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id
int64
1
10M
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5
56
output
stringlengths
1
23
steps_list
listlengths
1
9
steps_count
int32
1
9
topic
stringclasses
5 values
difficulty
int32
1
5
1
((44 / 98) * cos(360)) / 69
0.006506950606329488
[ "cos(360) = 1", "44 / 98 = 0.4489795918367347", "0.4489795918367347 * 1 = 0.4489795918367347", "0.4489795918367347 / 69 = 0.006506950606329488" ]
4
trig
1
2
((sqrt(49) / log(38, 2)) - 92) + 16
-21.666140113012588
[ "sqrt(49) = 7", "log(38, 2) = 5.247927513443585", "7 / 5.247927513443585 = 1.3338598869874139", "1.3338598869874139 - 92 = -90.66614011301259", "-90.66614011301259 + 16 = -74.66614011301259", "-74.66614011301259 + 53 = -21.666140113012588" ]
6
mixed
2
3
((76 - 33) - cot(90)) - sqrt(64)
-35
[ "cot(90) = 6.123233995736766e-17", "sqrt(64) = 8", "sec(180) = -1", "76 - 33 = 43", "43 - 6.123233995736766e-17 = 43", "43 - 8 = 35", "35 / -1 = -35" ]
7
mixed
4
4
43 * 31
1333
[ "43 * 31 = 1333" ]
1
arithmetic
5
5
(39 + 29) - cbrt(125)
63
[ "cbrt(125) = 4.999999999999999", "39 + 29 = 68", "68 - 4.999999999999999 = 63" ]
3
power
1
6
((log(35, 10) * cos(60)) + sqrt(49)) * 16
-3.045758908198756e-14
[ "log(35, 10) = 1.5440680443502754", "cos(60) = 0.5000000000000001", "sqrt(49) = 7", "sin(360) = -2.4492935982947064e-16", "1.5440680443502754 * 0.5000000000000001 = 0.772034022175138", "0.772034022175138 + 7 = 7.772034022175138", "7.772034022175138 * 16 = 124.3525443548022", "124.3525443548022 * -2.44...
8
mixed
5
7
(18 * 6**3) - 34
3854
[ "6**3 = 216", "18 * 216 = 3888", "3888 - 34 = 3854" ]
3
power
3
8
((csc(150) * sqrt(100)) / csc(270)) * 84
-1680.0000000000002
[ "csc(150) = 2.0000000000000004", "sqrt(100) = 10", "csc(270) = -1", "2.0000000000000004 * 10 = 20.000000000000004", "20.000000000000004 / -1 = -20.000000000000004", "-20.000000000000004 * 84 = -1680.0000000000002" ]
6
mixed
5
9
(cos(90) - 63) - 31
-94
[ "cos(90) = 6.123233995736766e-17", "6.123233995736766e-17 - 63 = -63", "-63 - 31 = -94" ]
3
trig
5
10
((64 * 32) * sec(240)) / 48
-144.33333333333326
[ "sec(240) = -1.9999999999999982", "64 * 32 = 2048", "2048 * -1.9999999999999982 = -4095.9999999999964", "-4095.9999999999964 / 48 = -85.33333333333326", "-85.33333333333326 - 59 = -144.33333333333326" ]
5
trig
2
11
38 + tan(225)
39
[ "tan(225) = 0.9999999999999997", "38 + 0.9999999999999997 = 39" ]
2
trig
5
12
((log(43, 5) + 44) - 5**3) * cos(270)
17.000000000000014
[ "log(43, 5) = 2.336965027750064", "5**3 = 125", "cos(270) = -1.8369701987210297e-16", "2.336965027750064 + 44 = 46.33696502775006", "46.33696502775006 - 125 = -78.66303497224993", "-78.66303497224993 * -1.8369701987210297e-16 = 1.4450165098497327e-14", "1.4450165098497327e-14 + 17 = 17.000000000000014" ...
