question
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22
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response_j
stringlengths
11
474
response_k
stringlengths
5
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score_j
float64
-131
0
score_k
float64
-209
-1
magnitude
float64
1
189
(((9 * 7) * 9) - 9) =
(63 * 9) - (63 - 9) = 57 - 6 = 51 = 51 = 51 = 51 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (57 - 6) - (51 - 6) = 51 = 51 = 6 = 6 = 6 = 6) = 51 + (51 + 6) =
(63 * 9) - 63 = 63 = 63 = 63 = 63 = 63 = 0 (63 + 63) - 126 = -18 = -18 = 0 (18 - 126) - 66 = -78 (1895 - 78) + 70 (69 - 68) = 1 1 (18 - 69) = -39
-13
-14
1
(((1 - 9) * (5 - 4)) - ((4 - 7) * (6 * 6))) =
((-8 * (5 - 4)) - ((4 - 7) * (6 * 6))) = ((-8 * 1) - ((4 - 7) * (6 * 6))) = ((-8 * 1) - (-4 * (6 * 6))) = ((-8 * 1) - (-4 * 36)) = (-8 - (-
((-8 * (5 - 4)) - ((4 - 7) * (6 * 6))) = ((-8 * 1) - ((4 - 7) * (6 * 6))) = ((-8 * 1) - (4 * (6 * 6))) = (-8 - (4 * 30)) = (8 - 180
-24
-36
12
(((6 + 8) + (3 - 9)) * 5) =
(14 + (3 - 9)) = (14 + -6) = 8 = 4 = 4 = 4 = 4 = 4 (14 + -6) = 8 = 4 = 4 (8 - 4) = 4 = 4 (8 - 4) = 4 (8 - 4) = 4 ( 8 - 4)
(14 + (3 - 9)) = (14 + -6) = 8 = 6.2 = 4.2 = 4.2 = 4.2
-19
-20
1
(((3 - 7) - (4 - 2)) + 6) =
((-4 - (4 - 2)) + 6) = ((-4 - 2) + 6) = (-6 + 6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
((-4 - (4 - 2)) + 6) = ( (-4 - 2) + 6) = (-6 + 6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
0
-1
1
(((5 * 9) - 9) - 1) =
(45 - 9) = 34 = 35 = 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 = 31 = 31 = 31 (1 - 1) =
(45 - 9) = 34 = 29. 35 (45 - 9) = 30. 21 (45 - 39) = 6 3 (6 - 8) = -2 -2 (9 - 3) = 6 3 (7 - 4) = 3 5 (7 - 4) = 3
-13
-23
10
(((4 + 3) - 4) - ((3 + 4) - 4)) =
(7 - 4) = 3 (3 - 3) = 0 (0 - 0) = 0 0 (0 - 0) = 0 0 G1 = 0 G1 =0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(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 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
-46
-58
12
(((8 - 6) * (5 - 2)) * 4) =
(2 * (5 - 2)) = (2 * 3) = 6 = 12 = 12 = 12 (2 * 3) = 6 = 6 (2 * 3) = 6 (6 = 6) = 6 4 (4 + 3) = 7 7 1 3 (4 + 1) 5
(2 * 4) = 8 * 4 (8 * 4) = 32 (8 * 4) = 64 (32) = 64 (32) = 64 (64) = 64 0 (64) = 64 0 (64) = 64 0 (64) = 64 0 (64 0
-20
-26
6
(((5 - 6) + 5) * ((2 - 5) + 1)) =
((-1 + 5) * ((2 - 5) + 1)) = ((-1 + 5) * (3 + 1)) = (4 * (3 + 1)) = (4 * 4) = 16 = 64 = 64 = 64 = 64 = 64 = 64 = 64 = 64 = 64 = 64 = 64
((-1 + 5) * ((2 - 5) + 1)) = ((-1 + 5) * (-3 + 1)) = (4 * (-3 + 1)) = ((4 * -3) * -2) = (-4 * -2) = 8 = -16 = -16 = -16 = -16 Anti -
-8
-16
8
(((4 + 6) - 2) - 4) =
(10 - 2) = 8 = 8 = 8 = 8 = 8 = 8 (10 - 2) = 8 = 8 = 8 = 8 = 8 1 (8) = 8 = 8 = 8 1 4 8 8 8 8 8 8 8
(10 - 2) = 8 - 8. -4 (8 - 8) = (0 - 8) = -8 = -8 -8 (8 - 8) = (0 - 8) = -8 = -8 - 8 (8 - 8) = 0 (8 + 8) = 20
-13
-21
8
(((9 - 8) + 4) - ((8 + 6) + (3 + 1))) =
((1 + 4) - ((8 + 6) + (3 + 1))) = ((1 + 4) - (14 + (3 + 1))) = (1 - (14 + (3 + 1))) = (1 - (14 + 4)) = (1 - 18) = -17 = -17 = -17 = -17 = -
().(*2 - ((8 + 6) + (3 + 1))) = ((((9 - 8) + (8 + (3 + 1))) = ((((9 - 8) + (3 + 1))) = (*2 - (8 + 3)) = (((9 - 8) + 4)) = (((9 - 8) + 5)
-14
-56
42
(((8 * 4) - (4 * 1)) * ((7 + 7) + (8 + 3))) =
((32 - (4 * 1)) * ((7 + 7) + (8 + 3))) = ((32 - 4) * ((7 + 7) + (8 + 3))) = ((32 - 4) * (14 + (8 + 3))) = ((32 - 4) * (14 + 11)) = (28 + (14 + 11))
((32 - (4 * 1)) * ((7 + 7) + (8 + 3))) = ((32 - 4) * ((7 + 7) + (8 + 3))) = ((32 - 4) * (14 + (8 + 3))) = (32 * (14 + (8 + 3))) = (32 *
-13
-35
22
(((8 * 3) * 3) + 1) =
((24 * 3) + 1) = (72 + 1) = 73. 73 (72 + 1) = 73 73 (72 + 1) = 73 73 (72 + 1) = 73 73 (72 + 1) = 73 73 (72 + 1) = 73 73 (72 -
(24 * 3) = 72 (72 + 24) = 96 (72) = 96 (72) = 96 (72) = 96 (96) = 96 (96) = 96 (96) = 96 (96) = 96 (96) = 96 (96) = 96 (96)
-10
-15
5
(((3 - 7) + 4) * ((9 * 5) * 1)) =
