A bicycle rollers device (10, 110), having a front and a back and comprising: (a) a frame including: (i) a rear roller mounting assembly (12,112) for two rear rollers; (ii) a front roller mounting assembly (14,114) for a front roller; and (iii) a central bridge assembly (16,116) connecting said front mounting assembly to said rear mounting assembly; (b) two rear rollers (32,34,132,134) mounted in said rear roller mounting assembly, and a front roller (30, 130) mounted in said front roller mounting assembly; (c) a set of wheels (40, 42, 44, 140,142,144) mounted on said frame so as to support said rollers above a surface upon which said wheels are set, said wheels permitting forward and rearward motion of said frame (112, 114, 116); and (d) a motion-resisting assembly, including: (i) wherein a first one (44,144) of said set of wheels is a motion-resisting wheel, having an axis of rotation and a first attachment element (66,166) displaced from said axis of rotation; (ii) a second attachment element (68,168) on said bicycle rollers device, longitudinally displaced from said first attachment element; and (iii) an elastic tension member, (64, 164) attached to said first attachment element and said second attachment element, wherein said motion-resisting wheel has a centered position in which said elastic tension member is at its shortest and wherein when said motion-resisting wheel rotates from said centered position said elastic tension member urges it toward its centered position. (a) a frame including: (i) a rear roller mounting assembly (12,112) for two rear rollers; (ii) a front roller mounting assembly (14,114) for a front roller; and (iii) a central bridge assembly (16,116) connecting said front mounting assembly to said rear mounting assembly; (i) a rear roller mounting assembly (12,112) for two rear rollers; (ii) a front roller mounting assembly (14,114) for a front roller; and (iii) a central bridge assembly (16,116) connecting said front mounting assembly to said rear mounting assembly; (b) two rear rollers (32,34,132,134) mounted in said rear roller mounting assembly, and a front roller (30, 130) mounted in said front roller mounting assembly; (c) a set of wheels (40, 42, 44, 140,142,144) mounted on said frame so as to support said rollers above a surface upon which said wheels are set, said wheels permitting forward and rearward motion of said frame (112, 114, 116); and (d) a motion-resisting assembly, including: (i) wherein a first one (44,144) of said set of wheels is a motion-resisting wheel, having an axis of rotation and a first attachment element (66,166) displaced from said axis of rotation; (ii) a second attachment element (68,168) on said bicycle rollers device, longitudinally displaced from said first attachment element; and (iii) an elastic tension member, (64, 164) attached to said first attachment element and said second attachment element, wherein said motion-resisting wheel has a centered position in which said elastic tension member is at its shortest and wherein when said motion-resisting wheel rotates from said centered position said elastic tension member urges it toward its centered position. (i) wherein a first one (44,144) of said set of wheels is a motion-resisting wheel, having an axis of rotation and a first attachment element (66,166) displaced from said axis of rotation; (ii) a second attachment element (68,168) on said bicycle rollers device, longitudinally displaced from said first attachment element; and (iii) an elastic tension member, (64, 164) attached to said first attachment element and said second attachment element, wherein said motion-resisting wheel has a centered position in which said elastic tension member is at its shortest and wherein when said motion-resisting wheel rotates from said centered position said elastic tension member urges it toward its centered position.