question
stringlengths
22
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response_j
stringlengths
11
474
response_k
stringlengths
5
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score_j
float64
-131
0
score_k
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-209
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magnitude
float64
1
189
(((5 - 3) + (9 + 2)) * 4) =
((2 + (9 + 2)) * 4) = ((2 + 11) * 4) = (13 * 4) = 52 = 52 = 52 = 52 (8 * 4) = 96 = 96 (8 * 4) = 96 = 96 8 (8 + 4) = 16 24 (8 + 4) =
(2 + (9 + 2)) = (2 + 11) = 13 = 13 = 13 = 13 = 13 = 13 = 13 (2 + 11) = (13 = 13) = 26 = 26 (13 = 26) = 39 (13 = 39) = 39 (13 = 39) = 39 (13 = 39
0
-20
20
(((2 - 1) + (6 - 3)) - 8) =
((1 + (6 - 3)) - 8) = ((1 + 3) - 8) = (4 - 8) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4
(1 + (6 - 3)) = (1 + 3) = 4.2 = 4.2 (1 + 3) = 4.2 = 4.2 (1 + 3) = 4.2 = 4.2 (1 + 3) = 4.2 (1 + 3) = 4.2 (1
0
-29
29
(((9 - 3) + 6) + ((5 + 2) * 1)) =
((6 + 6) = (12 + (5 + 1))) = (12 + (12 + 6)) = (12 + 18) = 30 = 42 (12 + 18) = 42 (12 + 18) = 30 (12 + 18) = 30 42 ((12 + 18) + (12 + 8)) =
(6 + 6) = 12 = 18 = 18 = 18 = 18 = 18 = 18 0.1 - (6 + 6) = (6 + 6) = 18 = 18 = 18 6 - 18 = -18 = -18 2 - 14 = -26 6 - 14 = -26 2 -
-35
-57
22
(((9 - 2) * 4) + ((1 * 4) * 5)) =
((7 * 4) + ((1 * 4) * 5)) = ((7 * 4) + (4 * 5)) = (28 + (4 * 5)) = (28 + 20) = 48 = 88 (28 + 2010) = 98 (28 + 20) = 98 (28 + 20) = 98 (98) =
((7 * 4) + ((1 * 4) * 5)) = ((7 * 4) + (4 * 5)) = (28 + (4 * 5)) = (28 + 20) = 56 = 96 (28 + (40 + 5)) = 56 = 96 (56 + -34) = 38 (86 + -34
0
-2
2
(((5 - 2) + 9) + (6 - (2 + 7))) =
((3 + 9) + (6 - (2 + 7))) = (9 + (6 - (2 + 7))) = (9 + (6 - 9)) = (9 + 1) = 8 = 8 = 8 = 8 = 8 = 8 = 8 (9 + 1) = 10 followed by 8 = 8 = 8 = 8
((3 + 9) + (6 - (2 + 7))) = (13 + (6 - (2 + 7))) = (13 + 8) = 21 = 29 = 29 ( Galileo - 11) = (13 + 8) = 21 = 29 ( ( 13 + 8) + (6 - (2 + 7))) =
-16
-25
9
(((2 + 2) + (6 + 4)) * (8 + (6 * 2))) =
((2 + (6 + 4)) * (8 + (6 * 2))) = ((2 + 10) * (8 + (6 * 2))) = ((2 + 10) * (8 + 12)) = (12 * (8 + 12)) = (12 * 20) = 120 = 240 = 360 = 360 = 360 = 360 = 360
(6 + (6 + 4)) = (10 + 10) = 20 = 30 = 30 = 30 = 30 = 30 (10 + 10) = 50 = 70 = 90 The loss of (10 + 10) = 30 = 70 The loss of (10 + 10) = 70 The loss of (10 + 10
-7
-83
76
(((7 * 2) + (2 * 8)) * 6) =
((14 + (2 * 8)) * 6) = ((14 + 16) * 6) = (30 * 6) = 900 = 1030 = 1030 = 1030 = 1030 Looking at the database: (30 * 6) = 600 = 606 = 606 (60) = 60 = 60 = 60 = 60
(14 + (2 * 8)) = (14 + 16) = 30 = 46 = 46 = 46 = 46 = 46 = 46 (26 + 66) = (70) = 66 = 66 | 86 (26 + 66) = 106 = 146 = 142 (26 + 66) = 106 (66 - 106) = -20
-2
-21
19
(((6 * 8) + 7) - 6) =
(48 + 7) = 5 I'm 86 and 87 = 5 I'm 86 and 87 = 5 (5 + 5) = 16 (16) = 16 (16) = 16 (16) = 16 (16) = 16 (16) = 16 (16) = 16
(48 + 7) = 55 = 55 (55 + 55) = 10 (55 = 55) = 10 5 (55 + 10) = 65 85 (55 + 65) = 130 195 (65 + 55) = 130 55 (65 + 65) = 130 85 (65 + 65) =
-22
-23
1
(((3 * 4) + (7 + 5)) * 9) =
((12 + (7 + 5)) * 9) = ((12 + 12) * 9) = (24 * 9) = 84 = 108 = 112 = 128 = 128 (84 + 108) = 202 = 286 (84 + 108) = 285 (108 + 143) = 271 (84 + 143) = 259 (84 +
(12 + (7 + 5)) = (18 + 12) = 30 = 48 = 48 = 48 = 48 =
-3
-24
21
(((6 + 4) * 2) - (1 * (6 + 6))) =
(( 10 * 2) - (1 * (6 + 6))) = (( 10 * 2) - (1 * 12)) = (20 - (1 * 12)) = (20 - 12) = 8 = 4 4 silicone flLOCK(3) - (1 * 12) = (20 - 12) = 8 4 (20
((10 * 2) - (1 * (6 + 6))) = ((10 * 2) - (1 * 12)) = (20 - (1 * 12)) = (20 - 24) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = - 4 = -
