question
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22
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response_j
stringlengths
11
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response_k
stringlengths
5
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score_j
float64
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0
score_k
float64
-209
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magnitude
float64
1
189
(((7 * 6) * 2) * (4 - (5 + 8))) =
((42 * 2) * (4 - (5 + 8))) = ((42 * 2) * (4 - 13)) = (84 * (4 - 13)) = (84 * -7) = -84 = -84 = -84 = -84 = -84 = -84 = =84 - 84 = 0. There is
(42 * 2) = 84 = 168 = 204 = 284 = 284 = 284 = 284 = 284 = 284 = 284 = 284 = 284 = 284 = 286 = 286 = 286 = 286 = 286 =426 = 426 = 286 = 252 = 252 = 252 = 252 =252 = 252 = 252 = 252 = 252 = 252 = 252 = 252 = 252 =
-7
-68
61
(((5 * 8) * 6) * 8) =
(40 * 6) = 120 = 60 = 30 = 30 = 30 (60 (60 + 3) = 63) = 63 = 63 9 (60 + 13) = 77 77 (7 - 7) = 0 1 (3 - 7) = -4 - 4 -1 (3 + 7)
(40 * 6) = 60 = 60 = 60 = 60 (60 + 60) = 120 = 120 (60 + 120) = 180 (120 + 180) = 360 (180 + 180) = 720 (0 + 1) = 1 1 (80 + 180) = 2302 350 (80 + 180)
-16
-17
1
(((9 * 8) + 7) - ((2 - 3) - 6)) =
((72 + 7) - ((2 - 3) - 6)) = ((72 + 7) - (-1 - 6)) = (79 - (-1 - 6)) = (79 - -7) = 82 = 82 = 82 = 82 = 82 (82 - 82) = 0 = 0 0 (82 - 82) = 0 0
(72 + ((2 - 3) - 6)) = (72 + -1) = 71 = 71 That is a positive factor (91 + -1) = 90 (91 - 1) = 90 (91 - 90) = 1 1 (91 - 90) = 1 1 (91 + 9) = 90 115
-1
-52
51
(((8 * 4) - 3) + 8) =
(32 - 3) = 29 = 27 (32 - 3) = 29 (32 = 29) = 27 (32 = 27) = 25 (27) = 25 (27) = 25 (27) = 25 (25) = 25 (25) = 25 (25) = 25 (25) =
(32 - 3) = 29 = 26. (26) + 17 (32 - 9) = 19 (17) = 17 (17) (17) (17) (17) (17) (17) (17 (17) (17) (17) (17)
-21
-30
9
(((3 * 7) + (1 - 2)) * ((5 - 3) + (6 * 7))) =
(21 + (1 - 2)) = (21 + -1) = 20 = 19 = 19 (1 + 1) = 2 (1 + 1) = 2 (2 + 1) = 3 (2 + 1) = 3 3 (2 + 1) = 2 3 (2 + 1) = 2
(21 + (1 - 2)) = (21 + -1) = 20 = 19 = 19 (19 - 19) = 1 (1 + 1) = 2 (1 + 1) = 2 2 (1 + 1) = 2 2 (1 + 1) = 2 2 (1 + 1) =
-119
-121
2
(((6 + 1) - (2 + 9)) + ((4 + 2) + 1)) =
((7 - (2 + 9)) + ((4 + 2) + 1)) = ((7 - 11) + ((4 + 2) + 1)) = ((7 - 11) + (+2 + 1)) = (-6 + (+2 + 1)) = (-6 + 1) = -5 = -5 = -5 = -5
((7 - (2 + 9)) + ((4 + 2) + 1)) = (9 + ((4 + 2) + 1)) = (9 + (6 + 1)) = (9 + 7) = 16 = 13 = 13 = 13 = 13 (9 + 7) = 26 = 26 (9 + 6) =
-9
-34
25
(((7 + 8) - (8 + 3)) * 1) =
(15 - (8 + 3)) = (15 - 11) = 4 = 4 = 4 = 4 (15 - 11) = 1 (1 - 1) = 0 (1 - 0) = 0 1 (1 - 0) = 0 1 (1 - 0) = 0 1 (1 - 0
(15 - (8 + 3)) = (15 - 11) = 4 = 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 =
-18
-19
1
(((4 * 9) * 4) - 3) =
(36 * 4) = 48 = 192 = 96 = 192 = 192 (192 + 192) = 444 = 864 = 864 (192 - 192) = 8 (8) = 896 (8) = 896 (8) = 88 (88) = 88 (8) = 86 (88)
(36 * 4) = (144 * 4) = 512 (144 * 4) = 484 (144 * 4) = 484 48 ((144 * 4) = 484) = 484 256 ((144 * 4) = 484) = 484 0M (144 * 4) = 484
-16
-18
2
(((8 - 3) - (2 + 5)) + (4 * 7)) =
((5 - (2 + 5)) + (4 * 7)) = ((5 - 7) + (4 * 7)) = ((5 - 7) + 28) = (-2 + 28) = 26 = 26 = 26 = 26 = 26 In the 2nd element, 0 = 26 = 26 = 26 In the 2nd element,
(5 - (2 + 5)) = (5 - 7) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = - 2 = -2
0
-45
45
(((7 - 8) - 9) - 6) =
((-1 - 9) - 6) = (-10 - 6) = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(1 - 9) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = (1 - 8) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 =
0
-19
19
(((6 + 7) - 3) + 5) =
(13 - 3) = 10 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 : 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (13 - 3) = 10 = 9 = 9 = 9 = 9 = 9 = 9 = 9) =
(13 - 3) = 10. 9 (13 + 3) + (2 - 2) = 15.9 = 17. 17 (13 + (2 - 2)) = 14.9 = 17.3 17 7 + 4 = 11 15 (13 - 11) = 2 3 (9 - 8)
-14
-22
8
(((3 + 9) - (1 + 4)) - (2 + 6)) =
