question
stringlengths
22
46
response_j
stringlengths
11
474
response_k
stringlengths
5
482
score_j
float64
-131
0
score_k
float64
-209
-1
magnitude
float64
1
189
(((3 - 4) + 4) * (9 - 1)) =
((1 + 4) * (9 - 1)) = (-5 * (9 - 1)) = (-5 * 8) = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40 = -40) = -4 = -4 = -
(*1 + (9 - 1)) = (-1 + 8) = 7 = 7 (7) = 7 = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 7
-13
-24
11
(((7 + 1) - 4) + 1) =
((8 - 4) + 1) = (4 + 1) = 5 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6 occurred in a refinery in the state of Pennsylvania. (6) = 6 = 6 = 6 = 6 = 6 Follow-up from the PQ which is containing information, it will
(8 - 4) = 4. (4) = 4. 6 (4 - 4) = 2. 2 (4 - 4) = 2. 2 (2 - 2) = 0. 0 (2 - 2) = 0 0 (2 - 2) = 0 0 (2 -
0
-20
20
(((1 - 2) + 5) - 3) =
((-1 + 5) - 3) = (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 + 5) = 6 = 6 = 6 = 6 = 6 = 6 = 6 = 6) = 6 = 6 = 6 = 6 = 6 = 6) = 6 = 6 = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6) = 6
0
-15
15
(((7 - 1) * (1 + 4)) + ((2 * 3) + 8)) =
((6 * (1 + 4)) + ((2 * 3) + 8)) = ((6 * 5) + ((2 * 3) + 8)) = ((6 * 5) + (4 + 8)) = (30 + (4 + 8)) = (30 + 12) = 42 = 42 6 (6 + (4 + 8
((6 * (1 + 4)) + ((2 * 3) + 8)) = (6 * (1 + 4)) = (6 * 5) = 30 = 30 = 30 = 30 = 30 = 10 2. (30 + 30) = 60 = 90 4. (30 + 30) = 60 6. (
-4
-47
43
(((1 - 9) + (7 + 3)) - 8) =
((-8 + (7 + 3)) - 8) = ((-8 + 10) - 8) = (2 - 8) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = -6 = -6 = -6 = -6 = -6
((8 + (7 + 3)) - 8) = (8 - 8) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 be 0 = 0 be 0 = 0 be 0 be 0 be 0 be 0 be 0 be
0
-20
20
(((1 - 7) * 7) + ((5 + 1) + 9)) =
((-6 * 7) + ((5 + 1) + 9)) = (-6 * (5 + 1)) = (-6 * 6) = -36 = -36 = -36 = -36 = -36 = -36 = -36 (1 + -36) = -36 = -36 = -36 = -36
((-6 * 7) + ((5 + 1) + 9)) = (57 + ((5 + 1) + 9)) = (57 + (5 + 9)) = (57 + 14) = 79 (57 + 14) = 79 (79 + say) = 79 8
-30
-35
5
(((7 * 1) * (3 - 3)) * 7) =
((7 * (3 - 3)) * 7) = ((7 * 0) * 7) = (0 * 7) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(7 * (3 - 3)) = (7 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
0
-18
18
(((4 + 4) - (4 + 9)) * 3) =
((8 - (4 + 9)) * 3) = ((8 - 13) * 3) = (-5 * 3) = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15 = -15
(8 - (4 + 9)) = (8 - 13) = -5 = -5 = -5 = -5 = -5 (8 - 13) = -5 = -5 = -5 (8 - 13) = -5 = -5 = -5 (8 - 13) = -5 = -5 -
0
-20
20
(((5 * 6) * (8 + 5)) * ((5 * 6) * 8)) =
((30 * (8 + 5)) * ((5 * 6) * 8)) = ((30 * 13) * ((5 * 6) * 8)) = (30 * (50 * 8)) = (30 * 240) = 690 = 1030 = 1030 = 1030 = 90 (1030 (10 * 240) = (
((30 * (8 + 5)) * ((5 * 6) * 8)) = (30 * 13) = 300 = 450 = 200 = 200 = 200 = 1002 (300 = 450) = 300 = 150 = 150 (450 = 150) = 300 = 150 = 150 (300 = 150) = 200 = 150 (300 =
-29
-64
35
(((4 * 4) + (4 - 5)) + 3) =
((16 + (4 - 5)) + 3) = ((16 + -1) + 3) = ((16 + -1) + 3) = (15 + 3) = 18 = 21 = 21 = 21 = 21 (18 + 18) = 36 = 66 = 66 (18 + 18) = 66 = 674 (18 -
(16 + (4 - 5)) = (16 + -1) = 15 = 15 = 15 = 15 = 15 = 15 = 17 (15 + 15) = 30 = 45 (15 + 15) = 30 (30 + 30) = 45 (45 + 30) = 75
-15
-19
4
(((8 * 7) - 4) * 1) =
((64 - 4) * 1) = (56 * 1) = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 = 56 (56 * 1) = 56 = 56 = 56 = 56 = 56 = 56 (56 * 1) = 56
(56 - 4) = 50 (56 - 4) = 48 8 = 48 8 = 48 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 = 24 8 =
-4
-14
10
(((9 + 6) * (1 * 6)) * (2 - 6)) =
(15 * (1 * 6)) * (2 - 6) = (15 * 6) = 9042 = 9042 = 9042 = 9042 = 9042 = 9042 = 9042 = 9042 = 9042 = 9042 (90 * 6) = 9042 = 9042 = 9042 = 606 (90 *
(15 * (1 * 6)) = (15 * 6) = 90 = 90 = 90 = 90 = 90 = 90 Instead of 90, 90 = 90. 0 (90 = 90) = 90 = 90 0 (90 = 90) = 90 = 90 0 (90 = 90) = 90 0 (
-42
-52
10
(((8 - 3) - (1 + 3)) * (7 * 1)) =
