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response_j
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11
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response_k
stringlengths
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score_j
float64
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score_k
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(((1 * 1) * (8 - 1)) * (4 - 8)) =
((1 * (8 - 1)) * (4 - 8)) = ((1 * 7) * (4 - 8)) = ((1 * 7) * -4) = (7 * -4) = -28 = -28 = -28 (7 * -4) = -28 = -28 (7 * -4) =
(1 * (8 - 1)) = (1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 =
0
-50
50
(((1 - 8) + 4) - 8) =
((-6 + 4) - 8) = (2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (2 - 6) = -4 = -4 = -6 = -6 = -6 =
(7 + 8) = 15 = 23 = 23 = 23 = 23 = 23 = 23 = 23 (1 + 8) = (9 + 8) = 15 = 23 = 23 (1 + 9) = 10 = 10 (1 + 9) = 10 = 10 1 (1 + 9) = 10 = 10 1
-7
-21
14
(((3 * 5) * 6) * (2 + 3)) =
(15 * 6) = 105 = 105 = 105 = 105 = 105 = 105 = 105 = 105 = 105 = 135 = 135 = 135 = 135 = 135 = 135 = 135 = 135 = 135) = 1 = 135 = 135 = 135 for 135 = 165 for 165 for 165 = 165 for 165 for 135 = 165 for 45 = 135 for 135 for
(15 * 6) = 90 = 90 = 90 = 90 1 = 90 = 90 9 = 90 9 = 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90
-33
-34
1
(((8 + 2) * 4) - 3) =
((10 * 4) - 3) = (40 - 3) = 37 = 36 = 36 = 36 = 36 (37 - 3) = 34 = 31 (37 = 31) = 56 (37) = 56 (56) = 56 (56) = 56 (56) = 56 (56) = 56 (
(10 * 4) = 40 = 40 = 40 (10 * 4) = 100 = 200 (80 + 100) = 200 (80 + 100) = 200 (80 + 100) = 200 (80 + 100) = 200 6 4 4 1 1
0
-14
14
(((2 + 2) - (4 * 4)) + 2) =
((4 - (4 * 4)) + 2) = ((4 - 16) + 2) = (12 + 2) = 14 = 18 = 18 = 18 = 18 1.2 = 22 = 18 2 = 22 2 = 22 2 = 22 2 = 22 2 = 22 2
(4 - (4 * 4)) = (4 - 32) = -28 = -28 = -28 (28*t) = (28) = 32 = 32 (282) = 382 (282) = 382 (38) = 38 (38) = 38 (38) = 38 74 (38
-5
-29
24
(((5 - 7) * 4) * (7 * 9)) =
((1 * 4) * (7 * 9)) = ((1 * 4) * 63) = (4 * 63) = 248 = 248 = 248 = 248 = 248 = 242 = 242 = 242 = 242 = 242 = 242 = 242 = 242 (68 + 242) = 354 = 498 = 294 = 94 = 94 = 94 = 94
( -1 * (7 * 9)) ((-1 * 63) * (7 * 9)) = ( -1 * 63) = -63 = -63 = -63 ( -1 * 63) = -63 = -63 0 = -63 = -63 0 Unless it is ininus then it will defeat itself
-14
-46
32
(((9 * 1) + (6 + 6)) + 6) =
(9 + (6 + 6)) = (9 + 12) = 21 is a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a
(9 + 6) = 18 = 33 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 31 = 39 = 39 = 39) = (9 + 6) = 15 = 15 = 15 = (15) = 15 = 15 (15) = 15 (15) = 15 (15
-20
-35
15
(((2 + 6) * (1 + 1)) * 2) =
(*2 * (1 + 1)) * 2) = (*2 * 2) = (4 * 2) = 8 = 16 = 24 = 24 = 24 = 24 = 24 (4 * 2) = 8 = 8 = 24 = 24 (4 * 2) = 8 = 8 4 8 24
(8 * (1 + 1)) = (8 * 2) = 16 = 32 8 (8 * 2) = 16 32 ((8 * 2) = 16) 32 (8 * 2) = 16 32 (8 * 2) 16 (8 * 2) 16 (8 * 2)
-11
-26
15
(((5 - 4) + (2 * 7)) + (2 * (3 + 2))) =
((1 + (2 * 7)) + (2 * (3 + 2))) = ((1 + 14) + (2 * (3 + 2))) = ((1 + 14) + (2 * 5)) = (15 + (2 * 5)) = (15 + 10) = 25 = 25 = 25 = 25 0 ((1
(1 + (2 * (3 + 2))) = (1 + (2 * 5)) = (1 + 10) = 11 = 12 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 (1 + 10) = 11 = 11 = 11 = 11 = 11 (1 + 10
0
-62
62
(((3 * 7) * (8 * 7)) - ((6 * 5) * 1)) =
((21 * (8 * 7)) - ((6 * 5) * 1)) = ((21 * 56) - ((6 * 5) * 1)) = ((21 * 56) - (30 * 1)) = (84 - (30 * 1)) = (84 - 30) = 54 = 30 = 54 = 54 = 54 (
(21 * (8 * 7)) - ((6 * 5) * 1)) = (21 * 56) - (56 * 1) = 56 = 56 = 56 = 56 (56 * 1) - (56 * 1) = 56 = 56 = 56 (56 * 1) - (56 * 1) = 56 = 56
-11
-74
63
(((8 + 9) - (1 + 1)) * (4 * (1 - 6))) =
((17 - (1 + 1)) * (4 * (1 - 6))) = ((17 - 2) * (4 * (1 - 6))) = ((17 - 2) * (4 * -5)) = (15 * (4 * -5)) = (15 * -20) = -60 = -60
(17 - (1 + 1)) = (17 - 2) = 15 = 13 = 13 (17 + 2) = 19 = 21 (19) = 21 (19) = 21 (19) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21
-4
-85
81
(((9 - 1) * (8 * 3)) + 1) =
