question
stringlengths
22
46
response_j
stringlengths
11
474
response_k
stringlengths
5
482
score_j
float64
-131
0
score_k
float64
-209
-1
magnitude
float64
1
189
(((3 * 2) + 3) - (2 - 9)) =
((6 + 3) - (2 - 9)) = (9 - (2 - 9)) = (9 - -7) = 16 = 17 = 17 = 17 = 17 (16 - -7) = 23 = 29 (16 = 29) = 29
(6 + 3) = 9 and (12 - 16) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
-7
-30
23
(((4 - 3) + (2 + 1)) + (8 - (2 + 1))) =
((1 + (2 + 1)) + (8 - (2 + 1))) = (((1 + 3) + (8 - (2 + 1))) = ((1 + 3) + (8 - 3)) = ((1 + 3) + 5) = (4 + 5) = 9 = 9 = 9 = 9 (4 +
(1 + (2 + 1)) = (1 + 3) = 4 = 5 = 6 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = (1 + 3) = 3 = 3 = 5 = 5 = 5 = 5 = 5) = (1 + 3) = 3 = 3 = 5
-8
-76
68
(((3 - 6) + (9 - 1)) + 4) =
((-3 + (9 - 1)) + 4) = ((-3 + 8) + 4) = (5 + 4) = 9 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 Let u be (3 + 4) + 1 + (6 - 9).
((-3 + (9 - 1)) + 4) = ((-3 + 5) + 4) = (2 + 4) = 6 shocked = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 ((2 + 4) + 4) = (2 + 4) = 6 = 6 = 6 =
0
-3
3
(((6 * 5) - (3 * 2)) - ((8 + 5) * 4)) =
(30 - (3 * 2)) - ((8 + 5) * 4)) = (30 - 6) - (26 * 4) = (30 - 6) - 26 = 26 = 26 = 26 = 26 (30 - 6) - (26 * 4) - 26 = 26 = 26 1 = 26 - 26 1 1
(30 - (3 * 2)) - ((8 + 5) * 4) = (30 - 6) = 24 (30 - 6) = 24 (24 - 24) = 8 2 (8 - 24) = -16 -16 (8 - 16) = -4 -8 (8 - 16)
-68
-70
2
(((1 + 5) + (6 - 7)) - (2 - 6)) =
((4 + (6 - 7)) - (2 - 6)) = ((4 + -1) - (2 - 6)) = ((4 + -1) - -4) = (3 - -4) = 7 = 11 = 11 = 11 (3 - -4) = 11 = 13 (3 - -4) = 17
(4 + (6 - 7)) = (4 + -1) = -3 = -3 = -3 = -3 (3 + -3) = (0) = 0 = 0 = 0 0 = 0 = 0 0 = 0 = 0 0 = 0 0 0 = 0 0 0 = 0 0
-5
-49
44
(((3 * 1) - 2) - (9 * (8 * 7))) =
((3 - 2) - (9 * (8 * 7))) = {3 - (9 * (8 * 7))) = ((3 - 9) - 56) = (-6 - 56) = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 = -58 (58 - 58)
((3 - 2) - (9 * (8 * 7))) = (3 - (9 * 56)) = (3 - 168) = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -165 = -
-22
-27
5
(((2 - 5) - (6 * 6)) - (7 * (5 - 9))) =
((-3 - (6 * 6)) - (7 * (5 - 9))) = ((-3 - 36) - (7 * (5 - 9))) = ((-3 - 36) - (7 * -4)) = (-39 - (7 * -4)) = (-39 - -28) = -11 = -11 =
((-3 - (6 * 6)) - (7 * (5 - 9))) = ((-3 - 36) - (7 * (5 - 9))) = ((-3 - 36) - (7 * -4)) = (-39 - (7 * -4)) = (-39 - 28) = -71 = -71 = -71
0
-3
3
(((6 - 4) * (6 - 1)) - ((6 - 5) - 9)) =
((2 * (6 - 1)) - ((6 - 5) - 9)) = ((2 * 5) - ((6 - 5) - 9)) = (2 - ((6 - 5) - 9)) = (2 - 1) = 1 = 1 = 1 = 1 (1 - 1) = 0 = 0 = 0 0
(2 * (6 - 1)) = (2 * 5) = 10 = 10 = 10 = 10 = 10 (2 * 5) = 10 = 10 (2 * 5) = 20 (2 * 5) = 20 (2 * 5) = 20 (5 * 5) = 50 5 (5 * 5)
-24
-74
50
(((6 + 3) + (1 - 6)) - (8 + 8)) =
((9 + (1 - 6)) - (8 + 8)) = ((9 + -5) - (8 + 8)) = ((9 + -5) - 16) = (4 - 16) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -
(9 + (1 - 6)) = (9 + -5) = 4 = 3 = 3 ((9 + -5) - (8 + 8)) = (9 + 8) = 17 (9 + 8) = 29 (9 + 8) = 29 (9 + 8) = 29 (9 + 8) = 29
0
-74
74
(((2 - 3) + (6 - 5)) - (4 + (1 + 2))) =
((-1 + (6 - 5)) - (4 + (1 + 2))) = (((-1 + 1) - (4 + (1 + 2))) = (1 - (4 + (1 + 2))) = (1 - (4 + 3) - (4 + 3)) = (1 - 7) = -6 = -6
(1 + (6 - 5)) = (1 + 1) = 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
-24
-82
58
(((5 + 4) + (8 * 7)) - 6) =
((9 + (8 * 7)) - 6) = ((9 + 56) - 6) = (65 - 6) = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 = 59 (65 - 59) = (59 + 59) = 110 = 151 = 251 (65 - 59) = 16 = 71
(9 + (8 * 7)) = (9 + 56) = 65 = 66 = 65 = 65 = 65 E = (6) = 66 = 66 = 66 1 = 66 = 66 1 1 1 1 1 1 1 1 1
0
-20
20
(((5 + 7) - (1 + 7)) + (5 - 6)) =
((12 - (1 + 7)) + (5 - 6)) = ((12 - 8) + (5 - 6)) = ((12 - 8) + -1) = (4 + -1) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3
((12 - (1 + 7)) + (5 - 6)) = ((12 - 8) + (5 - 6)) = ((12 - 8) + (5 - 6)) = (4 + (5 - 6)) = (4 + -1) = (4 + -1) = 3 = 3 = 3 = 3
0
-20
20
(((8 - 5) + 4) * 1) =
(3 + 4) = 7. 11 (3 + 1) = 4 7 (3 + 4) = 7 7 (3 + 4) = 7 11 ((3 + 4) = 7) = 7 7 (3 + 7) = 10 11 (3 + 7) = 10 11
(3 + 4) = 7. 3 (3 + 4) = 7 11 (3 + 7) = 10 11 (3 + 7) = 8 11 (3 + 8) = 11 11 (7 - 11) = -4 -3 (7 - 11) = -4 - 1
-19
-20
1
(((3 * 8) + (6 - 7)) - ((3 + 4) * (7 * 2))) =
((24 + (6 - 7)) - ((3 + 4) * (7 * 2))) = (((24 + -1) - ((3 + 4) * (7 * 2))) = ((24 + -1 - (3 * (7 * 2))) = ((24 + -1) - (3 * 14)) = (23 - (3
((24 + (6 - 7)) - ((3 + 4) * (7 * 2))) = ((24 + -1) - ((3 + 4) * (7 * 2))) = ((24 + -1) - (7 * 2)) = (25 - (7 * 2)) = (25 - 14) = 9.5 = 19.
