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 |
|---|---|---|---|---|---|
(((4 * 4) + (3 + 5)) - 4) = | (16 + (3 + 5)) = ((16 + 8) - 4) = ( 24 + 4) = 28 = 32 = 32
(32 - 32) = 0 = 0
0
(32 + 2) = 34
(32 - 30) = 2
4
(32 - 30) = 2
6
(3 - | (16 + (3 + 5)) = (16 + 8) =24 = 32 = 32 = 32 = 32
(16 + 8) = 36
(16 + 24) = 56
8
(16 - 36) = 64
-40
(16 - 36) = -32
-28
((16 - 36) + 4 | -9 | -20 | 11 |
(((2 * 4) * (1 + 7)) * (1 + 8)) = | ((8 * (1 + 7)) * (1 + 8)) = ( (8 * 9) * (1 + 8)) = (8 * 9) * 9) = (8 * 9) = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72
(72 * 72) = 168 = 288 = 144
48 | (8 * (1 + 7)) = (8 * 8) = 64 = 104 = 104 = 104
(8 * 8) = 128 = 128 = 128
8
(8 * 8) = 128 = 128
96
(8 * 8) = 128 = 128
16
(8 * 8) = 128 = 128
0 | -8 | -47 | 39 |
(((1 * 9) * (1 - 3)) * (8 + 9)) = | ((9 * (1 - 3)) * (8 + 9)) = ((9 * -2) * (8 + 9)) = ((9 * -2) * 17) = (-18 * 17) = -306 = -306 = -306 = -306 = -3
(306 - 306) = 6.3 = 6.3
( | (9 * (1 - 3)) = (9 * -2) = -18 = -18 = -18 = -18
(9 + -18) = -9 = -9
((9 + -18) = -9) = -9 = -9
(9 - 9)
(1) = -9
(1) | 0 | -58 | 58 |
(((9 - 6) * 8) + ((2 - 4) * 8)) = | ((3 * 8) + ((2 - 4) * 8)) = ((3 * 8) + (-2 * 8)) = (24 + (-2 * 8)) = (24 + -32) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = - | (3 * 8) + ((2 - 4) * 8)) = (3 * 8) + (4 * 8) = 96 = 96 = 96 = 96 = 96
(96 + (4 * 8)) = 96 = 96 = 96
(96 * 8) = 896
(96 * 8) = 88
(88) = | -3 | -31 | 28 |
(((3 + 6) + 5) - ((3 + 8) * 6)) = | (9 + 5) = 14 (14) = 21
(14) = 21
(14) = 21
(21) = 21
(21) = 36
(36) = 36
12
(36) = 36
36
(36) = 36
0
(36) = 36
0
(36) = 36 | (9 + 5) = 14 (14 + 14) = 28 (28 + 14) = 42 (42 + 14) = 62 (62 + 14) = 82 (62 + 14) = 82 (82=82) = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 = 82 | -62 | -72 | 10 |
(((1 * 7) * (5 - 5)) - 6) = | ((7 * (5 - 5)) - 6) = ((7 * 0) - 6) = (0 - 6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = - | (7 * (5 - 5)) = (7 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
0
(7 * 0) = 0 = 0
0
(7 * 0) = 0
0
0
0
0
0
0
0
0
0
0 | 0 | -22 | 22 |
(((6 * 3) * 8) - ((8 * 6) * 4)) = | (18 * 8) - (76 * 4) = 238 - 472.
-218
(18*(8*4) - (76 * 4)) = (18 * 8) - (76 * 4) = 238 - 472.
-74
(18 * 8) - (68 * 4) = 98 - 96. | (18 * 8) = 288 = 384 = 716 = 7729
(384 + 384) = 716 = 844 = 856 = 856
(816 + 344) = 936 = 936
(816 + 344) = 864
(816 + 304) = 984
(864 + 304) | -70 | -77 | 7 |
(((5 * 5) + 7) * 3) = | (25 + 7) = 32 = 41 = 41
( Aura (5 + 7) * 3) = (30 + 3) = 33 = 36
( 31 + 3) = 36
( 31 ) = 37
( 37 ) = 37
( 37) = 37
(37) = 37
(37) = 37
(37 | ((75 + 7) * 3) = ((82 + 7) * 3) = (89 * 3) =017 = 357
(67 + 3) = 756
(67) = 756
(67) = 756
(97) = 756
077
(97) = 756
(97) = 7 | -14 | -15 | 1 |
(((2 + 1) + (5 + 4)) + ((6 - 8) * 6)) = | ((3 + (5 + 4)) + ((6 - 8) * 6)) = ((3 + 9) + ((6 - 8) * 6)) = ((3 + 9) + (2 * 6)) = (12 + (2 * 6)) = (12 + 12) = 24 = 36 = 36
24
(2 + | ((3 + (5 + 4)) * ((6 - 8) * 6)) = ((3 + 9) * ((6 - 8) * 6)) = ((3 + 9) * (4 * 6)) = (12 * (4 * 6)) = (12 * 24) = 276 = 642 = 642 = 642
(6 | -5 | -15 | 10 |
(((5 * 6) * (9 * 2)) * 4) = | ((30 * (9 * 2)) * 4) = ((30 * 18) * 4) = (180 * 4) = 360 = 360 = 360 = 240 = 80 = 120 = 120 = 120 = 120
(180 * 4) = 360 = 360 = 360 = 360
(180 * 4) = 180 = 180
(120 | ((30 * (9 * 2)) * 4) = (30 * 18) = 180 = 180 = 180
(180 + 0) = 180
(180 + 0) = 180
0 = 180
0 = 180
0 = 180
0 = 180
0 = 180 | -4 | -16 | 12 |
(((3 + 8) * 8) - ((6 + 5) + 4)) = | ((11 * 8) - ((6 + 5) + 4)) = (88 - ((6 + 5) + 4)) = (88 - 7) = 81 = 77 = 77 = 77
(77 - 7) = 76 = 77
1
(77) = 76
1
2
3
3 | (11 * 8) - ((6 + 5) + 4)) = (11 * 8) - (22 + 4) = 26
(11 * 8) - (22 + 4) = 26
(11 * 8) - (22 + 4) = 26
(11 * 8) - (22 + 4) = 26 | -27 | -52 | 25 |
(((6 + 3) - 8) - ((1 * 3) - 3)) = | ((9 - 8) - ((1 * 3) - 3)) = (9 - (3 - 3)) = (9 - 0) = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9 = 9
(9 - 9) = 9 = 9 = 9 = 9