((8 * (8 * 3)) + 1) = ((8 * 24) + 1) = (72 + 1) = 73 = 74 = 74 (74 + 1) = 75 (74) = 74 (74) = 74 (74) = 74 (74) = 74 (74) = 74 (74)
(8 * (8 * 3)) + 1) = ((8 * 24) + 1) = (96 + 1) = 97 = 98 = 98 = 98 = 98 = 98 = 98 (96 + 1) = 97 = 97 = 98 (97 + 1) = 97 = 98 (97 + 97) = 98 (97 +
-4
-5
1
(((5 + 5) * 4) + ((6 * 7) + (5 - 9))) =
(10 * 4) + ((6 * 7) + (5 - 9))) = (10 * 4) + (84 + (5 - 9))) = (10 * 4) + (84 + -4)) = (10 * 4) + (84 + -4)) = (10 * 4) + (84 + -4)) = 104
(10 * 4) = 40. 40 (10 * 4) = 40. 40 (10 * 4) = 40. 40 (10 * 4) = 40. 40 (10 * 4) = 20. 20 (10 * 4) = 20. 20 9 (10 * 4)
-32
-89
57
(((7 - 6) * 7) + 4) =
(1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = (7 * 7) = 49 = 49 = 7 = 7 = 7 = 7 = 7 = 7) = (7 * 7) = 49 = 49 = 7 = 7)
(1 * 7) + 4: (7 + 4) = 11: in the homes of 11 families in Ohio. (1 * 7) + 4: (7 + 4) = 11: in the homes of 11 families in Ohio. (1 * 7) + 4: (7 + 4) = 11: in the homes of
-14
-61
47
(((6 * 7) * (6 - 8)) + 9) =
(42 * (6 - 8)) = (42 * -2) = -84 = -84 = -84 = -84 = -84 = -84 = -84 = - 84 = -84 = -84 = -84 = -84 = -84 = -84 = -84 = -84 = -84 = -84 = -84 =
(42 * (6 - 8)) = (42 * -2) = -84 = -84 = -84 (14 + -84) = -70 = -70 (-70) = -70 - 70 -70 It is 71 + 59 120 (70 + 2) - 72 -74 (70 +
-22
-32
10
(((9 + 9) + (4 - 8)) - ((1 + 4) * (6 + 4))) =
((18 + (4 - 8)) - ((1 + 4) * (6 + 4))) = ((18 + -4) - ((1 + 4) * (6 + 4))) = ((18 + -4) - ((1 + 4) * (6 + 4))) = ((18 + -4) - (5 * (6 + 4
(24 + (4 - 8)) = (24 + -4) = 20 = 16 = 16 = 16 = 16 = 16 (24 + -4) = 20 = 16 = 16 4 Evaluate (15 + 3) = 18. 27 (9 + 6) = 9 15 (3 - 8) +
-43
-134
91
(((2 - 9) - (7 - 8)) + (6 * (1 - 5))) =
((-7 - (7 - 8)) + (6 * (1 - 5))) = ((-7 - -1) + (6 * (1 - 5))) = ((-7 - -1) + (6 * -4)) = (6 + (6 * -4)) = (6 + -24) = -18 = -18
((-7 - (7 - 8)) + (6 * (1 - 5))) = ((-7 - -1) + (6 * (1 - 5))) = ((-7 - -1) + (6 * -4)) = ((-7 - -1) + -4) = (-6 + -4) = -10 = -
-6
-12
6
(((6 * 1) + (9 + 9)) - ((4 * 3) - (6 + 4))) =
((6 + (9 + 9)) - ((4 * 3) - (6 + 4))) = ((6 + 18) - ((4 * 3) - (6 + 4))) = ( (6 + 18) - (4 - (6 + 4))) = (6 - (4 - (6 + 4))) = (6 - (4 -
((6 * 1) - ((4 * 3) - (6 + 4))) = ((6 + ((4 * 3) - (6 + 4))) = (6 + (6 - (6 + 4))) = ((6 + (6 - 2)) - ((4 * 3) - (6 + 4))) = (6 + (6 -
-32
-64
32
(((1 * 6) - (9 * 2)) + 8) =
(6 - (9 * 2)) + 8) = (6 - 18) = -12 = -12 = -12 = -12 (12 - 12) = 0 (0 - 32) = -32 -32 (0 - 8) = -8 -8 David (7 - 42) = -35 -
(6 - (9 * 2)) + 8 = (6 - 18) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = (12 - -12) = 24 = 24 = 24 = 24 = 4) = 24 = 24 =
-17
-18
1
(((1 * 1) - (7 + 9)) + 6) =
((1 - (7 + 9)) + 6) = ((1 - 16) + 6) = (-15 + 6) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9) = -9 =
((1 - (7 + 9)) + 6) = {(1 - 16) + 6) = (-15 + 6) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9) = -9 = -9 = -9 = -9 = -9
0
-1
1
(((7 + 5) + 8) * 7) =
(12 + 8) = 20 + 12 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 0 = 32 + 32 0 = 32 0 = 32 0 = 32 0 = 32 0 = 32 0 = 32 0 = 32 0 = 32 0 = 32 0 =
(14 + 8) = 22 = 26 = 30 = 26 = 30 = 30 = 30 5 (5 - 11) = -6 = -6 = -6 2 (2 - 6) = -6 = -6 2 2 2 2 2 2 2
-13
-17
4
(((7 + 9) + 1) - ((6 * 2) * (3 * 9))) =
((16 + 1) - ((6 * 2) * (3 * 9))) = ((16 + 1) - (12 * (3 * 9))) = ((16 + 1) - (12 * 21)) = (17 - (12 * 21)) = (17 - 84) = -63 = -63 = -63
(16 + 1) = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = _ = 0 = 0 = 0 = 0 = 0 = 0 =
-10
-103
93
(((5 + 9) - 5) + 7) =
((14 - 5) + 7) = (9 + 7) = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16) = 16 = 16 = 16 = 16 = 16 = 16 (6 - 11) = -5 = -4 = -4
(14 - 5) = 9.1 + 6.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1 = 13.1
0
-12
12
(((3 - 3) + (9 * 7)) + ((5 * 1) - (2 + 7))) =
(0 + (9 * 7)) + ((5 * 1) - (2 + 7))) = (0 + 63) + ((5 * 1) - (2 + 7))) = (0 + 63) + (5 - (2 + 7))) = (0 + 63) + (5 - 9) = (0 + 63) + (
(0 + (9 * 7)) = (0 + 63) = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 = 63 =
-25
-111
86
(((9 - 6) + (5 * 1)) + ((8 * 5) + 6)) =
