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
(((3 * 8) + (3 + 3)) + (4 * 8)) =
(24 + (3 + 3)) = (24 + 9) = 33 = debt = 33 = 33 = 33 (24 + 9) = 33 = 33 (3 + 33) = 36 (34) = 36 (6) = 36 (6) = 36 (6) = 36
(24 + (3 + 3)) = (24 + 6) = 30 = 36 = 36 6 (6 - 6) = (0 + 4) = 4 0 (1 - 1) = 0 = 0 0 (9 - 8) = 1 1 (1 - 1) = 0 0 (1 -
-50
-55
5
(((1 + 4) + 8) - 7) =
((5 + 8) - 7) = (13 - 7) = 6 (13 - 7) = 6 (5 - 6) = -1 (1 - 1) = 0 0 (1 - 1) = 0 0 (1 - 1) = 0 0 (1 - 1) = 0 0
(5 + 8) = 13 = 23 = 23 = 23 = 23 (3 + 8) = 15 = 17 (3 + 17) = 20 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17)
-8
-14
6
(((4 * 7) * 4) + (6 * (4 + 3))) =
(28 * 4) = 112 = 112 = 112 = 112 = 112 (8 * 4) = 112 = 112 = 112 = 112 = 112 (8 * 4) = 48 = 48 (8 * 4) = 48 (32 = 88) = 88 32 (32 - 88) = -52 -24 (32
(28 * 4) = 112 = 352 = 352 = 352 (52 + 112) = 496 = 356 = 356 (52 + 356) = 496 = 794 (52 + 84) = 112 = 202 62 (52 + 84) = 256 76 (52 + 84) = 336 56 (52 +
-58
-72
14
(((1 * 8) * 4) * ((7 * 9) * (6 * 9))) =
(8 * 4) * ((7 * 9) * (6 * 9))) = (8 * 4) * (63 * (6 * 9))) = (8 * 4) * (63 * 54) = 252 (8 * 4) * (63 * 54) = 252 (8 * 4) * (63 * 54) =
((8 * 4) { (7 * 9) * (6 * 9))) = (32 (4 * (6 * (6 * 9))) = (32 (4 * 54)) = (32 (4 * 54)) = 128 = 128 = 32 = 128 = 124 (38 - 128) = -82 = -62 -46 (
-36
-37
1
(((8 * 2) * 6) * ((6 * 7) + (3 + 5))) =
((16 * 6) * ((6 * 7) + (3 + 5))) = ((16 * 6) * (42 + (3 + 5))) = (96 * (42 + (3 + 5))) = (96 * (42 + 8)) = (96 * 10) = 120 = 120. 120 (60 +
(16 * 6) = 96 = 96
-14
-98
84
(((7 - 4) * (7 * 6)) - 8) =
(3 * (7 * 6)) = (3 * 42) = 126 = 138 = 138 = 138 (63 - 126) = -87 = -87 (63 - 87) = -30 (63 - 87) = -36 -21 (15 - 81) = -66 - 9 -75 (15 +
(3*(7 * 6)) = (3*6) = 2 = 6 = 6 = 6 (3 * 6) = 18 = 18
-19
-29
10
(((9 * 2) * (3 * 1)) + ((1 * 5) + (1 + 2))) =
((18 * (3 * 1)) + ((1 * 5) + (1 + 2))) = ((18 * 3) + ((1 * 5) + (1 + 2))) = ((18 * 3) + (5 + (1 + 2))) = )))((18 * 3) + (5 + 3)) = (18 +
(18 * (3 * 1)) + ((1 * 5) + (1 + 2))) = (18 * 3) = 54 = 42 = 36 A. B. C. D. E. 3 (18 + 6) + (6 + (6 + -2)) = (24 + 6) = 30 C. D
-24
-96
72
(((2 * 6) * (3 * 7)) + (7 * (8 - 4))) =
(12 * (3 * 7)) + (7 * (8 - 4))) = ((12 * 21) + (7 * (8 - 4))) = (12 * (3 * 7)) + (7 * 4) = (12 * 14) = 168 = 48 = 48 = 48 (2 * 14) = 48 = 48 + 14
(12 * (3 * 7)) = (12 * 21) = 72 (12 * 21) = 72 (72) = 78 (72) = 78 (78) = 78 (78) = 78 (78) = 78 (78) = 78 0 (78) = 78 0 (78
-30
-73
43
(((7 * 9) - (5 * 7)) + 7) =
(63 - (5 * 7)) + 7 = (63 - 35) = 28 = 17 = 17 = 17 = 17 (63 - 35) = 28 = 14 = 9 11 (63 + 11) = 82 13 (63 - 82) = -21 -11 (5 + 0) = 5 5 (
(63 + (5 * 7)) = (63 + 35) = 98 = 97 + 98. 98 (63 + (5 * 7)) = (63 + 70) = 103 = 154 = 169. 69 (63 - 142) = -83 = -73 = -83. -56 (63 + -69)
-16
-42
26
(((8 + 5) * 5) * 9) =
(13 * 5) = 65 = 65. 65
(13 * 9) = 181 (13 * 9) = 171 (13 * 9) = 201 (13 * 9) = 201 (101 + 2) = 105 11 (101 * 9) = 41 119 (101) = 41 101 (101) = 81 81 7 (81) =
-14
-22
8
(((5 * 2) + (1 + 6)) - 3) =
((10 + (1 + 6)) - 3) = ((10 + 7) - 3) = (27 - 3) = 24 = 21 = 21 = 21 (27 - 3) = 24 = 21 = 21 (27 - 3) = 27 + 18 (27 - 18) = 9 (27 - 18
(10 + (1 + 6)) = (10 + 7) = 17 = 21 = 27 = 27 (17 + 17) = 32 = 51 (17 + 32) = 63 (21 + 63) = 84 (21 + 63) = 84 (63 - 84) = 9 (3 - 9) = -6
-2
-20
18
(((5 * 4) * (6 - 6)) - ((4 - 4) * 3)) =
(20 * (6 - 6)) - ((4 - 4) * 3)) = (20 * 0) - (0 * 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(20 * (6 - 6)) = (20 * 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 =
-47
-73
26
(((3 * 2) - (7 * 5)) + (9 + (4 - 1))) =
((6 - (7 * 5)) + (9 + (4 - 1))) = ((6 - 35) + (9 + (4 - 1))) = ((6 - 1935) + (9 + 3)) = (33 + (9 + 3)) = (33 + 12) = 45 6 = 45 6 = 45 6 =
(6 - (7 * 5)) + (9 + (4 - 1))) = (6 - (7 * 5)) = (6 - 35) = -29 = -29 = -29 “I don�((3 - (7 * 5)) + (9 + (4 - 1))) = (6 - (7 * 5)) =
