Nemeth Tests from the PreTeXt/NFB project on Judson's Aata. Locale: nemeth, Style: Verbose.

0rs(modn)⠗⠀⠸⠇⠀⠎⠷⠍⠕⠙⠀⠝⠾
1y=xEmodn⠽⠀⠨⠅⠀⠭⠘⠠⠑⠐⠍⠕⠙⠀⠝
2|X~|=24=16⠳⠐⠠⠭⠣⠈⠱⠻⠳⠀⠨⠅⠀⠼⠆⠘⠲⠀⠨⠅⠀⠼⠂⠖
3S⠈⠰⠠⠎
4ax2+bx+c=0⠁⠭⠘⠆⠐⠬⠃⠭⠬⠉⠀⠨⠅⠀⠼⠴
5AfB⠠⠁⠀⠐⠫⠒⠒⠕⠣⠋⠻⠀⠠⠃
6g(x)=x3⠛⠷⠭⠾⠀⠨⠅⠀⠣⠒⠜⠭⠻
7TA1=TA1⠠⠞⠰⠠⠁⠘⠤⠂⠀⠨⠅⠀⠠⠞⠰⠠⠁⠰⠘⠤⠂
8kXk=X⠐⠨⠬⠩⠅⠻⠠⠭⠰⠅⠀⠨⠅⠀⠠⠭
9f(p/q)=p+1p2⠋⠷⠏⠸⠌⠟⠾⠀⠨⠅⠀⠹⠏⠬⠂⠌⠏⠤⠆⠼
10X=N{2}⠠⠭⠀⠨⠅⠀⠈⠰⠠⠝⠨⠬⠨⠷⠜⠆⠻⠨⠾
11z¯=abi⠵⠱⠀⠨⠅⠀⠁⠤⠃⠊
12Z8⠈⠰⠠⠵⠦
13C={y:Gx=yforxZ2k}⠠⠉⠀⠨⠅⠀⠨⠷⠸⠰⠽⠸⠒⠠⠛⠸⠰⠭⠀⠨⠅⠀⠸⠰⠽⠋⠕⠗⠸⠰⠭⠀⠈⠑⠀⠈⠰⠠⠵⠆⠘⠅⠐⠨⠾
142+3⠜⠆⠬⠨⠜⠒⠨⠻⠻
1523i⠜⠨⠣⠒⠜⠆⠨⠻⠤⠊⠻
16R3⠈⠰⠠⠗⠘⠒
17X~(1)=X~⠐⠠⠭⠣⠈⠱⠻⠰⠷⠂⠾⠀⠨⠅⠀⠐⠠⠭⠣⠈⠱⠻
18G0={A:(A,b)Gfor someb}⠠⠛⠴⠀⠨⠅⠀⠨⠷⠠⠁⠸⠒⠷⠠⠁⠠⠀⠃⠾⠀⠈⠑⠀⠠⠛⠋⠕⠗⠀⠎⠕⠍⠑⠃⠨⠾
19300!⠼⠒⠴⠴⠯
20A(BC)=(AB)C⠠⠁⠨⠬⠷⠠⠃⠨⠬⠠⠉⠾⠀⠨⠅⠀⠷⠠⠁⠨⠬⠠⠃⠾⠨⠬⠠⠉
21(nk)⠠⠷⠝⠠⠾⠀⠠⠷⠅⠠⠾
223+5613+8/2⠼⠒⠬⠢⠖⠤⠂⠒⠬⠦⠸⠌⠆
23w(x)=d(x,0)⠺⠷⠸⠰⠭⠾⠀⠨⠅⠀⠙⠷⠸⠰⠭⠠⠀⠸⠼⠴⠾
246.00000+0.00000i⠼⠖⠨⠴⠴⠴⠴⠴⠬⠴⠨⠴⠴⠴⠴⠴⠊
25p=0.0001⠏⠀⠨⠅⠀⠼⠴⠨⠴⠴⠴⠂
26p=0.01⠏⠀⠨⠅⠀⠼⠴⠨⠴⠂
27p=0.995⠏⠀⠨⠅⠀⠼⠴⠨⠔⠔⠢
28p=0.999⠏⠀⠨⠅⠀⠼⠴⠨⠔⠔⠔
29A=00,B=01,,Z=25⠠⠁⠀⠨⠅⠀⠼⠴⠴⠠⠀⠠⠃⠀⠨⠅⠀⠼⠴⠂⠠⠀⠄⠄⠄⠠⠀⠠⠵⠀⠨⠅⠀⠼⠆⠢
30(000)⠷⠴⠴⠴⠾
310000⠼⠴⠴⠴⠴
32c1=(00000)⠸⠰⠉⠂⠀⠨⠅⠀⠷⠴⠴⠴⠴⠴⠾
33(00001)+C⠷⠴⠴⠴⠴⠂⠾⠬⠠⠉
34(0000101100)⠷⠴⠴⠴⠴⠂⠴⠂⠂⠴⠴⠾
35(00010)+C⠷⠴⠴⠴⠂⠴⠾⠬⠠⠉
36z=(00011)⠸⠰⠵⠀⠨⠅⠀⠷⠴⠴⠴⠂⠂⠾
37001⠼⠴⠴⠂
38(00100)+C⠷⠴⠴⠂⠴⠴⠾⠬⠠⠉
39(0010000101)⠷⠴⠴⠂⠴⠴⠴⠴⠂⠴⠂⠾
40(001001)⠷⠴⠴⠂⠴⠴⠂⠾
