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
|
|---|---|---|---|---|---|
(((5 - 6) - 4) + 6) =
|
(-1 - 6) + 6 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5
|
(1 - 4) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (1 - 3) = -3 = -3 = -3 = -3 =
| -11
| -16
| 5
|
(((4 * 9) + 5) * ((8 - 5) - (8 - 3))) =
|
(36 * ((8 - 5) - (8 - 3))) = (36 * 3) = 108 = 216 = 288 = 481 = 703 = 703
{1 + 9} = (9) = 9 = 9
(9) = 9
(9) = 9
(9) = 9
(9) = 9
|
(36 + 5) = 41 = 46 = 51 = 21 = 21 = 21
(36 + 5) = 51 = 51 = 51
(36 + 5) = 51 = 51
(36 + 5) = 51
(41 + 41) = 92
(91 + 91) = 92
9
| -71
| -103
| 32
|
(((1 * 7) * (9 * 1)) * ((6 * 2) + (3 + 1))) =
|
((7 * (9 * 1)) * ((6 * 2) + (4 - 2))) = ((7 * 9) * ((6 * 2) + (4 - 2))) = ((7 * 9) * (12 + (4 - 1))) = ((7 * 9) * (12 + 3)) = (63 * (12 + 3))
|
((7 * (9 * 1)) * ((6 * 2) + (3 + 1))) = ((7 * 9) * ((6 * 2) + (3 + 1))) = ((7 * 9) * (12 + (3 + 1))) = (57 * (12 + (3 + 1))) = (57 * (
| -23
| -32
| 9
|
(((4 * 8) * (9 - 2)) + 4) =
|
(32 * (9 - 2)) = (32 * 7) = 126 = 126 = 126 = 126 = 126 = 126 = 126 = 126 = 126 = 126
(56 - 126) = -50 = -50 = -50 = -50 = -6
(56 - 126) = -50 = -50 = -50
(50
|
(32 * (9 - 2)) = (32 * 7) = 107 = 107
(107) = 107 = 107
(77) = 107
(77) = 107
(77) = 107
(107) = 107
(107) = 107
(107) = 107
(107) = 107
(107) =
| -22
| -29
| 7
|
(((5 + 6) * (2 - 1)) + ((9 * 2) * (8 * 9))) =
|
((13 * (2 - 1)) + ((9 * 2) * (8 * 9))) = ((13 * 1) + ((9 * 2) * (8 * 9))) = ((13 * 1) + (18 * (8 * 9))) = ((13 * 1) + (18 * 72)) = (13 * (18 * 72
|
((-1 * (2 - 1)) + ((9 * 2) * (8 * 9))) = ((-1 * 1) + ((9 * 2) * (8 * 9))) = (1 + ((9 * 2) * (8 * 9))) = (1 + 18) = 18 = 18 = 18 = 18
| -23
| -53
| 30
|
(((4 + 6) - (9 - 8)) - 8) =
|
((10 - (9 - 8)) - 8) = ((10 - 1) - 8) = (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 =
|
(10 - (9 - 8)) = (10 - 1) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 =
| 0
| -19
| 19
|
(((3 - 4) * (4 + 3)) * 5) =
|
((1 * (4 + 3)) * 5) = ((1 * 7) * 5) = (7 * 5) = 35 = 35) = 35 = 35, =5 = 15) = 20 = 20) = 20) = 20) = 20) = 20) = 20) = 20) = 20) = 20) = 20) =
|
(1 * (4 + 3)) = (1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 0) = (1 * 7) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 =
| -6
| -27
| 21
|
(((7 + 5) - (5 + 1)) * ((5 + 7) - 6)) =
|
((12 - (5 + 1)) * ((5 + 7) - 6)) = ((12 - 6) * ((5 + 7) - 6)) = ((12 - 6) * (12 - 6)) = (6 * (12 - 6)) = (6 * 6) = 36 = 36 = 84 = 84 = 84 = 84
(
|
((12 - (5 + 1)) * ((5 + 7) - 6)) = (((12 - 6) * ((5 + 7) - 6)) = ((12 - 6) * (8 - 6)) = (6 * (8 - 6)) = (6 * 2) = 12leton Feb LI = (6 * 2) = 12
| 0
| -8
| 8
|
(((8 + 3) * (6 * 8)) * (2 * (5 + 7))) =
|
(11 * (6 * 8)) = (11 * 48) = 3232 = 3232 = 3232 = 3232 = 3232 = 3232 = 3232 = 3232 = to 3232
((11 * 48) * (2 * (5 + 7)) * (2 * (5 + 7))) = (11 * (4 *
|
(11 * (6 * 8)) = (11 * 48) = 481 = 481 = 481 = 481 = 481 = 481
(6 - 8) = (2) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 =
| -81
| -83
| 2
|
(((1 - 5) * (9 * 3)) + ((5 - 1) + 3)) =
|
((-4 * (9 * 3)) + ((5 - 1) + 3)) = ((-4 * 27) + ((5 - 1) + 3)) = ((-4 * 27) + (4 + 3)) = (-36 + (4 + 3)) = (-36 + 7) = -31 = -31 = -
|
((-4 * (9 * 3)) + ((5 - 1) + 3)) = ((-4 * 27) + ((5 - 1) + 3)) = ((-4 * 27) + (5 - 3)) = ((-4 * 27) + (5 - 3)) = (-36 + (5 - 3)) =
| -10
| -30
| 20
|
(((6 + 5) * 4) * 3) =
|
((11 * 4) * 3) = (44 * 3) = 132 = 396 = 828
(52 * 3) = 132 = 132
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
|
(11 * 4) = 44
(44) = 44 = 44
0
(44 * 44) = 208
128
(44 * 44) = 148
112
(44 * 44) = 148
176
and
and
and
9
(9)
and
9
and
9
and
| 0
| -13
| 13
|
(((9 + 6) - (7 - 7)) - 7) =
|
(15 - (7 - 7) - 7) = (15 - 0) = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15 = 15
(15 - 15) = 0 = 0 = 0 = 0 = 0
conservatism or inaccuracy might be the best explanation
|
(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 =
| -16
| -20
| 4
|
(((1 - 6) * (2 * 9)) - ((1 - 3) * (3 + 7))) =
|
((-5 * (2 * 9)) - ((1 - 3) * (3 + 7))) = ((-5 * 18) - ((1 - 3) * (3 + 7))) = ((-5 * 18) - (-2 * (3 + 7))) = ((-5 * 18) - (-2 * 10)) = (-90 -
