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Monday Mutant 67: Pearls of Wisdom (alternate truths/lies)

In this Pearls of Wisdom puzzle, some of the pearls are lying, and are the wrong color (that is, the pearl is black when it should be white, or vice versa). The loop must alternate between lying pearls and truthful pearls. The rules are otherwise unchanged.

Monday Mutant 66: Polyominous (nonconsecutive)

In this Polyominous puzzle, no two horizontally or vertically adjacent cells may contain two consecutive numbers. The rules are otherwise unchanged.
MellowMelon experimented with these rules a while back; here's my take.

On a completely unrelated note, check out this mind-blowingly fast Rubik's Cube video!

Monday Mutant 65: Cross the Streams

Shade in some cells black such that the black cells are all connected to each other through their edges, and no 2x2 cell area within the grid contains all black cells. Numbers to the left of a row or above a column represent the groups of consecutive black cells which are in that row or column. For example, a clue of "3" means the row or column has three consecutive black cells, and a clue of "3 1" means that the row or column has a group of three consecutive black cells followed by a single black cell, separated by at least one white cell. A question mark (?) represents a group of consecutive black cells whose size is unknown; an asterisk (*) represents any number of unknown groups of black cells, including none at all.
Gotta love Cross the Streams.

Monday Mutant 64: Crowd Nine (equations)

In this Crowd Nine puzzle, all of the outlined equations, when read from left to right or from top to bottom, must be true when the grid is filled in. Perform operations in reading order (for example, 3-1+2 is 4, not 0, and 1+2×3 is 9, not 7). The rules are otherwise unchanged.
This puzzle was written as a follow-up to Monday Mutant 62, which was in turn a response to a puzzle submitted by a reader. The previous puzzle had symmetrical givens; this one goes a step further by having none at all.

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