(9) | (9 - 8) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 | -22 | -55 | 33 |
(((2 * 6) * (7 * 5)) * 9) = | (12 * (7 * 5)) = (12 * 35) = 420 = 420 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 = 360 | (12 * (7 * 5)) = (12 * 35) = 840
(12 * 35) = 840
(12 = Franco) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84 | -21 | -25 | 4 |
(((2 + 4) * (4 * 7)) * (6 - (8 + 8))) = | ((6 * (4 * 7)) * (6 - (8 + 8))) = ( ((6 * 28) * (6 - (8 + 8))) = ((6 * 28) * (6 - 16)) = (168 * (6 - 16)) = (168 * -10) = -168 = -168 = -168 = 0 | ((6 * (4 * 7)) * (6 - (8 + 8))) = ((6 * 28) * (6 - (8 + 8))) = ((6 * 28) * (6 - 16)) = (112 * (6 - 16)) = (112 * -10) = 1108 = 1088 = 98
The second formula is | -4 | -10 | 6 |
(((7 + 7) * (1 + 3)) - ((8 + 8) + (3 - 1))) = | ((14 * (1 + 3)) - ((8 + 8) + (3 - 1))) = ((14 * 4) - ((8 + 8) + (3 - 1))) = ((14 * 4) - (16 + (3 - 1))) = ((14 * 4) - (16 + 2)) = (56 - (16 + 2 | Romans 7 (4 * (1 + 3)) = (7 * (3 + (3 - 1))) = (7 * 2) = 14 = 22 = 24 = 21 = 21 = 21
(14 * 2) = 38 = 38
(14 * 2) = 38
(14 * 2) = 38
86
(86 + 86 | -13 | -107 | 94 |
(((7 - 4) - (6 + 4)) - 8) = | ((3 - (6 + 4)) - 8) = ((3 - 10) - 8) = (-7 - 8) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = (15 - 15 | (3 - (6 + 4)) = (3 - 10) = -7 = -7 = -7 = -7 = -7 = -7
Why does 6 = -7?
-7
Because 3 = 9
9
(3 - -3) + 4
7
(3 - -4) + 7
11
( | 0 | -22 | 22 |
(((6 * 6) * 8) * ((3 * 8) - 5)) = | (36 * 8) = 243
(36 * 8) = 481
(36 * 8) = 481
(481) = 887
(481) = 887
(887) = 887
(874) = 913
(874) = 913
(84) = 913
( | (36 * 8) = 72 = 96 = 96 = 96 = 96 = 96 = 96
= 96 = 96 = 96
= 96 = 96
= 96 = 96
0
(36 + 1) = 37
43
(36 * 8) = 72
96
(36 * 8) = 72
192
= 192
= 192 | -58 | -67 | 9 |
(((7 * 5) + 9) + (4 - (1 - 5))) = | () + (4 - (1 - 5))) = ( () + -4) = (0 + -4) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = | (35 + 9) = 44 = 55 = 55 = 55 = 55
(35 + 9) = 64 = 64
(64 = 64) = 8
(64 = 8) = 8
8 = 8
0 = 8
0 = 8
0 = 8
0 = 8
0 = | -36 | -61 | 25 |
(((8 - 6) - 3) - 6) = | ((2 - 3) - 6) = (-1 - 6) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = - | (2 - 6) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4) = ((2 - 6) - 6) = (2 - 6) = -4 = -6 = -6 = - | 0 | -15 | 15 |
(((7 + 6) * 4) - (6 * 6)) = | ((17 * 4) - (6 * 6)) = ((17 * 4) - 36) = (68 - 36) = 32 = 24 = 24 = 24
( 68 - 36) = 32 = 32
( 68 - 32) = 32
( 32 - 32) = 16
4
1
2 | ((13 * 4) - (6 * 6)) = (52 - (6 * 6)) = (52 - 36) = 16 = 16 = 16 = 16 = 16
(52 - 36) = 16 = 16 = 16
(52 - 36) = 16
(52 - 36) = 16
8
8 | -6 | -9 | 3 |
(((3 + 6) - 4) + 4) = | ((9 - 4) + 4) = (5 + 4) = 9
(5 + 4) = 9
(9 + 9) = 18
(9 + 9) = 27
(9 + 9) = 33
(9) = 33
(9) = 33
(33) = 33
(33) = 33 | (9 - 4) = 5 = 4 = 4 = 4
(9 - 4) = 5 = 3 = 3
(9 - 3) = 6
(9 - 3) = 6
3
(9 - 3) = 6
3
(9 - 3) = 6
3
(9 - 3)
6
( | -7 | -13 | 6 |
(((6 - 4) + 6) + 2) = | ((2 + 6) + 2) = (8 + 2) = 10 = 12 = 12 = 12 = 12 = 12
(8 + 2) = 10 = 14 = 18 = 18
(8 + 10) = 22 = 28
(22 = 22) = 2 | (2 + 2) = 4 = 6 = 6 = 6
(2 + 2) = 6
=6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0 | 0 | -15 | 15 |
(((7 * 2) - (1 + 6)) + ((2 * 6) - 4)) = | (14 - (1 + 6)) = (14 - 7) = 7, 5 = 2 * 2
(14 - 7) = 7, 5 = 2 * 2
extension + 3 = 7, 5 = 2 * 2
(7 - 5) = 7, 5 = 2 * 2
(7 - 5) = 7, 5 = | (14 - (1 + 6)) = (14 - 7) = 7 = 5 = 5 = 5 = 5 = 5 HISTORY 2022 (7 - 5) = 5 = 5 = 5 = 5 = 5
(7 + 7) = 5 = 5 = 5 = 5
(7 + 7) = 5
1 = 5 | -77 | -78 | 1 |
(((3 * 9) - 3) * (3 + (2 * 8))) = | ((27 - 3) * (3 + (2 * 8))) = (27 * (3 * (3 * 8))) = (27 * 24) = 72 = 216 = 432 = 288 = 144 = 216 = 168 = 168
(72 + 8) = 88
(72) = 88
(72) = 88
(60) = 88 | (27 - 3) = 24 = 21 = 20 = 18 = 18
(27 - 3) = 24 = 21 = 18
(27 - 3) = 24 = 21
(27 - 3) = 24
(27 - 3) = 24
(24) = 24
30
26
4 | -26 | -62 | 36 |
(((7 - 6) * 4) + ((4 - 6) - (3 + 8))) = | ((1 * 4) + ((4 - 6) - (3 + 8))) = ((1 * 4) + (-6 - and (3 + 8))) = (4 + (-6 - (3 + 8))) = (4 + (-6 - and (3 + 8))) = (4 + (-6 - and 11)) = (4 + | (1 * 4) + ((4 - 6) - (3 + 8))) = (1 * 4) + ((4 - 6) - (3 + 8))) = (1 + ((4 - 6) - (3 + 8))) = (1 + (-2 - (3 + 8)) = (1 * (-2 - 9)) = | -37 | -42 | 5 |