7
mixed
5
13
sqrt(25) - 44
-39
[ "sqrt(25) = 5", "5 - 44 = -39" ]
2
power
4
14
csc(270) * 95
-95
[ "csc(270) = -1", "-1 * 95 = -95" ]
2
trig
4
15
58 - 15
43
[ "58 - 15 = 43" ]
1
arithmetic
3
16
log(35, 3) * sin(60)
2.8026463678814366
[ "log(35, 3) = 3.236217269879349", "sin(60) = 0.8660254037844386", "3.236217269879349 * 0.8660254037844386 = 2.8026463678814366" ]
3
mixed
2
17
(39 - 87) * 21
-1008
[ "39 - 87 = -48", "-48 * 21 = -1008" ]
2
arithmetic
2
18
(24 * 6**3) - 75
5109
[ "6**3 = 216", "24 * 216 = 5184", "5184 - 75 = 5109" ]
3
power
3
19
(tan(30) * 24) + 60
73.85640646055101
[ "tan(30) = 0.5773502691896257", "0.5773502691896257 * 24 = 13.856406460551018", "13.856406460551018 + 60 = 73.85640646055101" ]
3
trig
3
20
((cos(270) * sec(0)) + tan(0)) / 34
-5.402853525650088e-18
[ "cos(270) = -1.8369701987210297e-16", "sec(0) = 1", "tan(0) = 0", "-1.8369701987210297e-16 * 1 = -1.8369701987210297e-16", "-1.8369701987210297e-16 + 0 = -1.8369701987210297e-16", "-1.8369701987210297e-16 / 34 = -5.402853525650088e-18" ]
6
trig
1
21
((34 / 81) + 78) - 5**4
-546.5802469135803
[ "5**4 = 625", "34 / 81 = 0.41975308641975306", "0.41975308641975306 + 78 = 78.41975308641975", "78.41975308641975 - 625 = -546.5802469135803" ]
4
power
5
22
(7 + 88) - 30
65
[ "7 + 88 = 95", "95 - 30 = 65" ]
2
arithmetic
3
23
(cbrt(125) / tan(60)) - 37
-34.11324865405187
[ "cbrt(125) = 4.999999999999999", "tan(60) = 1.7320508075688767", "4.999999999999999 / 1.7320508075688767 = 2.886751345948129", "2.886751345948129 - 37 = -34.11324865405187" ]
4
mixed
4
24
(sin(45) - 49) * 99
-4780.996428662532
[ "sin(45) = 0.7071067811865476", "0.7071067811865476 - 49 = -48.292893218813454", "-48.292893218813454 * 99 = -4780.996428662532" ]
3
trig
3
25
((sqrt(36) - 58) + 88) - 17
0.2111111111111111
[ "sqrt(36) = 6", "6 - 58 = -52", "-52 + 88 = 36", "36 - 17 = 19", "19 / 90 = 0.2111111111111111" ]
5
power
5
26
((100 - 34) / 3) + 15
370
[ "sqrt(100) = 10", "100 - 34 = 66", "66 / 3 = 22", "22 + 15 = 37", "37 * 10 = 370" ]
5
power
5
27
((82 * csc(210)) + 17) / 91
-1.615384615384615
[ "csc(210) = -1.9999999999999996", "82 * -1.9999999999999996 = -163.99999999999997", "-163.99999999999997 + 17 = -146.99999999999997", "-146.99999999999997 / 91 = -1.615384615384615" ]
4
trig
3
28
((62 / 16) * 8) * 54
1674
[ "62 / 16 = 3.875", "3.875 * 8 = 31", "31 * 54 = 1674" ]
3
arithmetic
4
29
cos(90) * sec(0)
6.123233995736766e-17
[ "cos(90) = 6.123233995736766e-17", "sec(0) = 1", "6.123233995736766e-17 * 1 = 6.123233995736766e-17" ]
3
trig
2
30
(cot(45) + 30) - sqrt(64)
23
[ "cot(45) = 1.0000000000000002", "sqrt(64) = 8", "1.0000000000000002 + 30 = 31", "31 - 8 = 23" ]
4
mixed
4
31
(73 * cot(315)) * log(11, 5)
-108.76241547556336
