Advanced General Mathematics Challenge

Popular Questions InAdvanced General Mathematics Challenge

If `x + 1/x = 3`, what is the value of `x^4 + 1/x^4`?

What is the remainder when `7^100` is divided by 5?

A cube has a total surface area of `150 cm^2`. What is its volume?

A bag contains 3 red marbles and 4 blue marbles. If two marbles are drawn from the bag without replacement, what is the probability that both marbles are red?

If `f(x) = 2x - 3` and `g(x) = x^2 + 1`, what is the expression for the composite function `g(f(x))`?

If `log_2(x) + log_2(x - 2) = 3`, what is the value of `x`?

The sum of the first `n` terms of an arithmetic progression is given by the formula `S_n = 2n^2 + 3n`. What is the common difference of this arithmetic progression?

If `tan(x) = 3/4` and the angle `x` is in the third quadrant, what is the value of `sin(x)`?

If `A = [[2, 1], [3, 4]]` and `I` is the `2x2` identity matrix, what is the determinant of `A - 3I`?

If `z = 1 - i` is a complex number, what is the value of `z^4`?