-16
-92
76
(((9 * 9) * 7) + ((8 * 1) * (2 * 5))) =
(81 * 7) + ((8 * 1) * (2 * 5))) = (81 + ((8 * 1) * (2 * 5))) = (81 + (8 * 1) + (2 * 5)) = (81 + 8) = 89 = 89 = 89 = 89 (81 + 8) = 89 = 89
(81 + ((8 * 1) * (2 * 5))) = (81 + (8 * 1) * (2 * 5)) = (81 + 8) = 89 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = (81 + 8) = 91
-41
-55
14
(((6 - 2) + (3 + 9)) + 8) =
(4 + (3 + 9)) = (4 + 12) = 16 = 20 = 20 = 20 Solve -9 = -5*g - 8 for g. -7 Supp(((-4 + 4) + 2) + (6 + 2)) = (2 + 2) = 4 6 (3 - 3) =
(4 + (3 + 9)) = (4 + 13) = 15 = 20 = 20 (4 + 13) = 21 = 28 = 28 (4 + 13) = 21 = 21 (4 + 13) = 21 = 21 (4 + 13) = 21 = 21 1 + 21 = 21
-19
-21
2
(((4 + 9) * (5 * 2)) * 7) =
((13 * (5 * 2)) * 7) = ((13 * 10) * 7) = (130 * 7) = 980 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 1086 = 10
(13 * (5 * 2)) = (13 * 10) = 130 = 130 (13 * 10) = 130 = 130 (13 * 10) = 130 = 130 (13 * 10) = 130 = 130 0 = 130 = 130 0 = 130 0 = 130 0 = 130
-1
-28
27
(((2 * 1) + 3) + (4 - 1)) =
((2 + 3) + (4 - 1)) = ((2 - 3) + 3) = (1 + 3) = 4 = 5 = 5 (1 + 3) = 5 = 5 (1 + 3) = 5 (1 + 3) = 5 (1 + 3) = 5 (2 + 5) = 7
(2 + 3) = 5 = 7 = 7 (7) = 7 = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7
-3
-36
33
(((8 + 5) + 7) * (4 - 8)) =
((13 + 7) * (4 - 8)) = ((13 + 7) * -4) = (20 * -4) = -80 = -80 = -80 = 80 = 80 = 80 = 80 = 80 = 80 = 80 = 80 = 80 = 80 = 80 = 80
((13 + 7) * (4 - 8)) = (20 * (4 - 8)) = (20 * -4) = -80 = -80 = -80 (80 + -80) = 0 = 0 = 0 0 = 0 = 0 0 = 0 0 = 0 0 0 = 0 0 0
0
-9
9
(((7 * 2) + (2 + 7)) * ((3 * 2) * (7 * 7))) =
(14 * (2 + 7)) = (14 * 9) = 84 (14 * 9) = 84 (84 = 84) (84) = 0 (84) = 0 0 0 (84) = 0 0 0 (84) = 0 0 0 0 0 0
(14 + (2 + 7)) = (14 + 9) = 25 = 49 = 49 San Francisco, California The San Francisco Times August 6, 2017 1 2 3 4 2 3 1 2 3 3 1
-115
-127
12
(((9 + 6) * 9) - 5) =
(9 * 9) = 81 = 81 = 81 (9 * 9) = 144 = 141 = 57 (9 * 9) = 144 = 141 (9 * 9) = 144 = 141 3 (9 + 9) = 180 27 (9 * 9) = 180 81 (9 * 9) = 180
(15 * 9) - (15 - 5) = 10 - 5. -5 (15 + 1) = 16 - 16. 1 (15 - 16) = -1
-19
-34
15
(((1 * 2) - (8 - 5)) - (2 + 9)) =
((2 - (8 - 5)) - (2 + 9)) = ((2 - 3) - (2 + 9)) = (2 - (2 + 9)) = (2 - 11) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9
(2 - (8 - 5)) = (2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 (2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1
-12
-45
33
(((2 + 9) + (4 + 8)) + (1 + (6 + 8))) =
((11 + (4 + 8)) + (1 + (6 + 8))) = :: (11 + (4 + (6 + 8))) = :: (11 + 14) = (25 + (4 + 6)) = (25 + 10) = 35 = Let l = -5 + 5. 0. This will be the fifth till
(11 + (4 + 8)) = (11 + 12) = 23 = 36 = 36 = 36 (11 + 12) = 31 = 36 = 36 (11 + 36) = 47 = 47 (11 + 36) = 47 (46*b) = 47 1 5 5
-28
-89
61
(((8 + 3) * (4 * 3)) + 8) =
((11 * (4 * 3)) + 8) = (11 * 12) = 132 = 168 = 120 = 120 = 120 = 120 (132 + 168) = 264 = 348 = 48 (132 - 168) = 84 (84 - 84) = 0 0 (4 + 6) = 10 14 (4 +
(11 * (4 * 3)) = (11 * 12) = 132 = 132 = 132 = 132 (132 - 132) = (0) = 0 = 0 0 (132 + 138) = 306 = 846 242 (66 + 109) = 269 43 (66 + 69) = 333 63 (
-14
-20
6
(((9 - 8) - (2 * 3)) - (2 + (7 * 7))) =
((1 - (2 * 3)) - (2 + (7 * 7))) = (((1 - 6) - (2 + (7 * 7))) = ((1 - 6) - (2 + 49)) = ((1 - 6) - 51) = (-5 - 51) = -52 = -52 = -52 = -52 =
((1 - (2 * 3)) - (2 + (7 * 7))) = ((1 - 4) - (2 + (7 * 7))) = ((1 - 4) - (2 + 49)) = (1 - (2 * 49)) = (1 - 98) = -97 = -97 = -97 = -
-11
-13
2
(((9 - 1) - 4) * (1 * 4)) =
((8 - 4) * (1 * 4)) = ((8 - 4) * 1) = (4 * 1) = 4 (4) = 8 (8) = 16 (16) = 16) = 16 (16) = 16 (16) = 16 (16) = 16 (16) = 16 (16
(8 - 4) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2) = ((8 - 4) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2) = ((8 - 4) = 2 = 2 = 2 = 2 = 2
-7
-33
26
(((1 * 6) - 6) * 3) =