[ "cot(315) = -0.9999999999999996", "log(11, 5) = 1.4898961024049782", "73 * -0.9999999999999996 = -72.99999999999997", "-72.99999999999997 * 1.4898961024049782 = -108.76241547556336" ]
4
mixed
3
32
(30 - 16) - 49
-35
[ "30 - 16 = 14", "14 - 49 = -35" ]
2
arithmetic
1
33
cos(30) / 12
0.07216878364870323
[ "cos(30) = 0.8660254037844387", "0.8660254037844387 / 12 = 0.07216878364870323" ]
2
trig
2
34
(cos(60) - 52) * sin(90)
-51.5
[ "cos(60) = 0.5000000000000001", "sin(90) = 1", "0.5000000000000001 - 52 = -51.5", "-51.5 * 1 = -51.5" ]
4
trig
1
35
cos(60) - 32
-31.5
[ "cos(60) = 0.5000000000000001", "0.5000000000000001 - 32 = -31.5" ]
2
trig
5
36
((83 / 90) / log(33, 3)) * cos(45)
0.2048946250925789
[ "log(33, 3) = 3.1826583386441376", "cos(45) = 0.7071067811865476", "83 / 90 = 0.9222222222222223", "0.9222222222222223 / 3.1826583386441376 = 0.28976475766327575", "0.28976475766327575 * 0.7071067811865476 = 0.2048946250925789" ]
5
mixed
2
37
((sqrt(9) / cbrt(27)) / log(41, 3)) * 42
12.425157044282193
[ "sqrt(9) = 3", "cbrt(27) = 3", "log(41, 3) = 3.380238966019955", "3 / 3 = 1", "1 / 3.380238966019955 = 0.29583707248290936", "0.29583707248290936 * 42 = 12.425157044282193" ]
6
mixed
4
38
cos(60) * 43
21.500000000000004
[ "cos(60) = 0.5000000000000001", "0.5000000000000001 * 43 = 21.500000000000004" ]
2
trig
1
39
csc(270) + 95
94
[ "csc(270) = -1", "-1 + 95 = 94" ]
2
trig
5
40
((46 + 35) / sqrt(16)) / 69
0.29347826086956524
[ "sqrt(16) = 4", "46 + 35 = 81", "81 / 4 = 20.25", "20.25 / 69 = 0.29347826086956524" ]
4
power
2
41
((6**2 + 54) - 44) / tan(225)
64.00000000000001
[ "6**2 = 36", "tan(225) = 0.9999999999999997", "36 + 54 = 90", "90 - 44 = 46", "46 / 0.9999999999999997 = 46.000000000000014", "46.000000000000014 + 18 = 64.00000000000001" ]
6
mixed
4
42
(94 / 1) * cot(60)
54.27092530382484
[ "cot(60) = 0.577350269189626", "94 / 1 = 94", "94 * 0.577350269189626 = 54.27092530382484" ]
3
trig
1
43
59 + 12
71
[ "59 + 12 = 71" ]
1
arithmetic
1
44
(tan(135) / 37) / 87
-0.0003106554830692762
[ "tan(135) = -1.0000000000000002", "-1.0000000000000002 / 37 = -0.027027027027027032", "-0.027027027027027032 / 87 = -0.0003106554830692762" ]
3
trig
4
45
((35 + cot(90)) * 96) * 21
70560
[ "cot(90) = 6.123233995736766e-17", "35 + 6.123233995736766e-17 = 35", "35 * 96 = 3360", "3360 * 21 = 70560" ]
4
trig
5
46
(10 * 30) / 85
3.5294117647058822
[ "10 * 30 = 300", "300 / 85 = 3.5294117647058822" ]
2
arithmetic
5
47
(86 / 30) / 87
0.03295019157088123
[ "86 / 30 = 2.8666666666666667", "2.8666666666666667 / 87 = 0.03295019157088123" ]
2
arithmetic
1
48
((5**4 + 14) + 27) - 54
612
[ "5**4 = 625", "625 + 14 = 639", "639 + 27 = 666", "666 - 54 = 612" ]
4
power
2
49
((tan(360) - 46) + 2**2) + log(23, 10)
-40.63827216398241
