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

 0 $r\equiv s\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}n\right)$ ⠗⠀⠸⠇⠀⠎⠷⠍⠕⠙⠀⠝⠾ 1 $y={x}^{E}\phantom{\rule{0.667em}{0ex}}\mathrm{mod}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}n$ ⠽⠀⠨⠅⠀⠭⠘⠠⠑⠐⠍⠕⠙⠀⠝ 2 $|\stackrel{~}{X}|={2}^{4}=\text{}16$ ⠳⠐⠠⠭⠣⠈⠱⠻⠳⠀⠨⠅⠀⠼⠆⠘⠲⠀⠨⠅⠀⠼⠂⠖ 3 $\mathcal{S}$ ⠈⠰⠠⠎ 4 $a{x}^{2}+bx+c=0$ ⠁⠭⠘⠆⠐⠬⠃⠭⠬⠉⠀⠨⠅⠀⠼⠴ 5 $A\stackrel{f}{\to }B$ ⠠⠁⠀⠐⠫⠒⠒⠕⠣⠋⠻⠀⠠⠃ 6 $g\left(x\right)=\sqrt[3]{x}$ ⠛⠷⠭⠾⠀⠨⠅⠀⠣⠒⠜⠭⠻ 7 ${T}_{A}^{-1}={T}_{{A}^{-1}}$ ⠠⠞⠰⠠⠁⠘⠤⠂⠀⠨⠅⠀⠠⠞⠰⠠⠁⠰⠘⠤⠂ 8 $\bigcup _{k}{X}_{k}=X$ ⠐⠨⠬⠩⠅⠻⠠⠭⠰⠅⠀⠨⠅⠀⠠⠭ 9 $f\left(p/q\right)=\frac{p+1}{p-2}$ ⠋⠷⠏⠸⠌⠟⠾⠀⠨⠅⠀⠹⠏⠬⠂⠌⠏⠤⠆⠼ 10 $X=\mathbb{N}\cup \left\{\sqrt{2}\phantom{\rule{thinmathspace}{0ex}}\right\}$ ⠠⠭⠀⠨⠅⠀⠈⠰⠠⠝⠨⠬⠨⠷⠜⠆⠻⠨⠾ 11 $\overline{z}=a-bi$ ⠵⠱⠀⠨⠅⠀⠁⠤⠃⠊ 12 ${\mathbb{Z}}_{8}$ ⠈⠰⠠⠵⠦ 13 $C=\left\{\mathbf{y}:G\mathbf{x}=\mathbf{y}\text{for}\mathbf{x}\in {\mathbb{Z}}_{2}^{k}\right\}$ ⠠⠉⠀⠨⠅⠀⠨⠷⠸⠰⠽⠸⠒⠠⠛⠸⠰⠭⠀⠨⠅⠀⠸⠰⠽⠋⠕⠗⠸⠰⠭⠀⠈⠑⠀⠈⠰⠠⠵⠆⠘⠅⠐⠨⠾ 14 $\sqrt{2+\sqrt{3}}$ ⠜⠆⠬⠨⠜⠒⠨⠻⠻ 15 $\sqrt{\sqrt[3]{2}-i}$ ⠜⠨⠣⠒⠜⠆⠨⠻⠤⠊⠻ 16 ${\mathbb{R}}^{3}$ ⠈⠰⠠⠗⠘⠒ 17 ${\stackrel{~}{X}}_{\left(1\right)}=\stackrel{~}{X}$ ⠐⠠⠭⠣⠈⠱⠻⠰⠷⠂⠾⠀⠨⠅⠀⠐⠠⠭⠣⠈⠱⠻ 18 ${G}_{0}=\left\{A:\left(A,b\right)\in G\text{for some}b\right\}$ ⠠⠛⠴⠀⠨⠅⠀⠨⠷⠠⠁⠸⠒⠷⠠⠁⠠⠀⠃⠾⠀⠈⠑⠀⠠⠛⠋⠕⠗⠀⠎⠕⠍⠑⠃⠨⠾ 19 $300!$ ⠼⠒⠴⠴⠯ 20 $A\cup \left(B\cup C\right)=\left(A\cup B\right)\cup C$ ⠠⠁⠨⠬⠷⠠⠃⠨⠬⠠⠉⠾⠀⠨⠅⠀⠷⠠⠁⠨⠬⠠⠃⠾⠨⠬⠠⠉ 21 $\left(\genfrac{}{}{0}{}{n}{k}\right)$ ⠠⠷⠝⠠⠾⠀⠠⠷⠅⠠⠾ 22 $3+56-13+8/2$ ⠼⠒⠬⠢⠖⠤⠂⠒⠬⠦⠸⠌⠆ 23 $w\left(\mathbf{x}\right)=d\left(\mathbf{x},\mathbf{0}\right)$ ⠺⠷⠸⠰⠭⠾⠀⠨⠅⠀⠙⠷⠸⠰⠭⠠⠀⠸⠼⠴⠾ 24 $6.00000+0.00000i$ ⠼⠖⠨⠴⠴⠴⠴⠴⠬⠴⠨⠴⠴⠴⠴⠴⠊ 25 $p=0.0001$ ⠏⠀⠨⠅⠀⠼⠴⠨⠴⠴⠴⠂ 26 $p=0.01$ ⠏⠀⠨⠅⠀⠼⠴⠨⠴⠂ 27 $p=0.995$ ⠏⠀⠨⠅⠀⠼⠴⠨⠔⠔⠢ 28 $p=0.999$ ⠏⠀⠨⠅⠀⠼⠴⠨⠔⠔⠔ 29 $\text{A}=00,\text{B}=01,\dots ,\text{Z}=25$ ⠠⠁⠀⠨⠅⠀⠼⠴⠴⠠⠀⠠⠃⠀⠨⠅⠀⠼⠴⠂⠠⠀⠄⠄⠄⠠⠀⠠⠵⠀⠨⠅⠀⠼⠆⠢ 30 $\left(000\right)$ ⠷⠴⠴⠴⠾ 31 $0000$ ⠼⠴⠴⠴⠴ 32 ${\mathbf{c}}_{1}=\left(00000\right)$ ⠸⠰⠉⠂⠀⠨⠅⠀⠷⠴⠴⠴⠴⠴⠾ 33 $\left(00001\right)+C$ ⠷⠴⠴⠴⠴⠂⠾⠬⠠⠉ 34 $\left(0000101100\right)$ ⠷⠴⠴⠴⠴⠂⠴⠂⠂⠴⠴⠾ 35 $\left(00010\right)+C$ ⠷⠴⠴⠴⠂⠴⠾⠬⠠⠉ 36 $\mathbf{z}=\left(00011\right)$ ⠸⠰⠵⠀⠨⠅⠀⠷⠴⠴⠴⠂⠂⠾ 37 $001$ ⠼⠴⠴⠂ 38 $\left(00100\right)+C$ ⠷⠴⠴⠂⠴⠴⠾⠬⠠⠉ 39 $\left(0010000101\right)$ ⠷⠴⠴⠂⠴⠴⠴⠴⠂⠴⠂⠾ 40 $\left(001001\right)$ ⠷⠴⠴⠂⠴⠴⠂⠾ 41 $\left(01000\right)\left(00101\right)\left(11011\right)\left(10110\right)$ ⠷⠴⠂⠴⠴⠴⠾⠷⠴⠴⠂⠴⠂⠾⠷⠂⠂⠴⠂⠂⠾⠷⠂⠴⠂⠂⠴⠾ 42 $0011$ ⠼⠴⠴⠂⠂ 43 $\left(00110\right)+C$ ⠷⠴⠴⠂⠂⠴⠾⠬⠠⠉ 44 ${\mathbf{c}}_{2}=\left(00111\right)$ ⠸⠰⠉⠆⠀⠨⠅⠀⠷⠴⠴⠂⠂⠂⠾ 45 $010$ ⠼⠴⠂⠴ 46 $\left(0100\phantom{\rule{thickmathspace}{0ex}}0101\right)$ ⠷⠼⠴⠂⠴⠴⠀⠼⠴⠂⠴⠂⠾ 47 $\left(01000\right)+C$ ⠷⠴⠂⠴⠴⠴⠾⠬⠠⠉ 48 $\left(00100\right)\left(01001\right)\left(10111\right)\left(11010\right)$ ⠷⠴⠴⠂⠴⠴⠾⠷⠴⠂⠴⠴⠂⠾⠷⠂⠴⠂⠂⠂⠾⠷⠂⠂⠴⠂⠴⠾ 49 $\mathbf{x}=\left(010011{\right)}^{\text{t}}$ ⠸⠰⠭⠀⠨⠅⠀⠷⠴⠂⠴⠴⠂⠂⠾⠘⠞ 50 $\left(00111\right)\left(01010\right)\left(10100\right)\left(11001\right)$ ⠷⠴⠴⠂⠂⠂⠾⠷⠴⠂⠴⠂⠴⠾⠷⠂⠴⠂⠴⠴⠾⠷⠂⠂⠴⠴⠂⠾ 51 $\left(011100\right)\phantom{\rule{thickmathspace}{0ex}}\left(011011\right)\phantom{\rule{thickmathspace}{0ex}}\left(111011\right)\phantom{\rule{thickmathspace}{0ex}}\left(100011\right)\phantom{\rule{0ex}{0ex}}\left(000000\right)\phantom{\rule{thickmathspace}{0ex}}\left(010101\right)\phantom{\rule{thickmathspace}{0ex}}\left(110100\right)\phantom{\rule{thickmathspace}{0ex}}\left(110011\right)$ ⠷⠴⠂⠂⠂⠴⠴⠾⠷⠴⠂⠂⠴⠂⠂⠾⠷⠂⠂⠂⠴⠂⠂⠾⠷⠂⠴⠴⠴⠂⠂⠾⠷⠴⠴⠴⠴⠴⠴⠾⠷⠴⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠂⠴⠴⠾⠷⠂⠂⠴⠴⠂⠂⠾ 52 $\left(11110101\right),\left(01010100\right)$ ⠷⠂⠂⠂⠂⠴⠂⠴⠂⠾⠠⠀⠷⠴⠂⠴⠂⠴⠂⠴⠴⠾ 53 $\mathbf{z}=\left(010111{\right)}^{\text{t}}$ ⠸⠰⠵⠀⠨⠅⠀⠷⠴⠂⠴⠂⠂⠂⠾⠘⠞ 54 $011$ ⠼⠴⠂⠂ 55 $\left(0110\right)$ ⠷⠴⠂⠂⠴⠾ 56 $\left(00001\right)\left(01100\right)\left(10010\right)\left(11111\right)$ ⠷⠴⠴⠴⠴⠂⠾⠷⠴⠂⠂⠴⠴⠾⠷⠂⠴⠴⠂⠴⠾⠷⠂⠂⠂⠂⠂⠾ 57 $\mathbf{x}=\left(011001{\right)}^{\text{t}}$ ⠸⠰⠭⠀⠨⠅⠀⠷⠴⠂⠂⠴⠴⠂⠾⠘⠞ 58 $\left(011010\right),\left(011100\right)$ ⠷⠴⠂⠂⠴⠂⠴⠾⠠⠀⠷⠴⠂⠂⠂⠴⠴⠾ 59 $\left(0110110\right)\phantom{\rule{thickmathspace}{0ex}}\left(0111100\right)\phantom{\rule{thickmathspace}{0ex}}\left(1110000\right)\phantom{\rule{thickmathspace}{0ex}}\left(1111111\right)\phantom{\rule{0ex}{0ex}}\left(1001001\right)\phantom{\rule{thickmathspace}{0ex}}\left(1000011\right)\phantom{\rule{thickmathspace}{0ex}}\left(0001111\right)\phantom{\rule{thickmathspace}{0ex}}\left(0000000\right)$ ⠷⠴⠂⠂⠴⠂⠂⠴⠾⠷⠴⠂⠂⠂⠂⠴⠴⠾⠷⠂⠂⠂⠴⠴⠴⠴⠾⠷⠂⠂⠂⠂⠂⠂⠂⠾⠷⠂⠴⠴⠂⠴⠴⠂⠾⠷⠂⠴⠴⠴⠴⠂⠂⠾⠷⠴⠴⠴⠂⠂⠂⠂⠾⠷⠴⠴⠴⠴⠴⠴⠴⠾ 60 $\left(1001\right),\left(0111\right)$ ⠷⠂⠴⠴⠂⠾⠠⠀⠷⠴⠂⠂⠂⠾ 61 $\left(10000\right)\left(11101\right)\left(00011\right)\left(01110\right)$ ⠷⠂⠴⠴⠴⠴⠾⠷⠂⠂⠂⠴⠂⠾⠷⠴⠴⠴⠂⠂⠾⠷⠴⠂⠂⠂⠴⠾ 62 $\left(00010\right)\left(01111\right)\left(10001\right)\left(11100\right)$ ⠷⠴⠴⠴⠂⠴⠾⠷⠴⠂⠂⠂⠂⠾⠷⠂⠴⠴⠴⠂⠾⠷⠂⠂⠂⠴⠴⠾ 63 $\text{A}=00,\text{B}=02,\dots ,\text{Z}=25$ ⠠⠁⠀⠨⠅⠀⠼⠴⠴⠠⠀⠠⠃⠀⠨⠅⠀⠼⠴⠆⠠⠀⠄⠄⠄⠠⠀⠠⠵⠀⠨⠅⠀⠼⠆⠢ 64 $c=4\phantom{\rule{thinmathspace}{0ex}}598\phantom{\rule{thinmathspace}{0ex}}037\phantom{\rule{thinmathspace}{0ex}}234$ ⠉⠀⠨⠅⠀⠼⠲⠀⠢⠔⠦⠀⠴⠒⠶⠀⠆⠒⠲ 65 $\text{E}=04$ ⠠⠑⠀⠨⠅⠀⠼⠴⠲ 66 $10/5=2$ ⠼⠂⠴⠸⠌⠢⠀⠨⠅⠀⠼⠆ 67 $\left(1254{\right)}^{100}$ ⠷⠂⠆⠢⠲⠾⠘⠂⠴⠴ 68 $1000$ ⠼⠂⠴⠴⠴ 69 $\left(10000\right)+C$ ⠷⠂⠴⠴⠴⠴⠾⠬⠠⠉ 70 $\left(1001\phantom{\rule{thickmathspace}{0ex}}1000\right)$ ⠷⠼⠂⠴⠴⠂⠀⠼⠂⠴⠴⠴⠾ 71 $\left(101\right)$ ⠷⠂⠴⠂⠾ 72 $\mathbf{y}=\left(1010\right)$ ⠸⠰⠽⠀⠨⠅⠀⠷⠂⠴⠂⠴⠾ 73 $\left(10100\right)+C$ ⠷⠂⠴⠂⠴⠴⠾⠬⠠⠉ 74 $\mathbf{x}=\left(10101\right)$ ⠸⠰⠭⠀⠨⠅⠀⠷⠂⠴⠂⠴⠂⠾ 75 $\left(101011\right)$ ⠷⠂⠴⠂⠴⠂⠂⠾ 76 $\left(1011\right)$ ⠷⠂⠴⠂⠂⠾ 77 $\left(000000\right),\left(010111\right),\left(101101\right),\left(111010\right)$ ⠷⠴⠴⠴⠴⠴⠴⠾⠠⠀⠷⠴⠂⠴⠂⠂⠂⠾⠠⠀⠷⠂⠴⠂⠂⠴⠂⠾⠠⠀⠷⠂⠂⠂⠴⠂⠴⠾ 78 $gcd\left(120,102\right)=6$ ⠛⠉⠙⠀⠷⠂⠆⠴⠠⠀⠂⠴⠆⠾⠀⠨⠅⠀⠼⠖ 79 $108$ ⠼⠂⠴⠦ 80 $110$ ⠼⠂⠂⠴ 81 $\mathbf{y}=\left(1100\right)$ ⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠴⠾ 82 $\left(00110\right)\left(01011\right)\left(10101\right)\left(11000\right)$ ⠷⠴⠴⠂⠂⠴⠾⠷⠴⠂⠴⠂⠂⠾⠷⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠴⠴⠾ 83 $\left(011010\right)\phantom{\rule{thickmathspace}{0ex}}\left(011100\right)\phantom{\rule{thickmathspace}{0ex}}\left(110111\right)\phantom{\rule{thickmathspace}{0ex}}\left(110000\right)$ ⠷⠴⠂⠂⠴⠂⠴⠾⠷⠴⠂⠂⠂⠴⠴⠾⠷⠂⠂⠴⠂⠂⠂⠾⠷⠂⠂⠴⠴⠴⠴⠾ 84 $\left(000000\right)\phantom{\rule{thickmathspace}{0ex}}\left(011100\right)\phantom{\rule{thickmathspace}{0ex}}\left(110101\right)\phantom{\rule{thickmathspace}{0ex}}\left(110001\right)$ ⠷⠴⠴⠴⠴⠴⠴⠾⠷⠴⠂⠂⠂⠴⠴⠾⠷⠂⠂⠴⠂⠴⠂⠾⠷⠂⠂⠴⠴⠴⠂⠾ 85 $\mathbf{x}=\left(1101\right)$ ⠸⠰⠭⠀⠨⠅⠀⠷⠂⠂⠴⠂⠾ 86 $\mathbf{y}=\left(11010\right)$ ⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠂⠴⠾ 87 $\mathbf{y}=\left(110101{\right)}^{\text{t}}$ ⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠴⠂⠴⠂⠾⠘⠞ 88 ${\mathbf{c}}_{4}=\left(11011\right)$ ⠸⠰⠉⠲⠀⠨⠅⠀⠷⠂⠂⠴⠂⠂⠾ 89 $\left(110110\right)$ ⠷⠂⠂⠴⠂⠂⠴⠾ 90 $\left(111\right)$ ⠷⠂⠂⠂⠾ 91 $\left(0110\phantom{\rule{thickmathspace}{0ex}}1110\phantom{\rule{thickmathspace}{0ex}}0110\right)$ ⠷⠼⠴⠂⠂⠴⠀⠼⠂⠂⠂⠴⠀⠼⠴⠂⠂⠴⠾ 92 ${\mathbf{c}}_{3}=\left(11100\right)$ ⠸⠰⠉⠒⠀⠨⠅⠀⠷⠂⠂⠂⠴⠴⠾ 93 $1111$ ⠼⠂⠂⠂⠂ 94 $\mathbf{x}=\left(111110{\right)}^{\text{t}}$ ⠸⠰⠭⠀⠨⠅⠀⠷⠂⠂⠂⠂⠂⠴⠾⠘⠞ 95 $\mathbf{y}=\left(111111{\right)}^{\text{t}}$ ⠸⠰⠽⠀⠨⠅⠀⠷⠂⠂⠂⠂⠂⠂⠾⠘⠞ 96 $11213525032442$ ⠼⠂⠂⠆⠂⠒⠢⠆⠢⠴⠒⠆⠲⠲⠆ 97 ${7}^{6}=117\phantom{\rule{thinmathspace}{0ex}}649$ ⠼⠶⠘⠖⠀⠨⠅⠀⠼⠂⠂⠶⠀⠖⠲⠔ 98 $gcd\left(24,36\right)=12$ ⠛⠉⠙⠀⠷⠆⠲⠠⠀⠒⠖⠾⠀⠨⠅⠀⠼⠂⠆ 99 $n=120979,E=13251,x=142371$ ⠝⠀⠨⠅⠀⠼⠂⠆⠴⠔⠶⠔⠠⠀⠠⠑⠀⠨⠅⠀⠼⠂⠒⠆⠢⠂⠠⠀⠭⠀⠨⠅⠀⠼⠂⠲⠆⠒⠶⠂ 100 $\left(12345\right)\left(678\right)$ ⠷⠂⠆⠒⠲⠢⠾⠷⠖⠶⠦⠾ 101 $\left[\left(1235\right)\left(467\right){\right]}^{-1}$ ⠈⠷⠷⠂⠆⠒⠢⠾⠷⠲⠖⠶⠾⠈⠾⠘⠤⠂ 102 $\left(n,E\right)=\left(37986733,12371\right)$ ⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠒⠶⠔⠦⠖⠶⠒⠒⠠⠀⠂⠆⠒⠶⠂⠾ 103 $\left(12453\right)$ ⠷⠂⠆⠲⠢⠒⠾ 104 $\left(12\right)\left(1253\right)$ ⠷⠂⠆⠾⠷⠂⠆⠢⠒⠾ 105 $\left(12537{\right)}^{-1}$ ⠷⠂⠆⠢⠒⠶⠾⠘⠤⠂ 106 $\left(1254\right)\left(13\right)\left(25\right)$ ⠷⠂⠆⠢⠲⠾⠷⠂⠒⠾⠷⠆⠢⠾ 107 $1260$ ⠼⠂⠆⠖⠴ 108 ${128}^{4}=268,435,456$ ⠼⠂⠆⠦⠘⠲⠀⠨⠅⠀⠼⠆⠖⠦⠠⠀⠼⠲⠒⠢⠠⠀⠼⠲⠢⠖ 109 $n=79403,D=671,y=129381$ ⠝⠀⠨⠅⠀⠼⠶⠔⠲⠴⠒⠠⠀⠠⠙⠀⠨⠅⠀⠼⠖⠶⠂⠠⠀⠽⠀⠨⠅⠀⠼⠂⠆⠔⠒⠦⠂ 110 $\left(1423\right)\left(34\right)\left(56\right)\left(1324\right)$ ⠷⠂⠲⠆⠒⠾⠷⠒⠲⠾⠷⠢⠖⠾⠷⠂⠒⠆⠲⠾ 111 $\left\{\left(13\right),\left(13\right)\left(24\right),\left(132\right),\left(134\right),\left(1324\right),\left(1342\right)\right\}$ ⠨⠷⠷⠂⠒⠾⠠⠀⠷⠂⠒⠾⠷⠆⠲⠾⠠⠀⠷⠂⠒⠆⠾⠠⠀⠷⠂⠒⠲⠾⠠⠀⠷⠂⠒⠆⠲⠾⠠⠀⠷⠂⠒⠲⠆⠾⠨⠾ 112 $\left(1345\right)\left(234\right)$ ⠷⠂⠒⠲⠢⠾⠷⠆⠒⠲⠾ 113 $14$ ⠼⠂⠲ 114 $x=142528$ ⠭⠀⠨⠅⠀⠼⠂⠲⠆⠢⠆⠦ 115 $\left(1426\right)\left(142\right)$ ⠷⠂⠲⠆⠖⠾⠷⠂⠲⠆⠾ 116 $\left(142637\right)$ ⠷⠂⠲⠆⠖⠒⠶⠾ 117 $\left(14356\right)$ ⠷⠂⠲⠒⠢⠖⠾ 118 $191E=1+151m$ ⠼⠂⠔⠂⠠⠑⠀⠨⠅⠀⠼⠂⠬⠂⠢⠂⠍ 119 $1523$ ⠼⠂⠢⠆⠒ 120 $1531$ ⠼⠂⠢⠒⠂ 121 $\left(17254\right)\left(1423\right)\left(154632\right)$ ⠷⠂⠶⠆⠢⠲⠾⠷⠂⠲⠆⠒⠾⠷⠂⠢⠲⠖⠒⠆⠾ 122 $\left(156\right)\left(234\right)$ ⠷⠂⠢⠖⠾⠷⠆⠒⠲⠾ 123 $s=-16$ ⠎⠀⠨⠅⠀⠤⠼⠂⠖ 124 $\mathbf{16}$ ⠸⠼⠂⠖ 125 $160$ ⠼⠂⠖⠴ 126 $\mu =\left(1634\right)$ ⠨⠍⠀⠨⠅⠀⠷⠂⠖⠒⠲⠾ 127 $\left(n,E\right)=\left(16394854313,34578451\right)$ ⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠂⠖⠒⠔⠲⠦⠢⠲⠒⠂⠒⠠⠀⠒⠲⠢⠶⠦⠲⠢⠂⠾ 128 $5\cdot 7\cdot 47=1645$ ⠼⠢⠡⠶⠡⠲⠶⠀⠨⠅⠀⠼⠂⠖⠲⠢ 129 $165$ ⠼⠂⠖⠢ 130 $168$ ⠼⠂⠖⠦ 131 $41\equiv 17\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}8\right)$ ⠼⠲⠂⠀⠸⠇⠀⠼⠂⠶⠷⠍⠕⠙⠀⠼⠦⠾ 132 $\left(17352\right)$ ⠷⠂⠶⠒⠢⠆⠾ 133 $1739$ ⠼⠂⠶⠒⠔ 134 $175$ ⠼⠂⠶⠢ 135 ${180}^{\circ }$ ⠼⠂⠦⠴⠘⠨⠡ 136 $19$ ⠼⠂⠔ 137 $\left(n,E\right)=\left(3053,1921\right)$ ⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠒⠴⠢⠒⠠⠀⠂⠔⠆⠂⠾ 138 $196,833×196,833$ ⠼⠂⠔⠖⠠⠦⠒⠒⠈⠡⠂⠔⠖⠠⠦⠒⠒ 139 $19945$ ⠼⠂⠔⠔⠲⠢ 140 $n=3551,D=1997,y=2791$ ⠝⠀⠨⠅⠀⠼⠒⠢⠢⠂⠠⠀⠠⠙⠀⠨⠅⠀⠼⠂⠔⠔⠶⠠⠀⠽⠀⠨⠅⠀⠼⠆⠶⠔⠂ 141 $200$ ⠼⠆⠴⠴ 142 $2000$ ⠼⠆⠴⠴⠴ 143 ${2071}^{9521}\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}4724\right)$ ⠼⠆⠴⠶⠂⠘⠔⠢⠆⠂⠐⠷⠍⠕⠙⠀⠼⠲⠶⠆⠲⠾ 144 $2134$ ⠼⠆⠂⠒⠲ 145 $x\equiv 214\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}2772\right)$ ⠭⠀⠸⠇⠀⠼⠆⠂⠲⠷⠍⠕⠙⠀⠼⠆⠶⠶⠆⠾ 146 $2234+4121$ ⠼⠆⠆⠒⠲⠬⠲⠂⠆⠂ 147 $n=2257,E=47,x=23$ ⠝⠀⠨⠅⠀⠼⠆⠆⠢⠶⠠⠀⠠⠑⠀⠨⠅⠀⠼⠲⠶⠠⠀⠭⠀⠨⠅⠀⠼⠆⠒ 148 $\left(n,E\right)=\left(451,231\right)$ ⠷⠝⠠⠀⠠⠑⠾⠀⠨⠅⠀⠷⠲⠢⠂⠠⠀⠆⠒⠂⠾ 149 $n=45629,E=781,x=231561$ ⠝⠀⠨⠅⠀⠼⠲⠢⠖⠆⠔⠠⠀⠠⠑⠀⠨⠅⠀⠼⠶⠦⠂⠠⠀⠭⠀⠨⠅⠀⠼⠆⠒⠂⠢⠖⠂ 150 $234$ ⠼⠆⠒⠲ 151 $23771$ ⠼⠆⠒⠶⠶⠂ 152 $41-17=24$ ⠼⠲⠂⠤⠂⠶⠀⠨⠅⠀⠼⠆⠲ 153 $72\in {\mathbb{Z}}_{240}$ ⠼⠶⠆⠀⠈⠑⠀⠈⠰⠠⠵⠆⠲⠴ 154 $2415$ ⠼⠆⠲⠂⠢ 155 $N=250$ ⠠⠝⠀⠨⠅⠀⠼⠆⠢⠴ 156 $255$ ⠼⠆⠢⠢ 157 ${2557}^{341}\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}5681\right)$ ⠼⠆⠢⠢⠶⠘⠒⠲⠂⠐⠷⠍⠕⠙⠀⠼⠢⠖⠦⠂⠾ 158 ${2}^{8}=256$ ⠼⠆⠘⠦⠀⠨⠅⠀⠼⠆⠢⠖ 159 $5x+1\equiv 13\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}26\right)$ ⠼⠢⠭⠬⠂⠀⠸⠇⠀⠼⠂⠒⠷⠍⠕⠙⠀⠼⠆⠖⠾ 160 $2600={2}^{3}×{5}^{2}×13$ ⠼⠆⠖⠴⠴⠀⠨⠅⠀⠼⠆⠘⠒⠐⠈⠡⠢⠘⠆⠐⠈⠡⠂⠒ 161 ${\mathbb{Z}}_{27}$ ⠈⠰⠠⠵⠆⠶ 162 ${271}^{321}\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}481\right)$ ⠼⠆⠶⠂⠘⠒⠆⠂⠐⠷⠍⠕⠙⠀⠼⠲⠦⠂⠾ 163 $n=120979,D=27331,y=112135$ ⠝⠀⠨⠅⠀⠼⠂⠆⠴⠔⠶⠔⠠⠀⠠⠙⠀⠨⠅⠀⠼⠆⠶⠒⠒⠂⠠⠀⠽⠀⠨⠅⠀⠼⠂⠂⠆⠂⠒⠢ 164 $2791$ ⠼⠆⠶⠔⠂ 165 $28$ ⠼⠆⠦ 166 $q=29$ ⠟⠀⠨⠅⠀⠼⠆⠔ 167 ${292}^{3171}\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}582\right)$ ⠼⠆⠔⠆⠘⠒⠂⠶⠂⠐⠷⠍⠕⠙⠀⠼⠢⠦⠆⠾ 168 $2134\cdot 1531=3,267,154$ ⠼⠆⠂⠒⠲⠡⠂⠢⠒⠂⠀⠨⠅⠀⠼⠒⠠⠆⠖⠶⠠⠂⠢⠲ 169 $U\left(30\right)$ ⠠⠥⠷⠒⠴⠾ 170 $n=3551,E=629,x=31$ ⠝⠀⠨⠅⠀⠼⠒⠢⠢⠂⠠⠀⠠⠑⠀⠨⠅⠀⠼⠖⠆⠔⠠⠀⠭⠀⠨⠅⠀⠼⠒⠂ 171 $312\in {\mathbb{Z}}_{471}$ ⠼⠒⠂⠆⠀⠈⠑⠀⠈⠰⠠⠵⠲⠶⠂ 172 $342$ ⠼⠒⠲⠆ 173 $G=\left\{\left(1\right),\left(12\right),\left(345\right),\left(354\right),\left(12\right)\left(345\right),\left(12\right)\left(354\right)\right\}$ ⠠⠛⠀⠨⠅⠀⠨⠷⠷⠂⠾⠠⠀⠷⠂⠆⠾⠠⠀⠷⠒⠲⠢⠾⠠⠀⠷⠒⠢⠲⠾⠠⠀⠷⠂⠆⠾⠷⠒⠲⠢⠾⠠⠀⠷⠂⠆⠾⠷⠒⠢⠲⠾⠨⠾ 174 $44\phantom{\rule{thinmathspace}{0ex}}352\phantom{\rule{thinmathspace}{0ex}}000$ ⠼⠲⠲⠀⠒⠢⠆⠀⠴⠴⠴ 175 ${360}^{\circ }$ ⠼⠒⠖⠴⠘⠨⠡ 176 $37$ ⠼⠒⠶ 177 $3754$ ⠼⠒⠶⠢⠲ 178 $38$ ⠼⠒⠦ 179 $39$ ⠼⠒⠔ 180 $391=17\cdot 23$ ⠼⠒⠔⠂⠀⠨⠅⠀⠼⠂⠶⠡⠆⠒ 181 $x=4$ ⠭⠀⠨⠅⠀⠼⠲ 182 $40$ ⠼⠲⠴ 183 $42$ ⠼⠲⠆ 184 $43-18i$ ⠼⠲⠒⠤⠂⠦⠊ 185 $n=8779\cdot 4327$ ⠝⠀⠨⠅⠀⠼⠦⠶⠶⠔⠡⠲⠒⠆⠶ 186 $-4357$ ⠤⠼⠲⠒⠢⠶ 187 $44$ ⠼⠲⠲ 188 $46$ ⠼⠲⠖ 189 $46,388$ ⠼⠲⠖⠠⠒⠦⠦ 190 ${D}_{470448}$ ⠠⠙⠲⠶⠴⠲⠲⠦ 191 $471$ ⠼⠲⠶⠂ 192 ${\mathbb{Z}}_{48}$ ⠈⠰⠠⠵⠲⠦ 193 $E=487$ ⠠⠑⠀⠨⠅⠀⠼⠲⠦⠶ 194 $U\left(49\right)$ ⠠⠥⠷⠲⠔⠾ 195 $2+3=5$ ⠼⠆⠬⠒⠀⠨⠅⠀⠼⠢ 196 $500$ ⠼⠢⠴⠴ 197 $7!=5040$ ⠼⠶⠯⠀⠀⠨⠅⠀⠼⠢⠴⠲⠴ 198 $51$ ⠼⠢⠂ 199 ${2}^{511}-1$ ⠼⠆⠘⠢⠂⠂⠐⠤⠂ 200 $52$ ⠼⠢⠆ 201 $53$ ⠼⠢⠒ 202 $54$ ⠼⠢⠲ 203 $540={2}^{2}\cdot {3}^{3}\cdot 5$ ⠼⠢⠲⠴⠀⠨⠅⠀⠼⠆⠘⠆⠐⠡⠒⠘⠒⠐⠡⠢ 204 $561$ ⠼⠢⠖⠂ 205 $562$ ⠼⠢⠖⠆ 206 $57={2}^{0}+{2}^{3}+{2}^{4}+{2}^{5}$ ⠼⠢⠶⠀⠨⠅⠀⠼⠆⠘⠴⠐⠬⠆⠘⠒⠐⠬⠆⠘⠲⠐⠬⠆⠘⠢ 207 $58$ ⠼⠢⠦ 208 $n=5893,D=81,y=34$ ⠝⠀⠨⠅⠀⠼⠢⠦⠔⠒⠠⠀⠠⠙⠀⠨⠅⠀⠼⠦⠂⠠⠀⠽⠀⠨⠅⠀⠼⠒⠲ 209 $59$ ⠼⠢⠔ 210 $2x=6$ ⠼⠆⠭⠀⠨⠅⠀⠼⠖ 211 $6.00000$ ⠼⠖⠨⠴⠴⠴⠴⠴ 212 $\left(1,2,4,8\right)\left(3,6.12,9\right)\left(5,10\right)\left(7,14,13,11\right)$ ⠷⠂⠠⠀⠆⠠⠀⠲⠠⠀⠦⠾⠷⠒⠠⠀⠖⠨⠂⠆⠠⠀⠔⠾⠷⠢⠠⠀⠂⠴⠾⠷⠶⠠⠀⠂⠲⠠⠀⠂⠒⠠⠀⠂⠂⠾ 213 $z=2\mathrm{cis}{60}^{\circ }$ ⠵⠀⠨⠅⠀⠼⠆⠉⠊⠎⠀⠼⠖⠴⠘⠨⠡ 214 ${x}^{4}-\left(2/3\right){x}^{2}-62/9$ ⠭⠘⠲⠐⠤⠷⠆⠸⠌⠒⠾⠭⠘⠆⠐⠤⠖⠆⠸⠌⠔ 215 $\left[\mathrm{GF}\left(625\right):\mathrm{GF}\left(25\right)\right]$ ⠈⠷⠠⠠⠛⠋⠷⠖⠆⠢⠾⠀⠐⠂⠀⠠⠠⠛⠋⠷⠆⠢⠾⠈⠾ 216 $631$ ⠼⠖⠒⠂ 217 $64$ ⠼⠖⠲ 218 ${2}^{{2}^{4}}=65,536$ ⠼⠆⠘⠆⠘⠘⠲⠀⠨⠅⠀⠼⠖⠢⠠⠢⠒⠖ 219 $66$ ⠼⠖⠖ 220 $720$ ⠼⠶⠆⠴ 221 $729$ ⠼⠶⠆⠔ 222 ${971}^{321}\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}765\right)$ ⠼⠔⠶⠂⠘⠒⠆⠂⠐⠷⠍⠕⠙⠀⠼⠶⠖⠢⠾ 223 $771$ ⠼⠶⠶⠂ 224 ${\mathbb{Z}}_{10}×{\mathbb{Z}}_{24}×{\mathbb{Z}}_{80}$ ⠈⠰⠠⠵⠂⠴⠈⠡⠈⠰⠠⠵⠆⠲⠈⠡⠈⠰⠠⠵⠦⠴ 225 ${7}^{5}=16\phantom{\rule{thinmathspace}{0ex}}807$ ⠼⠶⠘⠢⠀⠨⠅⠀⠼⠂⠖⠀⠦⠴⠶ 226 $811$ ⠼⠦⠂⠂ 227 $95\cdot 97\cdot 98\cdot 99=89,403,930$ ⠼⠔⠢⠡⠔⠶⠡⠔⠦⠡⠔⠔⠀⠨⠅⠀⠼⠦⠔⠠⠲⠴⠒⠠⠔⠒⠴ 228 ${90}^{\circ }$ ⠼⠔⠴⠘⠨⠡ 229 $945$ ⠼⠔⠲⠢ 230 $95$ ⠼⠔⠢ 231 $96$ ⠼⠔⠖ 232 $97$ ⠼⠔⠶ 233 $98$ ⠼⠔⠦ 234 $99$ ⠼⠔⠔ 235 $9923$ ⠼⠔⠔⠆⠒ 236 $a\in