-2
-4
2
(((2 * 3) * (1 - 2)) + ((8 + 1) - 1)) =
((6 * (1 - 2)) + ((8 + 1) - 1)) = ((6 * -1) + ((8 + 1) - 1)) = ((6 * -1) + (8 - 1)) = (-6 + (8 - 1)) = (-6 + 7) = 1 = 1 = 1 = 1 = 1 = 1 =
((6 * (1 - 2)) + ((8 + 1) - 4)) = ((6 * -1) + ((8 + 1) - 4)) = ((6 * -1) + (9 - 4)) = (-6 + (9 - 4)) = (-6 + 5) = -1 = -1 = -1
-4
-7
3
(((5 - 2) + 8) + (4 * (5 * 3))) =
((3 + 8) + (4 * (5 * 3))) = (11 + (4 * 5)) = (11 + 10) = 21 = 36 = 33 (11 + (4 * 5)) = (11 + 10) = 21 = 27 (11 + 10) = 31 = 41 (21 + 21) = 48 (
((3 + 8) + (4 * (5 * 3))) = (9 + (4 * (5 * 3))) = (9 + 10) = 19 = 19 = 19 S(1 + (4 * 3)) = (9 + 48) = 57 S(1 + 24) = 26 S(1 +
-25
-27
2
(((4 * 5) + 6) - ((9 - 4) - 4)) =
((20 + 6) - ((9 - 4) - 4)) = ((20 + 6) - (5 - 4)) = (26 - (5 - 4)) = (26 - 1) = 25 = 25 = 25 (25) = 25 (25) = 25 (25) = 25 (25) = 25
(*10 + 6) = (16 + 6) = 22. 1 13 6 8 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
0
-64
64
(((7 - 1) * 8) * ((4 + 2) * (8 - 5))) =
((6 * 8) * ((4 + 2) * (8 - 5))) = ((6 * 8) * (6 * (8 - 5))) = ((6 * 8) * (6 * 3)) = (48 * (6 * 3)) = (48 * 18) = 264 (72) = 362 (72) = 362
(6 * ((4 + 2) * ((4 - 2) * (8 - 5))) = (6 * (6 * 2)) = (6 * 7) = 42 = 114 = 114 = 114 = 6. -6 (6 * 7) = 42 = 94 = 94 = 94 = 6 34 (6 *
-6
-58
52
(((5 * 3) + 9) - (2 - (3 + 5))) =
((15 + 9) - (2 - (3 + 5))) = (15 - (2 - (3 + 5))) = (15 - 8) = 7 = 5 = 5 The question posed by E is not if the Ham (as in Hamlet) did something, per se, but whether the (as in Hamlet) within that (
(15 + 9) = 24 + 24 = 48 = 48 = 48 = 48 (24 + 24) = 48 = 96 = 96 (24 + 48) = 96 (36 - 96) = -72 -36 -36 (36 + 68) = 96 104 (24 + 68) = 176 28
-27
-56
29
(((8 + 9) + (2 + 6)) * (8 * 2)) =
(17 + (2 + 6)) = (17 + 8) = 25 = 40 (17 + 8) = 51 (17 + 8) = 59 (17 + 58) = 73 (71 - 69) = 2 1 (17 + 58) = 71 89 ((17 + 78) - 71) = (
(17 + (2 + 6)) = (17 + 8) = 25 = 30 = 30 (17 + 8) = 41 (17 + 44) = 53 (17 + 41) = 60 (42 + 60) = 123 (63 + 63) (63 + 63) (84 - 123) = -33
-56
-57
1
(((4 - 8) * 5) * ((5 + 4) + 8)) =
((-4 * 5) * ((5 + 4) + 8)) = ((-4 * 5) * (9 + 8)) = (20 * (9 + 8)) = (20 * 17) = 340 = 340 = 40 (20 + 170) = 210 = 265 (20 + 170) = 105 = 265 (
((-4 * 5) * ((5 + 4) + 8)) = ((-4 * 5) * (9 + 8)) = ((-4 * 5) * 17) = (-20 * 17) = -340 = -340 = -340 = -340 = -340 = -340 = -340 = -340 = -340 = -340
-4
-8
4
(((3 + 4) * 4) + (4 + (8 - 5))) =
(7 * 4) + (4 + (8 - 5))) = (7 * 4) + (4 + 3)) = (7 * 4) + (4 + 3)) = (7 * 4) + 7) = 28 = 28 = 28 = 0 = 28 = 28 0 = 28 = 28 0 = 28 = 28 0
(7 * 4) = 28 = 28 (7 * 4) = 28 = 28 8 (8 - 28) = -16 -12 (8 + 4) = 16 16 (8 + 16) = 24 24 (8 + 16) = 24 32 (8 + 16) = 24 28
-16
-62
46
(((2 * 8) * (6 - 9)) + 1) =
(16 * (6 - 9)) = (16 * -3) = -48 = -48 -48 (16 * -3) = -39 = -39 -39 (16 * -3) = -9 - 18 (16 * -3) = -18 -18 (16 * -3)
(32 * (6 - 9)) = (32 * -3) = -96 = -96 (96 - 9) = 99 (99) = 81 (81) = 81 (81) = 68 97 (81) = 68 71 (81) = 68 69 (81) = 68 69
-33
-40
7
(((3 + 6) - 1) + ((2 * 1) - (7 * 1))) =
(9 - (2 * 1)) = (9 - 2) = 7 = 7 = 7 = 7 = 7 = 7 The 5 = 7 = 7 = 7 = 7 = 7 = 7 6 = 7 = 7 = 7 3 + 7 = 10 4 = 10 4 = 10 4 = 10
(9 - 1) = 8 (9 - 1) = 8 (8 - 8) = 0 (0) = 0 =0 0 = 0 0 8 = 0 8 0 8 8 0 8 0 8 0 8 0 8 0 8 0 8
-75
-77
2
(((4 + 5) * (2 * 5)) + ((3 + 3) * (4 - 5))) =
((9 * (2 * 5)) + ((3 + 3) * (4 - 5))) = ((9 * 10) + ((3 + 3) * (4 - 5))) = ((9 * 10) + (6 * (4 - 5))) = ((9 * 10) + (6 * -1)) = (90 +
((9 * (2 * 5)) + ((3 + 3) * (4 - 5))) = ((9 * 10) + ((3 + 3) * (4 - 5))) = (9 + ((3 + 3) * (4 - 5))) = (9 + (6 * (4 - 5))) = (9 +
