I have observed a significant rendering inconsistency between MiTeX and native LaTeX regarding the positioning of subscripts and superscripts, particularly when involving primes (') and grouping braces {}.
In typst and mitex:
#import "@preview/mitex:0.2.6": mitex
$ v_epsilon.alt' $
$ v_(epsilon.alt^') $
#mitex(`v_\epsilon'`)
#mitex(`v_{\epsilon'}`)
#mitex(`v_{\epsilon^{'}}`)
$ x'''_t_1 $
$ x'''_(t_1) $
$ x^'''_(t_1) $
$ x^(''')_(t_1) $
$ x'''""_(t_1) $
#mitex(`x'''_{t_1}`)
#mitex(`x^{'''}_{t_1}`)
#mitex(`{x'''}_{t_1}`)
#mitex(`{x^{'''}}_{t_1}`)
In native LaTeX:
\usepackage{amsmath}
\usepackage{amssymb}
$ v_\epsilon' $
$ v_{\epsilon'} $
$ v_{\epsilon^{'}} $
$ x'''_{t_1} $
$ x^{'''}_{t_1} $
$ {x'''}_{t_1} $
$ {x^{'''}}_{t_1} $