There are not many teams that have bowled Australia out for 190 in the first innings.
Tom Westley was unbeaten on 58, to add to his 132 in the first innings.
Bangladesh wicketkeeper Mushfiqur Rahim was reprimanded for showing dissent when dismissed in the first innings.
The leg-spinner's career-best figures left the visitors, who were 311 behind after the first innings, on 147-7.
Asked to bat at six, Carlisle was the top-scorer in the first innings, left unbeaten on 20.
Tall left-handed opener Vandort had posted an elegant century to follow up his 52 in the first innings.
Australia wiped 13 runs off the 69-run deficit from the first innings by the close on day three.
The Board XI made Australia toil in the first innings in Hyderabad by amassing 455 to the tourists' 314.
Hannan Sarkar (59) and Habibul Bashar (58) cleared the first innings deficit with a second wicket stand of 108.
"We needed to score at least 300 runs in the first innings to make it competitive, " the wicket-keeper said.
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Cosker finished with six wickets including 4-10 as WP were reduced to 90 all out in the first innings.
The visitors were convinced South Africa captain Graeme Smith had been caught when on 15 during the first innings.
The partnership was 102, the same number made by the entire England team in the first innings at Headingley.
In the Premier league, Walsall scored 187-9 in the first innings against Shifnal with Brad Wilson (55) the top scorer.
Anderson and Hoggard captured three wickets each in the first innings, while spinner Monty Panesar took two in the second.
But Paul Collingwood, who had also struggled in the first innings, fared better on day two with an unbeaten 21.
Laxman, whose confidence must have been dimmed a little following his duck in the first innings, instantly looked composed and patient.
In addition to his first ball wicket on Sunday he hit a brisk 40, batting at number 11 in the first innings.
That left the Windies needing 457 to win, a small matter of 355 more than they had managed in the first innings.
But only Nic Pothas (39) offered prolonged support in the first innings before Hampshire's last four wickets went down for 22 runs.
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That brought Symonds to the crease at 18-5, and he looked in determined mood following his fine 70 not out in the first innings.
But Langer, who made 191 in the first innings, is now the highest run scorer in Tests in 2004 with 1, 426, including five centuries.
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And Neil Carter, the Bears' only man in double figures in the first innings, again weighed in with valuable runs, making a typically rapid 73.
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England's defeat at Headingley saw the selectors give Collingwood another chance, but that decision had looked ill-advised after another low score in the first innings.
"Johnson got a wicket after about 45 minutes in the first innings, he got the ball to swing and it opened the floodgates, " said Gooch.
Trailing by 206 runs after the first innings, Michael Hussey and Peter Siddle's stand of 123 helped Australia set Pakistan a target of 176 to win.
Johnson was again a menace to England, bowling with pace and swing to add two wickets to the superb haul of six from the first innings.
The first was Courtney Walsh for West Indies v Australia at Brisbane in 1988-89 (last ball of the first innings and the first two of the second).
Then Harmison had Daren Powell playing a ridiculous attempted pull straight up in the air - he had been dismissed in identical circumstances in the first innings.
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Riaz took 5-63 in the first innings of his debut and claimed seven wickets in total in his two Test matches, bowling seven wides and 13 no-balls.
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