-21
-39
18
(((2 * 8) * 7) * ((4 * 4) * (2 + 1))) =
(16 * 7) * ((4 * 4) * (2 + 1))) = (16 * 7) * ((4 * 4) * (2 + 1)) = (16 * 7) * (8 * (2 + 1))) = (16 * 7) * (8 * 3) = 52 = 56 = 56 = 56 = 56 = 56
(16 * 7) = 112 = 112. 0 (8 + 2) = 10 12 (10 + 10) = 20 30 (10 + 20) = 30 50 (10 - 30) = -20 -10 (10 + -20) = -10 -10 (10 + -20)
-40
-93
53
(((5 - 4) * (7 * 2)) - (3 * (4 + 8))) =
((1 * (7 * 2)) - (3 * (4 + 8))) = ((1 * 14) - (3 * (4 + 8))) = ((1 * 14) - (3 * 12)) = (14 - (3 * 12)) = (14 - 36) = -22 = -22 = -22 = -22 = -
((1 * (7 * 2)) - (3 * (4 + 8))) = ((1 * 14) - (3 * (4 + 8))) = (1 - (3 * 8)) = (1 - 32) = -29 = -29 = -29 = -29 = -29 (1 - 29) =
0
-26
26
(((4 * 5) * 4) + 7) =
(20 * 4) = 80 (40 * 4) = 160 80 = 160 20 (20 + 4) = 24 28 (20 + 24) = 4 40 (20 + 24) = 44 64 (20 + 24) = 44 64 (20 + 24) = 44 64 (
(20 * 4) = 80 (20 * 4) = 80 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
-15
-31
16
(((5 + 1) + 8) + 2) =
((6 + 8) + 2) = (14 + 2) = 16. 18 (14 + 2) + (14 + 2) = 18 = 20 22 (14 + (14 + 2)) = (14 + (14 + 2)) = (14 + 16) =30 (14 + 16) = 46 90
(6 + 2) = 8 - 8. 0 (6 + 8) = 14 22 (6 + 8) = 14 22 (6 + 8) + (4 - 2) = 6 14 ((6 + 8) + (4 - 2)) = 6 14 (6 + 6) = 18 18
-21
-24
3
(((7 + 7) + 4) * ((5 - 9) * (2 * 1))) =
((14 + 4) * ((5 - 9) * (2 * 1))) = ((14 + 4) * (-4 * (2 * 1))) = (18 * (-4 * (2 * 1))) = (18 * 2) = 36 and (18 * 2) = 72. 144 (18 - 60) =
((14 + 4) * ((5 - 9) * (2 * 1))) = ((14 + 4) * (4 * (2 * 1))) = (20 * (4 * 2)) = (20 * 4) = 80 = 80 Source: (200 * 4) = 800 Masks are expected to remain in place
-38
-42
4
(((8 + 1) - (2 * 4)) + (1 - (1 - 1))) =
((9 - (2 * 4)) + (1 - (1 - 1))) = ((9 - 8) + (1 - (1 - 1))) = ((9 - 8) + (1 - 0)) = (1 + (1 - 0)) = (1 + 1) = 2 = 2 = 2 = 2 = 2 = 2 = 2
((9 - (2 * 4)) + (1 - (1 - 1))) = ((9 - 8) + (1 - (1 - 1))) = ((9 - 8) + (1 - 0)) = (1 + (1 - 0)) = (1 + 1) = 2 - 2 = 2 (1 + 1) =
0
-4
4
(((3 * 9) - 2) - ((1 - 1) + 7)) =
(27 - 2) = 29.1 (27 - 2) = 29.1 (27 - 2) = 29.1 (27 - 2) = 31.5 (27 - 2) = 31.5 (27 - 2) = 29.5 (27 - 2) = 29.5 (27) =
(27 - 2) = 23 = 21 = 21 = 21 = 21 = 21 = 21 (27 - 2) = 25 = 23 = 21 (27 - 2) = 25 = 17 ((27 - 2) - 25) = 25 = 17 (27 - 17) = 14 (17 - 17) = 0 1
-57
-59
2
(((2 - 7) * (3 - 9)) - (8 + (7 + 6))) =
((-5 * (3 - 9)) - (8 + (7 + 6))) = ((-5 * -6) - (8 + (7 + 6))) = ((-5 * -6) - (8 + 19)) = ((-5 * -6) - 39) = (30 - 39) = -9 = -9 = -
((-5 * (3 - 9)) - (8 + (7 + 6))) = (((-5 * -6) - (8 + (7 + 6))) = ((-5 * -6) - (8 + 11)) = ((-5 * -6) - 15) = (30 - 15) = 15 = 15 = 15 =
-14
-16
2
(((8 + 7) + 7) + ((6 * 5) * (5 - 6))) =
((15 + 7) + ((6 * 5) * (5 - 6))) = ((15 + 7) + (30 * (5 - 6))) = (32 + (30 * (5 - 6))) = (32 + -5) = 27 = 42 = 42 = 42 = 42 01.3 1 1
(15 + 7) = 22 = 23 = 23 = 23 (23) = 23 = 23 (23) = 23 (23) = 23 (23) = 23 (23) = 23 (23) = 23 (23) = 23 (23) = 23 (33) = 23 (23) =
-34
-101
67
(((5 + 3) - (5 * 9)) - (8 * (3 + 4))) =
((8 - (5 * 9)) - (8 * (3 + 4))) = ((8 - 45) - (8 * (3 + 4))) = ((8 - 45) - (8 * 7)) = (-37 - (8 * 7)) = (-37 - 56) = -87 = -87 = -87 = -87 = -
((8 - (5 * 9)) - (8 * (3 + 4))) = (=(8 - 75) - (8 * (3 + 4))) = ((8 - 75) - (8 * 7)) = (72 - (8 * 7)) = (72 - 56) = 28 (8 + 56) = 74 (72
-4
-67
63
(((6 + 4) - (2 * 2)) * ((3 + 5) + (5 - 6))) =
((10 - (2 * 2)) * ((3 + 5) + (5 - 6))) = ((10 - 4) * ((3 + 5) + (5 - 6))) = ((10 - 4) * (8 + (5 - 6))) = ((10 - 4) * (8 + -1)) = (6 * (8 + -
((12 - (2 * 2)) * ((3 + 5) + (5 - 6))) = ((12 - 4) * ((3 + 5) + (5 - 6))) = (12 * ((3 + 5) + (5 - 6))) = (12 * (3 + (5 - 6)) = (12 * -1) = -
