problems = {HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)(k^2 + 5 k + 7)], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)2^k k^5], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)k/((k + 1) (k + 3))], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)2^k/((k + 1) (k + 3))], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)(11^k) / (k + 3)!], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)k Sin[k]], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)3^(k - 1) Sin[x/3^k]^3], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)Log[k^2 + 3 k + 1]], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)PolyGamma[2, k]/k^3], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)(k + 5) HarmonicNumber[2 k + 1]],
HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)k Zeta[3, k + 2]], HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)k^2 LerchPhi[5, 2, k + 3]],
HoldForm[
\!\(\*UnderscriptBox["\[Sum]", "k"]\)(-u[k]^13 + u[k + 1]^13)]};