All 100 targets have a solution.
\(1 = ( 344 \cdot 0 )!\)
\(2 = 3 - 44^{0 }\)
\(3 = 43 - 40 \)
\(4 = 34 \cdot 0 + 4 \)
\(5 = 34^{0} + 4 \)
\(6 = 40 - 34 \)
\(7 = \frac{ 40 }{ 4 } - 3 \)
\(8 = \frac{ 30 + \sqrt{4} }{ 4 }\)
\(9 = \sqrt{40 - 4} + 3 \)
\(10 = 30 - 4! + 4 \)
\(11 = \frac{ 30 }{ \sqrt{4} } - 4 \)
\(12 = \frac{ 40 - 4 }{ 3 }\)
\(13 = \frac{ 40 }{ 4 } + 3 \)
\(14 = 44 - 30 \)
\(15 = \frac{ 30 \cdot \sqrt{4} }{ 4 }\)
\(16 = \frac{ 40 }{ 4 } + 3 !\)
\(17 = \frac{ 30 + 4 }{ \sqrt{4 } }\)
\(18 = \sqrt{40 - 4} \cdot 3 \)
\(19 = \frac{ 30 }{ \sqrt{4} } + 4 \)
\(20 = \frac{ 40 }{ 3! - 4 }\)
\(21 = \frac{ 43 - 0! }{ \sqrt{4 } }\)
\(22 = 30 - 4 - 4 \)
\(23 = 4! - 34^{0 }\)
\(24 = 4^{3} - 40 \)
\(25 = 34^{0} + 4 !\)
\(26 = 30 - \sqrt{4 \cdot 4 }\)
\(27 = ( 4 - 4^{0} )^{3 }\)
\(28 = 40 - 3 \cdot 4 \)
\(29 = 30 - \frac{ 4 }{ 4 }\)
\(30 = 30 - 4 + 4 \)
\(31 = \frac{ 4 }{ 4 } + 30 \)
\(32 = 30 - \sqrt{4} + 4 \)
\(33 = 34 - 4^{0 }\)
\(34 = 0 \cdot 4 + 34 \)
\(35 = 4^{0} + 34 \)
\(36 = 30 + \sqrt{4} + 4 \)
\(37 = 34 - 0! + 4 \)
\(38 = 30 + 4 + 4 \)
\(39 = 40 + 3 - 4 \)
\(40 = ( 4 - 3 ) \cdot 40 \)
\(41 = 40 - 3 + 4 \)
\(42 = 43 - 4^{0 }\)
\(43 = 0 \cdot 4 + 43 \)
\(44 = 4^{0} + 43 \)
\(45 = 3^{0} + 44 \)
\(46 = 4 \cdot 4 + 30 \)
\(47 = 40 + 3 + 4 \)
\(48 = ( 40 - 4! ) \cdot 3 \)
\(49 = 3^{\sqrt{4}} + 40 \)
\(50 = 30 - 4 + 4 !\)
\(51 = 44 + 0! + 3 !\)
\(52 = 3 \cdot 4 + 40 \)
\(53 = ( 0! + 3! )^{\sqrt{4}} + 4 \)
\(54 = \sqrt{4 \cdot 4}! + 30 \)
\(55 = ( 3 + 4! ) \cdot \sqrt{4} + 0 !\)
\(56 = 30 \cdot \sqrt{4} - 4 \)
\(57 = 34 - 0! + 4 !\)
\(58 = 30 + 4 + 4 !\)
\(59 = 34 + 0! + 4 !\)
\(60 = \frac{ 30 }{ \sqrt{4} } \cdot 4 \)
\(61 = 40 - 3 + 4 !\)
\(62 = 30 \cdot \sqrt{4} + \sqrt{4 }\)
\(63 = 4^{3} - 4^{0 }\)
\(64 = 30 \cdot \sqrt{4} + 4 \)
\(65 = 4^{0} + 4^{3 }\)
\(66 = 4 \cdot 4! - 30 \)
\(67 = 40 + 3 + 4 !\)
\(68 = ( 30 + 4 ) \cdot \sqrt{4 }\)
\(69 = 34 \cdot \sqrt{4} + 0 !\)
\(70 = ( 34 + 0! ) \cdot \sqrt{4 }\)
\(71 = 3 \cdot 4! - 4^{0 }\)
\(72 = \frac{ 3!! }{ 40 } \cdot 4 \)
\(73 = 4^{0} + 3 \cdot 4 !\)
\(74 = 30 + 44 \)
\(75 = ( 4^{0} + 4! ) \cdot 3 \)
\(76 = \frac{ 304 }{ 4 }\)
\(77 = 40 \cdot \sqrt{4} - 3 \)
\(78 = 30 + 4! + 4 !\)
\(79 = ( 0 + 3 )^{4} - \sqrt{4 }\)
\(80 = ( 3! - 4 ) \cdot 40 \)
\(81 = ( 4 - 3^{0} )^{4 }\)
\(82 = 4^{0} + 3^{4 }\)
\(83 = 40 + 43 \)
\(84 = 30 \cdot \sqrt{4} + 4 !\)
\(85 = \frac{ 340 }{ 4 }\)
\(86 = ( 40 + 3 ) \cdot \sqrt{4 }\)
\(87 = 43 \cdot \sqrt{4} + 0 !\)
\(88 = ( 3 - 0! ) \cdot 44 \)
\(89 = 4^{3} + 0! + 4 !\)
\(90 = \frac{ ( 0! + 4 )! \cdot 3 }{ 4 }\)
\(91 = 4 \cdot 4! + 0! - 3 !\)
\(92 = ( 40 + 3! ) \cdot \sqrt{4 }\)
\(93 = ( 0 + 4 ) \cdot 4! - 3 \)
\(94 = 4 \cdot 4! + 0! - 3 \)
\(95 = 4 \cdot 4! - 3^{0 }\)
\(96 = 30 \cdot 4 - 4 !\)
\(97 = 3^{0} + 4 \cdot 4 !\)
\(98 = 4 \cdot 4! - 0! + 3 \)
\(99 = ( 0 + 4 ) \cdot 4! + 3 \)
\(100 = ( 3^{0} + 4! ) \cdot 4 \)