Y by Adventure10, Mango247
Do these problems fast. If you get two other people to do with you, that's even better as well. 
R1 - 1. The product of five consecutive positive integers is divisible by both 13 and 31. If that product is as small as possible, compute the smallest of the five integers.
R1 - 2. Let
and let
.
Compute the value of
.
R1 - 3. Three vertices of a cube are connected to form a triangle. Compute the maximum possible perimeter of this triangle if the edge of the cube is
.

R1 - 1. The product of five consecutive positive integers is divisible by both 13 and 31. If that product is as small as possible, compute the smallest of the five integers.
R1 - 2. Let


Compute the value of

R1 - 3. Three vertices of a cube are connected to form a triangle. Compute the maximum possible perimeter of this triangle if the edge of the cube is