(3 + (5 * 1)) = (3 + 5) = 8 = 13 = 13 = 13 = 13 (8 + 8) = (16) = 24 = 32 (8 + 24) = 36 = 48 40 (8 + 36) = 44 = 52 64 (8 + 36) = 44 64 (
(3 + (5 * 1)) = (3 + 5) = 8 = 11 = 11 = 11 ( stems - (5 * 1)) = (3 + 5) = 8 = 11 ( stems - 5) = 8 = 11 ( 8 + 11) = 19 ( 11 + 11) = 19 The 5 = 19 The
-80
-92
12
(((3 + 6) * 9) * ((9 - 2) + 6)) =
(9 * 9) = 81 = 81 = 81 = 81 = 81 = 81 (81 + 81) = 144 = 273 = 273 = 273 (81 + 81) = 144 = 273 = 273 (81 + 81) = 144 = 273 = 273 (81 + 81) = 273 = 273 (81 + 81) = 273
(9 * 9) = 81 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927 = 927) = 927 = 927 = 927 = 927 = 927 = 927 = 927
-60
-63
3
(((9 - 1) + (3 * 4)) + (7 * (4 - 1))) =
((8 + (3 * 4)) + (7 * (4 - 1))) = ((8 + 12) + (7 * (4 - 1))) = ((8 + 12) + (7 * 3)) = (20 + (7 * 3)) = (20 + 21) = 41 = 91 = 91 (20 +
(8 + (3 * 4)) + (7 * (4 - 1))) = (8 + (4 * 4)) + (7 * 3) = (8 + 12) = 20 = 32 = 32 pit = 32 �((8 + 12) + (7 * 3)) = (8 + 12) = 28 = 32 ((8
0
-49
49
(((6 * 4) * 5) - 5) =
(24 * 5) = 100 = 100 (24 * 5) = 500 = 500 80 (24 - 5) = 29 19 (24 - 5) = 29 25 ((24 - 5) - 1) = 23 23
(24 * 5) - (24 * 6) - 9 (24 * 5) - (24 * 6) - 9 (24 * 6) - 54 (24 * 6) - 54 (54 - 54) (2 - 54) -52 (2 - 54) -52 (2 - 54)
-22
-110
88
(((8 - 4) + 8) - ((5 + 8) - (8 * 5))) =
((4 + 8) - ((5 + 8) - (8 * 5))) = ((4 + 8) - (13 - (8 * 5))) = (12 - (13 - 8)) = (12 - 5) = 7 U = 7 U = 7 U = 7 7 = 7 U = 7 8 = 7
((4 + 8) - ((5 + 8) - (8 * 5))) = (12 - ((5 + 8) - (8 * 5)) = (12 - (10 - (8 * 5))) = ((12 - (5 - 8)) - (8 * 5)) = (12 - (10 - 35)) = (12 - -
-29
-51
22
(((8 * 2) * 6) - 6) =
(16 * 6) - (96 - 6) = 90 = 90 = 90 = 90 = 90 = 90 (16 - 16) = (0 - 6) - (0 - 6) = -6 = -6 = -6 (1 + 6) = 7 - 7 (1 + 6) = 7 - 7 2 (
(16 * 6) - (16 - 6) = 10 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = 0 = 6 = 6 = 6 = 6 = 6 = 6) = 0 = 6 = 6 = 6) = 0 = 6 = 6) = 0 = 0) = 0) = 0 = 0) = 0
-14
-17
3
(((2 + 9) * (2 * 7)) + 6) =
((11 * (2 * 7)) + 6) = ((11 * 14) + 6) = (126 + 6) = 146 = 186 = 186 (26 + 6) = 28 = 34 (26 + 26) = 34 (26 + 26) = 34 (34 + 26) = 34 70 (34 - 26)
(11 * (2 * 7)) = (11 * 14) = 58 = 58 (11 * 14) = 98 (11 * 14) = 98 (11 * 14) = 98 (11 * 14) = 98 (11 * 14) = 98 8 9 8
-4
-30
26
(((2 * 5) * 3) + 6) =
(10 * 3) = 30 + 10. 30 (10 + 10) = 30. 50 (10 * 30) = 75 + 90. 135 (10 * 30) = 50 50 (10 * 30) = 50 50 (10 * 30) = 50 50 (50 * 30) = 150
(10 * 3) + 6.7 (10 * 3) + 6.7 (10 + 6) + 6 (10 + 6) + 6 (16 + 6) + 6 (20 + 6) + 6 26 (16 + 6) + 6 28 6 - 5 1 1 1
-30
-94
64
(((5 - 7) * (3 - 3)) * 6) =
((-1 * (3 - 3)) * 6) = ((-1 * 0) * 6) = (0 * 6) = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(-2 * 6) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = (12 = -12) = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 0 = 4 = 4 = 4
-3
-35
32
(((6 * 5) - 3) - (4 * (7 * 8))) =
(30 - 3) = 27 (27 - 3) = 24 (27 + 24) = 45 (27) = 144 (27) = 84 (24) = 96 (96) = 96 (96) = 96 (96) = 96 (96) = 96 (96) = 96 (
(30 - 3) = 27 = 24 = 24 = 24 = 24 = 24 (30 - 3) = 27 = 27 (30 - 3) = 27 (27) = 21 (27) = 21 (27) = 21 (21) = 21 (21) = 21 (21) = 21 36
-64
-68
4
(((5 * 1) * (9 * 6)) + 6) =
(5 * (9 * 6)) + 6) = (5 * 54) + 6 = 54 = 54 = 54 (4 + 6) + 6 = 10 = 14 = 10 (4 + 6) + 6 = 14 (4 + 6) + 6 = 14 (4 + 6) + 6 =
(5 * (9 * 6)) = (5 * 54) = 270 = 270. 630 (6 + 30) = 362 = 362. 34 (6 - 54) = -48 = -48. -48 (6 - 54) = -48 = -48. -48 (6 - 54
-15
-29
14
(((1 + 1) * 7) - 6) =
(2 * 7) - 6 = 14 (2 * 7) - 6 = 14 (2 * 7) - 6 = 14 (2 * 7) - 6 = 14 (2 * 7) - 6 = 14 (2 * 7) - 6 = 14 (2 * 7) - 6 = 14 4 (2
(2 * 7) - 6 (2 * 7) - 6 (2 * 7) - 6 2 (2 * 7) - 6 8 (2 * 7) - 6 -4 (2 * 7) - 6 -4 (2 * 7) - 6 -7 (2 * 7)
-24
-88
64
(((9 - 3) * (3 + 9)) + (6 + 7)) =
((6 * (3 + 9)) + (6 + 7)) = ((6 * 12) + (6 + 7)) = (12 + (6 + 7)) = (12 + 13) = 25 = 35 = 35 6 (12 + 13) = 29 for (29 + 35) = 35 = 35 AKA (29 +
(6 * (3 + 9)) = (6 * 12) = 72 = 72 (72) = 72 (72) = 72 (72) = 72 0 (72) = 72 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-10