(((4 * 4) * 5) + 8) = | (16 * 5) = 80 = 80
(80 = 80) = 80 = 80
(80 = 80) = 80
(80 = 80) = 80
(80 = 80) = 80
(80 = 80) = 80
(80 = 80) = 80
80
(80 = 80) = 80
0
( | (16 * 5) = 65 = 65
(16 * 5) = 65
(16 * 5) = 65
65
(16 * 5) = 65
160
(16 * 5)
80
(16 * 5)
80
(16 * 5)
80
82
(16 * 5)
80
65 | -15 | -24 | 9 |
(((1 + 2) - (5 + 3)) + (5 + (5 * 2))) = | (3 - (5 + 3)) + (5 + (5 * 2))) = (3 - 10) = -7 = -7 = -7 = -7 = -7 = -7 = -7
(3 - 10) = -7 = -7 = -7 = -7
(3 - 10) = -7 = | (3 - (5 + (5 * 2))) = (3 - (5 + 10)) = (3 - 15) = -12 = -12 = -12
(3 - 15) = -12 = -12
-12 = -12
ettel = -12
-12 = -12
-12 = -12
-12 | -63 | -68 | 5 |
(((4 + 2) - 3) + (3 - 2)) = | ((6 - 3) + (3 - 2)) = ((6 - 3) + 1) = (3 + 1) = 4 = 4 = 4 = 4 = 4
(4) = 4 + 4 = 8 = 8
(8) = 8 + 8 = 16
(8) = 8 + 8 = 16
(8) = | (6 - 3) = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 | 0 | -31 | 31 |
(((2 * 2) * 3) + ((7 + 8) + 7)) = | (4 * 3) = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12 = 12
(4 * 3) = 12 = 12 = 12 = 12 = 12 = 12
(4 + 12) = 16 = 16
(4 + 14) = 18
(4 + 14) = 18
22
( | (4 * 3) = 12 = 24 = 24 = 24
(4 * 3) = 48 = 48
24
(4 * 3) = 48 | -59 | -67 | 8 |
(((1 + 3) - 2) * 9) = | ((4 - 2) * 9) = (2 * 9) = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18) = ((2 + 9) * 9) = (2 * 9) = 18 | (4 - 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 | -14 | 14 |
(((2 * 2) - (4 * 1)) - ((9 * 1) + 2)) = | (4 - (4 * 1)) - ((9 * 1) + 2)) = (4 - 4) = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = matches = | (4 - (4 * 1)) = (4 - 4) = 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 = | -65 | -80 | 15 |
(((3 + 7) + (9 - 7)) - 6) = | ((10 + (9 - 7)) - 6) = ((10 + 4) - 6) = (14 - 6) = 8 = 4 = 4 = 4
(14 - 6) = 4 = 2 + 2
(14 - 6) = 4
(14 - 6) = 4
(6 + 4) = 10
(6 | (10 + (9 - 7)) = (10 + 1) = 11 = 11
(11 - 11) = 0
(1) = 0
(1) = 0
0
(1) = 0
0
(1) = 0
0
(1) = 0
0
(1) = 0
0
( | -3 | -31 | 28 |
(((6 + 3) + 6) - ((5 + 7) + 2)) = | (9 + (6 + 6)) = (9 + 12) = 21 = 27 = 27 = 27
(18 - 9) = 21 = 15
(9 - 15) = 6 = 9
(18 - 9) = 3
(9 + 9) = 18
9
(5 - 9) = -4
Take out 3 | (11 - 6) = 5 = 3 = 3 = 3 = 3
(11 + 6) = 13 = 19
(11 + 19) = 32
39
(11 + 19) = 40
50
(11 + 19) = 26
45
(7 + 18) = 23
31
(7 + 18) = 29 | -51 | -65 | 14 |
(((5 - 4) - (6 + 8)) * (3 * (7 - 7))) = | (1 - (6 + 8)) = (1 - 14) = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13 = -13) = (12 - 13) = -1 = -1 = -1 = -13 = - | (1 - (6 + 8)) = (1 - 14) = -13 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = -15 = -15 = -15 = -15 = -15 = -15) = -15 = -15 = -15 = -15 = -15 | -74 | -76 | 2 |
(((7 * 4) - 5) - 1) = | (28 - 5) = 21 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = | (28 - 5) = 23 = 23
(30 - 23) = 9 = 4 = 5
(30 - 23) = 9 = 4 = 4
(30 - 23) = 9 = 4 = 4
(30 - 23) = 7 = 4
(30 - 23) = 7
(2 - 7 | -14 | -21 | 7 |
(((1 * 5) - 2) * 8) = | ((5 - 2) * 8) = (3 * 8) = 24 = 72 = 72 = 72
(3 + 8) = 10 = 11 = 7 = 7
(3 + 10) = 13 = 13
2
(3 + 10) = 13
17
(3 + 13) = 13
22
(3 + 13 | (5 - 2) = 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 - 2) * 8) = (1 * 8) = 8 | 0 | -14 | 14 |
(((1 - 7) * (9 - 2)) * 1) = | ((-6 * (9 - 2)) * 1) = ((-6 * 7) * 1) = (-42 * 1) = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42 = -42) = -42 = -42 = -42 = - | (-6 * (9 - 2)) = (-6 * 7) = -42 = -42 = -42 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -2 | 0 | -18 | 18 |
(((6 * 2) + (9 + 2)) - (8 * 9)) = | (12 + (9 + 2)) = (12 + 11) = 23 = 23 = 23 = 23
(23 - 23) = 1 = 1 = 1 = 1 = 1 = 1
(1 - 1) = 1 = 1 = 1 = 1
(1 - 1) = 1 = 1
0
(1 - 1) = 1 | (12 + (9 + 2)) = (12 + 11) = 23 = 53 = 53
(12 - 11) = (1 + 1) = 2 = 2 = 2
(12 + 1) = 13
(12 ~ 13) = 21
(21 + 13) = 28
(28 + 13) = | -59 | -64 | 5 |
