99 of 100 targets have a solution.
\(1 = \frac{ 45 }{ 45 }\)
\(2 = \sqrt{44 + 5} - 5 \)
\(3 = \sqrt{54 - 45 }\)
\(4 = 5 - 5^{4 - 4 }\)
\(5 = \frac{ 45 }{ 5 } - 4 \)
\(6 = \frac{ 54 }{ 4 + 5 }\)
\(7 = \sqrt{\frac{ 45 }{ 5 }} + 4 \)
\(8 = 4 + 4 - 5 + 5 \)
\(9 = 54 - 45 \)
\(10 = \frac{ 45 - 5 }{ 4 }\)
\(11 = 55 - 44 \)
\(12 = \sqrt{44 + 5} + 5 \)
\(13 = \frac{ 45 }{ 5 } + 4 \)
\(14 = \sqrt{( 54 - 5 ) \cdot 4 }\)
\(15 = \sqrt{44 \cdot 5 + 5 }\)
\(16 = 45 - 4! - 5 \)
\(17 = 5 \cdot 5 - 4 - 4 \)
\(18 = \frac{ 45 \cdot \sqrt{4} }{ 5 }\)
\(19 = 44 - 5 \cdot 5 \)
\(20 = 44 - \frac{ 5! }{ 5 }\)
\(21 = 4 \cdot 5 - 4 + 5 \)
\(22 = \frac{ 54 }{ \sqrt{4} } - 5 \)
\(23 = ( 4 + 5 ) \cdot \sqrt{4} + 5 \)
\(24 = 54 - \frac{ 5! }{ 4 }\)
\(25 = 45 - 4 \cdot 5 \)
\(26 = 45 - 4! + 5 \)
\(27 = 55 - 4! - 4 \)
\(28 = \sqrt{54 - 5} \cdot 4 \)
\(29 = 54 - 5^{\sqrt{4 }}\)
\(30 = \sqrt{45 \cdot 4 \cdot 5 }\)
\(31 = ( 4 + 5 ) \cdot 4 - 5 \)
\(32 = \frac{ 54 }{ \sqrt{4} } + 5 \)
\(33 = \frac{ 45 }{ 5 } + 4 !\)
\(34 = 44 - 5 - 5 \)
\(35 = \sqrt{44 + 5} \cdot 5 \)
\(36 = 45 - 4 - 5 \)
\(37 = ( 4 - \sqrt{4} )^{5} + 5 \)
\(38 = 45 - \sqrt{4} - 5 \)
\(39 = 55 - 4 \cdot 4 \)
\(40 = 4 \cdot 5 + 4 \cdot 5 \)
\(41 = 4 \cdot 4! - 55 \)
\(42 = 45 + \sqrt{4} - 5 \)
\(43 = 44 - \frac{ 5 }{ 5 }\)
\(44 = 44 - 5 + 5 \)
\(45 = \sqrt{45 \cdot 45 }\)
\(46 = 45 - 4 + 5 \)
\(47 = 55 - 4 - 4 \)
\(48 = 45 - \sqrt{4} + 5 \)
\(49 = \sqrt{5 \cdot 5} + 44 \)
\(50 = \sqrt{45^{\sqrt{4}}} + 5 \)
\(51 = 54 + \sqrt{4} - 5 \)
\(52 = 45 + \sqrt{4} + 5 \)
\(53 = 54 + 4 - 5 \)
\(54 = \sqrt{54 \cdot 54 }\)
\(55 = 54 - 4 + 5 \)
\(56 = \frac{ 4 }{ 4 } + 55 \)
\(57 = 54 - \sqrt{4} + 5 \)
\(58 = ( 5 \cdot 5 + 4 ) \cdot \sqrt{4 }\)
\(59 = \sqrt{4 \cdot 4} + 55 \)
\(60 = 45 \cdot 4 - 5 !\)
\(61 = 54 + \sqrt{4} + 5 \)
\(62 = 5! - ( 54 + 4 )\)
\(63 = 54 + 4 + 5 \)
\(64 = 45 + 4! - 5 \)
\(65 = 4 \cdot 5 + 45 \)
\(66 = 4! \cdot 5 - 54 \)
\(67 = \frac{ 4! }{ \sqrt{4} } + 55 \)
\(68 = \frac{ 5! }{ 5 } + 44 \)
\(69 = 5 \cdot 5 + 44 \)
\(70 = 5^{\sqrt{4}} + 45 \)
\(71 = 4 \cdot 4 + 55 \)
\(72 = \sqrt{\frac{ 45 }{ 5 }} \cdot 4 !\)
\(73 = 54 + 4! - 5 \)
\(74 = 4 \cdot 5 + 54 \)
\(75 = \frac{ 5! }{ 4 } + 45 \)
\(76 = \sqrt{5 \cdot 5}! - 44 \)
\(77 = \sqrt{4}^{5} + 45 \)
\(78 = ?\)
\(79 = 5! - ( 45 - 4 )\)
\(80 = ( 45 - 5 ) \cdot \sqrt{4 }\)
\(81 = 5! - ( 44 - 5 )\)
\(82 = 5! - ( 4! - 5 ) \cdot \sqrt{4 }\)
\(83 = 54 + 4! + 5 \)
\(84 = \frac{ 5! }{ 4 } + 54 \)
\(85 = 45 \cdot \sqrt{4} - 5 \)
\(86 = \sqrt{4}^{5} + 54 \)
\(87 = \frac{ 54 + 5! }{ \sqrt{4 } }\)
\(88 = 5! - ( 4 - \sqrt{4} )^{5 }\)
\(89 = \frac{ 445 }{ 5 }\)
\(90 = 45 + 45 \)
\(91 = ( 4! - 5 ) \cdot 5 - 4 \)
\(92 = ( 4! - \frac{ 5 }{ 5 } ) \cdot 4 \)
\(93 = 5! - \frac{ 54 }{ \sqrt{4 } }\)
\(94 = 5! - ( \frac{ 5! }{ 4 } - 4 )\)
\(95 = 45 \cdot \sqrt{4} + 5 \)
\(96 = 54 \cdot 4 - 5 !\)
\(97 = 4 \cdot 4! + \frac{ 5 }{ 5 }\)
\(98 = ( 54 - 5 ) \cdot \sqrt{4 }\)
\(99 = 44 + 55 \)
\(100 = 44 \cdot 5 - 5 !\)