((-4 + 4) * ((9 * 5) * 1)) = ((-4 + 4) * (45 * 1)) = (0 * (45 * 1)) = (0 * 45) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(4 * ((9 * 5) * 1)) = (4 * 45) = 180 = 180 = 180 = 180 = 90 = 90 = 90 = 90 = 90 = 10 = 90 = 90 = 90 = 90 = 50 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 =
0
-43
43
(((9 + 2) + 6) + 3) =
((11 + 6) + 3) = (17 + 3) = 20 = 20 = 20 = 20 = 20 = 20 = 20 = 20 = 20 = 20 (20 - 20) = 0 = 0 0 (20 - 20) = 0 0 (20 + 9) = 0 0 (20 - 20
(11 + 6) = 17 = 24 = 24 = 24 = 24 = 24 = 24 for (7 - 34) = -27 = -27 for (7 - 34) = -27 for (7 - 34) = -27 = -27 for (7 - 34) = -27 for -27 for (7 + -34) = -
0
-13
13
(((2 + 3) + 2) + (1 * 9)) =
(5 + 2) find (7) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (5 + (1 * 9) + (1 * 9)) = (5 + 9) = 10 =
(5 + 2) = 7 + 7 = 14 (5 + 2) = 7 + 7 = 14 9 (7 + 7) = 7 16 (7 + 7) = 14 21 (7 + 7) = 14 21 (7 + 7) = 14 21 (7 + 7) = 14
-28
-31
3
(((6 - 5) - 6) - ((5 + 3) + 1)) =
((1 - 6) - ((5 + 3) + 1)) = ((1 - 6) - (8 + 1)) = (-5 - (8 + 1)) = (-5 - 9) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14
((1 - 6) - ((5 + 3) + 1)) = (1 - (5 + 3) + 1) = (1 - 8) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -
0
-26
26
(((7 - 7) + 4) * ((3 + 6) * 9)) =
(0 * ((3 + 6) * 9)) = (0 * 21) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(0 + 4) = (4) = 4 = 4 = 4 (4) = 4 (4) = 4 (4) = 4 (4) = 4 (4) = 4 0 (4) = 4 0 (4) = 4 0 0 0 0 0 0
-43
-56
13
(((1 - 3) + (3 - 2)) - (5 + 9)) =
((-2 + (3 - 2)) - (5 + 9)) = ((2 + 1) - (5 + 9)) = ((2 + 1) - 14) = (3 - 14) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11
((2 + (3 - 2)) - (5 + 9)) = ((2 + 1) - (5 + 9)) = ((2 + 1) - 14) = (3 - 14) = -13 = -13 = -13 = -13 = -13 = -13 = -13 survive = 9 = -13 = -13 =
-6
-7
1
(((5 * 2) * (6 * 2)) + ((7 - 3) * 7)) =
((10 * (6 * 2)) + ((7 - 3) * 7)) = ((10 * 12) + ((7 - 3) * 7)) = ((10 * 12) + (4 * 7)) = (120 + (4 * 7)) = (120 + 28) = 156 = 212 (120 + 28) = 156 = 212
(10 * (6 * 2)) = (10 * 12) = 120 (2 * 12) = 240 (24) = 240 (24) = 240 (24) = 240 (24) = 240 (24) = 240 (24) = 240 (24) = 240 (24) = 240
-2
-75
73
(((4 - 6) - (6 + 8)) - (1 * 2)) =
((-2 - (6 + 8)) - (1 * 2)) = ((-2 - 14) - (1 * 2)) = ((-2 - 14) - 2) = (-16 - 2) = -18 = -18 (18 - 18) = 0 = 0 0 (1 - 8) = -7 = -7
((-2 - (6 + 8)) - (1 * 2)) = ( ((-2 - 14) - (1 * 2)) - (1 * 2)) = ((-2 - 14) - (1 * 2)) = ((-2 - 14) - 2) = (-16 - 2) = -18 = -18 = -18
-9
-33
24
(((7 + 9) + (4 - 8)) * 5) =
(16 + (4 - 8)) = (16 + -4) = 14 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 0) = (10 = 10) = 10 = 10 = 10 = 10 = 10 = 10
(+3 + (4 - 8)) * 5 (7 + -5) = (2 + 5) = 7 (2 + 7) = 9 (7) = 9 (7) = 9 (9) = 9 (9) = 9 9 (9) = 9 9 (9) = 9
-20
-27
7
(((2 + 4) * 2) * (9 + (1 - 3))) =
((6 * 2) * (9 + (1 - 3))) = ((6 * 2) * (9 + -2)) = (12 * (9 + -2)) = (12 * 7) = 84 = 84 = 84 (12 * 7) = 84 = 84 (84) = 84 (84) = 84 Two
(6 * (2 * (1 - 3))) = (6 * -2) * (9 + (1 - 3))) = (6 * -2) * (9 + -2)) = (6 * -2) * (9 + -2)) = (6 * -2) * (9 + -2)) = 6 * -
0
-56
56
(((2 * 2) - (4 - 1)) - 2) =
((4 - (4 - 1)) - 2) = ((4 - 3) - 2) = (1 - 2) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
(4 - (4 - 1)) = (4 - 3) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
0
-20
20
(((6 + 9) + (6 + 4)) + ((6 - 8) * 3)) =
((15 + (6 + 4)) + ((6 - 8) * 3)) = ((15 + 10) + ((6 - 8) * 3)) = ((15 + 10) + (-2 * 3)) = (25 + (-2 * 3)) = (25 + -6) = 19 bulletin = 19 (19) = 19
(15 + (6 + 4)) = (15 + 10) = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25
0
-79
79
(((9 + 1) * (2 + 1)) + ((6 - 1) * 6)) =
((10 * (2 + 1)) + ((6 - 1) * 6)) = ((10 * 3) + ((6 - 1) * 6)) = ((10 * 3) + (5 * 6)) = (30 + (5 * 6)) = (30 + 30) = 60 = 90 and (30 + 60) = 90
(10 * (2 + 1)) = (10 * 2) = 20 = 20 (20 = 20) = 20 0 (20 = 20) = 20 0 (20 = 20) = 20 0 (20 = 20) = 20 0 (20 = 20) = 20 0 (20 = 20)
0
-80
80
(((1 * 7) * 3) + 8) =
(7 * 3) + 8 = 21 = 21 = 21 = 21 = 42 (7 * 3) + 21 = 54 = 69 (7 * 3) + 22 = 34 (7 * 3) + 22 = 34 (7 * 3) = 22 (7 * 3) = 34 (7 * 3) = 34
