Hard Arithmetic Puzzles

#2001: 4 _ 7 _ 8 _ 4 = 18 hard #2004: 4 _ 8 _ 2 _ 3 = 16 hard #2006: 4 _ 8 _ 2 _ 1 = 17 hard #2007: 4 _ 8 _ 2 _ 2 = 14 hard #2008: 4 _ 8 _ 2 _ 3 = 19 hard #2026: 4 _ 8 _ 2 _ 9 = -8 hard #2027: 4 _ 8 _ 3 _ 2 = 16 hard #2030: 4 _ 8 _ 3 _ 6 = 20 hard #2033: 4 _ 8 _ 3 _ 6 = 16 hard #2037: 4 _ 8 _ 4 _ 5 = 14 hard #2038: 4 _ 8 _ 4 _ 6 = 16 hard #2039: 4 _ 8 _ 4 _ 7 = 18 hard #2043: 4 _ 8 _ 4 _ 2 = 16 hard #2049: 4 _ 8 _ 4 _ 9 = 18 hard #2050: 4 _ 8 _ 5 _ 4 = 14 hard #2054: 4 _ 8 _ 6 _ 3 = 20 hard #2055: 4 _ 8 _ 6 _ 4 = 16 hard #2057: 4 _ 8 _ 6 _ 9 = 16 hard #2059: 4 _ 8 _ 6 _ 9 = -8 hard #2060: 4 _ 8 _ 6 _ 3 = 16 hard #2073: 4 _ 8 _ 6 _ 6 = 18 hard #2078: 4 _ 8 _ 6 _ 9 = 12 hard #2080: 4 _ 8 _ 7 _ 4 = 18 hard #2082: 4 _ 8 _ 9 _ 6 = 16 hard #2083: 4 _ 8 _ 9 _ 6 = -8 hard #2085: 4 _ 8 _ 9 _ 4 = 18 hard #2089: 4 _ 9 _ 2 _ 1 = 19 hard #2090: 4 _ 9 _ 2 _ 1 = 17 hard #2091: 4 _ 9 _ 2 _ 2 = 16 hard #2092: 4 _ 9 _ 2 _ 3 = 15 hard #2094: 4 _ 9 _ 2 _ 4 = 14 hard #2095: 4 _ 9 _ 2 _ 5 = 13 hard #2096: 4 _ 9 _ 2 _ 7 = 11 hard #2099: 4 _ 9 _ 3 _ 5 = 19 hard #2101: 4 _ 9 _ 3 _ 4 = -8 hard #2102: 4 _ 9 _ 3 _ 1 = 13 hard #2104: 4 _ 9 _ 3 _ 3 = 15 hard #2107: 4 _ 9 _ 3 _ 5 = 17 hard #2111: 4 _ 9 _ 3 _ 7 = 19 hard #2112: 4 _ 9 _ 3 _ 8 = 20 hard #2116: 4 _ 9 _ 4 _ 3 = 16 hard #2118: 4 _ 9 _ 4 _ 3 = -8 hard #2120: 4 _ 9 _ 4 _ 8 = 18 hard #2121: 4 _ 9 _ 4 _ 2 = 18 hard #2123: 4 _ 9 _ 5 _ 3 = 19 hard #2124: 4 _ 9 _ 6 _ 8 = 16 hard #2126: 4 _ 9 _ 6 _ 8 = -8 hard #2135: 4 _ 9 _ 6 _ 5 = 11 hard