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
(((7 * 1) + (4 * 3)) * ((1 - 4) - 6)) =
((7 * 1) * ((1 - 4) - 6)) = ((7 * 1) * (-3 - 6)) = (7 * (-3 - 6)) = (7 * -9) = -63 = -63 = -63 = -63 = 63 = 63 = 0 = 63 Cardinal = 65 = 73 (
(7 + (4 + 3)) = (7 + 7) = 14 = 21 = 21 (14 + 7) = 25 = 34 (14 + 21) = 35 (14) = 35 (14) = 35 (14) = 35 (14) = 35 predicting (14) = 35 (14)
-45
-92
47
(((4 - 2) - (5 - 9)) - ((2 * 5) + (8 + 6))) =
((2 - (5 - 9)) - ((2 * 5) + (8 + 6))) = ((2 - -4) - ((2 * 5) + (8 + 6))) = ((2 - -4) - (10 + (8 + 6))) = ((2 - -4) - (10 + 14)) = (6 -
((2 - (5 - 9)) - ((2 * 5) + (8 + 6))) = ((2 - -2) - ((2 * 5) + (8 + 6))) = ((2 - -2) - (10 + (8 + 6))) = ((2 - -2) - (10 + 14)) = (4 - (
-25
-27
2
(((1 - 1) + 4) - (1 + 9)) =
(0 + (1 + 9)) = (0 + 10) = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 (1 + 4) = (1 + 4) = (1 + 4) =
(0 + 4) = (4 + (1 + 9)) = (4 + 10) = 14 = 18 = 18 (14 + 14) = 28 = 34 = 14 (28 + 14) = 42 (42 - 54) = 6 -6 (14 - 34) = -15 -19 (14 + -
-22
-24
2
(((3 + 6) * 9) - (8 - (8 * 7))) =
(9 * 9) - (9 - (8 * 7))) = (9 * 9) - (9 - (8 * 7))) = (9 * 9) - (9 - 56)) = 81 - (9 - 56)) = 81 - 45) = 68 - 39) = 29) = 29) = 29) = 29) = 29)
(9 - (8 * 7)) = (9 - 56) = -49 = -49 = -49 = -49 (9 - 56) = -49 = -49 (-49 = -49) = -49 (49 - 49) = 0 = 0 = 0 0 = 0 = 0 0
-33
-48
15
(((6 * 5) - (4 + 8)) - 6) =
((30 - (4 + 8)) - 6) = ((30 - 12) - 6) = (18 - 6) = 12 = 12 = 12 = 12
(30 - (4 + 8)) = (30 - 12) = 18 = 12 = 18 = 18 ((6 - (4 + 8)) - 6) = (30 - 12) = 12 = 18 (30 - 12) = 18 (12 - 18) = -6 -6 6
0
-18
18
(((1 + 5) + (2 * 8)) + 6) =
((6 + (2 * 8)) + 6) = ((6 + 16) + 6) = (22 + 6) = 34 = 46 (22 + 6) = 50 = 58 (22 + 6) = 58 (22 + 6) (26 + 6) (26 + 6) (
(6 + (2 * 8)) = (6 + 16) = 22 = 28 = 28 = 28 = 28 (6 + 22) = 28 = 34 = 34 (6 + 26) = 34 (6 + 34) = 38 (36) = 38 (38) = 38 (38) = 68 (38
-2
-18
16
(((9 * 2) + (6 + 9)) - (3 - (4 - 6))) =
((18 + (6 + 9)) - (3 - (4 - 6))) = ((18 + 15) - (3 - (4 - 6))) = ((18 + 15) - (3 - -2)) = (27 - (3 - -2)) = (27 - 5) = 22 = 19 = 19 (22) + 90 =
(18 + (6 + 9)) - (3 - (4 - 6))) = (18 + 15) = 33 = 49 = 54 = 54 = 54 = 54 (54 - 2) = 52 = 54 = 54 (54 - 2) = 52 = 54 2 1 - (6 - 6) 1 (54 -
-5
-64
59
(((8 - 5) * (6 - 3)) + (6 * 2)) =
((3 * (6 - 3)) + (6 * 2)) = ((3 * 3) + (6 * 2)) = (9 + (6 * 2)) = (9 + 12) = 21 = 27 = 27 (21 + 27) = 36 = 57 (21 + 27) = 57 (21
(3 * (6 - 3)) + (6 * 2) = ((3 * 3) + (6 * 2)) = (3 * 6) + 12 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 =
-8
-14
6
(((5 * 3) - 4) - 2) =
(15 - 4) = 11 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 (5 - 4) = 1 = 1 = 1 (1 - 1) = 1 (1 - 1) = 0. 0 (1 - 1) = 0 0 (1 - 1) = 0.
