Meanwhile, Brendan Taylor scores twin tons but goes vain as Mehidy Hasan levels series.
Mahmudullah scored his first Test century in more than eight years as Bangladesh set Zimbabwe a towering 443-run target.
Zimbabwe were bowled out for 304 runs in the first innings of the second Test against Bangladesh on the third day in Dhaka on Tuesday.
Zimbabwe reached 25-1 at stumps after Bangladesh declared their first innings of the second Test at 522-7 on day two in Dhaka on Monday.
Mominul Haque, Mushfiqur Rahim score tons to give Bangladesh first-day honours.
Visitors register first Test victory since 2013 with 151-run win in opening match.
