flex
This page lists questions and answers that were posted by visitors named flex.
Questions
The following questions were asked by visitors named flex.
Outside of circle Γ, point A is chosen. Tangents AB and AC to Γ are drawn, with B,C on the circumference of Γ. On the extension of AB, D is a point such that B is between A and D, and ∠ADC=25∘. The circumcircle of ADC intersects Γ again at E (different fr...
12 years ago
Suppose θ is an angle strictly between 0 and π/2 such that sin5θ=(sin^5)θ. The number tan2θ can be uniquely written as a√b, where a and b are positive integers, and b is not divisible by the square of a prime. What is the value of a+b?
12 years ago
Find the largest possible integer n such that there exists a non-constant quadratic polynomial f(x) with integer coefficients satisfying f(1)∣f(2),f(2)∣f(3),…f(n−1)∣f(n). Details and assumptions: ~For (possibly negative or zero) integers m and k the notat...
12 years ago
There are 300 students at a local high school. On "All Students Exercise Day", Sam, the Physical Education instructor, wants them to line up in a perfect rectangular formation (same number of students in each row). However, there must be more than 1 stude...
12 years ago
Answers
The following answers were posted by visitors named flex.