-27
-37
10
(((2 + 7) * 6) * ((6 + 6) - (2 - 1))) =
((9 * 6) * ((6 + 6) - (2 - 1))) = ((9 * 6) * (12 - (2 - 1))) = ((9 * 6) * (12 - 1)) = (54 * (12 - 1)) = (54 * 11) = 114 = 114 = 174 = 174 = 174 1 = 114
(9 * 6) = 54 = 54 = 54 = 54 = 46 (54) = 54 = 54 = 54 = 54 1 (54) = 54 = 54 = 54 0 (9) = 51 = 51 6 3 (7) = 21 14 (7) = 21 7 (7) =
-2
-95
93
(((9 * 1) * 7) - ((3 - 9) - (1 * 1))) =
((9 * 7) - ((3 - 9) - (1 * 1))) = ((9 * 7) - (-6 - (1 * 1))) = ((9 * 7) - (-6 - 1)) = (63 - (-6 - 1)) = (63 - -7) = 70 = 73 Tyler and Marr are known
(9 * 7) = 57 = 57 = 57 = 6 (9 * 7) = 42 = 42 = 42 = 42 1 Supp((9*m + 8) + (9 - 14)) = (9 + (9 - 14)) = (9 + 3) = 12 (9*t) = 3*t +
0
-90
90
(((9 - 6) * 7) + (9 * 9)) =
(3 * 7) = 21 = 63 = 63 = 63 = 63 (3 * 7) = 21 = 63 = 63 8 = 63 9 = 63 9 = 63 9 = 63 9 = 63 9 = 63 9 = 63 9 = 63 9 = 63
(3 * 7) = 21 = 42 = 42 3 (3 * 7) = 21 = 21 42 (4 + 1) = 5 5 Let h(k) = -8*k - 7. Let r(o) = 7*o - 1. Let v be r(-8). Let f be h(v
-37
-43
6
(((1 * 4) + 1) - 5) =
((4 + 1) - 5) = (5 - 5) = 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 + 1) = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) = (4 + 1) = 5 = 5 = 5 = 5 = 5 = 5 = 5) = (4 + 1) = 5 = 5 = 5 = 5) = (
0
-13
13
(((5 * 9) * (6 - 7)) * 4) =
((45 * (6 - 7)) * 4) = ((45 * -1) * 4) = (-45 * 4) = -180 = -180. Let v = v + 180. -60 (1 - -8) = 9*(9 - 9) = 0. 9 (1 - 9) = -8
(45*(6 - 7)) = (45*1) = 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could be 45 could
0
-117
117
(((1 + 4) - (6 * 8)) * ((9 - 3) * 2)) =
((5 - (6 * 8)) * ((9 - 3) * 2)) = ((5 - 48) * ((9 - 3) * 2)) = ((5 - 48) * (9 * 2)) = (43 * (9 * 2)) = (43 * 12) = 924 = 1089 = 1251 = 1492 (10
((5 - (6 * 8)) * ((9 - 3) * 2)) = (1 + (6 * 8)) = (1 + 48) = 497 = 503 = 505 = 535 = 535 = 535 = 535 = 535 = 535 = 535 = 535 = 535 = 535 = 535 =
-12
-60
48
(((6 * 5) + (6 - 1)) - (4 + (2 + 4))) =
(30 + (6 - 1)) - (4 + (2 + 4))) = (30 + 5) - (4 + (2 + 4))) = (30 + 5) - (4 + 6) = 35 - 9 = 22 = 17 = 17 (35 + 5) - (5 - (4 + 6)) = (35
(30 + (6 - 1)) = (30 + 5) = 35. 35 (30 + 5) = 35 5 (30 + 5) = 35 55 (30 + 5) = 35 45 (30 + 5) = 35 35 (30 + 5) = 35 55 (30 - 5
-24
-77
53
(((5 + 1) * (9 - 3)) - (9 + 4)) =
(6 * (9 - 3)) = (6 * 6) = 36 (6 * 6) = 36 (6)* (6) = 36 30 (6) = 30 54 (6) = 30 30 (6) = 30 30 (6) = 30 30 (30) = 30
(6 * (9 - 3)) = (6 * 6) = 36 = 36 = 36 = 36 = 24 (6 * 6) = 48 = 48 = 48 (48 + 54) = 78 (48 + 74) = 142 42 (42 * 2) = 44 74 (42*2) = 86 98
-45
-46
1
(((8 + 2) - (7 + 9)) * ((2 + 7) * (4 + 4))) =
((10 - (7 + 9)) * ((2 + 7) * (4 + 4))) = ((10 - 16) * ((2 + 7) * (4 + 4))) = ((10 - 16) * (9 * (4 + 4))) = ((10 - 16) * (9 * 8)) = (6 * 48
((10 - (7 + 9)) * ((2 + 7) * (4 + 4))) = ((10 - 16) * ((2 + 7) * (4 + 4))) = ((10 - 16) * (11 * (4 + 4))) = (-14 * (11 * 8)) = (14 * 32) = 128 =
-25
-36
11
(((1 * 2) - 3) * 3) =
(2 - 3) = (-1 - 3) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4) = = = = = = = = = = = = = = = = = = = = = = = = = = = =
(2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
-9
-14
5
(((3 * 6) - 6) + ((6 - 1) * (2 + 9))) =
((18 - 6) + ((6 - 1) * (2 + 9))) = ((18 - 6) + (5 * (2 + 9))) = (12 + (5 * (2 + 9))) = (12 + 11) = 23 = 39 = 64 = 59 = 64 (63 - 64) = 7 =
(18 + ((6 - 1) * (2 + 9))) = (18 + (6 * (2 + 9))) = (18 + (6 * 11)) = (18 + 66) = 78 = 84 = 84 = 84 = 84 (18 + 6) = 90 = 84 = 84 7 = 84 = 84
-26
-40
14
(((9 * 6) - (3 - 8)) * ((4 * 8) - (1 * 9))) =
((54 - (3 - 8)) * ((4 * 8) - (1 * 9))) = ((54 - -5) * ((4 * 8) - (1 * 9))) = ((54 - -5) * (32 - (1 * 9))) = (59 * (32 - (1 * 9))) = (59 *
(54 - (3 - (1 * 9))) = (54 - (3 - 9)) = (54 - -6) = 60 = 54 = 54 = 54 = 54 = 54 = 54 = 54 (54 - -6) = 60 = 66 = 66 (54 + -6) = 60 = 66 (66 - 66)
-34
-105
71
(((9 + 8) + 1) * (9 + 2)) =