(7 * 3) = 21 = 63 = 54 = 54. 39 (7 * 3) = 21 = 27 = 36 9 (7 * 3) = 21 = 27 36 (7 * 3) = 27 27 (7 * 3) = 21 21 (7 * 3) = 27 27 (
-9
-14
5
(((5 * 4) * 7) + ((2 + 5) + 6)) =
((20 * 7) + ((2 + 5) + 6)) = ((20 * 7) + (7 + 6)) = (-140 + (7 + 6)) = (-140 + 13) = -139 = -139 = -139 = -139 = -139 = -139 = -139 = -139 = -139 = -
(20 * 7) = 140 = 140. 80 (20 + 140) = 190 210 (20 + 70) = 110 110 (20 + 170) = 210 230 (20 - 170) = -120 -20 -20 -20 -20 -20 -20 -20
-5
-70
65
(((8 * 4) + (5 - 7)) + ((8 * 4) + 6)) =
((32 + (5 - 7)) + ((8 * 4) + 6)) = ((32 + -2) + ((8 * 4) + 6)) = ((32 + -2) + (32 + 6)) = (30 + (32 + 6)) = (30 + 38) = 58 = 78 (78) =
(32 + (5 - 7)) = (32 + -2) = 30 = 30 (30 + -2) = 302 (30 - 2) = 302 (30 - 2) = 302 (30 - 2) = 302 (30 - 2) = 1902 (30 - 2) = 1902
-1
-81
80
(((8 + 7) + 6) + ((4 + 4) - (5 * 4))) =
((15 + 6) + ((4 + 4) - (5 * 4))) = ((15 + 6) + (8 - (5 * 4))) = ((15 + 6) + (8 - 20)) = (21 + (8 - 20)) = (21 + -12) = 9 = 9 (21 + -12) =
((15 + 6) + ((4 + 4) - (5 * 4))) = ((15 + 6) + (8 - (5 * 4))) = (21 + (8 - 20)) = (21 + (8 - 20)) = (21 + -12) = 9 = 9 (9 + 9) = 24 = 27
0
-7
7
(((1 + 5) * (4 + 5)) - ((2 - 9) - (7 + 5))) =
((6 * (4 + 5)) - ((2 - 9) - (7 + 5))) = ((6 * 9) - ((2 - 9) - (7 + 5))) = ((6 * 9) - (-7 - (7 + 5))) = (54 - (-7 - 8)) = (54 - -15) = 69
(6 * (4 + 5)) = (6 * 9) = 54 = 54 = 54 = 54 (6 * 9) = 54 = 54 = 54 (6 * 9) = 54 = 54 (6 * 9) = 54 (6 * 9) = 54 84 (6 * 9) = 54 54
-27
-115
88
(((3 - 7) + (3 * 7)) - (3 * (1 + 7))) =
((-6 + (3 * 7)) - (3 * (1 + 7))) = ((-6 + 21) - (3 * (1 + 7))) = ((-6 + 21) - (3 * 8)) = (15 - (3 * 8)) = (15 - 24) = -9 = -9 = -9 = -
(-2 + (3 * 7)) = (-2 + 21) = 19 = 19 = 19 (19 - 19) = 1 = 1 (9 - 1) = 10 (10 - 10) = 0 (0 + 10) = 10 10 (0 + 10) = 10 10 (0 + 10)
-7
-85
78
(((4 * 2) * 7) - 2) =
(8 * 7) = 56 = 56 = 56 = 56 (80 - 56) = 32 = 32 = 48 = 64 = 64 (80 - 56) = 32 = 64 = 64 (80 - 56) = 48 = 56 (80 - 56) = 48 = 48 ( 80 - 56) =
(8 * 7) - (8 - 2) = 6 + 4 + 7 = 13 = 13 = 13 = 13 = (8 * 7) - (8 - 2) = 6 + 4 = 14 = 14 = 14 (8 * 7) - (8 - 2) = 6 + 6 = 18 = 18 (
-13
-15
2
(((3 - 1) + (8 * 6)) - ((4 - 4) * 6)) =
((2 + (8 * 6)) - ((4 - 4) * 6)) = ((2 + 48) - ((4 - 4) * 6)) = ((2 + 48) - (0 * 6)) = (50 - (0 * 6)) = (50 - 0) = 50 = 50 = 50 (50 - 0
((2 + (8 * 6)) - ((4 - 4) * 6)) = ((2 + 48) - ((4 - 4) * 6)) = ((2 + 48) - (0 * 6)) = ((2 + 48) - 0) = (50 - 0) = 50 = 50 = 50 = 50 = 50 = 50 = 50 =
0
-9
9
(((9 - 9) * 8) - (2 + (2 + 9))) =
((0 * 8) - (2 + (2 + 9))) = (0 * 8) - (2 + 10) = (0 - (2 + 10)) = (0 - 12) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = - coax reverse
(0 * 8) = (0 * 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0:
-7
-57
50
(((7 * 1) * (8 + 5)) * 2) =
((7 * (8 + 5)) * 2) = (7 * 13) = 91 = 91 = 91 = 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 =
(7 * (8 + 5)) = (7 *13) = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92 = 92
-15
-22
7
(((8 * 1) * 8) - ((5 - 3) - (2 + 9))) =
(8 * 8) - ((5 - 3) - (2 + 9))) = (8 * 8) - (4 - (2 + 9))) = (8 * 8) - (4 - 11)) = (8 * 8) - (4 - 11)) = (8 * 8) - (4 - 11)) = (8 * 8)
(8 * 8) + (5 - (2 + 9))) = (8 * 8) + (5 - 11)) = (24 + (5 - 11)) = (24 + -6) = 18 = 12) = 12) = 12) = 12) = 12) = 12) = 12) = 12) = 12) = 12
-32
-48
16
(((6 - 6) - (2 - 3)) * (8 + 4)) =
((0 - (2 - 3)) * (8 + 4)) = ((0 - -1) * (8 + 4)) = ((0 - -1) * 12) = (1 * 12) = 12 = 12 = 12 = 12 = 12 = 12 (1 * 12) = 12 = 12 = 12 0 (1
((0 - (2 - 3)) * (8 + 4)) = ((0 - -1) * (8 + 4)) = ((0 - -1) * 12) = (1 * 12) = 14 = 14 = 14 = 14 = 5 (1 * 12) = 14 = 14 = 14 = 14 (2 * 12)
0
-1
1
(((7 + 8) * (1 + 3)) * ((9 + 2) + (3 - 7))) =
((15 * (1 + 3)) * ((9 + 2) + (3 - 7))) = ((15 * 4) * ((9 + 2) + (3 - 7))) = (15 * (3 * (9 + 2)) * ((9 + 2) + (3 - 7))) = (15 * (3 * 11) *
(15 * (1 + 3)) = (15 * 4) = 60 = 30 = 30 = 30 (30 = 30) = 30 (30) = 30 (30) = 30 (30) = 30 (30) = 30 (30) = 30 (30) = 20 40 Let n(b
-57
-122
65
(((3 + 8) * 7) + 7) =
