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
(((6 * 5) * (9 + 5)) + (8 * (5 * 4))) =
((30 * (9 + 5)) + (8 * (5 * 4))) = ((30 * 14) + (8 * (5 * 4))) = ((30 * 14) + (8 * 20)) = (210 + (8 * 20)) = (210 + 320) = 550 = 1022 = 1022 = 1022 = 10
((30 * (9 + 5)) + (8 * (5 * 4))) = ((30 * 14) + (8 * (5 * 4))) = ((30 * 14) + (8 * 20)) = (210 + (8 * 20)) = (210 + 80) = 290 = 545 = 95 = 95 = 95 = 95
-7
-8
1
(((3 - 1) - (8 * 6)) * ((2 + 6) * (7 + 6))) =
((2 - (8 * 6)) * ((2 + 6) * (7 + 6))) = ((2 - 48) * ((2 + 6) * (7 + 6))) = ((2 - 48) * (8 * (7 + 6))) = ((2 - 48) * (8 * 13)) = (40 * (8 * 13
((2 - (8 * 6)) * ((2 + 6) * (7 + 6))) = (2 * ((2 + 6) * (7 + 6)) * ((2 + 6) * (7 + 6))) = ((2 - 36) * ((2 + 6) * (7 + 6))) = ((2 - 36)
-25
-77
52
(((4 * 2) + (6 * 5)) + (2 + 3)) =
(8 + (6 * 5)) = (8 + 30) = 38 = 44 radiation (8 + 39) = 49 = 49 (8 + 30) = 44 = 44 (8 + 44) = 44 (44) + 34 = 58 (4 + 54) = 54 (4 + 54) =
(8 + (6 * 5)) = (8 + 30) = 38 = 44 = 44 = 44 (8 - 30) = -22 = -22 -2 = -22 -2 = -22 -2 = -22 -22 -2 = -22 - 22 -22 -22 -22
-45
-46
1
(((8 - 6) * 4) * 7) =
(2 * 4) = 8 Flag (2 * 4) = 8 8 (2 * 4) = 8 8 (2 * 4) = 8 8 (2 * 4) = 8 8 (2 * 4) = 8 8 (2 * 4) = 8 8 (2 * 4)
(2 * 7) = 14. 2 (2 * 7) = 14. 2 14 (2 * 7) = 14. 2 14 (2 * 7) = 14 14 (2 * 7) = 14 28 (2 * 7) = 14 14 (2 * 7) = 14 14
-19
-23
4
(((6 + 9) - 4) + ((4 - 9) - (7 - 1))) =
((15 - 4) + ((4 - 9) - (7 - 1))) = ((15 - 4) + (-5 - (7 - 1))) = (11 + (-5 - (7 - 1))) = (11 + (-5 - 6)) = (11 + -11) = 0 = 0 = 0 = 0 = 0 =
((13 - 4) + ((4 - 9) - (7 - 1))) = ( ((13 - 4) + (-5 - (7 - 1))) = (13 + (-5 - (7 - 1)) + (7 - (7 - 1))) = (13 + (-5 - 6) + (7 - (7 - 1))) = (
-11
-51
40
(((5 - 2) - (5 * 5)) - (5 - 8)) =
(3 - (5 * 5)) - (5 - 8) = (3 - 25) = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22 = -22) = -22 = -22 = -22 = -22 = -22 =
(3 - (5 * 5)) = (3 - 25) = -22 = -22 = -22 (3 - 25) = -22 = -22 (3 - 22) = -22 (21 - 22) (3 - 22) = -17 - 19 (3 - 22) = -22 -
-38
-56
18
(((8 + 7) * (5 + 2)) + ((8 + 1) + 8)) =
((15 * (5 + 2)) + ((8 + 1) + 8)) = ((15 * 7) + ((8 + 1) + 8)) = ((15 * 7) + (9 + 8)) = (15 + (9 + 8)) = (15 + 17) = 32 = 47 = 603 (42 - 57) = -
(15 * (5 + 2)) = (15 * 7) = 75 = 75 = 75 = 75 = 75 = 75 = 45 = 45 = 45 (75 = 75) = 45 = 45 = 45 = 45 = 30 (45 = 60) = 45 = 45 = 45 = 35 (45 = 45) = 5 =
-4
-81
77
(((6 * 6) + (6 - 4)) - 1) =
(36 + (6 - 4)) = (36 + 2) = 38 (36 + 2) = 38 (38) = 38 (38) = 38 (38) = 38 (38) = 38 (38) = 38 (38) = 38 (38) = 38 (38) = 38 (
(36 + (6 - 4)) = (36 + 2) = 38 = 38. (38 + 2) = 40 = 42. (42 + 2) = 44 = 46. (46 - 42) = 46 = 46. (46 - 46) = 4 = 46. (46 - 46) = 0. (0. (0. (
-22
-28
6
(((5 + 8) - 5) * (5 - 9)) =
((13 - 5) * (5 - 9)) = ((13 - 5) * -4) = (8 * -4) = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32
((13 - 5) * (5 - 9)) = (8 * (5 - 9)) = (8 * -4) = -32 = -32 = -32 = -32 = -32 = -32 (8 * -4) = -32 = -32 = -32 = -32 (8 * -4)
0
-9
9
(((6 - 9) * 1) + ((8 * 8) + 6)) =
((-3 * 1) + ((8 * 8) + 6)) = ((-3 * 1) + (64 + 6)) = (3 + (64 + 6)) = (3 + 70) = 73 = 73 = 73 (1 + 79) = 80 = 80 (1 + 70) = 80 (1
(3 * 1) + ((8 * 8) + 6)) = (3 + ((8 * 8) + 6)) = (3 + 128) = 131 = 131 = 31) = 131 = 131 = 131 = 31) = 131 = 161) = 131 = 161) = 131 = 161) = 161) = 161) = 121) =
-4
-32
28
(((6 + 5) - (6 * 7)) * (6 * 7)) =
((11 - (6 * 7)) * (6 * 7)) = ((11 - 42) * (6 * 7)) = ((11 - 42) * 42) = (-31 * 42) = -252 = -252 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -
((11 - (6 * 7)) * (6 * 7)) = ((11 - 42) * (6 * 7)) = (41 * (6 * 7)) = (41 * 42) = 102 = 102 = 102 = 102 = 102 = 102 = 42 = 42 = 42 = 42 =42 = 52 = 52 = 52 = 52
-6
-14
8
(((4 - 5) + 2) + ((4 + 8) * (4 + 4))) =
((-1 + 2) + ((4 + 8) * (4 + 4))) = ((-1 + 2) + (12 * (4 + 4))) = ((-1 + 2) + (12 * 8)) = (1 + (12 * 8)) = (1 + 96) = 97 = 97 (1 + 97)