(19 * (9 + 2)) = (19 * 11) = 41 = 81 = 81 (19 * 11) = 41 = 41 (19 = 41) = 35 (19 = 41) = 41 (41) = 41 (41) = 41 (41) = 41 (41) = 41 (41)
(17 + 1) = 18 = 18 = 18 = 18 = 18 (18 - 18) = 6 = 6 = 6 = 18 (18 + 6) = 24 = 30 6 (18 - 18) = 6 6 (18 - 18) = 6 0 (2 - 6) = -4 -2
-25
-34
9
(((8 + 1) + 4) - 2) =
((9 + 4) - 2) = (13 - 2) = 11 = 9 (13 - 2) = 11 (13) = 11 (13) = 11 (11) = 11 (11) = 11 (11) = 11 (11) = 11 (11) = 11 (11) =
(9 - 4) = 5 - 4. 1 (9 + 4) + (7 - 4) = (13 - 4) = 9 + 5. 9 (9 + 4) + (7 - 4) = 10 - 9. 1 (9 - 9) = 1 1 ((5 - 9) -
0
-32
32
(((3 * 3) - 9) * (9 + 2)) =
((9 - 9) * (9 + 2)) = ((9 - 9) * 11) = (0 * 11) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0: 0 = 0 = 0
(9 - 9) = (0 - 9) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9) = -9 = -9 = -9 = -9 =
0
-30
30
(((8 * 9) * 8) + 9) =
(72 * 8) = 962 = 972 = 972 = 972 (72 * 8) = 96 872 (72 * 8) 48 856 856 856 856 856 856 856 856 856 856 856 856
(72 + 9) = 81 = 90 = 90 = 90 = 90 (81 + 9) = 90 = 90 (81 + 9) = 90 (81 + 9) = 90 (81) = 90 (81) = 90 (81) = 90 (81) = 90 (90) = 90 (
-17
-18
1
(((1 + 1) - (8 * 2)) * 5) =
((5 - (8 * 2)) * 5) = ( (8 - 16) * 5) = (4 * 5) = 20 = 20 = 20 = 20 = 20 = 20 = 20 (4 * 5) = 20 = 20 = 20 = 20 (4 * 5) = 20 = 20 = 20 (4 * 5) =
(2 - (8 * 2)) = (2 - 16) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14: -14 = -14 = -14) = -14 = -
-9
-22
13
(((4 * 7) * 6) * 2) =
(28 * 6) * 2) = (392 * 6) * 2) = 962 = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 962) = 9
(28 * 6) = 168. 84 (28 * 6) = 210 42 (28 * 6) = 168 72 (28 * 6) = 108 72 (28*1) = 28 56 (28 * 6) 72 (28 * 6) 48 (28 * 6) 168
-11
-25
14
(((7 - 5) * 6) - (8 - (8 * 6))) =
(2 * 6) + (8 - (8 * 6))) = (2 * 6) + (8 - 72) = (2 * 6) + (8 - 72) = (2 + 8) = 10 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 12 = 12 = 12
(2 * 6) = 12 "For us humans to successfully go through contact, we would have to bring as much as 97% of our own composition into the classroom...which I call 97.7...with 97.7 percent of its own composition...we would carry a workstation that has 97.7 percent of its own composition...because we don't
-24
-92
68
(((1 * 4) * 1) * (5 + 3)) =
((4 * 1) * (5 + 3)) = ((4 * 1) * 8) = (4 * 8) = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 34 ) = (4 * 8) = 32 = 32 = 32 = 32 (4 * 8) = 32 = 32 (4 * 188
(4 * 1) = 4 = 4 = 4 = 4 = 4 (4 * 1) = 4 = 4 0 (4 * 1) = 4 4 (4 * 1) = 4 4 (4 * 1) = 4 4 (4 * 1) = 4 4 (4 * 1) =
0
-32
32
(((9 * 5) * 9) * ((6 + 8) + (3 - 8))) =
((45 * 9) * ((6 + 8) + (3 - 8))) = ((45 * 9) * (14 + (3 - 8))) = ((45 * 9) * (14 + -5)) = (45 * (14 + -5)) = (45 * 9) = 405 = 135 = 175 (285 -
((45 * 9) * ((6 + 8) + (3 - 8))) = ((45 * 9) * (14 + (3 - 8))) = (135 * (14 + (3 - 8))) = (135 * -5) = (135 * -5) = -135 = -135 = -135 = -135
-5
-27
22
(((9 * 2) + 6) - ((3 - 1) + (8 - 4))) =
((18 + 6) - ((3 - 1) + (8 - 4))) = (18 - ((3 - 1) + (8 - 4))) = (18 - (2 + (8 - 4))) = (18 - (2 + 4)) = (18 - 6) = 12 = 6 = 6 = 6 (6 + 8)
(18 + 6) = 24 ruling is 24. 7 (18 + 6) = 28 = 34 = 38 8 (18 + 6) = 24 = 34 8 (18 + 6) = 24 8 (18 + 6) = 24 8 (18 + 6) = 24
-20
-82
62
(((3 - 4) - (7 - 9)) - (6 * (8 - 2))) =
((-1 - (7 - 9)) - (6 * (8 - 2))) = ((-1 - -1) - (6 * (8 - 2))) = ((-1 - -1) - 6) = (0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 =
((-1 - (7 - 9)) - (6 * (8 - 2))) = ((-1 - -2) - (6 * (8 - 2))) = ((-1 - -2) - (6 * (8 - 2))) = ((-1 - -2) - (6 * 6)) = (1 - (6 * 6
-25
-26
1
(((3 + 6) * 3) - 7) =
((9 * 3) - 7) = (9 - 7) = 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 =
(9 * 3) = 27 (27) = 42 (42) = 42 (42) = 42) = 42 + 42 = 84 (3 * 3) = 21 = 63 (3 * 3) = 21 3 21 84 84 84 84 84 84
-3
-15
12
(((3 + 4) + (5 - 9)) - 8) =
((7 + (5 - 9)) - 8) = ((7 + -4) - 8) = (3 - 8) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -
(7 + (5 - 9)) = (7 + -4) = 3 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
0
-22
22
(((7 + 6) + (5 - 9)) - (2 + 9)) =
(-13 + (5 - 9)) = ((13 + -4) - (2 + 9)) = (-13 - (5 - 9)) = (-13 - -4) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9
((13 + (5 - 9)) - (2 + 9)) = (((13 + -4) + (2 + 9)) = (((13 + -4) + 9) - (2 + 9)) = (((13 * 9) - (2 + 9)) = ((13 + 9) - 13) = (22 - 13)
-26
-52
26
(((4 + 3) + 7) + ((9 - 2) + (2 * 8))) =
([5 + 7) + ((9 - 2) + (2 * 8))) = (7 + ((9 - 2) + (2 * 8))) = (7 + (7 + (2 * 8))) = (7 + (7 + 16)) = (7 + 22) = 29 = 41 (7 + 22) = 41
(7 + (7 + (2 * 8))) = (7 + (7 + 16)) = (7 + 25) = 36 = 38 = 46 = 46 (36 + 36) = 54 = 90 = 54 = 54 3 + (36 + 54) = 54 = 54 54 = 54 0 = 54
-23
-64
41
(((3 + 9) * (7 * 8)) + ((4 * 5) + 8)) =
((12 * (7 * 8)) + ((4 * 5) + 8)) = 4 (12 + ((4 * 5) + 8)) = 4 (12 + 20) = 32 = 52 = 52 = 52 (2 - 32) = -30 = -30 = -30 (2 - 30) = -30 = -30
(12 * (7 * 8)) = (12 * 56) = 72 = 72 = 72 = 72 = 72 (2 + 2) = 6 = 8 4 (2 + 6) = 8 8 (2 + 6) = 8 8 (2 + 6) = 8 6 (2 + 6) = 8
-49
-81
32
(((6 * 6) + (5 - 5)) - 9) =
(36 + (5 - 5)) = (36 + 0) = 36 (36 + 0) = 36 (36 () = 36) = 36 (36) = 36 (36) = 36 0 (36 () = 36) = 36 0 0 0 0 0 0 0 0
(36 + (5 - 5)) = (36 + 0) = 36 (-36 + (5 - 5)) = (36 + 0) = 36 (36 + 0) = 36 0 = 36 (36) = 36 0 = 36 0 = 36 0 = 36 0 = 36 0 = 36 0 =
-23
-31
8
(((5 * 4) * 1) * (5 * 5)) =
((20 * 1) * (5 * 5)) = ((20 * 1) * 25) = (20 * 25) = 50 = 50 = 50 = 50 = 50 = 50 (5 * 25) = 50 = 50 = 50 = 50 (10 * 25) = 50 = 50 2 = 50 = 50
((20 * 1) * (5 * 5)) = ((20 * 1) * 100) = (20 * 100) = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 = 100 =
-1
-7
6
(((6 * 4) * (8 * 7)) + ((9 - 9) - (2 * 7))) =
((24 * (8 * 7) + (2 * 7))) = ((24 * 56) + ((9 - 9) - (2 * 7))) = ((24 *560) + (9 - (2 * 7))) = ((24 * 56) + (9 - 14)) = (64 + (9 - 14)) = (64 + -5
((4 * (8 * 7)) + ((9 - 9) - (2 * 7))) = (4 * 28) = 56 = 56 = 28 = 28 = 28 = 28 (56 + 28) = 96 = 176 (56 + 24) = 152 (56 + 72) = 208 (56 + 72) = 284 (
-30
-105
75
(((4 - 4) + (9 + 1)) - 2) =
((0 + (9 + 1)) - 2) = ((0 + 10) - 2) = (10 - 2) = 8 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (8 - 2) = 6 = 4 (8 - 6) = 4 (8 - 6) = 4 (8
(0 + (9 + 1)) = (1 + 10) = 11 = 11 = 11 = 11 Differentiate 43*j + 1 + 1 - 45*j with respect to 8. -2 Let w(p) = -2*p - 7. Let o be w(-7). Let u(s) = 9*
0
-22
22
(((7 - 6) - (9 * 3)) - 7) =
(1 - (9 * 3)) - 7) = (1 - 27) = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26 = -26) = -26 = -26 = -26 = -26 = -26 (26 + 26
(1 - (9 * 3)) = (1 - 27) = -26 = -26 = -26 = -26 = -26 (1 - 27) = -26 = -26 = -26 (1 - 27) = -26 = -26 (1 - 27) = -26 = -26
-17
-22
5
(((3 - 9) + (1 + 6)) + 2) =
((-6 + (1 + 6)) + 2) = ((-6 + 7) + 2) = (1 + 2) = 3 = 3 ID = 3 = 3 = 3 = 3 = 3 = 3 (1 + 2) = 3 = 3 = 3 (1 + 2) = 3 (1 + 2
((-6 + (1 + 6)) + 2) = ((-6 + 7) + 2) = (1 + 2) = 3 therefore (2 + 2) = 4 {2 + 2) = 6 = 6 (1 + 2) = 6 = 6 (1 + 2) = 6 (1 + 2
0
-9
9
(((5 + 9) * 3) - (8 * 5)) =
((14 * 3) - (8 * 5)) = ((14 * 3) - 40) = (42 - 40) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2=2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
((14 * 3) - (8 * 5)) = (42 - (8 * 5)) = (42 - 40) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 (42 - 40) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
0
-9
9
(((7 - 3) * (5 - 3)) - 8) =
(4 * (5 - 3)) - 8 = (4 * 2) - 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = (4 * 2) - 8 = 8 = 8 = 8 = 8 = 8 = 8 (4 * 2) - 8 = 8 = 8 (
(4 * (5 - 3)) = (4 * 2) = 8 = 8 (4 * 2) = 16 8 (4 * 2) = 16 32 (4 * 2) = 18 32 (4 * 2) = 16 32 (4 * 2) = 18 32 (4 * 2)
-11
-26
15
(((9 + 2) - (7 - 7)) + (1 - (9 - 2))) =
((11 - (7 - 7)) + (1 - (9 - 2))) = ((11 - 0) + (1 - (9 - 2))) = ((11 - 0) + (1 - 7)) = (11 + (1 - 7)) = (11 + -6) = 5 = 3 = 3 2 (11 + -