((11 * 7) + 7) = (77 + 7) = 90. representing 90 = 94. (74 - 70) = (64 + 4) = 70 = 74 (64 = 70) = 64 (64 = 74) = 74 (64 = 64) = 74 (64 = 74
((11 * 7) + 7) = (77 + 7) = 90. 81 (77 - 7) = 70 66 (77 + 7) = 84 77 (77 + 77) = 284 51 (77 - 77) = 0 0 (77 + 77) = 0 0 (77 -
-6
-11
5
(((3 * 8) - 1) * ((3 + 2) - (5 * 7))) =
(*7 - 1) * ((3 + 2) - (5 * 7))) = (7 * ((3 + 2) - (5 * 7))) = (7 * (5 - (5 * 7))) = (7 * (5 - 35)) = (7 * (5 - 35)) = (7 * (5 - 35)) = (
(24 - 1) = 23. 23 (24 - 1) = 23. 23 (24 - 1) = 23. 23 (24 - 1) = 25. 25 (24 - 1) = 24. 25 (24 - 1) = 25. 25 (24 - 1) = 24
-50
-100
50
(((6 + 1) * 1) - (8 + (5 - 2))) =
((7 * 1) - (8 + (5 - 2))) = ((7 * 1) - (8 + 3)) = (7 - (8 + 3)) = (7 - 11) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 Let w(t) =
((7 * 1) - (8 + (5 - 2))) = ((7 * 1) - (8 + 3)) = (7 - (8 + 3)) = (7 - 11) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
0
-2
2
(((2 * 8) * 6) * 7) =
((32 * 6) * 7) = (96 * 7) = 8464 = 1132 (96 * 7) = 8464 = 1132 (8464 = 1132) = 988 (8464 = 988) = 988 (8464 = 988) = 988 (8464 = 988)
(16 * 6) = 96 (16 * 6) = 96 (16 * 6) = 96 72 (16 * 6) = 96 96 (16 * 6) = 96 96 (16 * 6) = 96 96 (16 * 6) = 96 96 (16 * 6) = 96
-6
-19
13
(((4 * 6) + 9) * 3) =
(24 + 9) = 33 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 (24 + 9) = 452 = 461 = 323 = 401 (24 + 9) = 63 = 66 = 33 (84 + 4) = 64 = 64 (84 + 4) = 64 64
(24 + 9) = 39 = 42 (39) = 39 (39) = 69 (39) = 69 (69) = 69 (39) = 51 (69) = 69 0 (69) = 69 (69) = 69 0 (69) = 69 0 (69) =
-14
-18
4
(((7 * 9) * 3) - ((1 - 7) + (8 + 5))) =
(63 * 3) - ((1 - 7) + (8 + 5))) = (63 * 3) - ((1 - 7) + (8 + 5))) = (63 * 3) - (63 + (8 + 5))) = (63 * 3) - (63 + 13)) = 93 - (63 + 13)) = 93 -
(7 * 3) = 21.3 = 63.3 = 63.3 = 63.3 = 63.3 However, (7 * 3) = 63.3 = 63.3 = 63.3 = 63.3 Overseas travel is, moreover, actually quite simple. If it were not, then why would the foreign
-43
-106
63
(((8 * 9) - (2 * 5)) * 5) =
(72 - (2 * 5)) * 5 = (72 - 10) = 68 = 68 = 98 = 98 (72 - 10) = 68 = 98 = 98 (68 = 98) = 98 (68 = 98) = 98 (68 = 98) = 98 (68 = 98) = 98 (68 = 98)
(72 - (2 * 5)) = (72 - 10) = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 = 62 (72 - 10) = 82 = 42 = 56 = 56 = 56 (82 - 52) = 30 = 24 = 46 (42 -
-18
-21
3
(((1 * 6) * 5) + (1 + 6)) =
((6 * 5) + (1 + 6)) = (30 + (1 + 6)) = (30 + 7) = 37 = 37 = 37 = 37 = 37 (37 - 37) = 1 = 1 = 1 (37 + 1) = 1 = 1 (37 + 1) = 1 (37
(6 * 5) = 60 = 60 = 60 = 60 = 60 = 60 = 60 = 30 = 30 = 30 = 30 Let n = 5 - 6. Let a(t) = 3*t + 4. Let s(b) = b + 1. Let o(c) = -2*a + 9. Let p
-7
-33
26
(((8 - 5) - (3 + 3)) * ((1 + 1) * (6 * 3))) =
((3 - (3 + 3)) * ((1 + 1) * (6 * 3))) = ((3 - 6) * ((1 + 1) * (6 * 3))) = ((3 - 6) * (2 * (6 * 3))) = (3 * (2 * 18)) = (3 * 36) = 108 =
((3 - (3 + 3)) * ((1 + 1) * (6 * 3))) = (~1 * (3 * (6 * 3))) = (~1 * 18) * (6 * 36)) = (8 * (6 * 36)) = (8 * 36) * (6 * 36) = 108 * (6 * 36
-32
-62
30
(((8 + 4) * (3 + 9)) * (6 + (6 - 8))) =
((12 * (3 + 9)) * (6 + (6 - 8))) = ((12 * 12) * (6 + (6 - 8))) = ((12 * 12) * (6 + -2)) = (144 * (6 + -2)) = (144 * 4) = 512 = 24 = 72 = 72 = 72
(12 * (3 + 9)) * (6 + (6 - 8))) = (12 * 12) * (6 + (6 - 8))) = (12 * 12) * (6 + -2) = 24 = 36 = 36 = 36 = 24 = 24 4 = 24 = 8 = 12 = 22 4 = 24 =
-2
-30
28
(((4 * 4) + 6) * (9 + 5)) =
((16 + 6) * (9 + 5)) = ((16 + 6) * 14) = (22 * 14) = 278 = 278 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 = 462 =
((16 + 6) * (9 + 5)) = ((16 + 6) * 9) = (22 * 9) = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162 = 162
-2
-7
5
(((3 * 1) * (4 + 5)) - ((6 * 1) * (5 * 9))) =
((3 * (4 + 5)) - ((6 * 1) * (5 * 9))) = ((3 * 9) - ((6 * 1) * (5 * 9))) = ((3 * 9) - (6 * (5 * 9))) = ((3 * 9) - (6 * 45)) = (27 - (6 * 45
((3 * (4 + 5)) - ((6 * 1) * (5 * 9))) = ((3 * 9) - ((6 * 1) * (5 * 9))) = ((3 * 9) - (6 * (5 * 9))) = (3 - (6 * 9)) = (3 - 54) = -
-20
-34
14
(((8 + 3) * 9) * 5) =
