99 of 100 targets have a solution.
\(1 = ( 444 \cdot 0 )!\)
\(2 = \sqrt{44 - 40 }\)
\(3 = 4 - 44^{0 }\)
\(4 = 44 - 40 \)
\(5 = \frac{ 40 }{ 4 + 4 }\)
\(6 = \frac{ 40 }{ 4 } - 4 \)
\(7 = 4 - 4^{0} + 4 \)
\(8 = \frac{ 40 }{ 4 } - \sqrt{4 }\)
\(9 = \frac{ 40 - 4 }{ 4 }\)
\(10 = \sqrt{40 - 4} + 4 \)
\(11 = \frac{ 40 + 4 }{ 4 }\)
\(12 = \frac{ 40 }{ 4 } + \sqrt{4 }\)
\(13 = 0! + 4 + 4 + 4 \)
\(14 = \frac{ 40 }{ 4 } + 4 \)
\(15 = 4 \cdot 4 - 4^{0 }\)
\(16 = \frac{ 40 }{ \sqrt{4} } - 4 \)
\(17 = 4^{0} + 4 \cdot 4 \)
\(18 = \frac{ 40 - 4 }{ \sqrt{4 } }\)
\(19 = \frac{ 40 - \sqrt{4} }{ \sqrt{4 } }\)
\(20 = \sqrt{404 - 4 }\)
\(21 = \frac{ 40 + \sqrt{4} }{ \sqrt{4 } }\)
\(22 = \frac{ 40 + 4 }{ \sqrt{4 } }\)
\(23 = 4! - 44^{0 }\)
\(24 = ( 44 - 40 )!\)
\(25 = 44^{0} + 4 !\)
\(26 = 0 \cdot 4 + \sqrt{4} + 4 !\)
\(27 = 4 - 4^{0} + 4 !\)
\(28 = 40 - \frac{ 4! }{ \sqrt{4 } }\)
\(29 = 4^{0} + 4 + 4 !\)
\(30 = \sqrt{40 - 4} + 4 !\)
\(31 = ( 4 + 4 ) \cdot 4 - 0 !\)
\(32 = 40 - 4 - 4 \)
\(33 = ( 4 + 4 ) \cdot 4 + 0 !\)
\(34 = \frac{ 40 }{ 4 } + 4 !\)
\(35 = ( \sqrt{4} + 4 )^{\sqrt{4}} - 0 !\)
\(36 = 40 - \sqrt{4 \cdot 4 }\)
\(37 = ( \sqrt{4} + 4 )^{\sqrt{4}} + 0 !\)
\(38 = 40 - 4 + \sqrt{4 }\)
\(39 = 40 - \frac{ 4 }{ 4 }\)
\(40 = \frac{ 40 }{ 4 } \cdot 4 \)
\(41 = \frac{ 4 }{ 4 } + 40 \)
\(42 = 40 - \sqrt{4} + 4 \)
\(43 = 44 - 4^{0 }\)
\(44 = 0 \cdot 4 + 44 \)
\(45 = 4^{0} + 44 \)
\(46 = 40 + \sqrt{4} + 4 \)
\(47 = 44 - 0! + 4 \)
\(48 = 40 + 4 + 4 \)
\(49 = 44 + 0! + 4 \)
\(50 = ( 4 - 0! )! + 44 \)
\(51 = 4 - 0! + 4! + 4 !\)
\(52 = \frac{ 4! }{ \sqrt{4} } + 40 \)
\(53 = 0! + 4 + 4! + 4 !\)
\(54 = ( 4 - 0! + 4! ) \cdot \sqrt{4 }\)
\(55 = ( 4 + 4! ) \cdot \sqrt{4} - 0 !\)
\(56 = 4 \cdot 4 + 40 \)
\(57 = ( 4 - 0! )^{4} - 4 !\)
\(58 = ( 0! + 4 + 4! ) \cdot \sqrt{4 }\)
\(59 = \frac{ ( 0! + 4 )! - \sqrt{4} }{ \sqrt{4 } }\)
\(60 = 40 - 4 + 4 !\)
\(61 = \frac{ ( 0! + 4 )! + \sqrt{4} }{ \sqrt{4 } }\)
\(62 = 40 - \sqrt{4} + 4 !\)
\(63 = 4 \cdot 4 \cdot 4 - 0 !\)
\(64 = ( 40 - 4! ) \cdot 4 \)
\(65 = 4 \cdot 4 \cdot 4 + 0 !\)
\(66 = 40 + \sqrt{4} + 4 !\)
\(67 = 44 - 0! + 4 !\)
\(68 = 40 + 4 + 4 !\)
\(69 = 44 + 0! + 4 !\)
\(70 = ( 4 - 0! ) \cdot 4! - \sqrt{4 }\)
\(71 = 4 \cdot 4! - 0! - 4 !\)
\(72 = ( 40 - 4 ) \cdot \sqrt{4 }\)
\(73 = 4 \cdot 4! + 0! - 4 !\)
\(74 = ( 4 - 0! ) \cdot 4! + \sqrt{4 }\)
\(75 = ?\)
\(76 = 40 \cdot \sqrt{4} - 4 \)
\(77 = ( 4 - 0! )^{4} - 4 \)
\(78 = 40 \cdot \sqrt{4} - \sqrt{4 }\)
\(79 = ( 4 - 0! )^{4} - \sqrt{4 }\)
\(80 = \frac{ 40 }{ \sqrt{4} } \cdot 4 \)
\(81 = ( 4 - 4^{0} )^{4 }\)
\(82 = 40 \cdot \sqrt{4} + \sqrt{4 }\)
\(83 = ( 4 - 0! )^{4} + \sqrt{4 }\)
\(84 = 40 + 44 \)
\(85 = ( 4 - 0! )^{4} + 4 \)
\(86 = ( 44 - 0! ) \cdot \sqrt{4 }\)
\(87 = 44 \cdot \sqrt{4} - 0 !\)
\(88 = ( 40 + 4 ) \cdot \sqrt{4 }\)
\(89 = 44 \cdot \sqrt{4} + 0 !\)
\(90 = ( 44 + 0! ) \cdot \sqrt{4 }\)
\(91 = 4 \cdot 4! - 0! - 4 \)
\(92 = ( 4! - 4^{0} ) \cdot 4 \)
\(93 = 4 \cdot 4! + 0! - 4 \)
\(94 = ( 0 + 4 ) \cdot 4! - \sqrt{4 }\)
\(95 = 4 \cdot 4! - 4^{0 }\)
\(96 = ( 0 \cdot 4 + 4 ) \cdot 4 !\)
\(97 = 4^{0} + 4 \cdot 4 !\)
\(98 = ( 0 + 4 ) \cdot 4! + \sqrt{4 }\)
\(99 = 4 \cdot 4! - 0! + 4 \)
\(100 = ( \frac{ 40 }{ 4 } )^{\sqrt{4 }}\)