question
stringlengths
22
46
response_j
stringlengths
11
474
response_k
stringlengths
5
482
score_j
float64
-131
0
score_k
float64
-209
-1
magnitude
float64
1
189
(((8 + 1) * (6 - 7)) * (3 + (6 - 7))) =
((9 * (6 - 7)) * (3 + (6 - 7))) = ((9 * -1) * (3 + (6 - 7))) = ((9 * -1) * (3 + -1)) = (-9 * (3 + -1)) = (-9 * 2) = -18 = -18
((9 * (6 - 7)) * (3 + (6 - 7))) = ((9 * -1) * (3 + (6 - 7))) = (((9 * -1) * (3 + -1)) * (3 + 1)) = (9 * (3 + 1)) = (9 * 4) = 36 =
0
-22
22
(((3 * 9) - 2) - (9 * (2 * 2))) =
((27 - 2) - (9 * (2 * 2))) = ((27 - 2) - (9 * 4)) = (25 - (9 * 4)) = (25 - 36) = -11 = -11 = -11 (11 - 36) = -15 = -11
(27 - 2) = 25 = 23 = 23 (27 - 2) = 25 = 23 (27 - 2) = 25 = 23 (27 - 2) = 25 (27 - 2) = 25 (27 - 2) = 25 (27 - 2) = 25 (27
0
-67
67
(((9 + 4) - 7) - (4 - (5 * 7))) =
((13 - 7) - (4 - (5 * 7))) = ((13 - 7) - (4 - 35)) = (6 - (4 - 35)) = (6 - -31) = 37 = 47 = 58 = 39 = 38 (46 - -1) = 49 = 50 (46 - -1)
((13 - 7) - (4 - (5 * 7))) = (6 - (4 - (5 * 7))) = (6 - (4 - 35)) = (6 - -29) = 34 = 35 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 =
0
-12
12
(((4 + 9) + (1 * 6)) + (5 * 9)) =
(13 + (1 * 6)) + (5 * 9) = (13 + 6) = 19 = 30 = 30 = 30 = 30 = 30 = 30 = 30 (30 - 30) = 10 = 10 (10 + 10) = 10 (10 + 10) = 30 10 ((10 + 10) + 30) =
(13 + (1 * 6)) = (13 + 6) = 21 = 27 = 27 (27 + 6) = 33 (27) = 33 (27) = 33 (33) = 33 (33) = 33 (33) = 33 (33) = 33 (33) = 33 (33
-39
-56
17
(((4 - 7) + (7 + 8)) - 7) =
((-3 + (7 + 8)) - 7) = ((-3 + 15) - 7) = (12 - 7) = 7 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = (10 - 5) = 5 = 5 = 5 = 5
((-3 + (7 + 8)) - 7) = ( ((-3 + 15) - 7) = (12 - 7) = 5 = 3 (12 - 7) = 5 (12 - 7) = 5 ((12 - 7) - 5) = 2 (12 - 5) = 3 (12 +
-1
-2
1
(((5 * 2) - (5 - 9)) * (8 - (4 + 1))) =
((10 - (5 - 9)) * (8 - (4 + 1))) = ((10 - -4) * (8 - (4 + 1))) = ((10 - -4) * (8 - 5)) = (14 * (8 - 5)) = (14 * 3) = 42 = 42 = 42 (42 - 42) =
idents (5 - (5 - 9)) = iders (5 - -4) = (9 - -4) = 13 = 19 = 19 = 19 (13 - -4) = 17 = 21 (13 - -4) = 21 (13 - -4) = 21 (13 + -4) = 21 (
0
-76
76
(((1 * 5) - 1) * 9) =
(5 - 1) = 4.3 (4 - 1) = 3.3 (4 - 1) = 3.3 (4 - 1) = 3.3 (4 - 1) = 3.3 (4 - 1) = 3.3 (4 - 1) = 3.3 (4 -
(5 - 1) = 4, = 3.2 (5 - 1) = 4, = 3.2 (5 - 1) = 4, = 3.2 (5 - 1) = 4, = 3.2 (4 - 3) = 1, = 1.2 (1 - 1) = 1,
-18
-20
2
(((6 * 4) * 6) * ((9 + 4) - 1)) =
((24 * 6) * ((9 + 4) - 1)) = ((24 * 6) * (15 - 1)) = (144 * (15 - 1)) = (144 * 14) = 192 = 486 = 276 = 72 = 72 (72) = 192 = 1128 (72) = 198 (72) = 192
(24 * 6) = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 =
-5
-61
56
(((3 * 4) + 8) * (7 - 7)) =
((12 + 8) * (7 - 7)) = ((12 + 8) * 0) = (20 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =0 = 0 = 0 = 0 = 0 = 0 = 0 =0 = 0 = 0 = 0
(12 + (8 - 7)) = (12 + 1) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (13 + 13) = 26 = 39 (83 - 27) = 56 (73 - 76) = 9 ((73 - 66) = 9) (7
0
-24
24
(((9 + 3) * 4) + 5) =
(12 * 4) + 5.7 = 27 + 5.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.7 = 27.
