Challenge Level

Five equations... five unknowns... can you solve the system?

Challenge Level

Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.

Challenge Level

Can you work through these direct proofs, using our interactive proof sorters?

Challenge Level

Can you find the maximum value of the curve defined by this expression?

Challenge Level

Can you solve this problem involving powers and quadratics?

Challenge Level

Can you find out what numbers divide these expressions? Can you prove that they are always divisors?

Challenge Level

Can you prove our inequality holds for all values of x and y between 0 and 1?