((-1 + 2) + ((4 + 8) * (4 + 4))) = (1 + ((4 + 8) * (4 + 4))) = (1 + (12 * (4 + 4))) = (1 + 32) = 33 = 33 = 33 = 33 = 33 = 33 = 33 Interaction (7)
0
-36
36
(((4 - 5) + 7) - 6) =
((-1 + 7) - 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 = 0 = 0 = 0 = 0 =
((-1 + 7) - 6) = (-6 - 6) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = (12 + -12) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
0
-4
4
(((1 * 3) + 6) + 7) =
(3 + 6) = 9 = 9 = 9 = 9 (9 = 9) = 6 (6) = 6 (6) = 6 (6) = 6 (6) = 6 (6) = 6 (6) = 6 (6) = 6 (6) = 6 (6)
(3 + 6) = 9.3 = 9.3 (3 + 6) = 9.3 = 9.3 (3 + 9) = 12 (6 + 9) = 27 27 ((3 + 9) + 7) = (12 + 7) = 29 23 ((3 + 9) + 7)
-14
-20
6
(((4 + 1) * (7 - 3)) * ((2 + 8) - (7 - 8))) =
((5 * (7 - 3)) * ((2 + 8) - (7 - 8))) = ((4 * 4) * ((2 + 8) - (7 - 8))) = ((4 * 4) * (6 - (7 - 8))) = (4 * (4 * (6 - 8)) * ((6 - -1)
((5 * (7 - 3)) * ((2 + 8) - (7 - 8))) = ((5 * 4) * ((2 + 8) - (7 - 8))) = (5 * (4 * ((2 + 8) - (7 - 8))) = (5 * (4 * (2 - (7 - 8))) =
-47
-49
2
(((2 + 6) * (4 - 9)) * (5 + 3)) =
(8 * (4 - 9)) = (8 * -5) = (8 + -5) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = (8 + -5) = 3 = 3 = 3 = 3 = 3 = 3 (8 + 5) = 3 = 3 = 3 = 3 0
(8 * (4 - 9)) = (8 * -5) = -40 = -40 = -40 = -40 (8 - 5) = linebackers (8 + 5) = (15 * -5) = -75 = -75 (8 - 5) = (15 + -75) = -65 (
-46
-54
8
(((9 - 2) - 1) + (4 + 9)) =
((7 - 1) + (4 + 9)) = ((7 - 1) + 13) = (6 + 13) = 17 = 22 = 22 = 22) = 22 = 22 (22 - 22) = 0 = 0 = 0 = 0 = 0 0 (2 - 5) = -3 = -1 = -1
(7 - 1) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 The main thing with being left out that I don�((9 - 1) + (1 - 2))
-1
-35
34
(((2 * 1) + 4) + 2) =
((2 + 4) + 2) = (6 + 2) = 8 = 10 = 10 = 10 = 10 = 10 The following list shows how scores worked in H5: 1 - 2 = (6 + 2) = 8 = 8 = 10 4 - 5 = (6 + 2) = 8 = 8
(2 + 4) = 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 = 0 = 0 =0 = 0 = 0
0
-11
11
(((8 - 3) - (4 + 6)) * 9) =
((5 - (4 + 6)) * 9) = ((5 - 10) * 9) = (-5 * 9) = -45 = -45 = -45 = -45 = -45 = -45 = -45) = (45 = 45) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(5 - (4 + 6)) = (5 - 10) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -
0
-20
20
(((2 + 7) + 7) + 8) =
(9 + 7) = 16 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 27 = 21 = 27 = 21 = 27 = 27 = 27 = 27 = 27 = 21 = 21) = 27 = 9 + 7 = 22 = 22 = 22 (9 + 7) =
(9 + 8) = 21 = 31. 5 (9 - 8) = 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 =
-13
-23
10
(((7 * 4) + 9) * 4) =
(28 + 9) = 43 (34 - 43) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9) = (9 = -9) = -9 = -9 = -
(28 * 4) = 112 (28 * 4) = 112 (28 * 4) = 88 92 (28 * 4) = 92 188 (28 * 4) = 92 96 (28 * 4) = 92 128 (28 * 4) = 92 88 (28 * 4) = 92
-16
-20
4
(((4 + 8) * 5) * 8) =
(12 * 5) = 60 = 30 = 30 = 30 (60) = 60 = 30 = 30 0 = 90 90 = 90 0 = 90 0 = 90 0 = 90 0 = 90 0 = 90 0 = 90 0 = 90 0 = 90
(12 * 5) = 60 = 60. 60 (60 + 7) = 73 73 (60 + 27) = 87 111 (60 + 27) = 87 87 (60 + 27) = 87 87 (36 - 87) = -57 -75 (36 - 87) = -51
-14
-23
9
(((5 - 9) + 1) + 9) =
(4 + 9) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13) = (3 + 13) = 14 = 15 = 13 = 13 = 13) = (3 + 10) = 13 = 13) = 13) = 13) = 13) = 13) =
(4 + 9) = 15 = 19 = 19 = 19 = 19 = 19 = 19 (19 + 18) = 29 = 40 (19 + 19) = 29 (29 + 9) = 44 77 (19 + 19) = 44 55 (19 + 19) = 44 75 (19 + 19) =
-16
-17
1
(((2 - 2) - 1) - ((7 - 5) - 5)) =
((0 - 1) - ((7 - 5) - 5)) = ((0 - 1) - (2 - 5)) = (-1 - (2 - 5)) = (-1 - -3) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
(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
-56
55
(((2 - 5) - (8 - 7)) + 9) =
((-3 - (8 - 7)) + 9) = ((-3 - 1) + 9) = (4 + 9) = 13 + 9 = 22 (4 + 9) = 22 + 13 = 37 (8 + 23) = 41 + 27 (41 + 27) = 68 (31 + 27) = 68 (