((6 - 6) * 3) = (0 * 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
((36 - 6) * 3) = (30 * 3) = 90 = 90 (30 * 3) = 90 = 90 (90 = 90) = 0 = 90 = 90 = 90 = 90 = 90 1 = 90 1 = 90 1 = 90 1 = 90 1 = 90
0
-3
3
(((2 - 4) - 2) + 5) =
((-2 - 2) + 5) = (-4 + 5) = 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
(-2 - 2) = -4 = -4 = -4 (jpg + 5) = (5 + 5) = 10 (5 + 5) = 15 (15) = 25 (15) = 15 5 (5 + 5) = 10 15 (5 + 5) = 10 15 (
0
-14
14
(((2 - 4) - 3) * 8) =
(2 - 3) = (-1 * 8) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = ( (2 - 3) = -8) = -8 = -8 = -8 = -8 = -8 = -8 = -8 =
(1 - 3) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = (1 - 2) = -1 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = -2 =
-12
-19
7
(((1 - 7) + 8) - (9 - (4 * 2))) =
(-6 - (9 - (4 * 2))) = (-6 - 16) = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22) = (22 - 22) = 0 = 0 = 0 = 0 = 0 = 0 = 0
(6 - 8) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = -
-40
-59
19
(((7 * 1) - 3) + 2) =
(7 - 3) = 4 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3) = (7 - 3) =
(+7 - 2) = (5 - 2) = 3 (3 - 3) = 0 (0 - 3) = -3 (0 - 3) = -3 (0 - 3) = -3 (0 - 3) = -3 (0 - 3) = -3 (0 - 3) =
-13
-16
3
(((7 + 7) * 1) - (2 * (9 - 5))) =
((14 * 1) - (2 * (9 - 5))) = (14 - (2 * (9 - 5)) - (2 * 4)) = (14 - (2 * 4)) = (14 - 8) = 6 = 4 (14 - 8) = 6 (14 - 8) = 6 (14 - 8) =
(14 * 1) = 14 14 (14 * 1) = 14 14 (14 * 1) = 14 14 (14 * 1) = 14 14 (14 * 1) = 14 14 What (2 * 2) = 2 4 (2 * 2) = 2 4 1 4
-13
-57
44
(((5 + 3) * (1 * 3)) * 6) =
(8 * (1 * 3)) = (8 * 3) = 24 = 48 = 48. 48 (((5 + 3) * (1 * 3)) * 6) = (8 * 3) = 24 = 24. 72 (8 * 3) = 24 = 36 24 (8 * 3) = 24 24
(8 * (1 * 3)) = (8 * 3) = 24 = 72 = 72 (72 * 3) = 24 = 24 24 (72 = 24) = 72 84 (72 + 24) 132 (72) = 72 12 (72) = 72 12 (72) = 72 12
-20
-21
1
(((6 + 3) - (6 - 1)) * ((7 + 7) - 1)) =
((9 - (6 - 1)) * ((7 + 7) - 1)) = ((9 - 5) * ((7 + 7) - 1)) = ((9 - 5) * (14 - 1)) = (4 * (14 - 1)) = (4 * 13) = 52 ever = 52 = 52 (4 * 13) =
((9 - (6 - 1)) * ((7 + 7) - 1)) = ((9 - 5) * ((7 + 7) - 1)) = ((9 - 5) * (14 - 1)) = ((9 - 5) * (14 - 1)) = (4 * (14 - 1)) = (4 *
0
-18
18
(((1 * 4) - 4) - (5 * 3)) =
((4 - 4) - (5 * 3)) = ((4 - 4) - 15) = (0 - 15) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15
((4 - 4) - (5 * 3)) = (0 - (5 * 3)) = (0 - 15) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 (15 + -15) = 0 = 0 = 0 = 0
0
-7
7
(((2 * 6) + (2 * 1)) - 3) =
(12 + (2 * 1)) = (12 + 2) = 14 = 16 = 16 In 11, 7, 8, 5, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1
(12 + (2 * 1)) = (12 + 2) = 14 = 14 (12 + 14) = 26 = 38 (26 + 34) = 54 (50 + 54) = 101 tnc1 = 9 (9 - 9) = 0 0 = 0 0 = 0 0 = 0 0 = 0
-19
-27
8
(((2 - 1) + 7) * ((5 - 7) + 2)) =
((1 + 7) * ((5 - 7) + 2)) = (8 * ((5 - 7) + 2)) = (8 * (2 + 2)) = (8 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
((1 + 7) * ((5 - 7) + 2)) = (1 + (5 - 7)) = (1 + -2) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
-11
-27
16
(((2 - 9) - (3 - 7)) * (3 - (8 + 7))) =
((-7 - (3 - 7)) * (3 - (8 + 7))) = ( ((-7 - -4) * (3 - (8 + 7))) = ((-7 - -4) * (3 - 14)) = (2 * (3 - 14)) = (2 * -7) = -14 = -14 = -
((-7 + (3 - 7)) * (3 - (8 + 7))) = ( ((-7 - -4) * (3 - (8 + 7))) = ((-7 + (3 - 8) * (3 - 17))) = ((-7 - -4) * (3 - -15)) = (3 * (3
-13
-27
14
(((3 - 6) - 3) + (6 * 7)) =
((-3 - 3) + (6 * 7)) = ((-3 - 3) + 42) = (-6 + 42) = 36 = 30 (36 + 42) = 90 = 108 (36 + 36) = 108 (36 + 39) = 189 (36 + 39) = 189 39 (36 + 39)
((-3 - 3) + (6 * 7)) = (6 + (6 * 7)) = (6 + 42) = 48 = 42 (6 + 42) = 48 = 54 78 (6 - 42) = -36 -30 -6 (6 + 42) = 54 66 (6 - 42
0
-12
12
(((7 - 6) * 6) * (7 + 1)) =
(1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (1 * 6) = 6 = 6 = 6 = 6 = 6) = (1 * 6) = 6 = 6 = 6 = 6 = 6
(1 * 6) = 6.