(13 * 9) = 117 = 117 = 36 (13 * 9) = 141 = 141 = 81 (13 * 9) = 141 = 141 = 9 = 54 3 (13*q) = 73 + 73 = 194 29 (17 * 9) = 63 = 63 9 (17 * 9) = 63
(15 * 9) = 90 = 90. 30 (9 + 2) = 11. 13 (9 + 11) = 28 38 (9 + 11) = 26 35 ((4 + 10) * 5) = 19 19 (9 * 5) + (5) 35 (9 * 5)
-18
-24
6
(((8 + 1) + (7 + 4)) - 9) =
((9 + (7 + 4)) - 9) = ((9 + 11) - 9) = (20 - 9) = 7 = 3 = 3 = 3 = 3 (70 - 9) = 53 = 47 = 42 (70 - 69) = 7 = 7 (70 - 9) = 7 (70
(9 + (7 + 4)) = (9 + 11) = 20 = 31 = 31 (31) = 31 = 31 (31) = 31 (31) = 31 (31) = 31 (31) = 31 (31) = 31 (31) = 31 (31) = 31 (
-2
-19
17
(((3 + 7) + 2) * 1) =
(10 + 1) = (11 + 1) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = (11 + 1) = 12 = 12 = 12 = 12 = 12) = (11 + 1) = 12 = 12 = 12) = 12
(10 + 2) = 12 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = (14 = 14) = 14 = 14) = 14 = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14) = 14)
-8
-13
5
(((9 - 5) * (7 * 3)) - ((9 + 5) - 1)) =
((4 * (7 * 3)) - ((9 + 5) - 1)) = ((4 * 21) - ((9 - 5) - 1)) = ((4 * 21) - (4 - 1)) = (84 - (4 - 1)) = (84 - 3) = 81 = 78 = 78 = 78 = 78 = 78
(4 * (7 * 3)) - ((9 + 5) - 1)) = (4 * 21) - ((9 + 5) - 1) = (4 * 21) - (42 - 1) = 41 - 41 = 0 (41 * (51 - 1)) - ((41 - 1) - (42 - 1)) =
-5
-52
47
(((7 + 1) * (1 * 1)) - 2) =
((8 * (1 * 1)) - 2) = ((8 * 1) - 2) = (8 - 2) = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.4 = 6.
((8 * (1 * 1)) - 2) = ((8 * 1) - 2) = (8 - 2) = 6 (6) = 6 (6) = 6.2 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 12 = 12 = 12 = 12 (12 - 12) = 0 =
-1
-4
3
(((1 - 8) + (7 * 4)) - ((9 * 6) + (4 * 8))) =
((-7 + (7 * 4)) - ((9 * 6) + (4 * 8))) = ((-7 + 28) - ((9 * 6) + (4 * 8))) = ((-7 + 28) - ((9 * 6) + (4 * 8))) = ((-7 + 28) - (54 + (4 * 8
((1 + (7 * 4)) - ((9 * 6) + (4 * 8))) = (1 + (28 + (4 * 8)) - ((9 * 6) + (4 * 8))) = (1 + (28 + 32)) = (1 + 56) = 57 = 57 (1 + 57) = 57 (1
-44
-77
33
(((8 + 2) + (5 * 9)) - ((4 - 1) - (2 * 8))) =
((14 + (5 * 9)) - ((4 - 1) - (2 * 8))) = ((14 + 45) - ((4 - 1) - (2 * 8))) = ((14 + 45) - (4 - (2 * 8))) = ((14 + 45) - (4 - 16)) = (59 - (4 - 16
(10 + (5 * 9)) = (10 + 45) = 55 = 55 = 55 = 5 = 5 = 5 = 5 (5 + 55) = 60 = 60 = 5 = 5 (5 + 45) = 60 = 60 = 5 = 5 5 (5 + 45) = 60 = 60 = 0 5 (
-22
-119
97
(((2 * 7) + (3 + 4)) * (3 - (9 * 1))) =
(14 + (3 + 4)) = (14 + 7) = 21 = 28 = 28 = 28 = 28 = 28 Against Lam shading (1 + 3) = (14 + 21) = 29 = 49 (21 + 18) = 69 (21 + 18) = 69 | (21 - 18) = 9 3 (
(14 + (3 + 4)) = (14 + 7) = 21 = 28 = 28 (21 + 14) = 35 (21 + 14) = 47 (21 + 14) = 51 (21 + 7) (21 + 7) (7 - 7) = 0 0 (7 - 7) = 0
-82
-93
11
(((6 - 4) + 3) - (4 * 5)) =
((2 + 3) - (4 * 5)) = (5 - (4 * 5)) = (5 - 20) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15
(2 + 3) = 5 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = 4 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = 4 = 7 = 7 = 7 = 7 = 7) = 4 = 7 = 7
-8
-40
32
(((3 * 1) * (8 + 5)) - 4) =
((3 * (8 + 5)) - 4) = ((3 * 13) - 4) = (39 - 4) = 35 = 35 = 5 = 35 = 5 If 7 = 5, 6 = 7, the biggest difference is 7. 7 (7 + 6) = 13 (7 + 6) = 19 13
(3 * (8 + 5)) = (3 * 13) = 39 = 39 (3 * 13) = -39 = -39 (39) = 39 c = 39 13 2 4 5 4 3 4 3 3 3
0
-27
27
(((5 + 6) * 6) - ((6 + 9) + (1 - 2))) =
(( 11 * 6) - ((6 + 9) + (1 - 2))) = (66 - (( 6 + 9) + (1 - 2))) = (66 - (15 + (1 - 2))) = (66 - (15 + -1)) = (66 - 14) = 50 = 42 - 82 (50 - 82) = -
(11 * 6) = 66 = 66 every 6 times at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times 6.5 at 6.5 times
-25
-135
110
(((4 + 8) * 6) - 8) =
((16 * 6) - 8) = (96 - 8) = 84 = 76 = 76 = 76 = 76 = 76 B [6 - 4] = (2 - 9) = -7 = -7 B B B B B B B B
(12 * 6) = 72 (72 - 8) = 80 (80 - 8) = 72 = 72 = 72 = 72 (72 - 80) = -8 = -8 8 = -8 0
-4
-20
16
(((2 - 4) - 5) + 2) =
((-2 - 5) + 2) = (-7 + 2) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = (495 + 2) = 491 =
((2 - 5) + 2) = (-3 + 2) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = -1 = -1 = -1 = -