(5 - (1 + 3)) = ((5 - 4) * (7 * 1)) = (5 * (7 * 1)) = (5 * 7) = 35 = 35 H(5 * 7) = 35 = 35 How many times did you check this software piece of notification? Are there any surprises in there? If
(5 - (1 + 3)) = (5 - 4) = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 =
-21
-44
23
(((7 + 3) + (1 + 8)) + 4) =
((10 + (1 + 8)) + 4) = ((10 + 9) + 4) = (19 + 4) = 25 (25 - 25) = 0 = -0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
(10 + (1 + 8)) = (10 + 9) = 19 = 19 (19) = 19 (19) = 19 (19) = 19 (19) = 19 (19) = 19 Smart beta (19) = 21 (19) = 21 (21) = 21 South African investment
-11
-24
13
(((7 - 1) + 7) * (2 + (6 * 4))) =
((6 + 7) * (2 + (6 * 4))) = ((6 + 7) * (2 + 24)) = (13 * (2 + 24)) = (13 * 26) = 326 = 346 (26 + 34) = 50 = 74 (26 + 34) = 94 (26 + 34) = 94
(6 * (2 + (6 * 4))) = (6 * (2 + 24)) = (6 * 26) = 66 = 66 = 6 + 6 = 18 = 6 = 18 = 6 = 18 = 6 = 18 = 18 = 18 = 18 = 18 = 18 = 18 = 18 Put 1, 6, 11, 5, 11
-2
-32
30
(((3 - 6) + (9 + 7)) * (5 + 4)) =
((-3 + (9 + 7)) * (5 + 4)) = ((-3 + 16) * (5 + 4)) = ((-3 + 16) * 9) = (13 * 9) = 27 (13 + 9) = 32 (13 + 9) = 47 (26 + 42) = 71 (
(-3 + (9 + 7)) = (-3 + 16) = 13 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 (17 + 17) = 38 = 59 (29 + 22) = 77 (29 + 22) = 77 (29 + 22) = 77 (22 + 22) = 77
-9
-46
37
(((6 - 3) - 8) + 9) =
((3 - 8) + 9) = (-5 + 9) = 4 + 5 = 9 = 9 2. (9) + 9 = 18 = 18 = 18 1. (9) + 9 = 18 =18 1. (9) + 9 = 18 2. (9) + 9 = 18
(3 - 8) = -5 = -5 = -5 = -5 (0 - 5) = -5 = -5 (0 - 5) = -5 = -5 (0 - 5) = -5 (-5 = -5) = -5 0 = -5 0 = -5 (0
-4
-14
10
(((9 + 8) - 8) * 8) =
(17 - 8) = 9 = 5 = 5 = 5 (9 = 5) = 4 = 4 (4 = 4) = 4 0 (4 = 4) = 4 0 (4 = 4) = 4 0 (4 = 4) = 4 0 (4 = 4) = 4 0
(17 - 8) = 11 = 9. 5 (17 - 11) = 8 = 5 6 (1 + 5) = 6 7 (1 + 6) = 7 7 (1 + 3) = 4 7 (1 + 3) = 4 5 7 (7 - 4) =
-14
-23
9
(((2 - 2) + (8 - 6)) + (7 + (6 + 4))) =
((0 + (8 - 6)) + (7 + (6 + 4))) = ((0 + 2) + (7 + (6 + 4))) = ((0 + 2) + (7 + 10)) = (2 + (7 + 10)) = (2 + 17) = 19 = 21 = West Pa. (17
((0 + (8 - 6)) + (7 + (6 + 4))) = ((0 + 2) + (7 + (6 + 4))) = ((0 + 2) + (7 + 10)) = (2 + (7 + 10)) = (2 + 23) = 25 = 27 = 27 = 27 = 27 = 27
0
-4
4
(((3 * 5) - (3 + 3)) - (8 + (1 - 3))) =
((15 - (3 + 3)) - (8 + (1 - 3))) = ((15 - 6) - (8 + (1 - 3))) = ((15 - 6) - (8 + -2)) = (9 - (8 + -2)) = (9 - 6) = 3 = 3 = 3 (9 - 6)
(15 - (3 + 3)) = (15 - 6) = 9 = 3 = 3 = 3 (15 - 6) = 9 = 3 (9 + 2) = 11 (9 - 11) = -2 (9 - 11) = -2 (-2 - 1) = -3 (-2 - -3)
0
-86
86
(((5 - 1) * (9 * 5)) * 8) =
(4 * (9 * 5)) = (4 * 25) = 100 = 100 = 100 = 100 = 100 (4 * 25) = 100 = 100 = 100 = 100 (4 * 25) = 100 = 100 (4 * 50) = 100 = 100 20 (4 * 50) = 100 = 100 20
(4 * (9 * 5)) = (4 * 45) = 180 = 180. 60 (4 * 45) = 90 = 90. 90 (4 * 45) = 90 = 90. 30 What (4 + 18) = 22. 28 ((-4 + 18) - 1) = 11 = 9
-22
-28
6
(((8 + 8) - 3) + 5) =
(16 - 3) = 13 = 12 = 12 = 12 = 12 = 12 = 12 (16 - 3) = 13 = 11 = 11 (16 - 3) = 13 13 (16 - 3) = 13 19 (16 - 3) = 13 11 (16 - 3) = 13 17 (
(24 - 3) = 21 = 18 = 18 = 18 = 18 = 18 = 18 (24 + 3) = 27 = 31 (24 + 3) = 27 (24 + 3) = 27 (27) - -1 = 28 (27) - -1 = 28 (28)
-13
-15
2
(((3 * 6) * (3 * 7)) - (6 * (5 - 7))) =
((18 * (3 * 7)) - (6 * (5 - 7))) = ((18 * 21) - (6 * (5 - 7))) = ((18 * 21) - (6 * -2)) = (18 - (6 * -2)) = (18 - -12) = 30 = 42 = 42 = 42 = 42 =
((18 * (3 * 7)) - (6 * (5 - 7))) = ((18 * 21) - (6 * (5 - 7))) = ((18 * 21) - (6 * -4)) = (126 - (6 * -4)) = (126 - -24) = 180 = 36 = 36 = 36 = -
-5
-12
7
(((2 - 4) * 7) - 4) =
((-2 * 7) - 4) = (-14 - 4) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18) = (18 = -18) = -18 = -18 = -19 = -19 (18 = -18) = -
(2 * 7) - (2 - (7 - 3))) = (2 * 7) - (2 - (7 - 3))) = (2 - (2 - (7 - 3))) = (2 - (2 - 4)) = (2 - -1) = 3 = 3 = 3 = 3 = 3 = 3 = 3 2
0
-63
63
(((2 - 7) * 5) * 3) =