(12 * 4) = 48 (12 * 4) = 48 (48) = 48 36 (48) = 48 24 (48) = 48 24 (48) = 48 24 (48) = 48 24 (48) = 48 24 (48) = 48
-9
-18
9
(((7 * 3) - 1) - (7 * 8)) =
(21 - (7 * 8)) = (21 - 56) = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35) = (35 = -35) = -35 = -35 = -35 = -35 = -35 = -35 =
(21 - 1) = 20 = 21 = 21 = 21 = 21 (21 - 1) = 21 = 21 0 (21 - 1) = 21 2 (21 - 1) = 21 2 (21 - 1) = 21 2 (21 - 1) = 21 2 (21 - 1) =
-21
-40
19
(((1 + 8) + 4) * 2) =
(9 + 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) = 17 = 17) = 17) =
(9 + 4) = 15 = 19 = 22 (9 + 4) = 25 = 26 (25 + 26) = 51 (25 + 26) = 71 (71) = 71 (71) = 7 (71) = 7 7 (71) = 7 7 (71) = 7 7
-14
-15
1
(((8 + 1) - 9) + (6 + 3)) =
((9 - 9) + (6 + 3)) = ((9 - 9) + 9) = (0 + 9) = 9 = 9 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9
((9 - 9) + (6 + 3)) = (0 + (6 + 3)) = (0 + 9) = 9 = 9 = 9 = 9 = 9 = 9 (9 + 9) = 18 = 27 = 72 (9 + 9) = 51 (9 + 9) = 51 (51) = 51
0
-7
7
(((6 + 9) + (8 * 6)) + (7 + 7)) =
(15 + (8 * 6)) + (7 + 7) = (15 + 48) = 63 = 69 (63 + 69) = 216 = 324 (66 + 69) = 450 (66 + 69) = 927 (66 - 917) = -749 - 749 = -666 -5
(15 + (8 * 6)) + (7 + 7) = (15 + 42) = 57 = 75 = 75 = 75 = 75 = 75 BBQ Maryland 7 + 0 = 7 + 0 = 7 BBQ Texas 3 + 0 = 3 = 3 BBQ Kansas 2 + 0 = 3 = 3 But when we add up our contribution
-37
-40
3
(((7 * 9) * (4 + 7)) * (7 * 5)) =
(63 * (4 + 7)) = (63 * 11) = 343 = 343 = 343 = 343 (63 * 11) = 353 = 353 (63 * 11) = 353 (63) = 353 (63) = 353 (63) = 353 (63) =353 (63) = 353 (53)
(63 * (4 + 7)) = (63 * 11) = 726 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829 = 829
-50
-52
2
(((1 * 9) + (2 + 6)) + 8) =
(9 + (2 + 6)) = (9 + 8) = 17 = 23 = 23 (9 + 8) = 17 = 17 (17) = 17 (17) = 17 (17) = 17 5 5 9 9 9 9 9
(9 + (2 + 6)) = (9 + 8) = 17 = 17 = 17 = 17 (9 + 8) = 23 = 28 = 31 (9 + 8) = 29 (9 + (1 + 1)) = 29 = 29 5 (9 + 1) = 29 28 (9 + 1) =
-19
-20
1
(((5 * 8) * (3 * 8)) * (2 * (9 + 4))) =
((40 * (3 * 8)) * (2 * (9 + 4))) = ((40 * 24) * (2 * (9 + 4))) = ((40 * 24) * (2 * 13)) = (960 * (2 * 13)) = (960 * 26) = 2698 = 5286 = 5286 =
(40 * (3 * 8)) ((2 * (9 + 4))) = (40 * 36) (20) = 80 (20) = 80 (20) = 80 (20) = 80 (20) = 80 (20) = 80 (20) = 80 (20) = 80 (20) = 80 l (20) =
-3
-59
56
(((6 * 2) + 8) + 7) =
(12 + 8) = 20 + 8 = 24 = 24 = 24 = 24 = 24 = 24 Here are 7 + (6 + 7) = 34 = 51 = 51 ( 134 + 49) = 85 = 117 ( 134 + 49) = 119 = 127 ( 1197) = 117 ( 117) =
(12 + 7) = 19 = 19 (12 + 7) = 25 = 33 (12 + 7) = 29 (18 + 19) = 44 (22 + 19) = 69 (44 + 59) = 145 (44 + 55) = 189 (54 + 54) = 189
-10
-22
12
(((7 - 8) + 4) - 8) =
((-1 + 4) - 8) = (3 - 8) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = (3 - 5) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5
(-1 + 4) = (3 + 8) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11) = 1 = 1 = 1 = 1 = 11 = 11 = 11 = 11) = 1 = 1 = 1 = 11 = 11 = 11) = 1 = 1 = 11 =
0
-11
11
(((3 * 4) + 3) - (9 + (3 - 2))) =
((12 + 3) - (9 + (3 - 2))) = ((12 + 3) - (9 + 1)) = ((12 + 3) - 12) = (15 - 12) = 3 = 3 = 3 = 3 = 3 (3 - 2) = 5 = 3 = 3 (3 - 2) = 5 5
(12 + 3) = 15 + 12.1 (15 + 12.1) = 33 + 27.4 (27 + 27) = 63 + 64.5 (63 + 34) = 101 (69 + 68) = 141 (21 + 28) = 41 (67 - 41) = 34 (7 -
-9
-66
57
(((2 + 5) + 1) * 4) =
((7 + 1) * 4) = (8 * 4) = 32 (32) = 64 (64) = 64 (64) = 64 (64) = 64) = 64 (64) = 64 (64) = 64 = 64 (64) = 64 0 = 64 0 = 64 1 =
(7 + 1) = 8. 9 (7 + 1) = 8. 9 (7 + 1) = 8. 9 (7 + 1) = 8. 9 (7 + 1) = 8. 9 (7 + 1) = 8. 9 (7 + 1) = 8.
