 71 \)
\(96 = ( 1 + 3 )! + 72 \)
\(97 = 2^{7} - 31 \)
\(98 = 7^{3 - 1} \cdot 2 \)
\(99 = ( 3 + 7 )^{2} - 1 \)
\(100 = 17 \cdot 3! - 2 \)