-50
40
(((5 * 9) * (2 - 3)) + (7 * 7)) =
(45 * (2 - 3)) = (45 * -1) = -45 = -45 = -45 (45 = -45) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 approximately 0 = 0 = 0 0 approximately 0 = 0 0 0 0 0
(45 * (2 - 3)) = (45 * -1) = -45 = -45 = -45 (45 + -45) = 0 escapes (45 + 9) = 0 (45 + 0) = 0 0 (45 - 9) = 0 39 (45 + 0) = 0 0
-50
-57
7
(((3 * 4) - 1) + 3) =
(12 - 1) = 11
(12 - 1) = 11.1 (12 - 1) = 11.1 (12 - 1) = 11.1 (12 - 1) = 11.1 (11) = 11.1 (11) = 11 1 (11) = 11 1 (11) = 11 1 (
-14
-22
8
(((6 + 7) * (4 + 9)) * ((3 * 1) * 4)) =
((13 * (4 + 9)) * ((3 * 1) * 4)) = ((39 * 9) * ((3 * 1) * 4)) = ((39 * 9) * (3 * 4)) = (117 * (3 * 4)) = (117 * 12) = 702 = 726 (702 * 12) = 726
(13 * (4 + 9)) * ((3 * 1) * 4)) = (13 * 15) = 195 = 195 = 990 = 93 = 93 = 93 = 93 (9 * 15) = 195 = 195 = 93 = 93 (9 * 15) = 195 = 195 = 93 (9*x) = 195 =
-14
-66
52
(((1 + 6) + 9) + ((1 - 5) * 5)) =
((7 + 9) + ((1 - 5) * 5)) = ((7 + 9) + (-4 * 5)) = (16 + (-4 * 5)) = (16 + -20) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 =
(7 + 9) = 16 + 14 = 30 (16 + 14) = 46 + 45 = 71 5 (16 + 14) = 46 70 (16 + 14) = 46 70 (16 + 14) = 46 70 ((7 + 14) + (9 + 9)) = (7 + (7 +
0
-72
72
(((9 + 8) * (3 + 9)) + ((6 * 7) + (6 * 7))) =
((17 * (3 + 9)) + ((6 * 7) + (6 * 7))) = ((17 * 12) + ((6 * 7) + (6 * 7))) = (pad + ((6 * 7) + (6 * 7))) = (pad + 42) = (72 = 42) = 30 = 12 = 12
(17 * (3 + 9)) = (17 * 12) = 84 + 84 = 192 (17 * 12) = 24 (44) = 112 (16) = 112 (16) = 112 (16) = 112 (112) = 112 (112) = 112 16 (112) = 112 (
-53
-113
60
(((9 + 1) - (3 - 4)) + ((7 - 1) - 2)) =
((10 - (3 - 4)) + ((7 - 1) - 2)) = ((10 - -1) + ((7 - 1) - 2)) = ((10 - -1) + (4 - 2)) = (11 + (4 - 2)) = (11 + 2) = 13 = 15 = 15 = 15 (10
((10 - (3 - 4)) + ((7 - 1) - 2)) = ((10 - 1) + ((7 - 1) - 2)) = ((10 - 1) + (6 - 2)) = (9 + (6 - 2)) = (9 + 4) = 13 = 17 = 17
-4
-7
3
(((9 - 8) * 5) + ((3 + 6) * (3 + 6))) =
(1 * 5) + ((3 + 6) * (3 + 6))) = (1 * 5) + (3 * (3 + 6))) = (1 * 5) + (3 * 9)) = (1 * 5) + (3 * 18)) = (1 * 5) + (3 * 18)) = (1 *
(1 + (5 * 5)) = ((1 * 25) + ((3 + 6) * (3 + 6))) = (1 + 25) = 24 = 24 = 24 = 24 = 24 = 24 = 24 Topics Who doesn�((5 * 5) + (5 + (5 + 1))) = (5 + (
-29
-64
35
(((1 * 5) + 7) * 3) =
((5 + 7) * 3) = (12 * 3) = 36 = 36. 36 (12 - 36) = -24 = -24. -12 (12 + 30) = 42 54 (12 + 41) = 53 73 (12 + 41) = 43 59 (2 - 17) =
(5 + 7) = (12 + 3) = 15 = 21 = 21 (21) = 21 (21) = 21 (21) = 24 (24) = 24 (24) = 24 (24) = 24 (24) = 24 (24) = 24 (24) = 24 (24
0
-9
9
(((9 * 5) + (1 * 8)) - 1) =
((45 - (1 * 8)) - 1) = �((45 - 8) - 1) = (37 - 1) = 36 = 35 = 35 = 35 = 35 = 35 = 35 = 35 = 526 = 526 = 950 = 950 = 950 = 1046 = 1046 = 1046 = 1046 = 1046 = 10
(45 + (1 * 8)) = (45 + 8) = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 (53 + (1 * 8)) = (53 + 8) = 53 = 53 = 53 (53 + 8) = 53 = 53 = 53 (53 + 8) =
-6
-19
13
(((2 * 9) - (2 + 7)) + (7 - 3)) =
((18 - (2 + 7)) + (7 - 3)) = ((18 - 9) + (7 - 3)) = ((18 - 9) + 4) = (9 + 4) = 13 = 17 = 17 = 17 = 17 = 17 (9 - 13) = -2 = -2 = -2 = -2 =
(18 - (2 + 7)) = (18 - 9) = 9 = 3 = 3 = 3 = 3 = 3 (18 - 9) = 6 = 3 = 3 (18 - 9) = 3 (18 - 9) = 3 3 (18 - 9) = 3 3 (9 - 9) =
0
-45
45
(((3 - 7) - 9) * (8 - 2)) =
((-4 - 9) * (8 - 2)) = (1 * (8 - 2)) = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (6 - 6) = 6 = 0 = 6 = 6 = 6 = 6 0 = 6 = 6 = 6 = 6 (
(-4 - 9) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = (15 = -15) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10
-17
-36
19
(((4 - 8) + 8) - (3 * (7 + 5))) =
((-4 + 8) - (3 * (7 + 5))) = ((-4 + 8) - (3 * 12)) = (4 - (3 * 12)) = (4 - 36) = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -
(-4 + (3 * (7 + 5))) = (-4 + (7 + 12)) = (-4 + 19) = 13 = 13 = 13 = 13 = (13 - 13) = 0 = 0 = 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0
0
-33
33
(((2 * 3) * 8) * 4) =
(6 * 8) = (48 * 4) = 192 (48 * 4) = 192 (192) = 192 (192) = 192 (192) = 192 (192) =192 2 = 192 2 = 192 2 = 192 2 = 192 2 = 192 2 = 192 2 = 192
