Number of positive integers `x` for which `f(x)=x^3-8x^2+20 x-13` is a prime number is______.

The number of positive integer solutions of 24x lt 100 is

n(R)={(x, x^(2))|x is a prime number less than 13} is

Let f(x)=x^(2)-ax+b , 'a' is odd positive integar and the roots of the equation f(x)=0 are two distinct prime numbers. If a+b=35 , then the value of f(10)=

Let f(x)=30-2x -x^3 , the number ofthe positive integral values of x which does satisfy f(f(f(x)))) gt f(f(-x)) is

The range of the relation r={(x, x^(2))| x is a prime number less than 13} is

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

The number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20 is

Find the cardinal number of the following sets. X = {x : x is an even prime number}.

The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set A={x|x^ 2+20lt=9x} is______.