|
(5 * (2 * 9)) = (5 * 18) = 90 = 90 = 90
(90) = 90 = 90
1
| -28
| -127
| 99
|
(((2 * 5) + 7) * (9 - (6 + 6))) =
|
(10 * (9 - (6 + 6))) = (10 * (9 - 12)) = (10 * 3) = 30 = 60 = 30
(30 = 60) = 90
(30 = 90) + 100 = 110
(90 + 110) = 215
((90 + 110) + 95) = 235
295
|
(10 + 7) = 17 = 24 = 24
(17 + 17) = 28 = 28
(17 + 17) = 28
(28 + 28) = 56
76
(28 + 28) = 56
84
(2 + 6) = 8
8
(2 + 6) = 8
8
(2 + 8
| -37
| -69
| 32
|
(((3 - 7) * (6 * 5)) * 4) =
|
((-4 * (6 * 5)) * 4) = ((-4 * 30) * 4) = (-120 * 4) = -480 = -480 = -480
(3 * 4) = 1276 = 1276
1
((3 * 4) * 4) = 1276
48
1
1
1
1
|
((-2 * (6 * 5)) * 4) = ((-2 * 30) * 4) = (90 * 4) = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 856 =
| 0
| -11
| 11
|
(((6 - 9) - (3 - 3)) - (4 * (4 + 1))) =
|
((-3 - (3 - 3)) - (4 * (4 + 1))) = ((-3 - 0) - (4 * (4 + 1))) = ((-3 - 0) - (4 * 5)) = ((-3 - 0) - 10) = (-3 - 10) = -13 = -13 = -13 = -
|
(-3 - (3 - 3)) = (-3 - 0) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 =
| -9
| -75
| 66
|
(((3 * 7) - 8) - ((1 + 3) * 3)) =
|
((21 - 8) - ((1 + 3) * 3)) = ((21 - 8) - (4 * 3)) = (13 - (4 * 3)) = (13 - 12) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
|
(21 - 8) = 13 = 11 = 11 = 11 = 11
(11 - 8) = 3 = 5 = 6
(5 - 6) = -1 = -1
(5 - 6) = -1 = -1
-1
(7 - 6) = 1
1
(1 - 1) = 0
| 0
| -57
| 57
|
(((2 + 5) + 5) - 7) =
|
(7 + 7) = (14 + 7) = 21 = 26 = 26 = 26 = 26 = 26 = 26 = 26
(14 + 7) = (21 + 21) = 34 = 34 = 34
Morgan Green has been a top 10 fantasy forward for five months, and it stands this alone (fifth) that I think paves
|
(7 + 5) = 12 = 13 = 13 = 13 = 13
(12 - 13) = (1 + 1) = 2 = 2 = 2 = 2
(1 + 1) = 2 = 2 = 2
(1 + 1) = 2 = 2 = 2
3
(1 + 1) = 2
2
(1
| -10
| -14
| 4
|
(((8 * 5) * (7 - 1)) * 6) =
|
(40 * (7 - 1)) = (40 * 6) = 240 = 120 = 90 = 90
(60 + 90) = 210 = 210
(60 + 90) = 270
(60 + 90) = 510
(90 + 90) = 315
(30 + 210) = 315
(45 - 5) = 50
|
(40 * (7 - 1)) = (40 * 6) = 240 = 240.
240
(4 + 1) = 5 = 5.
4
(4 + 1) = 5
5
99 = 98.7
1
7 + 3
10
7
7
7
7
7
7
7
| -20
| -28
| 8
|
(((2 + 6) - 5) * ((5 + 5) - 8)) =
|
((8 - 5) * ((5 + 5) - 8)) = ((8 - 5) * (10 - 8)) = (3 * (10 - 8)) = (3 * 2) = 6 = 12 = 12
(3 * 2) = 12 = 12
12
(3 + 12) = 15
18
(3 +
|
(8 - 5) = 3(3 - 8) = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 = -5 =
| 0
| -54
| 54
|
(((7 - 1) + (1 + 4)) - 2) =
|
((6 + (1 + 4)) - 2) = ((6 + 5) - 2) = (11 - 2) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9
(11 - 2) = 9 = 9 = 9 = 9
|
(6 + (1 + 4)) = (6 + 5) = 11 = 22 = 22 = 22
(38 - 11) = 21 = 17
(21 - 21) = 1
(1 - 1) = 0
0
(1 + 1) = 0
1
(1 - 1) = 0
0
(1
| 0
| -20
| 20
|
(((1 * 8) + 6) + ((8 + 2) + (8 * 3))) =
|
((8 + 6) + ((8 + 2) + (8 * 3))) = ((8 + 6) + (10 + (8 * 3))) = (14 + (10 + (8 * 3))) = (14 + (10 + 24)) = (14 + 38) = 52 = 62 = 62 = 62 = 61
(14
|
(8 + 6) = 14 = 20 = 20
((2 + 6) + ((8 + 2) + (8 * 3))) = (8 + 6) = 14 = 20
(8 + 6) = 22
(8 + 6) = 22
(8 + 6) = 22
(8) = 22
(8
| -13
| -97
| 84
|
(((8 * 9) * (7 + 4)) * 9) =
|
(72 * (7 + 4)) = (72 * 11) = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132 = 132) =
|
(48 * (7 + 4)) = (48 * 11) = 487 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589 = 589
| -23
| -29
| 6
|
(((5 + 1) - (7 - 2)) * 4) =
|
((6 - (7 - 2)) * 4) = ((6 - 5) * 4) = (1 * 4) = 4 = 4 = 4 = 4 = 4 = 4
=4 = 4 = 4 = 4
(1 * 4) = 4 = 4
=4 = 4
=4
=4
=4
=4
|
(6 - (7 - 2)) * 4) = (6 - 5) = 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
| -14
| 14
|
(((3 - 9) - (9 - 4)) * (6 + (1 + 9))) =
|
((4 - (9 - 4)) * (6 + (1 + 9))) = ((4 - 5) * (6 + (1 + 9))) = ((4 - 5) * (6 + 10)) = (-1 * (6 + 10)) = (-1 * 14) = -14 = -14 = -14 = -
|
((6 - (9 - 4)) * (6 + (1 + 9))) = ((6 - 5) * (6 + (1 + 9))) = ((6 - 5) * (6 + 10)) = ((6 - 5) * 14) = (1 * 14) = 14 + 14 = 35
7
(7 - 14)
| -13
| -31
| 18
|
(((6 + 6) - (7 * 7)) - ((4 * 8) + (1 - 8))) =
|
(12 - (7 * 7)) - ((4 * 8) + (1 - 8))) = (12 - 28) - (8 + (1 - 8))) = (12 - 28) - (8 + -7) = -20 - 1 = -20 = -20 = -20 = -20