((12 - (1 + 4)) - (2 + 6)) = ((12 - 3) - (2 + 6)) = ((12 - 3) - 8) = (9 - 8) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 ((18 - 8) - 8
(12 - (1 + 4)) = (12 - 5) = 7 = 3 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (2 - 2) = 1 (1 + 1) = 2 2 (2 + 2) = 2 2 (2 - 2) = 1 1
-5
-49
44
(((6 - 5) + 3) * ((2 + 9) - (6 - 7))) =
(1 + 3) = 4 = 4. 1 (1 + 3) = 4 = 4. 3 (1 + 3) = 4 = 4. 5 (1 + 4) = 5 5 (1 + 4) = 5 5 7 (1 + 4) = 5 7 (1 +
(1 + 3) = 4 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = ((1 + 3) = 4) = (2 + 4) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 =
-86
-96
10
(((1 * 4) * 6) * 2) =
(4 * 6) = 24 = 96 = 96. 60 (4 * 6) = 96 = 96. 96 (4 * 6) = 96 = 96. 96 (4 * 6) = 96 48 (4 * 6) = 66 30 (4 * 6) = 66 66 (4
(4 * 6) = 24 (24) = 24 (24) = 24 0 (24) = 24 0 (24) = 24 0 (24) = 24 0 1 (24) = 24 0 1 1 0 1 1 1 1 1 1
-14
-16
2
(((9 * 4) * 1) * ((9 + 7) - 1)) =
(36 * 1) = 36 = 36 PI = 96 = 96 12 (96) = 96 13 64 64 20 49 20 49 64 64 4 16 4 16 4 16 4
(24 * 1) = 24 = 24 = 24 = 24 (24 * 1) = 24 = 24 (24 + 29) = 47 77 (24 * 1) = 24 24 (24 * 1) = 24 24 (24 * 1) = 24 24 (24 * 1) = 24 24
-67
-74
7
(((7 - 2) * 2) - ((2 + 5) + 2)) =
((5 * 2) - ((2 + 5) + 2)) = ((5 * 2) - (7 + 2)) = (10 - (7 + 2)) = (10 - 9) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
((3 * 2) - ((2 + 5) + 2)) = ((3 * 2) - (7 + 2)) = (6 - (7 + 2)) = (6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
0
-8
8
(((1 + 6) * (8 - 3)) + (9 - (5 - 8))) =
((7 * (8 - 3)) + (9 - (5 - 8))) = ((7 * 5) + (9 - (5 - 8))) = ((7 * 5) + (9 - -1)) = (35 + (9 - -1)) = (35 + 10) = 55 = 65 (65) = 55 = 65
((1 * (8 - 3)) + (9 - (5 - 8))) = ((1 * 5) + (9 - (5 - 8))) = ((1 * 5) + (9 - -3)) = ((1 * 5) + 14) = (5 + 14) = 19) = 19) = 19) = 19) =
-5
-17
12
(((4 + 9) * 9) * ((8 - 4) + 4)) =
(13 * 9) * ((8 - 4) + 4)) = (13 * (13 + 4)) = (13 * 17) = 331 = 331 (5 + 34) = 51 = 66 (5 * 34) = 51 = 66 (5 * 34) = 66 = 66
(15 * 9) = (135) = 255 = 245 = 245 = 255 = 245 = 245 = 235 = 235 = fashion ; (235 = 235) = 285 = 285 = rewards ; (245 = 285) = 95 = 95 = 95 = 95 = 95 = 95 = 95 = 95 = 95 = 95 = 95 = 85 = 85 = 85
-36
-62
26
(((3 - 1) - (4 * 7)) - (8 + (6 - 3))) =
((2 - (4 * 7)) - (8 + (6 - 3))) = ((2 - 28) - (8 + (6 - 3))) = ((2 - 28) - (8 + 3)) = (26 - (8 + 3)) = (26 - 11) = 15 = 11 = 11 = 11 = 11
(2 - (4 * 7)) + (8 + (6 - 3))) = (2 - (4 * 7)) + (8 + (6 - 3))) = (2 - 14) + (8 + 3) = (2 - 11) = -9 = -9 = -9 = -9 = -9 = -9 = -9
-8
-38
30
(((2 * 9) * 4) + 7) =
((18 * 4) + 7) = (72 + 7) = 85 = 85 = 35 = 65 = 35 (35 + 7) = 85 = 85 (35 + 5) = 90 (35 + 5) = 85 (45 - 85) = -50 (35 - 85) = -45 (45) =
(18 * 4) + 7 (18 * 4) - 7 (18 * 4) - 7 (18 * 4) - 7 6 (18 * 4) - 7 14 (18 * 4) - 7 -72 ((18 * 4) - 7) - 7 -14 (18 * 4
-2
-104
102
(((1 + 9) * (8 + 3)) + (5 * 7)) =
((10 * (8 + 3)) + (5 * 7)) = ((10 * 11) + (5 * 7)) = (110 + (5 * 7)) = (110 + 35) = 175 (35 - 35) = 0 (0 + 0) = 0 0 (0 + 0) = 0 0 (0
((10 * (8 + 3)) + (5 * 7)) = ((10 * 11) + (5 * 7)) = (10 * 7) = 70 = 70. 70 (10 + 70) = (10 + 70) = 80. 90 (10 + 70) = 85. 85 (10 + 70
-18
-30
12
(((9 - 9) - 3) - 7) =
(0 - 7) = (-7 - 7) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14) = (14 + -14) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(0 - 3) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (3 - 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0
-9
-16
7
(((3 * 9) - (7 * 7)) * (8 - 4)) =
((27 - (7 * 7)) * (8 - 4)) = ((27 - 28) * (8 - 4)) = ((27 - 7) * 4) = (5 * 4) = 20 = 80 = 80 = 80 (5 * 4) = 20 = 20 10 = 100 = 20 20 = 100
(27 - (7 * 7)) * (8 - 4) = (27 - 49) = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22) = -22 = -22 = -22 = -22 = -22 = -22 = -22) = -22 =
-12
-38
26
(((5 + 3) - (9 + 5)) * ((1 * 6) + 8)) =
((8 - (9 + 5)) * ((1 * 6) + 8)) = ((8 - 14) * ((1 * 6) + 8)) = ((8 - 14) * (6 + 8)) = ((8 - 14) * (6 + 8)) = (-6 * (6 + 8)) = (-6 * 18) = -
(8 - (9 + 5)) * ((1 * 6) + 8) = (8 - 14) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
