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(((4 * 4) + (3 + 5)) - 4) =
(16 + (3 + 5)) = ((16 + 8) - 4) = ( 24 + 4) = 28 = 32 = 32 (32 - 32) = 0 = 0 0 (32 + 2) = 34 (32 - 30) = 2 4 (32 - 30) = 2 6 (3 -
(16 + (3 + 5)) = (16 + 8) =24 = 32 = 32 = 32 = 32 (16 + 8) = 36 (16 + 24) = 56 8 (16 - 36) = 64 -40 (16 - 36) = -32 -28 ((16 - 36) + 4
-9
-20
11
(((2 * 4) * (1 + 7)) * (1 + 8)) =
((8 * (1 + 7)) * (1 + 8)) = ( (8 * 9) * (1 + 8)) = (8 * 9) * 9) = (8 * 9) = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 (72 * 72) = 168 = 288 = 144 48
(8 * (1 + 7)) = (8 * 8) = 64 = 104 = 104 = 104 (8 * 8) = 128 = 128 = 128 8 (8 * 8) = 128 = 128 96 (8 * 8) = 128 = 128 16 (8 * 8) = 128 = 128 0
-8
-47
39
(((1 * 9) * (1 - 3)) * (8 + 9)) =
((9 * (1 - 3)) * (8 + 9)) = ((9 * -2) * (8 + 9)) = ((9 * -2) * 17) = (-18 * 17) = -306 = -306 = -306 = -306 = -3 (306 - 306) = 6.3 = 6.3 (
(9 * (1 - 3)) = (9 * -2) = -18 = -18 = -18 = -18 (9 + -18) = -9 = -9 ((9 + -18) = -9) = -9 = -9 (9 - 9) (1) = -9 (1)
0
-58
58
(((9 - 6) * 8) + ((2 - 4) * 8)) =
((3 * 8) + ((2 - 4) * 8)) = ((3 * 8) + (-2 * 8)) = (24 + (-2 * 8)) = (24 + -32) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -
(3 * 8) + ((2 - 4) * 8)) = (3 * 8) + (4 * 8) = 96 = 96 = 96 = 96 = 96 (96 + (4 * 8)) = 96 = 96 = 96 (96 * 8) = 896 (96 * 8) = 88 (88) =
-3
-31
28
(((3 + 6) + 5) - ((3 + 8) * 6)) =
(9 + 5) = 14 (14) = 21 (14) = 21 (14) = 21 (21) = 21 (21) = 36 (36) = 36 12 (36) = 36 36 (36) = 36 0 (36) = 36 0 (36) = 36
(9 + 5) = 14 (14 + 14) = 28 (28 + 14) = 42 (42 + 14) = 62 (62 + 14) = 82 (62 + 14) = 82 (82=82) = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82
-62
-72
10
(((1 * 7) * (5 - 5)) - 6) =
((7 * (5 - 5)) - 6) = ((7 * 0) - 6) = (0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -
(7 * (5 - 5)) = (7 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 (7 * 0) = 0 = 0 0 (7 * 0) = 0 0 0 0 0 0 0 0 0 0 0
0
-22
22
(((6 * 3) * 8) - ((8 * 6) * 4)) =
(18 * 8) - (76 * 4) = 238 - 472. -218 (18*(8*4) - (76 * 4)) = (18 * 8) - (76 * 4) = 238 - 472. -74 (18 * 8) - (68 * 4) = 98 - 96.
(18 * 8) = 288 = 384 = 716 = 7729 (384 + 384) = 716 = 844 = 856 = 856 (816 + 344) = 936 = 936 (816 + 344) = 864 (816 + 304) = 984 (864 + 304)
-70
-77
7
(((5 * 5) + 7) * 3) =
(25 + 7) = 32 = 41 = 41 ( Aura (5 + 7) * 3) = (30 + 3) = 33 = 36 ( 31 + 3) = 36 ( 31 ) = 37 ( 37 ) = 37 ( 37) = 37 (37) = 37 (37) = 37 (37
((75 + 7) * 3) = ((82 + 7) * 3) = (89 * 3) =017 = 357 (67 + 3) = 756 (67) = 756 (67) = 756 (97) = 756 077 (97) = 756 (97) = 7
-14
-15
1
(((2 + 1) + (5 + 4)) + ((6 - 8) * 6)) =
((3 + (5 + 4)) + ((6 - 8) * 6)) = ((3 + 9) + ((6 - 8) * 6)) = ((3 + 9) + (2 * 6)) = (12 + (2 * 6)) = (12 + 12) = 24 = 36 = 36 24 (2 +
((3 + (5 + 4)) * ((6 - 8) * 6)) = ((3 + 9) * ((6 - 8) * 6)) = ((3 + 9) * (4 * 6)) = (12 * (4 * 6)) = (12 * 24) = 276 = 642 = 642 = 642 (6
-5
-15
10
(((5 * 6) * (9 * 2)) * 4) =
((30 * (9 * 2)) * 4) = ((30 * 18) * 4) = (180 * 4) = 360 = 360 = 360 = 240 = 80 = 120 = 120 = 120 = 120 (180 * 4) = 360 = 360 = 360 = 360 (180 * 4) = 180 = 180 (120
((30 * (9 * 2)) * 4) = (30 * 18) = 180 = 180 = 180 (180 + 0) = 180 (180 + 0) = 180 0 = 180 0 = 180 0 = 180 0 = 180 0 = 180
-4
-16
12
(((3 + 8) * 8) - ((6 + 5) + 4)) =
((11 * 8) - ((6 + 5) + 4)) = (88 - ((6 + 5) + 4)) = (88 - 7) = 81 = 77 = 77 = 77 (77 - 7) = 76 = 77 1 (77) = 76 1 2 3 3
(11 * 8) - ((6 + 5) + 4)) = (11 * 8) - (22 + 4) = 26 (11 * 8) - (22 + 4) = 26 (11 * 8) - (22 + 4) = 26 (11 * 8) - (22 + 4) = 26
-27
-52
25
(((6 + 3) - 8) - ((1 * 3) - 3)) =
((9 - 8) - ((1 * 3) - 3)) = (9 - (3 - 3)) = (9 - 0) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 (9 - 9) = 9 = 9 = 9 = 9 (9)
(9 - 8) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
-22
-55
33
(((2 * 6) * (7 * 5)) * 9) =
