All 100 targets have a solution.
\(1 = ( 445 \cdot 0 )!\)
\(2 = \frac{ \frac{ 40 }{ 4 } }{ 5 }\)
\(3 = 4 - 45^{0 }\)
\(4 = \frac{ 40 }{ 5 } - 4 \)
\(5 = 45 - 40 \)
\(6 = 50 - 44 \)
\(7 = \sqrt{40 + 4 + 5 }\)
\(8 = 40 - \sqrt{4}^{5 }\)
\(9 = \frac{ 44 + 0! }{ 5 }\)
\(10 = \frac{ 40 }{ 5 } + \sqrt{4 }\)
\(11 = \sqrt{40 - 4} + 5 \)
\(12 = \frac{ 40 }{ 5 } + 4 \)
\(13 = \frac{ 50 + \sqrt{4} }{ 4 }\)
\(14 = 54 - 40 \)
\(15 = \frac{ 40 }{ 4 } + 5 \)
\(16 = \frac{ 40 \cdot \sqrt{4} }{ 5 }\)
\(17 = 5^{0} + 4 \cdot 4 \)
\(18 = \frac{ 54 }{ 4 - 0 ! }\)
\(19 = 4 \cdot 5 - 4^{0 }\)
\(20 = 40 - 4 \cdot 5 \)
\(21 = \frac{ 504 }{ 4 ! }\)
\(22 = 50 - 4! - 4 \)
\(23 = 4! - 45^{0 }\)
\(24 = ( \frac{ 40 }{ 5 } - 4 )!\)
\(25 = \frac{ 40 }{ \sqrt{4} } + 5 \)
\(26 = \frac{ 50 + \sqrt{4} }{ \sqrt{4 } }\)
\(27 = \frac{ 50 + 4 }{ \sqrt{4 } }\)
\(28 = 50 - 4! + \sqrt{4 }\)
\(29 = \frac{ 50 }{ \sqrt{4} } + 4 \)
\(30 = \sqrt{450 \cdot \sqrt{4 }}\)
\(31 = 40 - 4 - 5 \)
\(32 = \frac{ 40 \cdot 4 }{ 5 }\)
\(33 = 40 - \sqrt{4} - 5 \)
\(34 = 50 - 4 \cdot 4 \)
\(35 = \sqrt{40^{\sqrt{4}}} - 5 \)
\(36 = ( 0 + 4 + 5 ) \cdot 4 \)
\(37 = 40 + \sqrt{4} - 5 \)
\(38 = 44 - 0! - 5 \)
\(39 = 40 + 4 - 5 \)
\(40 = ( 5 - 4 ) \cdot 40 \)
\(41 = 40 - 4 + 5 \)
\(42 = 50 - 4 - 4 \)
\(43 = 44 - 5^{0 }\)
\(44 = 0 \cdot 5 + 44 \)
\(45 = 5^{0} + 44 \)
\(46 = 4^{0} + 45 \)
\(47 = 40 + \sqrt{4} + 5 \)
\(48 = 44 - 0! + 5 \)
\(49 = 40 + 4 + 5 \)
\(50 = \frac{ 40 }{ 4 } \cdot 5 \)
\(51 = \frac{ 4 }{ 4 } + 50 \)
\(52 = 50 - \sqrt{4} + 4 \)
\(53 = 54 - 4^{0 }\)
\(54 = 0 \cdot 4 + 54 \)
\(55 = 4^{0} + 54 \)
\(56 = 50 + \sqrt{4} + 4 \)
\(57 = 54 - 0! + 4 \)
\(58 = 50 + 4 + 4 \)
\(59 = 40 + 4! - 5 \)
\(60 = 4 \cdot 5 + 40 \)
\(61 = 4^{0} + \frac{ 5! }{ \sqrt{4 } }\)
\(62 = \frac{ 4! }{ \sqrt{4} } + 50 \)
\(63 = 4^{5 - \sqrt{4}} - 0 !\)
\(64 = 4^{\frac{ 5! }{ 40 }}\)
\(65 = 5^{\sqrt{4}} + 40 \)
\(66 = 4 \cdot 4 + 50 \)
\(67 = ( 4 - 0! ) \cdot 4! - 5 \)
\(68 = ( 5 - 0! )! + 44 \)
\(69 = 40 + 4! + 5 \)
\(70 = ( 40 - 5 ) \cdot \sqrt{4 }\)
\(71 = \sqrt{\sqrt{44 + 5}! + 0 !}\)
\(72 = \sqrt{4}^{5} + 40 \)
\(73 = ( 5 - \sqrt{4} ) \cdot 4! + 0 !\)
\(74 = \sqrt{4 \cdot 4}! + 50 \)
\(75 = 40 \cdot \sqrt{4} - 5 \)
\(76 = 5! - ( 40 + 4 )\)
\(77 = 5! - ( 44 - 0 ! )\)
\(78 = 50 + 4 + 4 !\)
\(79 = 54 + 0! + 4 !\)
\(80 = ( 40 - 4! ) \cdot 5 \)
\(81 = ( \frac{ 5! }{ 40 } )^{4 }\)
\(82 = 5! - ( 40 - \sqrt{4 } )\)
\(83 = \frac{ 5! }{ \sqrt{4} } - 0! + 4 !\)
\(84 = 5! - ( 40 - 4 )\)
\(85 = 40 + 45 \)
\(86 = ( 4 - 0! )^{4} + 5 \)
\(87 = ( 4! - 0! ) \cdot 4 - 5 \)
\(88 = \frac{ 440 }{ 5 }\)
\(89 = 45 \cdot \sqrt{4} - 0 !\)
\(90 = ( 40 + 5 ) \cdot \sqrt{4 }\)
\(91 = 45 \cdot \sqrt{4} + 0 !\)
\(92 = ( 50 - 4 ) \cdot \sqrt{4 }\)
\(93 = 5! - ( 4 - 0! + 4 ! )\)
\(94 = 40 + 54 \)
\(95 = 4 \cdot 4! - 5^{0 }\)
\(96 = 50 \cdot \sqrt{4} - 4 \)
\(97 = 5^{0} + 4 \cdot 4 !\)
\(98 = 50 + 4! + 4 !\)
\(99 = ( 4! - 4 ) \cdot 5 - 0 !\)
\(100 = \frac{ 40 }{ \sqrt{4} } \cdot 5 \)