-5
-20
15
(((5 + 5) * 2) + 5) =
(10 * 2) = 20 = 40 = 80 = 80 = 80 (10 = 20) = 40 = 40 (10 = 20) = 40 Dragons and zombies only, flying with jet packs as well as flying like normal air traffic. (10 = 20) = 40 (10 = 20) =
(10 * 2) = 20. 20 (5 + 2) = 7. 7 (5 - 7) = -2 -3 (5 - 7) = -2 -3 ((5 - 7) + 2) = -2 -3 (5 - 7) = -2 - 3
-14
-19
5
(((4 - 8) * (9 - 2)) - ((5 + 8) - 9)) =
((-4 * (9 - 2)) - ((5 + 8) - 9)) = (((-4 * 7) - ((5 + 8) - 9)) = ((-4 * 7) - (7 - 9)) = ((-4 * 7) - (7 - 9)) = (-28 - (7 - 9)) = (-28
(4 * (9 - 2)) = (4 * 7) = 28 = 28 = 28 = 28 = 28 = 28 = 28 (28 + 28) = 48 = 136 = 136 4 (28 - 136) = -94 = -94 -2 (4 + 1) = 5 = 7 9 (4 +
-25
-86
61
(((5 - 1) * (7 - 8)) * (6 + 2)) =
(4 * (7 - 8)) = (4 * -1) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 =4 = -4 = -4 = -4 = -4 Follow @Dist4Tra flash account so you can take a break from
(4 * (7 - 8)) = (4 * -1) = -4 = -4 = -4 = -4 (4 * -1) = -4 = -4 = -4 (4 * -1) = -4 = -4 (4 * -1) = -4 (4 * -1)
-47
-54
7
(((1 + 6) - 2) + ((8 * 6) - (3 - 6))) =
((7 - 2) + ((8 * 6) - (3 - 6))) = ((7 - 2) + (24 - (3 - 6))) = (5 + ((24 - (3 - 6))) = (5 + (24 - -3)) = (5 + 26) = 31
((7 - 2) + ((8 * 6) - (3 - 6))) = ((7 - 2) + (48 - (3 - 6))) = (5 + ((6 - 48) - (3 - 6))) = (5 + (48 - (3 - 6))) = (5 + -33) = -29 =
-19
-25
6
(((1 + 2) * 2) + (9 * 4)) =
((3 * 2) + (9 * 4)) = ((3 * 2) + 36) = (6 + 36) = 42 = 42 = 42 = 42 (42 + 46) = 8 + 8 (8 + 8) (8 - 8) (2 + 4) (2 + 4) (2 + 4)
(3 * 2) + (9 * 4) = (3 * 4) + 24 = 72 = 144 = 144 (84 + 74) = 233 = 497 (84 + 94) = 593 (94 + 94) = 593 (134 - 13) = 167 7 (84 + 94) = 593
0
-17
17
(((1 * 9) * (3 * 5)) - ((2 - 8) * (6 + 5))) =
((9 * (3 * 5)) - ((2 - 8) * (6 + 5))) = ((9 * 15) - ((2 - 8) * (6 + 5))) = ((9 * 15) - (-6 * (6 + 5))) = ((9 * 15) - (-6 * 11)) = (9 - (-6 * 11))
((9 * (3 * 5)) - ((2 - 8) * (6 + 5))) = ((9 * 15) - ((2 - 8) * (6 + 5))) = ((9 * 15) - -6) = ( full - -6) = - 6 = -6 = -6 = -6 =
-17
-52
35
(((2 + 8) - 8) * ((8 * 7) * (1 * 7))) =
((14 - 8) * ((8 * 7) * (1 * 7))) = ((14 - 8) * (56 * (1 * 7))) = ((14 - 8) * (56 * 7)) = (6 * (56 * 7)) = (6 * 56) = 336 = 106 = 66 = 26 (66) =
((10 - 8) * ((8 * 7) * (1 * 7))) = ((10 - 4) * (56 * (1 * 7))) = (2 * (56 * 7)) = (2 * 70) = 170 = 410 = 70 = 70 = 70
-11
-28
17
(((5 * 5) - 5) - ((5 - 5) + (6 - 1))) =
((25 - 5) - ((5 - 5) + (6 - 1))) = ((25 - 5) - (0 + (6 - 1))) = ((25 - 5) - (0 + 5)) = (20 - (0 + 5)) = (20 - 5) = 15 = 10 = 10 = 10 = 10
(25 - 5) = 20 = 15 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10) = (250 + 10) = 275 = 275 = 275 = 25 = 275) = 260 = 275
0
-88
88
(((8 - 8) + (8 * 7)) - ((7 - 4) - (5 * 4))) =
((0 + (8 * 7)) - ((7 - 4) - (5 * 4)))) = ((0 + 56) - ((7 - 4) - (5 * 4))) = ((0 + 56) - (7 - (5 * 4))) = ((0 + 56) - (7 - 20)) = (56 - (7 - 20))
(0 + (8 * 7)) - ((7 - 4) - (5 * 4))) = (0 + 28) - (28 - (5 * 4)) = (0 + (28 - 20)) = (0 - 8) - (28 - 8) = 12 - 8 = 4 = 4 ((7 - 8) - (8 -
-16
-74
58
(((2 - 9) - 7) - 8) =
((-7 - 7) - 8) = (-14 - 8) = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 =
(7 - 7) = (0 - 8) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -
0
-14
14
(((5 + 1) * 6) - 1) =
(6 * 6) = 672 = 372 = 484 = 484 = 484 (6 * 6) = 672 = 72 = 484 = 484 (6 * 6) = 36 = 36 12 36 48 48 32 44 8 8
(6 * 6) = 36 = 36. 36 (6 - 6) = (0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6 = -6 = -6
-15
-22
7
(((8 + 2) - (9 * 7)) - 5) =
((10 - (9 * 7)) - 5) = ((10 - 63) - 5) = (-53 - 5) = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 (58 - 58) = 0 = 0 = 0
(10 - (9 * 7)) - 5) = (10 - 63) = -53 = -53) = -53 = -53) = 0 = 0 = 0 = 0 = 0 1 1 1 1 1 1 1 1 1 1
0
-16
16
(((5 - 3) - 3) + 7) =
((2 - 3) + 7) = (-1 + 7) = 6 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = 0 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = 0 = 5
((2 - 3) + 7) = (1 + 7) = 8 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 : 9 = 9 = 9 = 9 = 9 = 9 = 9) = 9 = 9 = 9 = 9 = 9 =