((-5 * 5) * 3) = (-25 * 3) = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75 = -75) = -75 = -75 = -75 = -75 =
((-5 * 5) * 3) = (-25 * 3) = -75 = -75. -75 (5 * 3) = 75 = 75. 15 (5 * 3) = 15.5 15.5 (5 + 15) = 20 25 (5 + 15) = 20 25 (
0
-10
10
(((3 - 6) + 3) * 2) =
((-3 + 3) * 2) = (0 * 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) =
(3 + 2) = 5 = 7 = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (7) = 7 (
0
-15
15
(((8 - 3) + 2) + (7 - (8 - 8))) =
((5 + 2) + (7 - (8 - 8))) = (7 + (7 - 8)) = (7 + -1) = (7 + -1) = 6 = 7 = 6 = 6 = 6 = 6 = 6 ((7 + 1) + (7 - (8 - 8))) = (7 + (7 -
(5 + (7 - (8 - 8))) = (5 + 0) = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5) =
-18
-40
22
(((7 + 2) * (2 - 8)) + (8 * 8)) =
((9 * (2 - 8)) + (8 * 8)) = ( ((9 * -6) + (8 * 8)) + (8 * 8)) = ((9 * -6) + 64) = (-54 + 64) = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2
(9 * (2 - 8)) + (8 * 8) = (9 * 6) = 54 + 54 = 144 (9 * 6) = 54 = 54 = 54 = 54 = 54 (9 * 6) = 54 = 54 = 54 (6 = 54) = 54 = 54 (6 = 54) = 54
-15
-35
20
(((8 - 9) * 8) * (4 + 7)) =
(1 * (4 + 7)) = (1 * 11) = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 = 11 (1 * 11) = 11 = 11 = 11 = 11 (1 * 11) = 11 (1 * 11) =
(1 * 8) = 8 = 8 = 8 = 8 = 8 = 8 = 8 (8 + 9) = 17 (8 + 17) = 25
-27
-39
12
(((9 * 8) * (6 * 3)) + 2) =
((72 * (6 * 3)) + 2) = ((72 * 18) + 2) = (126 + 2) = 128 = 130 ((126 + 2) + 2) = 128 = 134 (128 + 2) =134 (128 + 2) = 134 (134 + 2) = 134 (136 + 2) =
(72 * (6 * 3)) = (72 * 9) = 777 = 777 = 77 (77) = 77 = 77 (77) = 77 (77) = 77 (77) = 77 (77) = 77 (77) = 77 (77) = 77 (77) = 77 Cash (77
-2
-28
26
(((6 * 7) + (5 - 4)) * 4) =
((42 + (5 - 4)) * 4) = ((42 + 1) * 4) = (43 * 4) = 88 = 88 = 88 = 88 = 88 (88) = 88 = 88 = 88 1 = 88 = 88 1 = 88 1 = 88 1 = 88 1 =
(42 + (5 - 4)) = (42 + 1) = (42 + 1) = 43 (42 + 1) = 43 (42 + 1) = 43 (43) = 43 1 1 1 1 1 1 1 1
-3
-24
21
(((9 * 9) - 1) + 5) =
(81 - 1) = 80 = 79 (81 - 1) = 80 (81 - 1) = 80 69 (81 - 1) = 80 77 (81 - 1) = 80 79 (81 - 1) = 80 79 (81 - 1) = 80 79 (81 - 1) =
(81 + 5) = 84 = 79. , 84 (81 + 1) = 82. 7 (81 - 81) = 0. 0 (1 + 2) = 3 3 (8 + 2) = 10 12 (8 + 2) = 10 12 (8 + 2) = 10
-21
-25
4
(((6 + 4) - (8 * 7)) * ((8 + 3) * 9)) =
((12 - (8 * 7)) * ((8 + 3) * 9)) = ((12 - 56) * ((8 + 3) * 9)) = ((12 - 56) * (11 * 9)) = (48 * (11 * 9)) = (48 * 99) = 468 = 578 = 709 = 718 (
(10 - (8 * 7)) = (10 - 56) = -46 = -46 = -46 (46 + -46) = 2 (2) = 8 = 6 2 (4 - 8) = -4 -4 (4 - 8) = -4 -4 (4 - 8) =
-15
-87
72
(((6 * 7) + 5) * 8) =
(42 + 5) = 52 = 53 = 53 = 53 = 53 (52 + 53) = 95 (52 + 53) = 109 9 (52 - 59) = 9 -5 (52 + 9) = 59 73 (52 + 9) = 61 83 (2 - 5) = -3
(42 + 5) = 47 7 (42 - 7) = 59 29 (42 + 7) = 59 151 (38 + 7) = 49 51 (7 - 9) -2 (1 + 5) = 4 5 (7 - 4) = 3 3 (7 + 4)
-17
-23
6
(((8 * 3) * 2) - 1) =
(24 * 2) = 488 after (48 - 7) = 41 = 39 (42 + 51) = 81 (81 + 81) = 162 (81) = 153 (81) = 153 (153) = 153 (153) = 153 (153) = 153 (153) = 153 (123)
(24 * 2) = 48 = 96 = 96 (24 * 2) = 96 = 96 4 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8
-13
-14
1
(((4 + 6) * 5) + ((7 * 9) * 5)) =
((10 * 5) + ((7 * 9) * 5)) = (50 + ((7 * 9) * 5)) = (50 + (63 * 5)) = (50 + 315) = 75 = 100 (50 + 315) = 75 = 175 (75 + 175) = 200 (75 + 175) = 200 (
(10 * 5) = (50 * 5) = 100 = 50 = 50 = 50 Te (50) = 50 = 50 = 50 = 50 5 (50 = 50) = 50 = 50 0 (50 * 5) = 50 50 Beginning in 2019, Amazon (AMZN) will acquire its 5th asset
-12
-57
45
(((6 - 5) + (7 * 4)) * (9 - 5)) =
((1 + (7 * 4)) * (9 - 5)) = ((1 + 28) * (9 - 5)) = (1 * (9 - 5)) = (1 * 6) = 6 = 6 = 6 = 6 = 6 = 6
(1 + (7 * 4)) * (9 - 5) = (1 + 28) = 29 = 29 = 29 = 29 (1 + 28) = 29 = 29 = 29 (1 + 28) = 29 = 29 (1 + 28) = 29 = 29 (1 + 28) = 29 (1 + 28)
-13
-36
23
(((2 * 9) + (6 + 6)) * 3) =
((18 + (6 + 6)) * 3) = ((18 + 12) * 3) = (30 * 3) = 90 = 180 (90) * 3 = 270 (90) * 3 = 270 270 (90 + 3) = 93 111 (90) * 3 = 270 57 (90) *