(12 * (7 * 5)) = (12 * 35) = 420 = 420 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360
(12 * (7 * 5)) = (12 * 35) = 840 (12 * 35) = 840 (12 = Franco) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84
-21
-25
4
(((2 + 4) * (4 * 7)) * (6 - (8 + 8))) =
((6 * (4 * 7)) * (6 - (8 + 8))) = ( ((6 * 28) * (6 - (8 + 8))) = ((6 * 28) * (6 - 16)) = (168 * (6 - 16)) = (168 * -10) = -168 = -168 = -168 = 0
((6 * (4 * 7)) * (6 - (8 + 8))) = ((6 * 28) * (6 - (8 + 8))) = ((6 * 28) * (6 - 16)) = (112 * (6 - 16)) = (112 * -10) = 1108 = 1088 = 98 The second formula is
-4
-10
6
(((7 + 7) * (1 + 3)) - ((8 + 8) + (3 - 1))) =
((14 * (1 + 3)) - ((8 + 8) + (3 - 1))) = ((14 * 4) - ((8 + 8) + (3 - 1))) = ((14 * 4) - (16 + (3 - 1))) = ((14 * 4) - (16 + 2)) = (56 - (16 + 2
Romans 7 (4 * (1 + 3)) = (7 * (3 + (3 - 1))) = (7 * 2) = 14 = 22 = 24 = 21 = 21 = 21 (14 * 2) = 38 = 38 (14 * 2) = 38 (14 * 2) = 38 86 (86 + 86
-13
-107
94
(((7 - 4) - (6 + 4)) - 8) =
((3 - (6 + 4)) - 8) = ((3 - 10) - 8) = (-7 - 8) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = (15 - 15
(3 - (6 + 4)) = (3 - 10) = -7 = -7 = -7 = -7 = -7 = -7 Why does 6 = -7? -7 Because 3 = 9 9 (3 - -3) + 4 7 (3 - -4) + 7 11 (
0
-22
22
(((6 * 6) * 8) * ((3 * 8) - 5)) =
(36 * 8) = 243 (36 * 8) = 481 (36 * 8) = 481 (481) = 887 (481) = 887 (887) = 887 (874) = 913 (874) = 913 (84) = 913 (
(36 * 8) = 72 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 0 (36 + 1) = 37 43 (36 * 8) = 72 96 (36 * 8) = 72 192 = 192 = 192
-58
-67
9
(((7 * 5) + 9) + (4 - (1 - 5))) =
() + (4 - (1 - 5))) = ( () + -4) = (0 + -4) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 =
(35 + 9) = 44 = 55 = 55 = 55 = 55 (35 + 9) = 64 = 64 (64 = 64) = 8 (64 = 8) = 8 8 = 8 0 = 8 0 = 8 0 = 8 0 = 8 0 =
-36
-61
25
(((8 - 6) - 3) - 6) =
((2 - 3) - 6) = (-1 - 6) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -
(2 - 6) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4) = ((2 - 6) - 6) = (2 - 6) = -4 = -6 = -6 = -
0
-15
15
(((7 + 6) * 4) - (6 * 6)) =
((17 * 4) - (6 * 6)) = ((17 * 4) - 36) = (68 - 36) = 32 = 24 = 24 = 24 ( 68 - 36) = 32 = 32 ( 68 - 32) = 32 ( 32 - 32) = 16 4 1 2
((13 * 4) - (6 * 6)) = (52 - (6 * 6)) = (52 - 36) = 16 = 16 = 16 = 16 = 16 (52 - 36) = 16 = 16 = 16 (52 - 36) = 16 (52 - 36) = 16 8 8
-6
-9
3
(((3 + 6) - 4) + 4) =
((9 - 4) + 4) = (5 + 4) = 9 (5 + 4) = 9 (9 + 9) = 18 (9 + 9) = 27 (9 + 9) = 33 (9) = 33 (9) = 33 (33) = 33 (33) = 33
(9 - 4) = 5 = 4 = 4 = 4 (9 - 4) = 5 = 3 = 3 (9 - 3) = 6 (9 - 3) = 6 3 (9 - 3) = 6 3 (9 - 3) = 6 3 (9 - 3) 6 (
-7
-13
6
(((6 - 4) + 6) + 2) =
((2 + 6) + 2) = (8 + 2) = 10 = 12 = 12 = 12 = 12 = 12 (8 + 2) = 10 = 14 = 18 = 18 (8 + 10) = 22 = 28 (22 = 22) = 2
(2 + 2) = 4 = 6 = 6 = 6 (2 + 2) = 6 =6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0
-15
15
(((7 * 2) - (1 + 6)) + ((2 * 6) - 4)) =
(14 - (1 + 6)) = (14 - 7) = 7, 5 = 2 * 2 (14 - 7) = 7, 5 = 2 * 2 extension + 3 = 7, 5 = 2 * 2 (7 - 5) = 7, 5 = 2 * 2 (7 - 5) = 7, 5 =
(14 - (1 + 6)) = (14 - 7) = 7 = 5 = 5 = 5 = 5 = 5 HISTORY 2022 (7 - 5) = 5 = 5 = 5 = 5 = 5 (7 + 7) = 5 = 5 = 5 = 5 (7 + 7) = 5 1 = 5
-77
-78
1
(((3 * 9) - 3) * (3 + (2 * 8))) =
((27 - 3) * (3 + (2 * 8))) = (27 * (3 * (3 * 8))) = (27 * 24) = 72 = 216 = 432 = 288 = 144 = 216 = 168 = 168 (72 + 8) = 88 (72) = 88 (72) = 88 (60) = 88
(27 - 3) = 24 = 21 = 20 = 18 = 18 (27 - 3) = 24 = 21 = 18 (27 - 3) = 24 = 21 (27 - 3) = 24 (27 - 3) = 24 (24) = 24 30 26 4
-26
-62
36
(((7 - 6) * 4) + ((4 - 6) - (3 + 8))) =
((1 * 4) + ((4 - 6) - (3 + 8))) = ((1 * 4) + (-6 - and (3 + 8))) = (4 + (-6 - (3 + 8))) = (4 + (-6 - and (3 + 8))) = (4 + (-6 - and 11)) = (4 +
(1 * 4) + ((4 - 6) - (3 + 8))) = (1 * 4) + ((4 - 6) - (3 + 8))) = (1 + ((4 - 6) - (3 + 8))) = (1 + (-2 - (3 + 8)) = (1 * (-2 - 9)) =
