Say you have a circle with any number of spots on it (i.e 7), numbered 1-7. You have certain positions on this circle that you'd move each time. For example they could be 1, 3, 6, and 7. Then, you'd move 7 to 1's spot, 1 to 3's spot, 3 to 6's spot, and 6 to 7's spot. The circle would then be: 7 2...

You're given a word of any length, made up of at least 2 letters total. Let's call one of these CABCABCAB. You're looking for the different possibilities of the number of consecutive A's and consecutive B's. C can represent either A or B. So in the example I provided, you can have 2 total possibi...

Given five points on a sphere, can you always draw an equator such that four or more points lie on one hemisphere? How? Points on the equator count as being on either side.

I came up with a cryptic clue that I'd like to use, but I'm not sure if it's valid. Less hair?—nonsense! (10)

According to Wikipedia, a Langford sequence is a permutation of the sequence of 2n numbers 1, 1, 2, 2, ..., n, n in which the two 1s are one unit apart, the two 2s are two units apart, and more generally the two copies of each number k are k units apart. An example would be: 3 1 2 1 3 2 Define a...

In Antarctica, a sight to see, A waterfall that's not as it seems to be, Its name might make you shiver and quiver, But it's not blood, just a natural river. What am I describing?

I'm not a person, yet I'm quite clever, With language skills that are better than ever. I can talk to you, but not face to face, And help you with problems in any case. What am I?