(18 + (6 + 6)) = (18 + 12) = 30 = 42 (30 + 14) = 56 (30 + 14) = 56 (56) = 56 (56) = 56 (56) = 56 (56) = 56 (56) = 86 (86) = 86 (86)
0
-28
28
(((4 - 3) - (9 * 8)) + 1) =
((1 - (9 * 8)) + 1) = ((1 - 72) + 1) = (-61 + 1) = -60 = -60 = -60 = -60 = -60 = -60 = -60 ((1 - 72) + 1) = (-61 + 1) = -60 = -60 = -60
(1 - (9 * 8)) + 1 = (1 - 72) = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 = -71 =
-3
-16
13
(((3 + 3) - 4) + 9) =
(6 - 4) = (2 - 9) = -7 = -7 = -7 = -7 (2 - 9) = -7 = -7 = -7 -9 (2 - 9) = -7 = -7 -11 (6 - 7) = -1 - 1 The 1 = 1
(6 - 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 = 2 = 2
-9
-14
5
(((7 + 2) * (3 * 4)) - 6) =
(9 * (3 * 4)) - 6) = (9 * 12) = 192 = 252 = 476 = 476 (72 + 169) = 271 = 271 (72 + 179) = 291 = 349 (72 + 179) = 291 = 349 (71 + 179) = 429 (291 + 349) = 5
(15 * (3 * 4)) = (15 * 8) = 180 = 540 = 540 = 590 = 590 = 590 = 90 = 90 = 90) = 90 = 90 = 90 = 90 = 90 = 90 = 90) = 90 = 90 = 90) = 180 = 90 = 90) = 90 = 90) = 90 =
-17
-26
9
(((2 * 5) - 4) * (7 * (5 + 5))) =
((10 - 4) * (7 * (5 + 5))) = (10 * (7 * 10)) = (10 * 70) = 70 = 7034 = 7034 = 7034 (70 + 70) = 145 = 145 (70 + 70) = 145 5 = 14542 5 = 14542
((10 - 4) * (7 * (5 + 5))) = ((10 - 4) * 10) = (6 * 10) = 60 = 60 (6 * 10) = 60 = 120 = 120 (6 * 10) = 70 (6 * 10) = 90 (6 * 10) = 90 50 1
-24
-27
3
(((9 * 6) * 5) + (7 + (6 * 9))) =
((36 * 5) + (7 + (6 * 9))) = ((36 * 5) + (7 + 36)) = ((36 * 5) + 49) = (120 + 49) = 359 = 59 = 509 (120 + 49) = 359 = 59 = 49 (120 + 49) = 359 = 59 (
{36 * 5) + (7 + (6 * 9))) = (36 * 5) + (7 + 54) = 91 = 91 = 91 (1 + 91) + (7 + 54) = 92 = 92 (1 + 92) + (7 + 54) = 92 (94 + (7 + 54))
-20
-53
33
(((9 + 1) - (1 * 5)) * 3) =
((10 - (1 * 5)) * 3) = ((10 - 5) * 3) = (5 * 3) = 15 = 45 = 45 (5 = 45) = 45 (5 = 45) = 45 2 (5 = 45) = 45 5 (5 = 45) = 45 0 4 (
() * 3 (1 * 3) = 3 (3 * 3) = 9 9 (3 * 3) = 9 9 (3 * 3) = 9 27 (3 * 3) = 9 9 (3 * 3) = 9 27 (3 * 3) = 9 27 (
0
-31
31
(((7 * 7) + (8 - 6)) - ((1 + 3) - (6 - 8))) =
((49 + (8 - 6)) - ((1 + 3) - (6 - 8))) = ((49 + 2) - ((1 + 3) - (6 - 8))) = ((49 + 2) - (3 - (6 - 8))) = ((49 + 2) - (3 - -2)) = (50 - (3 -
((49 + (8 - 6)) - ((1 + 3) - (6 - 8))) = (49 + 4) = 57 = 61 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 = 57 (51 - 57) = -6 = -6 = -6 (51 + 57)
-19
-95
76
(((2 - 6) * 1) - ((7 * 1) * 3)) =
(-4 * 1) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 (4 + 9) = (10 + (10
(4 * 1) = 4 = 4 = 4 = 4 (4 = 4) = 8 = 8 (8 = 8) = 8 (8) = 8 (8) = 8 (8) = 8 K = 8 (8) = 8 (8) = 8 (8) = 8 234
-59
-65
6
(((5 - 7) - (3 * 9)) + 7) =
(2 - (3 * 9)) = ((2 - 27) + 7) = (-25 + 7) = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = -18 = - = -18 = -18 = -12) = -180 =
(4 - (3 * 9)) = (4 - 27) = -23 = -23 = -23 = -23 = -23 (4 - 27) = -23 = -23 = -23 Ne(23) = -23 = -23 = -23 (3 - 23) = -23 = -23
-13
-25
12
(((5 - 3) * (1 - 3)) * 3) =
((2 * (1 - 3)) * 3) = ((2 * -2) * 3) = (-4 * 3) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = 0 = 0 = 0 = 0 = 0 = 0 =0 =0
((2 * (1 - 3)) * 3) = (2 * -2) = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -4 = -
0
-16
16
(((3 + 6) * (9 * 4)) * (9 + (1 * 1))) =
((9 * (9 * 4)) * (9 + (1 * 1))) = ((9 * 36) * (9 + (1 * 1))) = (81 * (9 + 1)) = (81 * 10) = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990 = 1990
((9 * (9 * 4)) * (9 + (1 * 1))) = (9 * 24) = 72 = 72 = 72 = 72 = 72 = 72 = 72 (72 - 72) = 0 = 0 = 0 0 = 0 = 0 0 = 0 0 = 0 0 = 0
-29
-66
37
(((5 + 1) + 1) * 2) =
((6 + 1) * 2) = (7 * 2) = 14 = 28 = 28 = 28 (28) = 2894 = 2894 (28) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26 (26) = 26
(6 + 1) = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7) = (6 + 2) = 8 = 8 = 8 = 8
0
-14
14
(((8 * 7) - 9) - (1 - (2 + 6))) =