0
-2
2
(((6 + 4) * (9 - 4)) + ((7 * 2) - (4 + 3))) =
((10 * (9 - 4)) + ((7 * 2) - (4 + 3))) = ((10 * 5) + ((7 * 2) - (4 + 3))) = ((10 * 5) + (14 - (4 + 3))) = ((10 * 5) + (14 - 7)) = (50 + (14 - 7
((10 * (9 - 4)) + ((7 * 2) - (4 + 3))) = (((10 * 5) + ((7 * 2) - (4 + 3))) = ((10 * 5) + (14 - (4 + 3))) = ((10 * 5) + (14 - 7)) = (50 + (14 - 7
-12
-13
1
(((5 + 8) - (4 + 2)) - 6) =
((13 - (4 + 2)) - 6) = ((13 - 6) - 6) = (7 - 6) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
(13 - (4 + 2)) = (13 - 6) = 7 = 5 = 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
-19
19
(((5 * 7) + 2) - 9) =
((35 + 2) - 9) = (37 - 9) = 32 = 23 = 23 = 23 = 22 (37 - 9) = 26 = 19 17 (37 - 9) = 23 16 ((37 - 9) - 17) = (26 - 17) = 9 7 (35 + 9) =
(35 + 2) = 38 = 38. 38 (35 + 2) = 37 67 (35 + 2) = 37 39 ( 35 + 2) = 37 37 (35 + 2) = 37 37 (35 + 2) = 37 37 (35 + 2) = 37 37
-2
-25
23
(((3 - 1) + (1 * 5)) * 2) =
(2 + (1 * 5)) * 2 = (2 + 5) = 7 = 9 = 9 = 9 = 9 = 9 (9 + 9) = 18 = 27 = 36 = 51 9 (9 - 9) = 0 0 (6 - 9) = -3 -3 -3 3 7
((2 + (1 * 5)) * 2) = (4 + (1 * 5)) = ((2 + 5) * 2) = (7 * 2) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18
-16
-20
4
(((8 + 3) * 9) - ((6 * 6) + 6)) =
((11 * 9) - ((6 * 6) + 6)) = (99 - ((6 * 6) + 6)) = (99 - 36) = 63 = 57 = 51 = 51 = 51 (69 - 36) = 33 = 27 = 16 (69 + 26) = 27 (69 + 46) = 21 (
(11 * 9) = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99 = 99
-26
-60
34
(((3 * 1) + (7 - 3)) + 5) =
(3 + (7 - 3)) = ((3 + 4) + 5) = (7 + 5) = 12 = 17 = 17 2 (7 + 5) = 22 7 ((7 + 5) + 5) = 22 27 2 (7 + 5) = 22 33 6 (6 + 11
(3 + (7 - 3)) = (3 + 4) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7
-6
-20
14
(((8 * 4) + (2 - 3)) + (9 * (3 + 1))) =
((32 + (2 - 3)) + (9 * (3 + 1))) = {32 + (2 - 3) + (9 * (3 + 1))) = ((32 + -1) + (9 * 4)) = ((32 + -1) + 36) = (31 + 36) = 73 = 73 = 73
(32 + (2 - 3)) + (9 * (3 + 1))) = (32 + -1) + (9 * (3 + 1))) = (32 + -1) + (9 * 4)) = (32 + -1) = 31 (31 - 1) + (32 + (32 + 4)) = (31
-17
-34
17
(((3 + 4) + 4) * ((6 - 3) * (1 + 5))) =
((7 + 4) * ((6 - 3) * (1 + 5))) = ((7 + 4) * (3 * (1 + 5))) = (11 * (3 * (1 + 5))) = ((7 + 4) * (3 * 6)) = (11 * 6) = 66 = 66 (66)
(7 + (4 * (6 + 3))) = (7 + (4 * 9) * (1 * (1 + 5))) = (7 + 18) = 25 = 36 = 36 = 36 = Pan (36 = 36) = 36 = 36 = 36 = 36 = 36 = 36 E reflect (36) = 36 + 76 =
-21
-61
40
(((5 + 3) * 7) * 7) =
((8 * 7) * 7) = (56 * 7) = 2808 = 2848 = 2848. 8 (56 + 1) = 57 59 (56 * 7) = 77 49 (56 + 7) = 69 77 (56 * 7) = 77 77 (56 * 7) =
(8 * 7) = 56 = 76 = 76 = 76 = 76 1.8 = 76 = 76 1.8 = 76 3 1.8 = 76 3 1.8 1 1.8 1 7 1.8 1 1
-4
-15
11
(((7 - 7) + (9 * 4)) - 8) =
(0 + (9 * 4)) = (0 + 36) = 36 = 36 = 36 = 36 (36) = 36 = 36 (36) = 36 (36) = 36 (36) = 36 0 (36 ) = 36 12 (16) = 36 52 8 (36) =
(0 + (9 * 4)) = (0 + 24) = 24 = 24 = 24 = 24 = 24 (0 + 24) = 24 = 24 = 24 1 3 4 5 8 6 8 8 8 8 8
-20
-23
3
(((3 - 4) - (2 - 3)) * ((4 - 3) * 8)) =
((1 - (2 - 3)) * ((4 - 3) * 8)) = ((1 - -1) * ((4 - 3) * 8)) = (1 * (4 * 8)) = (1 * 32) = 64 = 64. 32 (1 * 32) = 64 = 64. 32 (1 * 32)
((-1 - (2 - 3)) * ((4 - 3) * 8)) =
-37
-69
32
(((1 * 7) + (9 * 4)) + ((5 * 1) + 9)) =
((7 + (9 * 4)) + ((5 * 1) + 9)) = ((7 + 36) + ((5 * 1) + 9)) = ((7 + 36) + (5 + 9)) = scrimmage (36 - (5 + 9)) = scrimmage (36 - 14) = (22 - 14) = 6 = 4 = 4
(7 + (9 * 4)) = (7 + 24) = 33 = 43 (33 = 43) = 43 = 43 (43 = 43) = 43 = 43
-15
-75
60
(((6 * 6) * (8 * 6)) * 6) =
(36 * (8 * 6)) = (36 * 48) = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616 = 616) = 616 = 616 = 616 = 616 = 616 = 616 =
(36 * (8 * 6)) = (36 * 48) = (144 = 48) =96 = 48 = 48 = 48 (96 + 48) = 132 = 180 = 72 (96 + 72) = 168 (168) = 168 (48) = 168 (48) = 168
-24
-25
1
(((5 + 2) - (5 + 5)) - 2) =
((7 - (5 + 5)) - 2) = ((7 - 10) - 2) = (-3 - 2) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -
((7 - (5 + 5)) - 2) = ((7 - 10) - 2) = (-7 - 2) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -
0
-3
3
(((2 + 7) + 1) + 8) =
((9 + 1) + 8) = (10 + 8) = 18 = 26 (10 + 8) = 26 (26 + 26) = 46 (26 = 46) = 78 (26 = 86) = 114 70 (26 = 34) = 74 70 (26 = 34) = 74 114 (
(9 + 8) = 17 = 26 = 26 3 = 17 + 8 = 23 2 = 25 + 7 2 = 28 + 7 2 = 28 14 28 14 7 27 3 9 6 6 6 6
0
-15
15
(((8 - 7) + (8 - 2)) + (5 * 6)) =
((1 + (8 - 2)) + (5 * 6)) = ((1 + 6) + (5 * 6)) = ((1 + 6) + 30) = (7 + 30) = 37 = 46 listed below. Cliché (7) + 30 = 37 = 37 listed below. If you are like 80%
(1 + (8 - 2)) = (1 + 6) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 =
0
-46
46
(((9 - 5) * (5 * 3)) - 1) =
((4 * (5 * 3)) - 1) = ((4 * 15) - 1) = (60 - 1) = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 =
((4 * (5 * 3)) - 1) = ((4 * 15) - 1) = (40 - 1) = 39 = 39 = 39 = 39 = 39 = 39 Attention (2 + 39) = (41 + 9) = 50 = 49 = 49 Data Analysis (2 + 51) = (41 + 9)
0
-2
2
(((6 + 4) * (1 - 9)) - (7 + (5 * 1))) =
((10 * (1 - 9)) - (7 + (5 * 1))) = ((10 * -8) - (7 + (5 * 1))) = ((10 * -8) - (7 + 5)) = (80 - (7 + 5)) = (80 - 12) = 68 = 68 (68 + 68
(10 * (1 - 9)) - (7 + (5 * 1))) = (10 * (1 - 9) - (7 + (5 * 1))) = (10 * (1 - 9) - (7 + 5)) = (10 * (1 - 9) - 8) = (10 * -8) = -40 = -
-15
-32
17
(((5 + 6) * 3) + 8) =
(11 * 3) = 33 (33) = 66 (66) = 90 (90) = 90) = 90 (33 * 3) = 99 (99) = 131 (131) = 177 (177) = 177 (33 * 3) = 99 (99) = 171 (171) = 171 (33 *
(11 * 3) = 33 * 8. 39 (11 + 3) = 14 14 (11 + 14) = 25 29 (11 + 14) = 33 49 (11 + 14) = 25 39 (11 + 14) = 29 45 (11 + 14) = 29 39
-17
-27
10
(((6 + 4) - 8) * (2 - 5)) =
((10 - 8) * (2 - 5)) = (2 * (2 - 5)) = (2 * -3) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
(10 - 8) = 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 = 0 = 0
-9
-38
29
(((6 + 5) - 5) * ((8 * 9) * (7 - 2))) =
((11 - 5) * ((8 * 9) * (7 - 2))) = ((11 - 5) * (72 * (7 - 2))) = (6 * (72 * 5)) = (6 * 72) = 72 = 72 = 72 = 102 (72 = 92) = 682 = 282 = 282 (72 =
(11 * ((8 * 9) * (7 - 2))) = (11 * (8 * (7 - 2))) = (11 * (8 * 5)) = (11 * (8 * 5)) = (11 * 40) = 440 = 80 = 80 = 80 Do 10 and 80 have the same number? 30 (10
-27
-33
6
(((8 - 2) + 2) * (5 + (9 * 3))) =
(6 + (2 + (9 * 3))) = (6 + 18) = 24 = 30 = 30 = 30 = 30 (24 + 24) = 60 = 90 = 90 (24 + 30) = 180 = 360 (180 + 180) = 380 (180) = 380 = 380 80 Should 9 = 9?
(6 + 2) = 8. 8 (6 + 2) = 8. 10 (6 + 2) = 10 12 (6 - 8) = -2 -2 (6 + 2) = 8 10 (6 - 2) = 4 8 (6 - 2) = 4 2
-44
-57
13
(((7 * 3) - (7 * 8)) + ((3 - 7) * 3)) =
((21 - (7 * 8)) + ((3 - 7) * 3)) = ((21 - 56) + ((3 - 7) * 3)) = ((21 - -1) + (-4 * 3)) = (25 + (-4 * 3)) = (25 + -12) = 13 = 11 = 11 = 11
(21 - (7 * 8)) + ((3 - 7) * 3)) = (21 - 56) + (7 * 3) = (21 + 21) = 48 = 81 = 81 (21 + 21) = 96 = 81 (21 - 21) = 6 (6 - 6) = 0 0 (1 + 2
-12
-63
51
(((9 + 5) - 8) - ((4 + 6) + (7 * 4))) =
((14 - 8) - ((4 + 6) + (7 * 4))) = (6 - (-4 + (7 * 4))) = (6 - (4 + 28)) = (6 - 32) = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26
(14 - 8) = 6... (8 - 8) = 6... (6 - 6) = 6... (6 - 6) = 6... 0 = 6... 0 = 6... 0 = 6... 0 = 6... 0 = 6... 0 = 6... 0 = 6... 0
-39
-85
46
(((9 - 3) * (3 - 9)) + 6) =
((6 * (3 - 9)) + 6) = ((6 * -6) + 6) = (-36 + 6) = (-30 + 6) = -24 = -24 = -24 = -24 = -24 (6 + 6) = (30 + 6) = 42 = 54 = 42 (30 + 6
(6 * (3 - 9)) = (6 * -6) = -36 = -36 = -36 = -36 = -36 = -36 = -36 = -36 = -36 occupants = 171 (6 * -6) = -36 = -36 = -36 (6 * -6) = -
-8
-20
12
(((2 * 3) - 8) * ((9 * 6) * 2)) =
((6 - 8) * ((9 * 6) * 2)) = ((6 - 8) * (54 * 2)) = (2 * (54 * 2)) = (2 * 82) = 170 = 202 (2 * 82) = 170 = 202 (2 * 82) = 302 482 ((2 * 82) + 202)
((6 - 8) * ((9 * 6) * 2)) = (2 * ((9 * 6) * 2)) = (2 * 246) = 482 = 992 = 96 (48 + 96) = 132 = 180 = 72 (72 + 180) = 132 = 198 (66 - 180) = 694 = 6
-19
-40
21
(((9 - 3) + 1) + (4 * (8 - 7))) =
((7 + 1) + (4 * (8 - 7))) = (8 + (4 * (8 - 7))) = (8 + (4 * 1)) = (8 + 1) = 9 = 9 = 9