(((2 + 1) * 5) * ((7 - 9) + (9 + 3))) = | ((3 * 5) * ((7 - 9) + (9 + 3))) = ((3 * 5) * (2 + (9 + 3))) = (7 * (2 + (9 + 3))) = (7 * (2 + 12)) = (7 * 19) = 247 = 245 = 5
Let (7* | ((2 * 5) * ((7 - 9) + (9 + 3))) = ((2 * 5) * (-2 + (9 + 3))) = (5 * (-2 + 12)) = (5 * 11) = 55 = 55 = 55
1
(1 * 11) = 55 = 55
9
(1 | -19 | -27 | 8 |
(((2 + 7) * 1) * (9 * 9)) = | ((9 * 1) * (9 * 9)) = (9 * 9) = 81 = 81 = 81 = 81
(9 * 9) = 81 = 81
(81) = 81
(81) = 81
(81) = 81
(81) = 81
(81) = 81
(81) = 81
( | (9 * 1) = 9
(9 * 1) = 9
7
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9 | -17 | -41 | 24 |
(((1 * 9) - (3 + 1)) - ((7 + 1) - (3 - 9))) = | ((9 - (3 + 1)) - ((7 + 1) - (3 - 9))) = ((9 - 4) - ((7 + 1) - (3 - 9))) = ((9 - 4) - (8 - (3 - 9))) = (4 - (8 - (3 - 9))) = (4 - ( | ((9 - (3 + 1)) - (7 - (3 - 9))) = (9 - 4) = 5 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = | -28 | -101 | 73 |
(((2 * 7) + 5) - (3 + (4 - 8))) = | ((14 + 5) - (3 + (4 - 8))) = ((14 + 5) - (3 + -4)) = (19 - (3 + -4)) = (19 - -1) = 20 = 20 = 20 = 20 = 20
So far we have four products, each of which have a shape to them. | (14 + (3 + (4 - 8))) = (14 + (3 + -4)) = (14 + -1) = 13 = 13 = 13 = 13 = 13 = 13 = 13
0 = 13 = 13
1 = 13
1 = 13
1 = 130
1 = 13
1 = 13
1 = 14 | 0 | -30 | 30 |
(((4 - 4) - (9 * 9)) + 4) = | ((0 - (9 * 9)) + 4) = ((0 - 81) + 4) = (-81 + 4) = -83 = -83 = -83 = -83 = -83
(83 - 4) = 81 = 81
(83 + 81) = 176
(83 + 81) = 347
(93 - 17) = | (0 - (9 * 9)) = (0 - 81) = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 = -81 | -4 | -22 | 18 |
(((3 + 9) * (9 - 7)) * 7) = | (12 * (9 - 7)) = (12 * 2) = 24 = 48 = 487
(12 * 2) = 24 = 48
(24 = 48) = 72
(72) = 72
(72) = 72
(72) = 72
0
(72) = 72
72
(72) = 72 | (12 * (9 - 7)) =
(12 * 1) = 12 = 12 = 12 = 12 = 12
(12 = 12) = 36 = 36
6
(6 + 1) = 7
7
(6 + 1) = 7 D = 7
7
(6*c) = 6
6
(6 + | -20 | -22 | 2 |
(((9 - 4) * 7) - 4) = | ((5 * 7) - 4) = (35 - 4) = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 24) = 27 | (-5 * 7) = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35 = -35) = ((5 * 7) - 4) = (35 = -35 = -35) = (35 = -35 = -35) = (35 = - | -2 | -14 | 12 |
(((8 + 2) - (6 + 1)) - 7) = | ((10 - (6 + 1)) - 7) = {(10 - 7) - 7) = (3 - 7) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = the 4 = -4 = - | (10 - (6 + 1)) = (10 - 6) = 4 = 2 = 2 = 2 = 2 = 2 = 2 = 2
(10 - 6) = 4 = 4 = 4
(10 - 6) = 4 = 4 = 4
2
(10 - 6) = 4
2
(10 - 6) = 4 | -1 | -24 | 23 |
(((4 + 2) - 4) + (1 + (2 * 8))) = | ((6 - 4) + (1 + (2 * 8))) = (2 + (1 + (2 * 8))) = (2 + (1 + 32) + (2 * 8)) = (2 + 34) = 36 = 38 = 38 = 38
((2 - 4) + (1 + (2 * 8))) = ( | ((6 - 4) + (1 + (2 * 8))) = (2 + (1 + (2 * 8))) = ((2 + 1) + (1 + 16)) = (2 + (1 + 16)) = (2 + 17) = 18 = 20 = 20 = 20 = 20 = 20 = 20
(20 - 20) | -25 | -29 | 4 |
(((4 + 2) - 9) + ((7 - 2) + 4)) = | ((6 - 9) + ((7 - 2) + 4)) = (1 + ((7 - 2) + 4)) = (1 + (5 + 4)) = (1 + 9) = 10 = 10 = 10 = 10
(1 + 9) = 9 = 9
(1 + 9) = 9
(9) | (6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (6 - 9) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = - | -15 | -56 | 41 |
(((9 * 8) - 2) + (5 + (1 - 3))) = | (72 + (5 + (1 - 3))) = (72 + (5 + -2)) = (72 + 1) = 73 = 73 = 73 = 73
(73 - 1) = 73 = 73
(73) = 73
(73) = 73
(73) = 73
(73) = 73
(73) | (72 - 2) = 70 = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) = 72
(72) | -27 | -60 | 33 |
(((2 - 7) * 6) + ((6 - 8) - (1 - 9))) = | ((-5 * 6) + ((6 - 8) - (1 - 9))) = ((-5 * 6) + (-2 - (1 - 9))) = ((-5 * 6) + (-2 - -8)) = (30 + (-2 - -8)) = (30 + 6) = 36
Voices of the Rivers ( | (5 * 6) = 30 = 30
(30 + (1 - (1 - 9))) = (30 + -8) = 22
(30 + -8) = 22
(22 + -22) = 12
2
(2 + 2) = 4
6
(2 - 2) = 0
0
(2 + | -13 | -96 | 83 |
(((2 * 3) + 6) - 8) = | (6 + 6) = (12 + 8) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 accepted (16) = 20 admitted (16) = 20 accepted (16) = 20 accepted | (6 - 6) = 0 = 0 = 0 = 0 = 0 = 0
That's right!