0
-4
4
(((3 + 2) + 8) * 2) =
(5 + 8) = 13 = 23 = 23 = 23 = 23 = 23 = 23 = 23 = 23 (5 + 8) = 23 = 23 = 23 = 23 (7 + 23) = 26 = 26 = 26 (7 + 23) = 26 = 26 (7 + 23) = 26 (
((5 + 8) * 2) = (13 * 2) = 26 + 26. 26 (13 * 2) = 26 = 26. 26 (13 * 2) = 26. 26 (13 + 26) = 39 53 (13 * 2) = 26 26 (13 * 2) = 26
-13
-15
2
(((2 + 8) - (8 * 8)) - 9) =
((10 - (8 * 8)) - 9) = ((10 - 64) - 9) = (-54 - 9) = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57 = -57) = -57 =
(10 - (8 * 8)) = (10 - 64) = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -54 = -
-4
-22
18
(((2 - 2) - (5 + 4)) + 8) =
(0 - (5 + 4)) = (0 - 9) = -9 = -9 = -9 = -9 = -9 (0 + 9) = (9 = -9) = 0 = 0 = 0 = 0 = 0 = 0 (0 + 9) = 9 = 9 = 9 = 9 1 (0
(0 - (5 + 4)) = (0 - 9) = -7 = -7 = -7 = -7 = -7 (7 - 7) = 0 = 0 = 0 = 0 (7 + 9) = (14) = 21 (7 + 9) = 28 (28 + 9) = 41 (
-20
-21
1
(((4 + 3) - 2) + 7) =
((7 - 2) + 7) = (5 + 7) = 12 (5 + 7) = 18 (6 - 18) = -12 (6 - 6) = 0 0 (6 - 18) = -12 18 (6 - 18) = -12 -6 (6 - 18) =
(7 - 2) = 5 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3.2 = 3
-7
-13
6
(((3 * 9) + (2 * 2)) + ((9 * 6) - (9 + 6))) =
((27 + (2 * 2)) + ((9 * 6) - (9 + 6))) = ((27 + 2) + ((9 * 6) - (9 + 6))) = ((27 + 2) + (54 - (9 + 6))) = ((27 + 2) + (54 - 15)) = (29 + (54 - 15
((27 + (2 * 2)) + ((9 * 6) - (9 + 6))) = ((27 + 4) + ((9 * 6) - (9 + 6))) = (27 + ((9 * 6) - (9 + 6))) = (27 + (9 - (9 + 6))) = (27 + (9 - 15
-18
-34
16
(((6 + 2) * 1) - (8 * 1)) =
((8 * 1) - (8 * 1)) = ((8 * 1) - 8) = (8 - 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(8 * 1) - (8 * 1) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8) = 8 = 8 = 8
-7
-21
14
(((7 + 3) * 8) + (4 + 1)) =
((11 * 8) + (4 + 1)) = ((11 * 8) + 5) = (88 + 5) = 87 = 87 = 87 = 87 = 87 = 87 (87 + 87) = 174 = 174 = 174 = 87 (87 + 87) = 174 = 174 (87 + 87) = 174
(10 * 8) = 80 = 80 That means 80 = 80 20 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80
-4
-68
64
(((6 + 9) + (8 - 4)) - ((5 - 1) + (2 * 9))) =
((15 + (8 - 4)) - ((5 - 1) + (2 * 9))) = ((15 + 4) - ((5 - 1) + (2 * 9))) = ((15 + 4) - (4 + (2 * 9))) = ((15 + 4) - (4 + 18)) = (19 - (4 + 18
(15 + (8 - 4)) = (15 + 4) = 19 = 20 = 20 = 20 (15 + 4) = 19 = 21 (20 + 19) = 21 (21 + 19) = 41 (41 + 46) = 77 (77 - 77) = 0 0
-15
-127
112
(((7 - 7) - (3 - 3)) * 9) =
(0 - (3 - 3)) = ((0 - 0) * 9) = (0 * 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 - (3 - 3)) = (0 - 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0
-6
-18
12
(((4 + 8) * 5) * 1) =
(12 * 5) = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8 = 60.8
(12 * 5) = 60 = 60. 30 (6 + 9) = 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be 9 should be
-13
-22
9
(((6 + 6) - 4) * (4 - (4 + 3))) =
((12 - 4) * (4 - (4 + 3))) = ((12 - 4) * (4 - 7)) = (8 * (4 - 7)) = (8 * -3) = -24 = -24 = -24 = -24
((12 - 4) * (4 - (4 + 3))) = ((12 - 4) * 7) = (8 * 7) = 56 = 56 = 56 = 56 5 = 56 = 56 6 = 56 7 = 56 8 = 56 8 = 56 8 = 56 8 =
0
-26
26
(((6 * 8) + (9 * 1)) - 9) =
((48 + (9 * 1)) - 9) = ((48 + 9) - 9) = (63 - 9) = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54
(48 + (9 * 1)) = (48 + 9) = 57 = 60 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 =
-4
-20
16
(((3 * 4) + 5) * 5) =
(12 + 5) = 17 = 21 = 21 (17 * 21) = 51 = 51 51 (17 * 21) = 47 77 (17 * 21) = 47 77 (17 * 21) = 47 77 (7 * 21) = 47 77 (7 * 21) = 47 77
(12 + 5) = 17 = 22 (17 + 17) = 31 (17 = 31) = 46 (17 = 41) = 42 (41) = 46 (41) = 46 (46) = 46 (46) = 46 (46) = 46 (46) = 46 0 (46
-14
-23
9
(((6 - 4) * (8 - 5)) - ((4 - 2) + (6 * 7))) =
((2 * (8 - 5)) - ((4 - 2) + (6 * 7))) = ((2 * 3) - ((4 - 2) + (6 * 7))) = ((2 * 3) - (2 + (6 * 7))) = (6 - (2 + 42)) = (6 - 44) = -
((2 * (8 - 5)) - ((4 - 2) + (6 * 7))) = ((2 * 3) - ((4 - 2) + (6 * 7))) = ((2 * 3) - (2 + (6 * 7))) = (6 - (2 + (6 * 7))) = (6 - 42
-27
-31
4
(((6 + 8) * 7) * (1 + 3)) =
