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 + 8) + 4) - 7) =
(16 + 4) = 20 = 24 = 24 = 24 = 24 = 24 = 24 = 24 = 24 (16 + 4) = 24 = 28 = 24 = 24 (16 + 4) = 24 = 28 = 28 16 24 24 0.2 0.2 0.
(16 + 4) = 20 (16 + 4) = 24 ( 16 + 4) = 24 (16 + 4) = 24 (24) = 24 (24) = 24 04 (24 + 4) = 24 28 (24) = 24 24 (24) = 24 0 (24
-14
-22
8
(((1 * 3) * 7) * (8 - 1)) =
((3 * 7) * (8 - 1)) = ((3 * 7) * 7) = (21 * 7) = 63 = 98 = 981 (21 * 7) = 63 = 63 Tyler Peterson and T.J. Killion mess up $7 for cell number 12 - 39. T.J. Killion re
((3 * 7) * (8 - 1)) = (21 * (8 - 1)) = (21 * 7) = 147 = 147 = 147 = 147 = 147 = 147 = 147 (147 = 147) = 0 = 147 = 147 = 147 = 147 Anti-Kratz anti-sch Funding for McVeigh in 2006
-3
-7
4
(((1 + 2) * (9 - 9)) - 6) =
((3 * (9 - 9)) - 6) = ((3 * 0) - 6) = (0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 (0 - 6) = -6 = -6 = -6 = -6 (0 - 6) = -6 = -
(3 * (9 - 9)) = (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
-22
22
(((8 * 9) + 5) + 1) =
(72 + 5) = 73 = 73 = 73 = 73 (72 + 5) = 73 = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (73) = 73 (
(72 + 5) = 77 (72 + 5) = 87 (77 + 87) = 194 35 (77 + 87) = 203 (74) = 197 41 (77) = 197 (97) = 199 26 (97) = 197 67 (97) = 197 67 (
-14
-19
5
(((7 + 8) * 4) * 7) =
((15 * 4) * 7) = (60 * 7) = 120 = 180 = 180. 90 (60 * 7) = 120 = 180 = 180. 180 (60 - 180) = 10 + 70 -70 (60 * 7) = 210 = 210. 210 (60 + 65) = 585
(15 * 4) = 60 = 180. 90 (30 * 4) = 150 = 150. 30 (30 = 150) = 150. 330 (30 = 150) = 150. 150 (30 = 150) = 150. 150 (30 = 150) = 150. 150 (30 =
-1
-24
23
(((1 + 1) + (6 * 6)) + 2) =
((2 + (6 * 6)) + 2) = ((2 + 36) + 2) = (38 + 2) = 40 = 42. 42 (38 + 2) = 40. 42 Let o(q) be (8 - 9) - 1. -1 (1 + 5) = 4. 5
(2 + (6 * 6)) = (2 + 36) = 38 = 391 = 391 ((2 + (6 * 6)) = (2 + 36) = 38 =38 = 39 ((2 + 36) + 2) = 40 = 38 (2 + 2) = 40 (2 + 2) = 40
0
-21
21
(((9 + 9) * 4) * ((6 + 5) - 6)) =
(18 * 4) = 72 = 72 = 72 (18 * 4) = 72 = 72 (72) = 72 (72) = 72 4 (72) = 72 12 (72) = 72 0 (72) = 72 0 (72) = 72 0 0 0 0
(18 * 4) = 72 = 72. 72 (18 * 4) = 72 = 72. 84 What (18 * 4) = 68 68 (18 * 4) = 64 64 (18*g) = 6 54 (18*g) = 36 54 (18*g) =
-60
-66
6
(((2 - 5) - 8) - (1 * 7)) =
((-3 - 8) - (1 * 7)) = (9 - (1 * 7)) = (9 - 7) = 2 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
($3 - 8) = (-3 - 8) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11) = (11 = -11 = -11) = -11 = -11 = -11 = -11 =
-15
-27
12
(((1 - 9) - (7 * 7)) + (5 + 8)) =
((8 - (7 * 7)) + (5 + 8)) = ((8 - 49) + (5 + 8)) = ((8 - 49) + 13) = (-37 + 13) = -26 = -26 = -26 Probably, 50 = 1386. 1 (1 - 25) = -24 = -24
(-8 - (7 * 7)) = (-8 - 47) = -65 = -65 = -65 = -65 = -65 = - 65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65 = -65) =
-8
-53
45
(((4 * 6) - (7 - 5)) - ((8 * 8) - (7 * 9))) =
((24 - (7 - 5)) - ((8 * 8) - (7 * 9))) = ((24 - 2) - ((8 * 8) - (7 * 9))) = (24 - (8 - (7 * 9))) = ((24 - 2) - (8 - 63)) = (24 - (8 - 63)) = (24
(24 - (7 - 5)) = (24 - 2) = 22 = 22 = 22 (22 - 2) = 21 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 = 22 =
-21
-109
88
(((3 + 7) * 2) - 4) =
((11 * 2) - 4) = (22 - 4) = 18.2 = 16.2 = 16.2 (22 - 4) = 18 = 16.6 (18 - 16) = 2 2 (18 - 16) = 2 2 (2 - 2) = 0 0 (2 + 1)
(10 * 2) = 20.2 (10 * 2) = 40 40 (10 * 2) = 40 80 (10 * 2) = 10 20 Four 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
-4
-23
19
(((8 + 4) + 9) - ((7 + 7) + (7 + 4))) =
((12 + 9) - ((7 + 7) + (7 + 4))) = ((12 + 9) - (14 + (7 + 4))) = (21 - (14 + (7 + 4))) = (21 - (14 + 11)) = (21 - 25) = -4 = -4 = -4 (21
(12 + (9 + (7 + 4))) = (12 + 15) = 27 = 36 = 36 = 36 = 36 = 36 = 36 = 36 (27 + 36) = 54 = 90 = 114 (27 + 54) = 114 = 135 (27 + 54) = 69 (54 + 69) = 153 (54
-11
-82
71
(((4 * 4) * (5 + 5)) * 3) =
(16 * (5 + 5)) = (16 * 10) = 80 = 80 (16 * 10) = 80 = 80 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
