Headscratcher Crossword

[AllyLally]

Hoping some clever clogs out there can help me with the last few clues of this crossword;

7ac Conduct a book circle (5) B-i--

13ac Norway follows Germany in moving more up-to-date (6) --d--- (not sure why, but could this be modern?)

17ac The new slave to the Russian leader carries the tray (6) s---e- (server?)

20ac The second show with striptease was a great success (3) --t (hit?)

6d Rock group "Genius in Torment" is all about love (7) ---e--s (Genesis?)

12d After the last lap disaster avoid the opening event (7) -----de

13d After the first minute a repaired chain finally broke the contraption (7) -----n- (machine?)

Thank you for your brainpower!

[bibblebub]

7a) bring
13a) yes - put N after an anagram of 'more' with D in the middle
17a) salver = anagram of 'slave' + R(ussian)

[frugalfred]

17a salver (slave + R)

[bibblebub]

6d) igneous = anagram of 'genius' out side of O

[frugalfred]

13d yes machine

[bibblebub]

13d) yes - m(inute) + anagram of 'chain' + (brok)e

[frugalfred]

12d prelude

[bibblebub]

20a) yes - s(econd) + (w)it(h) i.e. 'with' stripped of its outer letters

[AllyLally]

Thank you very much - you are all very clever people .. makes me feel very thick, seeing the ease and speed with which you have solved these!

last two;

12ac -- letters are now -r-l-de.Obviously "prelude", but again, why?

20ac h-t is either hit or hot?

[AllyLally]

Still slightly baffled;

12d got that "elude" is to avoid, and "p" is the last letter of "lap" but where does the "r" come from?

[Mamyalynne]

12d After the last la(P) disaste(R) avoid (ELUDE)the opening event


20ac The second s(H)ow w(IT)h striptease was a great success

[AllyLally]

Aaaahhh! Now I understand. Thank you!