-23
-64
41
(((7 * 1) * 4) * 7) =
(7 * 4) = 28 = 56 = 56 = 56 = 56 = 56 (28 = 56) = 56 = 56 = 56 (28 = 56) = 56 = 56 (28 = 56) = 56 (28 = 56) = 56 48 (28 = 56) = 56 28 (28 = 56) =
(7 * 7) = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497) = 42 = 497 = 492 = 492
-14
-15
1
(((3 * 9) - 2) + 7) =
(27 - 2) = 25 = 27 = 27 = 27 = 27 (2 + 7) = 9 = 13 = 22 = 22 (2 + 9) = 13 = 19 11 (2 - 9) = -7 -7 ((2 - 9) + 7) = -7 -7 (2 - 9
(27 - 2) = 25 (27 - 2) = 25 (27 - 2) = 25 (27 - 2) = 25 (27 + 2) = 29 41 (17 + 2) = 19 27 (17 + 2) = 17 21 (17 + 2) = 19 21 (
-14
-20
6
(((2 + 5) + (3 + 6)) + 4) =
((7 + (3 + 6)) + 4) = ((7 + 11) + 4) = (18 + 4) = 22 = 28 = 28 = 28 (2 + 4) = (6 + 4) = 10 = 26 (6 + 4) = 26 (6 + 4) = 26 (6 +
(7 + (3 + 6)) = (7 + 9) = 20 = 23 = 23 = 23 = 23 (7 + 9) = 26 = 29 = 30 (7 + 9) = 34 = 34 5 4 2 3 4 5 4 4
-4
-21
17
(((6 * 7) - (1 + 3)) + ((5 + 3) + 8)) =
(42 - (1 + 3)) = (42 - 4) = 38 (42 - 4) = 34 (42 - 34) = 16 (42 - 34) = 14 4 (26 - 29) = 5 -1 (3 - 4) = -1 -1 (2 - 2) = 1
(42 + (1 + 3)) = (42 + 4) = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 (42 - 4) = (42 = 87) = 87 = 87 (42 + 4) = 46 = 50 = 46 (42 - 4) = 46 = 46
-77
-79
2
(((5 - 8) * (4 - 1)) * (4 * (9 + 1))) =
((-3 * (4 - 1)) * (4 * (9 + 1))) = ((-3 * 3) * (4 * (9 + 1))) = ((-3 * 3) * (4 * 10)) = (-9 * (4 * 10)) = ((-3 * 10) * 40) = (-9 * 40) = -
(3 * (4 - 1)) * (4 * (9 + 1))) = (3 * (4 - 1) * (4 * (9 + 1))) = (3 * (4 - 1) * (4 * 10)) = (3 * 7) = 21 = 21 = 21 = 0 = 0 = 0 = 0 = 0 =
-18
-45
27
(((5 + 7) - 7) * ((5 - 5) + 6)) =
(12 + (5 - 7)) = (12 + -2) = 10 = 8 = 8 (8 - 10) = -2 = -2 (8 - 2) = -2 282 = 286 4 (8 + 4) = 12 16 (8 - 4) = 12 8 (8 - 4)
(12 - 7) = 5 = 3 = 3 = 3 = 3 (12 + 7) = (19) = 26 = 35 (19) = 35 (19) = 35 (35) = 35 (35) = 35 (35) = 35 (35) = 35 (35) = 35 (35
-54
-59
5
(((5 + 1) * (2 * 2)) + 9) =
((6 * (2 * 2)) + 9) = (6 * 2) = 12 = 24 = 48 = 72 = 72 = 72 (3 + 72) = 75 = 81 = 126 = 129 (3 + 72) = 75 = 81 (3 + 72) = 75 (3 + 72) = 75 (3 +
(-6 * (2 * 2)) = (6 * 4) = 24 = 12 = 12 + 8 = 20 = 20. 12 (8 - 8) = 0.2 0.2 (2 - 6) = -4 -4 (2 + 4) = 6 6 2 (3 - 4)
-16
-20
4
(((9 + 7) * 3) * ((3 * 1) - 1)) =
((16 * 3) * ((3 * 1) - 1)) = (48 * ((3 * 1) - 1)) = (48 * 1) = 484 = 484 = 484 = 484 = 484 = 484 = 484 = 484 (4878 - 4877) = 1 = 1 = 1 = 1 =
(16 * 3) = 48 = 48. 48 = 48. = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48.3 = 48
-23
-59
36
(((5 - 8) + (4 + 9)) * 7) =
((-3 + (4 + 9)) * 7) = ((-3 + 13) * 7) = (10 * 7) = 70 = 70 (70 = 70) = 70 (70 = 70) = 70 (70 = 70) = 70 (70) = 70 1 (70) = 70 1
(3 + (4 + 9)) = (3 + 13) = 16 = 16 = 16 = 16 = 16 (3 + 13) = (16) = 16 = 16 (16) = 16 2 3 4 3 4 4 4 4 4
0
-23
23
(((5 + 9) * (7 * 5)) - (5 * 6)) =
(14 * (7 * 5)) - (5 * 6) = (14 * 35) - (5 * 6) = 70 = 70 (70 - 70) = 0 = 0 0 = 0 0 = 0 (0 - 0) = 0 0 0 = 0 0 0 = 0 0 0 =
(14 * (7 * 5)) - (5 * 6) = (14 * 35) = 140 = 140 = 140 = 140 = 20 = 20 = 20 = 20 8 = 20 - 20 0 0 0 2 2 0 2 0 0 0
-26
-37
11
(((6 + 2) + (4 - 9)) - ((5 + 5) - 6)) =
{9 + (4 - 9)) - ((5 + 5) - 6)) = (9 + (4 - 9)) - ((5 + 5) - 6)) = (9 + -5) = (9 + -5) = 4 (9 + -5) = 4 (9 + -5) = 4 (9 +
(8 + (4 - 9)) - ((5 + 5) - 6)) = (8 + -5) = 3 = 3 = 3 = 3 (8 + -5) = 3 = 3 (8 + -5) = 3 (8 + -5) = 3 1 (8 + -5) 1
-52
-69
17
(((6 - 9) + 6) + 3) =
(3 + 3) = 6 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (3 + 6) = 9 = 9 = 9 = 9 = 9) = (3 + 9) = 9 = 9 = 9) = (3 + 9) = 9 = 9
(3 + 6) = 9 = 12 = 12 = 12 = 12 = 12 (3 + 6) = 9 = 15 = 18 = 18 (3 + 6) = 9 = 9 (3 + 6) = 9 (9 + 9) = 18 (18 + 18) = 36 (18
-15
-16
1
(((1 * 3) + 8) * ((7 * 4) - (6 - 8))) =
((3 + 8) * ((7 * 4) - (6 - 8))) = ((3 + 8) * (28 - (6 - 8))) = ((3 + 8) * (28 - -2)) = (11 * (28 - -2)) = (11 * 30) = 330 = 330 (30)
(3 * ((7 * 4) * (6 - 8))) = (3 * (4 * (6 - 8)) * ((6 - 8) + 6)) = (3 * (4 * 2)) = (3 * 2) = 6 = 6 = 6 Did you receive this Glefe? Merry Christmas Stamp icon Secret