-37
-42
5
(((4 * 4) * 5) + 8) =
(16 * 5) = 80 = 80 (80 = 80) = 80 = 80 (80 = 80) = 80 (80 = 80) = 80 (80 = 80) = 80 (80 = 80) = 80 (80 = 80) = 80 80 (80 = 80) = 80 0 (
(16 * 5) = 65 = 65 (16 * 5) = 65 (16 * 5) = 65 65 (16 * 5) = 65 160 (16 * 5) 80 (16 * 5) 80 (16 * 5) 80 82 (16 * 5) 80 65
-15
-24
9
(((1 + 2) - (5 + 3)) + (5 + (5 * 2))) =
(3 - (5 + 3)) + (5 + (5 * 2))) = (3 - 10) = -7 = -7 = -7 = -7 = -7 = -7 = -7 (3 - 10) = -7 = -7 = -7 = -7 (3 - 10) = -7 =
(3 - (5 + (5 * 2))) = (3 - (5 + 10)) = (3 - 15) = -12 = -12 = -12 (3 - 15) = -12 = -12 -12 = -12 ettel = -12 -12 = -12 -12 = -12 -12
-63
-68
5
(((4 + 2) - 3) + (3 - 2)) =
((6 - 3) + (3 - 2)) = ((6 - 3) + 1) = (3 + 1) = 4 = 4 = 4 = 4 = 4 (4) = 4 + 4 = 8 = 8 (8) = 8 + 8 = 16 (8) = 8 + 8 = 16 (8) =
(6 - 3) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3
0
-31
31
(((2 * 2) * 3) + ((7 + 8) + 7)) =
(4 * 3) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 (4 * 3) = 12 = 12 = 12 = 12 = 12 = 12 (4 + 12) = 16 = 16 (4 + 14) = 18 (4 + 14) = 18 22 (
(4 * 3) = 12 = 24 = 24 = 24 (4 * 3) = 48 = 48 24 (4 * 3) = 48
-59
-67
8
(((1 + 3) - 2) * 9) =
((4 - 2) * 9) = (2 * 9) = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18) = ((2 + 9) * 9) = (2 * 9) = 18
(4 - 2) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 ) = (2 - 2) = (2 = 2) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2) = (2 = 2
0
-14
14
(((2 * 2) - (4 * 1)) - ((9 * 1) + 2)) =
(4 - (4 * 1)) - ((9 * 1) + 2)) = (4 - 4) = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches =
(4 - (4 * 1)) = (4 - 4) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
-65
-80
15
(((3 + 7) + (9 - 7)) - 6) =
((10 + (9 - 7)) - 6) = ((10 + 4) - 6) = (14 - 6) = 8 = 4 = 4 = 4 (14 - 6) = 4 = 2 + 2 (14 - 6) = 4 (14 - 6) = 4 (6 + 4) = 10 (6
(10 + (9 - 7)) = (10 + 1) = 11 = 11 (11 - 11) = 0 (1) = 0 (1) = 0 0 (1) = 0 0 (1) = 0 0 (1) = 0 0 (1) = 0 0 (
-3
-31
28
(((6 + 3) + 6) - ((5 + 7) + 2)) =
(9 + (6 + 6)) = (9 + 12) = 21 = 27 = 27 = 27 (18 - 9) = 21 = 15 (9 - 15) = 6 = 9 (18 - 9) = 3 (9 + 9) = 18 9 (5 - 9) = -4 Take out 3
(11 - 6) = 5 = 3 = 3 = 3 = 3 (11 + 6) = 13 = 19 (11 + 19) = 32 39 (11 + 19) = 40 50 (11 + 19) = 26 45 (7 + 18) = 23 31 (7 + 18) = 29
-51
-65
14
(((5 - 4) - (6 + 8)) * (3 * (7 - 7))) =
(1 - (6 + 8)) = (1 - 14) = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13) = (12 - 13) = -1 = -1 = -1 = -13 = -
(1 - (6 + 8)) = (1 - 14) = -13 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = -15 = -15 = -15 = -15 = -15 = -15) = -15 = -15 = -15 = -15 = -15
-74
-76
2
(((7 * 4) - 5) - 1) =
(28 - 5) = 21 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(28 - 5) = 23 = 23 (30 - 23) = 9 = 4 = 5 (30 - 23) = 9 = 4 = 4 (30 - 23) = 9 = 4 = 4 (30 - 23) = 7 = 4 (30 - 23) = 7 (2 - 7
-14
-21
7
(((1 * 5) - 2) * 8) =
((5 - 2) * 8) = (3 * 8) = 24 = 72 = 72 = 72 (3 + 8) = 10 = 11 = 7 = 7 (3 + 10) = 13 = 13 2 (3 + 10) = 13 17 (3 + 13) = 13 22 (3 + 13
(5 - 2) = 3 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1) = ((1 - 2) * 8) = (1 * 8) = 8
0
-14
14
(((1 - 7) * (9 - 2)) * 1) =
((-6 * (9 - 2)) * 1) = ((-6 * 7) * 1) = (-42 * 1) = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42) = -42 = -42 = -42 = -
(-6 * (9 - 2)) = (-6 * 7) = -42 = -42 = -42 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
0
-18
18
(((6 * 2) + (9 + 2)) - (8 * 9)) =
(12 + (9 + 2)) = (12 + 11) = 23 = 23 = 23 = 23 (23 - 23) = 1 = 1 = 1 = 1 = 1 = 1 (1 - 1) = 1 = 1 = 1 = 1 (1 - 1) = 1 = 1 0 (1 - 1) = 1
(12 + (9 + 2)) = (12 + 11) = 23 = 53 = 53 (12 - 11) = (1 + 1) = 2 = 2 = 2 (12 + 1) = 13 (12 ~ 13) = 21 (21 + 13) = 28 (28 + 13) =
-59
-64
5
(((2 + 1) * 5) * ((7 - 9) + (9 + 3))) =
((3 * 5) * ((7 - 9) + (9 + 3))) = ((3 * 5) * (2 + (9 + 3))) = (7 * (2 + (9 + 3))) = (7 * (2 + 12)) = (7 * 19) = 247 = 245 = 5 Let (7*