-32
-33
1
(((1 - 7) - 5) - 8) =
(-6 - 8) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14) = (14 + -14) = -14 = -14 = -14 = -14 = -14 (14 = -14) = -14 = -14
(6 - 5) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1) = 1 = 1
-15
-19
4
(((4 + 7) * 8) * 6) =
((11 * 8) * 6) = (88 * 6) = 108 = 108 = 108 = 108 = 108 = 12 Here's two examples where index (1) has been higher than (8) = 108 = 108 = 12 KPM 1.1 = 6 + 68 = 74 Here's two examples where index (1) has been
((11 * 8) * 6) = (88 * 6) = 88 (88 * 6) = 482 0 = 482 8 = 482 0 = 482 8 = 482 8 = 482 8 = 482 8 = 482 8 = 48
-2
-9
7
(((3 * 9) * (6 - 2)) * 8) =
((27 * (6 - 2)) * 8) = ((27 * 4) * 8) = (108 * 8) = 96 = 192 = 216 (108 * 8) = 192 (108) = 192 (192) = 192 (192) = 192 (192) = 192 (192) = 192 (192)
(27 * (6 - 2)) = (27 * 4) = 84 = 48 = 48 (84 = 84) = 96 = 96 (96 = 96) = 96 (96 = 96) = 96 (96) = 96 ((96 = 96) = 96) = 96 (96) = 96 (96) =
-2
-23
21
(((1 * 2) + (7 - 6)) + (8 + 6)) =
((2 + (7 - 6)) + (8 + 6)) = ((2 + 1) + (8 + 6)) = ((2 + 1) + 14) = (3 + 14) = 17 = 21 (17 + 21) = 38 = 53 (17 + 33) = 58 (17 + 33) = 58 (17
((4 + (7 - 6)) + (8 + 6)) = ((4 + 1) + (8 + 6)) = ((4 + 1) + 14) = (5 + 14) = 19 = 27 (5 + 14) = 29 (19 + 19) = 54 (19 - 18) = 1 1
0
-5
5
(((4 + 1) + 1) * (9 * (1 * 1))) =
((5 + 1) * (9 * (1 * 1))) = ((5 + 1) * 9) = (6 * 9) = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54
((5 + 1) * (9 * (1 * 1))) = (6 * (9 * 1)) = (6 * 9) = 54 = 54 = 54 = 54 = 54 (6 * 9) = 54 = 54 = 54 = 54 (6 * 9) = 54 = 54 (6 * 9) = 54 = 54
-19
-20
1
(((2 * 5) * (5 + 9)) + (6 + (5 + 2))) =
((10 * (5 + 9)) + (6 + (5 + 2))) = ((10 * 14) + (6 + (5 + 2))) = ((10 * 14) + (6 + 9)) = (40 + (6 + 9)) = (40 + 15) = 55 Trux = 55 = 55 = 55 = 55 = 55
(10 * (5 + 9)) = (10 * 14) = 70 = 70 = 70 = 70 = 70 = 70 What (10 - 14) = -4 = -4 = -4 = -8 = -8 = -8 (10 - 6) = 2 = 2 = 2 = 2 (6 + 1
-7
-82
75
(((5 - 7) - 5) + 1) =
((-2 - 5) + 1) = (-7 + 1) = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (6 + -6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(-2 - 5) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7
0
-14
14
(((8 - 2) * (4 - 7)) - (3 * 9)) =
((6 * (4 - 7)) - (3 * 9)) = { (6 * -3) - (3 * 9)) = ((6 * -3) - 27) = ((6 * -3) - 27) = (-18 - 27) = -39 = -39 = -39 = -39 =1989 - 397 =
(6 * (4 - 7)) = (6 * -3) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = (18 = -18) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
-19
-49
30
(((7 + 1) * (8 + 7)) - ((9 - 2) + 9)) =
((8 * (8 + 7)) - ((9 - 2) + 9)) = ((8 * 15) - ((9 - 2) + 9)) = ((8 * 15) - (7 + 9)) = (180 - (7 + 9)) = (180 - 16) = 160 = 160 (160 - 16) = 140 = 140
((8 * (8 + 7)) - ((9 - 2) + 9)) = ((8 * 15) - ((9 - 2) + 9)) = ((8 * 15) - (7 + 9)) = ((8 * 15) - (7 + 9)) = (180 - (7 + 9)) = (180 - 16) = 64 =
-4
-23
19
(((2 * 8) * (7 - 9)) + ((1 * 2) * 4)) =
(16 * (7 - 9)) = (16 * -2) = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 (32 + -32) = 8 (32 + -32) = 8 8 (32 + -32) = 8 0 (32
(16 * (7 - 9)) = (16 * -2) = -32 = -32 Note that (16 * -2) = -32 = -32 -16 Let v = -646 - -651. 5 Let o(d) = 941*d - 120. -679 (10 + 1
-77
-84
7
(((2 - 3) * (5 + 6)) + (1 * 4)) =
((-1 * (5 + 6)) + (1 * 4)) = ((-1 * 11) + (1 * 4)) = ((-1 * 11) + 4) = (11 + 4) = 15 = 21 = 21 (11 + 4) = 21 (11 = 21) (21) = 21
(*1 * (5 + 6)) + (1 * 4) = ( (*1 * 11) + 4) = (11 + 4) = 15 (17) = 28 (17) = 28) = 28 (28) = 28 (17 + 4) = 21 (21) = 21 (21) = 21 (21)
-5
-33
28
(((7 - 4) * 6) * 3) =
((3 * 6) * 3) = (18 * 3) = 54 = 162 = 162 (18 * 3) = 54 = 162 (18 * 3) = 72 (18 * 3) = 72 42 72 72 72 72 72 72 72
(3 * 6) (3 * 6) = 18 18 (3 * 6) = 18 18 (3 * 6) = 18 18 (3 * 6) = 18 27 (3 * 18) = 21 27 (3 * 18) = 18 27 (3 * 18) = 18