0
-55
55
(((7 * 7) + 3) - (6 * 4)) =
(49 + (6 * 4)) = (49 + 24) = 73 = 112 (49 + 24) = 89 (49 + 49) = 89 (49 + 89) (100) - (89) - 2 - 93 (100 - (89 + 3)) = (100 - 91) - 2 - 3
(49 + 3) = 52 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59) = (49 + 9) = 50 = 50 with 13 remaining 13 = 13 = 13 =
-32
-36
4
(((7 * 3) - 4) + ((7 * 2) * 8)) =
(21 - 4) = 175 = 169 = 169 = 169 = 169 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (9 - 9) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(21 - 4) = 17 = 13 = 13 = 13 = 13 = 13 = 13 From (21 - 4) = (17 - 11) = 8 = 5 = 2 From (18 - 4) = (14 - 14) = 0 From (14 - 14) = 0 0 = 0 0 = 0 0 =
-62
-63
1
(((9 + 1) + 4) + (1 - 8)) =
(10 + 4) = 14 kay (8 + 4) = 18 (14 + 14) = 28 . you (16 + 18) = 28 (28) = 44 (44) = 44 . (44) = 44 . (44) = 44 . (44) = 44 . (44) =
(10 + 4) = 14 + 14. 30 (10 + 34) = 44g = 58 + 44. 74 (10 + 44) = 54 = 58. 74 (10 + 38) = 49 49 (10 + 38) = 49 39 (10 + 38) = 49 54 (10
-38
-48
10
(((9 - 3) - (7 + 9)) - 2) =
((6 - (7 + 9)) - 2) = ((6 - 17) - 2) = (-11 - 2) = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13) = -13 = -13 = -13 = -13 = -
(6 - (7 + 9)) = (6 - 16) = -10 = -10 = -10 = -10 (6 - 16) = -10 = -10 = -10 (6 - 14) = -8 = -8 -2 ((6 - 14) - 2) = -8 = -8 -6
-4
-20
16
(((2 + 2) * 9) - (5 * 1)) =
(6 * 9) - (5 * 1) = (6 * 9) - 1 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (6 * 9) - (5 * 1) = 9 = 9 = 9 = 9 =
(4 * 9) = 36 up = 72 = 72 = 72 = 72 = 72 (72 up = 72) = 72 = 72 = 72 (72 up = 72) = 72 (72 = 72) = 72 (72) = 72 (72) = 72 (72) = 72 (72) = 72
-17
-35
18
(((6 - 7) + (3 - 8)) + 6) =
((-1 + (3 - 8)) + 6) = ((-1 + -5) + 6) = (-6 + 6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 That’s a good insight in the chief executive at Garmin. He wants to use the Omnipad
(1 + (3 - 8)) = (1 + -5) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
0
-23
23
(((9 + 8) + (1 - 8)) - 6) =
((17 + (1 - 8)) - 6) = ((17 + -7) - 6) = (9 - 6) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 (9 + 6) = 21 = 45 (21 - 21) = 0 (21) = 0 (21) =
(19 + (1 - 8)) = (19 + -7) = 12 = 7 = 5 = 5 = 5 (19 + -7) = 12 = 5 (11 - 5) = 8 (11 + 11) = 12 (11 + 11) = 12 (12) = 8 (12) = 8
-3
-22
19
(((9 + 4) + (2 * 9)) - ((5 * 3) + 2)) =
((13 + (2 * 9)) - ((5 * 3) + 2)) = ((13 + 18) - ((5 * 3) + 2)) = ((13 + 18) - (15 + 2)) = (31 - (15 + 2)) = (31 - 17) = 11 = 8 + 6) = 6 = 6 + 6)
((15 + (2 * 9)) - ((5 * 3) + 2)) = ((15 + 18) - ((5 * 3) + 2)) = (29 - ((5 * 3) + 2)) = (29 - 10) = 19 - 14. 3 ((29 - 10) - (7 + 2)) = (19 + 9
-1
-50
49
(((5 * 2) + (7 - 2)) + (1 + (3 + 8))) =
((10 + (7 - 2)) + (1 + (3 + 8))) = ((10 + 5) + (1 + (3 + 8))) = ((10 + 5) + (1 + 11)) = (15 + (1 + 11)) = (15 + 12) = 27 = 54 (6 + 27) = 39 (6
(10 + (7 - 2)) = (10 + 5) = 15 + 15 = 25 = 50 = 50 = 50 = 50 = 50 (10 + 15) = 25 = 50 (25 + 50) = 85 (25 + 85) = 85 100 (40 + 85) = 85
0
-75
75
(((4 - 5) + (5 * 1)) - (9 * 8)) =
((1 + (5 * 1)) - (9 * 8)) = ((1 + 5) - (9 * 8)) = ((1 + 5) - 72) = (6 - 72) = -66 = -66 = -66 0 0 0 0 0 0 0
(1 + (5 * 1)) = (1 + 5) = 6 = 6 (1 + 6) = 7 (7 + 6) = 13 13 (7 + 7) = 14 21 (7 + 9) = 22 23 (7 + 9) = 22 23 (7 + 9) =
-6
-64
58
(((1 + 8) * (3 + 3)) * (9 + 4)) =
((9 * (3 + 3)) * (9 + 4)) = ((9 * 6) * (9 + 4)) = ((9 * 6) * 11) = (54 * 11) = 54 = 54 = 54 = 54 1 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 =
((9 * (3 + 3)) * (9 + 4)) = ((9 * 6) * (9 + 4)) = (54 * (9 + 4)) = (54 * 13) = 282 (54 * 28) = 168 54 (5460 + 494) (74) = 14 70 (54
-5
-18
13
(((7 + 8) - 1) * ((5 - 3) - (1 * 3))) =
((15 - 1) * ((5 - 3) - (1 * 3))) = ((15 - 1) * (2 - (1 * 3))) = ((15 - 1) * (2 - 3)) = (14 * (2 - 3)) = (14 * -1) = -14 = -14 = -14 = -
((9 - 1) * ((5 - 3) - (1 * 3))) = (9 * ((5 - 3) - (1 * 3))) = (9 * (2 - (1 * 3))) = (9 * (2 - 3)) = (9 * -1) = -9 = -9 = -9
0
-30
30
(((3 * 1) + (3 + 7)) - ((8 - 9) + (5 + 9))) =