(56 - 9) + (1 - (2 + 6))) = (56 - 9) + (1 - 14) = (50 + (1 - 14)) = (50 + -13) + 9 = 43 = 34 = 34 = 34 = 34 = 34 (50 - 13) + (3 - 9) = (50 + -
(56 - 9) = 55 = 49 = 48 = 48 = 48 = 48 (56 - 9) = 53 = 47 = 49 (46 - 39) = 11 = 5 (6 - 11) = -5 -1 -1 -1 -1 -1 -
-22
-60
38
(((5 - 5) - 4) - (3 - 4)) =
((0 - 4) - (3 - 4)) = ((0 - 4) - -1) = (-4 - -1) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
(0 - 3) - (3 - 3) = (0 - 3) - (3 - 3) = (0 - 3) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -
0
-15
15
(((3 - 7) - 4) * 6) =
((-4 - 4) * 6) = (-8 * 6) = -48 = -48 = -48 = -48 = -48 = -48 = -48 = -48 = -48 = -48 = -48 = -48) = (48 = -38) = -30 = -30 = -30 = -30 = -30
(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 (0 + 0) = 0
0
-21
21
(((9 - 4) - 6) - 6) =
((5 - 6) - 6) = (-1 - 6) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -7 = -7 = -7 = -7) = -7 =
(5 - 6) = -1 = -1 = -1 = -1 = -1 = -1 = -1) = (1 - 1) = (1 = -1) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0: 0 = 0 = 0: 0 = 0:0 = 0:
0
-14
14
(((8 + 3) - (7 - 3)) * 3) =
((11 - (7 - 3)) * 3) = ((11 - 4) * 3) = (7 * 3) = 21 = 63 = 72 (7 * 3) = 28 = 28 (7 * 3) = 28 (7 * 3) = 28 (28) = 28 (28) = 28 (28
(11 - (7 - 3)) = (11 - 4) = 7 = 4 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 = 7 =
0
-20
20
(((3 + 7) + 9) + ((4 * 5) - 4)) =
((10 + 9) + ((4 * 5) - 4)) = (19 + ((4 * 5) - 4)) = (19 + (20 - 4)) = (19 + 16) = 33 = 43 = 43 (43 + 33) = 56 = 65 (63 + 65) + 44 = 106 (63 + 44)
(10 + 9) = 19 = 19 = 19 = 19 = 19 = 19 = 19 = 19 = 19 = 19 = 19 = 19 (10 + 9) = (19 + 19) = 38 = 38 (7 + 19) = 28 = 43 (22 + 28) = 45 (14 + 42) = 56 (
-10
-59
49
(((7 - 7) + 2) + ((6 * 1) - (9 + 6))) =
((0 + 2) + ((6 * 1) - (9 + 6))) = ((0 + 2) + (6 - (9 + 6))) = (-2 + (6 - 15)) = (-2 + under 14) = -2 = -2 = -2 = -2 = -2 = -2 = -2 = -
(*1 + 2) + ((6 * 1) - (9 + 6))) = ((1 + 2) + (6 * (9 + 6))) = ((1 + 2) + (6 * 15)) = (3 + (6 * 15)) = (3 + 90) = 93. 93 (3 + 60) + (3
-22
-30
8
(((4 + 1) * (7 - 2)) + ((1 + 6) + 6)) =
(5 * (7 - 2)) = (5 * 5) = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 = 25 (5 * 5) = 25 = 25 = 25 = 25 = 25 (
(5 * (7 - 2)) = (5 * 5) = 25 = high = 25 = 25 = 25 = 25 (5 * 5) = 25 = 25 = 25 (5 * 5) = 25 = 25 (5 * 5) = 25 = 25 T (5 = 25) = 25 (5 * 5)
-75
-77
2
(((5 * 7) - 6) - 9) =
(35 - 6) = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 = 29 (((5 * 7) - 6) - 9) = (35 - 6) = 29 = 29 = 29 ((-5 - 6) - 9) = (31 - 9) = 20 = 23 (16 +
(35 - 9) = 26 = 23 = 23 = 23 (25 - 23) = 2 = 1 = 1 (25 - 23) = 2 = 1 2 (25 - 23) = 2 1 (5 - 2) = 3 3 (5 - 6) = -1 -1 (7 - 6
-13
-14
1
(((1 - 9) - (7 + 4)) + 3) =
((-8 - (7 + 4)) + 3) = ((-8 - 11) + 3) = (-19 + 3) = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 = -16 (1 - 16) = -15 = -15 = -15
(8 - (7 + 4)) = (8 - 11) = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3 = -3
0
-25
25
(((7 * 5) + (7 - 8)) * ((6 * 1) * (6 * 1))) =
((25 + (7 - 8)) * ((6 * 1) * (6 * 1))) = ((25 + -1) * ((6 * 1) * (6 * 1))) = ((25 + -1) * (6 * (6 * 1))) = ((25 + -1) * (6 * 6)) = (24 * 6
((35 + (7 - 8)) * ((6 * 1) * (6 * 1))) = ((35 + -1) * ((6 * 1) * (6 * 1))) = ((35 + -1) * (6 * (6 * 1))) = (35 * (6 * 6)) = (35 * 36)
-25
-27
2
(((4 * 6) * (7 - 7)) - (8 * (9 - 4))) =
((24 * (7 - 7)) - (8 * (9 - 4))) = ((24 * 0) - (8 * (9 - 4))) = ((24 * 0) - (8 * 5)) = (0 - (8 * 5)) = (0 - 40) = -40 = -40 = -40 = -40 =
(24 * (7 - 7)) - (8 * (9 - 4))) = (24 * 0) - (24 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 Supp(g) = 4*g - 4. Let d be (-1
0
-54
54
(((8 - 4) + 5) * 8) =
((4 + 5) * 8) = (9 * 8) = 72 = 72 = 72 = 72 = 72 = 72 = 72 = 72 3 (72 + 72) = 146 = 146 = 146 9 (72 + 66) = 189 = 279 12 (72 + 141) = 397 45 (159 +
(4 + 5) = 9 = 13 = 13 = 13 = 0 (9 + 7) = 16 = 23 = 39 (16 + 27) = 49 (16 + 29) = 71 (1 + 1) = 8 (1 + 1) = 8 (8 + 8) = 16 (1 + 1) =