(6 * 8) = 96 (6 * 8) = 96 (6 * 8) = 96 96 (6 * 8) = 96 72 (6 * 8) = 96 48 (6 * 8) = 96 54 (6 * 8) = 96 48 (6 * 8) = 96
-14
-20
6
(((7 - 9) + 6) - (5 - (8 - 5))) =
((-2 + 6) - (5 - (8 - 5))) = ((-2 + 6) - (5 - 3)) = (4 - (5 - 3)) = (4 - 2) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
(+6 - (5 - (8 - 5))) = ( + (5 - 3) - (4 - (8 - 5))) = (+6 - (5 - (4 - 5))) = ( + (5 - 3) - (4 - 1)) = (+6 - (4 - 1)) = ( cleansing - 3) =
0
-59
59
(((1 + 8) - 4) - ((6 + 4) * (5 * 7))) =
((9 - 4) - ((6 + 4) * (5 * 7))) = ((9 - 4) - (10 * (5 * 7))) = ((9 - 4) - (10 * 35)) = (5 - (10 * 35)) = (5 - 50) = -45 = -45 = 0 = 0 = 0 =
((9 - 4) - ((6 + 4) * (5 * 7))) = ((9 - 4) - (10 * (5 * 7))) = ((9 - 4) - (10 * 35)) = (5 - (10 * 35)) = (5 - 850) = -85 = -85 = -85 = -85 = -85
-3
-5
2
(((1 - 5) * (9 - 4)) - (2 * (3 * 9))) =
((-4 * (9 - 4)) - (2 * (3 * 9))) = ((-4 * 5) - (2 * (3 * 9))) = ((-4 * 5) - (2 * 27)) = (-20 - (2 * 27)) = (-20 - 126) = -166 = -166 = -166 = -
((-4 * (9 - 4)) + (2 * (3 * 9))) = ((-4 * 5) - (2 * (3 * 9))) = ((-4 * 5) - 27) = (-20 - 27) = -53 = -53 = -53 = -53 = -53 = -53 = -53 = -
-9
-25
16
(((4 + 3) + (6 + 8)) * (6 + (7 + 6))) =
((7 + (6 + 8)) * (6 + (7 + 6))) = (((7 + 14) * (6 + (7 + 6))) = (((7 + 14) * (6 + 7)) = ((7 * 8) * 13) = (49 * 13) = 103 = 203 = 203 = 203 = 103 = 759
(7 + (6 + (7 + 6))) = (7 + (7 + 13)) = (7 + 20) = 27 = 37 = 37 (7 + (7 + 13)) = (7 + 27) = 34 = 36 (7 + 25) = 42 = 47 (42) = 42 (42) = 46
-16
-79
63
(((3 * 1) + (7 + 3)) - ((7 + 4) - 6)) =
((3 + (7 + 3)) - ((7 + 4) - 6)) = ((3 + 10) - ((7 + 4) - 6)) = ((3 + 10) - (11 - 6)) = (13 - (11 - 6)) = (13 - 5) = 8 (13 - 8) = 5 3 (5
((3 + (7 + 3)) - ((7 + 4) - 6)) = ((1 + 10) - ((7 + 4) - 6)) = (1 - 10) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -
-8
-38
30
(((8 - 9) + 6) - 2) =
(1 + 6) = 7 = 8 = 8 = 8 = 8 (8 + 8) = (12 = 8) = 16 = 16 8 (8 + 8) = 24 (8 + 16) = 32 44 (8 + 16) = 32 32 (8 + 16) = 32 48 (
(1 + 6) = 7 = 7 2 (1 + 6) = 7 = 7 8 (1 + 7) = 8 = 8 9 (1 + 7) = 9 10 (1 + 9) = 9 10 (1 + 9) = 10 11 (1 + 9) = 10
-15
-23
8
(((6 + 7) + (9 + 1)) * ((3 * 2) + 5)) =
((13 + (9 + 1)) * ((3 * 2) + 5)) = ((13 + 10) * ((3 * 2) + 5)) = (23 + ((3 * 2) + 5)) = (23 + 6) = 29 = 35) = 34 = (34 + 34) = 54 = 54 = 54 (34 +
(13 + (9 + 1)) * ((3 * 2) + 5) = (13 + 10) = 23 = 43 = 43 = 27 (23 + 17) = 56 = 79 (23 + 17) = 89 (23 + 17) = 89 (89 + 89) (94 + 80) - 1 (94
-24
-70
46
(((4 - 1) * 8) * 4) =
(3 * 8) = 24 (24) = 48 (48) = 96 (96) = 96) = 96 = 96 = 96 = 96 (24 * 8) = 96 (96) = 96 (24 * 8) = 192 (72) = 72 (72) = 72 (72) = 72 (72
(3 * 8) = 24 = 24 (3 * 8) = 24 = 24 0 (3 * 8) = 24 = 24 24 (3 * 8) = 24 24 (3 * 8) = 24 24 (3 * 8) = 24 24 (3 * 8) = 24 24
-16
-21
5
(((5 + 9) + 1) * (2 * 7)) =
((14 + 1) * (2 * 7)) = ((14 + 1) * 14) = (15 * 14) = 210 = 270 = 30 = 30 = 30 = 30 = 30 (30 * 14) = 90 = 90 = 30 = 30 (30 * 14) = 180 = 180 330 (30 + 720) = 960
(12 * (2 * 7)) = (12 * 14) = 168 = 216 = 432 = 1216 (12 * 14) = 168 = 168 = 168 (12 * 14) = 168 = 168 0 (12 + 168) = 216 24 (12 + 8) = 28 32 13 (12 * 14
0
-23
23
(((2 + 6) - 4) - ((5 - 3) * (9 * 7))) =
((8 - 4) - ((5 - 3) * (9 * 7))) = ((8 - 4) - (2 * (9 * 7))) = (4 - (2 * 9)) = (4 - 18) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 =
(8 - (4 * (9 * 7))) = (8 - (4 * 7)) = (8 - 28) = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 (20 - -20) = (20 = 20) = 20 = 20 = 20 (20
-27
-62
35
(((6 - 4) + (9 + 9)) * 3) =
((2 + (9 + 9)) * 3) = ((2 + 30) * 3) = (32 * 3) = 924 = 1337 = 113 = 131 = 133 = 133 (13 + 13) = 26 = 26 (23 - 26) = -3 -3 (13 + 13) = 26 33
= (2 + (9 + 9)) = (2 + 18) = 20 = 22 = 22 = 22 = if if if if then then then They (2 + 18) = 22 = 22 = 22 If (18 - 22) = 1 = -1 If (18 - 1) = 1 = 1 If
-7
-31
24
(((4 * 7) - 5) + (1 * 4)) =
(28 - 5) = 23 = 22 = 22 = 22 (22) = 22 = 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22) =
(28 - 5) = 23 = 18.7 = 18.7.
