18 problems.
- Intersection point of the two branches of \(x^y=y^x\) — Problem 1A
- Grönwall’s inequality — Problem 2A
- Convergence of the iteration \(x_{n+1}=1/(1+x_n)\) — Problem 3A
- Roots of \(z^5-6z+3\): distinct, exactly three real — Problem 4A
- Evaluation of \(\int_0^{2\pi}\cos x/(2+\cos x)\,dx\) — Problem 5A
- Conjugation-invariant quadratic forms on \(2\times2\) complex matrices — Problem 6A
- Diagonalizability of sums, products, idempotents and square roots of matrices — Problem 7A
- Ring elements with several right inverses are exactly the right-invertible nonunits — Problem 8A
- Nontrivial second center and a derived series with four distinct terms — Problem 9A
- Convergence of \(\sum n^a(\log n)^b\) — Problem 1B
- Metric spaces are connected exactly when real-valued continuous images are intervals — Problem 2B
- Integrability of \(\int_x^1 f(t)/t\,dt\) for integrable \(f\) — Problem 3B
- Evaluation of \(\int_{-\infty}^{\infty} x\sin x/(x^2+1)\,dx\) — Problem 4B
- Holomorphic self-maps of a bounded domain tangent to the identity have \(a_2=0\) — Problem 5B
- A product of two real \(2\times2\) involutions with eigenvalues \(2\) and \(1/2\) — Problem 6B
- Invertibility of \(I_m-AB\) implies invertibility of \(I_n-BA\) — Problem 7B
- \(561\) is a Carmichael number — Problem 8B
- Number of irreducible sextics over \(\mathbb F_3\) — Problem 9B