c_1, c_2, x_1, x_2, x_3, x_4, x_7, 
25*c_2*x_1+3*x_2^2
25*c_1*x_1-6*x_2^2
10*x_1*x_7+x_2
2500*c_1^2*x_1^3*x_3-250*c_2*x_1^2*x_2+25*x_1*x_2^2*x_4-3*x_2^4