41(01000)(00101)(11011)(10110)⠷⠴⠂⠴⠴⠴⠾⠷⠴⠴⠂⠴⠂⠾⠷⠂⠂⠴⠂⠂⠾⠷⠂⠴⠂⠂⠴⠾
420011⠼⠴⠴⠂⠂
43(00110)+C⠷⠴⠴⠂⠂⠴⠾⠬⠠⠉
44c2=(00111)⠸⠰⠉⠆⠀⠨⠅⠀⠷⠴⠴⠂⠂⠂⠾
45010⠼⠴⠂⠴
46(01000101)⠷⠼⠴⠂⠴⠴⠀⠼⠴⠂⠴⠂⠾
47(01000)+C⠷⠴⠂⠴⠴⠴⠾⠬⠠⠉
48(00100)(01001)(10111)(11010)⠷⠴⠴⠂⠴⠴⠾⠷⠴⠂⠴⠴⠂⠾⠷⠂⠴⠂⠂⠂⠾⠷⠂⠂⠴⠂⠴⠾
49x=(010011)t⠸⠰⠭⠀⠨⠅⠀⠷⠴⠂⠴⠴⠂⠂⠾⠘⠞
50(00111)(01010)(10100)(11001)⠷⠴⠴⠂⠂⠂⠾⠷⠴⠂⠴⠂⠴⠾⠷⠂⠴⠂⠴⠴⠾⠷⠂⠂⠴⠴⠂⠾
51(011100)(011011)(111011)(100011)(000000)(010101)(110100)(110011)⠷⠴⠂⠂⠂⠴⠴⠾⠷⠴⠂⠂⠴⠂⠂⠾⠷⠂⠂⠂⠴⠂⠂⠾⠷⠂⠴⠴⠴⠂⠂⠾⠷⠴⠴⠴⠴⠴⠴⠾⠷⠴⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠂⠴⠴⠾⠷⠂⠂⠴⠴⠂⠂⠾
52(11110101),(01010100)⠷⠂⠂⠂⠂⠴⠂⠴⠂⠾⠠⠀⠷⠴⠂⠴⠂⠴⠂⠴⠴⠾
53z=(010111)t⠸⠰⠵⠀⠨⠅⠀⠷⠴⠂⠴⠂⠂⠂⠾⠘⠞
54011⠼⠴⠂⠂
55(0110)⠷⠴⠂⠂⠴⠾
56(00001)(01100)(10010)(11111)⠷⠴⠴⠴⠴⠂⠾⠷⠴⠂⠂⠴⠴⠾⠷⠂⠴⠴⠂⠴⠾⠷⠂⠂⠂⠂⠂⠾
57x=(011001)t⠸⠰⠭⠀⠨⠅⠀⠷⠴⠂⠂⠴⠴⠂⠾⠘⠞
58(011010),(011100)⠷⠴⠂⠂⠴⠂⠴⠾⠠⠀⠷⠴⠂⠂⠂⠴⠴⠾
59(0110110)(0111100)(1110000)(1111111)(1001001)(1000011)(0001111)(0000000)⠷⠴⠂⠂⠴⠂⠂⠴⠾⠷⠴⠂⠂⠂⠂⠴⠴⠾⠷⠂⠂⠂⠴⠴⠴⠴⠾⠷⠂⠂⠂⠂⠂⠂⠂⠾⠷⠂⠴⠴⠂⠴⠴⠂⠾⠷⠂⠴⠴⠴⠴⠂⠂⠾⠷⠴⠴⠴⠂⠂⠂⠂⠾⠷⠴⠴⠴⠴⠴⠴⠴⠾
60(1001),(0111)⠷⠂⠴⠴⠂⠾⠠⠀⠷⠴⠂⠂⠂⠾
61(10000)(11101)(00011)(01110)⠷⠂⠴⠴⠴⠴⠾⠷⠂⠂⠂⠴⠂⠾⠷⠴⠴⠴⠂⠂⠾⠷⠴⠂⠂⠂⠴⠾
62(00010)(01111)(10001)(11100)⠷⠴⠴⠴⠂⠴⠾⠷⠴⠂⠂⠂⠂⠾⠷⠂⠴⠴⠴⠂⠾⠷⠂⠂⠂⠴⠴⠾
63A=00,B=02,,Z=25⠠⠁⠀⠨⠅⠀⠼⠴⠴⠠⠀⠠⠃⠀⠨⠅⠀⠼⠴⠆⠠⠀⠄⠄⠄⠠⠀⠠⠵⠀⠨⠅⠀⠼⠆⠢
64c=4598037234⠉⠀⠨⠅⠀⠼⠲⠀⠢⠔⠦⠀⠴⠒⠶⠀⠆⠒⠲
65E=04⠠⠑⠀⠨⠅⠀⠼⠴⠲
6610/5=2⠼⠂⠴⠸⠌⠢⠀⠨⠅⠀⠼⠆