((6 + 1) + (4 * (8 - 7))) = ((6 + 1) = (7 + (4 * (8 - 7))) = ((6 + 1) = (7 + 1)) = (7 + 1) = 8 = 8 Friday = 8 = 8 = 8 = 8 = 8 = 8 = 8
-15
-28
13
(((1 + 4) * 4) - 8) =
((5 * 4) - 8) = (20 - 8) = 12 = 8 = 8 = 8 (20 - 8) = (12 + 8) = 26 = 34 (20 - 8) = 16 = 16 (16 + 8) = 24 (16 + 16) = 36 (36 + 16
(5 * 4) = 20 (20) = 20 (20) = 20 (20) = 20 0 (20) = 20 20 (20) = 20 40 (20) = 20 20 (20) = 20 20 (20) = 20 20 (20) = 20
0
-16
16
(((2 - 9) - (5 * 3)) * 4) =
((-7 - (5 * 3)) * 4) = ( (-7 - 15) * 4) = -22 = -22 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) =
(7 - (5 * 3)) = (7 - 15) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 = -8 = -8 = -8 = -8 = -
-12
-24
12
(((8 - 4) - (5 - 8)) - 4) =
((4 - (5 - 8)) - 4) = ((4 - -3) - 4) = (7 - 4) = 3 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
(4 - (5 - 8)) = (4 - -3) = 7 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = 9 = 9
0
-19
19
(((2 + 9) + (6 - 4)) * 4) =
((11 + (6 - 4)) * 4) = ((11 + 2) * 4) = (13 * 4) = 52 = 52 = 52 (13 * 4) = 52 = 52 (13 * 4) = 52 (52) = 52 0 0 0 1 0
(11 + (6 - 4)) = (11 + 2) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 =13 = 13 = 13 = 13 = = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
0
-20
20
(((4 - 2) + (3 * 1)) + 7) =
((2 + (3 * 1)) + 7) = ((2 + 3) + 7) = (5 + 7) = 1259 = 1384 = 1384 (12 + 7) = 19 = 27 (17 + 13) = 34 51 (17 + 13) = 44 53 (17 + 13) =
(2 + (3 * 1)) = ((2 + 3) + 7) = (5 + 7) = 12 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 (5 + 7) = 18 = 23 (2 + 5) = 23 (2 + 7) = 19 27 (2 +
-2
-6
4
(((3 + 4) * (4 + 1)) - 4) =
((7 * (4 + 1)) - 4) = ((7 * 5) - 4) = (35 - 4) = 31 = 25 = 25 = 25 (9 + 4) = 29 = 35 (9 + 4) = 35 (1 - 35) = -34 - 33 = -34 - 34 = 36
((7 * (4 + 1)) - 4) = (7 * 5) = 35 = 35) = 35 = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35) = 35
0
-14
14
(((2 + 7) + 1) - 9) =
((9 + 1) - 9) = (10 - 9) = 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
(9 + 1) = 10 = 11 = 11 = 11 = 11 = 11 (11 - 11) = 0 (11 + 1) = 10 (11) = 10 (11) = 10 (10) = 10 (10) = 10 (10) = 10 (10) = 10 0 (
0
-13
13
(((5 + 6) - 6) + 4) =
((11 - 6) + 4) = (5 + 4) = 9 painted animals on walls. (9 + 4) = 17 painted animals on walls. (9 + 4) = 17 painted animals on walls. (9 + 4) = 17 painted animals on walls. (9 + 4) = 17 painted animals on walls.
(11 - 6) = 5 = 3 = 3 = 3 = 3 (11 + 6) = 17 (17) = 17 (17) = 17 (17) = 17 1 (17) = 17 (17) = 17 1 (17) = 17 1 (17) = 17 1
-11
-13
2
(((6 * 3) - (5 * 7)) + ((6 - 4) + 2)) =
((18 - (5 * 7)) + ((6 - 4) + 2)) = ((18 - 35) + ((6 - 4) + 2)) = ((18 - 35) + (2 + 2)) = (-23 + (2 + 2)) = (-23 + 4) = -19 = -19 = -19 The 19 =
((18 - (5 * 7)) + ((6 - 4) + 2)) = ((18 - 35) + ((6 - 4) + 2)) = ((18 - 5) + (2 + 2)) = (13 + (2 + 2)) = (13 + 4) = 17 = 17 (17 + 4) = 23
-6
-16
10
(((9 + 4) - (3 * 2)) - ((3 + 6) - 4)) =
((13 - (3 * 2)) - ((3 + 6) - 4)) = ((13 - 6) - ((3 + 6) - 4)) = (7 - ((3 + 6) - 4)) = (7 - (9 - 4)) = (7 - 5) = 2 (7 - 5) = 2 = 2 (
(13 - (3 * 2)) = (13 - 6) = 7 (7) = 5 (7) = 5 (7) = 5 (7) = 5 (7) = 5 (7) = 5 (7) = 5 0 (7) = 5 During the summer, I was
-16
-74
58
(((2 * 3) - (4 + 1)) * ((3 - 8) * (3 * 8))) =
((6 - (4 + 1)) * ((3 - 8) * (3 * 8))) = ((6 - 5) * ((3 - 8) * (3 * 8))) = ((6 - 5) * -5) = (1 * -5) = -5 = -5 = -5 = -5 = -5 = -
(6 - (4 + 1)) * ((3 - 8) * (3 * 8)) = (6 - 8) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
-54
-95
41
(((4 - 5) * 8) + ((1 + 5) - (6 + 5))) =
(1 * 8) + ((1 + 5) - (6 + 5))) = (1 * 8) + (6 - (6 + 5))) = (1 * 8) + (6 - 11)) = (1 + (6 - 11)) = (1 + -5) = -4 = -4 = -4 = -4 =
(1 * 8) + ((1 + 5) - (6 + 5))) = (1 * 8) + (8 - (6 + 5))) = (1 * 8) + (8 - 11)) = (1 * 8) + (8 - 11)) = (1 * 8) + (8 - 11)) =
-14
-32
18
(((1 - 8) * (8 - 7)) + 1) =
((-7 * (8 - 7)) + 1) = ((-7 * 1) + 1) = (-7 + 1) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
