1 #! ./run_exams --silent
3 symbol x("x"), y("y"), z("z");
8 if (!(s.diff(x)+2/pow(1+x,3)*(-2-x+pow(x,2))-(-1+2*x)/pow(1+x,2)).is_zero()) {
11 if (!(s.normal()-(-2+x)/(1+x)).is_zero()) {
16 ex EulerNumber(unsigned n)
19 const ex generator = pow(cosh(xi),-1);
20 return generator.diff(xi,n).subs(xi==0);
22 if (EulerNumber(42) != numeric("-10364622733519612119397957304745185976310201")) {
25 ex f = expand((x*y*z-1)*(x*y*z+3));
26 ex g = expand((x*y*z-1)*(x*y*z-3));
27 if (gcd(f, g) != x*y*z-1) {