0
-20
20
(((3 + 3) * (8 - 9)) + (6 * (6 - 7))) =
(6 * (8 - 9)) + (6 * (6 - 7))) = (6 * (2 * (6 - 7)) + (6 * -1)) = (6 * -1) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
(6 * (8 - 9)) + (6 * (6 - 7))) = (6 * (1 - 1)) = (6 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 (2 + (6 - 9)) = (2 * 0)
-53
-61
8
(((9 * 2) - 4) * 6) =
(18 * 6) = 72. 84 (18 - 18) = (0 + 6) = 6 6 (2 + 6) = 8 8 (2 + 6) = 8 8 (2 + 8) = 10 10 (2 + 8) = 10 12 (2 + 8) = 10
(18 - 4) = 14 + 10. 6 (18 - 4) = 14. 10 (18 - 3) = 15 9 (2 - 1) = 1 1 (2 - 1) = 1 1 (2 + 1) = 3 3 (2 - 1) = 3 1
-21
-28
7
(((3 + 3) + 4) * (8 * 9)) =
(6 + 4) * (8 * 9) = (6 + 4) * (8 * 9) = 36 = 70 = 80 = 80 = 80 = 80 = 80 (70 + 0) = 70 = 70 (70 + 0) = 70 (70) = 70 0 (70 + 0) = 70 70
(6 + 4) = 10 = 26 = 26 (6 + 4) = 10 = 26 (6 + 4) = 22 22 (6 + 4) = 16 30 (6 + 4) = 22 34 (6 + 4) = 22 26 (6 + 4) = 22 26 (
-19
-43
24
(((8 - 9) - (6 - 7)) * 7) =
((-1 - (6 - 7)) * 7) = ((-1 - -1) * 7) = (0 * 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
((1 - (6 - 7)) * 7) = ((1 - -1) * 7) = (2 * 7) = 14 = 14 (2 * 7) = 14 = 14 (2 * 14) = 28 = 28 8 = 28 (2 * 14) = 28 28 (2 * 14) = 28
0
-5
5
(((3 + 6) * (7 + 3)) * 8) =
((9 * (7 + 3)) * 8) = ((9 * 10) * 8) = (90 * 8) = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 1002 = 100
((9 * (7 + 3)) * 8) = ((9 * 10) * 8) = (90 * 8) = 90 (90 * 8) = 90 (90 * 8) = 80 80 (90 * 8) = 80 80 (90 * 8) = 80 80 (90 * 8) = 80
-3
-9
6
(((6 - 9) - 4) * 6) =
((-3 * 6) * 6) = (-18 * 6) = -108 = -108 = -108 (108 + 9) = 171 = 243 (108 = 243) = 171 (171) = 231 (231) = 231 (231) = 231 (231) = 231 (231) = 237 (
(3 - 4) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = (3 -
-10
-18
8
(((5 + 8) + 1) - (9 * (8 * 9))) =
((13 + 1) - (9 * (8 * 9))) = ((13 + 1) - (9 * 72)) = (14 - (9 * 72)) = (14 - 6) = 8=4 = 4 = 4 = 4 = 4 (7 - 8) = -1 = -1 = -1 3 (
(13 + (9 * (8 * 9))) = (13 + 72) = 79 = 79 = 79 = 79 = 79 = 79 (79 + 79) = 170 (79 = 170) = 95 (79) = 95 (79) = 95 (79) = 95 (79) = 95 (79)
-9
-50
41
(((5 * 2) - 9) + 3) =
(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 = 1 = 1 = 1 = 1 =
(10 - 9) = 1 = 9 from 9. 0 (10 - 9) = 1 = 1 = 9 from 9. 0 (7 - 1) = 6 7 (6 + 1) 7 (7 - 1) 8 (7 - 1) 6 (7 - 1) 7
-13
-25
12
(((8 + 5) * 8) - 1) =
(13 * 8) = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104) = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 = 104 =
(13 * 8) = 64 = 64 = 64 8 (8 + 4) = 12 = 16 16 (8 - 8) = 0 0 (0 - 4) = -4 -4 (8 - 8) = 0 0 (4 + 8) = 16 24 (4 + 8)
-13
-17
4
(((1 + 5) * 9) + ((4 * 1) - (7 - 2))) =
((6 * 9) + ((4 * 1) - (7 - 2))) = ((6 * 9) + (4 - (7 - 2))) = ((6 * 9) + (4 - 5)) = (54 + (4 - 5)) = (54 + -1) = 53 = 53 = 53 = 53 (1 + -
(6 * 9) + ((4 * 1) - (7 - 2))) = (6 * 9) + ((4 * 1) - (7 - 2))) = (6 * 9) + (4 - (7 - 2))) = (6 * 9) + (4 - 6)) = (6 * 9) + (4 - 6
0
-36
36
(((1 * 6) - (8 - 6)) - 7) =
((6 - (8 - 6)) - 7) = ((6 - 2) - 7) = (4 - 7) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3
((6 - (8 - 6)) - 7) = (6 - 2) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2) = 1 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (1 - 2) = -1 = -1 = 2 = 2 (1 - 2
0
-16
16
(((9 - 6) - (6 + 3)) + (4 - 6)) =
((3 - (6 + 3)) + (4 - 6)) = ((3 - 9) + (4 - 6)) = ( (3 - 9) + -2) = (-6 + -2) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 =
(3 - (6 + 3)) = (3 - 9) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -
-1
-46
45
(((3 * 6) + 1) * ((7 * 3) + 3)) =
((18 + 1) * ((7 * 3) + 3)) = (18 * ((7 * 3) + 3)) = (18 * 7) = 126 = 186 = 186 = 634 (6 + 106) = 118 = 118 = 634 2 (6 + 118) = 118 = 118 = 634 62 (
(18 + 1) = 19 = 20 = 20 = 20 9 9 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