67(1254)100⠷⠂⠆⠢⠲⠾⠘⠂⠴⠴
681000⠼⠂⠴⠴⠴
69(10000)+C⠷⠂⠴⠴⠴⠴⠾⠬⠠⠉
70(10011000)⠷⠼⠂⠴⠴⠂⠀⠼⠂⠴⠴⠴⠾
71(101)⠷⠂⠴⠂⠾
72y=(1010)⠸⠰⠽⠀⠨⠅⠀⠷⠂⠴⠂⠴⠾
73(10100)+C⠷⠂⠴⠂⠴⠴⠾⠬⠠⠉
74x=(10101)⠸⠰⠭⠀⠨⠅⠀⠷⠂⠴⠂⠴⠂⠾
75(101011)⠷⠂⠴⠂⠴⠂⠂⠾
76(1011)⠷⠂⠴⠂⠂⠾
77(000000),(010111),(101101),(111010)⠷⠴⠴⠴⠴⠴⠴⠾⠠⠀⠷⠴⠂⠴⠂⠂⠂⠾⠠⠀⠷⠂⠴⠂⠂⠴⠂⠾⠠⠀⠷⠂⠂⠂⠴⠂⠴⠾
78gcd(120,102)=6⠛⠉⠙⠀⠷⠂⠆⠴⠠⠀⠂⠴⠆⠾⠀⠨⠅⠀⠼⠖
79108⠼⠂⠴⠦
80110⠼⠂⠂⠴
81y=(1100)⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠴⠾
82(00110)(01011)(10101)(11000)⠷⠴⠴⠂⠂⠴⠾⠷⠴⠂⠴⠂⠂⠾⠷⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠴⠴⠾
83(011010)(011100)(110111)(110000)⠷⠴⠂⠂⠴⠂⠴⠾⠷⠴⠂⠂⠂⠴⠴⠾⠷⠂⠂⠴⠂⠂⠂⠾⠷⠂⠂⠴⠴⠴⠴⠾
84(000000)(011100)(110101)(110001)⠷⠴⠴⠴⠴⠴⠴⠾⠷⠴⠂⠂⠂⠴⠴⠾⠷⠂⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠴⠴⠂⠾
85x=(1101)⠸⠰⠭⠀⠨⠅⠀⠷⠂⠂⠴⠂⠾
86y=(11010)⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠂⠴⠾
87y=(110101)t⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠂⠴⠂⠾⠘⠞
88c4=(11011)⠸⠰⠉⠲⠀⠨⠅⠀⠷⠂⠂⠴⠂⠂⠾
89(110110)⠷⠂⠂⠴⠂⠂⠴⠾
90(111)⠷⠂⠂⠂⠾
91(011011100110)⠷⠼⠴⠂⠂⠴⠀⠼⠂⠂⠂⠴⠀⠼⠴⠂⠂⠴⠾
92c3=(11100)⠸⠰⠉⠒⠀⠨⠅⠀⠷⠂⠂⠂⠴⠴⠾
931111⠼⠂⠂⠂⠂
94x=(111110)t⠸⠰⠭⠀⠨⠅⠀⠷⠂⠂⠂⠂⠂⠴⠾⠘⠞
95y=(111111)t⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠂⠂⠂⠂⠾⠘⠞
9611213525032442⠼⠂⠂⠆⠂⠒⠢⠆⠢⠴⠒⠆⠲⠲⠆