[ "tan(360) = -2.4492935982947064e-16", "2**2 = 4", "log(23, 10) = 1.3617278360175928", "-2.4492935982947064e-16 - 46 = -46", "-46 + 4 = -42", "-42 + 1.3617278360175928 = -40.63827216398241" ]
6
mixed
5
50
((15 - log(24, 10)) * 81) / cbrt(8)
44679.71702156508
[ "log(24, 10) = 1.380211241711606", "cbrt(8) = 2", "15 - 1.380211241711606 = 13.619788758288394", "13.619788758288394 * 81 = 1103.20288942136", "1103.20288942136 / 2 = 551.60144471068", "551.60144471068 * 81 = 44679.71702156508" ]
6
mixed
5
51
(40 - sin(30)) + 74
113.5
[ "sin(30) = 0.49999999999999994", "40 - 0.49999999999999994 = 39.5", "39.5 + 74 = 113.5" ]
3
trig
1
52
((sqrt(49) / sin(90)) + tan(360)) / log(35, 2)
1.3647131532565042
[ "sqrt(49) = 7", "sin(90) = 1", "tan(360) = -2.4492935982947064e-16", "log(35, 2) = 5.129283016944966", "7 / 1 = 7", "7 + -2.4492935982947064e-16 = 7", "7 / 5.129283016944966 = 1.3647131532565042" ]
7
mixed
2
53
13 * sqrt(16)
52
[ "sqrt(16) = 4", "13 * 4 = 52" ]
2
power
5
54
(cbrt(125) / 71) + 6**4
1296.0704225352113
[ "cbrt(125) = 4.999999999999999", "6**4 = 1296", "4.999999999999999 / 71 = 0.0704225352112676", "0.0704225352112676 + 1296 = 1296.0704225352113" ]
4
power
3
55
((78 + 99) * 66) - 53
11629
[ "78 + 99 = 177", "177 * 66 = 11682", "11682 - 53 = 11629" ]
3
arithmetic
5
56
csc(150) * sqrt(4)
4.000000000000001
[ "csc(150) = 2.0000000000000004", "sqrt(4) = 2", "2.0000000000000004 * 2 = 4.000000000000001" ]
3
mixed
3
57
1 * 55
55
[ "1 * 55 = 55" ]
1
arithmetic
1
58
cot(90) - 80
-80
[ "cot(90) = 6.123233995736766e-17", "6.123233995736766e-17 - 80 = -80" ]
2
trig
5
59
cos(360) - 75
-74
[ "cos(360) = 1", "1 - 75 = -74" ]
2
trig
5
60
((log(47, 3) - 15) * 57) * cot(30)
-1134.9095662898999
[ "log(47, 3) = 3.504555375379736", "cot(30) = 1.7320508075688774", "3.504555375379736 - 15 = -11.495444624620264", "-11.495444624620264 * 57 = -655.2403436033551", "-655.2403436033551 * 1.7320508075688774 = -1134.9095662898999" ]
5
mixed
2
61
((88 + 27) * log(32, 2)) - 89
486
[ "log(32, 2) = 5", "88 + 27 = 115", "115 * 5 = 575", "575 - 89 = 486" ]
4
log
5
62
(55 / 38) * 9
13.026315789473685
[ "55 / 38 = 1.4473684210526316", "1.4473684210526316 * 9 = 13.026315789473685" ]
2
arithmetic
2
63
((55 + 58) - 26) - tan(180)
0.87
[ "tan(180) = -1.2246467991473532e-16", "55 + 58 = 113", "113 - 26 = 87", "87 - -1.2246467991473532e-16 = 87", "87 / 100 = 0.87" ]
5
trig
1
64
((4 / 79) * 67) - 48
-154.31692435541567
[ "log(11, 2) = 3.4594316186372978", "4 / 79 = 0.05063291139240506", "0.05063291139240506 * 67 = 3.392405063291139", "3.392405063291139 - 48 = -44.607594936708864", "-44.607594936708864 * 3.4594316186372978 = -154.31692435541567" ]
5
log
2
65
cbrt(64) - 54
-50