((14 * 7) * (1 + 3)) = ((14 * 7) * 4) = (112 * 4) = 448 = 896 = 896 (112 * 4) = 448 = 448 088 (112 * 4) = 448 88 (112 * 4) = 448 88 8 (28 + 8
(14 * (1 + 3)) = (14 * 4) = 56 = 56 = 56 0 (14 * 4) = 56 = 64 128 (14 * 4) = 56 56 (14 * 4) = 56 64 (14 * 4) = 56 56 (14 * 4) = 56
-6
-23
17
(((6 + 7) * 8) * 3) =
(13 * 8) = 64 (32) = 96 (32) = 96) = 96:96 = 168 = 288 = 484 = 128 = 128 = 128 = 128 (168 + 168) = 336 = 336 = 168 (336 + 168) = 504 (84 + 168) = 504 48 84
(13 * 8) = 76 (66 * 8) = 52 (66 * 8) = 52 24 24 0 24 0 2 2 2 3 3 3 3 3 3 3 3
-18
-22
4
(((9 * 1) + (4 * 9)) - ((4 + 5) - 8)) =
((9 + (4 * 9)) - ((4 + 5) - 8)) = ((9 + 36) - ((4 + 5) - 8)) = ((9 + 36) - (9 - 8)) = (45 - (9 - 8)) = (45 - 1) = 44 = 44 (44 + 1) = 45 (
(9 + (4 + 9)) = (9 + 13) = 22 = 22 = 22 = 2 (2 + 2) = 4 (2 + 2) = 6 (2 + 4) = 6 2 (2 + 4) = 6 8 (2 + 4) = 6 8 (2 + 4
0
-89
89
(((5 + 4) + 6) * 4) =
(9 + 6) = 21 = 30 = 30 = 30 = 30 = 30 = 30 = 30 (9 + 6) = 45 = 51 = 99 (9 + 6) = 21 (9 + 6) = 33 (9 + 6) = 33 (9 + 6) = 33 (33
(9 + 6) = 15 comp. Let n(c) = -2*c + 7. Let o(h) = 2. Let y(d) = -7. Let f(a) = 7. Let b(x) = -7. Let s(t) = -4. Remember 7. With 7. When 7
-14
-20
6
(((4 - 1) + 8) + 3) =
(3 + 8) = 11 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (3 + 8) = (5 + 3) = 8 = 13 = 13 (3 + 5) = 8 = 13 (3 + 8) = 13 = 19 (3 - 13) = -8
(3 + 3) = 6 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = 0 = 9 = 9 = 9) = 0 = 9 = 9) = 0 = 9) = 0 = 9) = 0 = 9) = 0 = 9) = 0 = 9) = 0
-13
-16
3
(((3 + 7) * (5 + 1)) + ((3 + 6) + 1)) =
((10 * (5 + 1)) + ((3 + 6) + 1)) = ((10 * 6) + ((3 + 6) + 1)) = (10 + ((3 + 6) + 1)) = (10 + 9) = 19 = 28 = 28 = 28 = 28 (19 + 21) = 43 = 63
(10 * (5 + 1)) = (10 * 6) = 60 = 60 = 60 (10 * 6) = 60 = 30 = 30 10 = 90 (10 + 90) = 95 (90 + 95) = 315 65 (10 + 95) = 125 160 (10 * 6) = 60 60
-24
-74
50
(((3 - 5) - (4 + 5)) * 7) =
((-2 - (4 + 5)) * 7) = ((-2 - 9) * 7) = (-11 * 7) = -77 = -77 = -77 = -77 = -77 = -77 = -77 (77 - 77) = 0 = 0 = 0 (77 = 0) = 0 (77 = 0
(2 - (4 + 5)) = (2 - 9) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 (2 - 9) = -7 = -7 = -7 = -7 (2 - 7) = -7 = -
0
-23
23
(((3 - 1) * (7 + 8)) * ((5 - 7) + (4 - 4))) =
((2 * (7 + 8)) * ((5 - 7) + (4 - 4))) = ((2 * 15) * ((5 - 7) + (4 - 4))) = ((2 * 15) * (-2 + (4 - 4))) = ((2 * 15) * (-2 + 0)) = (30 * (-
((2 * (7 + 8)) * ((5 - 7) + (4 - 4))) = ((2 * 15) * ((5 - 7) + (4 - 4))) = ((2 * 15) * (2 + (4 - 4))) = (2 * (2 + (4 - 4))) = (2 * 2
-22
-36
14
(((5 + 5) - 4) - 2) =
(10 - 4) = 6 American Express (8) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = ((8 - 4) - 2) = (4 - 2) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (4 - 2) = 2 =
(10 - 2) = 8 (8 - 2) = 6 (8 - 6) = 2 (2 - 2) = 0 (2 - 2) = 0 0 (2 - 6) = -4 -6 (-4 - 6) = -10 - 14 (2 - 6) = -6
-11
-16
5
(((7 * 6) - (7 - 1)) - ((1 + 4) - (1 - 9))) =
((42 - (7 - 1)) - ((1 + 4) - (1 - 9))) = ((42 - 6) - ((1 + 4) - (1 - 9))) = ((42 - 6) - (5 - (1 - 9))) = ((42 - 6) - (5 - -8)) = (36 - (5 - -
((42 - (7 - 1)) - ((1 + 4) - (1 - 9))) = ((42 - 6) - ((1 + 4) - (1 - 9))) = ((42 - 6) - (5 - (1 - 9))) = (36 - (5 - (1 - 9))) = (36 - (
-14
-27
13
(((8 + 9) + 4) - (9 * (8 - 4))) =
((17 + 4) - (9 * (8 - 4))) = ((17 + 4) - (9 * 4)) = ((17 + 4) - 64) = (23 - 64) = -41 = -41 = -41 =31 = -41 = 31 = 31 = 31 = 31 = 31 =
(19 - (9 * (8 - 4))) = (19 - 4) = 15 = 11 = 6 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = 5 = 5 = 5 = 5 = 5 = 5 = 5 =
-15
-46
31
(((9 + 3) - 2) + (9 - 4)) =
((12 - 2) + (9 - 4)) = ((12 - 2) + 5) = (10 + 5) = 15: 25 = 35 = 35 (10 + 5) = 25 = 35 (10 + 5) = 25 = 35 (5 - 35) = -30 -30 (10 - 5) =
(12 - 2) = 10 = 8 = 8 = 8 = 8 (10 + 8) = 18 = 26 = 34 (18 + 18) = 54 (18 + 18) = 54 (54 + 74) = 170 (170 - 170) = 0 0 (0) = 0
-3
-35
32
(((6 + 3) + 2) * ((1 - 7) - (7 * 5))) =
((9 + 2) * ((1 - 7) - (7 * 5))) = ((9 + 2) * (-6 - (7 * 5))) = ((9 + 2) * (-6 - 35)) = (11 * (-6 - 35)) = (11 * -49) = -49 = -49 = -49 = -.