(16 * (5 + 5)) = (16 * 10) = 160 = 160. 160 (16 * 10) = 160 = 160. 160 (16 * 10) = 160 = 160. 160 (16 * 10) = 200 200 (16 * 10) = 160 160 (16 * 10) =
-30
-32
2
(((2 + 1) - (5 + 4)) - 9) =
((3 - (5 + 4)) - 9) = ((3 - 9) - 9) = (-6 - 9) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = 0 = 0 = 0 = 0
((3 + (5 + 4)) - 9) = ((3 + 9) - 9) = (12 - 9) = 3 = 3 = 3 = 3 = 3 = 3 = 3 (6 + 9) = 9 = 15 = 21 = 21 (9 - 21) = -12 = -12 (9 - 21)
0
-10
10
(((4 * 6) + (9 + 2)) - ((5 + 9) - (5 + 6))) =
(12 + (9 + (9 + 6))) = (12 + (9 + 15) - ((5 + 9) - (5 + 6))) = (12 + (9 + 14) - (7 - (5 + 6))) = (12 + (9 + 17) - (7 - 11)) = (12 + 27) = 39 =
(24 + (9 + (9 + 6))) = (24 + 15) = 39 = 66 = 391 = 391 = 391 = 391 = 391 = Queen Elizabeth II Let r(q) = 9*q + 2. Let s(w) = 2. Let n(h) = -1. Let d
-64
-116
52
(((1 + 9) * 2) + 6) =
(10 * 2) = 20 = 40 = 40 = 40 (10 * 2) = 18 = 40 = 50 = 60 (10 * 2) = 18 = 60 = 60 (10 * 2) = 18 = 60 2 = 18 6 9 9 9 9
(10 * 2) = 20 + 6. 10 (10 * 2) = 20 + 6. 22 (10 + 6) = 26. 36 (10 + 6) = 26. 34 (10 + 6) = 26 46 (10 + 6) = 26. 30 (10 + 6
-14
-30
16
(((8 * 6) + 9) + ((5 - 5) * (2 * 4))) =
((48 + 9) + ((5 - 5) * (2 * 4))) = ((48 + 9) + (0 * (2 * 4))) = ((48 + 9) + (0 * 8)) = (57 + (0 * 8)) = (57 + 0) = 57 = 57 (57) + 57 (57)
((48 + 9) + ((5 - 5) * (2 * 4))) = ((48 + 9) + (5 * (2 * 4))) = (57 + (5 * 8)) = (57 + 20) = 67 = 77 (67 + 20) = 67 (67 + 41) = 117 (67 +
0
-33
33
(((1 + 9) * 5) * 1) =
(10 * 5) = 50 = 50, up 5 = 50, up 5 = 50, up 5 = 50, up 5 = 50) = 50, up 5 = 50, up 5 = 50, up 5 = 50) = 50, up 5 = 50, up 5 = 50) = 50, up 5 equal 50, up 5 = 50)
(10 * 5) = 50 = 50. 10 (10 * 5) = 5030 = 5030. 50 (10 = 50) = 50. 50 (10 = 50) = 50. 50 (10 = 50) = 50. 50 (10 = 50) = 50. 50 (
-15
-22
7
(((4 + 8) * (5 - 1)) + 4) =
((12 * (5 - 1)) + 4) = ((12 * 4) + 4) = (48 + 4) = 52 = 52 = 52 = 52 (52 + 4) = 56 = 56 (52) = 52 = 56 8 (52 + 8) = 64
((12 * (5 - 1)) + 4) = ((12 * 4) + 4) = (48 + 4) = 56 = 64 = 64 = 64 = 64 (64 + 4) = 72 = 76 = 72 (64 = 72) = 72 (72) = 72 (72) = 72 (72) =
0
-1
1
(((1 + 5) * 3) + (6 + 6)) =
((6 * 3) + (6 + 6)) = ((6 * 3) + 12) = (18 + 12) = 24 = 36 = 36 = 36 (18 + 12) = 42 = 54 (42 - 54) = 18 (42 - 4) = 34 (42 - 34) = 16 (2 - 16)
((6 * 3) + (6 + 6)) = (6 + (6 + 6)) = (6 + 12) = 18 = 24 = 24 = 24 (18 - 18) = 0 = 0 = 0 0 (18 + 18) = 0 0 (18 + 18) = 0 0 0 (18
-2
-10
8
(((2 * 3) * (1 - 3)) - 6) =
((6 * (1 - 3)) - 6) = ((6 * -2) - 6) = (-12 - 6) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 =
((6 * (1 - 3)) - 6) = ((6 * -2) - 6) = ((6 * -2) - 6) = (-12 - 6) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18
0
-14
14
(((8 - 3) * 2) - ((5 * 1) - (1 * 5))) =
((5 * 2) - ((5 * 1) - (1 * 5))) = ((5 * 2) - (5 - (1 * 5))) = (10 - (5 - (1 * 5))) = (10 - (5 - 5)) = (10 - 0) = 10 = 10 = 10 (10 -
(5 * 2) = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10) = (10 * 2) = 20 = 20 = 20 = 10 = 10 = 20 = 20 = 10 = 60 = -80
-8
-85
77
(((5 + 5) + 2) * ((2 * 5) + 3)) =
(10 * ((2 * 5) + 3)) = (10 * 10) = 500 = 500 = 500 = 500 = 500 = 500 = 500 = 50000 = 50000 = 500 = 50000 = 50000 = 500 = 50000 = 50000 = 50000 = 500 = 50000 = 500 = 50000 = 50000 = 500 = 5
(10 + 2) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 (12 + 12) = (24 + 12) = 36 (24 + 12) = 36 (24 + 24) = 36 (24 + 24) = 36 72 (24 - 24) = 36
-44
-59
15
(((4 * 2) * 8) - (3 * 5)) =
(8 * 8) - (3 * 5) = (8 * 8) - 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 0 (8 * 8) - (3 * 5) - 30 = 30 = 30 = 30 = 0. 0 (
(8 * 8) = 64 (48) = 64 (64) = 64 (64) = 64 (64) = 64 (64) = 64 (64) = 64 (64) = 64 (64) = 64 (64) = 64 8 (64) = 64 (64)
-17
-36
19
(((9 + 5) * 7) - (3 + (6 * 8))) =
((14 * 7) - (3 + (6 * 8))) = ((14 * 7) - (3 + 48)) = (98 - (3 + 48)) = (98 - 51) = 41 = 25 = 25 = 25 (98 - 51) = 31 = 40 = 29 (98 - 51) = 31 (