-12
-38
26
(((6 + 7) + 9) - (4 + 9)) =
((13 + 9) - (4 + 9)) = ((13 + 9) - 13) = (22 - 13) = 9 = 7 = 7 = 7 = 7 = 7 (7 + 7) = 14 = 21 = 21 (14 + 14) = 21 = 21 (14 + 14) = 21 (14 - 21
(13 + 9) - (4 + 9)) = (22 - (4 + 9)) = (22 - 11) - (3 - 9)) = (22 - 11) - (2 - 9)) = (22 - 11) - (2 - 9)) = (22 - 11) - (2 - 9)) = 22 - -7
0
-40
40
(((4 - 2) * 6) - (8 * 4)) =
((2 * 6) - (8 * 4)) = (12 - (8 * 4)) = (2 - 32) = -30 = -30 = -30 = -30 = -30 = -30 = -30 (2 - 30) = -30 = -30. -30 (2 - 30) = -30 =
(2 * 6) = 12 = 24 = 48 = 48 = 48 (2 * 6) = 48 = 48
-10
-39
29
(((9 + 5) * (1 + 1)) * (2 * (3 * 6))) =
((9 * (1 + 1)) * (2 * (3 * 6))) = ((9 * 2) * (2 * (3 * 6))) = ((9 * 2) * (2 * 18)) = (18 * (2 * 18)) = (18 * 54) = 618 = 618 = 618 = 618
(14 * (1 + 1)) = (14 * 2) = 28 = 56 = 56 = 56 = 56 = 56 = 76 (14 * 2) = 68 = 68 = 68 (14 * 2) = 68 (14 * 2) = 68 188 (14 * 2) = 68 142 (14 * 2
-13
-82
69
(((9 + 5) * 4) + 4) =
(14 * 4) = 56 = 56 = 56 = 56 = 56 = 56 = 36 (56 + 86) = 318 = 496 = 182 (58 + 178) = 286 = 412 (78 + 182) = 294 = 451 (90 + 182) = 491 (90 + 182) =
(14 * 4) = 56 = 56 What is (14 * 4) + (56 + 4) = 64 8 = 64 64 = 64 8 64 64 64 64 64 64 64 64 64 64 64
-14
-34
20
(((4 - 9) + (8 * 2)) + (7 - (2 * 2))) =
((-5 + (8 * 2)) + (7 - (2 * 2))) = ((-5 + 16) + (7 - (2 * 2))) = ((-5 + 16) + (7 - 4)) = ((-5 + 16) + 3) = (11 + 3) = 16 = 23 Joy = 16 Since
(5 + (8 * 2)) + (7 - (2 * 2))) = (5 + 16) = 21 = 26 = 26 = 26 = 26 = 26 = 26 0 = 21 = 21 1 = 21 2 = 21 3 = 21 3 3 3 3
-10
-65
55
(((7 * 9) * 3) * 1) =
(63 * 3) = 189 from (63 from) = 81 = 84 = 84 = 84 = The bridge at Ryder is constructed of native American in-fill materials. Peacock got his $1.9 million figure (for nine months of structure) from $1.9 million. Peacock and his Arconic Co. friends
(63 * 3) = 987. 123 (63 + 18) = 75. 99 (63 + 75) = 138 171 (3 - 9) = -6 -3 (3 - 6) = -3 -3 (3 + 6) = 9 9 (9 - 9) =
-14
-28
14
(((8 + 4) + (5 - 7)) + ((9 + 1) * (7 - 5))) =
((12 + (5 - 7)) + ((9 + 1) * (7 - 5))) = ((12 + -2) + ((9 + 1) * (7 - 5))) = ((12 + -2) + (10 * (7 - 5))) = ((12 + -2) + (10 * 2)) = (10 + (10
(12 + (5 - 7)) = (12 + -2) = 10 = 10 = 10 = 10 = 10 (10 + 10) = 20 = 30 (10 + 10) = 30 (10 + 30) = 40 70 ((10 + 10) + (10 - 1)) = 40 50 (10 + 10
-17
-124
107
(((2 + 5) - (7 * 6)) + (8 + 3)) =
((7 - (7 * 6)) + (8 + 3)) = ((7 - 42) + (8 + 3)) = ((7 - 42) + 11) = (-35 + 11) = -24 = -24 = -24 (34 + 11) = 45 = 59 (34 + 11) = 59 (59) = 59
(7 - (7 * 6)) + (8 + 3) = (7 - 42) = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -
0
-39
39
(((2 * 5) - (7 * 7)) + (4 * (5 * 9))) =
(10 - (7 * 7)) + (4 * (5 * 9))) = (10 - 49) + (4 * (5 * 9)) + (4 * 45) = (10 + 45) = 55 = 55 = 5 = 55 = 5 = 55 = 5 = 55 0 5 8 8
(10 - (7 * 7)) + (4 * (5 * 9))) = (10 - 49) = -39 = -39 = -39 3 (6 - 49) = -37 = -37 -11 (6 - 49) = -37 -37 (6 - 49) = -43 -43
-54
-63
9
(((4 - 7) + 2) + 4) =
(-3 + 2) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1
(3 + 4) = 7 = 9 (3 + 4) = 14 = 19 5 (3 - 4) = -1 -1 (3 + 4) = 14 17 (6 + 14) = 19 22 (6 + 19) = 25 29 (6 + 29) = 35 49
-14
-22
8
(((8 + 2) + 2) - (1 * (4 + 5))) =
((10 + 2) - (1 * (4 + 5))) = ((10 + 2) - (1 * 9)) = (12 - (1 * 9)) = (12 - 9) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 =
(10 - 2) = 8 = 6 shy (8 + 8) = 16 = 24 = 24 (8 + 8) = 16 = 16 4 16 24 4 16 24 24 24 24 24 24 24
0
-57
57
(((8 * 9) * 3) * 2) =
(72 * 3) = 216 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.7 = 264.
