In this feature you will be challenged to exploit the symmetries of a range of equations to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult.

Challenge Level

Solve the equations to identify the clue numbers in this Sudoku problem.

Challenge Level

Five equations and five unknowns. Is there an easy way to find the unknown values?

Challenge Level

Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

Challenge Level

What do you get when you raise a quadratic to the power of a quadratic?

Challenge Level

Observe symmetries and engage the power of substitution to solve complicated equations.

Challenge Level

Can you solve the system of equations to find the values of x, y and z?