(14 * 7) - (14 + (6 * 8))) = (14 * 7) - (14 + 48) = 74 = 94 = 94 = 94 = 94 = 94 = 94 (74 - 94) = 6 = 2 = 2 = 2 (2) = 2 (78 + 2) = 90 (74 + 90
-1
-31
30
(((1 - 1) - (2 - 6)) - (3 + 9)) =
((0 - (2 - 6)) - (3 + 9)) = ((0 - -4) - (3 + 9)) = (2 - (3 + 9)) = (2 - 12) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10
(0 - (2 - 6)) = (0 - -4) = (0 - -4) = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 Let h(s) = 4*s - 7. Give h(3). 5 Let t(m) = -3*m + 5
-13
-42
29
(((3 + 3) * 8) * ((3 - 9) - 6)) =
(6 * 8) * ((3 - 9) - 6)) = (6 * 8) * (-6 - 6)) = (6 * 8) * (6 - 6)) = (6 * 8) * (6 - 6)) = 6 * 8) = 48 * (6 - 6)) = 48 * 0) = 0) =
(6 * (8 - 6)) = (6 * 2) = 12 = 24 = 48 = 48 (48 - 48) = 0 = 0 (0) = 0 0 0 0 0 = 0 0 0 0 0 0 0 0 0 0 0 0 0
-37
-65
28
(((6 * 9) - 5) * 1) =
(54 - 5) = 491 = 490 = 490 = 490 = 490 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10
(54 * 1) = 54 = 54. 0 (54 - 54) = 0. 0 ((1 - 9) * 1) = (8 * 1) = 8. 8 (8 - 7) = 1 1 (6 - 1) = 5 5 (6 - 5) = 1
-12
-24
12
(((9 + 6) + (9 * 7)) - (2 + (7 + 3))) =
((15 + (9 * 7)) - (2 + (7 + 3))) = ((15 + 63) - (2 + (7 + 3))) = ((15 + 63) - 10) = (78 - 10) = 68 =58 = 58 = 58 (78 - 10) = 68 = 68 (78 - 70) =
((15 + (9 * 7)) - (2 + (7 + 3))) = (((15 + 42) - (2 + (7 + 3))) = ((15 + 42) - (2 + 10)) = ((15 + 42) - (2 + 10)) = (57 - (2 + 10)) = (57 - 12) = 49
-22
-32
10
(((8 - 7) - 2) - 7) =
((1 - 2) - 7) = (-1 - 7) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = (8 = -8) = -8 = -8 = -8 = -8 = -8
(1 - 7) = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -
0
-15
15
(((1 + 3) + 8) - (1 + 9)) =
((4 + 8) - (1 + 9)) = ((4 + 8) - 10) = (12 - 10) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2) = 2 = 2 =
(4 + 8) - (1 + 9) = (4 + (1 + 9)) = (4 + 10) - 10 = 14 = 18 = 18 = 18 = 18 (4 + 9) - (1 + 9) = (4 + 10) - 14 = 14 = 18 (4 + 9) - (1 +
0
-17
17
(((1 - 6) - 1) * ((1 * 6) - 5)) =
((-5 - 1) * ((1 * 6) - 5)) = ((-5 - 1) * (6 - 5)) = (-6 * (6 - 5)) = (-6 * 1) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
((-5 - 1) * ((1 * 6) - 5)) = ((-5 - 1) * (6 - 5)) = (6 * (6 - 5)) = (6 * 1) = 6 = 6 = 6 prediction = 6 + 6 = 12 union = 6 + 6 = 12 1 = 12 order
0
-4
4
(((6 * 7) + 7) * ((6 * 2) + 5)) =
(42 + 7) = 49 = 56 = 56 (49 + 7) = 56 = 63 (49 + 6) = 55 55 (49 + 6) = 55 65 (44 + 6) = 50 50 ((36 - 6) + 1) = 33 33 (46 + 1) = 47
(42 + 7) = 49 = 56 = 64 = 56 = 56 = 56 (42 + 7) = 49 = 77 = 74 (42 + 7) = 47 = 74 (42 + 7) = 77 (77) = 77 (77) = 77 0 0 0
-59
-63
4
(((5 * 2) + (5 * 2)) * 9) =
(10 + (5 * 2)) = (10 + 10) = 20 = 40 = 40 = 40
(10 + (5 * 2)) = (10 + 10) = 20 = 30 (20 + 20) = 40 izing = 40 (20 + 40) = 60
-20
-28
8
(((9 * 2) + 5) - (8 + 4)) =
((18 + 5) - (8 + 4)) = (23 - (8 + 4)) = (23 - 12) = 7 = 5 = 5 = 5 (23 - 12) = 5 = 3 (11 + 3) + 4 (11 + 4) (11 + 4) (11 + 4) (11 +
(18 + 5) = 23 = 24 = 24 = 24 (26 - 24) = 2
-11
-36
25
(((2 + 2) + 8) + 3) =
((4 + 8) + 3) = (12 + 3) = 15 = 18 = 18 = 18 = 18 = 18 1 + 3 = 18 = 18 2 = 18 3 = 18 3 = 18 3 = 18 3 = 18 3 = 18 3 = 18 3 =
(4 + 8) = 12 = 20 = 20 = 20 4 (4 + 8) = 20 = 22 = 22 4 (4 + 4) = 22 6 (4 + 4) = 28 22 22 22 22 22 22 22 22
0
-14
14
(((8 - 9) - 8) + ((3 * 2) - 2)) =
((-1 - 8) + ((3 * 2) - 2)) = ((-1 - 8) + (6 - 2)) = (-9 + (6 - 2)) = (-9 + 4) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -
(1 - 8) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -
0
-60
60
(((8 + 5) * 2) - 8) =
((13 * 2) - 8) = (26 - 8) = 14 = 10 = 10 = 10 (14 - 8) = 6 + 2 = 8 (14 - 8) = 6 (6 + 2) = 8 (6 - 8) = 6 -2 (6 - 6) 2 (2 -
(*8 * 2) - 8) = (16 - 8) = 8 = 8 = 8 = 8 = 8 = 8 Disq = 8 + 8 = 16 8 = 16 4 = 16 4 = 16 4 = 16 4 = 16 4 = 16 4 = 16 4 = 16 4 = 16 4
-1
-5
4
(((3 + 7) * 7) + 9) =
(10 * 7) + 9.1 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 = 99.9) = 99.9 = 99.9 = 99.9 = 99.9 = 99.9 (9 +