(15 - 4) = 9 = 6 = 9 = 9 = 9 (9 - 9) = 0 (0 - 9) = -9 -9 (0 - 9) = -9 -9 (0 - 9) = -9 -9 -3 (0 - 9) = -9 -9
-12
-15
3
(((5 - 1) * (1 + 7)) + (4 * 4)) =
((4 * (1 + 7)) + (4 * 4)) = ((4 * 8) + (4 * 4)) = (8 + (4 * 4)) = (8 + 16) = 24 = 32 = 32 (24 = 32) = 32 (32) = 32 (32) = 32 8 ((3 *
((4 * (1 + 7)) + (4 * 4)) = (4 * (7 + (4 * 4))) = (4 * (7 + 16)) = (4 * 22) = 88 = 88 = 88 (4 * 22) = 88 = 88 (4 * 22) = 88 = 88 0 (4 * 22
-12
-14
2
(((5 - 7) - (3 + 9)) - 5) =
((-2 - (3 + 9)) - 5) = ((-2 - 12) - 5) = (-14 - 5) = -19 = -19 = -19 = -19. - 19 = -19
((-2 - (3 + 9)) - 5) = ((-2 - 14) - 5) = (-16 - 5) = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21 = -21) = -21
0
-6
6
(((9 + 9) + (4 * 3)) - ((7 + 3) * (2 * 8))) =
((18 + (4 * 3)) - ((7 + 3) * (2 * 8))) = ((18 + 12) - ((7 + 3) * (2 * 8))) = (18 - (7 * (2 * 8))) = (18 - (7 * 16)) = (18 - 28) = -6 = -6 = -
(18 + (4 * 3)) = (18 - 12) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 + 6 = -12 = -12 = -6 = -6 = -6 = 6 = -2 = -2 = -6 = -6 = 6 +
-43
-131
88
(((5 * 4) - 4) - 2) =
(20 - 4) = 16 = 12 = 12 = 12 (12 - 4) = 8 = 8 8 (12 - 8) = 8 4 (12 - 8) = 4 4 (8 + 4) = 12 24 (8 + 4) 12 (8 + 2) 10 (8
(20 - 2) = 18 = 18 = 18 = 18 = 18 = 18 9 = 18 = 18 1 = 18 1 = 18 1 = 18 1 = 18 1 = 17 1 = 17 1 = 17 1 = 17 1 = 17 1 = 17
-13
-14
1
(((1 + 2) * 5) - ((5 - 9) + 5)) =
((2 * 5) - ((5 - 9) + 5)) = ((2 * 5) - (4 + 5)) = (10 - (4 + 5)) = (10 - 9) = 1 = 1 = 1 = 1 = 1 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
(3 * 5) - ((5 - 9) + 5) = (3 * 5) - (5 + 5) = 10 - 10) = 10 - 10 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
-8
-21
13
(((8 - 5) * (4 + 4)) - ((9 - 2) + (3 - 3))) =
((3 * (4 + 4)) - ((9 - 2) + (3 - 3))) = ((3 * 6) - ((9 - 2) + (3 - 3))) = ((3 * 6) - (9 + (3 - 3))) = ((3 * 6) - (9 + 0) + (2 - 1))) = ((
((3 * (4 + 4)) - ((9 - 2) + (3 - 3))) = (3 * 8) = 24 = 24 = 24 = 24 = 24 = 24 0 = 24 = 24 1 = 25 1 = 26 1 = 26 1 = 26 1 = 26 1 = 26 1 = 26
-38
-88
50
(((3 * 3) - (2 * 3)) + (2 + 4)) =
((9 - (2 * 3)) + (2 + 4)) = ((9 - 6) + (2 + 4)) = ((9 - 6) + 6) = (3 + 6) = 9 = 12 = 12 (3 + 6) = 9 (3 + 6) = 9 9 (3 + 6) = 9
(9 - (2 * 3)) + (2 + 4) = ((9 - 6) + (2 + 4)) = (9 + 6) = 15 = 21 = 21 = 21 (9 + 6) = 27 = 30 = 27 1 2 2 2 1 1
0
-17
17
(((6 + 1) - (1 - 5)) - (5 * (7 - 1))) =
((7 - (1 - 5)) - (5 * (7 - 1))) = ((7 - -4) - (5 * (7 - 1))) = ((7 - -4) - (5 * 6)) = (11 - (5 * 6)) = (11 - 30) = -23 = -23 = -23 = 0
(7 - (1 - 5)) - (5 * (7 - 1))) = (7 - -4) = 11 = 15 = 11 = 11 = 11 = 11 = 11 = 11 (11 - -4) = 15 = 19 (11 + -7) = 18 (11 + -9) = 4 2
-4
-62
58
(((8 * 2) + (6 + 8)) * (7 * 5)) =
(16 + (6 + 8)) = (16 + 14) = 30 = 30 = 30 (16 + 14) = 56 = 66 (66 + 66) = 138 (66 + 66) = 138 (66 + 68) = 214 (14 - 42) = -26 -22 -26 = -22 -
(16 + (6 + 8)) = (16 + 14) = 30 = 44 = 44 (16 + 14) = 60 = 74 (16 + 14) = 74 (24 + 64) = 104 (64 + 74) = 184 (4 + 66) = 70 (70 + 68
-56
-58
2
(((6 * 9) * (5 * 2)) - 7) =
((54 * (5 * 2)) - 7) = ((54 * 10) - 7) = (540 - 7) = 53 = 49 = 49 (540 + 7) = 543 = 654 = 654 (540 + 6) = 654 = 654 (54 + 6) = 654 = 6
((54 * (5 * 2)) - 7) = ((54 * 10) - 7) = (54 - 7) = 47 = 47 = 47 (47) = 47 (47) = 47 (47) = 47 (47) = 47 (47) = 47 (47) = 47 (47) =
-1
-4
3
(((8 + 7) * 8) + 3) =
(15 * 8) + (8 + 3) = (80 + 3) = 83 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81
(15 * 8) = 60 = 60 = 60
-10
-17
7
(((3 * 9) * (2 + 6)) * (6 + (8 * 7))) =
(27 * (2 + 6)) * (6 + (8 * 7))) = (27 * 8) * (6 + (8 * 7))) = (27 * 8) * (6 + 56)) = (27 * 8) * (6) = 72 = 72 = 72 = 72 The first American revolution took place in
(27 * (2 + 6)) = (27 * 8) = 84 = 96 = 96 = 96 (84 = 96) = 99 = 99 (84) = 99 (84) = 99 (84) = 99 (99) = 99 (99) = 99 (99) = 99 (99) =
-23
-85
62
(((1 * 7) - 1) - 1) =
((7 - 1) - 1) = (7 - 1) = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6 r = 6
(7 - 1) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (7 + 6) = 13 = 13 = 13 = 13 = 13) = 6 = 13 = 13 = 13) = 6 = 13 = 13) = 6 = 13) = 6 =
-2
-13
11
(((9 + 8) * 8) * ((1 - 2) - 7)) =
((19 * 8) * ((1 - 2) - 7)) = ((19 * 8) * (-1 - 7)) = (208 * (-1 - 7)) = (208 * -8) = T8 = T8 = 4 = 4 = 4 0 (208 + 8) = 256 = 512 816 (8 *
