\(a,25.69+31.25-150\\ =25.\left(69+31\right)-150\\ =25.100-150\\ =2500-150\\ =2350\)
\(b,198:\left[130-\left(27-19\right)^2\right]+2021^0\\ =198:\left(130-8^2\right)+1\\ =198:\left(130-64\right)+1\\ =198:66+1\\ =3+1\\ =4\)
\(c,5^{20}:\left(5^{15}.15+5^{15}.10\right)\\ =5^{20}:\left[5^{15}.\left(15+10\right)\right]\\ =5^{20}:\left(5^{15}.25\right)\\ =5^{20}:\left(5^{15}.5^2\right)\\ =5^{20}:5^{17}\\ =5^3\\ =125\)