I'm always unimpressed with how these geniuses can solve all the math problems posed to them in these hagiographies (whether Bill Gates or the flavor of the mon

I'm always unimpressed with how these geniuses can solve all the math problems posed to them in these hagiographies (whether Bill Gates or the flavor of the month). Every math book past sophomore level is full of unsolved problems that have bested the brightest minds for centuries or longer. I'm always curious just how do these geniuses define a math problem?