(72 * 3) = 216 = 456 (72 * 3) = 216 72 Two (72) = 234 234 Let t(q) = -4 + 4. 0 (19 - 2) = 18 26 (5 - 1) + 4 6 (5 - 1) = 4 4
-16
-21
5
(((4 - 7) + (4 + 8)) - (2 * (3 * 8))) =
(-3 + (4 + 8)) = ( (6 + 12) - (2 * (3 * 8))) = (6 - (2 * 24)) = (6 - 48) = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 (6 - 48) = -42
(1 + (4 + 8)) = (1 + 12) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (1 + 12) = 13 = 13 = 13 = 13 (1 + 12) = 13 = 13 (1
-48
-87
39
(((6 + 7) - (6 + 4)) - ((6 - 9) * (9 + 4))) =
((13 - (6 + 4)) - ((6 - 9) * (9 + 4))) = ((13 - 10) - ((6 - 9) * (9 + 4))) = ((13 - 10) - (-3 * (9 + 4))) = ((13 - 10) - (-3 * 13)) = (3 - (-3 * 13))
(13 - (6 + 4)) = (13 - 10) = 3 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
-11
-122
111
(((4 + 6) - (1 - 2)) - ((5 + 4) + 1)) =
((10 - (1 - 2)) - ((5 + 4) + 1)) = ((10 - -1) - ((5 + 4) + 1)) = (10 - (9 - 1)) = (10 - 8) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 =
(10 - (1 - 2)) - ((5 + 4) + 1)) = (10 - -1) = 11 = 12 = 12 = 12 (11 - -1) = 12 = 13 (11 - -1) = 14 15 (11 - -1) + (11) = 12 13 (11 - -
-26
-69
43
(((2 + 1) + 9) * 7) =
(3 + 9) = 12 = 15 = 12 = 12 = 12 = 12 (3 + 9) = 18 = 21 = 12 = 12 (3 + 9) = 18 = 18 L (9) = 18 (9) = 18 (18) = 18 1 9 18
(3 * 7) = 21 = 21. 0 (7 + 7) = (14) = 21. 7 (7 + 7) = (14) = 21 7 (7 + 7) = (14) = 21 25 (7 + 7) = 14 19 (7 + 7) = 14
-14
-23
9
(((3 * 2) + 5) + (6 + 3)) =
((6 + 5) + (6 + 3)) = ((6 + 5) + 9) = (11 + 9) = 20 = 29 (11 + 9) = 30 (11 + 9) = 40 (11 = 30) = 41 (41 (51 (51 (51 (51 (51 (
(6 + (6 + 3)) = (6 + 9) = 15 = 15 = 15 = 15 (15 + 15) = 30 = 30 (30 + 15) = 45 (30 + 15) = 55 (75 - 55) = 40 (25) = 5 (25) = 5 (5) =
0
-21
21
(((7 - 5) * 6) - ((5 - 4) * 3)) =
((4 * 6) - ((5 - 4) * 3)) = ((4 * 6) - (1 * 3)) = (24 - (1 * 3)) = (24 - 3) = 23 = 23 = 23 (24 - 3) = 21 = 21 (24 - 3) = 21 (24 -
(2 * 6) = 18 = 18 (2 * 6) = 18 (2 * 18) = 36 (18) = 36 (18) = 18 (18) = 18 (18) = 18 (18) = 18 18 (18) = 18 6 (18) = 18 18
-8
-56
48
(((8 + 5) + (5 - 1)) + ((8 - 4) + (1 * 6))) =
((13 + (5 - 1)) + ((8 - 4) + (1 * 6))) = (13 + (5 - (1 * 6))) = (13 + (5 - 6)) = (13 + -1) = 12 = 11 = 11 = 11 = 11 = 11 (0 - 8) = -8 = -8 =
((13 + (5 - 1)) + ((8 - 4) + (1 * 6))) = (13 + (5 - (5 - 1))) = (13 + (5 - 4)) = (13 + 1) = 14 = 15 = 15 = 15 = 15 (1 + 15) = 15 = 15 (1 + 15
-62
-66
4
(((9 - 1) - 4) * ((6 * 2) - 8)) =
((8 - 4) * ((6 * 2) - 8)) = (4 * ((6 * 2) - 8)) = (4 * (12 - 8)) = (4 * 4) = 16 = 32 = 32 = 32 = 32 = 32 = 32 = 32 (4 * 4) = 16 = 32 = 52 = 52
((8 - 4) * ((6 * 2) - 8)) = (4 * ((6 * 2) - 8)) = (4 * 12) = 48 = 112 = 112 = 112 (4 * 12) = 48 = 48 (48 - 112) = -44 = -32 (8 - 32) = -24 (
-9
-23
14
(((6 - 8) * (7 + 7)) * 8) =
(-2 * (7 + 7)) = (-2 * 14) = -28 = -28 = -28 = -28 = (-28 = -28) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
(2 * (7 + 7)) = (2 * 14) = 28 = 56 = 56 = 56 for 28 = 56 for 28 = 56 for 28 = 56 for 56 for 28 = 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for 56 for
-22
-29
7
(((6 + 2) + 3) + 7) =
(8 + 7) = 15 = 29 = 44 = 44
(8 + 3) = 11 = 14 (8 + 3) = 11 13 (8 + 3) = 11 17 (8 + 3) = 11 19 ((6 + 3) + 11) = 17 23 (*8 + 11) = 17 23 (8 + 11) = 17 23
-15
-19
4
(((9 * 9) + (6 + 9)) - ((1 * 2) * (5 * 1))) =
((81 + (6 + 9)) - ((1 * 2) * (5 * 1))) = ((81 + 15) - ((1 * 2) * (5 * 1))) = (81 - (2 * (5 * 1))) = (81 - (2 * 5)) = (81 - 10) = 66 = 66
(81 + (6 + 9)) = (81 + 15) = 96 = 117 = 123 = 147 (117 + 6) = 126 = 153 (147) = 123 (117) = 123 (123) = 93 (93) = 93 0 (83 + 83) = 182 179 (83) = 83
-32
-118
86
(((8 * 1) + (4 + 4)) + (2 + 9)) =
((8 + (4 + 4)) + (2 + 9)) = ((8 + 8) + (2 + 9)) = ((8 + 8) + 11) = (16 + 11) = 27 = 47 = 47 = 47 = 47 External Links 47 = 47 = 47 = 47 = 47 = 47 =
((8 + (4 + 4)) + (2 + 9)) = ((8 + 8) + (2 + 9)) = ((8 + 8) + 11) = (16 + 11) = 29 = 45 (16 + 11) = 53 (31 + 31) = 53 (53) = 73 (73 + 73) =
0
-1
1
(((8 - 6) - (6 + 7)) + ((2 - 5) * (5 + 1))) =
(2 - (6 + (6 + 1)) + ((2 - 5) * (5 + 1))) = (2 - (6 + (6 + 1)) + ((2 - 5) * (5 + 1))) = (2 - (6 + 7) + ((2 - 5) * (5 + 1))) = (2 - (
(2 - (6 + 7)) = (2 - 13) = -11 = -11 = -11 = -11 = -11 (1 - 11) = -8 = -8 = -8 (1 - 11) = -8 = -8 = -8 -- from -8 = -8 -- from -8 =
-80
-124
44
