  The dynamics of the Universe are revised using high-redshift data from
gamma-ray bursts to constrain cosmographic parameters by means of
model-independent techniques. Considering samples from four gamma-ray burst
correlations and two hierarchies up to $j_0$ and $s_0$, respectively, we
derived limits over the expansion history of the Universe. Since cosmic data
span outside $z\simeq0$, we investigated additional cosmographic methods such
as auxiliary variables and Pad\'e approximations. Bezi\'er polynomials were
employed to calibrate our correlations and heal the circularity problem.
Several Markov chain Monte Carlo simulations were performed on the
model-independently calibrated Amati, Ghirlanda, Yonetoku, and combo
correlations to obtain $1$--$\sigma$ and $2$--$\sigma$ confidence levels and to
test the standard cosmological model. Reasonable results are found up to $j_0$
and $s_0$ hierarchies, respectively, only partially alleviating the tension on
local $H_0$ measurements as $j_0$ hierarchy is considered. Discussions on
systematic errors have been extensively reported here. Our findings show that
the $\Lambda$CDM model is not fully confirmed using gamma-ray bursts.
Indications against a genuine cosmological constant are summarized and
commented on in detail.