There seems to be no end to the optimization.
Where can new solutions be found?
In this post I will share what I know and show you where I am able to optimize.
I want to share with you my biggest achievement so far. | -15 | -16 | 1 |
(((5 * 2) * (7 - 9)) * 6) = | ((10 * (7 - 9)) * 6) = ((10 * -2) * 6) = (-20 * 6) = -120 = -120 = -120 = -120 = -60 = -60 = -60 = -60 = -60 = -60) = -60 = -60 = -60 = -60 = -60 | (10 * (7 - 9)) = (10 * -2) = 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 | -26 | 26 |
(((4 * 3) - (5 + 6)) * 8) = | (12 - (5 + 6)) * 8) = (12 - 11) = 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 | (12 - (5 + 6)) = (12 - 11) = 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 | -14 | -19 | 5 |
(((6 * 3) * 3) * (9 - (3 * 2))) = | (18 * 3) = 54 = 54.
54
What (-1 - 1) = -2.
-3
(2 - 2) = 3
1
(2 - 2) = 2
2
(6 - 2)
4
(1 - 1) = 0
1
(2 - 1) = 1 | (18 * 3) = 54 = 162 = 18
Find (6 * 3) = 18 + 6 = 36
6
(6 * 18) = -54
-54
(6 * 18) = (-54), -54
-18
(6 * 18) = 18
18
(6 * 18) = 18
18 | -60 | -61 | 1 |
(((9 * 4) * (6 - 9)) * (5 + 2)) = | ((36 * (6 - 9)) * (5 + 2)) = ((36 * -3) * (5 + 2)) = (36 * (5 + 2)) = (36 * 7) = 72 = 72 = 72 = 72
(72 + 72) = 144 = 144
(72 + 144) = 144
(72 + 144 | (36 * (6 - 9)) = (36 * -3) = -12 = -12 = -12 = -12 = -12 = -12 = -12
= -12 = -12 = -12 = -12
= -12 = -12 = -12
= -8 * (8 + 8) = -96 = | -17 | -52 | 35 |
(((8 + 9) + (6 * 6)) - (9 + (3 - 5))) = | ((17 + (6 * 6)) - (9 + (3 - 5))) = ((17 + 66) - (9 + (3 - 5))) = ((17 + 66) - (9 + -2)) = (89 + (9 + -2)) = (89 - 7) = 88 = 88
(88 - 7) = | (17 + (6 * 6)) = (17 + 36) = 59 = 79 = 79
(79 - 79) = 0 = 0 = 0
= 0 = 0
= 0 = 0
= 0
= 0
= 0
= 0
= 0
= 0
= 0
= 0
= 0
= 0 | -9 | -78 | 69 |
(((1 - 1) + (6 * 7)) * ((2 * 3) * 3)) = | ((0 + (6 * 7)) * ((2 * 3) * 3)) = (0 + 42) = 42 = 42 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 | (0 + (6 * 7)) * ((2 * 3) * 3) = (0 + 42) = 42 = 42
(0 + 42) = 42
(42 + 42) = 78
84
(42 + 84) = 198
306
(42 + 84) = 198
312
(42 + 42) = | -60 | -63 | 3 |
(((5 * 1) * (5 - 8)) + ((8 * 6) * (7 - 9))) = | (5 * (5 - 8)) + ((8 * 6) * (7 - 9))) = (5 * -3) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = - | (5 * (5 - 8)) = (5 * -3) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15) = 0 = 0 = 0 = 0 = 0
=0 = 0 = | -98 | -121 | 23 |
(((2 + 8) * (2 - 4)) * ((6 + 2) * (4 * 3))) = | ((10 * (2 - 4)) * ((6 + 2) * (4 * 3))) = ((10 * -2) * ((6 + 2) * (4 * 3))) = ((10 * -2) * (8 * (4 * 3))) = (-2 * (6 * (4 * 3))) = (( | (10 * (2 - 4)) = (10 * -2) = -20 = -20 = -20 = -20 = -20 = -20 | -43 | -117 | 74 |
(((1 * 2) - 8) - ((8 + 5) + (2 - 8))) = | ((2 - 8) - ((8 + 5) + (2 - 8))) = ((2 - 8) - (13 + (2 - 8))) = ((2 - 8) - (13 + -6)) = (-6 - (13 + -6)) = ( (-6 - 7) - 5) = -13 = -13 | (2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6 = -6 = - | -18 | -92 | 74 |
(((4 * 3) + (9 * 7)) * 5) = | ((12 + (9 * 7)) * 5) = ((12 + 63) * 5) = (81 * 5) = 81 = 81 | (12 + (9 * 7)) = (12 + 63) = 75 = 93 = 93 = 93
(12 + 63) = 75 = 93
9
(12 - 69) = -57 = -43
-31
(12 * 6) = 18
18
(12 + 18) = 24
42
(12 * 6 | -5 | -21 | 16 |
(((4 + 7) + (9 - 2)) * 2) = | ((12 + (9 - 2)) * 2) = ((12 + 7) * 2) = (19 * 2) = 38 = 76 = 76 = 76
(76) = 761
(76) = 76
(76) = 76
(76) = 76
(76) = 76
(76) = 76
(76 | (11 + (9 - 2)) = (11 + 7) = 18 = 29 = 42
(18 + 18) = 45
(42 + 42) = 90
(54 + -4)
(54 - 46)
What (54 - 94) = -50
-4
(54 - 46) = 14
2
( | -4 | -20 | 16 |
(((1 * 6) + 7) + (2 * (4 * 9))) = | ((6 + 7) + (2 * (4 * 9))) = ((6 + 7) + (2 * 24)) = (13 + (2 * 24)) = (13 + 48) = 61 = 59 = 59
( glamour ) = (20 + 49) = 69
( glamour ) = (20 + 49) = 69 | ((6 + 7) + (2 * (4 * 9))) = (9 + (2 * 48) + (2 * 36)) = (9 + 96) = 99 = 99 = 9 = 9 = 9 = 9 = 9
