problems = {HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\(f[k]\)\)], HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\(
\*SubscriptBox[\(\[Product]\), \(k\)]f[k]\)\)], HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]
\*SuperscriptBox[\(a\), \(k\)]\)], HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\((
\*FractionBox[\(
\*SuperscriptBox[\(k\), \(2\)] + 1\), \(k^3 + 1\)])\)\)], HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\((
\*FractionBox[\(Pochhammer[
\*SubscriptBox[\(a\), \(1\)], k] Pochhammer[
\*SubscriptBox[\(a\), \(2\)], k]\), \(Pochhammer[
\*SubscriptBox[\(b\), \(1\)], k] Pochhammer[
\*SubscriptBox[\(b\), \(2\)], k]\)])\)\)], HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\(CatalanNumber[k]\)\)],
HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\(BarnesG[k]\)\)],
HoldForm[\!\(
\*SubscriptBox[\(\[DiscreteRatio]\), \(k\)]\(QFactorial[k, q]\)\)]};