-33
-35
2
(((9 * 3) * (1 * 1)) * (7 + 4)) =
((27 * (1 * 1)) * (7 + 4)) = ((27 * 1) * (7 + 4)) = ((27 * 1) * 9) = (27 * 9) = 27 rug was 27 - 9. 27 - 9 = 6 = 27 - 9. 6 = 27 = 6 = 27 = 27 = 27
(27 * (1 * 1)) = (27 * 1) = 27 (27 * 1) = 27 (27) = 27 28 (27) = 27 3 (27) = 27 3 2 3 5 7 6 7 7 7 7 7 7 7 7
-18
-44
26
(((6 + 8) + 4) * ((6 * 3) - (5 * 9))) =
(14 * (4 - (5 * 9))) = (14 * (4 - 45)) = (14 * -35) = -70 = -70 = -70 (14 * -35) = -70 = -70 (14 * -35) = -70 (14 * -35) = -70 -70
(14 + (6 * 3)) = (14 + 18) = 34 = 62 = 62 (34)/34 = 6 (34) = 6? 30 (34*(1 + 6) + 1) = (34 (1 + 1)) = (34 + 1) = 35 (34 + 1) = 35 35
-77
-105
28
(((9 * 1) * 1) + ((4 + 5) + 6)) =
(9 * 1) + ((4 + 5) + 6) = (9 + (4 + 6)) = (9 + 10) = 19 = 29 = 29 (9 + 10) + (19 + 6) = 29 = 29 (19 + 19) + (34 + 6) = 29 Showing 8 + (
(9 * 1) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (9 * 1) = 9 = 9 = 9 = 9 = 9) = 9 = 9 = 9 =
-24
-57
33
(((4 + 9) - 1) + 5) =
((13 - 1) + 5) = (12 + 5) = 17 (12 + 5) = 23 (12 + 13) = 31 (23) = 38 (23) = 38 (86) = 84 (86) = 86 (86) = 86 (86) = 86 (86) = 86
(13 - 1) = 12 = 11 = 11 = 11 = 11 = 33 = 33 (1 + 5) = 14 = 14 = 14 = 14 = 7 (1 + 5) = 14 = 14 = 14 = 7 (1 + 5) = 14 = 14 = 7 (1 + 5) = 14 =
-8
-13
5
(((1 + 9) * (7 - 3)) - 7) =
((10 * (7 - 3)) - 7) = ((10 * 4) - 7) = (40 - 7) = 27 = 22 = 22 ((20 - 7) - 7) = (27 - 7) = 20 = 17 ((20 - 7) - 7) = (21 - 7) = 12) = 11 2
(8 * (7 - 3)) = (8 * 4) = 32 = 32 (8 * 4) = 128 (28 = 128) = 136 (128 = 136) = 228 16 (48 + 120) + 88 252 (48 + 88) = 256 56 (4872 * 8) 48
-2
-32
30
(((2 - 8) - 5) * 9) =
((-6 - 5) * 9) = (11 * 9) = 99 = 99 = 99 = 99 = 99 (11 * 9) = 99 = 99 = 99 1) = 99 = 99 2) = 99 = 99 3) = 99 = 99 4) = 99 = 99 5
(<8 - 5) * 9) = (5 * 9) = 45 = 45 = 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
-3
-12
9
(((5 * 5) + (6 - 5)) * ((7 + 5) + (7 - 8))) =
((25 + (6 - 5)) * ((7 + 5) + (7 - 8))) = ((25 + 1) * ((7 + 5) + (7 - 8))) = ((25 + 1) * (2 + (7 - 8))) = ((25 + 1) * (2 * -1)) = b + (24 *
((25 + (6 - 5)) * ((7 + 5) + (7 - 8))) = ((25 + 3) * ((7 + 5) + (7 - 8))) = (25 * ((7 - 5) + (7 - 8))) = (1975 * (7 + (7 - 8))) = (1975 * -1) =
-27
-44
17
(((6 * 4) * (2 - 3)) - 1) =
(24 * (2 - 3)) = (24 * -1) = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24 = -24) = -16 = -16 = -24
(24 * (2 - 3)) = (24 * -1) = -24 = -24 = -24 for 1 (24 * -1) = -24 = -24 for 1 (24 = -24) = 0 for 0
-20
-32
12
(((7 + 8) - (6 + 4)) * (8 - (6 * 5))) =
((15 - (6 + 4)) * (8 - (6 * 5))) = ((15 - 10) * (8 - (6 * 5))) = ((15 - 10) * (8 - 30)) = (5 * (8 - 30)) = (5 * -22) = -110 = -110 = -110 = -10
((15 - (6 + 4)) * (8 - (6 * 5))) = ((15 - 10) * (8 - (6 * 5))) = ((15 - 10) * (8 - 30)) = ((15 - 10) * 22) = (5 * 22) = 110 + 22 = 278 = 278 = 278 = 278 = 28
0
-21
21
(((8 * 4) * 3) - 3) =
((32 * 3) - 3) = (96 - 3) = 93 = 93 = 93 = 9 = 9 = 9 (96 - 3) = 93 = 93 = 9 (93 + 9) = 96 = 96 (93 + 9) = 94 = 94 (94 + 9) = 94 (
(32 * 3) = 96. 72 (32 * 3) = 96 72 (32 * 3) = 90 72 (32 * 3) = 90 102 (32 * 3) = 90 108 (32 * 3) = 90 108 (32 * 3) = 90 108 (32
0
-23
23
(((9 + 8) + 2) - ((8 + 7) + 9)) =
(17 - ((8 + 7) + 9)) = (17 - 15) = 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
(17 + 2) = 21) = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 23) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33) = 33)
-45
-63
18
(((6 * 3) * (9 - 9)) * ((7 - 3) - 3)) =
((18 * (9 - 9)) * ((7 - 3) - 3)) = ((18 * 2) * ((7 - 3) - 3)) = (18 * (7 - 3)) = (18 * 4) = 72 = 96 (72 - 72) = 0 = 0 = 0 0 (32 - 72) =
(18 * ((9 - 9) - 3)) = (18 * (0 - 3)) = (18 * -1) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18...) = 0 =
-34
-60
26
(((3 - 1) * (3 - 5)) + (1 + (7 - 6))) =
((2 * (3 - 5)) + (1 + (7 - 6))) = ((2 * -2) + (1 + (7 - 6))) = ((2 * -2) + (1 + 1)) = ((2 * -2) + 2) = (-4 + 2) = -2 = -2 = -2 = -