9776=117649⠼⠶⠘⠖⠀⠨⠅⠀⠼⠂⠂⠶⠀⠖⠲⠔
98gcd(24,36)=12⠛⠉⠙⠀⠷⠆⠲⠠⠀⠒⠖⠾⠀⠨⠅⠀⠼⠂⠆
99n=120979,E=13251,x=142371⠝⠀⠨⠅⠀⠼⠂⠆⠴⠔⠶⠔⠠⠀⠠⠑⠀⠨⠅⠀⠼⠂⠒⠆⠢⠂⠠⠀⠭⠀⠨⠅⠀⠼⠂⠲⠆⠒⠶⠂
100(12345)(678)⠷⠂⠆⠒⠲⠢⠾⠷⠖⠶⠦⠾
101[(1235)(467)]1⠈⠷⠷⠂⠆⠒⠢⠾⠷⠲⠖⠶⠾⠈⠾⠘⠤⠂
102(n,E)=(37986733,12371)⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠒⠶⠔⠦⠖⠶⠒⠒⠠⠀⠂⠆⠒⠶⠂⠾
103(12453)⠷⠂⠆⠲⠢⠒⠾
104(12)(1253)⠷⠂⠆⠾⠷⠂⠆⠢⠒⠾
105(12537)1⠷⠂⠆⠢⠒⠶⠾⠘⠤⠂
106(1254)(13)(25)⠷⠂⠆⠢⠲⠾⠷⠂⠒⠾⠷⠆⠢⠾
1071260⠼⠂⠆⠖⠴
1081284=268,435,456⠼⠂⠆⠦⠘⠲⠀⠨⠅⠀⠼⠆⠖⠦⠠⠀⠼⠲⠒⠢⠠⠀⠼⠲⠢⠖
109n=79403,D=671,y=129381⠝⠀⠨⠅⠀⠼⠶⠔⠲⠴⠒⠠⠀⠠⠙⠀⠨⠅⠀⠼⠖⠶⠂⠠⠀⠽⠀⠨⠅⠀⠼⠂⠆⠔⠒⠦⠂
110(1423)(34)(56)(1324)⠷⠂⠲⠆⠒⠾⠷⠒⠲⠾⠷⠢⠖⠾⠷⠂⠒⠆⠲⠾
111{(13),(13)(24),(132),(134),(1324),(1342)}⠨⠷⠷⠂⠒⠾⠠⠀⠷⠂⠒⠾⠷⠆⠲⠾⠠⠀⠷⠂⠒⠆⠾⠠⠀⠷⠂⠒⠲⠾⠠⠀⠷⠂⠒⠆⠲⠾⠠⠀⠷⠂⠒⠲⠆⠾⠨⠾
112(1345)(234)⠷⠂⠒⠲⠢⠾⠷⠆⠒⠲⠾
11314⠼⠂⠲
114x=142528⠭⠀⠨⠅⠀⠼⠂⠲⠆⠢⠆⠦
115(1426)(142)⠷⠂⠲⠆⠖⠾⠷⠂⠲⠆⠾
116(142637)⠷⠂⠲⠆⠖⠒⠶⠾
117(14356)⠷⠂⠲⠒⠢⠖⠾
118191E=1+151m⠼⠂⠔⠂⠠⠑⠀⠨⠅⠀⠼⠂⠬⠂⠢⠂⠍
1191523⠼⠂⠢⠆⠒
1201531⠼⠂⠢⠒⠂
121(17254)(1423)(154632)⠷⠂⠶⠆⠢⠲⠾⠷⠂⠲⠆⠒⠾⠷⠂⠢⠲⠖⠒⠆⠾
122(156)(234)⠷⠂⠢⠖⠾⠷⠆⠒⠲⠾
123s=16⠎⠀⠨⠅⠀⠤⠼⠂⠖
12416⠸⠼⠂⠖
125160⠼⠂⠖⠴
126μ=(1634)⠨⠍⠀⠨⠅⠀⠷⠂⠖⠒⠲⠾
127(n,E)=(16394854313,34578451)⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠂⠖⠒⠔⠲⠦⠢⠲⠒⠂⠒⠠⠀⠒⠲⠢⠶⠦⠲⠢⠂⠾
1285747=1645⠼⠢⠡⠶⠡⠲⠶⠀⠨⠅⠀⠼⠂⠖⠲⠢
129165⠼⠂⠖⠢
130168⠼⠂⠖⠦
1314117(mod8)⠼⠲⠂⠀⠸⠇⠀⠼⠂⠶⠷⠍⠕⠙⠀⠼⠦⠾