|
(12 - (7 * 7)) = (12 - 49) = -37 = -37 = -37
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
| -68
| -124
| 56
|
(((2 - 2) - (1 - 8)) - ((7 - 1) - 7)) =
|
((1 - (1 - 8)) - ((7 - 1) - 7)) = ((1 - -7) - ((7 - 1) - 7)) = ((1 - -7) - (7 - 7)) = (8 - (7 - 7)) = (8 - 1) = 723 = 723 = 238
|
(0 - (1 - 8)) = (0 - -7) = 7 = 7 = 7 = 7 = 7
(0 - -7) = (7 = 7) = 7 = 7
(7 = 7) = 7
(7 = 7) = 7
(7) = 7
(7) = 7
(7
| -11
| -75
| 64
|
(((4 - 9) * 6) + (8 * 6)) =
|
((-5 * 6) + (8 * 6)) = ((-5 * 6) + 48) = (-30 + 48) = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 15 = 18
|
(5 * 6) = 30 = 30
(5 * 6) = 30 = 30
(30 = 30) = 30
(30) = 30
1
2
1
1
1
1
1
1
1
1
1
1
| 0
| -37
| 37
|
(((7 - 4) + 2) + ((9 + 2) - (8 + 9))) =
|
((5 + 2) + ((9 + 2) - (8 + 9))) = ((5 + 2) + (11 - (8 + 9))) = ((5 + 2) + (11 - 17)) = (7 + (11 - 17)) = (7 + -6) = 1
(7 + -6) =
|
((3 + 2) + ((9 + 2) - (8 + 9))) = (5 + ((9 + 2) + (8 + 9))) = (5 + (7 + 17)) = (7 + 25) = 32 = 37 = 37
(7 + 17) = 42 = 42
(7 + 17) = 42
| -15
| -48
| 33
|
(((9 + 1) * 4) + (8 * 6)) =
|
((10 * 4) + (8 * 6)) = ((10 * 4) + 48) = (40 + 48) = 88 = 232 = 232
(4 + 48) = 52 = 128 = 128
48 = 128 = 128
(8 + 128) = 140
(8 + 128) = 136
174
(8 + 128
|
((10 * 4) + (8 * 6)) = (40 + (8 * 6)) = (40 + 48) = 88 = 92 = 92 = 92 = 92
H1 = 88 = 92
H1 = 88
H1 = 88
H1 = 88
H1 = 88
(8 + (
| 0
| -8
| 8
|
(((3 - 1) * 1) + 5) =
|
((2 * 1) + 5) = (2 + 5) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = (2 + 5) = 7 = 7 =
|
(2 * 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 = 2 = 2 = 2
| 0
| -13
| 13
|
(((5 - 4) + 4) * ((7 + 2) * (6 * 9))) =
|
((1 + 4) * ((7 + 2) * (6 * 9))) = ((1 + 4) * (9 * (6 * 9))) = ((1 + 4) * (9 * 54)) = (5 * (9 * 54)) = (5 * 108) = 270 = 300 = 270 = 270 = 270 = 270 = 270 =
|
((1 + 4) * ((7 + 2) * (6 * 9))) = ((1 + 4) * (9 * (6 * 9))) = ((1 + 4) * (9 * 54)) = (5 * (9 * 54)) = (5 * 162) = 162 = 378 = 54 = 78 = 78 = 102 = 78 =
| -5
| -7
| 2
|
(((8 + 2) * (3 * 4)) + 5) =
|
(10 * (3 * 4)) = (10 * 12) = 120 = 180 = 180 = 180 = 180
September 10, 2016 62 (6) - 89
September 10, 2016 62 (6) - 89
September 10, 2016 62 (6) - 89
September 10, 2016 62 (6) - 89
|
(10 * (3 * 4)) = (10 * 12) = 120 = 120.
120
(10 * 12) = 120 = 120.
120
(((10 * 12) + 3) + 5) = (120 = 120.
60
(10 * 6) = 90.
90
(10 + 6) = 14
| -20
| -31
| 11
|
(((5 * 7) * 3) - ((8 + 3) * 2)) =
|
((35 * 3) - ((8 + 3) * 2)) = ((35 * 3) - (11 * 2)) = (105 - (11 * 2)) = (105 - 22) = 83 = 91 = 81 = 81
(83 - 21) = 71 = 80
(83 - 21) = 68 — 70
(83
|
() - ((7 * 3) - ((8 + 3) * 2)) * 5) = (7 * 3) = 21 = 27
(21) - (21) = 27
(27) - 51
(27) - 51
(27) - 51
(27) - 51
(27) - 51
(27) -
| 0
| -101
| 101
|
(((2 * 3) + 3) + ((5 - 4) - (1 - 6))) =
|
(6 + 3) = 9. Strip 3 = 9.
(6 + 3) = 9 = 9.
(9 + 3) = 9 = 9.
(9 + 3) = 9.
(9 + 3) = 9.
(9 + 3) = 9.
(9 + 3
|
(6 + 3) = 9 + 9 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 =
| -76
| -86
| 10
|
(((7 + 6) * 9) * ((6 + 5) * 4)) =
|
((14 * 9) * ((6 + 5) * 4)) = (14 * (14 * 5) * 4) = (14 * 30) = 70 = 70 = 70
Symbolic language can be communicated with other speakers and media through signs, by sound, and by writing. Although written language is an essential component to communication, human communication
|
(13 * 9) = 39 = 39
(13 * 9) = 39 = 39
(13 * 9) = 39
(13 = 39) = 39
(13) = 39
(13) = 39
(13) = 39
(39) = 39
(39) = 39
0
(39) = 39
| -33
| -66
| 33
|
(((9 - 8) - 3) * 9) =
|
(1 - 3) = (2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
|
(1 - 3) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
| -11
| -16
| 5
|
(((4 * 1) - 1) * (2 + (9 * 2))) =
|
((4 - 1) * (2 + (9 * 2))) = ((4 - 1) * (2 + 18)) = (3 * (2 + 18)) = (3 * 22) = 99 = 111 = 66 = 33 | 33 | 33
|
(4 - 1) = (3 - 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 = 2
| -3
| -54
| 51
|
(((8 + 5) + 5) - 2) =
|
((13 + 5) - 2) = (18 - 2) = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14
(14 - 14) = 1
(1 - 1) = 0
0 = 0 = 0
0 = 0
0 = 0
0 = 0
|
(13 + 5) = 18 + 17.