(10 * 7) + 9 = 70 + 9 = 89 (70 + 9) = 89 = 89 (89) + 9 = 89 1 (89) + 9 = 89 10 (89) + 9 = 89 10 (89) + 9 = 89 10 (1 + 9) = 8 9
-11
-12
1
(((7 + 4) - (8 + 1)) + 5) =
((11 - (8 + 1)) + 5) = ((11 - 9) + 5) = (2 + 5) = 7 = 9 = 9 = 9 (2 + 5) = 11 = 13 (2 + 5) = 11 (2 + 11) = 13 = 17 (11 + 11) = 24 (11 -
(13 - (8 + 1)) = (13 - 9) = 4 = 3 = 3 = 3 (2 - 3) = -1 (2 - 3) = -1 -1 (2 - 3) = -1 -1 (2 * 6) = (6 - 6) 0 (2 * 6
0
-22
22
(((9 + 2) * 2) + 9) =
((11 * 2) + 9) = (22 + 9) = 29 = 34 = 49 = 49 (29 + 9) = 44 = 53 (34 = 59) = 39 (34 = 39) = 39 (19 = 39) = 39 (s - 39) = -39 -39 (39 + 39
(11 * 2) = 22 = 22. 2 (11 * 2) = 22. 22 (11 * 2) = 22. 22 (11 * 2) = 22. 22 (11 * 2) = 22. 22 (11 * 2) = 22. 22 (11 * 2)
-2
-22
20
(((3 * 6) + (4 - 1)) - (4 - (3 - 8))) =
((18 - (4 - 1)) - (4 - (3 - 8))) = ((18 - 3) - (4 - (3 - 8))) = ((18 - 3) - (4 - -5)) = (15 - (4 - -5)) = (15 - 9) = 6 = 3 = 3 = 3 = 3 = 3 =
((18 + (4 - 1)) - (4 - (3 - 8))) = ((18 + 3) - (4 - (3 - 8))) = (18 - (4 - (3 - 8))) = (18 - (4 - -5)) = (18 - 7) = 7 = 5 (7 (6 - 7
-9
-14
5
(((4 * 4) - (7 + 5)) * (8 * (2 * 2))) =
((16 - (7 + 5)) * (8 * (2 * 2))) = (16 - (17 + (7 * 2))) = (16 - (17 + 14)) = (16 - 29) = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -17 = -17
(16 - (7 + 5)) = (16 - 12) = 4 = 4 = 4 = 4 = 4 = 4 (16 - 12) = 4 = 4 = 4 = 4 = 4 (4 - 4) = 0 0 (4 - 4) = 0 0 (1 - 4) = -3 -5
-40
-78
38
(((3 * 8) + (9 - 7)) * 3) =
((24 + (9 - 7)) * 3) = ((24 + 2) * 3) = (26 * 3) = 78 = 46 = 46 (58 * 3) = 234 = 234 (58 * 3) = 186 = 234 54 (58 * 3) = 178 126 (58 * 3) = 177
(24 + (9 - 7)) = (24 + 2) = 26 = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 26 (26) = 26 26 (26
0
-24
24
(((2 + 9) + 8) + (8 - (7 * 9))) =
((11 + 8) + (8 - (7 * 9))) = ((11 + 8) + (8 - 63)) = (17 + (8 - 63)) = (17 + -55) = -36 = -36 = -36 = -36 = -36 = -36 = -36
(11 + (8 - (7 * 9))) + (8 - 63)) = (11 + (8 - 73) + (8 - 63)) = (11 + -59) = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -
-2
-44
42
(((8 + 8) + 8) * ((5 * 1) * 6)) =
(16 * ((5 * 1) * 6)) = (16 * 6) = 96 = 96 = 96 = 96 = 96 = 96 (96 = 96) = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96 = 96
(16 + 8) = 24 = 28 = 28 = 28 = 28 = 28 (24 + 8) = 32 = 36 = 48 (32 = 36) = 52 = 68 (32 = 68) = 88 (32 = 68) = 80 (8) = 96 (8) = 90 (8) = 90
-43
-61
18
(((9 - 5) - 1) * 9) =
(4 - 1) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3) = (3 - 1) = 2 = 1 = 1 = 3 = 3 = 3 = 3 = 3) = (3
(4 - 1) = 3 (4 - 1) = 3 (4 - 3) = 1 (4 - 1) = 1 1 (2 - 1) = 1 1 (2 - 1) = 1 1 (2 - 1) = 1 1 (2 - 1) = 1 1
-14
-18
4
(((8 * 6) * (7 * 4)) + (5 * (5 - 6))) =
(48 * (7 * 4)) = (48 * 28) = 144 (48 * 28) = 512 (48 * 28) = 96 (48 * 28) = 192 48 (48 * 28) = 96 192 8 * 32 8 8 8 8 8 8 8 8
(48 * (7 * 4)) + (5 * (5 - 6))) = (48 * 14) = 1234 = 1234 + 894. 254 (24 - 16) + (4) = 16 = 12. 8 (4 - 1) + (5 - 5) = 0 1 ((4 - 1
-82
-89
7
(((7 - 3) * 2) + 8) =
(4 * 2) = 8 = 16 = 16 = 16 (16) = 16 = 16 (16) = 16 (16) = 16 (16) = 16 (16) = 16 8 (16) = 16 (16) = 16 8 (16) = 16 16 (16) =
(4 * 2) = 8 + 8 (4 * 2) = 16 (8 + 8) = 24 LC (4 + 8) = 32 32 (8 + 8) = 16 24 (4 + 8) = 16 24 (4 * 2) = 8 16 First prevailing intuition (17)
-12
-20
8
(((4 + 6) - 4) * (3 - (9 + 8))) =
((10 - 4) * (3 - (9 + 8))) = (4 * (3 - (9 + 8))) = (4 * (3 - 17)) = (4 * -14) = -56 = -56 = -56 = -56 = -56 = -56 = -56 = -56 = -56 = -56 = -
(10 - 4) = 6 = 5 = 4 = 5 = 4 = 4 (10 - 4) = 6 = 4 = 4 (10 - 4) = 6 = 4 (10 - 4) = 6 = 4 2 and 4 = 2 2 (10 - 4) = 6 6 4 (10 - 4
-17
-66
49
(((6 - 1) * 4) - 1) =
((5 * 4) - 1) = (20 - 1) = 19 (20 - 1) = 19 (19) = 19 (19) = 19 (19) = 19 7 (19) = fall (19) = 19 20 (19) = fall (19) = 19 7 (
(5 * 4) - 1. ( As 1 - 1) = ( 5 * 4) - 1. 0 = 5 - 1. 0 = 5 - 1. 0 = 5 - 1. 0 = 5 - 1. 0 = 5 - 1. 0 = 5 - 1. 0 = 5 - 1.
