You’re shopping Puzzling.SE when all of a sudden you uncover a large conspiracy. The posters of the “Security to the Party” questions are simply posting 7 or 8 random numbers after which accepting the second or third reply which explains the information.

Infuriated, you try to interrupt into the Dark Puzzlers Chat. However, there’s a guard, et cetera.

A puzzler arrives. The guard says 1 5 2 1 4 3 8, and she or he replies 10 2 6.

A second puzzler seems. The guard says CODREEF, and he replies PSF.

A 3rd puzzler arrives. The guard says 1.3 2.0 1.6 1.8 2.2 2.3 2.4, and the puzzler replies 2.0 2.6 2.6.

For the fourth puzzler, the guard says 6, 3x^2+1, 6x+8, 6(x+6)^2, (x+1)(3x+5), sin(x)/x, (x+1)^2(x+2). The puzzler complains that the final one is inconceivable and leaves in a huff.

Obviously, you have heard sufficient, as a result of anybody can work out any sample after 4 examples. You strategy the guard.

The guard says Bleach as wanted, Doctor Whooves's cutie mark, Play video, Infinity, Give approach to site visitors, Cancer horoscope, Normal subgroup. What must you reply?