((9 + 1) + (2 * 36)) = (9 + 96) = 99 = 99 = 9 = | -8 | -28 | 20 |
(((3 * 7) + (4 * 6)) - ((8 - 5) + 5)) = | (21 + (4 * 6)) - ((8 - 5) + 5)) = (21 + 24) - (1 + 5) = (21 + 5) = 26 - 26 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
“(1 + 5) - (1 + 5) = (21 | (21 + (4 * 6)) = (21 + 24) = 45 = 54 = 54 | -44 | -77 | 33 |
(((9 - 4) - 9) + ((7 + 4) + 6)) = | ((5 - 9) + ((7 + 4) + 6)) = ((5 - 9) + (9 + 6)) = (-4 + (9 + 6)) = (-4 + 15) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 | ((5 - 9) + ((7 + 4) + 6)) = ( -9 + ((7 + 4) + 6)) = ( -9 + (7 + 6)) = ( -9 + 13) = 4 = 1 = 4 = 4 = 4
((5 - 9) + (7 + 6)) = ( -9 + 13) = | -6 | -19 | 13 |
(((2 * 3) * (9 - 5)) * ((2 - 6) + 4)) = | (6 * ((9 - 5) + 4)) = (6 * (9 - 5)) = (6 * 4) = 24 = 48 = 36 = 36
(24 + 36) = 48 = 72
(24 + 36) = 48
24
(24 + 36) = 48
72
(24 * 36) = 48 | (6 * (9 - 5)) = (6 * 4) = 24 = 24 = 24 = 24
(24) = 24 = 24
(24) = 24
(24) = 24
(24) = 24
(24) = 24
(4) = 24
(24) = 24 | -63 | -80 | 17 |
(((2 * 2) - (6 + 4)) + ((4 * 2) + (8 + 5))) = | (4 - (6 + 4)) = (4 - 10) = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = -8 = - | (4 - (6 + 4)) = (6 - 10) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = - | -114 | -118 | 4 |
(((6 - 6) - 9) - ((7 * 9) + 1)) = | (0 - 9) - ((7 * 9) + 1)) = (0 - 9) - (7 + 1) = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 = 8 | (0 - 9) = -9 = -9 = -9
(9 - 9) = (0 - 9) = -9 = -9
= 0
= 0 = -9 = -9
= 0
= 0 = 9
= 9
= 9
= 9
= 9
= 9
= 9
= 9 | -35 | -62 | 27 |
(((8 * 1) - (9 - 7)) - ((6 + 6) * (4 * 3))) = | ((8 - (9 - 7)) - ((6 + 6) * (4 * 3))) = ( (8 - 2) - ((6 + 6) * (4 * 3))) = (8 - (8 - ((6 + 6) * (4 * 3))) = (8 - (8 - (8 * 3))) = (8 - ( | ((8 * 1) - ((6 + 6) * (4 * 3))) = ((8 * 1) - (12 * (4 * 3))) = ((8 * 1) - (12 * 12)) = (8 - (12 * 12)) = (8 - 256) = -238 = -238 = -2
(238 - 240) | -45 | -60 | 15 |
(((9 + 3) * 7) * 7) = | (12 * 7) = 84 = 84 = 84
(84 = 84) = 96
(96 = 84) = 96
48
(84 = 84) = 96
96
(6 - 8) = -2
-2
(4 - 2) = 2
2
(2 - 2) = 2
0
(2 | (12 * 7) = 24 = 72 = 72 = 72 = 72.
24
(12 + 2) = 14
18
(12 - 14) = -2
-2
(6 + 5) = 11
21
3
(6 + 6) = 12
18
(6 + 6) = 18
24
( | -14 | -16 | 2 |
(((3 + 3) + 7) + ((5 - 7) * 2)) = | ((6 + 7) + ((5 - 7) * 2)) = (13 + ((5 - 7) * 2)) = (13 + (5 - 2)) = (13 + 3) = 16 = 19 = 19 = 19
(16 + 16) = 32 = 48
(16 + 48) = 56
(16 + 46) | (6 + 7) = (13 + (5 - 7)) = (13 + -2) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 22
(11 + -2) = (9 + 11) = 22 = 22
(6 + 11) = 23
(6 + 11) = 22
( | -16 | -45 | 29 |
(((7 * 5) * (4 * 4)) - 8) = | ((35 * (4 * 4)) - 8) = (5 * (64 - 4)) = (5 * 56) = 56 = 56 = 56 = 56 = 56
(56 - 56) = 8 = 8 = 8
2
(21 + 9) = 303094
303094
(282 + 6) = 318 | (35 * (4 * 4)) = (35 * 16) = 70 = 70 = 70 = 70 = 70 = 70
(70 - 6) = 68 = 68 = 68
(68 - 68) = 0
(0 + 0) = 0
(0 + 0) = 0
0
(0 + 0) = 0 | -13 | -23 | 10 |
(((9 * 7) - 4) * 9) = | (63 - 4) = 59 = 55 = 55 = 5 = 5
(55 - 55) = 0
(0) = 0
(0) = 0
4
(0) = 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0 | (63 - 4) = 61 = 61 = 61 = 61 = 61
(63 - 11) = 52 = 51
(63 + 51) = 84
(63) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84
(84) = 84
(84) | -14 | -16 | 2 |
(((4 * 4) - 1) - ((2 * 6) - (5 - 6))) = | ((16 - 1) - ((2 * 6) - (5 - 6))) = ((16 - 1) - (12 - (5 - 6))) = (16 - (12 - (5 - 6))) = (16 - (12 - -1)) = (16 - 17) = -1 = -1 = -1 = | (16 - 1) - (16 - (16 - 4))) = (16 - (16 - (16 - 4))) = (16 - 12) - (16 - 12) = 8 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 | -12 | -51 | 39 |
(((7 - 4) * (6 * 1)) * 8) = | ((3 * (6 * 1)) * 8) = ((3 * 6) * 8) = (18 * 8) = 144 = 192 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 288 = 48 = 72 = 72 = 72 = 72 = 72 = 72 = 72 | (3 * (6 * 1)) = (3 * 6) = 18 = 18.