9
(13 + 17) = 36 = 49.
95
(13 + 17) = 44 = 54 - 71.
-3
(9 + 22) = 29 = 35.
44
(1 - 9) = -8.
-7
(1 - 9) =
| -1
| -19
| 18
|
(((1 * 8) - 5) - 4) =
|
((8 - 5) - 4) = (3 - 4) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1) = (3 - 1) = 2 = 2 = 2 = 2 = 2 = 2 = 2
|
(8 - 4) = 4
(4 - 4) = 0
(4 - 4) = 0
0
(4 - 4) = 0
0
(0 - 4) = -4
- 4
-4
-4
-4
-4
-4
-4
-4
-4
-
| 0
| -23
| 23
|
(((8 * 5) + (4 * 4)) - (3 * (9 * 4))) =
|
((40 + (4 * 4)) - (3 * (9 * 4))) = ((40 + 16) - (3 * (9 * 4))) = ((40 + 16) - (3 * 36)) = (56 - (3 * 36)) = (56 - 108) = -56 = -56 = -56
(
|
(40 + (4 * 4)) = (40 + 64) = 84 = 100 = 64 = 64
(84 + 84) = 84
(84 + 84) = 144
180
(16 + 8) = 24
26
(16 - 16) = 0
0
(4 + 12) = 16
20
(4
| -2
| -103
| 101
|
(((1 + 5) + (7 - 3)) + (6 - (9 + 2))) =
|
(6 + (7 - 3)) = (6 + 4) = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 5) = (10 + 10) = 25 = 25 = 25 = 25 = 65 = 65
|
(6 + (7 - 3)) = (6 + 4) = 10 = 14 = 14 = 14
(14 + 10) = 24 = 34
(14 + 14) = 34
(14 + 34) = 44
60
(14 + 34) = 44
58
(14 + 34) = 44
62
(14 +
| -77
| -88
| 11
|
(((4 * 9) * 1) - 2) =
|
((36 * 1) - 2) = (36 - 2) = 34 = 34 = 34
(36 - 2) = 34 = 34
(34 - 2) = 38
(34 - 2) = 38
(38 - 2) = 38
(andr = 38) = 38
(38 - 2)
|
(36 * 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 = 2 = 2 = 2 = 2
| 0
| -11
| 11
|
(((1 - 1) - 2) - ((1 + 5) * 7)) =
|
((1 - 2) - ((1 + 5) * 7)) = ((1 - 2) - (6 * 7)) = (-1 - (6 * 7)) = (-1 - 42) = -43 = -43 = -43
(43 - 43) = 0 = 0 = 0 = 0
0 = 0 = 0
|
(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
| -6
| -58
| 52
|
(((6 + 6) + (4 * 3)) * 5) =
|
(12 + (4 * 3)) = (12 + 12) = 24 = 24
(24 + 12) = 36
36
(24 - 24) = 2
2
(4 - 6) = -2
-2
(2 - 2) = 2
2
(2 - 2) = 2
2
(2
|
() * 5) = (0 * 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 = 0 = 0 =
| -27
| -32
| 5
|
(((5 + 1) * 1) - ((2 * 1) + 5)) =
|
((6 * 1) - ((2 * 1) + 5)) = (6 - ((2 * 1) + 5)) = (6 - 2) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 =2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
|
(6 * 1) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = 0.1 = 0.1 = 0.1 = 0.1 = 0.1 = 0.1 = 0.1 = 0.1 = 0.1
| -25
| -58
| 33
|
(((7 + 7) * 2) * ((1 * 4) + 1)) =
|
(14 * ((2 * 2) + 1)) = (22 * 4) = 88 = 88 = 88 = 88 = 88 = 88 = 88
(22 * 4) = 88 = 88 = 88
8 = 88 = 88
8 = 88
8 = 88
8 = 88
1 = 88
|
(14 * (2 * 4)) = (14 * 8) = 112 = 128 = 128 = 128
| -44
| -47
| 3
|
(((5 - 5) - 6) - (2 - 8)) =
|
(0 - 6) - (2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -
|
(0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (0 - 6) = -6 = -6 = - 6 = -6 = -6 = -6 = -6 = -6 = -6 = -
| -23
| -33
| 10
|
(((5 + 9) - (8 - 1)) - ((5 - 9) * 1)) =
|
((14 - (8 - 1)) * ((5 - 9) * 1)) = ((14 - 7) * ((5 - 9) * 1)) = ((14 - 7) * (-4 * 1)) = (7 * (-4 * 1)) = (7 * -4) = -28 = -28
(7 * -4
|
{7 - (8 - (8 - 1))) = (7 - (8 - 7)) = (7 - 1) = 6 = 5 = 5 = 5 = 5
(7 - 1) = 6 = 6 = 5
(7 - 1) = 6
(7 - 1) = 6
(7 - 1) = 6
(
| -8
| -70
| 62
|
(((7 * 7) - 2) - 2) =
|
(49 - 2) = 47 = 45 = 45
(45 + 45) = 120 = 255 = 255
(30 + 55) = 185
265
(30 - 55) = 85
-35
(45 - 105) = -60
-45
(30 + 45) = 105 - 285
-150
(30 -
|
(49 - 2) = 47
(47 - 2) = 45
(47 - 2) = 45
47
(47 - 2) = 45
49
(47 - 2) = 45
49
(47 - 2) = 45
49
(47 - 2) = 45
49
(47 - 2) = 45
| -12
| -16
| 4
|
(((1 - 5) + (1 + 7)) * 9) =
|
((-4 + (1 + 7)) * 9) = ((-4 + 8) * 9) = (4 * 9) = 36 = 36 = 36
(4 * 9) = 72 = 72
(4 * 9) = 72
(72) = 72
(72) = 72
(72) = 72
(72
|
(-4 + (1 + 7)) = (-4 + 8) = 4 = 4 = 4 = 4 = 4 = 4 = 4
(0 + (1 + 7) * 9) = (0 + 9) = 9 = 9
1
(0 + 9) = 9 = 9
9
(0 + 9) = 9
9
| 0
| -20
| 20
|
(((9 * 1) + (5 + 7)) * (9 + (8 * 2))) =
|
((9 + (5 + 7)) * (9 + (8 * 2))) = ((9 + 12) * (9 + (8 * 2))) = ((9 + 12) * (9 + 16)) = (21 * (9 * 16)) = (21 * 128) = 2832 = 4209 = 4421 =
|
(9 + (5 + 7)) = (9 + 12) = 21 = 36
(21 + 24) = 63
(21 + 24) = 63
(21 - 63) = -36
-33
(21 - 63) = -36
-33
(21 - 63) = -36
ID
(21 + 6
| -7
| -79
| 72
|
(((9 + 4) + 8) + 7) =
|
((13 + 8) + 7) = (21 + 7) = 28
(21 + 7) = 34
(21 + 7) = 34
(21 + 7) = 41
(21) = 41
(41) = 41
(41) = 41
(41) = 41
(41) = 41
(41)
|
(13 + 8) = 21 = 29 = 19 = 19 = 19
(21 + 19) = 44 = 65
(21 + 19) = 44 = 65
4
(21 + 19) = 44
4
1
1
2
4
1
1
1
| -8
| -13
| 5
|
(((7 * 2) - (6 + 6)) * ((9 - 2) - (2 * 6))) =