(((4 + 7) - (9 - 2)) - (4 - (2 - 6))) =
((11 - (9 - 2)) - (4 - (2 - 6))) = ((11 - 7) - (4 - (2 - 6))) = ((11 - 7) - (4 - -4)) = (4 - (4 - -4)) = (4 - 8) = -4 = -4 = -4 = -
((9 - (9 - 2)) - (4 - (2 - 6))) = ((9 - 7) - (4 - (2 - 6))) = (9 - (4 - (2 - 6))) = (9 - -2) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 =
0
-31
31
(((4 + 6) - 1) + ((2 * 6) * (4 * 6))) =
((10 - 1) + ((2 * 6) * (4 * 6))) = ((10 - 1) + (12 * (4 * 6))) = ((10 - 1) + (12 * 36)) = (9 + (12 * 36)) = (9 + 228) = 261 = 630 = 630 = 630 The key addition to
((10 - 1) + ((2 * 6) * (4 * 6))) = (10 + ((2 * 6) * (4 * 6))) = (10 + (12 * (4 * 6))) = (10 + 24) = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 34 = 14)
-7
-38
31
(((8 * 8) + (9 * 9)) - (1 + (5 + 8))) =
((64 + (9 * 9)) - (1 + (5 + 8))) = ((64 + 81) - (1 + (5 + 8))) = (64 - (1 + 11)) = (64 - 12) = 52 = 52 = 52
(64 + (9 * 9)) - (1 + (5 + 8))) = (64 - 81) = -35 = -25 = -25 (64 - 81) = -35 = -35 (64 - 81) = -21 (64 + 81) = 85 (85) = 81 (64 + 81) =
-29
-64
35
(((9 - 5) - (2 + 3)) - 3) =
((4 - (2 + 3)) - 3) = ((4 - 5) - 3) = (-1 - 3) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
(4 - (2 + 3)) = (4 - 5) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
0
-20
20
(((3 + 9) * (3 * 7)) - (1 - 8)) =
((12 * (3 * 7)) - (1 - 8)) = ((12 * 21) - (1 - 8)) = (72 - (1 - 8)) = (72 - -7) = 85 = 88 = 88trak = 88 = 88 = 88 7 = 88 8 = 88 8 = 88 8 =
(12 * (3 * 7)) - (1 - 8)) = (12 * 21) - (1 - 8) = (12 * 21) - (1 - 8)) = (12 * 21) - (1 - 8) = -84 = -84 = -84 = -84 = -84 = -84 = -84 = -84
-11
-24
13
(((4 - 8) + (1 - 5)) - 1) =
((-4 + (1 - 5)) - 1) = ((-4 + -4) - 1) = (-8 - 1) = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -9 = -
(-4 + (1 - 5)) - 1) = (-4 + -4) = -8 = -8 = -8 = -8 = -8 (8 + -8) = -8 = -8 = -8 (8 + -8) = -8 = -8 = 8 = -8 =
0
-15
15
(((2 * 5) + (1 - 3)) - ((2 + 3) - 4)) =
((10 + (1 - 3)) - ((2 + 3) - 4)) = ((10 + -2) - ((2 + 3) - 4)) = ((10 + -2) - (5 - 4)) = (8 - (5 - 4)) = (8 - 1) = 7 = 7 (8 - 1) = 7 =
((10 + (1 - 3)) - ((2 + 3) - 4)) = (((10 + -2) - ((2 + 3) - 4)) = ((10 - (2 - 4)) - ((2 + 3) - 4)) = ((10 - -1) - (5 - 4)) = ((10 - -1) -
0
-31
31
(((8 * 4) * 8) - (4 - 1)) =
(32 * 8) - (4 - 1)) = (32 * 8) - (4 - 1)) = (32 * 8) - (4 - 1)) = (64 - (4 - 1)) = (64 - 3) = 61 = 58) = 58 = 58) = 58) = 58) = 58) = 58) =
(32 * 8) = 88 (32 * 8) = 88 64 (32 * 8) = 88 64 (8 * 8) = 56 56 8 (48 - 88) = -40 -08 (16 * 8) = 64 128 (16 * 8) = 64 64 8
-36
-39
3
(((2 * 1) + (7 * 8)) - 5) =
(2 + (7 * 8)) = (2 + 56) = 58 = 54 = 54 (2 + 58) = 60 = 62 (2 + 62) = 64 = 66 (2 + 64) = 64 (64 = 64) (64) (64) (64) (64) (64
(2 + (7 * 8)) = (2 + 56) = 58 = 60 = 60 = 60 (2 + (7 * 8)) = (2 + 64) = 62 = 64 = 60 (2 + 64) = 66 (2 + 64) = 66 (62 + 64) = 91 99 (2 +
-19
-20
1
(((7 - 6) - 1) + ((6 * 3) * (2 - 3))) =
(1 - (1 * (2 - 3))) = (1 - -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
(1 - 1) = (1 - 1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0
-82
-92
10
(((5 * 8) - (1 * 6)) * 2) =
(40 - (1 * 6)) = (40 - 6) = 34 = 28 = 28 = 28 = 28 = 28 (28 - 6) = 22 = 18 = 18
(40 - (1 * 6)) = (40 - 6) = 34 = 34 (34) = 34 (34) = 34 (34) = 34 (34) = 34 0 (34)*((2 - 6) + 3) = (34 + 3) = 37 67 (34) = 34
-19
-24
5
(((7 + 9) - 7) + 2) =
(16 - 7) = 9 = 5 = 5 = 5 (5 + 9) = 14 = 19 (14 + 18) = 31 (14 + 19) = 43 (21 + 43) = 55 (21 + 45) = 66 (21 + 45) = 72 (21 + 45) = 78 (69
(16 - 7) = 9.7 = 6.7 (16 - 7) = 9 = 7 5 (16 - 7) = 9 7 (16 - 7) = 9 7 (16 - 7) = 9 7 (16 - 7) = 9 5 (16 - 7) = 7
-14
-21
7
(((1 - 3) - (5 + 5)) + ((3 + 3) + 2)) =
((-2 - (5 + 5)) + ((3 + 3) + 2)) = ((-2 - 10) + ((3 + 3) + 2)) = (-2 + ((3 + 3) + 2)) = (-2 + (6 + 2)) = (-2 + 8) = 6 = 8 = 8 = 8 0
(2 - (5 + 5)) = (2 - 10) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8
-13
-81
68
(((1 - 2) + 3) - 9) =
((-1 + 3) - 9) = (2 - 9) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = (7 - 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(1 + 3) = 4 = 4 = 4 (4 + 4) = 8 (8 + 8) = 16 (8 + 8) = 24 32 (8 + 8) = 24 32 (8 + 8) = 24 32 (8 + 8) = 24 32 (8 + 8) =
0
-24
24
(((2 + 8) + 1) * ((2 * 7) - (1 * 8))) =
((10 + 1) * ((2 * 7) - (1 * 8))) = ((10 + 1) * (14 - (1 * 8))) = (11 * (14 - 8)) = (11 * 2) = 22 = 44 = 44 = 44 (4) = 8 = 44 (4) = 8 (4