(-7 * (8 - 7)) = (-7 * 1) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -
0
-20
20
(((1 * 7) * 2) - 1) =
(7 * 2) = 14 = 28 = 34 = 4 (7 * 2) = 14 = 28 = 28 = 4 4 (7 * 2) = 14 = 28 = 4 16 (7 * 2) = 14 = 28 28 (7 * 2) = 14 28 (7 * 2) = 14
(7 * 2) = 14 (7 * 2) = 14 2 (7 * 2) = 14 14 (7 * 2) = 14 14 (7 * 2) = 14 14 (7 * 2) = 14 14 (7 * 2) = 14 14 (7 * 2) =
-14
-20
6
(((5 - 8) + (3 + 1)) * 1) =
((-3 + (3 + 1)) * 1) = ((-3 + 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 =
((-3 + (3 + 1)) * 1) = ((-3 + 4) * 1) = ((-3 + 4) * 1) = (1 * 1) = 1 (1 * 1) = 1 (1 * 1) = 1 0 (1 * 1) = 1 1 1 1 1
0
-14
14
(((4 - 9) + (4 + 7)) * 7) =
((-5 + (4 + 7)) * 7) = ((-5 + 11) * 7) = (6 * 7) = 42 = 42 = 42 = 42 = 42 = 42 (6 * 7) = 42 = 42 = 42 = 42 (6 * 7) = 42 = 42 = 42 1
(5 + (4 + 7)) = (5 + 11) = 18 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13) = 13 = 13 = 13 = 13 = 13) = 13 = 13 = 13 = 13) = 11 = 11 = 13) = 11 = 13) = 11 = 11) = 11) =
0
-23
23
(((9 + 2) + (7 + 5)) * ((2 - 1) + (1 * 4))) =
((11 + (7 + 5)) * ((2 - 1) + (1 * 4))) = ((11 + 12) * ((2 - 1) + (1 * 4))) = ((11 + 12) * (1 + (1 * 4))) = ((11 + 12) * (1 + 4)) = (23 * (1 + 4
((11 + (7 + 5)) * ((2 - 1) + (1 * 4))) = ((11 + 12) * ((2 - 1) + (1 * 4))) = ((11 + 12) * (1 + (1 * 4))) = (33 * (1 + (1 * 4))) = (33 * 4
-13
-29
16
(((6 + 1) * 3) - ((3 * 2) + 8)) =
((7 * 3) - ((3 * 2) + 8)) = ((7 * 3) - (6 + 8)) = (21 - (6 + 8)) = (21 - 14) = 7 = 5 = 4 = 4 = 4 = 4 = 4 From the data collected, we can see that the neighborhood with the highest safe polling is
(7 * 3) - ((7 * 2) + 8)) = (7 * 3) - (14 + 8) = 21 - 29 -4 ((7 * 3) - (14 + 8)) = (7 * 3) - (14 + 8) = 21 - 29 -5 Echelon 5 = 4 - 4
0
-47
47
(((9 - 3) + 2) - (1 - 9)) =
(6 + (1 - 9)) = (6 + -8) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
(6 + 2) = 8 + 8 = 16 = 16 = 16 = 16 = 16 =16 = 16 = 16 =16 = 16 =16 =16 =16 =16 = 16 =16 =16 =16 =16 =16 =16 =16 =16 =16
-21
-30
9
(((1 + 3) * 4) * ((2 - 5) + 4)) =
((2 * 4) * ((2 - 5) + 4)) = ((2 * 4) * (-3 + 4)) = (-8 * (-3 + 4)) = (-8 * 1) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8
((4 * 4) * ((2 - 5) + 4)) = ((4 * 4) * (-3 + 4)) = ((4 * 4) * (1 + 4)) = (16 * (1 + 4)) = (16 * 5) = 60 = 60 (16 * 5) = 60 60 0.
-8
-21
13
(((8 + 1) - 1) - (7 + 1)) =
((9 - 1) - (7 + 1)) = (9 - (7 + 1)) = (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
(9 - (1 - 1)) = (9 - 0) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = (9 - 0) = 9 = 9 = 9 = 9 = 9 (9 - 9) = 6 = 6 = 6 (9 - 9) = 6 = 6 (6
-8
-23
15
(((4 * 5) * 6) + (5 * (1 + 1))) =
((20 * 6) + (5 * (1 + 1))) = (80 + (5 * (1 + 1)))) = (80 + (5 * 2) + (5 * 2)) = (80 - 10) = 70 = 70 = 70 (70 + 70) = 135 ((70 + 70) + (50 + (
(20 * 6) + (5 * (1 + 1))) = (20 + (5 * (1 + 1))) = (20 + 2) = 22 = 22 = 22 = 1 - 22 = -21 = -21 = 1 - 22 = -21 = 1 - 21 = -21 1 - 18
-27
-29
2
(((4 * 5) - (4 - 8)) * ((1 * 3) + 6)) =
((20 - (4 - 8)) * ((1 * 3) + 6)) = ((20 - -2) * ((1 * 3) + 6)) = ((20 - -2) * (3 + 6)) = (22 * (3 + 6)) = (22 * 9) = 108 = 108 (22 * 9) =
((20 - (4 - 8)) * ((1 * 3) + 6)) = = (20 - -4) = 24 = 32 = 32
-7
-61
54
(((4 * 4) + 2) * 8) =
(16 + 8) = 24 = 32 (16 + 8) = 44 (16 + 44) = 56 72 (16 + 44) = 64 80 (16 + 44) = 64 48 (16 + 44) = 64 64 (16 + 44) = 64 80 (16 + 44) =
(16 + 2) = 18. 18 (16 + 2) 26 (16 + 2) 18 (16 + 2) 18 (16 + 2) 18 (16 + 2) 18 (16 + 2) 18 (16 + 2) 18 (16 + 2) 18
-23
-86
63
(((2 * 7) - (2 - 4)) + (1 - (1 - 7))) =
(14 - (2 - 4)) = (14 - -2) = 16 = 18 = 18 (16 + -16) = 0 (16 - 16) = 0 0 (0 - 6) = -6 -6 (0 - 6) = -6 -6 (0 - 6) = -6
(14 - (2 - 4)) = (14 - -2) = 16 = 16 See FIG 3 See FIG 4 See FIG 5 See FIG 7 See FIG 8 See FIG 9 See FIG 10 See FIG 11 See FIG 12 See FIG 13 See FIG 14 See FIG 15 See FIG 16 See
-85
-108
23
(((7 * 3) + (2 * 5)) - ((5 - 3) * 5)) =
(21 + (2 * 5)) - ((5 - 3) * 5)) = (21 + 10) = 31 = 47 = 47