|
((14 - (6 + 6)) * ((9 - 2) - (2 * 6))) = ((14 - 12) * ((9 - 2) - (2 * 6))) = ((14 - 12) * (7 - (2 * 6))) = ((14 - 12) * (7 - 12)) = (2 * (7 - 12))
|
(14 - (6 - (6 * 6))) = (14 - (6 - 36)) = (14 - -30) = 44 = 58 = 54 = 54 = 18 = 54 = 54 = 54 = 54 = 54
(14 - -30) = 74 = 74 = 74 = 54 = 54
(14 - -30) = 74 =
| -14
| -105
| 91
|
(((3 - 3) - 8) + (2 * (6 * 4))) =
|
((0 - 8) + (2 * (6 * 4))) = (0 + (2 * (6 * 4))) = (0 + 16) = 16 = 16 = 16 = 16 = 16
Kathryn Massive (from ∫ 6 + 2) = (16 + 2) = 16 = 16
Kathryn (from �
|
(0 - 8) = -8 = -8 = -8 = -8 = -8) = (8 - 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 = 0 = 0 = 0 =
| -29
| -58
| 29
|
(((3 + 8) - (6 + 9)) + (1 - 4)) =
|
((11 + (6 + 9)) + (1 - 4)) = ((11 + 15) + (1 - 4)) = ((11 + 15) + -3) = (26 + -3) = 23 = 23
(23 + -3) = 20
(20) = 20
(20) = 20
36
24
40
|
((11 - (6 + 9)) + (1 - 4)) = (1 - (6 + 9)) = (1 + 15) = 16 = 16 = 16 =
1
(1 + 15) = 16 = 16
15
(1 + 15) = 16 = 16
15
((1 - (6 + 9)) + (1
| -17
| -33
| 16
|
(((6 - 3) * (6 * 8)) - (3 + 9)) =
|
((3 * (6 * 8)) - (3 + 9)) = ((3 * 48) - (3 + 9)) = ((3 * 48) - 12) = (96 - 12) = 84 = 78
(96 - 12) = 84 = 84
(96 - 12) = 84
(96 - 12) = 84
(
|
(3 * (6 * 8)) = (3 * 48) = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 = 144 =
| -6
| -47
| 41
|
(((7 * 9) * 4) * 5) =
|
(63 * 4) = 482 = 936 = 936 = 936 = 936 = 936 = 936 = 936 = 936 = 936 = 936 = 936 = 936) = (65 * 4) = 194 = 194 = (85 - 194) = -143 = -123 = -123 = -123 =
|
(63 * 4) * 5) = (252 * 5) * 5) = 1264
(252 * 5) * 5) = 1264
24 = 1264
24 = 1264
24 = 1264
Let
24 = 1264
24 = 1264
2012
2012
| -17
| -21
| 4
|
(((8 + 3) * (1 - 4)) - 5) =
|
((11 * (1 - 4)) - 5) = ((11 * -3) - 5) = (-33 - 5) = -44 = -44 = -44 = -44 = -44 = -44 = -44
(44 - 44) = 0 = 0
(44 - 44) = 0
0
(6 - 8)
|
(11 * (1 - 4)) = (11 * -3) = (11 * -3) = -33 = -33 = -33 = -33 = -33 = -33 = -33
= 27 + -33. Let q(l) = 5*l + 6. What (1 - 6) = -5
-5
| -4
| -20
| 16
|
(((4 - 7) - (7 - 7)) * 9) =
|
((-3 - (7 - 7)) * 9) = ((-3 - 0) * 9) = (-3 * 9) = -27 = -27 = -27 = -27 = -27 = -27 = -27 = -27 = -27) = ((-27 * 9) * 9) = -27 = -27 =
|
(1 - (7 - 7)) = (1 - 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 4 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
| 0
| -30
| 30
|
(((2 + 7) * (7 + 1)) - 2) =
|
((9 * (7 + 1)) - 2) = (9 * 8) = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72
(2 + 2) = 70 = 70
(2 + 2) = 70
(
|
(9 * (7 + 1)) = (9 * 8) = 72 = 72
(72) = 78 = 78
(14) = 79
(79) = 79
(79) = 79
(79) = 79
1
(79) = 79
1
(79) = 79
1
(79) =
| -13
| -23
| 10
|
(((3 - 2) - 5) + (3 - (2 - 1))) =
|
((1 - 5) + (3 - (2 - 1))) = (-4 + (3 - (2 - 1))) = (-4 + 1) = (-4 + 1) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 =
|
(1 - 5) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4
| -17
| -56
| 39
|
(((3 + 6) + 2) * (1 + 2)) =
|
((9 + 2) * (1 +2)) = ((9 + 2) * 1) = (11 * 1) = 11 = 11
(1 * 1) = 1 = 1
1
(1 * 1) = 1
1
(1 * 1) = 1
1
2
(1 * 1) = 1
|
(9 + 2) = 11 = 13
2
(9 + 2) = 11
13
(9 - 11) = -2
NP = -2
The NP = -2
-2
(3 + 2) = 5
7
(3 + 2) = 5: 7
9
(3 + 2) = 5
| -5
| -43
| 38
|
(((2 - 1) - 5) * ((9 + 1) - 2)) =
|
((1 - 5) * ((9 + 1) - 2)) = ((1 - 5) * (10 - 2)) = (-4 * (10 - 2)) = (-4 * 8) = -32 = -32 = -32 = -32
(32 - 32) = 0 = 0 = 0 = 0
The starting point for the game
|
((1 - 5) * ((9 + 1) - 2)) = (4 * ((9 + 1) - 2)) = (4 * (10 - 2)) = (4 * 8) = 32 = 32 = 32 =
32
(4 * 8) = 32 = 32 = 32
0
(4 * 8) = 32 = 32
| 0
| -13
| 13
|
(((8 - 3) + (1 - 9)) * 6) =
|
((5 + (1 - 9)) * 6) = ((5 + -8) * 6) = (-3 * 6) = -18 = -18 = -18 = -18 = -18) = -18 = -18 = -18 = -18 = -18 = -18) = -18 = -18 = -18 = -
|
(5 + (1 - 9)) * 6 = (5 + -8) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3
| 0
| -18
| 18
|
(((1 + 1) - 9) - (3 - (4 - 4))) =
|
(2 - (3 - (4 - 4))) = (2 - (3 - 0)) = (2 - 3) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = - 1 = -1 = -1 = -1 = -
|
(2 - 9) = -7 = -7 = -7 = -7 = -7 = -7 = -7
(2 - 9) = -7 = -7 = -7
(2 - 9) = -7
(-7 - 5) = -12 = -12
(~7) = -12
(2 + -
| -29
| -58
| 29
|
(((2 - 6) * 9) * 7) =
|
(4 * 9) * 7) = ( 36 * 7) = 252 = 72. (72 + 7) = 79 = 79. (79 + 7) = 81 = 81. (81 + 7) = 81 = 81. (81 + 7) = 81. (81 = 81) = 81. (81. (81) = 81)
|
(4 * 7) = 28 = 28.