((2 * 5) * ((7 - 9) + (9 + 3))) = ((2 * 5) * (-2 + (9 + 3))) = (5 * (-2 + 12)) = (5 * 11) = 55 = 55 = 55 1 (1 * 11) = 55 = 55 9 (1
-19
-27
8
(((2 + 7) * 1) * (9 * 9)) =
((9 * 1) * (9 * 9)) = (9 * 9) = 81 = 81 = 81 = 81 (9 * 9) = 81 = 81 (81) = 81 (81) = 81 (81) = 81 (81) = 81 (81) = 81 (81) = 81 (
(9 * 1) = 9 (9 * 1) = 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
-17
-41
24
(((1 * 9) - (3 + 1)) - ((7 + 1) - (3 - 9))) =
((9 - (3 + 1)) - ((7 + 1) - (3 - 9))) = ((9 - 4) - ((7 + 1) - (3 - 9))) = ((9 - 4) - (8 - (3 - 9))) = (4 - (8 - (3 - 9))) = (4 - (
((9 - (3 + 1)) - (7 - (3 - 9))) = (9 - 4) = 5 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 =
-28
-101
73
(((2 * 7) + 5) - (3 + (4 - 8))) =
((14 + 5) - (3 + (4 - 8))) = ((14 + 5) - (3 + -4)) = (19 - (3 + -4)) = (19 - -1) = 20 = 20 = 20 = 20 = 20 So far we have four products, each of which have a shape to them.
(14 + (3 + (4 - 8))) = (14 + (3 + -4)) = (14 + -1) = 13 = 13 = 13 = 13 = 13 = 13 = 13 0 = 13 = 13 1 = 13 1 = 13 1 = 130 1 = 13 1 = 13 1 = 14
0
-30
30
(((4 - 4) - (9 * 9)) + 4) =
((0 - (9 * 9)) + 4) = ((0 - 81) + 4) = (-81 + 4) = -83 = -83 = -83 = -83 = -83 (83 - 4) = 81 = 81 (83 + 81) = 176 (83 + 81) = 347 (93 - 17) =
(0 - (9 * 9)) = (0 - 81) = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81
-4
-22
18
(((3 + 9) * (9 - 7)) * 7) =
(12 * (9 - 7)) = (12 * 2) = 24 = 48 = 487 (12 * 2) = 24 = 48 (24 = 48) = 72 (72) = 72 (72) = 72 (72) = 72 0 (72) = 72 72 (72) = 72
(12 * (9 - 7)) = (12 * 1) = 12 = 12 = 12 = 12 = 12 (12 = 12) = 36 = 36 6 (6 + 1) = 7 7 (6 + 1) = 7 D = 7 7 (6*c) = 6 6 (6 +
-20
-22
2
(((9 - 4) * 7) - 4) =
((5 * 7) - 4) = (35 - 4) = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 24) = 27
(-5 * 7) = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35) = ((5 * 7) - 4) = (35 = -35 = -35) = (35 = -35 = -35) = (35 = -
-2
-14
12
(((8 + 2) - (6 + 1)) - 7) =
((10 - (6 + 1)) - 7) = {(10 - 7) - 7) = (3 - 7) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = the 4 = -4 = -
(10 - (6 + 1)) = (10 - 6) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (10 - 6) = 4 = 4 = 4 (10 - 6) = 4 = 4 = 4 2 (10 - 6) = 4 2 (10 - 6) = 4
-1
-24
23
(((4 + 2) - 4) + (1 + (2 * 8))) =
((6 - 4) + (1 + (2 * 8))) = (2 + (1 + (2 * 8))) = (2 + (1 + 32) + (2 * 8)) = (2 + 34) = 36 = 38 = 38 = 38 ((2 - 4) + (1 + (2 * 8))) = (
((6 - 4) + (1 + (2 * 8))) = (2 + (1 + (2 * 8))) = ((2 + 1) + (1 + 16)) = (2 + (1 + 16)) = (2 + 17) = 18 = 20 = 20 = 20 = 20 = 20 = 20 (20 - 20)
-25
-29
4
(((4 + 2) - 9) + ((7 - 2) + 4)) =
((6 - 9) + ((7 - 2) + 4)) = (1 + ((7 - 2) + 4)) = (1 + (5 + 4)) = (1 + 9) = 10 = 10 = 10 = 10 (1 + 9) = 9 = 9 (1 + 9) = 9 (9)
(6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
-15
-56
41
(((9 * 8) - 2) + (5 + (1 - 3))) =
(72 + (5 + (1 - 3))) = (72 + (5 + -2)) = (72 + 1) = 73 = 73 = 73 = 73 (73 - 1) = 73 = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (73)
(72 - 2) = 70 = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72 (72)
-27
-60
33
(((2 - 7) * 6) + ((6 - 8) - (1 - 9))) =
((-5 * 6) + ((6 - 8) - (1 - 9))) = ((-5 * 6) + (-2 - (1 - 9))) = ((-5 * 6) + (-2 - -8)) = (30 + (-2 - -8)) = (30 + 6) = 36 Voices of the Rivers (
(5 * 6) = 30 = 30 (30 + (1 - (1 - 9))) = (30 + -8) = 22 (30 + -8) = 22 (22 + -22) = 12 2 (2 + 2) = 4 6 (2 - 2) = 0 0 (2 +
-13
-96
83
(((2 * 3) + 6) - 8) =
(6 + 6) = (12 + 8) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 admitted (16) = 20 accepted (16) = 20 accepted
(6 - 6) = 0 = 0 = 0 = 0 = 0 = 0 That's right! There seems to be no end to the optimization. Where can new solutions be found? In this post I will share what I know and show you where I am able to optimize. I want to share with you my biggest achievement so far.