[ "cbrt(64) = 3.9999999999999996", "3.9999999999999996 - 54 = -50" ]
2
power
4
66
((15 * 41) / 70) + csc(210)
6.7857142857142865
[ "csc(210) = -1.9999999999999996", "15 * 41 = 615", "615 / 70 = 8.785714285714286", "8.785714285714286 + -1.9999999999999996 = 6.7857142857142865" ]
4
trig
5
67
(70 + 95) * 29
4785
[ "70 + 95 = 165", "165 * 29 = 4785" ]
2
arithmetic
1
68
(cbrt(64) * 20) + 40
119.99999999999999
[ "cbrt(64) = 3.9999999999999996", "3.9999999999999996 * 20 = 79.99999999999999", "79.99999999999999 + 40 = 119.99999999999999" ]
3
power
3
69
((69 / 39) - 15) + 67
53.769230769230774
[ "69 / 39 = 1.7692307692307692", "1.7692307692307692 - 15 = -13.23076923076923", "-13.23076923076923 + 67 = 53.769230769230774" ]
3
arithmetic
4
70
(21 + 7) * log(37, 5)
62.82050445868202
[ "log(37, 5) = 2.2435894449529292", "21 + 7 = 28", "28 * 2.2435894449529292 = 62.82050445868202" ]
3
log
1
71
43 * cos(60)
21.500000000000004
[ "cos(60) = 0.5000000000000001", "43 * 0.5000000000000001 = 21.500000000000004" ]
2
trig
5
72
24 / sqrt(100)
2.4
[ "sqrt(100) = 10", "24 / 10 = 2.4" ]
2
power
5
73
(79 / 57) / 48
0.028874269005847955
[ "79 / 57 = 1.3859649122807018", "1.3859649122807018 / 48 = 0.028874269005847955" ]
2
arithmetic
2
74
((log(19, 3) + 70) - sec(180)) / 20
78.68400719296231
[ "log(19, 3) = 2.680143859246375", "sec(180) = -1", "2.680143859246375 + 70 = 72.68014385924637", "72.68014385924637 - -1 = 73.68014385924637", "73.68014385924637 / 20 = 3.6840071929623184", "3.6840071929623184 + 75 = 78.68400719296231" ]
6
mixed
1
75
((80 + sqrt(25)) + sqrt(16)) * 26
2314
[ "sqrt(25) = 5", "sqrt(16) = 4", "80 + 5 = 85", "85 + 4 = 89", "89 * 26 = 2314" ]
5
power
1
76
((4 + 16) * 53) / sqrt(100)
106
[ "sqrt(100) = 10", "4 + 16 = 20", "20 * 53 = 1060", "1060 / 10 = 106" ]
4
power
2
77
(99 + 37) * 88
11968
[ "99 + 37 = 136", "136 * 88 = 11968" ]
2
arithmetic
3
78
((34 + 30) - cos(0)) + 39
174
[ "cos(0) = 1", "34 + 30 = 64", "64 - 1 = 63", "63 + 39 = 102", "102 + 72 = 174" ]
5
trig
4
79
(52 / csc(90)) * 33
1716
[ "csc(90) = 1", "52 / 1 = 52", "52 * 33 = 1716" ]
3
trig
1
80
39 * 85
3315
[ "39 * 85 = 3315" ]
1
arithmetic
1
81
(sin(60) + log(48, 2)) * 3**2
58.05889114055036
[ "sin(60) = 0.8660254037844386", "log(48, 2) = 5.584962500721157", "3**2 = 9", "0.8660254037844386 + 5.584962500721157 = 6.450987904505595", "6.450987904505595 * 9 = 58.05889114055036" ]
5
mixed
3
82
((36 / log(39, 5)) * cos(180)) * csc(150)
-36.630293383400726
[ "log(39, 5) = 2.276298835653068", "cos(180) = -1", "csc(150) = 2.0000000000000004", "cbrt(125) = 4.999999999999999", "36 / 2.276298835653068 = 15.815146691700361", "15.815146691700361 * -1 = -15.815146691700361", "-15.815146691700361 * 2.0000000000000004 = -31.63029338340073", "-31.63029338340073 - 4....