((3 + (3 + 7)) - ((8 - 9) + (5 + 9))) = ((3 + 10) - ((8 - 9) + (5 + 9))) = ((3 + 10) - (1 + (5 + 9))) = (-13 - (1 + 9)) = (-13 - 10) = -23 =
((3 + (3 + 7)) - ((8 - 9) + (5 + 9))) = ( ((3 + 10) - ((8 - 9) + (5 + 9))) = ((3 + (8 - 9) + (5 + 9))) = ((3 + -1) - (-1 - (5 + 9))) = ((3 +
-28
-39
11
(((6 + 6) - 7) - ((7 * 9) - (6 * 4))) =
((12 - 7) - ((7 * 9) - (6 * 4))) = ((12 - 7) - (63 - (6 * 4))) = ((12 - 7) - (63 - 24)) = (5 - (63 - 24)) = (5 - 45) = -40 = -40 The next figure shows again
(12 - 7) = 5 = 3 = 3 = 3 = 3 = 3 = 3 (18 - 7) = 11 = 7 = 7 (11) = 7 = 7 (11) = 7 (11) = 7 (7) = 7 (7) = 7 (7) = 7 (7)
-6
-97
91
(((3 - 2) + (7 + 2)) + (6 * 1)) =
((1 + (7 + 2)) + (6 * 1)) = ((1 + 9) + (6 * 1)) = ((1 + 9) + 6) = (10 + 6) = 14 = 18 = 18 (10 + 6) = 34 = 44 ((10 + 6) + 6) = 44 (4 - 6)
((1 + (7 + 2)) + (6 * 1)) = ((1 + 9) + (6 * 1)) = ((1 + 9) + 6) = (10 + 6) = 16 + 6 = 26 (16 + 6) = 22 + 22 (16 * 6) = 66 + 66 0 (16
-1
-4
3
(((8 - 2) - (9 * 6)) - 9) =
((6 - (9 * 6)) - 9) = ((6 - 54) - 9) = (-48 - 9) = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57) = (57 - 57) = 0 = 0 = 0 = 0 = 0 = 0 =
~~ (6 - (9 * 6)) = ( (6 - 54) = (-54) = -54 = -54 = -54 = -54 = -54 = -34) = -54 = -54 = -54 = -34 = -34 = -34 = -34) = -54 = -54 = -54 = -34
0
-20
20
(((6 * 5) - (5 - 6)) * 1) =
((30 - (5 - 6)) * 1) = ((30 - -1) * 1) = (31 * 1) = 31 = 61 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 =82 + 62 = 98. 10 (6 - 32)
(30 - (5 - 6)) = (30 - 1) = 29 = 28 = 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 = 3 = 2 = 2
0
-23
23
(((9 - 4) * 7) * (4 * (3 * 4))) =
((5 * 7) * (4 * (3 * 4))) = ((5 * 7) * 12) = (35 * 12) = 420 = 540 = 90 = 90 = 90 (5 * 12) = 90 = 90 = 90 (5 * 12) = 90 = 90 T (10) = 90 =
____ (7 * 7) = (7 * 7) = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497 = 497) = 497 = 497
-23
-59
36
(((2 + 5) - 7) - 7) =
((7 - 7) - 7) = (0 - 7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = (0 - 7) = -7 = -7 = -7 = -7 = -7 = -
(7 - 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 (1 - 3) = (2 - 7) = (2 - 7) = -5 = -3 = -
0
-16
16
(((7 + 9) * (3 + 6)) + 1) =
(17 * (3 + 6)) = (17 * 9) = 108 = 108 = 108 = 108 = 816 (18 * 9) = 108 = 108 = 108 = 816 (18 * 9) = 108 = 108 = 108 = 816 (18 * 9) = 108 = 108 = 816 8
(16 * (3 + 6)) = (16 * 9) = 96 = 96 (144) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216 (216) = 216
-24
-27
3
(((8 * 2) + 7) - (1 - (8 - 7))) =
((16 + 7) - (1 - (8 - 7))) = ((16 + 7) - (1 - 1)) = (23 - (1 - 1)) = (23 - 0) = 22 = 22 = 22 (22 - 22) = 2 = 2 (22 - 2) = 2 = 2 (2 -
(16 + 7) = 22 + 31 = 53 (22 + 31) = 53 (22 + 31) = 73 (22 + 31) = 83 (22 + 73) (82 - 83) = -5 -3 (82 - 83) = -5 -3 (82 - 83) = -
-1
-59
58
(((2 * 1) + (2 + 4)) - 6) =
((2 + (2 + 4)) - 6) = ((2 + 6) - 6) = (8 - 6) = 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 + 4)) = (2 + 6) = 8 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 0) = 10 = 10 = 10 = 10 = 10 =10 = 10 = 10 = 10 = 10 = 10
0
-20
20
(((6 - 6) + 3) - 1) =
(0 + 3) = (3 + 1) = 4 = 4 = 4 = 4 = 4 (4 + 1) = 5 = 5 (4 + 1) = 5 (4 + 1) = 5 (4 + 1) = 5 5 (4 + 1) = 5 5 (4 + 1) =
(0 + 3) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 (2 - 1) = (1 - 1) = 0 = 0 = 0 = 0 = 0 0 (2 - 1) = 0 = 0 = 0 0 (1 - 1) = 0
-8
-13
5
(((4 * 1) - 2) - 8) =
(4 - 2) = (2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (6 + -6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(4 - 2) = 2 (2 - 8) = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6 (6 - 6) = 0 = 0 0 (6 + 0) = 0 0 (6 + 0) = 0
-6
-8
2
(((8 + 4) - 8) + ((5 + 5) - 1)) =
((12 - 8) + ((5 + 5) - 1)) = ((12 - 8) + (10 - 1)) = (4 + (10 - 1)) = (4 + 9) = 13 = 19 = 19 (13 + 19) = 36 = 53 (13 + 17) = 54 (34 +
((12 - 8) + ((5 + 5) - 1)) = (4 + ((5 + 5) - 1)) = ((4 + 6) + (10 - 1)) = (4 + (4 - 1)) = (4 + 3) = 7 = 11 = 11 (4 + 3) + (7 - 2) =
0
-29
29
(((8 - 9) - 5) - ((5 - 2) + 9)) =