A$ ⠁⠀⠈⠑⠀⠠⠁ 237 $\mathrm{Aut}\left(G\right)$ ⠠⠁⠥⠞⠷⠠⠛⠾ 238 $A\subset B$ ⠠⠁⠀⠸⠐⠅⠀⠠⠃ 239 $h:C\to D$ ⠓⠸⠒⠀⠠⠉⠀⠫⠕⠀⠠⠙ 240 $G×G\to G$ ⠠⠛⠈⠡⠠⠛⠀⠫⠕⠀⠠⠛ 241 $\mathrm{GF}\left({p}^{n}\right)$ ⠠⠠⠛⠋⠷⠏⠘⠝⠐⠾ 242 $H=\left\{e\right\}$ ⠠⠓⠀⠨⠅⠀⠨⠷⠑⠨⠾ 243 $\mathbb{H}$ ⠈⠰⠠⠓ 244 $\mathrm{Hom}\left(V,W\right)$ ⠠⠓⠕⠍⠀⠷⠠⠧⠠⠀⠠⠺⠾ 245 $\mathrm{Inn}\left(G\right)$ ⠠⠊⠝⠝⠷⠠⠛⠾ 246 $G{L}_{2}\left(\mathbb{R}\right)$ ⠠⠛⠠⠇⠆⠷⠈⠰⠠⠗⠾ 247 $\varphi :{\mathcal{L}}_{H}\to {\mathcal{R}}_{H}$ ⠨⠋⠸⠒⠀⠈⠰⠠⠇⠰⠠⠓⠀⠫⠕⠀⠈⠰⠠⠗⠰⠠⠓ 248 ${\mathbb{M}}_{2}\left(\mathbb{R}\right)$ ⠈⠰⠠⠍⠆⠷⠈⠰⠠⠗⠾ 249 $R/M$ ⠠⠗⠸⠌⠠⠍ 250 $1 ⠼⠂⠀⠐⠅⠀⠝⠀⠐⠅⠀⠠⠝ 251 $\mathrm{Null}\left(H\right)$ ⠠⠝⠥⠇⠇⠷⠠⠓⠾ 252 $O\left(n\right)$ ⠠⠕⠷⠝⠾ 253 $PA{P}^{-1}=B$ ⠠⠏⠠⠁⠠⠏⠘⠤⠂⠀⠨⠅⠀⠠⠃ 254 $\mathbb{P}\left(\mathbb{R}\right)$ ⠈⠰⠠⠏⠷⠈⠰⠠⠗⠾ 255 $QB{Q}^{-1}=C$ ⠠⠟⠠⠃⠠⠟⠘⠤⠂⠀⠨⠅⠀⠠⠉ 256 $R\subset X×X$ ⠠⠗⠀⠸⠐⠅⠀⠠⠭⠈⠡⠠⠭ 257 $S=\left\{1,2,3\right\}$ ⠠⠎⠀⠨⠅⠀⠨⠷⠂⠠⠀⠆⠠⠀⠒⠨⠾ 258 $\text{S}=18$ ⠠⠎⠀⠨⠅⠀⠼⠂⠦ 259 ${T}_{A}:{\mathbb{R}}^{2}\to {\mathbb{R}}^{2}$ ⠠⠞⠰⠠⠁⠸⠒⠀⠈⠰⠠⠗⠘⠆⠀⠫⠕⠀⠈⠰⠠⠗⠘⠆ 260 $\mathbb{T}=\left\{z\in {\mathbb{C}}^{\ast }:|z|=1\right\}$ ⠈⠰⠠⠞⠀⠨⠅⠀⠨⠷⠵⠀⠈⠑⠀⠈⠰⠠⠉⠘⠈⠼⠸⠒⠳⠵⠳⠀⠨⠅⠀⠼⠂⠨⠾ 261 $A\subset U$ ⠠⠁⠀⠸⠐⠅⠀⠠⠥ 262 $v\in V$ ⠧⠀⠈⠑⠀⠠⠧ 263 $Y=\left\{B,W\right\}$ ⠠⠽⠀⠨⠅⠀⠨⠷⠠⠃⠠⠀⠠⠺⠨⠾ 264 $f:X\to Y$ ⠋⠸⠒⠀⠠⠭⠀⠫⠕⠀⠠⠽ 265 ${\mathbb{M}}_{m×n}\left({\mathbf{Z}}_{2}\right)$ ⠈⠰⠠⠍⠰⠍⠈⠡⠝⠐⠷⠸⠰⠠⠵⠆⠾ 266 $\left[x\right]=\left\{y\in X:y\sim x\right\}$ ⠈⠷⠭⠈⠾⠀⠨⠅⠀⠨⠷⠽⠀⠈⠑⠀⠠⠭⠸⠒⠽⠀⠈⠱⠀⠭⠨⠾ 267 $F\left[x\right]$ ⠠⠋⠈⠷⠭⠈⠾ 268 $\mathrm{char}R$ ⠉⠓⠁⠗⠀⠠⠗ 269 $r\mathrm{cis}\theta$ ⠗⠉⠊⠎⠀⠨⠹ 270 $\alpha \beta =\mathrm{i}\mathrm{d}$ ⠨⠁⠨⠃⠀⠨⠅⠀⠊⠙ 271 $\mathrm{deg}f\left(x\right)=n$ ⠙⠑⠛⠀⠋⠷⠭⠾⠀⠨⠅⠀⠝ 272 $detA=ad-bc\ne 0$ ⠙⠑⠞⠀⠠⠁⠀⠨⠅⠀⠁⠙⠤⠃⠉⠀⠌⠨⠅⠀⠼⠴ 273 $\mathrm{dim}V=n$ ⠙⠊⠍⠀⠠⠧⠀⠨⠅⠀⠝ 274 ${f}^{-1}\left(x\right)={e}^{x}$ ⠋⠘⠤⠂⠐⠷⠭⠾⠀⠨⠅⠀⠑⠘⠭ 275 $f\subset A×B$ ⠋⠀⠸⠐⠅⠀⠠⠁⠈⠡⠠⠃ 276 $g\left(1\right)=a$ ⠛⠷⠂⠾⠀⠨⠅⠀⠁ 277 $d=gcd\left(a,b\right)$ ⠙⠀⠨⠅⠀⠛⠉⠙⠀⠷⠁⠠⠀⠃⠾ 278 ${X}_{i}\cap {X}_{j}=\mathrm{\varnothing }$ ⠠⠭⠰⠊⠐⠨⠩⠠⠭⠰⠚⠀⠨⠅⠀⠸⠴ 279 $\mathrm{ker}\varphi$ ⠅⠑⠗⠀⠨⠋ 280 $s-t=ln$ ⠎⠤⠞⠀⠨⠅⠀⠇⠝ 281 $\mathrm{lcm}\left(a,b\right)$ ⠇⠉⠍⠀⠷⠁⠠⠀⠃⠾ 282 $\underset{n\to \mathrm{\infty }}{lim}{f}_{n}/{f}_{n+1}=\left(\sqrt{5}-1\right)/2$ ⠐⠇⠊⠍⠩⠝⠀⠫⠕⠀⠠⠿⠻⠀⠋⠰⠝⠐⠸⠌⠋⠰⠝⠬⠂⠀⠨⠅⠀⠷⠜⠢⠻⠤⠂⠾⠸⠌⠆ 283 $f\left(x\right)=\mathrm{ln}x$ ⠋⠷⠭⠾⠀⠨⠅⠀⠇⠝⠀⠭ 284 ${\mathbb{R}}^{m}$ ⠈⠰⠠⠗⠘⠍ 285 $\mathrm{deg}\left(p\left(x\right)+q\left(x\right)\right)\le max\left(\mathrm{deg}p\left(x\right),\mathrm{deg}q\left(x\right)\right)$ ⠙⠑⠛⠀⠷⠏⠷⠭⠾⠬⠟⠷⠭⠾⠾⠀⠐⠅⠱⠀⠍⠁⠭⠀⠷⠙⠑⠛⠀⠏⠷⠭⠾⠠⠀⠙⠑⠛⠀⠟⠷⠭⠾⠾ 286 ${d}_{min}$ ⠙⠰⠍⠊⠝ 287 $r=s$ ⠗⠀⠨⠅⠀⠎ 288 $\mathbf{r}$ ⠸⠰⠗ 289 $f\left(x\right)=\mathrm{sin}x$ ⠋⠷⠭⠾⠀⠨⠅⠀⠎⠊⠝⠀⠭ 290 $r/s\sim t/u$ ⠗⠸⠌⠎⠀⠈⠱⠀⠞⠸⠌⠥ 291 $\mathbf{b}=\left(2,2{\right)}^{\text{t}}$ ⠸⠰⠃⠀⠨⠅⠀⠷⠆⠠⠀⠆⠾⠘⠞ 292 $v\in {\mathbb{R}}^{2}$ ⠧⠀⠈⠑⠀⠈⠰⠠⠗⠘⠆ 293 $\mathbf{w}$ ⠸⠰⠺ 294 $\mathbf{x}=\left({x}_{1},\dots ,{x}_{n}\right)$ ⠸⠰⠭⠀⠨⠅⠀⠷⠭⠂⠠⠀⠄⠄⠄⠠⠀⠭⠰⠝⠐⠾ 295 $A=\left\{x,y\right\}$ ⠠⠁⠀⠨⠅⠀⠨⠷⠭⠠⠀⠽⠨⠾ 296 $\mathbf{y}=\left({y}_{1},\dots ,{y}_{n}\right)$ ⠸⠰⠽⠀⠨⠅⠀⠷⠽⠂⠠⠀⠄⠄⠄⠠⠀⠽⠰⠝⠐⠾ 297 $|x-y|\le 4$ ⠳⠭⠤⠽⠳⠀⠐⠅⠱⠀⠼⠲ 298 $\stackrel{~}{\sigma }$ ⠐⠨⠎⠣⠈⠱⠻ 299 $A×B$ ⠠⠁⠈⠡⠠⠃ 300 $\mathrm{\Delta }={b}^{2}-4ac$ ⠨⠠⠙⠀⠨⠅⠀⠃⠘⠆⠐⠤⠲⠁⠉ 301 $\alpha$ ⠨⠁ 302 $\beta$ ⠨⠃ 303 $⟨{\mathbf{a}}_{r},{\mathbf{a}}_{s}⟩={\delta }_{rs}$ ⠨⠨⠷⠸⠰⠁⠰⠗⠠⠀⠸⠰⠁⠰⠎⠐⠨⠨⠾⠀⠨⠅⠀⠨⠙⠰⠗⠎ 304 $\eta :G/K\to \psi \left(G\right)$ ⠨⠱⠸⠒⠀⠠⠛⠸⠌⠠⠅⠀⠫⠕⠀⠨⠽⠷⠠⠛⠾ 305 $\lambda$ ⠨⠇ 306 ${\mu }_{1}{\rho }_{1}$ ⠨⠍⠂⠨⠗⠂ 307 $\nu :\mathbb{Z}\left[\sqrt{3}\phantom{\rule{thinmathspace}{0ex}}i\right]\to \mathbb{N}\cup \left\{0\right\}$ ⠨⠝⠸⠒⠀⠈⠰⠠⠵⠈⠷⠜⠒⠻⠊⠈⠾⠀⠫⠕⠀⠈⠰⠠⠝⠨⠬⠨⠷⠴⠨⠾ 308 $\pi :S\to S$ ⠨⠏⠸⠒⠀⠠⠎⠀⠫⠕⠀⠠⠎ 309 $\psi$ ⠨⠽ 310 $w=s\mathrm{cis}\varphi$ ⠺⠀⠨⠅⠀⠎⠉⠊⠎⠀⠨⠋ 311 ${A}^{\prime }$ ⠠⠁⠄ 312 ${g}^{″}$ ⠛⠄⠄ 313 $\ell$ ⠈⠰⠇ 314 $f:A\to B$ ⠋⠸⠒⠀⠠⠁⠀⠫⠕⠀⠠⠃ 315 $f:a↦b$ ⠋⠸⠒⠀⠁⠀⠫⠳⠒⠒⠕⠀⠃ 316 $\left(⇐\right)$ ⠷⠫⠪⠶⠶⠾ 317 $\mathrm{\varnothing }$ ⠸⠴ 318 $-3\notin E$ ⠤⠼⠒⠀⠌⠈⠑⠀⠠⠑ 319 ${\mathbb{C}}^{\ast }$ ⠈⠰⠠⠉⠘⠈⠼ 320 $\left(g\circ f\right)\left(x\right)=g\left(f\left(x\right)\right)$ ⠷⠛⠨⠡⠋⠾⠷⠭⠾⠀⠨⠅⠀⠛⠷⠋⠷⠭⠾⠾ 321 $a\mid b$ ⠁⠳⠃ 322 $p\nmid a$ ⠏⠌⠳⠁ 323 $a\wedge b$ ⠁⠈⠩⠃ 324 $a\vee b$ ⠁⠈⠬⠃ 325 $A\cup B$ ⠠⠁⠨⠬⠠⠃ 326 $x\sim y$ ⠭⠀⠈⠱⠀⠽ 327 $\cong$ ⠈⠱⠨⠅ 328 $a\ne 0$ ⠁⠀⠌⠨⠅⠀⠼⠴ 329 $\equiv$ ⠸⠇ 330 $q\not\equiv 1\phantom{\rule{0.444em}{0ex}}\left(\mathrm{mod}\phantom{\rule{0.333em}{0ex}}p\right)$ ⠟⠀⠌⠸⠇⠀⠼⠂⠷⠍⠕⠙⠀⠏⠾ 331 $x\ge y$ ⠭⠀⠨⠂⠱⠀⠽ 332 $B\supset A$ ⠠⠃⠀⠸⠨⠂⠀⠠⠁ 333 $A\not\subset B$ ⠠⠁⠀⠌⠸⠐⠅⠀⠠⠃ 334 $W=U\oplus V$ ⠠⠺⠀⠨⠅⠀⠠⠥⠫⠉⠸⠫⠬⠻⠠⠧ 335 $2\cdot 4$ ⠼⠆⠡⠲ 336 ${Z}_{3}⋊{Z}_{4}$ ⠠⠵⠒⠈⠡⠳⠠⠵⠲ 337 $△ABC$ ⠫⠞⠀⠠⠁⠠⠃⠠⠉ 338 $a⪯b$ ⠁⠀⠨⠐⠅⠱⠀⠃ 339 $⪰$ ⠨⠨⠂⠱