(3 - (8 - 7)) = (3 - 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
-7
-23
16
(((8 + 1) * 3) + 5) =
(9 + 5) = 14 = 19 = 19 = 19 (19) = 19 + 19 (19) = 19 (19) = 19 (19) = 19 (19) = 19 (19) = 19 (19) = 19 (19) = may (19) = May (19) =
(9 * 3) = 27. 9 (9 * 3) = 27. 27 (9 * 3) = 27. 27 (9 * 3) = 27. 27 (9 * 3) = 27. 27 (9 * 3) = 27 27 (9 * 3) = 27 27
-16
-22
6
(((8 - 1) + (6 * 5)) - (4 * 1)) =
((7 + (6 * 5)) - (4 * 1)) = ((7 + 30) - (4 * 1)) = ((7 + 30) - 4) = (37 - 4) = 33 = 29 (27 - 4) = 23 (27 - 4) = 23 (27 - 23) = 7 4 (
((7 + (6 * 5)) - (4 * 1)) = ((7 + 30) - (4 * 1)) = ((7 + 30) - 4) = (37 - 4) = 31 = 25 (31 - 4) = 27 (31) = 27 (31) = 27 ( query + 24) = 27
0
-1
1
(((8 * 5) + 2) - 7) =
(40 + 2) = 42 = 42 = 42 (42 + 2) = 44 (42) = 42 (42) = 43 (42) = 43 (43) = 43 (43) = 43 (43) = 43 0 (42) = 43 43 (43) = 43 0
(40 + 2) = 42 = 42. 42 (40 + 2) = 42 = 44. 42 (40 + 2) = 42. 42 (40 + 2) = 42 46 (40 + 2) = 42 46 (40 + 2) = 42 42 (42 - 42) = 7
-14
-24
10
(((2 * 9) - 3) - (8 * 7)) =
(18 - 3) = 15.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3 = 14.3
(18 - 3) = 15 = 12 = 12 = 12 = 12 = 12 = 12 = (18 - 3) = 15 = 13 = 13 = 13 (18 - 3) = 12 = 9 (12 = 9) = 9 (12 - 9) = 3 (9 + 9) = 24 15 (9
-37
-39
2
(((8 + 7) + (7 - 7)) - (7 - (9 + 5))) =
( 15 + (7 - 7)) - (7 - (9 + 5))) = (15 + (7 - 7)) - (7 - (9 + 5))) = (15 + (7 - 7)) - (7 - 14)) = (15 + (7 - 7)) - (7 - 14)) = (15 + 6) - (
(15 + (7 - 7)) = (15 + 0) = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 =
-36
-77
41
(((9 + 9) - (5 + 9)) * 1) =
((18 - (5 + 9)) * 1) = ((18 - 14) * 1) = (4 * 1) = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 42 = 4 = 4 = 4 = 4 = 4 = 4
(18 - (5 + 9)) = (18 - 14) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
0
-20
20
(((4 + 5) + (7 - 7)) - ((6 * 9) - (1 - 4))) =
((9 + (7 - 7)) - ((6 * 9) - (1 - 4))) = ((9 + 0) - ((6 * 9) - (1 - 4))) = ((9 + 0) - (60 - (1 - 4)))) = (9 - (60 - (1 - 4))) = (9 -
(9 + (7 - 7)) = (9 + 0) = 9, upon which we can see that she is 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
-37
-113
76
(((1 + 3) + 8) - (9 * 1)) =
(4 + (8 * 1)) = (4 + 8) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = (12 + 12) = 36 = 72 = 72 (72 - 72) = 0 (0 + 0) = 0 (0 + 0) = 0 0 (0 +
(4 + 8) = 12 = 16 = 16 = 16 = 16 = 16 = 16 = 16 (4 + 8) = (12 = 16) = 24 = 28 (12 + 24) = 36 = 48 (12 + 24) = 36 32 32 4 4 2
-21
-34
13
(((9 + 9) - 6) - ((9 - 8) - 3)) =
((18 - 6) - ((9 - 8) - 3)) = ((18 - 6) - (1 - 3)) = (12 - (1 - 3)) = (12 - -2) = 14 = 16 = 16 4 ((12 - 6) - (1 - 3)) = (6 - -2) = 8 8
(18 - 6) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 (18 - 6) = 12 + 6 = 18 (18 + 6) = 24 (18 - 6) = 16 Let l(t) = -t - 44. Let d(n) be the first derivative of -n**
0
-57
57
(((8 - 6) * 5) - 9) =
(2 * 5) = 10 = 10 + 5. 5 (2 * 5) = 10 = 10. 10 Here are 2 + 10. 12 (2 * 10) = 10 = 10. 10 (2 * 10) = 10. 10 (2 * 10) = 10. 20 (2
(2 * 5) = 10 - 9.1. 1 (2 * 5) = 10 - 9. 1 1 (2 * 5) = 10 - 9. 1 1 (2 * 5) = 10 - 9. 1 1 (2 * 5) = 10 - 9. 1 1 (2 *
-25
-30
5
(((8 - 7) + (3 + 4)) * (8 - (3 + 5))) =
(1 + (3 + 4) * (8 - (3 + 5))) = ((1 + 7) * (8 - (3 + 5))) = (1 + 11 = 12) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = (1 + 11) * (8 - (8 - (3 + 5
(1 + (3 + 4)) = (4 + 7) = 11 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (4 + 7) = (11 + (3 + 4)) = (11 + 7) = 18
-37
-77
40
(((5 + 3) * 2) * (8 + 5)) =
((8 * 2) * (8 + 5)) = (16 * (8 + 5)) = (16 * 13) = 416 = 416 = 416 = 416 = 668 = 668 = 4 (416 = 416) = 416 = 476 = 476 = 476 = 476 (416 = 476) = 448 = 448 =
(10 * 2) = 20 = 40 = 40 = 40 = 40
-10
-37
27
(((3 * 6) - (3 + 7)) * 2) =
((18 - (3 + 7)) * 2) = ((18 - 10) * 2) = (8 * 2) = 16 = 32 = 52 = 52 (48 - 19) = 31 = 23 ((48 - 19) + 2) = 29 = 21 (27 + 2) = 29 (27 - 2) = 25