(11 - (7 - 7)) = (11 - 0) = 11 = 11 = air = 11 = 11 = 11 = 11 = air = 11 = 11 = search = 11 = 11 = 11 = air = 11 = 11 = 12 = air = 11 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 12 = 12
0
-77
77
(((3 + 4) + 8) - 2) =
((7 + 8) - 2) = (15 - 2) = 13 = 13 = 13 = 13 = 13 = 13 = 13 (13 - 13) = 0 = 0 = 0 = 0 = 0 0 = 0 = 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0
(7 - 8) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = (7 - 2) = 5 = 3 = 3 = 3 = 3) = 0 = 3 = 3 = 3) = 0 = 3 = 3) = 0 = 3) = 0) = 0)
0
-16
16
(((8 + 3) + 2) - (7 - (1 - 4))) =
((11 + 2) - (7 - (1 - 4))) = (13 - (7 - (1 - 4))) = (13 - -3) = 16 = 19 = 17 = 19 = 17 (16 - -3) = 19 = 19 (16 - -3) = 19 (19 - -3)
(11 + 2) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (11 - 13) = (2 - 13) = -11 = -11 = -11 (2 + -11) = -9 = -9 - 7 -9 = -
-24
-58
34
(((1 - 3) * (8 - 4)) * 1) =
((-2 * (8 - 4)) * 1) = ((-2 * 4) * 1) = (-8 * 1) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8) = -8 = -8 = -8 = -
((-1 * (8 - 4)) * 1) = ((-1 * 4) * 1) = (-4 * 1) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4
0
-5
5
(((9 - 5) + (1 * 7)) * (9 + (4 * 8))) =
((4 + (1 * 7)) * (9 + (4 * 8))) = ((4 + 7) * (9 + (4 * 8))) = ( (4 + 7) * (9 + 32)) = (11 * (9 + 32)) = (11 * 41) = 91 = 91 = 91 (11 * 41) =
((4 + (1 * 7)) * (9 + (4 * 8))) = (((4 + 7) * (9 * 8)) * (9 + 32)) = (9 * (9 * 48)) * (9 + 32) = (9 * 72) = 672 = 756 = 96 = 96 (9 + 72)
-3
-42
39
(((9 + 9) - 1) + 8) =
((18 - 1) + 8) = (19 + 2) = 21 = 23 (18 + 8) = 26 (18 + 6) = 36 (18) = 36 42 = 36 (18) = 36 36 (18) = 36 36 (18) = 36 36 (18) =
(18 - 1) = 17. 17 ((6 - 1) + 8) = (7 + 8) = 15 19 (6 + 8) = 14 14 (6 - 8) = -2 -2 (6 - 8) = -2 -2 (6 + 5) = 11 11
-3
-23
20
(((7 + 7) * (1 * 8)) + 5) =
(14 * (1 * 8)) + 5 = (14 * 8) = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 = 112 ((14 * 8) + 5) = (56 + 5) = 61 = 61 = 61 (56) = 61 =
(14 * (1 * 8)) = (14 * 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
-15
-19
4
(((5 - 1) - 6) - 2) =
((4 - 6) - 2) = (-2 - 2) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
((4 - 6) - 2) = (0 - 2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -
0
-4
4
(((1 * 1) * (5 + 7)) * 8) =
((1 * (5 + 7)) * 8) = ((1 * 12) * 8) = (12 * 8) = 96 = 96 = 96 (12 * 8) = 96 = 96 9 = 96 9 96 96 96 96 96 96 96
(1 * (5 + 7)) * 8) = (1 * 12) = 12 = 12 = 12 = 12 = 12 Jets (12) = 12 = 12 = 12 Jets (12) = 12 = 12 Jets (12) = 12 Jets (12) = 12 Jets (
0
-15
15
(((8 + 4) - (1 + 1)) * ((2 + 3) + 1)) =
((12 - (1 + 1)) * ((2 + 3) + 1)) = ((12 - 2) * ((2 + 3) + 1)) = (12 * ((2 + 3) + 1)) = (12 * 5) = 30 = 30 = 30 = 30 = 30 (6 - 30) = -18 = -18
((12 - (1 + 1)) * ((2 + 3) + 1)) = ((12 - 2) * ((2 + 3) + 1)) = (12 * (2 + 1)) = (12 * 3) = 36 = 54 = 48 = 48 = 48 = 48 = 48 54 = 51 = 9 5 = 5
-23
-24
1
(((4 * 3) * (8 - 5)) + (5 - 4)) =
(12 * (8 - 5)) = (12 * 3) = 36 = 36 (36 + 36) = 96 = 144 (36 - 144) = -84 = -84 (144 + 84) = 180 24 (144 - 168) = 12 -36 (24 * 4) = 96 48 (24
(12 * (8 - 5)) + (5 - 4) = (12 * 3) = 36 (12 * 3) = 48 24 (12 - 72) = -60 -72 Several weeks earlier, Davis (37) wrapped his games with an 8 (9) + 9. Several weeks earlier, Davis (37
-43
-65
22
(((4 * 6) - 3) * ((6 * 7) - 6)) =
(24 - 3) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 What (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) =
(24 - 3) = 21 = 18 = 18 = 18 = 18 = 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 =
-57
-63
6
(((6 * 6) - 3) - 2) =
(36 - 3) = 31 = 29 = 29 = 29 = 29 = 29 = 29 = 28 = 29 = 29 = 29 = 29 = (29 = 29) = 29 = 29 = 29 = (29 = 29) = (29 = 29 = 29 = 29 = 29 = 29
(24 - 3) = 21 = 18 = 18 (21 - 3) = 18 = 18 (21 + 9) = 27 (27) = 27 (27) = 27 (27) = 27 (27) = 27 (27) = 27 33 (27) = 27 27 (27)
-15
-17
2