-8
-22
14
(((9 + 2) * 6) + 9) =
((11 * 6) + 9) = (66 + 9) = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69)
(11 * 6) = 66 = 66 = 66 (11 - 6) = 5 = 5 (6 + 5) = 9 5 6 1 9 1 9 1 9 1 9 9 1 9 1
-2
-14
12
(((7 - 4) + 1) + 1) =
((3 + 1) + 1) = (4 + 1) = 5 + 1 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(3 + 1) = 4 = 4 = 4 = 4 = 4 = 4 = 4 (3 + 1) = 4 = 5 = 5 (3 + 1) = 5 (3 + 1) = 5 (3 + 1) = 5 (3 + 1) = 5 5 (3 - 1) = 5
-4
-13
9
(((1 * 1) + 4) * 6) =
(1 + 4) = 5 = 5 = 5 = 5 = 5 = 5 ((1 + 4) * 6) = (5 * 6) = 30 = 30 (5 * 6) = 30 = 30 0 (5 * 6) = 30 15 (5 * 6) = 30 30 (5 * 6)
(1 + 4) = 5 = 5 (1 + 4) = 5 (1 + 5) = 6 (1 + 5) = 6 6 (1 + 6) = 6 7 (1 + 6) = 6 7 (1 + 6) = 6 7 (1 + 6) = 6
-14
-20
6
(((5 - 9) - (2 - 4)) * 4) =
(-4 - (2 - 4)) = (-4 - -2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
() * 4) = (41 * 4) = 164 = 164 = 164 = 164 = 104 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 for 6 = 144 = 144 for 6 = 144 for 6 = 144 for 6 = 144 for 6
-20
-34
14
(((9 - 1) + (2 + 2)) * 2) =
((8 + (2 + 2)) * 2) = (8 + 4) = 12 = 16.8 Let v(d) = -2 + 5. 3 (1 - 17) = -14. -15 ((1 - 1) - 1) = 0. 0 (1 + 9) = 10 11
(7 + (2 + 2)) = (7 + 4) = 11 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = (7 + (2 + 2)) = (7 + 6) = (7 + 6) = 17 = 17
-18
-23
5
(((6 * 2) * (5 - 3)) - ((7 + 8) * (1 + 4))) =
(12 * (5 - 3)) = (12 * 1) = 12 = 12 4 (2 * 1) = 12 2 (2 * 1) = 12 2 (2 * 1) = 12 2 (2 * 1) = 12 2 (2 * 1) = 12 2 (2
(12 * (5 - 3)) = (12 * 2) = 24 = 48 = 48 = 48 (3) = 24 = 24 1 1 4 4 2 4 4 4 4 4 4 4 4 4
-121
-133
12
(((9 - 6) * (9 - 8)) + (7 * (4 + 7))) =
((3 * (9 - 8)) + (7 * (4 + 7))) = ((3 * 1) + (7 * (4 + 7))) = ((3 * 1) + (7 * 11)) = (3 + (7 * 11)) = (3 + 77) = 80 = 79 Cambodia is one full country, and which is
((3 * (9 - 8)) + (7 * (4 + 7))) = ((3 * 1) + (7 * (4 + 7))) = ((3 * 1) + (7 * 11)) = (3 + (7 * 11)) = (3 + 77) = 84 = 81 = 81 (1 + 84) = 81 =
0
-1
1
(((7 - 9) - 2) + ((4 * 8) - 4)) =
( {7 - 2) + ((4 * 8) - 4)) = ( {7 - 2) + (32 - 4)) = (5 + (32 - 4)) = (5 + 24) = 29 = 29 = 27 (29 - 27) = 8 = 11 = 9 (19 - 9) = 8 = 9
(-2 - 2) = -4 = -4 = -4 = -4 = -4 = -4 (0 - 4) = -4 = -4 = -4 (0 - 4) = -4 = -4 (0 - 4) = -4 = -4 0 (0 + 4) = -4
-12
-58
46
(((6 + 7) + (9 * 1)) - 8) =
((13 + (9 * 1)) - 8) = ((13 + 9) - 8) = (22 - 8) = 14 = 8 = 8 ((22 - 8) - 8) = (10 - 8) = 6 = 2 (10 - 8) = 2 = 6 4 (10 - 8) + 2 = 2
(13 + (9 * 1)) = (13 + 9) = 22 = 29 = 22 To continue with their (13 + 9) = 22 = 22 Show 4 To continue with their (13 + 9) = 22 Show 4 To continue with their (13 + 9) = 22 Show 4
0
-20
20
(((9 + 6) * (4 + 5)) - (6 + 2)) =
(15 * (4 + 5)) = (15 * 9) = 135 = 135 = 135 = 135 1 = 135 = 135 = 0 = 0 = 0 0 1 = 135 = 135 = 0 0 0 = 135 = 135 = 0 0 0 = 135 = 135 0 0 = 135 0 0 =
(15 * (4 + 5)) = (15 * 9) = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90
-45
-49
4
(((2 + 1) - (8 * 9)) - 1) =
((3 - (8 * 9)) - 1) = ( (2 - 72) - 1) = (70 - 1) = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 = 69 =
(3 - (8 * 9)) - 1 = (3 - 64) = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61 = -61) = -61
-11
-20
9
(((5 + 8) + (2 * 8)) + (7 + 1)) =
(13 + (2 * 8)) + (7 + 1) = (13 + 14) = 27 = 54 = 18 = 34 = 34 = 34 (27 + 14) = 41 = 53 (27 + 14) = 55 (27 - 49) = 22 -13 (27 + 14) = 43 59 (
(13 + (2 * 8)) = (13 + 16) = 27 (13 + 6) = 37 (27 + 27) = 60 followed by hal (27) = 63 Followed by hal (27) = 63 turned + 63 = 63 = 63 = 63 = 63 = 63 = 63
-40
-46
6
(((3 * 9) * (3 + 8)) * ((1 - 2) - (9 - 5))) =
((27 * (3 + 8)) * ((1 - 2) - (9 - 5))) = ((27 * 11) * ((1 - 2) - (9 - 5))) = ((27 * 11) * (-1 - (9 - 5))) = (111 * (-1 - (9 - 5))) = (111 * (1
________. (9 * (3 + 8)) = _______. (9 * 13) = (39) = 49 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 491 = 49
-41
