jmc

The sum of the coefficients in the polynomial $-2(x^7-x^4+3x^2-5)+4(x^3+2x)-3(x^5-4)$ is $-2(1-1+3-5)+4(1+2)-3(1-4)=(-2)\cdot (-2)+4\cdot 3-3\cdot (-3)=\boxed{25}$. (The sum of the coefficients in a polynomial can be found by setting the variable equal to 1.)