(((7 * 4) - (8 - 8)) + (9 * 6)) =
((28 - (8 - 8)) + (9 * 6)) = ((28 - 0) + (9 * 6)) = ((28 - 0) + 54) = (28 + 54) = 88 = 134 = 134 = 134 (28 - 54) = -32 = -28 = -28 This is a great website! I
(28 - (8 - 8)) = (28 - 0) = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 = 28 =
-1
-46
45
(((8 + 4) + (5 - 3)) * ((9 - 3) * 7)) =
((12 + (5 - 3)) * ((9 - 3) * 7)) = ((12 + 2) * ((9 - 3) * 7)) = (12 * ((9 - 3) * 7)) = (12 * 6) = 372 = 72 = 72 = 72 = 72 (72 + 72) = 72 = 72
((12 + (5 - 3)) * ((9 - 3) * 7)) = ((12 + 2) * ((9 - 3) * 7)) = (14 * ((9 - 3) * 7)) = (14 * 6) = 36 = 36
-26
-27
1
(((5 * 9) + (7 + 8)) - 4) =
((45 + (7 + 8)) - 4) = ((45 + 17) - 4) = (68 - 4) = 58 = 62 = 58 = 62 = 22 (58 - 62) = 6 = 2 = 2 = 2 (58 - 6) = 6 = 6 (58 - 6) = 6 = 6 villain = 6
(45 + (7 + 8)) = (45 + 15) = 60 = 75 = 75 (45 + 15) = 75 = 75 (75 + 75) = 120 (80 + 100) = 160 (20 + 80) = 160 20 (20 + 80) = 160 120 (20 + 80) =
-3
-20
17
(((9 * 1) * 7) - 2) =
((9 * 7) - 2) = (63 - 2) = 119 = 119 = 119 = 119 = 119 = 119 = 119 (59 - 2) = 57 = 59 = 59 (59 - 2) = 57 (48 + 57) = 159 (59 + 59) = 159 (59 +
(9 * 7) = 63 = 63 = 63 = 13. 3 (9 + 5) = 44 14 (9 + 4) = 13 17 (9 + 13) = 19 26 (9 + 13) = 22 29 (9 + 13) = 22 29 (9 + 13) = 28
-2
-13
11
(((9 + 9) + 5) + 6) =
(18 + 5) = 23 = 28 = 28 = 28 = 28 = 27 = 27 = 27 1 = 2715 + 31 = 2676 2 = 2725 + 31 3 = 2891 + 2894 1 = 31 + 28 2 = 33 3 = 33 3 = 33
(18 + 5) = 23 = 24. 23 (18 + 5) = 23 = 29. 43 (18 - 9) = 9. 9 (18 - 9) = 9. 9 (1 - 6) = -5 -5 (1 - 6) = -5 -7 (
-13
-23
10
(((7 * 9) - (5 * 9)) + 8) =
(63 - (5 * 9)) + 8 = (63 - 45) = 18 = 12 = 12 = 12 = 12 = 12 = 6) = 15 = 6 = 6 = 6) = 15 = 6) = 15 = 6) = 15) = 15) = 15) = 15) = 15) = 15) = 15) = 15)
( 63 - (5 * 9)) = ( 63 - 45) = 18 = 9.8 = 9.8 = 9.8 (18 - 9) = 9 = 7 (9 + 9) = 18 (18) = 18 (18) = 18 (18) = 18 (18) = 18 9
-16
-20
4
(((8 * 8) * 3) * (6 - 3)) =
(56 * 3) = 168 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 (((8 * 3) * 3) * (6 - 3)) = (56 * 3) = 72 = 144 = 144 ((-6 * 3) * (6 - 3)) = (56
(64 * 3) = 96 = 96 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
-38
-50
12
(((4 + 7) + 6) + 8) =
((11 + 6) + 8) = (17 + 8) = 25 = 28 = 28 = 28 = 28 = 28 Inventive Professional 3 7 1 1 4 6 1 4 1 4 4 4 4
(11 + 6) = 17 (17) = 17 =17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17) = 17 (17
0
-13
13
(((9 + 7) - (4 - 3)) * ((1 - 8) - 8)) =
((16 - (4 - 3)) * ((1 - 8) - 8)) = ((16 - 1) * ((1 - 8) - 8)) = ((16 - 1) * (-7 - 8)) = (15 * (7 - 8)) = (15 * -1) = -15 = -15 = -15 = -15
(16 - (4 - 3)) = (16 - 1) = 15 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = reduced = 10 = 8 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = having 14 = 14 = 14 =
-6
-87
81
(((6 + 2) + 6) * 2) =
((8 + 6) * 2) = (14 * 2) = 28 (14 * 2) = 28 (14 * 2) = 28 14 (14 * 2) = 28 34 (14 * 2) = 28 56 (14 * 2) = 28 28 (14 * 2) = 28
(8 + 6) = 14 = 20 = 20 = 20 (8 + 6) = 26 = 34 = 36 (8 + 6) = 26 = 34 (26) = 1934 = 1934 (26) = 1934 = 1934 0 (((26 + 6) + 1) + 4) = (26 = 1934)
-8
-13
5
(((1 * 6) - (4 - 5)) + 3) =
((6 - (4 - 5)) + 3) = ((6 - -1) + 3) = (7 + 3) = 10 = 14 = 14 =14 =14 =14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14
(6 - (4 - 5)) = (6 - -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)
0
-20
20
(((8 * 1) * (2 * 3)) - ((2 * 6) * (2 + 2))) =
((8 * 1) + ((2 * 6) * (2 + 2))) = ((8 * 1) + (12 * (2 + 2))) = ((8 * 1) + (12 * 4)) = (8 * (12 * 4)) = (8 * 48) = 169 = 269 = 270 = 270 (8 *
(8 * (2 * 3)) = (8 * 6) = 48 = 48 = 48 = 48 = 48 = (8 * 6) = 48 = 48 = 56 = 52 = 32 (8 * 6) = 48 = 48 = 52 (8 * 6) = 48 = 48 8 48
-51
-114
63
(((4 - 6) * 7) + ((7 + 1) - 1)) =
((-2 * 7) + ((7 + 1) - 1)) = (7 + ((7 + 1) - 1)) = (7 + (8 - 1)) = (7 + 7) = 14 = 21 = 28 = 28 (7 + 7) = 28 = 28 = 28 (7 + 7) = 28 = 28