(31 * 8) = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 52 = 56 = 56 = 56 = 56 =
-16
-69
53
(((1 + 7) - 2) - (3 + (3 + 4))) =
((8 - 2) - (3 + (3 + 4))) = ((8 - 2) - (3 + 7)) = (6 - (3 + 7)) = (6 - 10) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
(8 - (2 - (3 + 4))) = (8 - 5) = 3 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = = 17 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = = 17
0
-45
45
(((5 * 8) - 6) * (6 * 8)) =
((40 - 6) * (6 * 8)) = (*40 - 6) * 12) = (34 * 12) = 168 = 168 = 168 = 168 = 168 = 168 (6 * 12) = (18 * 12) = 168 = 168 168 = 168 0 = 168 0 = 168 0
(40 - 6) = 34 = 34 = 34 (34 - 6) = 28 = 34 (34 - 6) = 26 (34) = 28 (34) = 28 (34) = 28 (34) = 28 (14) = 28 ( 34) = 14 34 (34) = 28
-7
-42
35
(((5 * 5) + 5) * 2) =
(25 + 5) = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 = 30 (2 + 8) = 9 = 11 = 11 = 1 (2 + 9) = 10 = 11 (2 + 9) = 11 = 11 (2 + 9) = 11 (11 -
(25 + 5) = 30 = 35.5 = 35.5 = 35.5 = 35.5 = 35.5 = 65 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5 = 65.5
-13
-15
2
(((7 + 4) + (2 + 4)) * 1) =
((11 + (2 + 4)) * 1) = ((11 + 6) * 1) = (17 * 1) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17) = (17 * 1)
(11 + (2 + 4)) = (11 + 6) = 23 = 29 = 29 = 29 H8 = 27 + 31 = 56 = 81 H9 = 27 + 41 = 68 H10 = 9 + 68 = 77 H1 = 13 + 69 = 77 H8 = 13 + 69 =
0
-22
22
(((9 * 6) + (4 + 1)) * 3) =
(162 + (4 + 1)) = (162 + 5) = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774 = 1774) = 1774 = 1774 = 1774 = 17
(81 + (4 + 1)) = (81 = 4) = 83 = 83 = 83 (81 - 4) = 83 = 83 (81 + 83) = 166 (166 + 83) = 267 (257 - 193) = 56 9 (6 + (1 + 7)) = (7 + 7) = 14
-25
-31
6
(((4 - 8) * 6) * ((1 + 2) * 2)) =
((-4 * 6) * ((1 + 2) * 2)) = (0 * ((1 + 2) * 2)) = (0 * 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(4 * 6) = 24 = 96 = 96 = 96 (4 * 6) = 24 = 24 = 24 (24 = 24) = 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0
-35
-72
37
(((5 * 8) + 8) - ((5 - 1) + (8 + 4))) =
((40 + 8) - ((5 - 1) + (8 + 4))) = ((40 + 8) - (4 + (8 + 4))) = (48 - (4 + (8 + 4))) = (48 - 16) = 32 = 28 = 28 = 28 (32 - 32) + 28 (32 +
(40 + 8) = 52 = 64 = 64 = 64 = 64 (40 + 8) = 64 = 68 = 68 (40 + 8) = 68 = 76 (40 + 8) = 68 (68 = 68) = 68
-27
-102
75
(((2 * 5) - 4) + (2 * (4 - 7))) =
((10 - 4) + (2 * (4 - 7))) = ((10 - 4) + (2 * -3)) = ((10 - 4) + -6) = (6 + -6) = 0 = 0 = 0 = 0 = 0 = 0 =0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(10 - 4) = 6.2 = 10 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6.2 = 6
-9
-61
52
(((6 - 9) * 2) - (1 * (4 - 1))) =
(3 * 2) - (1 * (4 - 1))) = (3 * 2) - (1 * 3)) = (3 * 2) - (1 * 3)) = (3 * 2) - (1 * 3)) = (3 * 2) - 7) = 7) - 7) = 7) - 7) = 7
(3 * 2) = 6 + 2 = 4 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (3 * 2) = 6 = 6 = 6 = 6) = (3 * 2) = 6 = 6 = 6) = 0 = 6 = 6) = 0 = 6) = 0) = 0) =
-39
-61
22
(((4 - 4) + (2 - 9)) - 1) =
((0 + (2 - 9)) - 1) = ((0 + -7) - 1) = (-7 - 1) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 = -8 =
(0 + (2 - 9)) = (0 + -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 =
0
-20
20
(((5 + 7) + (1 - 1)) - ((2 - 7) + (9 - 4))) =
((12 + (1 - 1)) - ((2 - 7) + (9 - 4))) = ((12 + 0) - ((2 - 7) + (9 - 4))) = ((12 + 0) - (-7 + (9 - 4))) = (12 - (-7 + (9 - 4))) = (12 - (
(12 + (1 - 1)) = (12 + 0) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 + -8 = 4 + 26 = 22 = 22 = 22 = 22 = 22 =
-30
-111
81
(((7 - 3) + (9 + 9)) + 3) =
(4 + (9 + 9)) = (4 + 18) = 26 = 26 = 26 = 26 = 26 = 26 (4 + 18) = 28 = 28 = 28 = 28 (4 + 18) = 28 = 28 (14 + 14) = 28 = 28 (14 + 14) = 28
(4 + (9 + 9)) = (4 + 18) = 26 = 30 = 26 = 26
-20
-21
1
(((8 - 5) + 9) * (3 + (8 - 2))) =
(( 3 + 9) * (3 + (8 - 2))) = (( 3 + 9) * (3 + 6)) = (( 3 + 9) * (3 + 6)) = (12 * (3 + 6)) = (12 * 9) = 108 = 108 = 108 9 (12 + 48) = 84
(3 + 9) = 12 = 15 = 15 = 15 = 15 = (1 + 12) = 13 = 13 = 21 = 24 (1 + 13) = 13 = 17 (1 + 13) = 13 = 17 ((1 + 13) + 13) = (13 + 13) = 31 22 (1 + 13
-24
-59
35
(((2 * 5) * 9) - (2 * 2)) =
(10 * 9) - (2 * 2) = (10 * 9) - (2 * 2) = (10 * 9) - 4 = 20 = 20 = 20 = 20 = 0. 0 (10 * 9) - (2 * 2) - 4 = 20 = 20 = 20 = 0. 0 (10 * 9