132(17352)⠷⠂⠶⠒⠢⠆⠾
1331739⠼⠂⠶⠒⠔
134175⠼⠂⠶⠢
135180⠼⠂⠦⠴⠘⠨⠡
13619⠼⠂⠔
137(n,E)=(3053,1921)⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠒⠴⠢⠒⠠⠀⠂⠔⠆⠂⠾
138196,833×196,833⠼⠂⠔⠖⠠⠦⠒⠒⠈⠡⠂⠔⠖⠠⠦⠒⠒
13919945⠼⠂⠔⠔⠲⠢
140n=3551,D=1997,y=2791⠝⠀⠨⠅⠀⠼⠒⠢⠢⠂⠠⠀⠠⠙⠀⠨⠅⠀⠼⠂⠔⠔⠶⠠⠀⠽⠀⠨⠅⠀⠼⠆⠶⠔⠂
141200⠼⠆⠴⠴
1422000⠼⠆⠴⠴⠴
14320719521(mod4724)⠼⠆⠴⠶⠂⠘⠔⠢⠆⠂⠐⠷⠍⠕⠙⠀⠼⠲⠶⠆⠲⠾
1442134⠼⠆⠂⠒⠲
145x214(mod2772)⠭⠀⠸⠇⠀⠼⠆⠂⠲⠷⠍⠕⠙⠀⠼⠆⠶⠶⠆⠾
1462234+4121⠼⠆⠆⠒⠲⠬⠲⠂⠆⠂
147n=2257,E=47,x=23⠝⠀⠨⠅⠀⠼⠆⠆⠢⠶⠠⠀⠠⠑⠀⠨⠅⠀⠼⠲⠶⠠⠀⠭⠀⠨⠅⠀⠼⠆⠒
148(n,E)=(451,231)⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠲⠢⠂⠠⠀⠆⠒⠂⠾
149n=45629,E=781,x=231561⠝⠀⠨⠅⠀⠼⠲⠢⠖⠆⠔⠠⠀⠠⠑⠀⠨⠅⠀⠼⠶⠦⠂⠠⠀⠭⠀⠨⠅⠀⠼⠆⠒⠂⠢⠖⠂
150234⠼⠆⠒⠲
15123771⠼⠆⠒⠶⠶⠂
1524117=24⠼⠲⠂⠤⠂⠶⠀⠨⠅⠀⠼⠆⠲
15372Z240⠼⠶⠆⠀⠈⠑⠀⠈⠰⠠⠵⠆⠲⠴
1542415⠼⠆⠲⠂⠢
155N=250⠠⠝⠀⠨⠅⠀⠼⠆⠢⠴
156255⠼⠆⠢⠢
1572557341(mod5681)⠼⠆⠢⠢⠶⠘⠒⠲⠂⠐⠷⠍⠕⠙⠀⠼⠢⠖⠦⠂⠾
15828=256⠼⠆⠘⠦⠀⠨⠅⠀⠼⠆⠢⠖
1595x+113(mod26)⠼⠢⠭⠬⠂⠀⠸⠇⠀⠼⠂⠒⠷⠍⠕⠙⠀⠼⠆⠖⠾
1602600=23×52×13⠼⠆⠖⠴⠴⠀⠨⠅⠀⠼⠆⠘⠒⠐⠈⠡⠢⠘⠆⠐⠈⠡⠂⠒
161Z27⠈⠰⠠⠵⠆⠶
162271321(mod481)⠼⠆⠶⠂⠘⠒⠆⠂⠐⠷⠍⠕⠙⠀⠼⠲⠦⠂⠾
163n=120979,D=27331,y=112135⠝⠀⠨⠅⠀⠼⠂⠆⠴⠔⠶⠔⠠⠀⠠⠙⠀⠨⠅⠀⠼⠆⠶⠒⠒⠂⠠⠀⠽⠀⠨⠅⠀⠼⠂⠂⠆⠂⠒⠢
1642791⠼⠆⠶⠔⠂
16528⠼⠆⠦
166q=29⠟⠀⠨⠅⠀⠼⠆⠔
1672923171(mod582)⠼⠆⠔⠆⠘⠒⠂⠶⠂⠐⠷⠍⠕⠙⠀⠼⠢⠦⠆⠾
16821341531=3,267,154⠼⠆⠂⠒⠲⠡⠂⠢⠒⠂⠀⠨⠅⠀⠼⠒⠠⠆⠖⠶⠠⠂⠢⠲
169U(30)⠠⠥⠷⠒⠴⠾