(10 * ((1 * 7) - (1 * 8))) = (10 * (2 - (1 * 8))) = (10 * (2 - 8)) = (10 * 6) = 30 = 60 = 60 = 60 = 60 (10 * 6) = 30 = 60 = 30 = 60 (10 - 30) =
-24
-41
17
(((1 * 6) - 1) * 3) =
(6 - 1) = 5. 5 (6 - 1) = 5. 5 (6 - 1) = 5. 5 (6 - 1) = 5 5 (6 - 1) = 5 5 (6 - 1) 5 (6 - 1) 5 (6 - 1
(6 - 1) = 5: 5: 5 (6 - 1) = 5 5 (6 - 1) = 5 5 4 (6 - 1) = 5 5 (6 - 1) = 5 5 (6 - 1) = 5 5 (6 - 1) = 5
-19
-21
2
(((4 - 1) - (4 + 7)) + (8 - (9 - 1))) =
((3 - (4 + 7)) + (8 - (9 - 1))) = ((3 - 11) + (8 - (9 - 1))) = ((3 - 11) + (8 - 8)) = (-8 + (8 - 8)) = (8 + 0) = 8 = 8 = 8 = 8 (8
((3 - (4 + 7)) + (8 - (9 - 1))) = ( ((3 - 11) + (8 - (9 - 1))) = ((3 - (4 - 7)) + (8 - 80)) = ((3 - -3) + (8 - 80)) = ((3 - -3) + -72) =
-3
-32
29
(((3 + 7) + 1) * 9) =
(10 + 1) = 11 = 11 = 1 = 11 = 1 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11) = (1 + 11) = (11) = 11 = 11 = 11 = 11 = 11 = 11 = 11
(10 + 1) = 11 = 11 (10 + 1) = 11 = 11 (11) = 11 (11) = 11 (11) = 11
-14
-22
8
(((5 - 3) * (9 - 1)) + ((2 * 6) * (7 * 4))) =
(2 * (9 + (9 * 4))) = (2 * 48) = 48 = 96 = 96 = 96 = 96 = 96 = 96 (48 + 96) = 204 = 288 = 72 = 144 = 84 (48 + 96) = 144 = 144 (48 + 144) = 144 24 24
(2 * (9 - 1) * ((2 * 6) * (7 * 4))) = (2 * 7) = 14 = 28 = 28 = 28 = 28 Do 6 and 28 have the same train of thought? 3 6 28 28 27 28 28 28
-116
-120
4
(((5 - 2) - (9 - 5)) + 8) =
((3 - (9 - 5)) + 8) = ((3 - 4) + 8) = (1 + 8) = 9 = 11 = 7 = 7 = 7 = 7 (9 + 9) = [12 - 11] = 1 = 1 = 1 (9 + 9) = [12 - 1] = 11 (1
((3 - (9 - 5)) + 8) = ((3 - 4) + 8) = (1 + 8) = 9 would be 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9
-2
-6
4
(((1 * 2) + 6) + 6) =
(2 + 6) = 8 (8) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 4 = 12 = 12 = 12 = 12 (4 + 12) = 16 = 16 4 8 16 16 16 16 16
(2 + 6) = 8 (6 + 6) = 12 (6 + 6) = 18 24 (6 + 18) = 24 30 (6 + 4) = 10 14 (6 + 4) = 10 14 (6 + 4) = 10 14 (6 + 4) = 10
-11
-16
5
(((5 + 7) * 8) + 5) =
((14 * 8) + 5) = (448 + 5) = 491 (448 + 5) = 491 (448 + 5) = 491 (479 + 49) = 503 (56 + 9) = 65 (53 + 9) = 62 (53 + 9) = 62 (62 + 62)
(14 * 8) + 5. 14 (14 * 8) + 5.1 14 (14 + 5) 19 (14 + 5) 19 (14 + 5) - 9 19 9 (14 - 9) + 9 5 (14 + 9) - 9 1 (14 +
-15
-93
78
(((2 + 7) + 7) + 6) =
((9 + 7) + 6) = (16 + 6) = 22 = 22 = 22 = 22 (18 - 22) = -8 = -8 = -8 Get on top with twenty five (22) = 22 = 22 22 = 22 2 = 22 22 = 22 2 = 22
((9 + 7) + 6) = (16 + 6) = 26 = 38 = 58 = 38 (26 + 38) = 64 = 86 = 114 (26 + 58) = 114 = 145 (94 + 143) = 241 (94 + 143) = 291 (321 - 143) = 174 (131 + 143
0
-1
1
(((3 + 2) * (9 + 1)) + (6 * 1)) =
((5 * (9 + 1)) + (6 * 1)) = ((5 * 10) + (6 * 1)) = (5 + (6 * 1)) = (5 + 6) = 11 = 17 = 17 (5 + 6) = 19 + 11 = 26 (5 + 11) = 28 (5 + 11)
(5 * (9 + 1)) = (5 * 10) = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50 = 50
-11
-43
32
(((5 + 8) - (8 + 5)) - ((4 - 2) * (9 + 5))) =
((13 - (8 + 5)) - ((4 - 2) * (9 + 5))) = ((13 - 13) - ((4 - 2) * (9 + 5))) = ((13 - 13) - (4 * (9 + 5))) = (13 - (4 * 14)) = (13 - 28) = -
((13 - (8 + 5)) - ((4 - 2) * (9 + 5))) = ((13 - 13) - ((4 - 2) * (9 + 5))) = ((13 - 13) - (2 * (9 + 5))) = = (1 - (2 * (2 * (9 + 5))) =
-31
-49
18
(((5 - 4) - (9 * 2)) + ((7 * 3) - 7)) =
((1 - (9 * 2)) + ((7 * 3) - 7)) = (1 - (9 * 2)) = (1 - 18) = -17 = -17 = -17 = -17 = -17 = -17 = -17 = -17 = -17 = -17 = -17) = -17 = -17 =
(1 - (9 * 2)) = (1 - 24) = -23 = -23 = -23 = -23 (1 - 24) = -23 = -23 = -23 (1 - 24) = -23 = -23 - 22 -22) = -23 = -23 - -1 -23
-52
-90
38
(((7 * 5) + 4) + 1) =
((35 + 4) + 1) = (39 + 1) = 40 = 41 (39 + 1) = 40 (40 + 1) = 41 (41 + 1) = 42 (41) = 42 (42) = 42 (42) = 42 0 (42) = 42 0 (42)
(35 + 4) = 39 (39 + 9) = 48 (39 + 9) = 48 9 = 57 (39 + 9) = 54 72 (39 - 9) = 36 30 (39 - 9) = 30 27 (39 + 9) = 33 48 (39 + 9)
0
-18
18
(((4 + 4) * (2 * 8)) - (6 + (1 * 5))) =
((8 * (2 * 8)) - (6 + (1 * 5))) = ((8 * 16) - (6 + (1 * 5))) = ((8 * 16) - (6 + 5)) = (128 - (6 + 5)) = (128 - 11) = 117 = 104 = 104 = 104 = 104 = 104 =
((8 * (2 * 8)) - (6 + (1 * 5))) = ((8 * 16) - (6 + (1 * 5))) = (8 - (6 + (1 * 5))) = (8 - 1) = 7 = 7 = 7 = 7 6 7 7 7 7
0
-29
29
(((3 - 5) + 1) - 1) =
((-2 + 1) - 1) = (-1 - 1) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