(10 * 9) = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90
-18
-33
15
(((4 + 6) * (6 + 8)) - (6 * (8 * 2))) =
((10 * (6 + 8)) - (6 * (8 * 2))) = ((10 * 14) - (6 * (8 * 2))) = ((10 * 14) - (6 * 16)) = (70 - (6 * 16)) = (70 - 96) = -46 = -46 = -46 (70 - 96)
(10 * (6 * (8 * 2))) = (10 * 16) = 70 = 70 (10 * 16) = 200 = 200 (200) = 200 (200) = 200 8 = 200 8
-6
-77
71
(((5 - 2) * 5) - 1) =
((3 * 5) - 1) = (15 - 1) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = 8 = 14 = 14 = 14 = 14 = 14 (8 + 14) = 14 = 14 = 14 (8
(3 * 5) - 1 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 (0 * 5) - 1 = 0 = 0 = 0 = 0 1 (0 * 5) - 1 = 0 = 0 0 (0 * 5) - 1
0
-10
10
(((8 - 2) - 2) + ((5 - 6) - (1 * 3))) =
((6 - 2) + ((5 - 6) - (1 * 3))) = ((6 - 2) + (-1 - (1 * 3))) = ((6 - 2) + (-1 - 3)) = (4 + (-1 - 3)) = (4 - 4) = 0. 0 (4 + (4 - 4
((6 - 2) + ((5 - 6) - (1 * 3))) = ((6 - 2) + (-1 - (1 * 3))) = (4 + (-1 - 3)) = (4 + -4) = 0 = 0 = 0 = 0
-14
-22
8
(((1 * 5) - (9 + 1)) + ((8 + 7) * (8 - 7))) =
((5 - (9 + 1)) + ((8 + 7) * (8 - 7))) = ((5 - 10) + ((8 + 7) * (8 - 7))) = ((5 - 10) + (15 * (8 - 7))) = ((5 - 10) + (15 * 1)) = (-5 + (
(( 5 - (9 + 1)) + ((8 + 7) * (8 - 7))) = ((5 - 10) + ((8 + 7) * (8 - 7))) = ((5 - 10) + (9 * (8 - 7))) = ((5 - 10) + (9 * 1)) = (-5 + (9 * 1
-19
-20
1
(((3 * 2) + (6 - 5)) + 6) =
((6 + (6 - 5)) + 6) = ((6 + 1) + 6) = (7 + 6) = 13 = 23 = 23 = 23 (7 + 6) = 39 = 53 (7 + 6) = 39 = 53 (7 + 6) = 39 = 53 2 = 73 +
(6 + 6) = 12 = 18 = 18 = 18 = 18 (12 + 6) = 18 = 18 (18 + 18) = 30 (18) = 30 (30) = 30 (30) = 30 (30) = 30 6 (30) = 30
0
-32
32
(((1 + 4) + (7 + 5)) * 8) =
((5 + (7 + 5)) * 8) = ((5 + 12) * 8) = (17 * 8) = 64 = 88 = 88? 88 (2 + 8) = 6 = 10 = 6 = 6? 4 (2 + 9) = 11 = 13 = 13? 11 (2 + 2
((9 + (7 + 5)) * 8) = (10 + (7 + 5)) = (10 + 12) = 22 = 38 (2 - 22) = n - 20 = -12 (2 - 22) = -18 = -12 (2 - 22) = -18 (2 - 22) = -18
-3
-16
13
(((5 + 6) + (2 + 5)) - 4) =
((11 + (2 + 5)) - 4) = ((11 + 7) - 4) = (18 - 4) = 13 = 9 = 9 = 9 = 9 = 9 (9 + 9) = 27 = 30 = 57 = 36 (9 + 9) = 27 = 57 (27 + 57) = 87
(9 + (2 + 5)) = (9 + 7) = 16 = 19 = 19 = 19 = 19 = 19 2 = (16) = 116 = 118 3 = 79 = 79 1 = 79 1 = 79 1 = 79 1 = 79 1 = 79 1 = 79
-1
-24
23
(((6 * 1) + 1) - 3) =
((6 + 1) - 3) = (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
(6 + 1) = 7. 7 (6 + 1) = 7. 7 (6 + 1) = 7. 7 (6 + 1) = 7. 7 (6 + 1) = 7. 7 8 = 8.4 8 (6 + 1) = 7. 7
0
-20
20
(((6 - 7) + (1 + 1)) * 9) =
(-1 + (1 + 1)) = (-1 + 2) = 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 + 2) = 3 (2) = 5 (2) = 7 (7) = 11 (7) = 11 (7) = 11 (7) = 11) = 11 (11) = 11 (11) = 11 (11) = 11 (11) = 11
-19
-24
5
(((3 * 2) - (4 - 5)) * (2 + (3 * 5))) =
((6 - (4 - 5)) * (2 + (3 * 5))) = ((6 - -1) * (2 + (3 * 5))) = ((6 - -1) * (2 + 15)) = (7 * (2 + 15)) = (7 * 17) = 91 = 91 = 1 = 1 = 1 = 1
(6 - (4 - 5)) = (6 - -1) = 7 = 8 = 8 = 8 = 8 =8 = 8 1 7 1 4 3 3 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7
-2
-82
80
(((7 + 9) * (3 + 6)) + ((7 + 3) * (8 + 2))) =
((14 * (3 + 6)) + ((7 + 3) * (8 + 2))) = ((14 * 9) + ((7 + 3) * (8 + 2))) = (14 + ((7 + 3) * (8 + 2))) = (14 + (14 * (8 + 2))) = (14 + (
((16 * (3 + 6)) + ((7 + 3) * (8 + 2))) = ((16 * 9) + ((7 + 3) * (8 + 2))) = (16 + (18 + ((7 + 3) * (8 + 2))))) = (16 + (18 + (18 + 10)) + ((
-47
-57
10
(((6 + 8) + 9) - 6) =
((14 + 9) - 6) = (23 - 6) = 17 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10) = 10 = 10 = 10 = 10) = 10 = 10 = 10 = 10) = 10 = 10 = 10) = 10 = 10) = 10) =
(14 + 9) = 23 = 34 = 34 = 34 = 34 (4 - 3) = (1 - 6) = -5 = -5 = -5 (1 - 6) = -5 = -5 eg (1 - 5) = -5 = -5 -4 (1 - 5) = -5 =
0
-14
14
(((3 - 7) + (7 * 4)) - (6 - 9)) =
((-4 + (7 * 4)) - (6 - 9)) = ((-4 + 28) - (6 - 9)) = ((-4 + 28) - -3) = (24 - -3) = 27 = 30 = 27 (27 + -3) = 24 (27 + -3) (27 + -3
((-4 + (7 * 4)) - (6 - 9)) = ((-4 + 28) - (6 - 9) = ((4 - 9) + -3)) = ((4 - 28) - -3) = (-24 - -3) = -21 = -21 = -21 = -21 = -21 = -21 =
0
-23
23
(((3 * 3) - (1 * 2)) * (1 * (2 * 7))) =
(9 - (1 * 2)) * (1 * (2 * 7))) = (9 - 2) = 7 = 7 = 7
(9 - (1 * 2)) = (9 - 2) = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.6 = 7.