(18 - (3 + 7)) = (18 - 10) = 8 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) =
0
-19
19
(((4 - 7) + (8 - 8)) * (6 + 1)) =
((-1 + (8 - 8)) * (6 + 1)) = ((-1 + 0) * (6 + 1)) = ((-1 + 0) * 7) = (1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 =
(-3 + (8 - 8)) = (-3 + 0) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -2 = -1 = -1 = -1 = -1
-11
-46
35
(((2 + 9) + 4) * 6) =
((13 + 4) * 6) = (17 * 6) = 102 = 6 (6) = 6) = 6 = 6 = 6) = 6 = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6
(11 + 6) = 17 (17 - 17) = 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
-4
-14
10
(((8 * 3) - (3 - 1)) + (4 + 5)) =
((24 - (3 - 1)) + (4 + 5)) = hematically (24 - 2) = (26 - 2) = 24 = 24 = 24 (24 - 2) = 26 = 26 (24 - 2) = 26 (26 - 2) = 28 (26 - 22) = 4 2 (26
(24 - (3 - 1)) = (24 - 2) = 22 = 22 = 22 = 22 = 22 (22 - 2) = 22 = 22 (22) = 22 (22) + 22 (22) = 22 (22) = 22 (22) = 22 (22) = 22 (22
-28
-44
16
(((2 + 2) - 8) - ((2 + 3) * 6)) =
((4 - 8) - ((2 + 3) * 6)) = ((4 - 8) - (5 * 6)) = (-4 - (5 * 6)) = (-4 - 30) = -34 = -34 = -34 = -34 (34 + 33) = 69 = 99 = 180 (69 - 90) = -21
(6 - (8 * 6)) - ((2 + 3) * 6) = (6 - 24) - (22 * 6) = (6 - 22) = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 (6 - 22) -
0
-37
37
(((4 - 8) * (7 * 5)) * (8 - 3)) =
((-4 * (7 * 5)) / (8 - 3)) = ((-4 * 35) * (8 - 3)) = ((-4 * 35) * 5) = (-140 * 5) = -700 = -700 = -700 = -700 = -700 = 700 = 700 = 700 = 700 = 700 = 755 = 7
(-4 * (7 * 5)) = (-4 * 35) = (140 + 70) = 210 = 250 = 50 = 50 (70 + 70) = 105 = 205 85 (70 + 70) = 105 105 (70 + 70) = 210 35 (70 + 70) = 105 105
-1
-48
47
(((2 - 6) * 4) - 4) =
((-4 * 4) - 4) = (-16 - 4) = -20 = -20 = -20 = -20 = -20 = -20 = -20 (20 - 20) = 0 = 0 = 0 0 = 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0
(4 * 4) = 16 * 4 = 16 * 4 = 16 * 4 = 16 * 4 (16 * 4) = 64 = 64 16 (16 * 4) = 64 64 (16 * 4) 64 (16 * 4) 64 8 (16 * 4) 64 32 4
0
-23
23
(((5 + 8) - (7 + 9)) + (8 - 9)) =
((9 - (7 + 9)) + (8 - 9)) = ((9 - 16) + (8 - 9)) = ((9 - 16) + -1) = (-7 + -1) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 =
((13 - (7 + 9)) + (8 - 9)) = ((13 - 16) + (8 - 9)) = (1 + (8 - 9)) = (1 + -1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =0 = 0 =
-9
-15
6
(((9 + 7) * 7) + ((1 * 6) + (2 + 3))) =
((14 * 7) + ((1 * 6) + (2 + 3))) = ((14 * 7) + (6 + (2 + 3))) = ((14 * 7) + (6 + 5)) = (98 + (6 + 5)) = (98 + 11) = 123 = 153 = 153 = 153 = 153 (98 +
(18 + ((1 * 6) + (2 + 3)))= (18 + (6 + (2 + 3))) = (18 + (6 + 5)) = (18 + 11) = 23 = 46 = 58 (23 = 58) = 47 = 41 (47 = 47) = 47 (47 + 46) = 59
-9
-42
33
(((4 - 8) + 6) + ((4 - 8) + (8 + 1))) =
((-4 + 6) + ((4 - 8) + (8 + 1))) = ((-4 + 6) + (4 + (8 + 1))) = ((-4 + 6) + (4 + 9)) = (2 + (4 + 9)) = (2 + 13) = 15 = 17 = 17 (2 + 13
_________________________________________ (8 + (6 + (4 - 8)) + ((4 - 8) + (8 + 1))) = ________________________________________ _ (8 + -2) = ________________________________________ _ (8 + -2) = ________________________________________ _ (8 + -2) = ________________________________________ _ (8 + -2
-7
-60
53
(((2 + 3) * 8) + ((2 + 5) - 2)) =
(5 * 8) + ((2 + 5) - 2)) = (5 * 8) + (5 - 2) = (5 * 8) = 40 = 40 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(5 * 8) + ((2 + 5) - 2)) = (5 * 8) + (5 - 2)) = (5 * 8) + (5 - 2)) = (5 + (5 - 2)) = (5 + 3) = 8 = 11) = 11) = 11) = 11) = 11) = 11) =
-21
-24
3
(((4 + 8) * 2) * ((6 * 8) + (9 * 5))) =
((12 * 2) * ((6 * 8) + (9 * 5))) = {12 * 2) * (12 + (9 * 5))) = (12 * (12 + 45) * (12 + 25)) = (12 * (12 + 45) * (12 + 25)) = (12 * 63) * (12 + 53)
(12 * ((6 * 8) + (9 * 5))) = (12 * 24) = 288 = 288 = 288 = 288 = 868 = 868 = 868 = 868 = 868 (72 * (648 - 436)) = (72 = 128) = 128 = 128 = 128 = 128 = 128 = 128 (72
-48
-69
21
