Find all integers $$ a,b,c $$ satisfying $$1<a<b<c$$ such that $$(a-1)(b-1)(c-1)$$ is a divisor of $$abc-1$$. Find the number of ordered pairs $$(x,y)$$ of positive integers which satisfy $$xy=27027$$. The integer $$N$$ consists of 2017 consecutive nines. A computer calculates $$N^3 = (999 ....

STEM (Science, Technology, Engineering and Math) education is more important than ever in schools. However, many students and parents aren't sure why it needs to be encouraged in pupils of all ages. Here's why educators need to be focusing on STEM subjects more than ever. People...