130a. Outer bracts leaf-like, serrate, 3-8 cm. long (4-15 dm. high) =Bur Marigold, Bidens comosa.= 130b. Outer bracts 1-2.5 cm. long (2-15 dm. high) --131. 131a. Heads nodding after flowering =Bur Marigold, Bidens cernua.= 131b. Heads permanently erect =Bur Marigold, Bidens connata.= 132a. Heads small, seldom more than 1 cm. wide, including the rays, blooming in late summer and autumn; flowers numerous, crowded in spikes, racemes, corymbs, or panicles (Goldenrod) --133. 132b. Heads medium size or large, more than 1 cm. and usually exceeding 2 cm. in width, including the rays --165. 133a. Heads chiefly in clusters or short racemes in the axils of ordinary foliage leaves, or occasionally the upper compacted into a leafy cluster terminating the stem --134. 133b. Heads crowded at or near the ends of the branches at about the same distance from the base of the panicle, forming a rounded or flat-topped inflorescence --140. 133c. Heads more or less uniformly distributed along the length of the branches, forming a cylindrical or pyramidal inflorescence, never flat-topped --146. 134a. Stem and both sides of the leaves more or less pubescent or rough (4-10 dm. high) --135. 134b. Stem and both sides of the leaves essentially smooth or with very short hairs (3-10 dm. high) --136. 135a. Rays white =Goldenrod, Solidago bicolor.= 135b. Rays yellow =Goldenrod, Solidago hispida.= 136a. Basal leaves abruptly narrowed to winged petioles --137. 136b. Basal leaves not abruptly narrowed to winged petioles --138. 137a. Involucre 2-5 mm. long =Goldenrod, Solidago latifolia.= 137b. Involucre 8-12 mm. long =Goldenrod, Solidago macrophylla.= 138a. Lower leaves broadly oval, obtuse, thickish, crenate; achenes glabrous =Goldenrod, Solidago erecta.= 138b. Lower leaves lanceolate, acuminate, thin, sharply serrate; achenes hairy --139. 139a. Stem usually simple; heads few in very small clusters =Goldenrod, Solidago caesia var. axillaris.= 139b. Stem usually diffusely branched; heads numerous =Goldenrod, Solidago caesia.= 140a. Lower leaves ovate, oblong, or oval, pinnately veined (5-15 dm. high) --141. 140b. Lower leaves linear-lanceolate. 3-5-veined (3-12 dm. high) --142. 141a. Stem and leaves rough-hairy =Goldenrod, Solidago rigida.= 141b. Stem and leaves smooth =Goldenrod, Solidago ohioensis.= 142a. Heads very few in a small cluster; leaves few and scattered =Goldenrod, Solidago houghtonii.= 142b. Heads very many, in a large cluster; stem very leafy --143.