  We present a useful technique of proving strong $\mathfrak{c}$-algebrability.
As an outcome we obtain the strong $\mathfrak{c}$-algebrability of the
following sets of functions: strong Sierpi\'nski-Zygmund, nowhere H\"older,
Bruckner-Garg, nowhere monotone differentiable, a certain Baire class, smooth
and nowhere analytic functions.