8
(4 * 7) = 28 = 28.
8
(4 * 7) = 28 = 28.
8
(4 * 7) = 7
14
(4 * 7) = 7
28
(4 * 7) = 7
14
(4 * 7
| -13
| -29
| 16
|
(((1 + 6) + 6) - ((1 - 1) + 6)) =
|
((7 + 6) - ((1 - 1) + 6)) = ((7 + 6) - (0 + 6)) = (13 - (0 + 6)) = (13 - 6) = 7 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 =
|
((7 + 6) - ((1 - 1) + 6)) = (13 - ((1 - 1) + 6)) = (13 - (1 + 6)) = (13 - 7) = 6
| 0
| -11
| 11
|
(((8 + 8) - (4 + 7)) * (8 - (7 * 9))) =
|
((16 - (4 + 7)) * (8 - (7 * 9))) = ((16 - 11) * (8 - (7 * 9))) = ((16 - 11) * (8 - 63)) = (5 * (8 - 63)) = (5 * -56) = -56 = -56
(56 + -56) =
|
(16 - (4 + 7)) * (8 - 35) = ((16 - 13) * (8 - 35)) = (16 - -29) = 53 = 73 = 73
(73) = 73
(73) = 73
(73) = 73
1 = 73
1 = 73
1 = 73
1 = 73
| -15
| -62
| 47
|
(((1 * 2) - (2 * 3)) + (7 + 5)) =
|
(((2 * 2) - (2 * 3)) + (7 + 5)) = ((2 * 2) - 6) = (4 - 6) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2
|
(2 - (2 * 3)) = (2 - 6) = -4 = -4 = -4 = -4 = -4 = -4
Round (2 - 6) to (2 - 8) = -6 = -6 = -6
(2 - 6) = -4 = -6
(2 - 6) =
| -33
| -46
| 13
|
(((2 + 8) + (1 + 1)) - 2) =
|
((10 + (1 + 1)) - 2) = (1 + 1) = 2 = 3 = 3 = 3 = 3 = 3
(1 + 1) = 2 = 3 = 3
(1 + 1) = 2
(1 + 1) = 2
(1 + 1) = 2
2
(1 + 1)
|
(10 + (1 + 1)) = (10 + 2) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12) = 12 = 12 = 12 = 12 = 12) = 12 = 12 = 12 = 12) = 12 = 12) =
| -17
| -19
| 2
|
(((7 + 1) * 8) + (8 * (6 * 2))) =
|
((8 * 8) + (8 * (6 * 2))) = ((8 * 8) + (8 * 12)) = (64 + (8 * 12)) = (64 + 64) = 128 = 256 = 416 = 504 = 504 = 504 = 504 = 504 = 504 = 840 = 504 = 2100 = 2100 = 2100 = 2130
|
((8 * 8) + (8 * (6 * 2))) = (56 + (8 * (6 * 2))) = (56 + (8 * 8)) = (56 + 64) = 96 = 160 = 144 = 144 = 144 = 144
(56 + 64) = 256 = 144 = 144 = 144
8 = 144
| -4
| -19
| 15
|
(((1 + 6) + (1 - 9)) + ((8 - 3) + (9 * 8))) =
|
((7 + (1 - 9)) + ((8 - 3) + (9 * 8))) = ((7 + -8) + ((8 - 3) + (9 * 8))) = ((7 + -8) + (8 + (9 * 8))) = ((7 + -8) + (8 + 72)) = (1
|
((7 + (1 - 9)) + ((8 - 3) + (9 * 8))) = ((7 + -8) + ((8 - 3) + (9 * 8))) = ((7 + -8) + (7 + (9 * 8))) = ((7 + -8) + (7 + 72)) =
| -26
| -28
| 2
|
(((1 - 5) - 6) * (3 - 8)) =
|
((4 - 6) * (3 - 8)) = ((4 - 6) * -5) = (-2 * -5) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10) = -
|
((-4 + 6) * (3 - 8)) = ((-4 in * (3 - 8)) * (3 - 8)) = ((-4 in * -5) * (3 - 8)) = ((-4 in * -5) * -3) = (-10 * -3) = 30 = 30 = 30 = 30
| -6
| -45
| 39
|
(((2 * 9) - (3 + 4)) + 4) =
|
((18 - (3 + 4)) + 4) = ((18 - 7) + 4) = (11 + 4) = 15 = 19 = 19 = 19
(19 + 4) = 25 = 29
(19 - 29) = -12
(19 - 29) = -12
-7
(19 - 29) = -12
|
(18 - (3 + 4)) = (18 - 7) = 11 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = 4 = 4 = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0) = 0)
| 0
| -20
| 20
|
(((4 - 1) - 9) + 8) =
|
((3 - 9) + 7) = (-6 + 7) = 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 =
|
(3 - 9) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (6 + -6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
| -3
| -14
| 11
|
(((5 * 4) + (1 * 6)) * ((1 * 1) * 2)) =
|
((40 + (1 * 6)) * ((1 * 1) * 2)) = (4 * ((1 * 6) * 2)) = (4 * 6) = 24 = 24 = 24 = 24 = 24 = 24
2. (4 * 6) = 24 or 24 = 24 = 24
3. (4 * 6)
|
(20 * (1 * 6)) = (20 * 6) = 120 = 120 = 60 = 60 = 60 = 60
(60 = 60) = 60 = 60
(60 = 60) = 60
(60) = 60 = 60
0
(60 + 60) = 60
120
(60 + 60) = 60
| -47
| -77
| 30
|
(((1 - 6) + 2) - 9) =
|
((-5 + 2) - 9) = ((-3 + 9) - 9) = (6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3
|
(-5 + 9) = 4
(4 + 9) = 13
(4 + 13) = 17
17
(4 + 13) = 17
19
(4 + 13) = 17
21
(4 + 13) = 17
21
(4 + 13) = 17
23
(4 + 13) = 17
| -14
| -30
| 16
|
(((3 * 6) * 2) + 8) =
|
(18 * 2) = 362.