(2 * 7) = 14 = 28 = 28 = 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-18
-85
67
(((7 * 9) + 6) - ((3 * 7) + (3 + 9))) =
((63 + 6) - ((3 * 7) + (3 + 9))) = (63 - ((3 * 7) + (3 + 9))) = (63 - 21) = 42 = 27 = 18 = 18 (42 - 27) = 15 (42 - 27) = 15 (42 - 27) = 15 (
(63 + 6) = 69 = 69 = 69 = 69 = 69 = 69 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 = 70 (69 + 6) = 69 = 69 = 70 = 70 = 70 = 70 (69 + 69) =
-48
-93
45
(((6 * 9) * 9) * (2 - (5 + 5))) =
(54 * 9) = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 = 54; 78 =
(54 * 9) = 54 (54) = 54 8 (54) = 54 30 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
-65
-83
18
(((9 - 9) * (5 + 2)) + 2) =
((0 * (5 + 2)) + 2) = ((0 * 7) + 2) = (0 + 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 * (5 + 2)) = (0 * 7) = 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
-19
19
(((2 - 5) * (5 + 7)) - ((8 - 5) + 9)) =
((-3 * (5 + 7)) - ((8 - 5) + 9)) = ((-3 * 12) - ((8 - 5) + 9)) = ((-3 * 12) - (3 + 9)) = ((-3 * 12) - 12) = (-36 - (3 + 9)) = (-36 - 12) = -
((-3 * (5 + 7)) - ((8 - 5) + 9)) = ((1 * 12) - ((8 - 5) + 9)) = (1 * 12) - (8 + 9) = (1 * 12) - (8 + 9) = 17 + (8 + 9) = 17 + 29) = 17
-27
-36
9
(((6 + 3) + 9) * 5) =
(9 + 9) = 18 = 27 = 27 = 27 5 (3 + 9) = 12 = 18 = 27 6 (3 + 9) = 18 = 27 6 (3 + 9) = 18 = 21 6 (3 + 9) = 18 = 21 6 (3
(9 + 9) = 18.7 (9 + 9) = 18.7 (18.7) = 9 = 21 27 (18) = 9 9 (18) = 9 9 (9) = 9 9 (9) = 9 30 (18) = 9 9 (18
-14
-20
6
(((1 - 3) + 9) - 4) =
((-2 + 9) - 4) = (7 - 4) = 3 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1) = (7 - 4) = 3 = 1 = 1 = 1 = 1 = 1 =
(( Territory + 9) - 4) = (14 - 4) = 10 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 (10 - 4) = 6 = 4 = 6 (6 - 4) = 2 2 (6 + 7) = 13 17 (6 - 4) =
0
-6
6
(((7 - 3) * 7) * 8) =
(4 * 7) = 28 = 28 = 28 = 28 (14 + 29) = 43 = 53 = 53 (14 + 43) = 59 = 71 (14 + 58) = 79 (59 + 71) = 160 (71 + 160) = 215 (210 + 150) = 315
(4 * 8) = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32 = 32) = (32 * 8) = 64 = 64 = 64 (32 * 8) = 64 = 64 (32 * 8) = 64 8 = 64 16
-14
-15
1
(((1 + 8) * (3 * 9)) + (7 * (8 + 8))) =
((9 * (3 * 9)) + (7 * (8 + 8))) = ((9 * 27) + (7 * (8 + 8))) = ((9 * 27) + (7 * 16)) = (261 + (7 * 16)) = (261 + 112) = 367 (61 + 112) = 197 (61 +
((9 * (3 * 9)) + (7 * (8 + 8))) = ((9 * 27) + (7 * (8 + 8))) = (81 + (7 * (8 + 8))) = (81 + 16) = 97 = 137 = 197 (97 = 137) = 197 (137) = 197
-16
-33
17
(((8 * 7) - 4) + 4) =
(56 - 4) = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 (56 + 4) = 60 = 64 = 64 = 64 = 64 : 16 + 64 = 80 (96 + 4) = 100 (96 + 4) = 96 (96) = 96 (96)
(56 - 4) = 50 = 49 = 49 = 49 = 49 (5 - 49) = -52 = -52 = -52 (5 - 52) = -52 = -52 (5 - 52) = -52 = -52 (5 - 52) = -52 = -52 (5
-13
-15
2
(((8 + 2) * 1) * (3 - (7 + 6))) =
((10 * 1) * (3 - (7 + 6))) = ((10 * 1) * (3 - 13)) = (10 * (3 - 13)) = (10 * -10) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 =
(10 * 1) = 10 = 10 (10 * 1) = 10 = 10 0 (10 + 10) = 20 30 (10 + 20) = 30 50 (10 + 10) = 30 40 (10 + 0) = 30 30 (10 + 1) = 30 35 (
-2
-73
71
(((9 * 6) - (9 + 4)) + (1 - (8 + 3))) =
((54 - (9 + 4)) + (1 - (8 + 3))) = (((54 - 9) + (9 + 4)) + (1 - (8 + 3))) = (((54 - 9) + (9 + 4)) + (1 - (8 + 3))) = ( ((54 - 9) + 13) + (
(54 - (9 + 4)) = (54 - 11) = 43 = 32 = 32 = 32 ((41 - 1) + (1 - (8 + 3))) = (41 * (1 - (8 + 3))) = (41 * (1 - 11)) = (41 * -6) = -126 = -126
-59
-107
48
(((3 - 4) - (4 + 5)) * 3) =
((-1 - (4 + 5)) * 3) = ((-1 - 9) * 3) = (-10 * 3) = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30 = -30) = 0 =
((1 - (4 + 5)) * 3) = ((1 - 9) * 3) = (-8 * 3) = -24 = -24 = -24 = -24 = -24 (24 - -24) = 384 = 600 (24 - -10) = 54 (264 - 54) (74 + 54)
0
-8
8
(((6 * 7) - (3 + 5)) * 5) =