-61
-78
17
(((3 + 3) + (8 + 3)) - 7) =
(6 + (8 + 3)) = (6 + 11) = 17 = 17 = 17 = 17 (17 - 17) = 0 = 0 (0 = 0) = 0 *(0 = 0) = 0 (0 = 0) = 0 0 (0 = 0) = 0 0 0 = 0
(6 + (8 + 3)) = (3 + 11) = 16 = 19 = 19 = 19 (16 + 19) = 33 = 53 (33 + 3) = 60 (63 - 63) = 0 = 0 0 (3 - 63) = -64 -57 (3 + 3) = 0
-19
-21
2
(((5 * 4) - (1 * 6)) * 8) =
(20 - (1 * 6)) * 8) = (20 - 6) = 14 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 (4 - 6) = -2 = -2 = -2 = -2 = 2 = 2 = 2 = 2 (4 - 6)
(20 - (1 * 6)) = (20 - 6) = 14 (20 - 6) = 14 (14) = 14 (14) = 14 6 (14) = 14 2 (1 - 1) 0 8 8 8 8 8 8 8 8 8 8
-15
-22
7
(((9 + 5) - (9 + 2)) - 1) =
((14 - (9 + 2)) - 1) = ((14 - 11) - 1) = (3 - 1) = 2 = 1 = 1 = 1 = 1 = 1 (3 - 1) = 2 = 1 = 1 = 1 (3 - 1) = 2 = 1 = 1 = 1 (3 - 1) = 2
(14 - (9 + 2)) = (14 - 11) = 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 = 3
0
-19
19
(((6 + 4) + (2 * 1)) - (1 + 8)) =
(10 + (2 * 1)) - (1 + 8)) = (10 + 2) = 12 = 14 = 14 = 14 = 14 = 14 = (12 + 12) = 24 = 24 = 24 = 0 9 + (2 + 4) = 13 = 17 23 (9 - 14) = -5 -3
(10 + (2 * 1)) - (1 + 8) = (10 + 2) = 14 = 14 (10 + 2) = 14 (14) = 14 (14) = 14 (14) = 14 (14) = 14 (14) = 14 (14) = 14 (14) = 14
-34
-38
4
(((1 - 4) - 5) + (4 + (3 + 4))) =
((1 - 5) + (4 + (3 + 4))) = ((1 - 5) + (4 + 7)) = (4 + (4 + 7)) = (4 + 11) = 15 = 19 = 19 (14) = 15 = 19 (irk) = 19 (5) = 5 (
((-3 - 5) + (4 + (3 + 4))) = (-8 + (4 + 5)) = (-8 + 9) = 1. 1 (1 - 1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 (1 - 0) = 0 = 0 = 0
-10
-22
12
(((2 * 7) + 6) - 2) =
(14 + 6) = 20 = 26 = 26 = 26 The estimation method for determining cost impact is an iterative process. As an example, in light of a selection method, A often implies a selection method and B often implies an elimination method: (20 + 6) = (26 + 6) = 34 = 34 The estimation
(14 + 6) = 20 (20) - (14 - 2) = 14 4 (14 + (14 - 2)) = (14 - 12) = 4 2 (14 - 12) = 4 2 (2 - 4) = -2 -2 (2 - 5) = -3 -7
-14
-32
18
(((8 + 5) + (6 + 2)) + 3) =
((13 + (6 + 2)) + 3) = ((13 + 8) + 3) = (21 + 3) = 27 = 30 = 33 = 33 (27 + 3) = 36 = 43 (27 = 33) (43) = 43 (43) = 43 (43) = 43 (43) =
((13 + (6 + 2)) + 3) = ((13 + 8) + 3) = ((21 + 3) + 3) = (28 + 3) = 31 = 39 = 52 (31 + 3) = 39 = 39 (39 + 3) = 42 (39 + 3) = 42 (42 - 42)
-1
-13
12
(((5 * 8) + 6) + 2) =
(40 + 6) = 46 = 46 = 28 (40 + 6) = 58 = 58 2 + 26 = 28 4 (2 + 28) = 30 34 (2 + 14) = 16 18 (2 + 14) = 16 18 (2 + 14) = 16 18 (2 +
(40 + 6) = 46 = 50 = 50 = 50 = 50 = 50 = 50 (40 + 6) = 46 = 66 = 86 = 94 (40 + 6) = 66 = 90 (66 + 2) = 74 (74) = 74 (74) = 74 (74)
-13
-14
1
(((7 + 1) + 9) * (4 + 2)) =
((8 + 9) * (4 + 2)) = ((8 + 9) * 6) = (19 * 6) = 114 + 114 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 = 234 =
(8 + 9) not (18) not (18) not (12) not (9) not (18) not (18) not (18) not (18) not (18)) = (8 + 9) not (18) not (18) not (18) not (18) not (18) not (18) not (
-9
-95
86
(((4 * 1) + 1) * (1 * (2 - 8))) =
((4 + 1) * (1 * (2 - 8))) = ((4 + 1) * (1 * -6)) = (5 * (1 * -6)) = (5 * -6) = -30 = -30 = -30. (5 * -6) = -30 = -30. Join the
((4 * 1) * (1 * (2 - 8))) = ((4 * 1) * (1 * -6)) = (4 * (1 * -6)) = (4 * -6) = -24 = -24 = -24 = -24 = -24 = -24 (4 * -6)
0
-8
8
(((2 - 7) * 4) - 4) =
((-5 * 4) - 4) = (-20 - 4) = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24) = -24 = -24 = -24
(5 * 4) - (4 - 4) = (4 - 4) = 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
-16
16
(((5 * 8) - (6 - 4)) - ((3 * 7) + 1)) =
((40 - (6 - 4)) - ((3 * 7) + 1)) = ((40 - 2) - ((3 * 7) + 1)) = ((40 - 2) - (21 + 1)) = (38 - (21 + 1)) = (38 - 22) = 16; (18 - 11) = 7; (7 - 11
((40 - (6 - 4)) - ((3 * 7) + 1)) = (50 - (6 - 4)) = (50 - 2) = 48 = 46 (50 - 2) = 46 (50 - 2) (46 - 46) = 8 8 (46 - 46) = 8 0 (46 -
-10
-67
57
(((5 * 6) - 4) + 2) =
(30 - 4) = (26 - 26) = 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
(30 - 4) = 26 = 30 = 30.