((-2 + 1) - 1) = (1 - 1) = 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
-5
5
(((2 * 4) + 2) + (2 * (7 * 2))) =
(8 + (2 * (7 * 2))) = (8 + 14) = 22 (22) = 22 (22) = 22 (2) = 2 (2) = 2 (2) = 2 (2) = 2 (2) = 2 (2) = 2 (2) =
(8 + (2 * (7 * 2)), (2 * 14)) = (8 + 14) = 22 = 22 = 22 = 22 = 22 = 22 = 22 1 = 22 = 22 = 22 1 = 22 = 22 4 = 22 = 22 2 = 22 = 22 4 = 22 = 22
-42
-48
6
(((1 - 8) + (1 + 8)) - 3) =
((-7 + (1 + 8)) - 3) = ((-7 + 9) - 3) = (2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 =
((7 + (1 + 8)) - 3) = ((7 + 9) - 3) = (16 - 3) = 13 = 13 = 13 = 13 = 13 = (13 - 13) = 0 = 0 = 0 = 0 (13 + 0) = 13 = 13 = 13 17 (13 - 13) = 0
0
-8
8
(((7 * 8) - (2 - 3)) * ((6 - 6) - 1)) =
(56 - (2 - 3)) = (56 - -1) = 57 = 58 = 57 = 57 = 57
(35 - (2 - 3)) = (35 - -1) = 36 = 37 (35 - -1) = 36 (36 - 37) = 1 (1) = 1 (1) = 1 (1) = 1 (1) = 1 (1) = 1
-78
-82
4
(((6 - 2) - 3) * (9 - (6 - 9))) =
(4 - 3) * (9 - (6 - 9))) = (4 - 3) * (9 - 0) = 1 (1 - 9) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 =
(4 - 3) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
-22
-59
37
(((4 + 1) * (1 + 8)) - 1) =
((5 * (1 + 8)) - 1) = ((5 * 9) - 1) = (45 - 1) = 44 = 43 (44 + 1) = 45 (44 + 1) = 45 5 (44 + 1) (44) (44) F 08 F 8 F 8 F
((5 * (1 + 8)) - 1) = ((5 * 9) - 1) = (45 - 1) = 45elin = 35 = 35 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 =
0
-1
1
(((2 - 6) + 8) + 5) =
((-4 + 8) + 5) = (4 + 5) = 9 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14) = (4 + 5) = 9 = 9 = 9 = 11) = (4 + 9) = 15)
(4 + 8) = 12 = 16 = 16 = 16 = 16 (12 + 16) = 24 = 32 = 32 8 (12 + 16) = 32 = 44 48 (12 + 44) = 56 68 (12 + 14) = 26 34 (12 + 14) = 34 42 ((
0
-16
16
(((8 * 9) + (5 + 8)) - (5 * (7 * 5))) =
((72 + (5 + 8)) - (5 * (7 * 5))) = (8 - (5 + (7 * 5))) = (8 - (5 + 35)) = (8 - 50) = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -
(72 + (5 + 8)) = (72 + 13) = 85 = 88 = 88 (88 * 13) = 8634 = 971 (88 * 13) = 8634 9 (881 + 1) = 881 1078 (881 + 1) 872 (881 + 1)
-41
-93
52
(((6 - 5) * 1) + ((7 + 7) * 1)) =
(1 + ((7 + 7) * 1)) = (1 * 14) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 (14 - 14) = 2 = 2 = 2 = 2 2 (14 - 14) = 2 = 2 2 (14 - 2) = 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 = 1
-37
-58
21
(((5 - 1) * (7 + 9)) + ((1 * 5) - 5)) =
((4 * (7 + 9)) + ((1 * 5) - 5)) = ((4 * 16) + ((1 * 5) - 5)) = (64 + ((1 * 5) - 5)) = (64 + (5 - 5)) = (64 + 0) = 64 = 64 = 64 = 64 0 (64
((4 * (7 + 9)) + ((1 * 5) - 5)) = ((4 * 18) - ((1 * 5) - 5)) = (4 * (4 - 5)) = (4 * -1) = -4 = -4 = -4 = -4 = -4 =4 = -4 = -4 =
-8
-26
18
(((7 * 1) * (4 - 3)) + ((6 - 4) * (3 * 2))) =
((7 * (4 - 3)) + ((6 - 4) * (3 * 2))) = (7 * (1 * (4 * 2)) + ((6 - 4) * (3 * 2))) = (7 * 2) = 14 = 14 = 14 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7
(7 * (4 - 3)) = (7 * 1) = 7 is 7 = 7 = 7 = 7 (7 * 1) = 7 = 7 (7 = 7) = 7 (7 = 7) = 7 (7 = 7) = 7 (7 = 7) = 7 0
-70
-105
35
(((9 * 3) + (1 - 7)) - ((3 - 3) * 2)) =
((27 + (1 - 7)) - ((3 - 3) * 2)) = ((27 + -6) - ((3 - 3) * 2)) = ((27 + -6) - (0 * 2)) = (21 - (0 * 2)) = (21 - 0) = 21 = 21 = 21 = 21 (
((27 + (1 - 7)) - ((3 - 3) * 2)) = ((27 + -4) - ((3 - 3) * 2)) = (27 - (3 - 3)) = (27 - 0) = 27 = 27 = 27 = 27 = 27 (27 - 0) = 27 = 27 (27 + 0
0
-26
26
(((8 + 5) + 5) - 7) =
((13 + 5) - 7) = (18 - 7) = 11 (7 - 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0: 0 (7 - 7) = 0 = 0 = 0 = 0 0 = 0 = 0 = 0 0 = 0 0 = 0
(13 + 5) = 18 = 19 = 18 = 9 = 9 = 9 = 9 = 9 = 9 = 9) = (18 + 18) = 36 = 60 = 72 = 72 (36 - 72) = 12 = 36 = 36 4 (33 + 58) = 71 (13 - 71) = -52 -
-7
-13
6
(((5 + 6) - (4 * 6)) * 4) =
((11 - (4 * 6)) * 4) = ((11 - 24) * 4) = ((11 - 24) * 4) = (-17 * 4) = -68 = -68 = -68 represents a derivative of -6 + 6 0 (6 - 6) = 0 0 (7 - 3) = 4
(11 - (4 * 6)) = (11 - 24) = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13) = -13 = -13 = -13 = -13 = -13 = -13 = -13
-18
-22
4
(((9 - 5) * (8 + 8)) * 5) =
((4 * (8 + 8)) * 5) = ((4 * 16) * 5) = (64 * 5) = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160 = 160
((4 * (8 + 8)) * 5) = ((4 * 24) * 5) = (96 * 5) = 480 = 480 = 480 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120 = 2120
-2
-6
4