362
(18 - (4 + 4)) = (18 + 2) = 20.
24
(18 - 2) = 16.
22
(18 - 2) = 16.
14
(18 * 2) = 24.
24
|
(18 * 2) = 36
(18 * 2) = 36
6
((18 * 2) + 8) = 54
54
(18 + 8) = 26
34
What (2 - 9) = -7
-11
(2 - 9) = -7
-7
(2 - 9) = -7
| -28
| -29
| 1
|
(((7 - 2) + 5) - (8 + 1)) =
|
((5 + 5) - (8 + 1)) = (10 - (8 + 1)) = (10 - 9) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
|
(5 + 5) = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10) = 0 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10) =
| -8
| -32
| 24
|
(((4 - 6) + 3) + ((8 - 2) - 2)) =
|
((-2 + 3) + ((8 - 2) - 2)) = ((-2 + 3) + (6 - 2)) = (1 + (6 - 2)) = (1 + 4) = 5 = 5 = 5 = 5
(1 + 4) = 5 = 5 = 5
6
(1 + 4) = 5
|
((-2 + 3) + ((8 - 2) - 2)) = (2 + ((8 - 2) - 2)) = (2 + 6) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 (8
| 0
| -23
| 23
|
(((8 * 1) * 9) * (2 - 7)) =
|
((8 * 9) * (2 - 7)) = ((8 * 9) * -5) = (72 * -5) = -360 = -360 = -360 = -360 = -360 = -360 = -360 = -360 = -360 = -360 = -180 = -180 = -180 = -180 = -180 =
|
((8 * 9) * (2 - 7)) = (72 * (2 - 7)) = (72 * -5) = (72 * -5) = 360 = 180 = 180 = 180 = 180
“360�1�3 = 3602 = 180 = 180
1
0 = 360 = 180
0 = 180
0
| 0
| -17
| 17
|
(((8 + 6) * 9) - (1 + 4)) =
|
(14 * 9) - (1 + 4) = (14 * 9) - (1 + 4)) = (14 * 9) - (14 + -6) = 14 = 30 = 27 = 27
(14 + (14 - 6)) = (14 + 6) = 22 + 26 = 42
(14 + 6) =
|
(14 * 9) - (14 + 4) = (14 * 9) - (14 + 4) = (14 * 9) - (14 + 4)) = (14 * 9) - (14 + 4) = 28 = 62 = 74 = 74
(74 - 74) = 2
(2 + 2) = 6
2
| -26
| -42
| 16
|
(((1 * 7) + 9) * (8 + 2)) =
|
(7 + 9) + (8 + 2) = (17 + 2) = 23 = 25
(17 + 2) = 29
(17 + 2) = 29
39
(17 + 2) = 29
41
(17 + 2) = 29
41
(17 + 2) = 29
41
(17 +
|
(7 + 9) = 16.
19
(7 + 9) = 26
29
(7 + 9) = 26
37
(7 + 9) = 26
35
(7 + 9) = 26
37
(7 + 9) = 26
43
3
(7 + 9) = 26
33
| -29
| -41
| 12
|
(((9 - 3) - 8) * 5) =
|
((6 - 8) * 5) = (-2 * 5) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10) = (2 = -10) = -10 = -10 = -10 = -10
|
(6 - 8) = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2.5 = -2
| 0
| -15
| 15
|
(((4 + 2) - (4 - 3)) + 2) =
|
((6 - (4 - 3)) + 2) = ((6 - 1) + 2) = (5 + 2) = 7 = 10 = 10 = 10 = 20 = 20
((6 - 1) + 2) = (5 + 2) = 7 = 11 = 11
(5 + 2) = 17 = 20
|
(6 - (4 - 3)) = (6 - 1) = 5 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4) = (6 + 5) = 9 = 9 = 9 = 4 = 4 = 4 = 4 = 4 = 4 = 4 = 4
| 0
| -19
| 19
|
(((5 - 2) - 2) + ((1 * 1) + 1)) =
|
((3 - 2) + ((1 * 1) + 1)) = ((3 - 2) + (1 + 1)) = (1 + (1 + 1)) = (1 + 2) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3
((1 - 2) + (1 + 1)) = (1 +
|
(3 + ((1 * 1) + 1)) = (3 + 1) = 4 = 4 = 4
(3 + 1) = 5 = 4
(3 + 1) = 5
(3 + 1) = 5
(3 + 1) = 5
4
(3 + 1) = 5
6
(3 +
| 0
| -45
| 45
|
(((7 + 9) * (6 * 7)) + (1 * 4)) =
|
(16 * (6 * 7)) + (1 * 4)) = (16 * 42) = 168 = 168 = 168 = 168 = 168 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
|
(16 * (6 * 7)) = (16 * 42) = (168 = 42) = 234 = 234 = 234
(6 * 42) = 54 = 54
(6 * 42) = 54 = 54
0
2
3
2
6
6
6
6
| -37
| -46
| 9
|
(((5 + 7) - (1 + 9)) - 4) =
|
(12 - (1 + 9)) = (12 - 10) = 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
|
(12 - (1 + 9)) = (13 - 10) = 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 =
| -20
| -21
| 1
|
(((5 + 2) + (9 * 7)) - ((5 - 9) + 3)) =
|
((7 + (9 * 7)) - ((5 - 9) + 3)) = ((7 + 63) - ((5 - 9) + 3)) = ((7 + 63) - (-4 + 3)) = (70 - (-4 + 3)) = (70 - 1) = 69
(70 - 1) = 69
(69 + 69
|