-10
-14
4
(((6 - 7) - 2) - (1 + 4)) =
((-1 - 2) - (1 + 4)) = ((-1 - 2) - 5) = (-3 - 5) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 =
(-1 - 2) - (1 + 4)) = ((1 - 2) - 5) = (-1 - 5) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6
0
-5
5
(((2 * 5) + (7 + 5)) * (3 - (1 + 5))) =
((10 + (7 + 5)) * (3 - (1 + 5))) = ((10 + 12) * (3 - (1 + 5))) = (32 * (3 - (1 + 5))) = (32 * 6) = 96 = 96 (96) = 96 (96) = 96 (96)
(10 + (7 + 5)) * (3 - (1 + 5))) = (10 + (7 + (7 + 5))) = (10 + (7 + 12)) = (10 + 19) = 29 = 34 = 34 = 14 (((2 + 5) + (7 + 3)) * (3 - (1 + 5)))
-36
-46
10
(((6 - 5) * 5) - 7) =
(1 * 5) - 7 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = (1 * 5) - 7 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5)
(1 * 5) - (1 - 7) = (1 * 5) - (1 - 7)) = (1 * 5) - -6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (1 * 5)
-12
-30
18
(((2 - 6) * (1 + 8)) - (4 + 6)) =
((-4 * (1 + 8)) - (4 + 6)) = ((-4 * 9) - (4 + 6)) = ((-4 * 9) - 10) = (-36 - 10) = -46 = -46 = -46 = -46 = -46 = -46 = -46 = -46 = -46 =
((-4 * (1 + 8)) - (4 + 6)) = ((-4 * 9) - (4 + 6)) = ((-4 * 9) - 10) = (36 - 10) = 26 = 20 (36 - 10) = 26 (36 - 10) = 26 (36 - 10) = 26
0
-13
13
(((1 - 3) + 2) * 7) =
((-2 + 2) * 7) = (0 * 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 ((1 + 2) * 7) = (3 * 7) = 21 = 21 0 (3 + 7) = 10 = 11 11 (3 * 7) = 9
(2 + 2) = 4 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (2 + 2) = 4 = 6 = 6 = 6 = 6 (2 + 2) = 4 = 6 = 6 ((2 + 2) = 6) = 6
0
-15
15
(((1 * 8) + (7 - 6)) * (9 + 5)) =
((8 + (7 - 6)) * (9 + 5)) = ((8 + 1) * (9 + 5)) = ((8 + 1) * 14) = (9 * 14) = 126 = 126 = 60 = 42 = 18 (6 + 14) = 25 = 51 = 30 ((6 + 14) + 30) =
(8 + (7 - 6)) = (8 + 1) = 9 = 9 = 9 = 9 (9 + 9) = 18 = 27 (18) = 27 (18) = 27 3 (18) = 27 27 (9) = 27 27 (9) = 27 27 (9
0
-48
48
(((6 - 7) - (4 * 3)) + 7) =
((-1 - (4 * 3)) + 7) = ((-1 - 12) + 7) = (-13 + 7) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 =
(1 - (4 * 3)) = (1 - 12) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11) = (11 - 11) = 0 = 0 = 0 = 0 = 0 = 0 =
-2
-25
23
(((5 - 3) + (8 * 5)) * ((4 - 6) * 7)) =
((2 + (8 * 5)) * ((4 - 6) * 7)) = ((2 + 40) * ((4 - 6) * 7)) = ((2 + 40) * (-2 * 7)) = ((2 + 40) * (2 * 7)) = (42 * 7) = 42… = 84 = 84… = 84 =
((2 + (8 * 5)) * ((4 - 6) * 7)) = (5 + (8 * 5)) = (5 + 40) = 55 = 60 = 60.5 (80 + 50) = 1050 (80 + 50) = 1050 30 (80 + 50) = 1050 160 (
-18
-76
58
(((3 - 3) * 1) - (2 * 8)) =
((0 * 1) - (2 * 8)) = ((0 * 1) - 16) = (0 - 16) = -16 = -16 = -16 = -16 = -16 ((0 - 16) - 16) = (0 - 16) = -16 = -16 = -16 ((0 - 16) -
(0 * 1) = (0 * 1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 0 (0 * 1) = 0 = 0 0 (0 * 1) = 0 0 What (0 * 1) = 0 0 (0 * 1) = 0 0 (0
0
-32
32
(((4 + 3) - 6) * 8) =
((7 - 6) * 8) = (1 * 8) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 ivalry = (8 * 8) = 64 = 64 = 64 = 64 IG Artificial Intelligence IG AI (Institute for Generating Data) in Chicago was founded on May 6, 2007.