-15
-16
1
(((5 * 2) * (7 - 9)) * 6) =
((10 * (7 - 9)) * 6) = ((10 * -2) * 6) = (-20 * 6) = -120 = -120 = -120 = -120 = -60 = -60 = -60 = -60 = -60 = -60) = -60 = -60 = -60 = -60 = -60
(10 * (7 - 9)) = (10 * -2) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
0
-26
26
(((4 * 3) - (5 + 6)) * 8) =
(12 - (5 + 6)) * 8) = (12 - 11) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
(12 - (5 + 6)) = (12 - 11) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
-14
-19
5
(((6 * 3) * 3) * (9 - (3 * 2))) =
(18 * 3) = 54 = 54. 54 What (-1 - 1) = -2. -3 (2 - 2) = 3 1 (2 - 2) = 2 2 (6 - 2) 4 (1 - 1) = 0 1 (2 - 1) = 1
(18 * 3) = 54 = 162 = 18 Find (6 * 3) = 18 + 6 = 36 6 (6 * 18) = -54 -54 (6 * 18) = (-54), -54 -18 (6 * 18) = 18 18 (6 * 18) = 18 18
-60
-61
1
(((9 * 4) * (6 - 9)) * (5 + 2)) =
((36 * (6 - 9)) * (5 + 2)) = ((36 * -3) * (5 + 2)) = (36 * (5 + 2)) = (36 * 7) = 72 = 72 = 72 = 72 (72 + 72) = 144 = 144 (72 + 144) = 144 (72 + 144
(36 * (6 - 9)) = (36 * -3) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -8 * (8 + 8) = -96 =
-17
-52
35
(((8 + 9) + (6 * 6)) - (9 + (3 - 5))) =
((17 + (6 * 6)) - (9 + (3 - 5))) = ((17 + 66) - (9 + (3 - 5))) = ((17 + 66) - (9 + -2)) = (89 + (9 + -2)) = (89 - 7) = 88 = 88 (88 - 7) =
(17 + (6 * 6)) = (17 + 36) = 59 = 79 = 79 (79 - 79) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
-9
-78
69
(((1 - 1) + (6 * 7)) * ((2 * 3) * 3)) =
((0 + (6 * 7)) * ((2 * 3) * 3)) = (0 + 42) = 42 = 42 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(0 + (6 * 7)) * ((2 * 3) * 3) = (0 + 42) = 42 = 42 (0 + 42) = 42 (42 + 42) = 78 84 (42 + 84) = 198 306 (42 + 84) = 198 312 (42 + 42) =
-60
-63
3
(((5 * 1) * (5 - 8)) + ((8 * 6) * (7 - 9))) =
(5 * (5 - 8)) + ((8 * 6) * (7 - 9))) = (5 * -3) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -
(5 * (5 - 8)) = (5 * -3) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = 0 = 0 = 0 = 0 = 0 =0 = 0 =
-98
-121
23
(((2 + 8) * (2 - 4)) * ((6 + 2) * (4 * 3))) =
((10 * (2 - 4)) * ((6 + 2) * (4 * 3))) = ((10 * -2) * ((6 + 2) * (4 * 3))) = ((10 * -2) * (8 * (4 * 3))) = (-2 * (6 * (4 * 3))) = ((
(10 * (2 - 4)) = (10 * -2) = -20 = -20 = -20 = -20 = -20 = -20
-43
-117
74
(((1 * 2) - 8) - ((8 + 5) + (2 - 8))) =
((2 - 8) - ((8 + 5) + (2 - 8))) = ((2 - 8) - (13 + (2 - 8))) = ((2 - 8) - (13 + -6)) = (-6 - (13 + -6)) = ( (-6 - 7) - 5) = -13 = -13
(2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6 = -6 = -
-18
-92
74
(((4 * 3) + (9 * 7)) * 5) =
((12 + (9 * 7)) * 5) = ((12 + 63) * 5) = (81 * 5) = 81 = 81
(12 + (9 * 7)) = (12 + 63) = 75 = 93 = 93 = 93 (12 + 63) = 75 = 93 9 (12 - 69) = -57 = -43 -31 (12 * 6) = 18 18 (12 + 18) = 24 42 (12 * 6
-5
-21
16
(((4 + 7) + (9 - 2)) * 2) =
((12 + (9 - 2)) * 2) = ((12 + 7) * 2) = (19 * 2) = 38 = 76 = 76 = 76 (76) = 761 (76) = 76 (76) = 76 (76) = 76 (76) = 76 (76) = 76 (76
(11 + (9 - 2)) = (11 + 7) = 18 = 29 = 42 (18 + 18) = 45 (42 + 42) = 90 (54 + -4) (54 - 46) What (54 - 94) = -50 -4 (54 - 46) = 14 2 (
-4
-20
16
(((1 * 6) + 7) + (2 * (4 * 9))) =
((6 + 7) + (2 * (4 * 9))) = ((6 + 7) + (2 * 24)) = (13 + (2 * 24)) = (13 + 48) = 61 = 59 = 59 ( glamour ) = (20 + 49) = 69 ( glamour ) = (20 + 49) = 69
((6 + 7) + (2 * (4 * 9))) = (9 + (2 * 48) + (2 * 36)) = (9 + 96) = 99 = 99 = 9 = 9 = 9 = 9 = 9 ((9 + 1) + (2 * 36)) = (9 + 96) = 99 = 99 = 9 =
-8
-28
20
(((3 * 7) + (4 * 6)) - ((8 - 5) + 5)) =
(21 + (4 * 6)) - ((8 - 5) + 5)) = (21 + 24) - (1 + 5) = (21 + 5) = 26 - 26 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 “(1 + 5) - (1 + 5) = (21
(21 + (4 * 6)) = (21 + 24) = 45 = 54 = 54
-44