-130
89
(((2 - 9) * (7 * 3)) - 3) =
((-7 * (7 * 3)) - 3) = ((-7 * 21) - 3) = (-147 - 3) = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150 = -150
((-7 * (7 * 3)) - 3) = ((-7 * 21) - 3) = (-63 - 3) = -66 = -66 = -66 Should be (66 + 6) = 78 = 78 8 = 78 ugly (78 + 78) = 84 12 (78 - 78) + 6
0
-9
9
(((9 * 4) * 9) * 4) =
(36 * 9) = 36 = 36 = 36 = 36 = 36 1.5 = 36 = 36 = 36 1.5 = 36 = 36 1.5 = 36 = 36 1.5 = 36 = 36 1.5 = 36 1.5 = 36 1.5 =
(36 * 9) = 216 (216) = 432 (432) = 996 (96) = 996 = 556) = 1 (96) = 96 = 654 (96) = 654 (96) = 654 = 654) = 654 = 654 = 654 (6 * 9) = 66 (
-17
-22
5
(((2 * 9) * 6) + (4 - (3 - 7))) =
((18 * 6) + (4 - (3 - 7))) = ((18 * 6) + (4 - -2)) = (108 + (4 - -2)) = (108 + 6) = 130 = 178 = 178 (118 - 6) = 112 = 178 = 178 On the face of it, though, our breaking of
((18 * 6) + (4 - (3 - 7))) = (114 + (4 - (3 - 7))) = (114 + -5) = 113 = 118 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 = 119 =
-5
-27
22
(((4 + 2) + (1 - 5)) - ((8 * 5) + (5 + 1))) =
((6 + (1 - 5)) - ((8 * 5) + (5 + 1))) = ((6 + -4) - ((8 * 5) + (5 + 1))) = ((6 + -4) - (40 + (5 + 1))) = ((6 + -4) - (40 + 6)) = (4 - (40
((6 + (1 - 5)) - ((8 * 5) + (5 + 1))) = (((6 + -4) - ((8 * 5) + (5 + 1))) = {6 - (8 * 5) + (5 + 1)) = (6 - (8 + (5 + 1))) = (6 - 8) =
-21
-45
24
(((6 * 1) * (7 * 7)) * 7) =
((6 * (7 * 7)) * 7) = u (6 * 56) = 96 = 96 = 96 = 81 = 81 = 81 = 81 = 81 2 * (6 * 56) = 81 = 81 = 81 3 * (36) = 81 = 81 1 * (36) = 81 3 *
(6 * (7 * 7)) = (6 * 49) = 492. (49 ((6 * 1) * 7) = (6 ) = (6 ) = (6 ) = 6 = 6 = 6 = 6 = 6 = 6 =
-20
-29
9
(((2 * 4) * (9 - 2)) + ((3 * 6) + 4)) =
((8 * (9 - 2)) + ((3 * 6) + 4)) = ((8 * 7) + ((3 * 6) + 4)) = (28 + (9 + 4)) = (28 + 13) = 39 = 61 (39) = 391 (39) = 39 (39) = 39 (
(8 * (9 - 2)) = (8 * 7) = 56 = 56 (8 * 7) = 56 = 56 (8 * 7) = 56 = 56 8 (8 * 7) = 56 08 (8 * 7) 28 (8 * 7) 28 8 (8 * 7)
-32
-79
47
(((6 - 4) + (4 - 1)) - 4) =
((2 + (4 - 1)) - 4) = ((2 + 3) - 4) = (5 - 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
((2 - 4) - 4) = (-2 - 4) = -6 = -6 (2 - 4) = -2 ((2 - 4) - 6) = -4 -2 (2 - 4) = -2 -2 (2 - 4) = -2 -2 (2 - 4)
0
-28
28
(((5 + 1) * 2) * (4 - 6)) =
(6 * (2 - 6)) = (6 * -4) = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -26 + 26 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(6 * (4 - 6)) = (6 * -2) = -12 = -12 = -12 = -12 (12 * -2) = -12 = -12 (12 = -12) = -12 ( ( (12 - 12) = -12) - 12 (0 = -12
-21
-23
2
(((4 * 4) * 6) + ((1 - 9) - 5)) =
((16 * 6) + ((1 - 9) - 5)) = ((16 * 6) + (-8 - 5)) = ((16 * 6) + (-8 - 5)) = (96 + (-8 - 5)) = (96 - 13) = 89 (89 + 83) = 188 (89 + 3) = 91 (89
((16 * 6) + ((1 - 9) - 5)) = (96 + ((1 - 9) - 5)) = (96 + -8) = 8 = 8 = 8 8 (8 + 8) = 16 = 24 28 (8 + 8) = 24 32 (8 + 4) 16 (
-22
-27
5
(((1 * 4) * 1) + (7 + (2 + 4))) =
(4 * 1) + (7 + (2 + 4))) = (4 * 1) + (7 + 6)) = (4 + (7 + 6)) = (4 + 13) = 17 = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 23)
(4 * 1) + (7 + (2 + 4))) = (4 * 1) + (7 + 6)) = (4 * 1) + (7 + 6)) = (4 * 1) + (7 + 6)) = (4 * 1) + (7 + 6)) = (4 * 1) + (7 + 6
-2
-35
33
(((8 * 3) * (8 + 9)) * ((6 * 1) - 6)) =
(24 * (8 + 9)) = (24 * 17) = Chelsea (68) = 68 = 80 = 80 (68) = 68 = 80 = 80 ((68) = 80) = 80 (80) = 80 (80) = 80 (80) = 80 (80) = 80 1 (80)
(24 * (8 + 9)) = (24 * 17) = 312 = 372 = 726 = 726 = 726 = 726 = 726 = 1268 = 1268 = 1352 = 1268 = 1268 = 1352 = 52) = 12 have 726 = 1268 = 1268 = 1268 = 52) = 12 have
-80
-83
3
(((5 - 6) - 4) * ((6 * 2) + 3)) =
((1 - 4) * ((6 * 2) + 3)) = (1 * ((6 * 2) + 3)) = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (1 * 6) = 6 = 6 = 6 (1 * 6) = 6 (1 *
(-1 - 4) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5
-35