((7 - 6) * 8) = (1 * 8) = 8 8 (1 * 8) = 8 8 (1 * 8) = 8 8 (1 * 8) = 8 8 (1 * 8) = 8 8 (1 * 8) = 8 8 8 (
0
-8
8
(((3 * 1) + (2 + 2)) * 8) =
((3 + (2 + 2)) * 8) = ((3 + 6) * 8) = (9 * 8) = 72 = 72 = 72 = 72 (72 + 82) = 163 = 245 (72 + 82) = 293 (72 + 81) = 213 (53 + 1) = 54 (53)
(3 + (2 + 2)) = (3 + 6) = 9 = 13 = 13 (13 + 9) = 22 (13 + 13) = 26 (13 + 13) = 34 ef (13 + 9) = 26 35 (13 + 13) = 34 45 (13 + 13) =
-4
-22
18
(((1 + 4) * 1) - 8) =
((5 * 1) - 8) = (5 - 8) = -3 = -3 = -3 = -3 = -3 (3 - 3) = (1 - 3) = -2 = -3 = -3 (1 - 3) = -2 = -2 -2 (1 - 3) = -2
(5 * 1) = 5 (5 * 1) = 5 1 = 5 5 = 5 0 (5 + 5) = 10 25 (5 + 5) = 10 15 (5 * 1) = 5 5 (5 * 1) = 5 5 (5 * 1) = 5
0
-13
13
(((9 - 9) * (6 * 7)) + 9) =
((0 * (6 * 7)) + 9) = ((0 * 42) + 9) = (0 + 9) = 9 = 9 = 9 = 9 = 9 Exciting! As a Southern California native, I’m really looking forward to finishing grad school. I’m a good Catholic, and I know that
(0 * (6 * 7)) = (0 * 42) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 (0 * 42) = 0 = 0 = 0 = 0 = 0 = 0 (0 * 42) = 0 = 0 0
0
-19
19
(((9 - 3) * 5) - ((7 + 4) - (8 + 8))) =
(6 * 5) + ((7 + 4) - (8 + 8))) = (6 * 5) + (13 - (8 + 8))) = (6 * 5) + (13 - 16)) = (6 + (13 - 16)) = (6 + -1) = 5 = 4 = 4 = 4 = 4
((6 * 5) - ((7 + 4) - (8 + 8))) = ((6 * 5) - (11 - (8 + 8))) = (26 - (11 - (8 + 8))) = (26 - (11 - 24)) = (26 - -15) = 41 Updated ratings were released for UNR
-17
-19
2
(((6 * 4) * (8 - 2)) * ((1 - 2) - 7)) =
((24 * (8 - 2)) * ((1 - 2) - 7)) = ((24 * 6) * ((1 - 2) - 7)) = ((24 * 6) * -3) = (144 * -3) = -72 = -72 = -72 = -72 = -72 = -72 = -72 = -72 =
(24 * (8 - 2)) = (24 * 6) = 96 = 96 = 96 = 92 (96) = 92 = 92 (96) = 92 (96) = 92 (92) = 92 2 (92) = 92 2 (92) = 92 2 (62) = 97 9
-29
-92
63
(((9 - 3) + 5) - 2) =
((6 + 5) - 2) = (11 - 2) = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 = 9.1 be 9.1 = 9.1 be 9.
((4 + 5) - 2) = (9 - 2) = 7 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 (9 + 5) = 8 = 8 = 8 = 8 = 5 (8 + 8) = 8 = 8 = 8 = 8 (8 + 8)
-1
-4
3
(((2 - 4) - (7 - 4)) * (9 * (8 * 2))) =
((-2 - (7 - 4)) * (9 * (8 * 2))) = ((-2 - 3) * (9 * (8 * 2))) = ((-2 - 3) * (9 * 16)) = (-5 * (9 * 16)) = (-5 * 96) = 90 = 90 = 90 = 90 = 90 = 0
((-2 - (7 - 4)) * (9 * (8 * 2))) = ((-2 - 3) * (9 * (8 * 2))) = ((-2 - 3) * (9 * 16)) = (5 * (9 * 16)) = (5 * 96) = 480 = 960 = 960 = 960 - 80
-9
-11
2
(((4 * 8) * (9 * 3)) - 9) =
(32 * (9 * 3)) = (32 * 27) = 384 = 856 = 856 (4*3) = (12) = 116 = 116. 16 (4 * 12) = (12) = 126 = 96 12 (4 * 12) = 28 32 (4 * 12) = 28
(32 * (9 * 3)) = (32 * 27) = 90 = 270 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = 210 = Fr (10) = 1 = 1 = 1 8 = 8 (10) = 10) = 10 = 10)) =
-20
-23
3
(((1 * 7) + (5 * 2)) + (5 * (6 - 5))) =
((7 + (5 * 2)) + (5 * (6 - 5))) = ((7 + 10) + (5 * (6 - 5))) = (17 + (5 * (6 - 5)) + (5 * 1)) = (17 + 1) = 18 = 19 S = 19 As a group, we have brought something
(7 + (5 * 2)) + (5 * (6 - 5))) = (7 + 10) = 17 = 27 = 27 = 27 = 27 = 27 (7 + 10) = 17 = 17 = 17 1 + 1
-28
-59
31
(((6 * 1) - 9) * ((7 + 5) - (7 + 3))) =
((6 - 9) * ((7 + 5) - (7 + 3))) = ((6 - 9) * (12 - (7 + 3))) = ((6 - 9) * (12 - 10)) = (-3 * (12 - 10)) = (-3 * 2) = -6 = -6 Library = -6 + 6 = 0 =
((6 - 9) * ((7 + 5) - (7 + 3))) = ((6 - 9) * (12 - (7 + 3))) = ((6 - 9) * (12 - 10)) = (3 * (12 - 10)) = (3 * 2) = 6 = 6 6 (3*1
0
-8
8
(((1 * 9) + (8 - 5)) + 7) =
((9 + (8 - 5)) + 7) = ((9 + 3) + 7) = (12 + 7) = 19 = 31 (19 = -19) = -2 = -2 > (19) = -2 = -2 n - 2 (19) = -2 = -2 The a(2 -
(9 + (8 - 5)) = (9 + 3) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = (12 + 2) = 14 = 14 = 14 = 14 = 14 = 12 = 12 = 12 = 12 = 12 = 12)
0
-19
19
(((7 - 7) + (4 - 3)) - (3 * 3)) =
((0 + (4 - 3)) - (3 * 3)) = ((0 + 1) - (3 * 3)) = (0 - (3 * 3)) = (0 - 9) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9
(0 + (4 - 3)) = (0 + 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
-46
36
(((9 * 1) + 1) + 4) =
(9 + 1) = 10 - 10 = 0. 0 ((9 + 1) + 4) = (10 - 10 = 0) = 0 = 0 = 0 = 0 0 (10 - 10) = 0 = 0 = 0 0 (2 - 0) = 0 2 (6 - 2) = 0