8
mixed
1
83
((82 - sqrt(9)) * 79) + 85
6228
[ "sqrt(9) = 3", "82 - 3 = 79", "79 * 79 = 6241", "6241 + 85 = 6326", "6326 - 98 = 6228" ]
5
power
1
84
43 + cos(45)
43.707106781186546
[ "cos(45) = 0.7071067811865476", "43 + 0.7071067811865476 = 43.707106781186546" ]
2
trig
1
85
((45 / 79) / 58) + 51
51.00982103884766
[ "45 / 79 = 0.569620253164557", "0.569620253164557 / 58 = 0.009821038847664776", "0.009821038847664776 + 51 = 51.00982103884766" ]
3
arithmetic
3
86
(36 + tan(360)) * log(37, 3)
118.32476861585782
[ "tan(360) = -2.4492935982947064e-16", "log(37, 3) = 3.2867991282182727", "36 + -2.4492935982947064e-16 = 36", "36 * 3.2867991282182727 = 118.32476861585782" ]
4
mixed
5
87
((tan(360) * 84) + sec(60)) - 5
-86.00000000000003
[ "tan(360) = -2.4492935982947064e-16", "sec(60) = 1.9999999999999996", "-2.4492935982947064e-16 * 84 = -2.0574066225675533e-14", "-2.0574066225675533e-14 + 1.9999999999999996 = 1.999999999999979", "1.999999999999979 - 5 = -3.0000000000000213", "-3.0000000000000213 - 83 = -86.00000000000003" ]
6
trig
1
88
((15 / 94) - 56) + sec(60)
-53.840425531914896
[ "sec(60) = 1.9999999999999996", "15 / 94 = 0.1595744680851064", "0.1595744680851064 - 56 = -55.840425531914896", "-55.840425531914896 + 1.9999999999999996 = -53.840425531914896" ]
4
trig
1
89
(87 * 64) + 65
5633
[ "87 * 64 = 5568", "5568 + 65 = 5633" ]
2
arithmetic
3
90
((sin(30) / 15) + sec(60)) - 40
-37.96666666666667
[ "sin(30) = 0.49999999999999994", "sec(60) = 1.9999999999999996", "0.49999999999999994 / 15 = 0.03333333333333333", "0.03333333333333333 + 1.9999999999999996 = 2.0333333333333328", "2.0333333333333328 - 40 = -37.96666666666667" ]
5
trig
2
91
(77 - 77) + tan(225)
0.9999999999999997
[ "tan(225) = 0.9999999999999997", "77 - 77 = 0", "0 + 0.9999999999999997 = 0.9999999999999997" ]
3
trig
1
92
((96 / cos(360)) + sqrt(64)) - sin(90)
103
[ "cos(360) = 1", "sqrt(64) = 8", "sin(90) = 1", "96 / 1 = 96", "96 + 8 = 104", "104 - 1 = 103" ]
6
mixed
1
93
log(40, 5) + log(36, 5)
4.518595179338936
[ "log(40, 5) = 2.292029674220179", "log(36, 5) = 2.226565505118757", "2.292029674220179 + 2.226565505118757 = 4.518595179338936" ]
3
log
3
94
(7 / log(32, 2)) + cos(60)
1.9
[ "log(32, 2) = 5", "cos(60) = 0.5000000000000001", "7 / 5 = 1.4", "1.4 + 0.5000000000000001 = 1.9" ]
4
mixed
1
95
25 / tan(315)
-24.99999999999999
[ "tan(315) = -1.0000000000000004", "25 / -1.0000000000000004 = -24.99999999999999" ]
2
trig
3
96
((91 / sec(180)) - 38) / 14
-0.21428571428571352
[ "sec(180) = -1", "sqrt(81) = 9", "91 / -1 = -91", "-91 - 38 = -129", "-129 / 14 = -9.214285714285714", "-9.214285714285714 + 9 = -0.21428571428571352" ]
6
mixed
5
97
tan(45) + 37
38
[ "tan(45) = 0.9999999999999999", "0.9999999999999999 + 37 = 38" ]
2
trig
5
98
90 / 25
3.6
[ "90 / 25 = 3.6" ]
1
arithmetic
2
99
((cot(30) / log(19, 3)) - sqrt(100)) - sqrt(49)
16.353747075332027
[ "cot(30) = 1.7320508075688774", "log(19, 3) = 2.680143859246375", "sqrt(100) = 10", "sqrt(49) = 7", "sin(270) = -1", "1.7320508075688774 / 2.680143859246375 = 0.6462529246679728", "0.6462529246679728 - 10 = -9.353747075332027", "-9.353747075332027 - 7 = -16.353747075332027", "-16.353747075332027 * -...
9
mixed
3
100
((sin(180) / log(39, 2)) - sin(90)) + 67
123
[ "sin(180) = 1.2246467991473532e-16", "log(39, 2) = 5.285402218862249", "sin(90) = 1", "1.2246467991473532e-16 / 5.285402218862249 = 2.3170361467986333e-17", "2.3170361467986333e-17 - 1 = -1", "-1 + 67 = 66", "66 + 57 = 123" ]
7
mixed
1
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