0
-14
14
(((5 - 8) - 2) - 1) =
((-3 - 2) - 1) = (-5 - 1) = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6 = -6) = (6 = -6) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0) = 0 =
(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 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1 = 1
0
-18
18
(((8 * 7) + (8 - 3)) * (5 + 7)) =
((56 + (8 - 3)) * (5 + 7)) = ((56 + 5) * (5 + 7)) = ((56 + 5) * 12) = (61 * 12) = 72 = 72 = 72 (72 + 72) = 1299 = 1529 = 2717 (72 = 1299) = 1529 =
(56 + (8 - 3)) = (56 + 5) = 61 = 46 = 46 (56 + 5) = 61 = 61 (56 - 61) = 9 (56 + 9) = 55 (56 + 9) = 65 (66 - 66) = 9 (6 + 9) = 15 (6
-1
-55
54
(((6 + 8) + 6) * ((2 - 4) * (8 * 2))) =
((14 + 6) * ((2 - 4) * (8 * 2))) = ((14 + 6) * (-2 * (8 * 2))) = (20 * (-2 * (8 * 2))) = (20 * -4) = -40 = -40 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
(14 + 6) = 20 = 24 = 24 = 24 (20 + 24) = 44 = 68 = 88 (20 + 24) = 88 (44 + 88) = 191 (14 + 88) = 191 (14 + 88) = 191 (14 + 88) = 191 1
-32
-98
66
(((3 - 5) * (1 * 3)) - (6 + (4 * 7))) =
((-2 * (1 * 3)) - (6 + (4 * 7))) = ((-2 * 3) - (6 + (4 * 7))) = ((-2 * 3) - (6 + 28)) = (12 - (6 + 28)) = (12 - 40) = 28 = 22 = 22 Brandon hinted
((-2 * (1 * 3)) - (6 + (4 * 7))) = ((-2 *3) - (6 + (4 * 7))) = ((-2 * 3) - (6 + 28)) = ((-2 * 3) - 36) = (6 - 36) = -30 = -30 = -30 =
-12
-14
2
(((9 * 2) - 4) * ((3 * 8) + (1 + 8))) =
((18 - 4) * ((3 * 8) + (1 + 8))) = ((18 - 4) * (24 + (1 + 8))) = ((18 - 4) * (24 + 9)) = (14 * (24 + 9)) = (14 * 39) = 694 (54 - 39) = 189 = 195 i =
(18 - 4) = 14 = 10 = 10 (14 - 4) = 10 = 8 2 (18 + 8) = 26 34 (18 - 4) = 16 10 (12 - 4) = 8 4 (12 - 4) = 8 8 ((12 - 4) + 9) = (
-13
-96
83
(((1 * 1) * (6 - 1)) + ((4 - 8) - 9)) =
((1 * (6 - 1)) + ((4 - 8) - 9)) = ((1 * 5) + ((4 - 8) - 9)) = ((1 * 5) + (-4 - 9)) = (5 + (-4 - 9)) = (5 + -13) = -8 = -8 = -8 = -
((1 * (6 - 1)) + ((4 - 8) - 9)) = ((1 * 5) + ((4 - 8) - 9)) = ((1 * 5) + (-4 - 9)) = (-5 + (-4 - 9)) = (-5 + -13) = -18 = -18 = -18 = -
0
-4
4
(((3 - 8) * (9 * 7)) - 9) =
((-5 * (9 * 7)) - 9) = ((-5 * 63) - 9) = (-315 - 9) = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312 = -312
((-5 * (9 * 7)) - 9) = ((-5 * 63) - 9) = (-285 - 9) = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306 = -306
-4
-6
2
(((9 - 3) + (6 * 5)) - 2) =
(6 + (6 * 5)) - 2 = (6 + 30) = 36 = 42 = 42 (6 + (6 * 5)) = (6 + 30) = 36 = 36 (6 + 30) = 36 = 36 (36) = 36 (36) = 36 (36) = 36 (36) =
(6 + (6 * 5)) = (6 + 30) = 361 = 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
-16
-20
4
(((5 + 5) * (7 + 2)) + (3 - 3)) =
((10 * (7 + 2)) + (3 - 3)) = ((10 * 9) + (3 - 3)) = (10 + (3 - 3)) = (10 + 1) = 11 = 11 = 11 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 =
(10 * (7 + 2)) = (10 * 9) = 90 = 90 = 90=90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 10 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90 = 90
-11
-42
31
(((7 * 5) * 6) + (1 * 2)) =
((35 * 6) + (1 * 2)) = ((35 * 6) + 2) = (105 + 2) = 107 = 109 (107 + 2) = 109 = 109 (109 = 109) = 109 (109 = 109) = 10 (109) = 10 (109) = 10 (109) = 10
(35 * 6) = 70 = 70. 70 (35 * 6) = 30.5 = 30.5. 30 (30 - 30) = 0. 0 (30 - 30) = 0. 0 (0 + 1) = 3 3 (0 + 1) = 3 3
-5
-37
32
(((6 * 7) * (5 * 1)) + 7) =
(42 * (5 * 1)) + 7 = (42 * 5) = 210 = 105 = 105 = 105 (42 * 5) = 105 = 105 (42 * 5) = 105 = 105 (42 * 5) = 105 ( synergic ) = 105 ( ( 42 * 5) = 105 ( 105 ( 100
(18 * (5 * 1)) = (18 * 5) = 90 = 90 (18 * 5) = 90 = 90 0 (18 * 5) = 90 180 (18 * 5) = 90 90 (18 * 5) = 90 90 (18 * 5) = 90 90 (18
-17
-33
16
(((3 * 8) - 8) + ((4 - 5) + (3 - 5))) =
((24 - 8) + ((4 - 5) + (3 - 5))) = ((24 - 8) + (-1 + (3 - 5))) = (16 + (-1 + (3 - 5)) + (3 - 5)) = (16 + -2) = 14 = 12 (12 (12 (12 - 12)))