-60
25
(((9 + 9) + (5 * 9)) - 4) =
(18 + (5 * 9)) = (18 + 45) = 67 = 89 = 89 (89 - 89) = 9 = 9 1 (9 + 9) = 18 27 (9 + 9) = 18 27 (9 + 9) = 18 27 (9 + 9) = 18 27
(18 + (5 * 9)) = (18 + 45) = 63 (72) = 99 (99) = 99 (99) = 99 (99) = 99 = 99 (99) = 99 (99) = 99 (99) =99
-20
-22
2
(((5 + 1) * 3) + (8 + 6)) =
((6 * 3) + (8 + 6)) = ((6 * 3) + 14) = (18 + 14) = 34 = 52 = 52 = 52 (18 + 8) = 56 = 68 = 64 (68 + 64) = 88 (68 - 88) = -8 (8 + 7) = 9 (11
(6 * 3) = 18 assuming (6 * 3) = 18 = 18 = 18 = 18 (6 * 3) = 18 = 18 (18) = 18 0 0 0 0 0 0 0 0 0 0 0
-1
-30
29
(((4 + 6) - 8) + ((6 - 1) * 5)) =
((8 - 8) + (*6 * 5)) + ((6 - 1) * 5)) = ((8 - 8) + (6 * 5)) = (0 + (6 * 5)) = (0 + 30) = 30 = 30 = 30 = 30 (30 + 30) = 60 = 90 = 90 (30
(10 - 8) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = two = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 vs. = 1 = 2 = 2 = 2 = 2
-24
-58
34
(((3 * 5) + 4) + (2 - 8)) =
((15 + 4) + (2 - 8)) = ((15 + 4) + -6) = (19 + -6) = 15 = 11 = 9 = 9 (11 + -6) = 5 = 5 (11 - 5) = 6 (11 - 6) = 5 (11 - 6) = 5 (
(15 + 4) = 19 - 19. -2 (15 + 4) = 19 + 19. 38 (15 + 19) = 44 5 (15 + 19) = 34 53 ((15 + 19) + 34) = 44 59 (14 - 49) = -15 -37 (14
-1
-48
47
(((8 + 3) - (9 + 4)) - (2 + (2 - 9))) =
((11 - (9 + 4)) - (2 + (2 - 9))) = ((11 - 15) - (2 + (2 - 9))) = ((11 - 15) - (2 + -7)) = (-4 - (2 + -7)) = (-4 - -5) = 1 = 1 = 1 = 2 = 2 = 2
((11 - (9 + 4)) - (2 + (2 - 9))) = ((11 - 13) - (2 + (2 - 9))) = (((11 - 13) - (2 + -7))) = ((11 - 13) - (2 + -7)) = (-2 - (2 + -7)) = (-2
-5
-20
15
(((1 + 5) * 9) + 8) =
(6 * 9) = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 (6 * 9) = 54 = 54 = 54 = 54 = 54 = 54 = 54 (6 * 9) = 54 = 54 = 54 = 54 0 (6 * 9) = 54 = 54 =
(6 * 9) + (9 + (9 + 6))) = (6 * 9) + (9 + 15) = (6 * 9) + 39 = Williams (39 + 39) = 69 = 69 = 69 = 69 = 69 2 = (6 * 9) + (9 + 39) = 69 = 69 = 69
-14
-38
24
(((9 + 7) + 8) + ((8 * 2) + 6)) =
(16 + (8 * 2)) = (16 + 16) = 36 = 72 = 72 = 72 = 72 = 72 Yang (72) hard 868 = 72 = 72 = 72 = 72 (72 + 72) = 1244 = 1244 (72 + 72) = 1244 (1244 + 12
(16 + (8 + 6)) = (16 + 13) = 33 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 61 = 59 = 59 = 59 = 59 = 59 = 59 =
-48
-51
3
(((6 + 3) - (8 + 6)) + (3 - 7)) =
(9 - (8 + 6)) + (3 - 7) = (9 - 14) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -
(9 - (8 + 6)) = (9 - 14) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = (5 - 5) =
-37
-47
10
(((5 * 3) + 1) + ((9 + 8) - (1 - 8))) =
((315 + 1) + ((9 + 8) - (1 - 8))) = ((315 + 1) + (17 - (1 - 8))) = ((315 + 1) + (17 - -7)) = (316 + (17 - -7)) = (316 + 22) = 368 = 368 (368 - 74) =
(15 + ((9 + 8) - (1 - 8))) = (15 + (15 + 1)) = (15 + 16) = 31 = 61 = 61 = 61 = 61 (61 + 61) = 106 = 106 = 106 = 1 (105 + 106) = 207 = 207 (51 + 106) = 206 = 207
-9
-59
50
(((5 + 7) - (1 - 4)) * (9 * (9 * 8))) =
((12 - (1 - 4)) * (9 * (9 * 8))) = ((12 - -3) * (9 * (9 * 8))) = ((12 - -3) * (9 * 72)) = (15 * (9 * 72)) = (15 * 288) = 360 = 360 = 60 = 60 = 45
((12 - (1 - 4)) * (9 * (9 * 8))) = ((12 - -3) * (9 * (9 * 8))) = ((12 - -3) * (9 * 72)) = (15 * (9 * 72)) = (15 * 72) = 918 = 918 = 627 = 53
-5
-6
1
(((2 * 2) + 4) + ((5 * 4) * (2 + 1))) =
(4 + ((5 * 4) * (2 + 1))) = (4 + (4 * (2 + 1))) = (4 + (4 * 3)) = (4 + 6) = 10 = 14 = 14 = 14 (4 + 6) = 14 = 19 (4 + 6) = 14 7
(4 + 4) = 8 (8 - 8) = 0 (8 + 4) = 0 8 (8 - 8) = 0 0 (8 - 8) = 0 0 0 (8 - 8) = 0 0 (0 - 0) = 0 0 0 (0 -
-40
-83
43
(((3 + 8) - (2 * 6)) * (8 + 3)) =
((11 - (2 * 6)) * (8 + 3)) = ((11 - 18) * (8 + 3)) = ((11 - 18) * 10) = (-7 * 10) = -70 = -70 = -70 = -70 = -70 = -70 = -70 = -70 = -70 = -70 = -70
(11 - (2 * 6)) = (11 - 12) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1
-9
-47
38
(((6 + 1) - 1) * (8 - (5 * 2))) =