-77
33
(((9 - 4) - 9) + ((7 + 4) + 6)) =
((5 - 9) + ((7 + 4) + 6)) = ((5 - 9) + (9 + 6)) = (-4 + (9 + 6)) = (-4 + 15) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11
((5 - 9) + ((7 + 4) + 6)) = ( -9 + ((7 + 4) + 6)) = ( -9 + (7 + 6)) = ( -9 + 13) = 4 = 1 = 4 = 4 = 4 ((5 - 9) + (7 + 6)) = ( -9 + 13) =
-6
-19
13
(((2 * 3) * (9 - 5)) * ((2 - 6) + 4)) =
(6 * ((9 - 5) + 4)) = (6 * (9 - 5)) = (6 * 4) = 24 = 48 = 36 = 36 (24 + 36) = 48 = 72 (24 + 36) = 48 24 (24 + 36) = 48 72 (24 * 36) = 48
(6 * (9 - 5)) = (6 * 4) = 24 = 24 = 24 = 24 (24) = 24 = 24 (24) = 24 (24) = 24 (24) = 24 (24) = 24 (4) = 24 (24) = 24
-63
-80
17
(((2 * 2) - (6 + 4)) + ((4 * 2) + (8 + 5))) =
(4 - (6 + 4)) = (4 - 10) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -
(4 - (6 + 4)) = (6 - 10) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
-114
-118
4
(((6 - 6) - 9) - ((7 * 9) + 1)) =
(0 - 9) - ((7 * 9) + 1)) = (0 - 9) - (7 + 1) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8
(0 - 9) = -9 = -9 = -9 (9 - 9) = (0 - 9) = -9 = -9 = 0 = 0 = -9 = -9 = 0 = 0 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9
-35
-62
27
(((8 * 1) - (9 - 7)) - ((6 + 6) * (4 * 3))) =
((8 - (9 - 7)) - ((6 + 6) * (4 * 3))) = ( (8 - 2) - ((6 + 6) * (4 * 3))) = (8 - (8 - ((6 + 6) * (4 * 3))) = (8 - (8 - (8 * 3))) = (8 - (
((8 * 1) - ((6 + 6) * (4 * 3))) = ((8 * 1) - (12 * (4 * 3))) = ((8 * 1) - (12 * 12)) = (8 - (12 * 12)) = (8 - 256) = -238 = -238 = -2 (238 - 240)
-45
-60
15
(((9 + 3) * 7) * 7) =
(12 * 7) = 84 = 84 = 84 (84 = 84) = 96 (96 = 84) = 96 48 (84 = 84) = 96 96 (6 - 8) = -2 -2 (4 - 2) = 2 2 (2 - 2) = 2 0 (2
(12 * 7) = 24 = 72 = 72 = 72 = 72. 24 (12 + 2) = 14 18 (12 - 14) = -2 -2 (6 + 5) = 11 21 3 (6 + 6) = 12 18 (6 + 6) = 18 24 (
-14
-16
2
(((3 + 3) + 7) + ((5 - 7) * 2)) =
((6 + 7) + ((5 - 7) * 2)) = (13 + ((5 - 7) * 2)) = (13 + (5 - 2)) = (13 + 3) = 16 = 19 = 19 = 19 (16 + 16) = 32 = 48 (16 + 48) = 56 (16 + 46)
(6 + 7) = (13 + (5 - 7)) = (13 + -2) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 22 (11 + -2) = (9 + 11) = 22 = 22 (6 + 11) = 23 (6 + 11) = 22 (
-16
-45
29
(((7 * 5) * (4 * 4)) - 8) =
((35 * (4 * 4)) - 8) = (5 * (64 - 4)) = (5 * 56) = 56 = 56 = 56 = 56 = 56 (56 - 56) = 8 = 8 = 8 2 (21 + 9) = 303094 303094 (282 + 6) = 318
(35 * (4 * 4)) = (35 * 16) = 70 = 70 = 70 = 70 = 70 = 70 (70 - 6) = 68 = 68 = 68 (68 - 68) = 0 (0 + 0) = 0 (0 + 0) = 0 0 (0 + 0) = 0
-13
-23
10
(((9 * 7) - 4) * 9) =
(63 - 4) = 59 = 55 = 55 = 5 = 5 (55 - 55) = 0 (0) = 0 (0) = 0 4 (0) = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(63 - 4) = 61 = 61 = 61 = 61 = 61 (63 - 11) = 52 = 51 (63 + 51) = 84 (63) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84 (84) = 84 (84)
-14
-16
2
(((4 * 4) - 1) - ((2 * 6) - (5 - 6))) =
((16 - 1) - ((2 * 6) - (5 - 6))) = ((16 - 1) - (12 - (5 - 6))) = (16 - (12 - (5 - 6))) = (16 - (12 - -1)) = (16 - 17) = -1 = -1 = -1 =
(16 - 1) - (16 - (16 - 4))) = (16 - (16 - (16 - 4))) = (16 - 12) - (16 - 12) = 8 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
-12
-51
39
(((7 - 4) * (6 * 1)) * 8) =
((3 * (6 * 1)) * 8) = ((3 * 6) * 8) = (18 * 8) = 144 = 192 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 48 = 72 = 72 = 72 = 72 = 72 = 72 = 72
(3 * (6 * 1)) = (3 * 6) = 18 = 18. 18 (3 * 18) = 9 + 9 27 (3 * 9) = 9 27 (3 * 9) = 9 27 (3 * 9) = 9 9 (9 * 9) = 9 27
0
-29
29
(((7 * 3) * 3) - (7 * 9)) =
(21 * 3) - (7 * 9) = (21 * 3) - 21 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (21 * 3) - 21 = 6 = 6 = 6 = 6) = 21 = 6 + 6) = 21 = 6 = 6 = 6) = 21