170n=3551,E=629,x=31⠝⠀⠨⠅⠀⠼⠒⠢⠢⠂⠠⠀⠠⠑⠀⠨⠅⠀⠼⠖⠆⠔⠠⠀⠭⠀⠨⠅⠀⠼⠒⠂
171312Z471⠼⠒⠂⠆⠀⠈⠑⠀⠈⠰⠠⠵⠲⠶⠂
172342⠼⠒⠲⠆
173G={(1),(12),(345),(354),(12)(345),(12)(354)}⠠⠛⠀⠨⠅⠀⠨⠷⠷⠂⠾⠠⠀⠷⠂⠆⠾⠠⠀⠷⠒⠲⠢⠾⠠⠀⠷⠒⠢⠲⠾⠠⠀⠷⠂⠆⠾⠷⠒⠲⠢⠾⠠⠀⠷⠂⠆⠾⠷⠒⠢⠲⠾⠨⠾
17444352000⠼⠲⠲⠀⠒⠢⠆⠀⠴⠴⠴
175360⠼⠒⠖⠴⠘⠨⠡
17637⠼⠒⠶
1773754⠼⠒⠶⠢⠲
17838⠼⠒⠦
17939⠼⠒⠔
180391=1723⠼⠒⠔⠂⠀⠨⠅⠀⠼⠂⠶⠡⠆⠒
181x=4⠭⠀⠨⠅⠀⠼⠲
18240⠼⠲⠴
18342⠼⠲⠆
1844318i⠼⠲⠒⠤⠂⠦⠊
185n=87794327⠝⠀⠨⠅⠀⠼⠦⠶⠶⠔⠡⠲⠒⠆⠶
1864357⠤⠼⠲⠒⠢⠶
18744⠼⠲⠲
18846⠼⠲⠖
18946,388⠼⠲⠖⠠⠒⠦⠦
190D470448⠠⠙⠲⠶⠴⠲⠲⠦
191471⠼⠲⠶⠂
192Z48⠈⠰⠠⠵⠲⠦
193E=487⠠⠑⠀⠨⠅⠀⠼⠲⠦⠶
194U(49)⠠⠥⠷⠲⠔⠾
1952+3=5⠼⠆⠬⠒⠀⠨⠅⠀⠼⠢
196500⠼⠢⠴⠴
1977!=5040⠼⠶⠯⠀⠀⠨⠅⠀⠼⠢⠴⠲⠴
19851⠼⠢⠂
19925111⠼⠆⠘⠢⠂⠂⠐⠤⠂
20052⠼⠢⠆
20153⠼⠢⠒
20254⠼⠢⠲
203540=22335⠼⠢⠲⠴⠀⠨⠅⠀⠼⠆⠘⠆⠐⠡⠒⠘⠒⠐⠡⠢
204561⠼⠢⠖⠂
205562⠼⠢⠖⠆
20657=20+23+24+25⠼⠢⠶⠀⠨⠅⠀⠼⠆⠘⠴⠐⠬⠆⠘⠒⠐⠬⠆⠘⠲⠐⠬⠆⠘⠢
20758⠼⠢⠦
208n=5893,D=81,y=34⠝⠀⠨⠅⠀⠼⠢⠦⠔⠒⠠⠀⠠⠙⠀⠨⠅⠀⠼⠦⠂⠠⠀⠽⠀⠨⠅⠀⠼⠒⠲
20959⠼⠢⠔
2102x=6⠼⠆⠭⠀⠨⠅⠀⠼⠖
2116.00000⠼⠖⠨⠴⠴⠴⠴⠴
212(1,2,4,8)(3,6.12,9)(5,10)(7,14,13,11)⠷⠂⠠⠀⠆⠠⠀⠲⠠⠀⠦⠾⠷⠒⠠⠀⠖⠨⠂⠆⠠⠀⠔⠾⠷⠢⠠⠀⠂⠴⠾⠷⠶⠠⠀⠂⠲⠠⠀⠂⠒⠠⠀⠂⠂⠾
213z=2cis60⠵⠀⠨⠅⠀⠼⠆⠉⠊⠎⠀⠼⠖⠴⠘⠨⠡
214x4(2/3)x262/9⠭⠘⠲⠐⠤⠷⠆⠸⠌⠒⠾⠭⠘⠆⠐⠤⠖⠆⠸⠌⠔
215[GF(625):GF(25)]⠈⠷⠠⠠⠛⠋⠷⠖⠆⠢⠾⠀⠐⠂⠀⠠⠠⠛⠋⠷⠆⠢⠾⠈⠾
216631⠼⠖⠒⠂
21764⠼⠖⠲
218224=65,536⠼⠆⠘⠆⠘⠘⠲⠀⠨⠅⠀⠼⠖⠢⠠⠢⠒⠖
21966⠼⠖⠖
220720⠼⠶⠆⠴
221729⠼⠶⠆⠔
222971321(mod765)⠼⠔⠶⠂⠘⠒⠆⠂⠐⠷⠍⠕⠙⠀⠼⠶⠖⠢⠾
223771⠼⠶⠶⠂
224Z10×Z24×Z80⠈⠰⠠⠵⠂⠴⠈⠡⠈⠰⠠⠵⠆⠲⠈⠡⠈⠰⠠⠵⠦⠴