18
(3 * 18) = 9 + 9
27
(3 * 9) = 9
27
(3 * 9) = 9
27
(3 * 9) = 9
9
(9 * 9) = 9
27 | 0 | -29 | 29 |
(((7 * 3) * 3) - (7 * 9)) = | (21 * 3) - (7 * 9) = (21 * 3) - 21 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = (21 * 3) - 21 = 6 = 6 = 6 = 6) = 21 = 6 + 6) = 21 = 6 = 6 = 6) = 21 | (21 * 3) = 63 = 93
(3 * 3) = 9
(3 * 3) = 9
27
(3 * 9) = 9
27
(3 * 9) = 9
27
(3 * 9) = 9
27
(3 * 9) = 9
27
(9 + 6) = | -15 | -38 | 23 |
(((7 * 7) - (8 - 7)) + 2) = | (49 - (8 - 7)) = ((49 - 1) + 2) = (50 + 2) = 52 = 54 = 52 = 54 = 54 = 54 = 54 = 54 = 54 = 54 = 54
(52 - 2) = 52 = 52 = 52
(52 - 2) = 52
(52 - 7) = 52 | (49 - (8 - 7)) = (49 - 1) = 49 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = 48 = (48 = 48) = 48 = 48 = 48 = 72 = 72 = 72
(48 + 48) = 108 = 108 = 144 = 216 = 288
(48 - 108) | -9 | -21 | 12 |
(((8 + 3) + (2 * 5)) + 1) = | ((11 + (2 * 5)) + 1) = ((11 + 10) + 1) = (21 + 1) = 22 = 23 = 22 = 22 = 22 = 22 = 22 = 22
((21 + 1) + 1) = 22 = 22 = 22
(22 + 1) = 22
(22 + 1) = | (11 + (2 * 5)) = (11 + 10) = 21 = 41 = 51 = 51 = 51 = 51 = 51
(21 - 41) = -20 = -19
-21
(21 - 19) = 2
1
(21 - 19) = 2
1
(9 - 21) = -6 | 0 | -20 | 20 |
(((2 + 5) - (4 + 5)) + ((9 + 6) - (4 * 3))) = | ((7 - (4 + 5)) + ((9 + 6) - (4 * 3))) = ((7 - 9) + ((9 + 6) - (4 * 3))) = ((7 - 9) + (15 - (4 * 3))) = ((7 - 9) + (15 - 12)) = (2 + | ((6 - (4 + 5)) + ((9 + 6) - (4 * 3))) = ((6 - 9) + ((9 - 6) - (4 * 3))) = ((6 - 9) + (1 - (4 * 3))) = ((6 - 9) + (1 - 8)) = (-3 - ((1 - 8 | -21 | -26 | 5 |
(((5 + 3) - (2 * 9)) + 4) = | ((8 - (2 * 9)) + 4) = ((8 - 18) + 4) = (10 + 4) = 14 = 18 = 18
(18) = 18
(18) = 18
2
(18) = 18
18
(18) = 18
6
7
1
7
1
7 | ((8 - (2 * 9)) + 4) = (8 - 18) = -10 = -10 = -10 = -10 = -10 = -10 = -10 = -10
(8 - 9) = -1 = -1 = -1
(8 + 1) = -1 = -1 = -1
› | -5 | -16 | 11 |
(((1 * 5) - 4) + ((9 + 5) + (5 * 2))) = | ((5 - 4) + ((9 + 5) + (5 * 2))) = (1 + ((9 + 5) + (5 * 2))) = (1 + (9 + (5 * 2))) = (1 + (9 + 10)) = (1 + 19) = 20 = 20 = 20 = 20
2 + 4 | (5 - 4) = (1 - 4) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3) = (1 - 3) = -3 = -3 = - | -24 | -89 | 65 |
(((7 - 3) - 1) + (8 - 6)) = | (4 - 1) = 3 (3 - 3) = 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) = 3 = 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 = | -31 | -32 | 1 |
(((4 - 4) + (4 - 8)) * ((7 * 6) * (3 - 2))) = | ((0 + (4 - 8)) * ((7 * 6) * (3 - 2))) = ((0 + -4) * ((7 * 6) * (3 - 2))) = ((0 + -4) * (42 * (3 - 2))) = (0 * (42 * 1)) = (0 * 42) = 0 = | ( 0 * (4 - 8)) = (0 * -4) = 0 = 0 = 0 = 0 | -32 | -128 | 96 |
(((2 * 2) + (6 + 7)) * 6) = | (4 + (6 + 7)) * 6 = (4 + 13) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17) = 17 = 17 = 17 = | (4 + (6 + 7)) = (4 + 13) = 17 = 26 = 26 = 26 = 26 = 26
(4 + 13) = 21 = 31
(4 + 13) = 21 = 31
(4 + 13) = 22
(4 + 13) = 23
(4 + 13) | -16 | -21 | 5 |
(((6 * 4) + 3) - 4) = | ((24 + 3) - 4) = (27 - 4) = 23 place = 23 place = 23 place = 23 place = 23 place = 23
(23 - 4) = 21 = 23 place = 23
(23 - 23) = 2
(2 - 2) = 2
(2 + 2) = 2
(2 + 2) | (24 + 3) = 27 = 27
(24 + 3) = 27 = 31
(24 + 3) = 30
(26) = 26
(26) = 26
(26) = 26
(26) = 26
(26) = 26
(26) = 26 | 0 | -20 | 20 |
(((9 - 8) * (1 - 7)) - ((8 - 2) + 8)) = | ((1 * (1 - 7)) - ((8 - 2) + 8)) = ((1 * -6) - ((8 - 2) + 8)) = ((1 * -6) - (6 + 8)) = (-6 - (6 + 8)) = (-6 - 14) = -20 = -20 = -20 = -20 | (1 * (1 - 7)) = (1 * -6) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 | 0 | -77 | 77 |
(((1 - 1) - 3) - (6 * (3 - 7))) = | ((0 - 3) - (6 * (3 - 7))) = ((0 - 3) - (6 * -4)) = (-3 - (6 * -4)) = (-3 - -24) = 21 = 21 = 21 = 6 = 6 = 6 = 6 = 6 = 6 = 6
(21 - 21) = 0 = | ((0 - 3) - (6 * (3 - 7))) = ((0 - 3) - (6 * -4)) = (-3 - (6 * -4)) = (-3 - 0) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = - | 0 | -5 | 5 |
(((4 + 8) + (4 * 6)) * 1) = | ((12 + (4 * 6)) * 1) = ((4 + 6) * 1) = (10 * 1) = 10 = 10
(10 + 1) = 10 = 10
