A proposed problems from American Math Monthly from Vol 119 NO.10 Dec 2012
117206
$|G|$ and $|{\rm Aut}(G)|$ are relatively prime $\Rightarrow$ $G$ should be cyclic?
13228
Proofs of AM-GM inequality
42923
A Book for abstract Algebra
14773
Finding distinct solutions for the equation
23451
The new introduced EulerMatrix problem
94179
Problems on Cyclotomic Polynomials
137931
Problem from "The Theory of Finite Groups" by Kurzweil and Stellmacher
87267
Conjecture similar to Fermat's Theorem.
136644
Cyclic Quadrilateral Problems
143573
Problem (1.8) A Path to Combinatorics Solution Verification.
26898
Trouble solving two number theoretical problems
140153
Conjectures Involving floor(x)/piecewise continuity with regards to Integration and Differential Equations
137232
Bounds for the Harmonic k-th partial sum.
86826
Almost a Vandermonde matrix
59419
Crafty solutions to the following limit
110167
A conjecture with connection to the $abc$-conjecture
69945
A PDE exercise from Gilbarg Trudinger. problem 2.2