(((7 - 8) + 6) + (7 + (1 * 3))) =
(-1 + (7 + (1 * 3))) = ( (-1 + 8) + (7 + 3)) = ((1 + 8) + 10) = (9 + 10) = 19 = 29 = 29 (9 + 10) = 29 = 29 (9 + 10) = 29 = 29 (9 + 10
(1 + 6) = 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 = 7 = 7 = 7 =
-16
-60
44
(((3 - 1) + (7 + 8)) - (1 * (5 * 2))) =
((2 + (7 + 8)) - (1 * (5 * 2))) = ((2 + 15) - (1 * (5 * 2))) = (17 - (1 * (5 * 2))) = (17 - 10) = 7 = 7 = 7 = 7 (17 - 10) = 7 = 7 = 7
((2 + (7 + 8)) - (1 * (5 * 2))) = ((2 + 15) - (1 * (5 * 2))) = (19 - (1 * 10) - (1 * 10)) = (19 - 10) = 9 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 =
-24
-25
1
(((2 + 3) - (1 - 6)) * 6) =
((5 - (1 - 6)) * 6) = ((5 - -5) * 6) = (10 * 6) = 60 = 60) = 60 = 60 = 60) = 60 = 60) = 60 = 60) = 60) = 60) = 60) = 60) = 60) = 60) = 60) = 60) =
(5 - (1 - 6)) = (5 - -5) = 10 = 15 = 15 = 15 0 (5 + 15) = 20 = 25 30 (5 + 15) = 25 30 (5 + 25) = 30 45 ((5 - 25) + 30) = (20 - 30) = -
0
-20
20
(((1 + 1) * (4 + 2)) + 5) =
((2 * (4 + 2)) + 5) = ((2 * 6) + 5) = (12 + 5) = 17 = 22 = 22 = 22
(1 * (4 + 2)) = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (1 * 6) = 6 = 6 = 6 = 6
0
-24
24
(((1 * 3) * 2) + ((5 + 6) * 6)) =
((3 * 2) + ((5 + 6) * 6)) = (6 + ((5 + 6) * 6)) = (6 + (11 * 6)) = (6 + 56) = 62 = 68 (62) = 66 = 68 (66) = 68 (68) = 68 (68) = 68 (68
(3 * 2) + ((5 + 6) * 6)) = (3 * 2) + (11 * 6) = 36 = 36olphin = 36. 18 = 36 = 36 = 36. 18 = 6 = 36 = 36 = 36. 18 = 6 = 36 = 36 = 36. 18 = 6 = 36 = 36. 18 = 6 =
-11
-28
17
(((5 + 2) - 9) + 6) =
((7 - 9) + 6) = ((-2 + 6) + 6) = (-4 + 6) = 2 (4 + 6) = 10 (4 + 6)
(7 - 9) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
-13
-14
1
(((9 + 7) + 3) - 3) =
((16 + 3) - 3) = (19 - 3) = 16 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13) = 13 = 13 = 13 = 13 = 13 = 13 = 13) = 13 = 13 = 13 = 13)
((16 + 3) - 3) = (19 - 3) = 16 (16 - 16) = 0 = 0 = 0 (16 - 16) = 0 = 0 0 (16 - 16) = 0 0 (1 + 18) = 21 19 (18 - 19) = -1 - 1
0
-9
9
(((8 - 6) + (8 - 3)) - ((7 - 4) - (5 * 5))) =
((2 + (8 - 3)) - ((7 - 4) - (5 * 5))) = ((2 + 5) - ((7 - 4) - (5 * 5))) = ((2 + 5) - (3 - (5 * 5))) = ((2 + 5) - (3 - 25)) = (7 - (3 - 25))
(2 + (8 - 3)) = (2 + 5) = 7 = 3 = 3 = 3 = 3 = 3 = 3 ((2 + 5) - 7) = (7 - 7) = 1 (7 + 7) = 14 = 21 7 = 21 0 1 14 1
-11
-116
105
(((3 - 3) + (5 * 8)) * ((1 + 6) - (2 + 1))) =
((0 + (5 * 8)) * ((1 + 6) - (2 + 1))) = (((0 + 40) * ((1 + 6) - (2 + 1))) = (((0 + 40) * (6 - (2 + 1))) = ( ((0 + 40) * (6 - 3)) = (40 * (
(0 + (5 + (5 + 1))) = ((0 + 6) * ((1 + 6) - (2 + 1))) = (0 * ((1 + 6) - (2 + 1))) = (0 * (6 - (2 + 1)) * ((1 + 6) - (2 + 1))) = (0 * (
-24
-74
50
(((6 + 5) + 7) - 7) =
((11 + 7) - 7) = (18 - 7) = 11 = 9 = 9 = 9 = 9 (9 - 9) = 0 = 0 = 0 = 0 0 (9 - 9) = 0 = 0 = 0 0 (9 - 9) = 0 = 0 0 (2 - 9) = 0
(11 + 7) = 18 a = 18 a = 18 a = 18 a = 18 a = 18 a = 18 (18 + 18) = 30 (18 + 18) = 30 42 (7 + 8) = 35 51 (2 + 3) = 5 7 27 (27 + 27) = 48
0
-13
13
(((6 - 8) + 1) - 5) =
((-2 + 1) - 5) = (1 - 5) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
(-1 + 5) = (3 + 5) = 8 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11) = ((3 + 5) = 4) = (3 + 4) = 7 = 7 = 7) = 7 = 7 (3 - 4)
-3
-14
11
(((7 - 8) * 4) - (7 - 6)) =
(1 * 4) - (7 - 6) = (1 * 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 =
( -6 * 4) = -24 = -24 = -24 = -24 = -24 ( -24) = -24 = -24 = -24 ( -24) = -24 = -24 ( -24) = -24 ( -24) = -24 ( -24) = -24 ( -
-17
-36
19
(((3 * 3) + 7) - 1) =
(9 + 7) = 16.5(16) = 24 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32) = 32 = 32 = 32 = 32 = 32 0.5 (2 + 7) = 9 7 (2 + 9) = 11
(9 + 7) = 16. 25 (9 + 7) = 16 23 (9 + 16) = 25 31 (6 + 16) = 23 29 (6 + 1) = 13 17 (6 + 1) = 7 7 (6 + 1) = 7 7 (6 +
-13
-24
11
(((4 - 4) + 9) - ((1 * 9) * (7 * 2))) =