-26
-100
74
(((3 - 7) * 9) + 6) =
(-4 * 6) = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24) = -
(4 * 6) = 24 = 72 (72 - 72) = 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 =
-18
-31
13
(((8 + 3) * 7) * ((2 - 6) - (1 + 4))) =
((11 * 7) * ((2 - 6) - (1 + 4))) = ((11 * 7) * (-4 - (1 + 4))) = ((11 * 7) * (-4 - 5)) = (77 * (-4 - 5)) = (77 * -9) = -63 = -63 = -63 = -63 =
((11 * 7) * ((2 - 6) - (1 + 4))) = ((11 * 7) * (-4 - (1 + 4))) = (77 * (-4 - (1 + 4))) = (77 * (4 - 3)) = (77 * 1) = 77 = 77 = 77 = 77 = 77 = 77 =
-2
-24
22
(((8 - 2) - 6) - ((7 - 4) - (4 * 8))) =
((6 - 6) - ((7 - 4) - (4 * 8))) = ((6 - 6) - (3 - (4 * 8))) = ((6 - 6) - (3 - 32)) = (0 - (3 - 32)) = (0 - -29) = 29 = 29 = 29 = 0 = 29 =
((6 - 6) - ((7 - 4) - (4 * 8))) = ((6 - 6) - (3 - (4 * 8))) = ((6 - 6) - (3 - 32)) = (0 - (3 - 32)) = (0 - -31) = 31 = 31 = 31 = 31 = 31 =
0
-4
4
(((8 + 9) + (4 * 1)) * (3 * (6 * 7))) =
((17 + (4 * 1)) * (3 * (6 * 7))) = ((17 + 4) * (3 * (6 * 7))) = ((17 + 4) * (3 * 42)) = (21 * 42) = 102 = 102 = 102 = 609 (2 * 42) = 102 = 102 = 6
(17 + (4 * 1)) * (3 * (6 * 7))) = (17 + 4) = 21 = 25 = 30 = 45 (21 + 21) = 21 = 30 = 45 (20 + 30) = 45 (50 * 36) = 360 (40 * 36) = 360 At
-18
-73
55
(((6 * 1) + 9) + ((9 - 5) * (9 * 6))) =
((6 + 9) + ((9 - 5) * (9 * 6))) = ((6 + 9) + (4 * (9 * 6))) = (18 + (4 * 54) = (18 + 96) = 126 = 146 = 146 Op 4 = (18 + (4 * 54)) = (18 + 118) = 134 =
(6 + 9) = 15 = 21 = 21 = 21 = 21 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
-27
-110
83
(((1 - 8) - 7) + 3) =
((-8 - 7) + 3) = (-15 + 3) = -12 = -12 = -12 = -12 = -2) = -2 = -2 = -2) = -2 = -2 = -2) = -2 = -2 = -2) = -2 = -2 = -2) = -
((-7 - 7) + 3) = ((-14 + 3) + 3) = (-11 + 3) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -10 = -10) = -8 = -
-4
-14
10
(((5 + 5) - (9 * 6)) - (6 - (9 + 8))) =
((10 - (9 * 6)) - (6 - (9 + 8))) = ((10 - 54) - (6 - (9 + 8))) = (54 - (6 - (9 + 8))) = (54 - (6 - 17)) = (54 - 7) = 47 = 46 = 46 (54 - 7) = 47
(10 - (9 * 6)) - (6 - (9 + 8))) = (10 - 54) - (6 - (9 + 8))) = (10 - 54) - (6 - 19) = (10 - 54) - (6 - 19) = -50 = -50 = -50 = -50 = -50 = -50
-23
-27
4
(((6 + 7) * (9 + 2)) - (3 + (8 + 5))) =
(13 * (9 + 2)) - (3 + (8 + 5))) = (13 * 11) - (3 + (8 + 5))) = (13 * 11) - (3 + 13)) = (13 - (3 + 13)) = (13 - 20) = -7 = -7 = -7 = -7 = -7
(13 * (9 + 2)) = (13 * 11) = 143 = 143 =143 = 143 = 143 = 143 = 143 = 143 = 143 = 143 = 143 = 143 = 133 = 133 = 133 = 133 = 133 = 133 = 133 = 133 = 133 = 133 = 133 ch 1 = 133 = 133 = 133 = 133 = 133 = 133
-9
-78
69
(((9 + 5) - 4) * ((4 * 8) - (7 + 5))) =
((14 - 4) * ((4 * 8) - (7 + 5))) = ((14 - 4) * (32 - (7 + 5))) = ((14 - 4) * (32 - 12)) = (10 * (32 - 12)) = (10 * 8) = 80 = 80 = 80 = 80 = 80
(14 - 4) = 10 + 10 = 20 = 20 = 20 = 20 = 20 = 20 = 20 (14 + 10) = 30 = 40 = 50 = 50 (14 + 50) = 60 = 70 (14 + 50) = 70 (70 + 55) = 165 (70 + 55
-4
-91
87
(((9 - 8) * (3 + 3)) - 2) =
((1 * (3 + 3)) - 2) = ((1 * 6) - 2) = (6 - 2) = 4 = 2 = 2 = 2 = 2 (2 - 2) = 0 = 0 (0 = 0) = 0 0 = 0 The last vote went in favor of 1. 1 (0
(1 * (3 + 3)) = (1 * 6) = 6 = 6 (1 * 6) = 6 (6) = 6 0 (6) = 6 6 (6) = 6 0 1 3 2 1 3 3 4 1 5 4 1 5
0
-26
26
(((9 * 8) - (2 - 6)) + ((8 + 9) * 8)) =
((72 - (2 - 6)) + ((8 + 9) * 8)) = ((72 - -4) + ((8 + 9) * 8)) = ((72 - -4) + (17 * 8)) = (76 + (17 * 8)) = (76 + 96) = 152 = 238 = 238 = 238 = 238
(72 - (2 - 6) + ((8 + 9) * 8)) = (72 - -4) = 76 = 80 = 80 = 80 (72 + -4) = 72 = 80 (72 + -4) = 80 (72 - -4) (80 - 40) (12 - 40) (
-4
-75
71
(((1 + 6) * 7) * ((7 + 9) + 9)) =
(7 * 7) = 47. 7 (7 + 7) = 10 17 (7 + 7) = 14 21 (7 + 7) = 14 21 (7 + 7) = 14 21 2 (7 + 7) = 14 21 What (7 + 7) = 14 21