(24 - 8) = 16 = 8 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 = 16 (14 - 6) = (10 - 6) = 2 = 4 = 2 = 2 2 (7 - 2) = 5rench = 3 5 desert (7 - 2)
-54
-93
39
(((2 - 9) + 2) * ((2 + 6) + (4 + 4))) =
((-7 + 2) * ((2 + 6) + (4 + 4))) = ((-7 + 2) * (8 + (4 + 4))) = ((-7 + 2) * (8 + 8)) = (5 * (8 + 8)) = (5 * 16) = 80 = 80 = 80 0
((-7 + 2) * ((2 + 6) + (4 + 4))) = ((-7 + 2) * (8 + (4 + 4))) = ((-7 + 2) * (8 + 8)) = (-5 * (8 + 8)) = (5 * 16) = 80 = 80 4 (8 * 8)
-4
-11
7
(((7 - 1) * (4 - 6)) + 1) =
((6 * (4 - 6)) + 1) = ((6 * -2) + 1) = (-12 + 1) = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 = -11 (1 + 1) = (
(6 * (4 - 6)) = (6 * -2) = -12 = -12 = -12 = -12 = -12 = -12 = -12 = -12 (6 * -2) = -12 = -12 = -12 = -12 -36 ((3 + 5) + 6) = (8 +
0
-20
20
(((1 * 2) * 4) * 4) =
(2 * 4) = 8 (2 * 4) = 16 08 (2 * 4) = 16 32 (2 * 4) = 16 32 (2 * 4) = 16 32 (2 * 4) = 16 32 (2 * 4) = 16 16 (2 * 4) =
(2 * 4) = 8 = 8 (2 * 4) = 8 (8 = 8) 8
-18
-19
1
(((8 * 2) * 3) + ((5 - 3) - 5)) =
((16 * 3) + ((5 - 3) - 5)) = (24 + ((5 - 3) - 5)) = (24 + 2) = 26. 26 (2 - 26) + (2 - 26) = -24 = -26 -26 (2 - 26) + -22 = -28 - 26
(16 * 3) = 48 (16 * 3) = 48 48 = 48 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
-38
-63
25
(((5 + 9) - (6 + 5)) * (1 - 1)) =
((14 - (6 + 5)) * (1 - 1)) = ((14 - 9) * (1 - 1)) = ((14 - 9) * 0) = (5 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0
((14 - (6 + 5)) * (1 - 1)) = ((14 - 11) * (1 - 1)) = (2 * (1 - 1)) = (2 * 0) = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 =
-5
-10
5
(((2 * 3) * 9) - (2 + (5 - 4))) =
(6 * 9) - (2 + (5 - 4))) = (6 * 9) - (2 + 1)) = (6 + 1) = 7 (6 + 1) = 7 7 (6 + 1) = 7 7 (6 + 1) = 7 7 (6 + 1) = 7
(6 * 9) - (2 + (5 - 4))) = (6 * 9) - (2 + 1) = 8 = 8 = 8 = 8 = 8 = 8 = 4 Let t(q) = q - 4. Let c be t(8) - (2 + 1) = 5 = 7. Let x = -
-23
-27
4
(((4 * 3) - (9 - 9)) + 8) =
((12 - (9 - 9)) + 8) = (“(0 - 3) + 8) = (1 - 8) = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7 = -7) = -7 = -7 = -
(12 - (9 - 9)) + 8 = (12 - 0) = 12 = 12 = 12 = 12 = 0 (12 + 0) = 12 = 12 = 12 12 (12 - 12) = 0 0 (9 - 12) = 0 -3 (12 - 12) = 0 0
-7
-16
9
(((5 - 9) + (5 * 4)) + 1) =
((-4 + (5 * 4)) + 1) = ((-4 + 20) + 1) = (12 + 1) = 13 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 = 14 (6 + 1) = 7 = 8 = 8 1 = 7 7
((-6 + (5 * 4)) + 1) = (((-6 + 20) + 1) = (16 + 1) = 17) = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17 = 17
-2
-4
2
(((6 * 3) * 4) + (5 * 7)) =
((18 * 4) + (5 * 7)) = ((18 * 4) + 35) = (72 + 35) = 97 = 237 = 237 = 237 = 237 = 237 = 237 = 237 (7 + 23) = (30 + 237) = 297 = 267 = 267 (7 + 237) = 303 = 267 (7 +
(18 * 4) = 72 = 72 = 72 = 72 = 72 (72) = 72 = 72 S element = 72 S e = 72 S e = 72 S e = 72 S e = 72 S e = 72 S e = 72 S e = 72
-2
-37
35
(((3 + 6) + (3 + 7)) + ((2 - 7) - 7)) =
((9 + (3 + 7)) + ((2 - 7) - 7)) = ((9 + 10) + ((2 - 7) - 7)) = ((9 + 10) + (-7 - 7)) = (19 + (-7 - 7)) = (19 + -14) = 5: alone (19 + -14) = 5
(9 + (3 + 7)) = (9 - 10) = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -1 = -
-15
-81
66
(((1 + 7) + (1 + 2)) * ((1 * 2) - 7)) =
((8 + (1 + 2)) * ((1 * 2) - 7)) = ((8 + 3) * ((1 * 2) - 7)) = ((8 + 3) * (2 - 7)) = (11 * (2 - 7)) = (11 * -5) = -55 = -55 = -55 = -55 = -
(8 + (1 + 2)) = (8 + 3) = 11 = 13 = 13 = 13 = 13 = 13 = 13 = 13 (8 + 3) = 17 = 19 (8 + 3) = 17 (8 + 3) = 17 (7 + 7) = 17 (7 +
0
-82
82
(((7 - 4) * 2) * 7) =
((3 * 2) * 7) = (6 * 7) = 63 = 39. 9 (6 * 7) = 486 = 486 = 484 = 468 (6 * 7) = 84 = 54 = 36 12 (6 * 7) = 84 = 84 72 (6 * 7) = 84
(3 * 7) = 21 = 21 (3 * 7) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 (21) = 21 0
-2
-22
20
(((8 - 5) + 2) * 3) =
((3 + 2) * 3) = (5 * 3) = 15 = 45 = 45 = 45.0. 6 (3 * 3) = 9 = 9 (3) = 9 (3) = 9. 6 (3 * 3) = 9 = 9 9 (3 * 3) = 9 = 9