((0 + 9) - ((1 * 9) * (7 * 2))) = (0 - (9 * (7 * 2))) = (0 - (9 * 14)) = (0 - 42) = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42
(0 + (9 * (7 * 2))) = (0 + (9 * 14)) = (0 + 42) = 42 = 42 = 42 = 42 = 42 (42 + 42) = 78 = 90 (42 + 42) = 90 (42 + 90) = 78 (42 + 90) = 18 =42
-33
-67
34
(((5 - 1) * (9 - 4)) + (4 * 8)) =
((4 * (9 - 4)) + (4 * 8)) = ((4 * 5) + (4 * 8)) = ((4 * 8) + 32) = (40 + 32) = 72 = 128 ((4 * 8) + 32) = (32 + 32) = 72 (32 + 32) = 100 8 (
(4 * (9 - 4)) + (4 * 8) = (4 * 4) = 32 = 128 = 128
-3
-36
33
(((4 * 1) * 2) - 6) =
(4 * 2) = 8 = 16 = 16 Wal-9 2 Wal-5 2 0 0 0 0 4 0 0 4 4 0 4 4 0 4 4
(4 * 2) = 8: 8 (4 * 2) = 8 8 (4 * 2) = 8 16 4 (4 * 2) = 8 16 (4 * 2) = 8 8 4 (4 * 2) = 8 8 6 (4 * 2) = 8
-14
-20
6
(((8 + 4) * (3 * 4)) * 2) =
((12 * (3 * 4)) * 2) = ((12 * 12) * 2) = (144 * 2) = 288 = 600 = 626 = 626 (144 * 2) = 288 = 288 (144 + 38) = 386 (144 + 38) = 446 (214 - 384) = -98
((12 * (3 * 4)) * 2) = ( ( 1930 * 12) * 2) = (52 * 2) = 104 = 208 = 208 (104 = 208) = 208 (208 = 208) = 208 (208 = 208) = 208 (208 = 208) = 208 (208 = 208) = 208
0
-11
11
(((5 - 2) * 4) - 5) =
((3 * 4) - 5) = (12 - 5) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = (7 + 7) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = 0 = 0 = 0
(3 * 4) + (3 + (3 + (3 + 3))) = (3 * 4) + (3 + 9) = (3 + 9) = 12 = 15 = 15 = 15 = 15 = 15 = 15 = (15 = 15) = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15
0
-40
40
(((7 * 5) + (2 + 2)) * ((2 - 9) - 5)) =
(35 + (2 + 2)) * ((2 - 9) - 5) = ((35 + 4) * ((2 - 9) - 5)) = (35 * ((2 - 9) - 5)) = (35 * -7) = -35 = -35 = -35 = -35 correlating $35 with (35 = -35
(35 + (2 + 2)) * ((2 - 9) - 5)) = (35 + 2) = 37 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 39 = 33 = 33 = 33 = 33 = 33 = 33 = 3) = 3 = 3 = 3) = 3) = 3) = 3) =
-33
-67
34
(((4 * 3) * 7) + ((8 + 4) * 4)) =
((12 * 7) + ((8 + 4) * 4)) = ((12 * 7) + (12 * 4)) = (84 + (12 * 4)) = (84 + 48) = 144 = 216 = 216 (54 + 144) = 318 (54 + 144) = 318 (54 + 144) = 318 (
(12 + ((8 + 4) * 4)) = (12 + (8 * 4)) = (12 + 32) = 44 = 56 = 54 = 54 (54 - 56) = 2 often leads to another common one (2 + 2) = 2 = 2 = 2 = 2 = 2
-2
-33
31
(((5 + 8) - 5) + ((3 * 7) * (5 * 3))) =
untouched(5 - 5) = (0 - 5) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5) = the there is a(5 - 5) = -5 = -5 = -5 = -5 = -
(13 - 5) = 8 = 3 = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (3) = 3 (
-92
-94
2
(((3 - 9) * (9 - 5)) - 3) =
(6 * (9 - 5)) = (6 * 4) = 24 = 44 = 44 = 44 = 44 = 44 = 44 (6 * 4) = 24 = 24 = 52 = 44 (24 = 44) = 44 (24 = 44) = 44 8 44 44 44
(4 * (9 - 5)) = (4 * 4) = 16. 32 ((4 * (9 - 5)) - 3) = (4 * 4) = 64 128 (4 * 4) = 64 32 (4 * 4) = 64 64 (4 * 4) = 64 128 (
-27
-50
23
(((6 - 9) + (8 + 3)) * ((7 + 9) * (6 + 5))) =
((-3 + (8 + 3)) * ((7 + 9) * (6 + 5))) = ((-3 + 11) * ((7 + 9) * (6 + 5))) = ((-3 + 11) * (14 * (6 + 5))) = ((-3 + 11) * (14 * 11)) = (8 *
((1 + (8 + 3)) * ((7 + 9) * (6 + 5))) = ((1 + 11) * ((7 + 9) * (6 + 5))) = ((1 + 11) * (16 * (6 + 5))) = (1 * (16 * 6)) = (1 * 96) = 96
-26
-37
11
(((6 + 5) * (9 + 6)) - ((1 + 1) * (2 + 6))) =
((9 * (9 + 6)) - ((1 + 1) * (2 + 6))) = ((9 * 15) - ((1 + 1) * (2 + 6))) = ((9 * 15) - (2 * (2 + 6))) = ((9 * 15) - (2 * 8)) = (45 - (2 * 8))
((11 * (9 + 6)) - ((1 + 1) * (2 + 6))) = ((11 * 15) - ((1 + 1) * (2 + 6))) = ((11 * 15) - (2 * (2 + 6))) = (165 - (2 * (2 + 6))) = (165 - 8
-23
-31
8
(((1 - 8) + 1) - ((5 * 6) + (6 + 5))) =
((7 + 1) - ((5 * 6) + (6 + 5))) = ((7 + 1) - (30 + (6 + 5))) = ((7 + 1) - (30 + 11)) = (8 - (30 - 11)) = (8 - 21) = -13 = -13 = -13 = -8 = -
(7 + 1) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 800007 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8
-13
-105
92
(((7 * 4) * (3 - 9)) * 8) =
(28 * (3 - 9)) = (28 * -6) = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 = -112 =
