Some cages are regular killer cages, some multiples of the numbers in the cages while a couple are differences between values in the two cells; cages which overlap two nonets can have repeated numbers.
Prelims
a) R4C34 = {18/27/36/45}, no 9
b) R45C8 = {19/28/37/46}, no 5
c) R6C56 = {39/48/57}, no 1,2,6
d) R7C56 = {18/27/36/45}, no 9
e) R89C7 = {19/28/37/46}, no 5
f) R9C23 = {16/25/34}, no 7,8,9
g) R7C89 = 18x(2) cage = 1x2x3x3 = {29/36}
h) R89C6 = 8x(2) cage = 1x2x2x2 = {18/24}
i) 60x(3) cage at R1C6 = 1x2x2x3x5 = {256/345}
j) 15x(3) cage at R1C9 = {135}
k) 108x(3) cage at R3C7 = 1x2x2x3x3x3 = {269/349}
l) 96x(3) cage at R3C9 = 1x2x2x2x2x2x3 = {268/348}
m) 10x(3) cage at R6C7 = {125}
n) 60x(3) cage at R8C5 = 1x2x2x3x5 = {256/345}
o) 720x(4) cage at R6C2 = 1x2x2x2x2x3x3x5 = {2589/3568/4459}, no 1,7
Note that the 14(4) cage at R2C3, which would be in prelims for regular killers, may include repeated numbers.
1a. 45 rule on N9 3 innies R7C789 = 10 can only be {136} -> R7C7 = 1, R7C89 = {36}, locked for R7 and N9, clean-up: no 8 in R7C56, no 4,7,9 in R89C7
1b. Naked pair {28} in R89C7, locked for C7 and N9 -> R6C78 = [52], clean-up: no 8 in R45C8, no 7 in R6C56, no 6 in 108x(3) cage at R3C7
1c. Killer pair 2,4 in R7C56 and 60x(3) at R8C5, locked for N8
1d. Naked pair {18} in R89C6, locked for C6 and N8, clean-up: no 4 in R6C5
1e. Naked triple {135} in 15x(3) at R1C9, locked for N3
1f. Naked pair {49} in R3C78, locked for R3, N3 and 108x(3) at R3C7 -> R4C7 = 3, clean-up: no 6 in R4C34, no 7 in R45C8, no 4 in 96x(3) cage at R3C9
1g. Naked pair {67} in R12C7, locked for C7 and N3 -> R1C8 = 8, R3C9 = 2
1h. Naked pair {68} in R45C9, locked for N6, 6 locked for C9 -> R7C89 = [63], clean-up: no 4 in R45C8
1i. Naked pair {15} in R12C9, locked for C9 and N3 -> R2C8 = 3
1j. Naked pair {19} in R45C8, 9 locked for C8 and N6 -> R3C78 = [94], R5C7 = 4, R6C9 = 7
1k. 60x(3) cage at R1C6 = {256/345}, 5 locked for C6 and N2, clean-up: no 4 in R7C5
1l. 2-(2) at R6C3 = {13/46/68}, no 9
1m. Combined cages 2-(2) at R6C3 and R6C56 = {13}{48}/{46/68}{39}, 3 locked for R6
1n. 60x(3) cage at R8C5 = {256/345}, 5 locked for N8, clean-up: no 4 in R7C6
1o. Naked pair {27} in R7C56, locked for R7 and N8, clean-up: no 6 in 60x(3) cage at R8C5
1p. Naked triple {345} in 60x(3) cage, 3 locked for N8 -> R78C4 = [96], clean-up: no 4,8 in R6C3
1q. Naked triple {458} in R7C123, locked for N7, clean-up: no 2,3 in R9C12
1r. Naked pair {16} in R9C23, locked for N7, 1 locked for R9 -> 8x(3) cage at R8C6 = [18], R89C7 = [82]
1s. 2-(2) cage at R5C3 = {13/35/57}/[97] (cannot be [86] which clashes with R5C9), no 2,6,8
1t. 9 in C6 only in R456C6, locked for N5, clean-up: no 3 in R6C6
1u. 6 in R6 only in R6C123, locked for N4
1v. 720x(4) cage at R6C2 = {2589/3568/4459}, 5 locked for N7
1w. 8 of {2589/3568} must be in R7C23 -> no 8 in R6C2
2a. 9 in N2 only in 16(3) cage at R1C4 = {169/349}, no 2,7,8
2b. 1 of {169} must be in R1C4 -> no 1 in R12C5
2c. Killer pair 3,6 in 16(3) cage and 60x(3) cage, locked for N2
2d. R2C3 + R3C23 cannot total 7 = {124} because 2,4 only in R2C3 -> no 7 in R2C4
2e. 7 in N2 only in R3C45 = {17/78}, 7 locked for R3
2f. 18(4) cage at R3C4 = 8+10/15+3 = {17}{28}/{17}[46]/{17}[73]/{78}{12}, no 5,6 in R4C5, no 5,7 in R5C5
2g. 5 in N5 only in R45C4, locked for C4
2h. 8 in N2 only in R2C4 + R3C34, CPE no 8 in R3C23 (since 14(4) cage at R2C3 cannot repeat 8)
2i. Combined cages 16(3) + 60x(3) = 1{69}{345}/{349}{256}, 4 locked for N2
2j. 2-(2) at R6C3 (step 1l) = {13}/[68] (cannot be [64] which clashes with R6C2 + R6C6, killer ALS block), no 4
2k. Killer pair 3,8 in 2-(2) at R6C3 and R6C5, locked for R6
3a. 16(3) cage at R1C4 (steps 2a, 2b) = 1{69}/{349}, 60x(3) cage at R8C5 = {256/345}, R3C45 (step 2e) = {17/78}, 18(4) cage at R3C5 (step 2f) = {17}{28}/{17}[46]/[71][73]/{78}{12}
3b. Consider permutations for R6C56 = [39/84]
R6C56 = [39] => blocks 16(3) cage = {349} + 60x(3) cage which have {3459} in R1289C5 => 16(3) cage = 1{69} => R3C45 = {78} = 15, R45C5 = 3 = {12}
or R6C45 = [84]
-> 18(4) cage = [71][73]/{78}{12}, no 4,6,8 in R45C5
3c. R12C5 = {69} (hidden pair in C5), 6 locked for N2, R1C4 = 1, R12C9 = [51], 60x(3) cage at R1C6 = {345}, 3,4 locked for C6, R3C45 = {78} -> R45C5 = {12}, 2 locked for C5 and N5 -> R7C56 = [72], R3C45 = [78], R6C56 = [39], R6C4 = 8 -> R6C3 = 6, R45C4 = [45] (hidden pair in N5), R4C3 = 5, R5C3 = {37}, R9C23 = [61], R9C4 = 3
4a. R6C2 = 4 -> 720x(4) cage at R6C2 = {4459} (only remaining combination) -> R7C23 = [54], R8C3 = 9, R679C1 = [187]
4b. R2C4 = 2 (cannot repeat in 14(4) KenKen cage because R2C3 in same row) -> R2C3 + R3C12 = 12 = {138} (only remaining combination) -> R2C3 = 8, R3C23 = [13], R3C6 = 5, R3C1 = 6
4c. R12C1 = [45] (hidden pair in C1), R3C1 = 6 -> R2C2 + R4C1 = 9 = [72]
and the rest is naked singles.