((-1 - 5) - ((5 - 2) + 9)) = ((-1 - 5) - (3 + 9)) = ((-1 - 5) - 12) = (-6 - 12) = -18 = -18 = -18 = -18 Maybe the full 18 isn't going to cross the border to be a surprise
(-1 - (5 + 9)) = (1 - 14) = -13 = -13 = -13 = -13 = -13 (13 - 6) = 11 = 7 (11) = 11 = 7 1 = 7 1 = 7 1 = 7 1 = 7 1 = 7 1 = 7 1 =
-7
-47
40
(((9 - 2) + (7 - 7)) * 9) =
((7 + (7 - 7)) * 9) = ((7 + 0) * 9) = (7 * 9) = 63 = 63) = 63 = 608 = 609 = 609) = 60 = 60 = 0 (0 = 0) = 0) = 0) = 0) = 0) = 0) = 0)
((7 + (7 - 7)) * 9) = ((7 + 0) * 9) = (7 * 9) = 93 = 93 = 93 = 93 = 93 = 93 = 93 = 93 = 93 (93 = 93) = 90 = 93 = 93 = 93 = 93 = 93 (9 + 93) = 102 = 102 =
0
-1
1
(((2 - 6) * (1 * 3)) * 1) =
((-4 * (1 * 3)) * 1) = ((-4 * 3) * 1) = (-12 * 1) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = -12 = -12 = -12 = -
($2 * (1 * 3)) = ($2 * 3) = 6 = 6 = 6 = 6 = 6 = 6 If you consider (6 * 6) = 6 = 6 = 6 = 6 If (6 * 6) = 6 = 6 = 6 0 = 6 = 6 1 (6 * 6) = 6
0
-31
31
(((2 * 1) * (9 + 5)) + (7 - 1)) =
((2 * (9 + 5)) + (7 - 1)) = ( (9 * 13) + (7 - 1)) = ((2 * 13) + 6) = (26 + 6) = 34 = 50 = 74 (26 + 6) = 34 = 54 (26 + 6) = 34 (26 + 6) =
(2 * (9 + 5)) = (2 * 14) = 28 = 46 (2 * 14) = 56 = 62 (2 * 14) = 44 (2 * 14) = 56 (2 * 14) = 56 8 (2 * 14) = 56 56 (2 * 14) = 56
-5
-45
40
(((4 - 4) - (9 - 8)) * ((6 - 4) * 9)) =
((0 - (9 - 8)) * ((6 - 4) * 9)) = ((0 - 1) * ((6 - 4) * 9)) = (0 * ((6 - 4) * 9)) = (0 * (2 * 9)) = (0 * 18) = 0 = 0 = 0 = 0 = 0 = 0 = 0
(0 - (9 - 8)) * ((6 - 4) * 9) = ((0 - 1) * 9) = (-1 * 9) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -
-18
-49
31
(((7 - 4) + (4 - 5)) + ((5 * 6) * 9)) =
((3 + (4 - 5)) + ((5 * 6) * 9)) = ((3 + -1) + ((5 * 6) * 9)) = ((3 + -1) + (30 * 89)) = (2 + (30 * 89)) = (2 + 5) = 7 = 7 = 7 02 base 5 = 7
(3 + (4 - 5)) = (3 + -1) = 2 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 2 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
-7
-83
76
(((9 * 6) - (8 - 4)) * ((8 + 5) * (7 - 5))) =
((54 - (8 - 4)) * ((8 + 5) * (7 - 5))) = ((54 - 4) * ((8 + 5) * (7 - 5))) = ((54 - 4) * (13 * (7 - 5))) = (54 * (13 * 4)) = (54 * 52) =
(54 - (8 - 4)) = (54 - 4) = 50 = 46 = 46 (50 - 4) = 46 = 46 (46 + 44) = 80 (46 - 4) = 44 (46 - 44) = 8 2 (46 - 4) = 44 42 (46 - 44) =
-28
-124
96
(((6 - 1) - (1 * 2)) + (2 - 5)) =
((5 - (1 * 2)) + (2 - 5)) = ((5 - 2) + (2 - 5)) = ((5 - 2) + -3) = (3 + -3) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
(5 - (1 * 2)) + (2 - 5) = (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 = 1
-1
-36
35
(((1 * 9) - 5) * ((3 + 4) * (2 + 6))) =
((9 - 5) * ((3 + 4) * (2 + 6))) = ((9 - 5) * (7 * (2 + 6))) = ((9 - 5) * (7 * 8)) = (4 * (7 * 8)) = (4 * 56) = 224 = 224 = 224 = 64 = 64 = 64 = 4
((9 - 5) * ((3 + 4) * (2 + 6))) = ((9 - 5) * (7 * (2 + 6))) = (4 * (7 * (2 + 6))) = ( 4 * 10) = 20 = 80 = 80 = 80 (80) = 80 0 = 80
0
-27
27
(((8 * 3) * (3 * 5)) - (2 - (9 - 3))) =
(24 * (3 * 5)) - (2 - (9 - 3))) = (24 * 15) - (2 - (9 - 3))) = (24 * 15) - (2 - 6)) = (24 - (2 - 6)) = (24 - -4) = 28 = 52) = 64) = 64) = 64
(24 * (3 * 5)) = (16 * 15) = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240 = 240
-12
-83
71
(((6 - 4) * 5) * 5) =
(2 * 5) = 10 = 20 = 20 (2 * 5) = 20 = 20 (10 = 20) = 30 (20 = 30) (10 = 30) (10 = 30) The two biggest issues for underprivileged in the US are lack of education and healthcare. 3 (2 * 5
(2 * 5) = 10 = 20 10 (2 * 5) = 10 10 (2 * 5) = 10 10 6 2 2 5 7 7 10 7 7 10 7 7 10 7 10 10 10 10 10 10 10
-13
-22
9
(((3 - 4) - (8 + 9)) + ((2 + 9) * 6)) =
((-1 - (8 + 9)) + ((2 + 9) * 6)) = ((-1 - 17) + ((2 + 9) * 6)) = ((-1 - 17) + (11 * 6)) = (-17 + (11 * 6)) = (-17 + 66) = 49 = 43 = 43 (43
((-1 - (8 + 9)) + ((2 + 9) * 6)) = ((-1 - 17) + ((2 + 9) * 6)) = ((-1 - 17) + (11 * 6)) = ((-1 - 17) + (11 * 6)) = (-18 + (11 * 6)) = (-18 +
-3
-19
16
(((3 + 8) + 2) + (3 * 9)) =
((11 + 2) + (3 * 9)) = ((11 + 2) + 27) = (13 + 27) = 40 = 70 = 70 = 70 = 70 (1 + 70) = 71 = 71 (1 + 71) = 71 (1 + 71) = 71 (1 + 71) = 71