(7 * 7) = 497 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797 = 797) = 1 = 797 = 797 = 797 = 797 = 797 = 797 = 7
-58
-63
5
(((3 * 3) + (6 * 8)) + (9 * 6)) =
((9 + (6 * 8)) + (9 * 6)) = (9 + 48) = 57 = 63 = 63 = 63 = 63 ((9 + 48) + (9 * 6)) = (9 + 57) = 60 = 63 (60 + (63 - 6)) = 60 = 63 (60 + 63) =
(9 + (6 * 8)) = (90 + 48) = 198 = 234 (90 + 48) = 258 = 234 (90 + 48) = 354 (198) = 354 (198) = 354 (198) = 354 03 ((18 - 8) + (4 - 1)) = (8 + (
-38
-48
10
(((9 - 5) * (1 + 4)) - ((7 + 6) - 4)) =
((4 * (1 + 4)) - ((7 * 7) - 1)) = ((4 * 5) - ((7 + 6) - 4)) = ((4 * 5) - (13 - 4)) = (20 - (13 - 4)) = (20 - 9) = 11 = 7 = 7 = 7 * 9 = 81 = 81
((4 * (1 + 4)) - ((7 + 6) - 4)) = (4 * (1 + 4)) = (4 * 5) = 10 = 10 = 10 = 10 = 10 (4 * 5) = 10 = 10 = 10 1 1 1 1 5 5
-3
-48
45
(((8 + 5) * 5) * ((7 + 6) + (1 - 6))) =
((13 * 5) * ((7 + 6) + (1 - 6))) = ((13 * 5) * (17 + (1 - 6))) = (65 * (17 + (1 - 6))) = (65 * (-17 + -5)) = (65 * -17) = -155 = -155 = -155 =
(13 * 5) = 65 = 65. 13 (13 - 65) = -52 = -41. -39 (13 - 58) = -45 = -41. -13 (13 + 7) = 26. 29 (13 - 58) = -47. -39 (1373 - 113
-21
-90
69
(((1 * 8) - (5 - 4)) - 6) =
((8 - (5 - 4)) - 6) = ((8 - 1) - 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 =
((8 - (5 - 4)) - 6) = ((8 - 9) - 6) = (-1 - 6) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = (1 - 7) = -7 = -7 = -7 = -7 = -7 = -
0
-5
5
(((8 - 4) * (2 + 6)) * (9 - (2 * 7))) =
((4 * (2 + 6)) * (9 - (2 * 7))) = ((4 * 8) * (9 - (2 * 7))) = ((4 * 8) * (9 - 14)) = (32 * (9 - 14)) = (32 * -5) = -160 = -160 = -160 = -160 =
(4 * (2 + 6)) * (9 - (2 * 7))) = ((4 * 8) * (9 - (2 * 7))) = (4 * (4 * 7) * (9 - 14)) = (4 * 14) * (14 - 6) = 8 = 8 = 8 = 4 = 4 = 4 (
0
-34
34
(((5 - 5) + (1 - 7)) * ((3 + 9) - (4 - 5))) =
((0 + (1 - 7)) * ((3 + 9) - (4 - 5))) = ((0 + -6) * ((3 + 9) - (4 - 5))) = ((0 + -6) * (3 - (4 - 5))) = (0 * (3 - (4 - 5))) = (0
(0 + (1 - 7)) * ((3 + 9) - (4 - 5)) = (0 + -4) = -4 = -4 = -4 = -4 = -4 (0 - -4) = 0 = 0 = 0 = 0 0 = 0 = 0 0 = 0
-42
-107
65
(((5 - 4) * 2) + ((2 * 1) + 2)) =
((1 * 2) + ((2 * 1) + 2)) = ((1 * 2) + (2 + 2)) = (3 + (2 + 2)) = (3 + 4) = 7 = 13 = 5 (7 + 4) = 13 should be 13 + 12 = 17 sneak out of the assignment (7 + 7
(1 * 2) + ((2 * 1) + 2)) = (2 + ((2 * 1) + 2)) = (2 + 2) = 4 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (1 * 2) + ((2 * 1) + 2)) = (2 + (2 + 2
-3
-22
19
(((9 * 6) + (4 * 8)) * ((2 + 3) * (4 - 3))) =
((54 + (4 * 8)) * ((2 + 3) * (4 - 3))) = ((54 + 32) * ((2 + 3) * (4 - 3))) = ((54 + 32) * (7 * (4 - 3))) = ((54 + 32) * (7 * 1)) = (86 * (7 * 1))
(54 + (4 * 8)) = (54 + 128) = 182 = 254 = 182 = 182 = 82 = 82 = 82 = 82 = 82 (4 * 8) = 32 = 64 = 64 (4 * 8) = 32 = 64 8 (4 * 8) = 32 = 64 32 (4 * 8
-14
-117
103
(((9 - 4) - (8 * 5)) - 8) =
((5 - (8 * 5)) - 8) = ((5 - 40) - 8) = (35 - 8) = 27 = 19 (35 - 8) = 27 = 19 (35 - 19) = 16 (19 - 16) = 5 3 (19 - 16) = 5 3 (19 - 16)
(5 - (8 * 5)) = (5 - 40) = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30) = -30 = -30 =
-13
-23
10
(((3 * 6) + (2 - 4)) - 8) =
(18 + (2 - 4)) = (18 + -2) = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 (18 + 16) = (34 + 16) = 54 = 78 = 94 (18 + 16) = 74
(18 + (2 - 4)) = (18 + -2) = 16 = 16 (16 - 14) = 2 (2 - 2) = 2 4 (2 - 2) = 2 2 ((2 - 2) + 2) = 2 2 (2 + 2) = 4 6 (2 -
-20
-29
9
(((7 * 6) - 2) - 6) =
(42 - 2) = 40 = 40 (40 + 39) = 79 (40 + 39) = 139 (-59) = -62 -41 (90 - 59) = 41 25 (6 - 4) = 2 2 (3 - 4) = -1 -1 (3 - 4)
(42 - 2) = 4027 = 4027 (42 - 2) = 4027 = 4027 (42 - 2) = 4027 = 4027 (42 - 2) = 4027 = 4027 (42 - 2) = 4027 = 4027 repeated 15 times, but condition has not changed (42
-22
-23
1
(((6 - 8) * 5) * 9) =