(21 + (2 * 5)) = (21 + 10) = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31) = 1 = 1 = 1 = 1 = 1 =
-64
-76
12
(((8 - 3) * 4) - (7 + 9)) =
((5 * 4) - (7 + 9)) = ((5 * 4) - 16) = (20 - 16) = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4) = (4
(5 * 4) - (7 + 9) = (5 * 4) - 16 = 7 = 7 = 7 = 7 = 7 = 7 = (7 + 7) = 14 = 21 = 34 (14 = 21) = 35 (14 = 21) = 35 (14 = 35) = 35 (7 + 35)
0
-14
14
(((9 + 1) + (9 * 7)) + (6 + 7)) =
(10 + (9 * 7)) = (10 + 63) = 73 = 83 = 83 = 83 (2 + 7) = 9 = 11 = 13 7 (2 + 7) = 13 = 15 17 (2 + 7) = 13 = 13 1 (2 + 7) = 13 13 (2 +
(10 + (9 * 7)) = (10 + 53) = 63 = 68 = 68 = 68 = 98 = 98 = 98 = 98 = 98 (10 + 78) = (98 = 98) = 98 = 98 = 98 1 = 98 = 98 = 98 1 = 98 = 98 1 = 98 = 98
-48
-50
2
(((3 * 3) - (3 + 9)) * ((3 + 6) + (4 + 8))) =
(9 - (3 + 9)) = (9 - 12) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
(9 - (3 + 9)) = (9 - 12) = -3 = -3 = -3 = -3 = -3
-115
-117
2
(((4 - 7) - 4) + 3) =
((-3 - 4) + 3) = (-7 + 3) = -4 = -4 = -4 (1 + -4) = -3 = -4 (1 + -4) = -3 = -3 (1 + -4) = -3 = -3 (-3 + 3) = -3
(3 + 3) = (6 + 3) = 9 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = (6 + 3) = 9 = 9 (3) = 9 (3) = 9 = 9) = 9 = 9 (6 + 9) = 9 (
0
-13
13
(((6 * 3) - (8 - 7)) + (6 + 8)) =
((18 - (8 - 7)) + (6 + 8)) = ((18 - 1) + (6 + 8)) = ((18 - 1) + 14) = (17 + 14) = 29 = 45 = 50 (34 - 14) = 30 = 24 (34 - 14) = 22 (14 - 22) = -8
((18 - (8 - 7)) + (6 + 8)) = ( ((18 - 1) + (6 + 8)) + (6 + 8)) = ((18 - 1) + 14) = (17 - 14) = 3 = 3 = 3 = 3 = 3 Let r(o) = -4*o - 5. Let z
-2
-15
13
(((5 * 9) - 1) - (6 + 5)) =
((45 - 1) - (6 + 5)) = {45 - 1) - (6 + 5) = (45 - 6) = 391 (45 - 6) - 375 = -339 = -339 (45 - 6) - 339 = -339 (45 - 6) - 69 = -339 (45 - 6)
(45 - 1) = 44 so far. (44) = 74 = 74. 30 = 94 (74 = 74) = 74 = 74 = 74 (74) = 74 = 74 0 = 34 = 74 114 + 94 = 160 (6 - 54) = -48 -42 (54 - 66) =
-26
-34
8
(((7 - 7) - 5) + 4) =
(0 - 4) = (0 - 4) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4) = (4 - 4) =
(0 - 4) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
-11
-14
3
(((7 + 6) - (1 - 4)) - 3) =
((13 - (1 - 4)) - 3) = ((13 - -3) - 3) = (16 - 3) = 13 = 11 = 11 = 11 = 11 = 11 = 11 = (11 = 11) (11 = 11) = 11 = 11 = 11 = 11 = 11 = 11) = 11 = 11 = 11 = 11
((13 - (1 - 4)) - 3) = (1 - (1 - 4)) = (1 - -3) = 4 = 5 = 5 = 5 (4 - 5) = -1 = -1 (4 - 5) = -1 = -1 – 1 (4 - 5) = -1 -
0
-11
11
(((5 * 1) - (4 + 7)) * 5) =
((5 - (4 + 7)) * 5) = ((5 - 11) * 5) = (-6 * 5) = -30 = -30 = -30 = -30 = -30 (6 - 5) = (1 + 5) = 6 = 6 = 6 (6 - 5) = 1 = 1 1 (
(5 - (4 + 7)) = (5 - 13) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -
0
-24
24
(((3 * 8) - (2 * 6)) * 8) =
((24 - (2 * 6)) * 8) = ((24 - 12) * 8) = (12 * 8) = 96 = 96 = 96 = 96 = 96 (96 = 96) = 0 = 96 = 96 In other words, 96 = 96 In other words, 96 = 96 4 8 8 8 8
((24 - (2 * 6)) * 8) = ((24 - 12) * 8) = (8 * 8) = 64 (8 * 8) = 256 (32 * 8) = 256 (32 = 256) = 352 (352) = 352 (32 = 352) = 352 0 (32 = 352
0
-11
11
(((9 - 5) * (8 * 5)) + (8 - (8 + 2))) =
((4 * (8 * 5)) + (8 - (8 + 2))) = ((4 * 40) + (8 - (8 + 2))) = (4 * 40) + (8 - 10) = (40 + (8 - 10)) = (40 + -2) = 38 = 38 = basis 0 = 38 = 38 = 38
(4 * (8 * 5)) + (8 - (8 + 2))) = (4 * 40) + (8 - 10) = (40 + (8 + 2)) = (40 + 10) = 50 = 65 = 65 = 65 = 65 = 26 (50 + 10) = 70 = 70 (50 + 10)
-8
-38
30
(((3 - 6) * (2 + 2)) + 8) =
((-3 * (2 + 2)) + 8) = ((-3 * 4) + 8) = (-12 + 8) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 =
((-1 * (2 + 2)) + 8) = ((-1 * 4) + 8) = ((-1 * 4) + 8) = (-4 + 8) = 4 = 4 = 4 = 4 = and was not in, which is why. Source: W. H. In W. H. He gave the
0
-15
15
(((5 * 7) + (1 + 7)) - (8 - (4 - 9))) =
(35 + (1 + 7)) = (35 + 8) = 43 = 51 = 51 (51 - 18) = 27 = 27 (51 + 18) = 57 (51) = 57 ((51 - 17) - (1 + 1)) = (51/7) = 51 (51 + 1) = 52 (
(35 + (1 + 7)) = (35 + 8) = 43 = 59 = 71 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58 = 58
-77
-80
3