(11 + (2 + 3)) = (11 + 5) = 18 = 23 = 23 = 23 (11 + 5) = 18 = 23 = 23 (11 + 13) = 34 = 34 (34 + 34) = 62 9 6 2 9 2 9
0
-26
26
(((8 - 8) - (7 * 1)) * 7) =
(0 - (7 * 1)) = (0 - 7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 (0 - (7 *
(-4 - (7 * 1)) = (-4 - 7) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11) = -11
-22
-25
3
(((4 - 3) - (8 * 8)) * ((1 * 1) - 2)) =
((1 - (8 * 8)) * ((1 * 1) - 2)) = ((1 - 64) * ((1 * 1) - 2)) = ((1 - 64) * (1 - 2)) = (63 * (1 - 2)) = (63 * -1) = -63 = -63 = -63 = -63 =
((1 - (8 * 8) * ((1 * 1) - 2)) * ((1 * 1) - 7)) = {1 - (8 * 8)) = ((1 - 64) * ((1 * 1) - 7)) = ((1 - (8 * 8)) * ((1 * 1) - 7)) = ((1 - 64)
-3
-67
64
(((1 - 5) * 4) + 2) =
(-6 * 2) = -12 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (1 + 6) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 for 7 = 7 = 7 =
(4 * 4) = 16 = 16 = 16 If 4 = 16, 4 = 16 0 (4 * 16) = 64 64 (4 * 16) = 64 64 (4 * 16) 64 (4 * 16) 32 (4 * 16) 64 (4 * 16)
-17
-19
2
(((1 * 6) + (9 + 2)) + 7) =
((6 + (9 + 2)) + 7) = ((6 +11) + 7) = (17 + 7) = 24 = 37 = 26 (17 + 7) = 42 = 55 (17 + 7) = 50 (35 + 5) = 50 (35 + 5) = 50 (
((6 + (9 + 2)) + 7) = ((6 + 13) + 7) = (19 + 7) = 26 = 39 = 39 = 39 (19 + 7) = 56 = 67 (19 + 7) = 72 (74 + 72) = 146 (74 + 72) = 146 (74 + 74
-1
-3
2
(((6 * 8) * (6 * 4)) * 3) =
((48 * (6 * 4)) * 3) = ((48 * 24) * 3) = (192 * 3) = daily = 288 = 288 = 288 = 288 = 288 (192 - 2) = (192 a) = 2 = 194 (194 + 2) = 200 = 202 2 = 2 (206
(48 * (6 * 4)) = (48 * 12) = 48 = 48 (48 * 12) = 432 (48 * 12) = 432 0 = 432 0 = 432 0 = 432 0 = 432 0 = 432 0 = 432 0 = 432 0
-6
-34
28
(((4 - 3) * 9) - 1) =
((1 * 9) - 1) = (9 - 1) = 8) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7) = 7)
(1 * 9) - 1 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 7) = 9 = 9 = 9 = 9 = 9) = 9 = 9 = 9 = 9
-1
-9
8
(((8 * 2) * (9 * 2)) * 1) =
((16 * (9 * 2)) * 1) = ((16 * 18) * 1) = (48 * 1) = 48 (48 * 1) = 48 (48) = 48 (48) = 48 (48) = 48 (48) = 48 0 (48 * 1) = 48 48
(16 * (9 * 2)) = (16 * 18) = 48 = 96 = 96 = 96 = 96 (16 * 18) = 178 = 192 = 192 (16 * 18) = 388 = 488 (16 * 18) = 88 = 176 (176) = 176 8 (
-10
-23
13
(((5 * 5) - 6) - 5) =
(25 - 6) = 19 = 13 = 13 = 13 = 13 (25 - 6) = 19 = 19 (25 - 6) = 16 (19 + 14) = 27 (19 + 13) = 42 (19 + 4) = 47 (47) = 47 (47) = 47 1 (
(25 - 6) = 19 = 15.2 (25 - 6) = 19 = 13.3 9 (25 - 6) = 19 13 ((25 - 6) - 13) = seventh -3 ((25 - 6) - 13) = fifth -43 (25 - 6) = 19 17
-13
-22
9
(((3 - 3) + 1) + ((2 - 7) + 7)) =
(0 + (1 + (2 - 7)) + ((2 - 7) + 7)) = (0 + (1 + (2 - 7)) + 7) = (0 + (1 + 7)) = (0 + 6) = 6 = 6 = 6 = 6 = 6 = 6
(0 + (1 - 7)) = (0 + -6) = -6 = -6 = -6 = -6 = -6 = -6 (0 + -6) = -6 = -6 = -6 = -6 = -6 (0 + -6) = -6 = -6 = -6 = -6
-28
-48
20
(((3 + 2) - (2 - 5)) + (5 + 5)) =
((5 - (2 - 5)) + (5 + 5)) = ((5 - -3) + (5 + 5)) = ((5 - -3) + 10) = (8 + 10) = 18 = 28 = 28 (8 + 10) = 38 = 48 (8 + 10) = 58 (8 + 10)
((7 - (2 - 5)) + (5 + 5)) = ( (1 - -3) + (5 + 5)) = (7 + (5 + 5)) = (7 + 10) = 17 = 27 (7 + 17) = 28 (7 + 17) = 28 (7 + 17) = 28 (7
0
-13
13
(((9 * 8) * 9) - ((2 + 4) + (6 + 1))) =
(( 68 * 9) - ((2 + 4) + (6 + 1))) = (( 68 * 9) - (6 + (6 + 1))) = (108 + (6 + (6 + 1))) = (108 + (6 + 7)) = (108 + 13) = 145 = 200 = 200 = 200 = 200
(72 * 9) = 72 = 678 = 678 = 678 = 678 = 678 = 678 = 678 = 678 (72 + 6) = (78 + 6) = 78 = 78 (78 + 6) = 78 (78 + 6) = 78 (78 + 6) = 78 9
-23
-89
66
(((8 - 7) + (3 * 6)) + (2 - (8 * 5))) =
(1 + (3 * 6)) + (2 - (8 * 5))) = ((1 + 18) + (2 - (8 * 5))) = (1 + (1 + 30) + (2 - 40)) = (1 + 31) = 32 = 33 = 32 = 32 = 32 = Suggested Applications for App((1 + 31)
((1 + (3 * 6)) + (2 - (8 * 5))) = ((1 + 18) + (2 - (8 * 5))) = (1 + 18) = 19 = 19 (19 = 19) = 30 (19 = 19) = 30 (30) = 30 (30) = 30 (30)
-31
-39
8
(((2 - 9) - 7) + ((9 * 4) * 3)) =
(7 - 7) = {(7 - 7) + ((9 * 4) * 3)) = (7 - 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 make = -0 = 0 = 0 = 0 make = 0 make =