(2 * (3 - 5)) + (1 + (7 - 6))) = (2 * -2) = -4 = -4 = -4 = -4 = -4 (2 * -2) = -4 = -4 = -4 0 (2 * -2) = -4 = -4 -4
-8
-65
57
(((7 + 8) + 3) - (8 * (9 - 3))) =
((15 + 3) - (8 * (9 - 3))) = ((15 + 3) - (8 * 6)) = (18 - (8 * 6)) = (18 - 48) = -30 = -30 = -30 = -30 = -30 = -30 = -30 0 = -30 2 = -30
(15 + 3) = 18 = 21 = 18 = 18 = 18 = 18 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0
-62
62
(((4 + 3) + 1) + (8 + (5 + 5))) =
((7 + 1) + (8 + (5 + 5))) = ((7 + 1) + (8 + 10)) = (8 + (8 + 10)) = (8 + 18) = 26 = 34 (8 + AS) = (8 + 18) = 26 = 34 (8 + 18) = 26 (8 +
(7 + (1 + (5 + 5))) = (7 + (1 + 10)) = (7 + 11) = 18 = 19 = 18 = 18 (18 - 18) = 2 = 2 2 (2 + 2) = 4 6 (2 + 2) = 4 6 (2 + 2) =
0
-30
30
(((9 + 9) * 6) - 8) =
(18 * 6) = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18.8 = 18. (18 + 18) = 42 = 66 = 66 (18 + 18) = 66 2 =
(18 * 6) = 186. 18 ((6 * 6) - 8) = (72 - 8) = 64. 56 (6 + 8) = (14) + (14 - 14) = 0 = 0 = 0 = 0 = 0 = 0 =0 = 0 = 0 = 0 0 = 0 = 0
-14
-26
12
(((3 + 1) * (6 + 3)) * 7) =
((3 * ( 6 + 3)) * 7) = ((3 * 9) * 7) = (27 * 7) = 84 = 102 = 114 (84 = 102) = 174 = 198 (84 = 198) = 174 (84 = 174) = 174 (84 = 174) = 174 (84 = 174) = 174
(4 * (6 + 3)) = (4 * 9) = 36 = 36 = 36 (4 * 9) = 72 = 72 (4 * 9) = 72 0 (4 * 9) = 72 72 (4 * 9) = 72 72 (4 * 9) = 72 72 (4
-8
-21
13
(((8 + 5) - 1) * ((2 * 3) * (7 + 7))) =
((13 - 1) * ((2 * 3) * (7 + 7))) = ((13 - 1) * (6 * (7 + 7))) = (13 * (6 * 14)) = (13 * 142) = 169 = 223 = 310 = 310 (13 * 142) = 139 = 213 = 443 (13 *
((9 - 1) * ((2 * 3) * (7 + 7))) = ((9 - 1) * (6 * (7 + 7))) = (9 * (6 * 7)) = (9 * 42) = 162 = 174 = 382 = 382 (18 * 42) = 54 = 69 = 138 = 198 = 39
-25
-34
9
(((2 + 1) + (5 + 5)) * 4) =
((3 + (5 + 5)) * 4) = ((3 + 10) * 4) = (13 * 4) = 52 = 52 = 52 (52 + 4) = 56 = 56 8 (52 + 61) = 97 99 (52 + 46) = 78 134 (52 - 46) = 8 2
(3 + (5 + 5)) = (3 + 10) = 13 = 19 = 19 (13 + 13) = 38 = 53 (39 + 38) = 61 (39 + 39) = 124 (39 + 34) = 109 (73 - 34) = 57 29 (39 + 34) = 65
0
-20
20
(((2 + 9) - (6 * 4)) - (6 + (8 * 7))) =
((11 - (6 * 4)) - (6 + (8 * 7))) = ((11 - 24) - (6 + (8 * 7))) = ((11 - 24) - (6 + 56)) = (-15 - (6 + 56)) = (-15 - 62) = -77 = -77 —7 7 = 77
_______ - (6 - (6 * 7)) - (6 + (8 * 7))) = _______ - (6 - 42) - (6 + 56)) = (54 - (6 + 56)) = (54 - 66) - (54 - 62) = -6 - 6 = -6 = -6 = -6 = -6 = -
-6
-47
41
(((1 * 2) + (5 + 3)) * 4) =
((2 + (5 + 3)) * 4) = ((2 + 8) * 4) = (10 * 4) = 40 = 40 = 40 = 40 (10 * 4) = 40 = 40 (20 * 4) = 40 8 8 8 8 8 8
(2 + (5 + 3)) = (2 + 8) = 10 = 12 = 12 (2 + 8) = 10 = 12 (2 + 8) = 12 (2 + 10) = 12 (2 + 8) = 12 (2 + 12) = 16 18 (2 + 12) = 11
0
-20
20
(((9 * 2) - 4) - 9) =
(18 - 4) = 14 + 4 = 18 (18 - 4) = 14 + 4 = 18 18 (18 + 4) = 22 26 ((11 - 6) - 7) = (7 - 7) = 1 -2 (6 + 1) = 7 7 (6 - 7) = -1
(18 - 4) = 13 = 9. 7 (9 - 9) = 6. 9 (9 - 6) = 3 3 (9 - 6) = 3 3 (3 - 3) = 0 0 (3 - 3) = 0 0 (3 - 3) = 0 0
-20
-22
2
(((3 * 3) - 5) * ((6 - 2) - 2)) =
(9 - 5) = 4 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
(9 - 5) = 4 = 3 (9 - 5) = 2 = 2 (2 - 2) = (0 = 2) = 2 = 2 0 = 2 = 2 0 = 2 0 = 2 0 = 2 0 = 2 0 = 2 0 = 2 0 = 2 0 = 2
-57
-58
1
(((7 - 6) - 4) - ((4 - 7) * 8)) =
(1 - (4 * 8)) + ((4 - 7) * 8)) = (1 - 32) = -31 = -31 = -31 = -31 = -31 = -31 = -31 = -31 = -31 = -31 = 0 = -31 = -31 = 0 = -1 = 0 = -1
(1 - 4) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (-3) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (3) = -
-44
-59
15
(((1 * 2) - 1) - 9) =
(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 = 1=1 = 1 =
(2 - 1) = 1 = 1 = 1 (2 - 1) = 1 = 1
-16
-21
5
(((2 - 8) - 9) * (3 - (4 * 2))) =
((-6 - 9) * (3 - (4 * 2))) = ((-6 - 9) * (3 - 8)) = (15 * (3 - 8)) = (15 * -5) = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -
(5 - 9) * (3 - (4 * 2))) = (5 * (3 - (4 * 2))) = (5 * (3 - 8)) = (5 * -4) * (3 - 8)) = (5 * -4) * -4 = -4 = -4 = -4 = -4 Discussion (5
-3
-40
37
(((1 * 8) * 9) - (2 - 4)) =
((8 * 9) - (2 - 4)) = (8 - (2 - 4)) = (8 - -2) = 10 = 14 = 14 = 14 (8 - -2) = 10 (10 - -2) = 12 22 (8 - -2) = 11 17 (8 - -2)
(8 * 9) - (2 - 4)) = (8 * 9) - (2 - 4) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 = -8 = - (
-10
-17
7
(((3 + 5) + 5) * 3) =
((8 + 5) * 3) = (13 * 3) = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39) = (13 * 3) = 39 = 39 = 39 = 39 = 39 = 39 = 39) = (13 * 3) = 39
((8 + 5) * 3) = (13 * 3) = 397 (397 + -13) = 366 (366 + -13) = 349 (343 + -13) = 307 35 (353 + -13) = 324 491 (107 + 7) = 126 139 (353 + -1
0
-12
12
(((5 + 6) * 5) + ((9 - 6) - (8 + 5))) =
(11 * 5) + ((9 - 6) - (8 + 5))) = (11 + ((9 - 6) - (8 + 5))) = (11 * 5) + (3 - (8 + 5))) = (11 + (3 - (8 + 5))) = (11 + (3 - 13)) = (11 + -10
(11 * 5) = 55 = 55 (55) = 55 2 (55) = 55 9 8 6 7 6 7 6 7 6 6 6 6 6 6 6
-43
-95
52
(((5 * 2) * (2 * 4)) - 4) =
(10 * (2 * 4)) - 4 = (10 * 8) = 80 = 80 = 80 = 80 (80 + 80) = 160 = 240 = 320 = 320 (80 = 240) = 240 = 420 (2807 - 2402) = 281 (80 + 290) =446 = 653 (2807 -
(10 * (2 * 4)) = (10 * 8) = 80 = 80 = 80 = 40 = 40 = 40 See also 5 8 3 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
-16
-20
4
(((5 - 4) - 6) * 6) =
((1 - 6) * 6) = (-5 * 6) = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30) = (30 = -30) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0
(1 - 6) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = (1 - 5) = -5 = -
0
-16
16
(((7 * 4) + (4 + 4)) - (4 * (8 + 6))) =
((28 + (4 + 4)) - (4 * (8 + 6))) = ((28 + 8) - (4 * (8 + 6))) = (36 - (4 * (8 + 6))) = ((28 + 8) - 14) = (36 - 14) = 26, 10 = 26 = 26 = 26 =
((28 + (4 + 4)) - (4 * (8 + 6))) = ((28 + (4 + 4)) - (4 * (8 + 6))) = ((28 + 8) - (4 * (8 + 6))) = ((28 + 8) - (4 * 14)) = (44 - (4 * 14)) = (
-27
-38
11
(((7 + 6) * (2 + 5)) * ((9 * 9) - 4)) =
Based on (7 * (2 + 5)) = hard (2 * (2 + 5)) = hard (2 * 7) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 =
(13 * (2 + 5)) = (13 * 7) = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91 = 91
-77
-80
3
(((3 * 5) + (3 * 3)) + 5) =
( 15 + (3 * 3)) = (15 + 9) = 24 = 36 = 36 = 36 = 36 = 36 = 36 (36 + 30) = 66 = 60 = 66 (66 + 60) = 126 = 186 (66 + 60) = 186 (66 + 6) = 186 (66 + 66) =
(15 + (3 * 3)) = (15 + 9) = 24 = 3 (24 = 3) = 21 (21) = 21 (21) = 21 (21) = 30 (30) = 30 9 (21) = 30 9 (21) = 30 9 (90) = 90
-20
-21
1
(((5 + 5) * (5 + 4)) - ((5 - 6) - 5)) =
(10 * (5 + 4)) = (10 * 9) = 90 = 90 = 90 = 90 = 90 (90 + 90) = 195 = 195 (195 - 195) = 0 (0 + 1) = 1 1 (0 + 1) = 1 1 (0 + 1) = 1 1 (
(10 * (5 + 4)) = (10 * 9) = 90 = 90 = 90 = 270 = 270 = 270 (90 + 90) = 30 = 60 = 90 (90 + 90) = 30 = 60 (90 + 90) = 50 (90 + 90) = 50 (90 = 50) = 50 (
-77
-79
2
(((6 * 7) - 5) - ((1 - 9) * (8 - 5))) =
((42 - 5) - ((1 - 9) * (8 - 5))) = ((42 - 5) - (-8 * (8 - 5))) = ((42 - 5) - (-8 * 3)) = (37 - (-8 * 3)) = (37 - 24) = 13 = 13 = 13 4 (1 - (
(42 - 5) = 37 = 22 = 21.5 = 21.5 (7 - 37) = -30 = -29 = -29 (7 - 39) = -32 = -30 (7 - 29) = -22 (28 - 22) = 14 6 (7 - 29) = -22
-3
-96
93
(((2 * 8) + 3) - ((3 * 8) * 2)) =
(16 + 3) = 19 (16 + 3) = 21 (19) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 1 (21) = 21 (21) = 21 1 (1 + 3) = 4 4 (1
(16 + 3) = 19 = 22 = 22 = 22 = 22 = 22 (16 + 3) = 23 = 25 = 28 (16 + 3) = 23 = 26 (16 + 3) = 23 (16 + 3) = 23 (26 + 3) = 29 (26 +
-61
-64
3
(((1 * 2) - 2) * (8 - (2 + 3))) =
((2 - 2) * (8 - (2 + 3))) = ((2 - 2) * (8 - 5)) = (0 * (8 - 5)) = (0 * 3) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
((2 - 2) * (8 - (2 + 3))) = ((2 - 2) * (8 - 5)) = (-1 * (8 - 5)) = (-1 * 3) = -3 = -3 = -3 (3 - 3) = 0 = 0 (3 + 0) = 0 = 0
0
-6
6