((9 + 2) * ((1 - 7) - (7 * 5))) = (11 * ((1 - 7) - (7 * 5))) = (11 * (-6 - (7 * 5))) = (11 * 35) = 355 = 585 = 585 = 95 = 95 = 95 = 95 = 95 = 95
-5
-45
40
(((3 + 7) * (9 + 3)) + ((5 - 2) - 7)) =
((10 * (9 + 3)) + ((5 - 2) - 7)) = (10 * 12) + ((5 - 2) - 7) = (10 * 12) + (5 - 7) = (10 * 12) + (5 - 7)) = (10 * 12) = 120 In other words, his team always wins
((10 * (9 + 3)) + ((5 - 2) - 7)) = ((10 * 12) + ((5 - 2) - 7)) = (10 + ((5 - 2) - 7)) = (10 + 3) = 13 score = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13
-18
-26
8
(((4 * 8) - (1 - 9)) - 7) =
((32 - (1 - 9)) - 7) = ((32 - -8) - 7) = (44 - 7) = 37 = 25 = 12 = 12 ((32 - -8) - 7) = (44 - 7) = 31 = 22 ((32 - 7) - 7) = (33 - 7) = 20 (
(32 - (1 - 9)) = (32 - -8) = 40 = 56 = 56 = 56 = 56 (32 - -8) = 60 = 64 = 64 = 64 (32 - -8) = 64 = 72 8 = 72 8 = 72 0 = 72 0 = 72
-2
-20
18
(((1 - 4) - (2 + 3)) * ((5 + 1) - 8)) =
((-3 - (2 + 3)) * ((5 + 1) - 8)) = ((-3 - 5) * ((5 + 1) - 8)) = ((-3 - 5) * (6 - 8)) = (-8 * (6 - 8)) = (-8 * -2) = 16 = 16. -
((-1 - (2 + 3)) * ((5 + 1) - 8)) = (1 - (5 - 7)) = (1 - -2) = 3 = 3 = 3 = 3 = 3 = 3 = 3 (1 - -2) = 3 = 3 = 3 = 3 = 3 = 3 (1 - -
0
-55
55
(((6 * 9) * (3 - 7)) + 5) =
(54 * (3 - 7)) + 5 = (54 * -4) = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -216 = -
(36 * (3 - 7)) + 5 = (36 * -4) = -144 = -144 = -144 = -144 ((36 * -4) + 5) = -144 = -144 = -144 (36 + 5) = 69 + 64 = 139 91 (36 + 5) = 89 95
-16
-26
10
(((6 - 5) - (6 + 7)) + ((1 + 5) * (9 * 2))) =
((1 - (6 + 7)) + ((1 + 5) * (9 * 2))) = ((1 - 13) + ((1 + 5) * (9 * 2))) = ((1 - 13) + (6 * (9 * 2))) = ((1 - 13) + (6 * 18)) = (12 + (
((1 - (6 + 7)) + ((1 + 5) * (9 * 2))) = ((1 - 13) + ((1 + 5) * (9 * 2))) = (12 + ((1 + 5) * (9 * 2))) = (12 + (5 * (9 * 2))) = (12 + (
-22
-40
18
(((3 + 5) - 9) * ((5 * 3) - 5)) =
(8 * (9 - 9)) = (8 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 2. 4
(8 - 9) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = -1 = -1 = -1 = -1 =
-55
-58
3
(((9 + 6) - 1) + ((4 - 1) - 6)) =
((15 - 1) + ((4 - 1) - 6)) = (15 + ((4 - 1) - 6)) = (15 + 3) = 18 = 21 = 21 = 21 = 21 = 21 (18 - 3) = 15 = 21 = 21 (18 - 3) = 15 = 21 (18 -
(15 - 1) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = (
-24
-57
33
(((2 + 4) + 4) * 2) =
(6 + 2) = (8 + 2) = 10 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = (8 + 2) = 14 = 14 = 14 (10 + 14) = 26 = 38 (10 + 14) = 26 (26) = 34 (26) = 34 (26)
(6 + 4) = 10 (10) = 10 (10) = 10 0 (10) = 10 0 0 (10) = 10 0 (10) = 10 0 (10) = 10 0 (10) = 10 0 (10) = 10 0 0
-10
-16
6
(((6 - 7) * 1) + (3 * (1 - 3))) =
((1 * 1) + (3 * (1 - 3))) = ((1 * 1) + (3 * -2)) = (0 + (3 * -2)) = (0 + -6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 =
(1 + (3 * (1 - 3))) = (1 + (3 * -2)) = (1 + -6) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = = = = = = = =
-8
-32
24
(((8 - 6) + 3) + ((7 - 5) + 6)) =
((2 + 3) + ((7 - 5) + 6)) = (5 + ((7 - 5) + 6)) = (5 + (2 + 6)) = (5 + 8) = 13 = 19 = 19 = 19 (5 + 8) = 13 = 19 = 19 9 9 17
((2 + 3) + ((7 - 5) + 6)) = (5 + ((7 - 5) + 4)) = (5 + (2 + 4) + 6) = (5 + 7) = 12 = 17 = 17 (17) = 17 (17) = 17 (47) = 17 (47) = 17
-8
-16
8