How can I generate some n-tuple random list of integers s.t. any component is between -30 and 50? For example if n=5 then four random of such 5-tuple are

[-1,2,8,7,9] , [0,-9,2,-3,-5] , [4,5,3,-8,-1] , [12, -5, 0, 6,8]

Let B=be a list.

How can I sort B as BB=?

Let

and f=

The elements of W are none zero. I want a procedure that return "true" if f is none zero w.r.t. W and return

"false" otherwise.

Which of Maple commands is better for computing the radical of a polynomial f (less time of computation and less complexity)?

For example if f=x^3+3x^2y+3xy^2+y^3 then rad(f)=x+y.

Let B is a list of polynomial conditions such that  are none zero. Consider one polynomial f. How can I detect that f is none zero w.r.t. B? For example if B=[a-1,b+2,b-c,ac-1] and f=a^2c-ac-a+1. From B we can conclude that a<>1 and b<>2 and b<>c and ac<>1. How can I deduce that f<>0 w.r.t. B automatically?