\(a,50+\left(-12\right)+\left(-30\right)+12=50-12-30+12=\left(50-30\right)+\left(12-12\right)=20+0=20\\ b,10^7:10^6-3^2.5=10^{7-6}-9.5=10-45=-35\\ c,514-4\left\{\left[40+8\left(6-3\right)^2\right]-12\right\}=514-4\left[\left(40+8.3^2\right)-12\right]=514-4\left(40+72-12\right)=514-4.100==514-400=114\)