((-2 * 5) * 9) = (-10 * 9) = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90 = -90
(2 * 9) = 18.2 (2 * 9) = 18.2 (18.2) = 18.2 (18.2) = 18.2 (18.2) = 18.2 1 (18.2) = 18.2 18 (18) = 18 18 (
0
-28
28
(((7 - 1) - 9) - 8) =
((6 - 9) - 8) = (-3 - 8) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11) = (11 = -11) = -11 = -11 = -11 = -11 = -11 = -11) = (11 = -11
(6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (3 - 9) = -6 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
0
-16
16
(((3 * 2) - (3 * 6)) * 9) =
((6 - (3 * 6)) * 9) = ((6 - 18) * 9) = (-12 * 9) = -72 = -72 = -72 = -72 = (72 = -72) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(6 - (3 * 6)) = (6 - 18) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = -12 = -12 = -12 (12 - 12) = 0 = 0 = 0 = 0 = 0 0 (7 -
-6
-22
16
(((3 - 7) - (9 * 6)) * (8 - 2)) =
((-4 - (9 * 6)) * (8 - 2)) = ((-4 - 36) * (8 - 2)) = ((-4 - 36) * 6) = (-38 * 6) = -228 = -228 = -228 = -228 = -228 = -228 = -228 = -228 = -228
(4 - (9 * 6)) = (4 - 54) = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -50 = -
-9
-52
43
(((2 * 1) + 5) - (1 - 4)) =
((2 + 5) - (1 - 4)) = ((2 + 5) - -3) = (7 - -3) = 10 = 13 = 13 (7 - -3) = 10 = 13 (7 - -3) = 14 (7 - -3) = 10 (7 - -3) = 10 14
(1 + 5) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (6 + 6) = 18 = 18 = 18 = 18 (6 - 18) = -12 + 18 = 6 = 12 (6 + 18) = 18 + 18 (
0
-37
37
(((7 * 6) - 2) * 4) =
(42 - 2) = 40 = 42 (42 - 2) = 40 (42) = 42 (42) = 42 (42) = 42
(42 - 2) = 40. 34 (42 - 2) = 40. 34 (42 - 2) = 40 46 (42 - 2) = 44 46 (42 - 2) = 44 42 (41 - 2) = 43 45 7 6 9 7 7 7
-22
-25
3
(((5 - 1) * (5 - 7)) + ((2 * 2) * (8 * 4))) =
((4 * (5 - 7)) + ((2 * 2) * (8 * 4))) = ((4 * -2) + ((2 * 2) * (8 * 4))) = ((4 * -2) + (4 * (8 * 4))) = ((4 * -2) + (4 * 32)) = (-8 +
(4 * (5 - 7)) = (4 * -2) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 =
-23
-116
93
(((9 * 1) * (1 * 5)) + (2 - 9)) =
((9 * (1 * 5)) + (2 - 9)) = ((9 * 5) + (2 - 9)) = ((9 * 5) + -7) = (45 + -7) = 38 = 31 = 31 ((9 * 5) + -7) = (45 + -7) = 31 = 31 ((45 +
((9 * (1 * 5)) + (2 - 9)) = ((9 * 5) + (2 - 9)) = (45 + (2 - 9)) = (45 + -7) = 38 = 31 (45 + -7) = 38 = 31 9 (45 + -7) = 34 32 (36
0
-8
8
(((4 * 8) - 6) + ((7 * 6) + (1 - 6))) =
((32 - 6) + ((7 * 6) + (1 - 6))) = ((8 - (7 + (1 - 6))) = ((8 - (7 + -5)) + (1 + (1 - 6))) = ((8 - 2) + (1 + (1 - 6))) = (8 + (2 + (1 - 6
(32 - 6) = 22 = 14 = 14 = 14 = 14 (32 - 6) = 22 = 14 = 14 (32 + 22) = 54 (22 + 14) = 68 (34 + 68) = 106 (34 - 68) = -42 pharmaceuticals (34 - 68) = -42 -
-55
-103
48
(((4 * 4) + (1 * 4)) + (1 + 6)) =
(16 + (1 * 4)) = (16 + 4) = 20 = 24 = 24 = 24 = 24 = 24 = 24 (16 + 4) = 24 = 28 = 32 4 4 6 8 8 8 8 8 8 8
(16 + (1 * 4)) = (16 + 4) = 20 = 24 4 ((16 + 4) + (1 + 6)) = (24 + (1 + 6)) = (24 + 7) = 31 5 (24 + 7) = 35 7 (24 + 7) = 35 47 (
-46
-69
23
(((3 - 1) - 7) - 2) =
((2 - 7) - 2) = (-5 - 2) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = (7 = 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7
(2 - 7) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 =-5 = -5 = -5 = -5) = (2 - 5) = -
0
-14
14
(((9 + 6) * (9 - 3)) * (1 + (2 * 1))) =
((15 * (9 - 3)) * (1 + (2 * 1))) = ((15 * 6) * (1 + (2 * 1))) = ((15 * 6) * (1 + 2)) = (90 * (1 + 2)) = (90 * 3) = 90 = 90 = 90 = 90 = 90 (90 + 1
(15 * (9 - 3)) = (15 * 6) = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 (9 + (9 - 9)) = (9 * (9 - 9)) = (9 * 26
-2
-76
74
(((2 + 9) - 4) + 7) =
((11 - 4) + 7) = (5 + 7) = 14 + 7 = 21 = 21 = 21 (5 + 7) = 24 = 34 = 34 (10 + 34) = 49 = 49 (10 + 34) = 49 = 49 (10 + 34) = 49 = 49 Follow
(11 - 4) = 5 = 4 = 4 (6 + 7) = 11 = 19 (6 + 7) = 19 (6 + 7) = 13 13 (6 + 7) = 13 19 6 (6 + 7) = 13 13 3 (6 - 7) = -1
-5
-14
9