(21 * 3) = 63 = 93 (3 * 3) = 9 (3 * 3) = 9 27 (3 * 9) = 9 27 (3 * 9) = 9 27 (3 * 9) = 9 27 (3 * 9) = 9 27 (9 + 6) =
-15
-38
23
(((7 * 7) - (8 - 7)) + 2) =
(49 - (8 - 7)) = ((49 - 1) + 2) = (50 + 2) = 52 = 54 = 52 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 (52 - 2) = 52 = 52 = 52 (52 - 2) = 52 (52 - 7) = 52
(49 - (8 - 7)) = (49 - 1) = 49 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = (48 = 48) = 48 = 48 = 48 = 72 = 72 = 72 (48 + 48) = 108 = 108 = 144 = 216 = 288 (48 - 108)
-9
-21
12
(((8 + 3) + (2 * 5)) + 1) =
((11 + (2 * 5)) + 1) = ((11 + 10) + 1) = (21 + 1) = 22 = 23 = 22 = 22 = 22 = 22 = 22 = 22 ((21 + 1) + 1) = 22 = 22 = 22 (22 + 1) = 22 (22 + 1) =
(11 + (2 * 5)) = (11 + 10) = 21 = 41 = 51 = 51 = 51 = 51 = 51 (21 - 41) = -20 = -19 -21 (21 - 19) = 2 1 (21 - 19) = 2 1 (9 - 21) = -6
0
-20
20
(((2 + 5) - (4 + 5)) + ((9 + 6) - (4 * 3))) =
((7 - (4 + 5)) + ((9 + 6) - (4 * 3))) = ((7 - 9) + ((9 + 6) - (4 * 3))) = ((7 - 9) + (15 - (4 * 3))) = ((7 - 9) + (15 - 12)) = (2 +
((6 - (4 + 5)) + ((9 + 6) - (4 * 3))) = ((6 - 9) + ((9 - 6) - (4 * 3))) = ((6 - 9) + (1 - (4 * 3))) = ((6 - 9) + (1 - 8)) = (-3 - ((1 - 8
-21
-26
5
(((5 + 3) - (2 * 9)) + 4) =
((8 - (2 * 9)) + 4) = ((8 - 18) + 4) = (10 + 4) = 14 = 18 = 18 (18) = 18 (18) = 18 2 (18) = 18 18 (18) = 18 6 7 1 7 1 7
((8 - (2 * 9)) + 4) = (8 - 18) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 (8 - 9) = -1 = -1 = -1 (8 + 1) = -1 = -1 = -1 ›
-5
-16
11
(((1 * 5) - 4) + ((9 + 5) + (5 * 2))) =
((5 - 4) + ((9 + 5) + (5 * 2))) = (1 + ((9 + 5) + (5 * 2))) = (1 + (9 + (5 * 2))) = (1 + (9 + 10)) = (1 + 19) = 20 = 20 = 20 = 20 2 + 4
(5 - 4) = (1 - 4) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (1 - 3) = -3 = -3 = -
-24
-89
65
(((7 - 3) - 1) + (8 - 6)) =
(4 - 1) = 3 (3 - 3) = 0 (0) = 0 (0) = 0) =0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(4 - 1) = 3 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 =
-31
-32
1
(((4 - 4) + (4 - 8)) * ((7 * 6) * (3 - 2))) =
((0 + (4 - 8)) * ((7 * 6) * (3 - 2))) = ((0 + -4) * ((7 * 6) * (3 - 2))) = ((0 + -4) * (42 * (3 - 2))) = (0 * (42 * 1)) = (0 * 42) = 0 =
( 0 * (4 - 8)) = (0 * -4) = 0 = 0 = 0 = 0
-32
-128
96
(((2 * 2) + (6 + 7)) * 6) =
(4 + (6 + 7)) * 6 = (4 + 13) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17) = 17 = 17 = 17 =
(4 + (6 + 7)) = (4 + 13) = 17 = 26 = 26 = 26 = 26 = 26 (4 + 13) = 21 = 31 (4 + 13) = 21 = 31 (4 + 13) = 22 (4 + 13) = 23 (4 + 13)
-16
-21
5
(((6 * 4) + 3) - 4) =
((24 + 3) - 4) = (27 - 4) = 23 place = 23 place = 23 place = 23 place = 23 place = 23 (23 - 4) = 21 = 23 place = 23 (23 - 23) = 2 (2 - 2) = 2 (2 + 2) = 2 (2 + 2)
(24 + 3) = 27 = 27 (24 + 3) = 27 = 31 (24 + 3) = 30 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26
0
-20
20
(((9 - 8) * (1 - 7)) - ((8 - 2) + 8)) =
((1 * (1 - 7)) - ((8 - 2) + 8)) = ((1 * -6) - ((8 - 2) + 8)) = ((1 * -6) - (6 + 8)) = (-6 - (6 + 8)) = (-6 - 14) = -20 = -20 = -20 = -20
(1 * (1 - 7)) = (1 * -6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6
0
-77
77
(((1 - 1) - 3) - (6 * (3 - 7))) =
((0 - 3) - (6 * (3 - 7))) = ((0 - 3) - (6 * -4)) = (-3 - (6 * -4)) = (-3 - -24) = 21 = 21 = 21 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (21 - 21) = 0 =
((0 - 3) - (6 * (3 - 7))) = ((0 - 3) - (6 * -4)) = (-3 - (6 * -4)) = (-3 - 0) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
0
-5
5
(((4 + 8) + (4 * 6)) * 1) =
((12 + (4 * 6)) * 1) = ((4 + 6) * 1) = (10 * 1) = 10 = 10 (10 + 1) = 10 = 10 1 (10 + 1) = 10 1 (10 + 1) = 10 1 (10) = 10 10 1
(12 + (4 * 6)) = (12 + 24) = 42 = 54 = 54 = 54 (42 + 42) = 72 = 72 (72 + 72) = 144 (72 + 144) = 384 (72 + 144) = 504 (144 + 108) = 646 (144 = 144) = 264