22575=16807⠼⠶⠘⠢⠀⠨⠅⠀⠼⠂⠖⠀⠦⠴⠶
226811⠼⠦⠂⠂
22795979899=89,403,930⠼⠔⠢⠡⠔⠶⠡⠔⠦⠡⠔⠔⠀⠨⠅⠀⠼⠦⠔⠠⠲⠴⠒⠠⠔⠒⠴
22890⠼⠔⠴⠘⠨⠡
229945⠼⠔⠲⠢
23095⠼⠔⠢
23196⠼⠔⠖
23297⠼⠔⠶
23398⠼⠔⠦
23499⠼⠔⠔
2359923⠼⠔⠔⠆⠒
236aA⠁⠀⠈⠑⠀⠠⠁
237Aut(G)⠠⠁⠥⠞⠷⠠⠛⠾
238AB⠠⠁⠀⠸⠐⠅⠀⠠⠃
239h:CD⠓⠸⠒⠀⠠⠉⠀⠫⠕⠀⠠⠙
240G×GG⠠⠛⠈⠡⠠⠛⠀⠫⠕⠀⠠⠛
241GF(pn)⠠⠠⠛⠋⠷⠏⠘⠝⠐⠾
242H={e}⠠⠓⠀⠨⠅⠀⠨⠷⠑⠨⠾
243H⠈⠰⠠⠓
244Hom(V,W)⠠⠓⠕⠍⠷⠠⠧⠠⠀⠠⠺⠾
245Inn(G)⠠⠊⠝⠝⠷⠠⠛⠾
246GL2(R)⠠⠛⠠⠇⠆⠷⠈⠰⠠⠗⠾
247ϕ:LHRH⠨⠋⠸⠒⠀⠈⠰⠠⠇⠰⠠⠓⠀⠫⠕⠀⠈⠰⠠⠗⠰⠠⠓
248M2(R)⠈⠰⠠⠍⠆⠷⠈⠰⠠⠗⠾
249R/M⠠⠗⠸⠌⠠⠍
2501<n<N⠼⠂⠀⠐⠅⠀⠝⠀⠐⠅⠀⠠⠝
251Null(H)⠠⠝⠥⠇⠇⠷⠠⠓⠾
252O(n)⠠⠕⠷⠝⠾
253PAP1=B⠠⠏⠠⠁⠠⠏⠘⠤⠂⠀⠨⠅⠀⠠⠃
254P(R)⠈⠰⠠⠏⠷⠈⠰⠠⠗⠾
255QBQ1=C⠠⠟⠠⠃⠠⠟⠘⠤⠂⠀⠨⠅⠀⠠⠉
256RX×X⠠⠗⠀⠸⠐⠅⠀⠠⠭⠈⠡⠠⠭
257S={1,2,3}⠠⠎⠀⠨⠅⠀⠨⠷⠂⠠⠀⠆⠠⠀⠒⠨⠾
258S=18⠠⠎⠀⠨⠅⠀⠼⠂⠦
259TA:R2R2⠠⠞⠰⠠⠁⠸⠒⠀⠈⠰⠠⠗⠘⠆⠀⠫⠕⠀⠈⠰⠠⠗⠘⠆
260T={zC:|z|=1}⠈⠰⠠⠞⠀⠨⠅⠀⠨⠷⠵⠀⠈⠑⠀⠈⠰⠠⠉⠘⠈⠼⠸⠒⠳⠵⠳⠀⠨⠅⠀⠼⠂⠨⠾
261AU⠠⠁⠀⠸⠐⠅⠀⠠⠥
262vV⠧⠀⠈⠑⠀⠠⠧
263Y={B,W}⠠⠽⠀⠨⠅⠀⠨⠷⠠⠃⠠⠀⠠⠺⠨⠾
264f:XY⠋⠸⠒⠀⠠⠭⠀⠫⠕⠀⠠⠽
265Mm×n(Z2)⠈⠰⠠⠍⠰⠍⠈⠡⠝⠐⠷⠸⠰⠠⠵⠆⠾
266[x]={yX:yx}⠈⠷⠭⠈⠾⠀⠨⠅⠀⠨⠷⠽⠀⠈⠑⠀⠠⠭⠸⠒⠽⠀⠈⠱⠀⠭⠨⠾
267F[x]⠠⠋⠈⠷⠭⠈⠾
268charR⠉⠓⠁⠗⠀⠠⠗
269rcisθ⠗⠉⠊⠎⠀⠨⠹
270αβ=id⠨⠁⠨⠃⠀⠨⠅⠀⠊⠙
271degf(x)=n⠙⠑⠛⠀⠋⠷⠭⠾⠀⠨⠅⠀⠝
272detA=adbc0⠙⠑⠞⠀⠠⠁⠀⠨⠅⠀⠁⠙⠤⠃⠉⠀⠌⠨⠅⠀⠼⠴
273dimV=n⠙⠊⠍⠀⠠⠧⠀⠨⠅⠀⠝
274f1(x)=ex⠋⠘⠤⠂⠐⠷⠭⠾⠀⠨⠅⠀⠑⠘⠭
275fA×B⠋⠀⠸⠐⠅⠀⠠⠁⠈⠡⠠⠃
276g(1)=a⠛⠷⠂⠾⠀⠨⠅⠀⠁
277d=gcd(a,b)⠙⠀⠨⠅⠀⠛⠉⠙⠀⠷⠁⠠⠀⠃⠾
278XiXj=⠠⠭⠰⠊⠐⠨⠩⠠⠭⠰⠚⠀⠨⠅⠀⠸⠴
