Can you find the anagrams of the following words?

COAGULATE
CAVITATES
BACTERIAL
BALANCERS
HEADLAMPS
MILESTONE
TELEPHONY
DIGNIFIES
UNNOTICED

A long train, half a kilometre long, is about to enter a long tunnel. The tunnel is 10k long. If the speed of the train is 35kph, how long will it take for the entire train to pass through the tunnel - from the front of the train entering to the end of the train leaving the tunnel?

Messrs Butcher, Baker, Carpenter and Plumber are currently attending another convention. No-one is currently, nor ever has been in the same profession as their name and no-one has had the same profession twice. Alan is now a butcher, whereas Mr Brian Butcher used to be a baker. The person who is now a carpenter used to be a butcher. Charlie has never been a baker, Mr Darren Carpenter has never been a butcher and Mr Baker is not now a carpenter. Can you determine their full names, along with their current and previous professions?

Using all of the letters A to Z, each once only, complete these words:

ban*
*a*i*et
*aiz*
s**th
na*e*
*eco*
*ocu*
*la*e
**nk
f*x
be**re
e*ui*
ot*er
wis*
*oast

What does this equation simplify to?

(x - a) * (x - b) * (x - c) * ... * (x - z) = ?