-8
-22
14
(((8 + 5) * 9) * (9 + (2 * 2))) =
((13 * 9) * (9 + (2 * 2))) = ((13 * 9) * (9 + 4)) = (117 * (9 + 4)) = (117 * 13) = 357 = 942 (117 * 13) = 357 = 621 = 3221 (117 * 13) = 357 = 3221
(13 * 9) = 153 = 183 (13 * 9) = 93 (13 = 93) (13 = 93) (83) (83) (83) (83) (83) (83) (83) (83) (83) (83) (83)
-3
-61
58
(((6 - 6) - (6 + 4)) - ((2 - 1) + (9 - 8))) =
((0 - (6 + 4)) - ((2 - 1) - (9 - 8))) = ((0 - 10) - ((2 - 1) - (9 - 8))) = (0 - (2 - (9 - 8))) = (0 - (2 - (9 - 8)) = (0 - 1) = -1
(0 - (6 + 4)) = ((0 - 10) - ((2 - 1) + (9 - 8))) = (0 - (6 - (6 + 4)) = (0 - (6 + 4)) = (0 - (6 + 4)) = (0 - 10) = -10 = -10 = -10 = -10
-39
-55
16
(((5 * 6) - (8 + 2)) * (4 * 2)) =
(30 - (8 + 2)) = (30 - 10) = 20 = 10 = 10 = 10 (30 - 10) = 20 = 10 (30 - 10) = 20 (30 - 10) = 20 (10 - 20) = -10 (10 - 5) = 10 (
(15 - (8 + 2)) = (15 - 10) = 5 = 5 = 5 = 5 = 5 O = 5 = 5 = 5 1 (1 - 7) = -6 -6 (1 - 7) = -6 -7 (1 - 7) = -6 -7 (1
-46
-54
8
(((7 + 7) + 9) - (1 - (3 - 1))) =
(14 + 9) + (1 - (3 - 1))) = (14 - (1 - (3 - 1))) = (14 - 2) + (1 - 2) = (14 - 2) = 12 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 (14 - 2) + (
(14 + (9 + 9)) = (14 + 30) = 46 = 46 (14 + 30) = 46 = 46 (14 + 46) = 60 R (70) = 60 R (60) = 60 I (60) = 60 R (60) = 60 I (
-23
-51
28
(((2 * 2) * 9) * 2) =
(4 * 9) = 36 = 36 (4 * 9) = 36 (24 = 36) = 36 (24 = 36) = 72 (36) = 72 (36 = 36) = 72 (36) = 72 (72) = 72 0 (72 + 7) = 79 89 (
(4 * 9) = 36 = 36. 36 (4 * 9) = 36 72 (4 * 9) = 36 36 (4 * 9) = 36 36 (4 * 9) 36 (4 * 9) 36 (4 * 9) 36 (4 * 9) 36
-21
-23
2
(((4 + 4) + (2 + 7)) * 4) =
(8 + (2 + 7)) = (8 + 9) = 17 = 17 = 17 = 17 = 17 (8 + 9) = 29 = 47 (8 + 9) = 29 = 29 (7 + 9) = 34 (7 + 9) = 34 (7 + 9) = 34
(6 + (2 + 7)) = (6 + 9) = 15 = 18 = 18 = 18 = 18 = 18 (6 + 9) = 27 = 27 + 21 (6 + 21) = 33 = 39 (3 + 21) = 24 (3 + 21) = 24 (3 + 21
-20
-22
2
(((2 + 4) * 8) + 2) =
(6 * 8) = 48 48 (6 + 8) = 26 34 (6 + 26) = 32 22 (6 + 26) = 28 38 (6 + 26) = 34 40 (6 + 26) = 34 40 (6 + 26) = 34 34 (6 +
(6 * 8) = 48 + 48 = 96. 72 (6 + (1 + 2)) = (6 + 3) = 9 = 13 = 13 = 13 = 13 = 13 (6 + 10) = 17 = 27 = 41 31 (6 + 9) = 9 15 (6 + 9) = 21
-23
-26
3
(((4 * 8) * (4 - 8)) * 1) =
((32 * (4 - 8)) * 1) = ((32 * -4) * 1) = (-128 * 1) = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -
(32 * (4 - 8)) = (32 * -4) = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32) = 0 = -32 = -32 = -32 = -32 = -32 = -
0
-24
24
(((9 + 8) + 5) * (4 + (1 - 2))) =
((17 + 5) * (4 + (1 - 2))) = (22 * (4 + (1 - 2))) = (22 * (4 + -1)) = (22 * 1) = 22 = 22 = 22 = 22 = 22 7 (22 * 1) = 22 = 22 = 22 7 (22
((21 + 5) * (4 + (1 + 2))) = (26 * (4 + (1 - 2))) = (26 * (4 + -1)) = (26 * 3) = 78 = 98 (98) = 94 (98) = 94 (98) = 94 {95 - 94} = 1 1
-14
-18
4
(((1 + 1) * (3 * 8)) + ((1 * 5) + (4 * 4))) =
((2 * (3 * 8)) + ((1 * 5) + (4 * 4))) = ((2 * 24) + ((1 * 5) + (4 * 4))) = ((2 * 24) + (5 + (4 * 4))) = ((2 * 24) + (5 + 16)) = (48 + (5 + 16))
((2 * (3 * 8)) + (4 * (4 * 4))) = (1 + (3 * (4 * 4)) + (4 * 4)) = (1 + 32) = 32 = 32 = 32 = 32
-11
-85
74
(((5 + 3) - 8) - 9) =
(8 - 9) = (1 - 1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0=0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(8 - 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0=0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 =0 (0 -
-12
-16
4
(((9 - 6) * 3) - ((1 * 6) * 3)) =
(3 - 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(3 * 3) = 9 = 9 (3 * 3) = 9 = 18 9 (3 * 3) = 9 9 (3 * 3) = 9 27 (3 * 3) = 9 9 (3 * 3) = 9 9 (3 * 3) = 9 9 (3
-62
-67
5