((7 - 1) * (8 - (5 * 2))) = ((7 - 1) * (8 - 10)) = (6 * (8 - 10)) = (6 * -2) = -12 = -48 = -48 = -48 = -48 = -48 (6 * -2) = -
((7 - 1) * (8 - (5 * 2))) = ((7 - 1) * (8 - 8)) = (6 * (8 - 8)) = (6 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
-2
-12
10
(((1 - 2) - 2) * (9 - 3)) =
(1 - 2) = (-1 - 9) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10) = (1 - 6) = -5 = -5 = -5 = -10 be = -10 = -10 = -10 be be be be be be be
(1 - 2) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = 0 = -1 = -1
-29
-34
5
(((2 * 9) + 8) * ((2 * 6) - (5 + 5))) =
((18 + 8) * ((2 * 6) - (5 + 5))) = ((18 + 8) * (18 - (5 + 5))) = ((18 + 8) * (18 - 10)) = (26 * (18 - 10)) = (26 * 8) = 52 = 56 formulate (8 + 8) = 52 =
(18 + 8) = 26 + 36 = 58 Inc (18 + 36) = 46 + 46 10 (18 - 46) = -14 -22 (18 - 34) = -14 -10 (18 + 28) = 52 74 (18 + 28) = 74 126 Not7 (18
-4
-100
96
(((5 * 7) - (4 * 6)) + ((7 + 2) - (5 - 4))) =
((35 - (4 * 6)) + ((7 + 2) - (5 - 4))) = ((35 - 24) + ((7 + 2) - (5 - 4))) = ((35 - 24) + (9 - (5 - 4))) = ((35 - 24) + (9 - 1)) = (19 + (9 -
(35 + (4 * 6)) = (35 + 24) = 59 = 89 (59 + 24) = 139 (89 - 139) = -64 = -45 (39 - 119) = -70 (70 - 79) = -21 (70 - 79) = -21 -7 (49 -
-15
-118
103
(((6 + 8) * 3) * ((4 * 9) + 3)) =
((14 * 3) * ((4 * 9) + 3)) = ((14 * 3) * (36 + 3)) = (42 * (36 + 3)) = (42 * 39) = 108 = 177 = 217 (108 + 217) = 329 = 471 (109 - 170) = -99 (109 + 114
((14 * 3) * ((4 * 9) + 3)) = (14 * ((4 * 9) + 3)) = (14 * (36 + 3)) = (14 * 39) = 618 = 618 = 618 =618 + 614. Let q(f) = 3*f + 13. Let x(
-2
-13
11
(((9 - 6) - (8 + 7)) + 1) =
((3 - (8 + 7)) + 1) = ((3 - 15) + 1) = (-12 + 1) = -11 = -11 = -11 = -11 = -11) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11
((5 - (8 + 7)) + 1) = (9 - 15) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = (9 - 15) = -6 = -6 = -
0
-20
20
(((5 + 5) + 2) + 3) =
((10 + 2) + 3) = (12 + 3) = 15 = 18 = 18 (12 + 3) = 21 = 27 27 (12 + 3) = 21 27 (12 + 3) = 21 27 (12 + 3) = 21 27 (12 - 3) = 9 9 (
(10 + 2) = 12 + 8. 18 (10 + 2) = 12 14 (10 + 2) + 14 = 16 18 (10 + 14) = 22 42 (10 + 14) + 14 24 (6 + 14) = 18 26 (6 + 14) = 22 28
0
-32
32
(((1 - 1) - (9 - 9)) * ((2 + 7) * 8)) =
(0 - (9 - 9)) = (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 * ((9 - 9) * 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
-70
-71
1
(((6 + 8) - 9) * (5 * (2 * 5))) =
(14 * (5 * (2 * 5))) = (14 * (5 * 10)) = (14 * 20) = 88 = 88 Meanwhile, (4 * 10) = 88 = 88 8 (4 * 10) = 88 88 (4 * 10) = 88 88 (4 * 10) = 88 88
(14 * (5 * (2 * 5))) = (14 * (5 * 10) * (5 * 5))) = (14 * 50 * (5 * 5)) = (14 * 50 * (50 * 5)) = (14 * 50) = 100 = 100 and 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100
-38
-44
6
(((8 - 6) + (3 + 5)) + 6) =
((2 + (3 + 5)) + 6) = ((2 + 8) + 6) = (10 + 6) = 16 = 26 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 (0 + 6) = 6 = 6 = 6 = 6 = 30 = 30 = 30 = 30
(2 + (3 + 5)) = (2 + 8) = 10 = 12 = 12 = 12 (2 + 8) = 10 = 12 = 12 (2 + 2) = 14 (2 + 2) = 14 (2 + 2) = 14 12 (2 + 2) = 14 16 (2 +
0
-19
19
(((6 * 9) - (1 + 2)) - (7 * (9 * 9))) =
((126 - (1 + 2)) - (7 * (9 * 9))) = ((126 - 3) - (7 * (9 * 9))) = ((126 - 3) - (7 * 81)) = (123 - (7 * 81)) = (123 - 773) = -115 = -115 = -115 = -115
(54 - (1 + 2)) - (7 * (9 * 9))) = (54 - 9) = 43 = 34 = 35 = 45 = 55 = 55 Okay (43 - 9) = 34 = 35 = 35 1 (43 - 9) = 34 = 29 25 (43 - 9) = 34 25
-22
-68
46
(((3 - 5) + 2) + 8) =
((-2 + 2) + 8) = (0 + 8) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 5 = 8 = 8 = 8 = 8 = 8 1 = 8 = 8 = 8 1 = 8 = 8 1 = 8 =
(2 + 8) = 10 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 0 = 12 = 12 = 12 = 12 = 12 = 12) = 0 = 12 = 12 = 12) = 0 = 12 = 12) = 0 = 12) = 0 = 12) = 0 = 12) = 0 = 12
0
-15
15