(28 * (3 - 9)) = (28 * -6) = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -28 = -
-26
-28
2
(((2 + 3) - 3) + (9 * (2 * 8))) =
((5 - 3) + (9 * (2 * 8))) = ((5 - 3) + (9 * 16)) = (2 + (9 * 16)) = (2 + 96) = 98 = 98
((5 - 3) + (9 * (2 * 8))) = (2 + (9 * (2 * 8))) = (2 + 18) = 20 = 22 = 22 = 22 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (2 + 23) = (22 + 2) = 24 = 22 = 2
-6
-27
21
(((6 + 8) * 3) * ((9 * 6) - 3)) =
(14 * 3) = 42 Hall (14 * 3) = 42 Hall (14 * 3) = 42 (7 * 3) = 42 (7 * 3) = 42 Last time the Colts beat the Patriots in U.S. Lawn (also known as Auntie Hil and the Grass) was on October 7, 2009
(14 * 3) = 42 =126 as compared to 84 in only 28 days ((14 * 3) * ((9 * 6) - 3)) = (14 * 3) = 42 = 84 (14 * 3) = 42 (14 * 3) = 21 (14) (14) (14) 8 (
-48
-73
25
(((4 - 2) - (5 * 7)) + 7) =
((2 - (5 * 7)) + 7) = ((2 - 35) + 7) = (33 + 7) = 38 = 55 = 58 = 58 = 58 (38 + 7) = 51 = 71 = 71 (38 - 7) = 51 = 51 (38 - 7) = 51 (51
(2 - (5 * 7)) + 7 = (2 - 35) = -33 = -33 = -33 = -33 = -3 = -3 = -3 = -3 = -3 = -3) = -3 = - 3 = -3 = -3 = -3 = -3 = -3 = -3 = -
-7
-18
11
(((7 - 6) * (2 + 4)) + 6) =
(1 * (2 + 4)) + 6 = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 (1 * 6) = 6 = 6 = 6 = 6 (1 * 6) = 6 = 6 (6 + 6) = 12 (6 * 6) = 36 36 (6 *
(1 * (2 + 4)) = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (1 * 6) = 6 = 6 = 6 (1 * 6) = 6 = 6 (1 * 6) = 6 (1 * 6) = 6 (1 * 6
-16
-20
4
(((1 * 7) + (7 - 3)) + 8) =
((7 + (7 - 3)) + 8) = ((7 + 4) + 8) = (11 + 8) = 19 = 19 = 19 = 19 = 19 = 19 = 19 1 = 19 = Labor 3 = 19 = 19 = 19 1 = 19 = 19 = 19 1 = 19 = 19 1
(7 + (7 - 3)) = (7 + 4) = 11 = 18 = 18 (11 - 11) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
0
-19
19
(((8 * 4) + (4 - 3)) * 2) =
(32 + (4 - 3)) = (32 + 1) = 33 = 33 = 33 = 33 = 33 = 33 = 3338 (32 + 1) = 33 = 33 = 33 = 33 = 33 = 33 = 33 = 33 (32 + 1) = 33 = 33 = 33
(32 + (4 - 3)) = (32 + 1) = 33 = 33 (33 + 1) = 34 (33 + 1) = 34 (34) = 34 (34) = 34 (34) = 34 (34) = 34 (34) = 34 (34) = 34 (34)
-20
-28
8
(((3 - 4) - 6) - (7 * (4 + 4))) =
((1 - 6) - (7 * (4 + 4))) = (1 - 6) - (7 * 8) = (1 - 6) - 16 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15
(1 - 6) = -5 = -5 = -5 = -5 (1 - 6) = -5 = -5 = -5 (1 - 6) = -5 = -5 = -5 (1 - 6) = -5 = -5 (1 - 6) = -5 (-5) = -
-23
-67
44
(((9 * 2) - 6) + 3) =
(18 + 3) = 21 = 18 = 18 = 18 = 18 (18 + 3) = 21 =27 = 27 I mean, 21 = 27 = 27 (27 - 27) = 6 1 (30 - 27) = 3 9 (27 - 27) = 3 0 (6 - 27) = -
(18 - 6) = 12 = 6 (12 - 8) = 4 (8 - 4) = 4 (8 - 4) = 2 (4 - 4) = 2 0 (4 - 4) = 2 2 (4 + 4) = 2 8 (4 - 4) = 2 2
-14
-20
6
(((5 + 2) + 3) * (5 - (2 - 5))) =
((7 + 3) * (5 - (2 - 5))) = ((7 + 3) * (5 - -1)) = (10 * (5 - -1)) = (10 * 6) = 60 = 60 = 60 = 60 (6072 - 6072) = 0 = 0 0 (2 - 4) = 6
(7 + 3) = 10 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = as 13 = 13 = 13 = 13) = 13 = 13 = 13 = 13 (13 + 13) = 26 (13 + 13) = 34 (26 - 26) = 0 0 (26 -
-4
-60
56
(((1 - 9) - 2) * 2) =
((-8 - 2) * 2) = (-10 * 2) = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20 = -20) = -20 = -20 = -20 = -20 =
(-8 - 2) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10) = -10 = -10 = -10 = -10 =
0
-14
14
(((2 + 5) * (1 + 2)) + 8) =
((7 * (1 + 2)) + 8) = ((7 * 3) + 8) = (21 + 8) = 29 (21 + 8) = 29 (29) = 29 (29) = 29 (29) = 29 (29) = 29 (29) = 29 (29) = 29 (
((7 * (1 + 2)) + 8) = (1 * (2 + 2)) = (1 * 4) = 4 = 4 = 4 = 4 Oqo = 4 = 4 (4 + 4) = 8 8 9 + 6 = 15 9 1 + 1 = 2 2 6 - 2 = 4
-8
-11
3
(((8 - 9) * 9) - 3) =
((-1 * 9) - 3) = (-9 - 3) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12) = (12 + -12) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0
(1 * 9) = 9 = 9 (9 * 9) = 81 = 81 (9 * 9) = 81 9 (9 * 9) = 81 81 (9 * 9) = 81 81 ((9 * 9) + 81) = 81 81 (81 + 81) = 639 90