((7 + (9 * 7)) - ((5 - 9) + 3)) = (((7 + 7) - ((5 - 9) + 3)) = ( ((7 + 7) - -2)) = (14 - (5 + -3)) = (14 - -2) = 16 = -16 = -16
63
Which is
| -9
| -23
| 14
|
(((8 * 5) * 8) * ((3 + 4) - 3)) =
|
((40 * 8) * ((3 + 4) - 3)) = ((40 * 8) * (7 - 3)) = (80 * (7 - 3)) = (80 * 4) = 320 = 640 = 880
(80 * 4) = 640 = 880
(320 = 640) = 160
(80 + 160
|
(40 * 8) * ((3 + 4) - 3)) = (40 * 8) * (8 - 3) = 32 = 35 = 35 = 35
(35) * (8 - 3) = 35 = 35 = 35
(35) * 5 = 25 = 35
(35) * 5 = 25
(
| -6
| -29
| 23
|
(((3 - 1) + (7 + 7)) + ((7 - 5) - (3 - 3))) =
|
((2 + (7 + 7)) + ((7 - 5) - (3 - 3))) = ((2 + 14) + ((7 - 5) - (3 - 3))) = ((2 + 14) + (2 - (3 - 3))) = (22 + (2 - (3 - 3))) = (22 + 0
|
((2 + (7 + 7)) + ((7 - 5) - (3 - 3))) = ((2 + 14) + ((7 - 5) - (3 - 3))) = (16 + ((7 - 5) - (3 - 3))) = (16 + (7 - (3 - 3))) = (16 + 0
| -27
| -34
| 7
|
(((7 * 4) + 2) * 5) =
|
(28 + 2) = 30 = 30 = 30 = 30
Flexible Choice 1 (70) = 30 = 30 = 30
Flexible Choice 2 (70) = 30 = 30 = 30
V (N) = 30 = 30 = 30
V (N) = 30 = 30 = 30
V (
|
(28 + 2) = 30 - 38.
-6
(28 - 2) + (26 + 5) = 33 - 33.
-1
(28 - 2) + (26 + 5) = 31 - 37.
-9
(28 + 1) + (26 + 5) = 31 - 36.
-5
| -14
| -55
| 41
|
(((3 - 5) - (5 + 9)) + (6 + 2)) =
|
((-2 - (5 + 9)) + (6 + 2)) = ((-2 - 14) + (6 + 2)) = ((-2 - 14) + 8) = (-18 + 8) = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14 = -14
|
((2 - (5 + 9)) + (6 + 2)) = ((2 - 14) + (6 + 2)) = ((2 - 14) + 8) = (-12 + 8) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4
| -5
| -6
| 1
|
(((5 + 9) + 9) * (8 + (4 - 4))) =
|
((14 + 9) * (8 + (4 - 4))) = ((14 + 9) * (8 + 0)) = (23 * (8 + 0)) = (23 * 8) = 96 = 388 = 876 = 876
(38 + 8) = 46 tipped = 58 = 58
(38 + 8) = 58 tipped
|
((14 + 9) * (8 + (4 - 4))) = (23 * (8 + (4 - 4))) = (23 * (8 + 0) * 0) = (23 * 8) = 176
(16*b) = (16*b) = 32*b + 16
8
(16 * 16) = 32
| -3
| -22
| 19
|
(((7 * 9) - 7) + 8) =
|
(63 - 7) = 56 = 57 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1 = 57.1
|
(63 - 8) = 55 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53 = 53) = (53 + 8) = 61 = 6 = 6 = 6 = 6 =
| -14
| -15
| 1
|
(((5 - 1) * 5) * (5 * 9)) =
|
((4 * 5) * (5 * 9)) = ((4 * 5) * 45) = (20 * 45) = 900 = 990 = 900 = 900 = 900 = 900 = 900 = 900=900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 = 900 =
|
((4 * 5) * (5 * 9)) = (20 * (5 * 9)) = (20 * 45) = 360 = 720 = 720 = 720 = 720 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 =
| 0
| -8
| 8
|
(((3 + 7) + (8 * 6)) + 3) =
|
((10 + (8 * 6)) + 3) = ((10 + 48) + 3) = (58 + 3) = 65 = 67 = 67
(65 - 67) = -6 = -6 = -6 = -6 = -6 = -6 = -6
= 18 = 6 + 3 = 21
(18 - 6)
|
(10 + (8 * 6)) = (10 + 48) = 58 = 58 = 58 = 58 = 58 = 58 = 58
2 = 58 + 79
3 = 85 = 89
3 = 89
3 = 89
3 = 89
3 = 89
3 = 89
3 = 89
| -1
| -20
| 19
|
(((3 + 2) + 8) * 3) =
|
((5 + 8) * 3) = (13 * 3) = 3972 = 6023 = 9891 = 6257 = 3187 = 967 = 967 = 967 = 967 = 967 = 967 = 967 = 967
(12 + 24) = 84 = 92 = 16
(12 + 44)
|
(5 + 8) = 13 = 17 = 17 = 17
(13 + 17) = 26 = 39
(13 + 39) = 52
(13 + 39) = 53
(39 - 53) = -10
-13
(4 + 8) = 12
16
(4 + 8) = 12
16
(4
| -2
| -14
| 12
|
(((7 * 9) * (4 + 6)) - ((1 * 9) * 4)) =
|
((63 * (4 + 6)) - ((1 * 9) * 4)) = (((63 * 10) - ((1 * 9) * 4))) = ((63 * 10) - (9 * 4)) = (630 - (9 * 4)) = (630 - 36) = 294 = 240 = 90 (90 = 90) = 60 =
|
(63 * (4 + 6)) - ((1 * 9) * 4) = (63 * 10) = 63 (63 + 44) = 91, 13 = 84, 13
(63 - 64) = (21 + 1) = 22
(21 + 1) = 22 and 23 = 45
43
(21 + 1) = 22
| -3
| -63
| 60
|
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