\[\boxed{\text{6.184.}}\]
\[\textbf{а)}\ 6^{2} + 2^{2} = 36 + 4 = 40;\ \]
\[40 + 50 = 90;\ \]
\[90\ :15 = 6;\ \]
\[6 \cdot 20 = 120;\ \]
\[120 - 25 = 95.\ \]
\[\textbf{б)}\ 3^{3} + 5^{2} = 27 + 25 = 52;\ \]
\[52\ :13 = 4;\ \]
\[4 \cdot 25 = 100;\ \]
\[100 + 150 = 250;\ \]
\[250\ :125 = 2.\ \]
\[\textbf{в)}\ 4^{3} - 3^{2} = 64 - 9 = 55;\ \]
\[55\ :11 = 5;\ \]
\[5 \cdot 40 = 200;\ \]
\[200 - 75 = 125;\ \]
\[125\ :25 = 5.\ \]
\[\textbf{г)}\ 2^{3} + 9^{2} = 8 + 81 = 89;\ \]
\[89 + 21 = 110;\ \]
\[110\ :11 = 10;\ \]
\[10 \cdot 18 = 180;\ \]
\[180\ :45 = 4.\ \ \ \]