(9 + 4) = 13 (13) = 13 What is (8 - 8) + 4? 0 (8 + 4) = 12 16 (8 + 4) = 12 16 (8 + 4) = 16 24 (8 + 4) = 16 20 (8 + 4) =
-23
-33
10
(((6 - 9) - 1) - 5) =
((-3 - 1) - 5) = (-4 - 5) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
( 3 - 5) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -
0
-16
16
(((7 * 9) + 5) + (4 - (8 - 1))) =
(63 + (4 - (8 - 1))) = (63 + (4 - 7)) = (63 + -3) = 60 = 49 = 46 (60 = -39) = 21 (30 = 39) = 27 (30 = 39) = 27 27 (30 = 39) = 27 57 (30
(63 + 5) = 68 = 73 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 (63 + 5) = 78 = 78 = 78 = 78 = 78 (63 + 78) = 99 = 99
-29
-60
31
(((5 + 8) + (5 + 3)) - (9 + 7)) =
((13 + (5 + 3)) - (9 + 7)) = ((13 + 8) - (9 + 7)) = ((13 + 8) - 16) = (23 + 14) = 39 = 53 (23 - 19) - (23 + 1) = (23 - 1) = 22 (23 - 1) -
((13 + (5 + 3)) - (9 + 7)) = = (18 - (5 + 3)) = (18 - 8) = 10 = 8 + 2 = 10) = 10 = 10 = actual = 10 = 10 = 10) = 10 = 10) = 10) = 10) = 10) = 10) = 10) = 10
-5
-34
29
(((4 + 3) - 3) * ((1 + 5) - 7)) =
((7 - 3) * ((1 + 5) - 7)) = ((7 - 3) * (6 - 7)) = (4 * (6 - 7)) = (4 * -1) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
((7 - 3) * ((1 + 5) - 7)) = ((7 - 3) * (6 - 7)) = {7 * (6 - 7)) = (7 * -1) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7
0
-5
5
(((3 * 6) + (8 * 9)) + ((9 * 9) + (9 + 7))) =
(18 + (8 * 9)) = (18 + 84) = 102 = 102 = 102 (18 + 84) = 126 = 174 = 258 (18 + 144) = 186 (18 + 150) = 171 (18) = 171 (18) = 171 (18) = 171 (18) = 81
(18 + (8 * 9)) = (18 + 54) = 75 = 81 = 81 = 81 (18 - 54) = -37 = -31 = -5 statistically, (18 + (18 - 5)) = (18 + 29) = 51 = 51 (18 + 29) = 75 (45
-118
-121
3
(((8 * 5) - 6) * (9 - 4)) =
(40 - 6) = 34 my = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3) = 3 = 3 = 3 = 3 = 3 = 3 = 3
(40 - 6) = 34 (28) = 42 (42) = 84 (84) = 366) = 602 (6) = 602 (6) = 602 (6) = 602 (6) = 602) = 602 (6) = 602 = 602 = 602 = 602 = 602 =
-34
-36
2
(((5 - 1) * 3) * (3 + (1 - 6))) =
((4 * 3) * (3 + (1 - 6))) = ((4 * 3) * (3 + -5)) = (12 * (3 + -5)) = (12 * -2) = -24 = -24 = -24 902 + 7 = 103 1 - 103 = -103 -103 +
((4 * 3) * (3 + (1 - 6))) = corrupt (3 * (3 + (1 - 6))) = corrupt (3 * -5) = (3 * -5) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15
0
-24
24
(((4 * 3) + (4 * 7)) + ((2 * 9) + 3)) =
((12 + (4 * 7)) + ((2 * 9) + 3)) = ((12 + 28) + ((2 * 9) + 3)) = ((12 + 28) + (18 + 3)) = (40 + (18 + 3)) = (40 + 21) = 71 (71) + 102 (71 + 0
(12 + (4 * 7)) = (12 + 28) = 40 = 52 = 52 = 52 = 52 (12 + 42) = 63 = 75 = 93 (12 + 42) = 69 = 75 (12 + 42) = 69 = 69 (12 + 42) = 69 = 69 (12
-18
-83
65
(((8 - 1) * 6) - ((2 - 2) + (2 + 7))) =
((7 * 6) - ((2 - 2) + (2 + 7))) = (7 - ((2 - 2) + (2 + 7))) = (7 - (2 + (2 + 7))) = (7 - (2 + 9)) = (7 - 11) = -4 = -4 = -4 = -4 = -4
((8 * 6) - ((2 - 2) + (2 + 7))) = (48 - ((2 - 2) + (2 + 7))) = (48 - (2 + (2 + 7))) = (48 - (2 + 9)) = (48 - 11) = 37.8 = 37.8 0.8
-24
-25
1
(((7 * 7) - 6) * 9) =
(49 - 6) = 43 (43 - 43) = 0.1 = 43 (43 + 43) = 98 (98) = 99 (99) = 99 (99) = 99 (99) = 99 (99) = 99 (99) = 99 (99) = 99 (99)
(49 - 6) = 43 = 41 = 41 = 41 = 41 = 43 (1 - 39) = -38 = -38 = -41 (1 - 38) = -38 = -38 (1 - 38) = -38 (1 - 38) = -38 (-38) = -38 - 38
-14
-15
1
(((1 * 7) * (4 * 4)) - 1) =
(7 * (4 * 4)) - 1 = (7 * 16) - 1 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7
(7 * (4 * 4)) = (7 * 16) = 28 = 28 = 28 = 28 = 28 = 28 If (4 * 4) = 28 = 28 = 28 8 (8 * 8) = 128 256 (8 * 8) = 128 128 8 (8 * 8) = 128 128
-16
-23
7
(((4 - 5) * (1 * 1)) * 2) =
((-1 * 1) * 2) = (1 * 2) = 2 = 2 = 2 = 2 = 2 = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two = two
(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 =
-22
-25
3
(((5 * 8) + (2 - 6)) + 7) =
(40 + (2 - 6)) = (40 + -4) = 36 = 32 = 32 = 32 = 32 = 32 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 (40 + -4) = 32 = 32 = 28 = 28 = 28 (40 = 32) = 32 = 28 =
(40 + (2 - 6)) = (40 + -4) = 36 = 36 (40 + -4) = 32 (32 + -4) = 28 (32 - 32) = 0 4 (32 - 32) = 0 0 (32 - 32) = 0 0 (8 - 8)
-20
-28
8