1
(10 + 1) = 10
1
(10 + 1) = 10
1
(10) = 10
10
1 | (12 + (4 * 6)) = (12 + 24) = 42 = 54 = 54 = 54
(42 + 42) = 72 = 72
(72 + 72) = 144
(72 + 144) = 384
(72 + 144) = 504
(144 + 108) = 646
(144 = 144) = 264 | -8 | -22 | 14 |
(((8 + 5) * 9) * (9 + (2 * 2))) = | ((13 * 9) * (9 + (2 * 2))) = ((13 * 9) * (9 + 4)) = (117 * (9 + 4)) = (117 * 13) = 357 = 942
(117 * 13) = 357 = 621 = 3221
(117 * 13) = 357 = 3221 | (13 * 9) = 153 = 183
(13 * 9) = 93
(13 = 93)
(13 = 93)
(83)
(83)
(83)
(83)
(83)
(83)
(83)
(83)
(83)
(83)
(83) | -3 | -61 | 58 |
(((6 - 6) - (6 + 4)) - ((2 - 1) + (9 - 8))) = | ((0 - (6 + 4)) - ((2 - 1) - (9 - 8))) = ((0 - 10) - ((2 - 1) - (9 - 8))) = (0 - (2 - (9 - 8))) = (0 - (2 - (9 - 8)) = (0 - 1) = -1 | (0 - (6 + 4)) = ((0 - 10) - ((2 - 1) + (9 - 8))) = (0 - (6 - (6 + 4)) = (0 - (6 + 4)) = (0 - (6 + 4)) = (0 - 10) = -10 = -10 = -10 = -10 | -39 | -55 | 16 |
(((5 * 6) - (8 + 2)) * (4 * 2)) = | (30 - (8 + 2)) = (30 - 10) = 20 = 10 = 10 = 10
(30 - 10) = 20 = 10
(30 - 10) = 20
(30 - 10) = 20
(10 - 20) = -10
(10 - 5) = 10
( | (15 - (8 + 2)) = (15 - 10) = 5 = 5 = 5 = 5 = 5
O = 5 = 5 = 5
1
(1 - 7) = -6
-6
(1 - 7) = -6
-7
(1 - 7) = -6
-7
(1 | -46 | -54 | 8 |
(((7 + 7) + 9) - (1 - (3 - 1))) = | (14 + 9) + (1 - (3 - 1))) = (14 - (1 - (3 - 1))) = (14 - 2) + (1 - 2) = (14 - 2) = 12 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10
(14 - 2) + ( | (14 + (9 + 9)) = (14 + 30) = 46 = 46
(14 + 30) = 46 = 46
(14 + 46) = 60
R (70) = 60
R (60) = 60
I (60) = 60
R (60) = 60
I ( | -23 | -51 | 28 |
(((2 * 2) * 9) * 2) = | (4 * 9) = 36 = 36
(4 * 9) = 36
(24 = 36) = 36
(24 = 36) = 72
(36) = 72
(36 = 36) = 72
(36) = 72
(72) = 72
0
(72 + 7) = 79
89
( | (4 * 9) = 36 = 36.
36
(4 * 9) = 36
72
(4 * 9) = 36
36
(4 * 9) = 36
36
(4 * 9)
36
(4 * 9)
36
(4 * 9)
36
(4 * 9)
36 | -21 | -23 | 2 |
(((4 + 4) + (2 + 7)) * 4) = | (8 + (2 + 7)) = (8 + 9) = 17 = 17 = 17 = 17 = 17
(8 + 9) = 29 = 47
(8 + 9) = 29 = 29
(7 + 9) = 34
(7 + 9) = 34
(7 + 9) = 34 | (6 + (2 + 7)) = (6 + 9) = 15 = 18 = 18 = 18 = 18 = 18
(6 + 9) = 27 = 27 + 21
(6 + 21) = 33 = 39
(3 + 21) = 24
(3 + 21) = 24
(3 + 21 | -20 | -22 | 2 |
(((2 + 4) * 8) + 2) = | (6 * 8) = 48
48
(6 + 8) = 26
34
(6 + 26) = 32
22
(6 + 26) = 28
38
(6 + 26) = 34
40
(6 + 26) = 34
40
(6 + 26) = 34
34
(6 + | (6 * 8) = 48 + 48 = 96.
72
(6 + (1 + 2)) = (6 + 3) = 9 = 13 = 13 = 13 = 13 = 13
(6 + 10) = 17 = 27 = 41
31
(6 + 9) = 9
15
(6 + 9) = 21 | -23 | -26 | 3 |
(((4 * 8) * (4 - 8)) * 1) = | ((32 * (4 - 8)) * 1) = ((32 * -4) * 1) = (-128 * 1) = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = -128 = - | (32 * (4 - 8)) = (32 * -4) = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32 = -32) = 0 = -32 = -32 = -32 = -32 = -32 = - | 0 | -24 | 24 |
(((9 + 8) + 5) * (4 + (1 - 2))) = | ((17 + 5) * (4 + (1 - 2))) = (22 * (4 + (1 - 2))) = (22 * (4 + -1)) = (22 * 1) = 22 = 22 = 22 = 22 = 22
7
(22 * 1) = 22 = 22 = 22
7
(22 | ((21 + 5) * (4 + (1 + 2))) = (26 * (4 + (1 - 2))) = (26 * (4 + -1)) = (26 * 3) = 78 = 98
(98) = 94
(98) = 94
(98) = 94
{95 - 94} = 1
1 | -14 | -18 | 4 |
(((1 + 1) * (3 * 8)) + ((1 * 5) + (4 * 4))) = | ((2 * (3 * 8)) + ((1 * 5) + (4 * 4))) = ((2 * 24) + ((1 * 5) + (4 * 4))) = ((2 * 24) + (5 + (4 * 4))) = ((2 * 24) + (5 + 16)) = (48 + (5 + 16)) | ((2 * (3 * 8)) + (4 * (4 * 4))) = (1 + (3 * (4 * 4)) + (4 * 4)) = (1 + 32) = 32 = 32 = 32 = 32 | -11 | -85 | 74 |
(((5 + 3) - 8) - 9) = | (8 - 9) = (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 = | (8 - 8) = 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
(0 - | -12 | -16 | 4 |
(((9 - 6) * 3) - ((1 * 6) * 3)) = | (3 - 3) = 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 = 0 = 0 = 0 = | (3 * 3) = 9 = 9
(3 * 3) = 9 = 18
9
(3 * 3) = 9
9
(3 * 3) = 9
27
(3 * 3) = 9
9
(3 * 3) = 9
9
(3 * 3) = 9
9
(3 | -62 | -67 | 5 |
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