(3 + 2) = 5 = 5 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 = 10 (3 = 10) = 7 = 7 = 10 (3 = 10) = 7 = 7 1 = 7 7 8 10 10 10 10
0
-13
13
(((8 + 8) * (2 - 8)) + (2 - 4)) =
(16 * (2 - 8)) + (2 - 4) = (16 * -6) = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 =
(16 * (2 - 8)) = (16 * -6) = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 = -96 =
-38
-48
10
(((3 + 2) * (1 * 3)) * ((3 + 2) + (8 + 9))) =
(5 * (1 * 3)) = (5 * 3) = 15 = 15 (5 * 3) = 30 5 (5 * 3) = 15 15 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(5 * (1 * 3)) = (5 * 3) = 15 = 27 = 27 = 27 = 27 (27 + 27) = 54 = 78 = 99 (27 + 99) = 132 (27 + 99) = 132 (132 - 132) = 0 (0 + 0) = 0 0 (81
-117
-124
7
(((2 - 7) + (8 * 3)) - 6) =
((-5 + (8 * 3)) - 6) = ((-5 + 24) - 6) = (15 - 6) = 9 = 5 = 4 = 4 (9 - 6) = 3 = 3 (3 + 3) = 6 (3 + 6) = 9 (3 + 6) = 9 9
= (5 + (8 * 3)) = (5 + 24) = 29 = 34 = 34 (29 + 34) = 55 = 69 = yes (29 + 34) = 59 = 59 75 (29 + 29) = 59 70 (29 + 29) = 59 80 (29 + 29) = 59
-3
-35
32
(((2 * 1) * (3 - 7)) * 2) =
((2 * (3 - 7)) * 2) = ((2 * -4) * 2) = (-8 * 2) = -16 = -16 = -16 = -16 = -16 = -16 In base 7, -9 = -972 + 986. -3 (5 + 2) = 9 9
(2 * (3 - 7)) = (2 * -4) = -8 = -8 (2 * -4) = -8 = -8 E�2 = -8 4 = -8 4 = -8 4 = -8 4 = -8 4 = -8 4 = -8 4
0
-29
29
(((2 - 3) * (7 * 3)) * 4) =
((-1 * (7 * 3)) * 4) = ((-1 * 21) * 4) = (-21 * 4) = -84 S = 84 (84) = 84 (84) = 84 T = 84 (84) = 84 J = 84 T = 84 J
((-1 * (7 * 3)) * 4) = ((-1 * 21) * 4) = (-1 * 4) = -6 = -6 = -6 = -6 (1 * 4) = -6 = -6 = -6 (1 * 4) = -6 = -6 (1 * 4)
-4
-5
1
(((8 * 9) + 5) - 8) =
((72 + 5) - 8) = (77 - 8) = 75 = 73 = 73 = 73 = 73 (77 - 8) = 73 = 71 = 71 (77 - 8) = 71 = 71 (71 + 71) = 202 (71 142 72 82 98)
(72 + 5) = 77 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78 = 78) = 78 = 78 = 78 = 78 = 78 = 78) = 78 = 78 = 78 = 78) = 78 = 78 = 78 = 78) = 78 = 78 = 78) = 78 = 78
-2
-14
12
(((9 * 1) - (1 - 2)) * (6 + (6 + 7))) =
(9 - (1 - 2)) * (6 + (6 + 7))) = (9 - (-1 - 2)) = (9 - -3) = 12 = 15 = 20 = 20 = 20
(9 - (1 - 2)) * (6 + (6 + 7))) = (9 - -1) = 10 = 11 = 11 = 11 = 11 = 11 = 11 (9 + -1) = 10 = 11 = 11 (1 - 10) = -9 = -11 (1 - 9) =
-54
-61
7
(((4 * 8) + (5 + 1)) - ((1 + 4) * (9 * 1))) =
((32 + (5 + 1)) - ((1 + 4) * (9 * 1))) = ((32 + 6) - ((1 + 4) * (9 * 1))) = ((32 + 6) - (5 * (9 * 1))) = ((32 + 6) - (5 * 9)) = (34 - (5 * 9))
(32 + ((5 + 1) + (9 * 1))) = (32 + (5 + (9 * 1))) = (32 + (5 + 9)) = (32 + 14) = 42 = 56 = 56 = 56 (32 + 14) = 76 = 94 (32 + 14) = 94 (
-14
-88
74
(((5 - 4) * (6 + 9)) - ((5 - 6) * 2)) =
((1 * (6 + 9)) - ((5 - 6) * 2)) = ((1 * 15) - ((5 - 6) * 2)) = ((1 * 15) - (1 * 2)) = (15 - (1 * 2)) = (15 - 2) = 13 = 13 = 13 (13) -
((1 * (6 + 9)) - ((5 - 6) * 2)) = ((1 * 15) - ((5 - 6) * 2)) = ((1 * 15) - (-1 * 2)) = (1 * 15) - (-1 * 2) = -2 = -2 = -2 = -2 = -2 = -2
-4
-15
11
(((7 + 3) + 3) - ((5 - 2) - 7)) =
((10 + 3) - ((5 - 2) - 7)) = (13 - ((5 - 2) - 7)) = (13 - (7 - 7)) = (13 - 0) = 13 = 13 = 13 = 13 = 13 = 14 = 14 = 14 (13 - 0) = 13 = 13 = 13 = 13
(10 + 3) = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = 13 = (10 + 3) = 13 = 13 = 13 = 1 (5 - 13) = -6 + -7 1 ((5 - 11) + (7 - 7)) = -6 +
-12
-56
44
(((1 + 4) + (9 * 5)) * 8) =
((5 + (9 * 5)) * 8) = ((5 + 45) * 8) = (50 * 8) = 40 = 80 = 80 = 80 = 80 = 80 ((5 + 80) * 8) = (80 * 8) = 128 = 128 = 128 (80 * 8) = 128 = 128 (
(5 + (9 * 5)) = (5 + 45) = 50 = 65 = 65 (5 + 45) = 50 = 55 (5 + 55) = 55 (5 + 55) = 55 (5 + 55) = 55 (5 through 55) = 55 50 (5
-1
-21
20
(((3 * 6) - (1 + 6)) * ((9 - 7) * 9)) =
((18 - (1 + 6)) * ((9 - 7) * 9)) = ((18 - 7) * ((9 - 7) * 9)) = (13 * (9 * 9)) = (13 * 81) = 639 = 747 = 747 for 747 = 747 (7 * 7) = 647 = 7
((18 - (1 + 6)) * ((9 - 7) * 9)) = (18 - (1 + 6)) = (18 - 7) = 11 = 7 = 7 = 7 7 7 = 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
-28
-51
23