(7 - 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 1 (7 - 7) = 0 = 0 = 0 = 0 1 (7 - 7) = 0 0 (1 - 7) = -6 - 7 -6 (1 + 8) = 6 9
-52
-68
16
(((2 * 2) * (4 + 9)) - 6) =
(4 * (4 + 9)) = (4 * 13) = 52 = 52 = 52 = 52 = 52 = 52 (52 - 52) = 0 = 0 = 0 = 0 = 0 0 (5 - 8) = -3 -3 (4 - 3) = 1 1 (4 - 3) = 1
(4 * (4 + 9)) = (4 * 17) = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 = 68 =
-20
-22
2
(((2 * 3) * 4) - (8 * 3)) =
((6 * 4) - (8 * 3)) = ((6 * 4) - 24) = (24 - 24) =0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(6 * 4) - (8 * 3) = (6 * 4) = 24 = 12 = 12 = 12 = 12 = 12 - 12 = 0 = 0 + 6 2 = 12 - 12 2 8 = 8 4 4 8 8 8 higher 8 8 8 8 8
0
-18
18
(((8 + 4) - (4 + 5)) * ((8 - 5) + 5)) =
((12 - (4 + 5)) * ((8 - 5) + 5)) = ((12 - 9) * ((8 - 5) + 5)) = ((12 - 9) * (3 + 5)) = (3 * (3 + 5)) = (3 * 8) = 24 = 481 (24 * 8) = 96
((12 - (4 + 5)) * ((8 - 5) + 5)) = ( ((12 - 11) * ((8 - 5) + 5)) = ( ((12 - 11) * 2)) = (1 * 2) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
0
-30
30
(((8 - 1) - (6 + 3)) * ((4 - 7) * 4)) =
((7 - (6 + 3)) * ((4 - 7) * 4)) = ((7 - 9) * ((4 - 7) * 4)) = ((7 - 9) * (-3 * 4)) = (-2 * (-3 * 4)) = (-2 * 12) = -24 = -24 = -24 1.1
((7 - (6 + 3)) * ((4 - 7) * 4)) = ((7 - 9) * ((4 - 7) * 4)) = ((7 - 9) * (-4 * 4)) = ((7 - 9) * -8) = (-2 * -8) = -16 = -16 (16 + -
-2
-14
12
(((7 * 3) - (5 - 2)) + 9) =
(21 - (5 - 2)) = (21 - 3) = 18 = 18 = 18 = 18 = 18 ((21 - 3) - 9) = (18 - 9) = 9 = 5 r (18 - 9) = 9 = 5 3 (18 - 9) = 9 9 (18 + 9) = 27
(21 - (5 - 2)) = (21 - 3) = 18 = 15 (18 = 15) = 9 (9 = 15) = 9 (9 = 15) = 9 (9 = 15) = 9 (9 = 15) = 9 3 (9) = 9
-20
-23
3
(((3 * 8) - 2) + (6 + (9 - 7))) =
(24 - 2) = 22 = 22. (24 + 2) = 26 = 28. (24 + 2) = 26 = 26. Half of the 26 is usually good, but the opposite can be better as well. (24 + 2) = 26 = 26. (26) = 26. Which is
(24 - 2) = 22 = 24 = 28 (22 - 22) = 7 (22 - 2) = 24 (22 - 2) = 48 34 (2 - 7) = -5 -7 (2 - 7) = -5 -7 (2 - 7) = -5 -9
-60
-63
3
(((7 * 9) - (5 - 8)) * 1) =
((63 - (5 - 8)) * 1) = ((63 - -3) * 1) = (65 * 1) = 65 = 65 (65 * 1) = 65 (65) = 65 (65) = 65 0 (65) = 65 0 (65) = 65 0 (65)
(63 - (5 - 8)) = (63 - -3) = 66 = 69 = 69 (66 + -69) = -15 = -3 = -3 = -3 (2 - 30) = -28 = -28 -26 (2 - 30) = -28
-2
-19
17
(((8 - 5) - 8) * (7 - 1)) =
((3 - 8) * (7 - 1)) = (-5 * (7 - 1)) = (-5 * 6) = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 (30 + 6) = 42 = 42 (30 + 42) = 126
(3 - 8) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = (5 - 5) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
-8
-34
26
(((9 * 4) - (1 - 6)) - ((7 + 9) + (3 + 5))) =
((36 - (1 - 6)) - ((7 + 9) + (3 + 5))) = (36 - (1 - 6)) = (36 - -5) = 41 = 46 (6 - -5) = 7 (6 - -5) = 7 7 (6 - -5) = 7 11 (
(36 - (1 - 6)) = (36 - -5) = 41 = 44 = 44 = 44 = 44 = 44 = 44 = 44 = 64 = 64 = 64 (84 + -5) = 79 = 79 = 79 (84 - 5) = 79 = 79 Be (1 + 5) = 5 = 5 0
-85
-120
35
(((1 + 2) * 4) - (5 - (1 * 4))) =
((1 * 4) - (5 - (1 * 4))) = ((1 * 4) - (5 - 4)) = (4 - (5 - 4)) = (4 - 1) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = nor) = 0 = 0 = and
(3 * 4) = 12 = 24 = 24 = 24 = 24 (3 * 4) = 48 = 48 = 32 (3 * 4) = 48 = 48 (24 - 48) = -24 (24 - 48) = -12 -24 (24 - 24) = 0 0 (24 - 24
-8
-58
50
(((1 + 5) * 3) - 6) =
((6 * 3) - 6) = (18 - 6) = 12 = 6 = 6 = 6 = 6 = 6 (18 - 6) = 6 = 6 = 6 = 6 (18 - 6) = 42 = 36 (18 - 6) = 24 = 24 (18 - 6) = 18 (18 - 6)
(6 * 3) - 6 = 18 = 18 = 18 = 18 (18 + 2) = 20 = 22 (10 + 2) = 22 (18) = 22 (18) = 22 (2) = 22 (2) = 22 26 (2) = 22 Mat 105 Mat 94 Mat
0
-9
9
(((5 - 8) - (6 + 5)) + 8) =
((3 - (6 + 5)) + 8) = ((3 - 11) + 8) = (-8 + 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 The present invention offers an improved method for stop contact components to ground. I intentionally went through all of the various toroidal structures that were known at
(3 - (6 + 5)) = (3 - 11) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) =
-8
-23
15