(42 - (3 + 5)) * 5 = (42 - 8) = 34 = 34 = 34 (42 - 8) = 30 = 22 = 14 (42 - 8) = 22 = 14 (42 - 8) = 26 (42 - 2) = 26 (42 - 2) = 26 (42 - 2)
(42 - (3 + 5)) = (42 - 8) = 34 = 26 = 26 = 26 ((42 - 8) = 34) = (34 = 34) = 30 = 30 (34 = 34) = 30 = 30 (30 = 30) = 30 (30 = 30) = 30 7 (30 + 30
-17
-21
4
(((6 * 1) - 1) - 8) =
((6 - 1) - 8) = (5 - 8) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (3 - 3) =:0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
((6 - 1) - 8) = (5 - 7) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -
0
-3
3
(((3 * 6) + 6) - (7 + 2)) =
(18 + 6) = 24 = 270 = 270 = 270 = 270 = 270 = 270 = 270 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = (18 + 6) = (24 + 6) = 36 = 36 Gil (2 + 1) = 7 (7 +
(18 + 6) = 24 and (18 + 6) = 30. Gilbert + 24 = 54 and (27 + 6) = 63. 63 (18 + 0) = 18 and (18 + 6) = 24. 24 (18 + 0) = 18 and (18 + 6) = 24. 24 (18
-36
-39
3
(((9 - 1) * (4 + 7)) + 2) =
((8 * (4 + 7)) + 2) = ((8 * 11) + 2) = (88 + 2) = 90 = 92 = 92 (88 + 2) = 94 (68 + 2) = 70 82 (68 - 70) = -2 -6 (78 - 70) = 12 2
((8 * (4 + 7)) + 2) = ((8 * 13) + 2) = (104 + 2) = 106 = 106 = 106 = 106 = 30 (106 + 106) = 106 = 106 = 106 = 1 1 (106 + 106) = 106 = 106 = 2 212 (106 + 106) =
0
-6
6
(((5 * 6) * (7 + 2)) - 3) =
((30 * (7 + 2)) - 3) = ((30 * 9) - 3) = (270 - 3) = 261 = 261 = 261 = 261 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 = 81 (261 - 3) = 261 = 261 = 261 = 81 (261 +
(30 * (7 + 2)) = (30 * 9) = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 (90 * 9) = 90 = 90 = 180 = 180 (90 = 180) = 180 + 180 (90 + 180) = 330 (90 + 180) = 330
-1
-23
22
(((3 + 1) + 6) + 3) =
((4 + 6) + 3) = (10 + 3) = 13 = 19 = 23 = 23 = 23 (13 * 9) = 159 = 195 (13 * 9) = 195 (13 * 9) = 195 (13 * 9) = 195 3 (13 * 9) = 195 39 (13
(4 + 6) = 10 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = 8 = 14 = 14 = 14 = 14 (4 + 6) = 14 = 14 =
0
-13
13
(((6 - 9) + (5 * 5)) + 2) =
((-3 + (5 * 5)) + 2) = ((-3 + 25) + 2) = (22 + 2) = 24 = 26 = 26 (22 + 2) = 28 = 30 266 (22 + 26) = 42 74 (22 + 26) = 42 74 ((2 - 4) +
((3 + (5 * 5)) + 2) = ((3 + 5) + 2) = (8 + 2) = 10 = 22 overt is 22 overt is 22 (8 + 2) = 26 overt is 26 overt is 26 (8 + 2) = 26 overt is 26 overt is 26 (8 + 2)
0
-7
7
(((8 - 2) * 5) - 4) =
(6 * 5) = 30 = 30. 30 (6 + 5) = (11) = 26. 31 ((6 + 5) - 4) = (11) = 25 21 ((6 + 4) - 4) = (10 - 4) = 6 14 (6 - 4) = 2 2
(6 * 5) = 30 = 30. 30 (6 * 5) + (6 - 4) = (30 + 4) = 34 = 38 34 (6 * 5) + (6 - 4) = (30 + 1) = 31 37 (6 * 5) + (6 - 4) = (30
-22
-32
10
(((2 - 5) + 6) + (2 + (4 + 6))) =
((-3 + 6) + (2 + (4 + 6))) = ((-3 + 6) + (2 + 10)) = (3 + (2 + 10)) = (3 + 12) = 15 = 23 = 23 (15 + 15) = 30 (30 + 30) = 45 75 (30 + 30)
((3 + 6) + (2 + (4 + 6))) = ((3 + 6) + (2 + 10)) = (9 + (2 + 10)) = (9 + 12) = 21 = 24 = 36 (24 + 26) = 50 = 86 (24 + 26) = 50
0
-6
6
(((6 - 3) - (8 - 3)) * 5) =
((3 - (8 - 3)) * 5) = ((3 - 5) * 5) = (-2 * 5) = -10 = -10 = -10 = -10 = -10 = -10 (10 + -10) = 5 = 0 = 5 0 British Standards The National Institute of Standards and Transportation applied the
((3 - (8 - 3)) * 5) = (2 * 5) = 10 = 10. 10 (2 * 5) = 10 10 (2 * 5) 10 (1 * 5) 5 2 2 2 2 2 2 2 2 2 2 2
0
-54
54
(((4 - 2) - (2 + 2)) * ((9 - 1) - (5 * 6))) =
((4 - (2 + 2)) * ((9 - 1) - (5 * 6))) = ((4 - 4) * ((9 - 1) - (5 * 6))) = ((4 - 4) * (8 - (5 * 6))) = ((4 - 4) * (8 - 30)) = (0 * (8
((2 - (2 + 2)) * ((9 - 1) - (5 * 6)) ) = ((2 - 6) * ((9 - 1) - (5 * 6))) = ((2 - 6) * (10 - (5 * 6))) = ((2 - 6) * (10 - 30)) = (4 *
-25
-32
7
(((4 * 4) - 3) * (7 + (3 - 8))) =
((16 - 3) * (7 + (3 - 8))) = ((16 - 3) * (7 + -5)) = (13 * (7 + -5)) = (13 * 2) = 26 = 26 = 26 = [26 - 26] = 0 = 0 = 0 = 0 (0 + 0) = 0 = 0
(16 - 3) = 11 = 10 (16 - 3) = 11 (16 - 3) = 13 (16 - 3) = 13 (17 - 13) = 8 (17 - 13) = 5 (7 - 8) = 3 -1 (17 - 13) = 5 2 (7 -
0
-62
62