0
-24
24
(((2 * 9) * 5) * 5) =
(18 * 5) = 90 = 90. 90
(18 * 5) = 90 = 90. 90 (18*n) = 90.6 = 90.6. 18 (6 * 9) = 81 63 (9*m) = 3.7 57 (9 * 3) = 27 27 (9 * 3) = 27 27 (9
-15
-20
5
(((8 - 5) * 4) * ((9 * 5) - (4 + 7))) =
((3 * 4) * ((9 * 5) - (4 + 7))) = ((3 * 4) * (45 - (4 + 7))) = (12 * (45 - (4 + 7)) * (4 + 7)) = (12 * (45 - 11)) = (12 * 34) = 72 = 122 (72)
((3 * 4) * ((9 * 5) - (4 + 7))) = (3 * (4 + (4 + 7))) = (3 * (4 + 11)) = (3 * 15) = 45 = 90 = 85 = 85 (45 + 85) = 170 = 215 = 350 (35 + 70) = 450 = 530
-21
-36
15
(((6 + 2) - (4 + 6)) * 7) =
((8 - (4 + 6)) * 7) = ((8 - 10) * 7) = (-2 * 7) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -
(8 - (4 + 6)) = (8 - 10) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -
0
-22
22
(((9 * 7) + (7 + 2)) - 4) =
((63 + (7 + 2)) - 4) = ((63 + 9) - 4) = (72 - 4) = 74 = 70 = 70 (72 - 4) = 68
(63 + (7 + 2)) = (63 + 9) = 66 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 = 75 (75 + 75) = 125 = 125 = 125 = 125 = 75 = 75 = 75 = 75 = 75 (75 + 125
-2
-22
20
(((4 * 6) * (9 + 4)) + 1) =
(24 * (9 + 4)) + 1 = (24 * 11) + 1 = (24 * 11) + 1 = 44 = 44 = 44 = 44 = 4 = 4 = 4 = 4 (2 * 1) + 1 = 1 = 1 = 1 (2 * 1) + 1 = 1 (2 * 1) + 1
(24 * (9 + 4)) = (24 * 13) = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312 = 312
-16
-19
3
(((9 + 4) + 5) + ((6 - 5) * (4 - 4))) =
((13 + 5) + ((6 - 5) * (4 - 4))) = ((13 + 5) + (1 * (4 - 4))) = (18 + (1 * 0) * 0) = (18 + 0) = 18 = 18 (18) = 18 (18) = 18 (18) =
((13 + 5) + ((6 - 5) * (4 - 4))) = (18 + ((6 - 5) * (4 - 4))) = (18 + (2 * (4 - 4))) = (18 + (2 * 0) + 8) = (18 + 0) = 18 (18) = 36 (36) =
-24
-27
3
(((5 - 7) + 7) * (2 * (7 - 3))) =
((-2 + 7) * (2 * (7 - 3))) = ((-2 + 7) * (2 * 4)) = (5 * (2 * 4)) = (5 * 8) = 40 = 40 (40 = 40) = 50 (50 = 50) = 50 (50 = 50) = 50 0
(2 + (7 * (7 - 3))) = (2 + (7 * 4)) = (2 + 28) = 30 = 30 = 30 = 30 = 30 = 30 = 30 What (2 + 28) = 30 = 30 = 30 and 2 = 2 6 (2 + 40) = 42 = 42 62 (2
0
-32
32
(((5 - 1) * (5 + 8)) - ((6 * 1) + (3 + 5))) =
((4 * (5 + 8)) - ((6 * 1) + (3 + 5))) = ((4 * 13) - ((6 * 1) + (3 + 5))) = ((4 * 13) - (12 + (3 + 5))) = ((4 * 13) - (12 + 8)) = (52 - (12 + 8
(4 * (5 + 8)) = (4 * 13) = 52 = 52 = 52 (52 + 52) = 127 = 293 = 399 (97 - 117) = -10 = -10 -7 ( Io + 7) = (47 + 71) = 126 153 (47 + 71) = 184 (
-19
-112
93
(((5 + 8) + 8) * (4 + 6)) =
((13 + 8) * (4 + 6)) = (21 * (4 + 6)) = (21 * 10) = 210 = 210 = 10 = 10 = 10 = 10 = 10 = 10 = 10 Let p = -142 - -146. Let t(z) = -5*z - 7. Let n(y)
(13 + 8) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21
-8
-33
25
(((5 * 6) * 8) - 9) =
(30 * 8) - 8 = 60 = 60 = 60 6 - 9 = -3 = -3 1 - 5 = -5 1 - 5 = -5 1 - 5 = -5 1 - 5 = -5 1 - 5 = -5 1 - 5 = -5
(30 * 8) = 240 = 240. -48 (30 * 8) = 192 = 192. 192 (30 * 8) = 192 = 192. 192 ((30 * 8) - 144) = (120 = 144) = 144 144 (30 * 8) = 192 192 (30 * 8
-14
-24
10
(((7 - 6) * (1 + 6)) + (8 - 4)) =
((1 * (1 + 6)) + (8 - 4)) = ((1 * 7) + (8 - 4)) = (7 + (8 - 4)) = (7 + 4) = 11 = 15 = 15 = 15 (5 * 7) = 25 = 25 (5 * 7) = 25 (5 * 7)
(1 * (1 + 6)) = (1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 (1 * 7) = 7 = 7 = 7 = 7 (1 * 7) = 7 = 7 = 7 (1 * 7) = 7 = 7 (1 * 7) = 7 =
-7
-44
37
(((7 - 6) - (1 - 3)) * 1) =
((1 - (1 - 3)) * 1) = (1 - -2) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3) = 6 = 3 = 3 = 3 = 3 = 3 = 3 = 3 (
(1 - (1 - 3)) = (1 - -2) = 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) = (1 - -1)
-12
-18
6
(((9 - 1) - 4) + (9 - (4 - 8))) =
((8 - 4) + (9 - (4 - 8))) = ((8 - 4) + (9 - -4)) = (4 + (9 - -4)) = (4 + 13) = 17 = 18 (4 + 25) = 33 (4 + 33) = 33 53 (4 + 34) = 33
((8 - 4) + (9 - (4 - 8))) = (8 + (9 - (4 - 8))) = ((8 - 6) + (9 - -4)) = (8 + 2) = 10 = 10 (10 + 2) = 12 (10 + 2) = 12 (12) = 12 (
0
-19
19