279kerϕ⠅⠑⠗⠀⠨⠋
280st=ln⠎⠤⠞⠀⠨⠅⠀⠇⠝
281lcm(a,b)⠇⠉⠍⠀⠷⠁⠠⠀⠃⠾
282limnfn/fn+1=(51)/2⠐⠇⠊⠍⠩⠝⠀⠫⠕⠀⠠⠿⠻⠀⠋⠰⠝⠐⠸⠌⠋⠰⠝⠬⠂⠀⠨⠅⠀⠷⠜⠢⠻⠤⠂⠾⠸⠌⠆
283f(x)=lnx⠋⠷⠭⠾⠀⠨⠅⠀⠇⠝⠀⠭
284Rm⠈⠰⠠⠗⠘⠍
285deg(p(x)+q(x))max(degp(x),degq(x))⠙⠑⠛⠀⠷⠏⠷⠭⠾⠬⠟⠷⠭⠾⠾⠀⠐⠅⠱⠀⠍⠁⠭⠀⠷⠙⠑⠛⠀⠏⠷⠭⠾⠠⠀⠙⠑⠛⠀⠟⠷⠭⠾⠾
286dmin⠙⠰⠍⠊⠝
287r=s⠗⠀⠨⠅⠀⠎
288r⠸⠰⠗
289f(x)=sinx⠋⠷⠭⠾⠀⠨⠅⠀⠎⠊⠝⠀⠭
290r/st/u⠗⠸⠌⠎⠀⠈⠱⠀⠞⠸⠌⠥
291b=(2,2)t⠸⠰⠃⠀⠨⠅⠀⠷⠆⠠⠀⠆⠾⠘⠞
292vR2⠧⠀⠈⠑⠀⠈⠰⠠⠗⠘⠆
293w⠸⠰⠺
294x=(x1,,xn)⠸⠰⠭⠀⠨⠅⠀⠷⠭⠂⠠⠀⠄⠄⠄⠠⠀⠭⠰⠝⠐⠾
295A={x,y}⠠⠁⠀⠨⠅⠀⠨⠷⠭⠠⠀⠽⠨⠾
296y=(y1,,yn)⠸⠰⠽⠀⠨⠅⠀⠷⠽⠂⠠⠀⠄⠄⠄⠠⠀⠽⠰⠝⠐⠾
297|xy|4⠳⠭⠤⠽⠳⠀⠐⠅⠱⠀⠼⠲
298σ~⠐⠨⠎⠣⠈⠱⠻
299A×B⠠⠁⠈⠡⠠⠃
300Δ=b24ac⠨⠠⠙⠀⠨⠅⠀⠃⠘⠆⠐⠤⠲⠁⠉
301α⠨⠁
302β⠨⠃
303ar,as=δrs⠨⠨⠷⠸⠰⠁⠰⠗⠠⠀⠸⠰⠁⠰⠎⠐⠨⠨⠾⠀⠨⠅⠀⠨⠙⠰⠗⠎
304η:G/Kψ(G)⠨⠱⠸⠒⠀⠠⠛⠸⠌⠠⠅⠀⠫⠕⠀⠨⠽⠷⠠⠛⠾
305λ⠨⠇
306μ1ρ1⠨⠍⠂⠨⠗⠂
307ν:Z[3i]N{0}⠨⠝⠸⠒⠀⠈⠰⠠⠵⠈⠷⠜⠒⠻⠊⠈⠾⠀⠫⠕⠀⠈⠰⠠⠝⠨⠬⠨⠷⠴⠨⠾
308π:SS⠨⠏⠸⠒⠀⠠⠎⠀⠫⠕⠀⠠⠎
309ψ⠨⠽
310w=scisϕ⠺⠀⠨⠅⠀⠎⠉⠊⠎⠀⠨⠋
311A⠠⠁⠄
312g⠛⠄⠄
313⠈⠰⠇
314f:AB⠋⠸⠒⠀⠠⠁⠀⠫⠕⠀⠠⠃
315f:ab⠋⠸⠒⠀⠁⠀⠫⠳⠒⠒⠕⠀⠃
316()⠷⠫⠪⠶⠶⠾
317⠸⠴
3183E⠤⠼⠒⠀⠌⠈⠑⠀⠠⠑
319C⠈⠰⠠⠉⠘⠈⠼
320(gf)(x)=g(f(x))⠷⠛⠨⠡⠋⠾⠷⠭⠾⠀⠨⠅⠀⠛⠷⠋⠷⠭⠾⠾
321ab⠁⠳⠃
322pa⠏⠌⠳⠁
323ab⠁⠈⠩⠃
324ab⠁⠈⠬⠃
325AB⠠⠁⠨⠬⠠⠃
326xy⠭⠀⠈⠱⠀⠽
327⠈⠱⠨⠅
328a0⠁⠀⠌⠨⠅⠀⠼⠴
329⠸⠇
330q1(modp)⠟⠀⠌⠸⠇⠀⠼⠂⠷⠍⠕⠙⠀⠏⠾
331xy⠭⠀⠨⠂⠱⠀⠽
332BA⠠⠃⠀⠸⠨⠂⠀⠠⠁
333AB⠠⠁⠀⠌⠸⠐⠅⠀⠠⠃
334W=UV⠠⠺⠀⠨⠅⠀⠠⠥⠫⠉⠸⠫⠬⠻⠠⠧
33524⠼⠆⠡⠲
336Z3Z4⠠⠵⠒⠈⠡⠳⠠⠵⠲
337ABC⠫⠞⠀⠠⠁⠠⠃⠠⠉
338ab⠁⠀⠨⠐⠅⠱⠀⠃
339⠨⠨⠂⠱