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Keyed in multiple places:

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Key O: herbaceous dicots with alternate, compound leaves on the stem

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1 Leaves either 3-foliolate or palmately 4-11-foliolate (all the leaflets attached at a common point, or the leaflets slightly pedate in Helleborus foetidus in RANUNCULACEAE).
  2 Inflorescence an involucrate head subtended by phyllaries, the heads solitary or many and variously arrayed in secondary inflorescences, the ovary inferior, the corolla connate and tubular at least basally, the calyx absent, the stamens 5, the fruit a cypsela
  2 Inflorescence, flower, and fruit structure various, but not with the combination of features as above. {add under 2b [Cynosciadium] APIACEAE}
    3 Leaflets obviously and sharply serrate; pistils 1 or 5-many; fruit an achene, or an aggregate of achenes, drupelets, or follicles.
      4 Leaflets 7-11, slightly pedate in their arrangement, evergreen
        5 Pistils 5-many; fruit an aggregate of achenes, drupelets, or follicles
    3 Leaflets entire, finely denticulate, or very obscurely toothed (or irregularly serrate or lobed in Cardamine in BRASSICACEAE); pistil 1; fruit simple, a legume, capsule, silique, or berry.
          6 Corolla bilaterally symmetrical; petals 5; fruit a legume; carpel 1
          6 Corolla radially symmetrical; petals 4 or 5; fruit either an elongate capsule or a berry; carpels 1, 2, or 5.
             7 Leaflets radially arranged at the summit of the petiole, not differentiated in size or placement into a terminal leaflet and 2 lateral leaflets; leaflets prominently notched at the apex; petals 5, yellow; inflorescence axillary, cymose or umbelliform; carpels 5
             7 Leaflets differentiated in size and placement into a terminal leaflet and 2 or more lateral leaflets; leaflets not regularly notched at the apex (a few may be slightly retuse); petals 4, white, pink, or yellow; inflorescence terminal and racemose; carpels 1 or 2.
               8 Carpels 2; fruit a red berry; petals connate, purplish-blue
               8 Carpel 1; fruit a capsule; petals separate, white, pink, or yellow.
                 9 Stem leaves 1-3, alternate [or whorled or opposite]; leaflets 3, irregularly serrate, lacerate, or additionally divided or lobed; fruit a silique; carpels 2
                 9 Stem leaves >3, alternate; leaflets (1-) 3-7, each entire or obscurely toothed; fruit a capsule; carpel 1
1 Leaves either 1-pinnately compound (all leaflets attached to a central rachis) or more complexly compound (with several orders of branching, some leaflets at least attached to second-order branches from the rachis).
                   10 Inflorescence an involucrate head subtended by phyllaries, heads solitary or many, variously arrayed in secondary inflorescences; fruit a cypsela; ovary inferior
                   10 Inflorescence various, but not as above; fruit various, not as above; ovary superior.
                     11 Leaves 1-pinnately compound (all leaflets attached to a central rachis).
                       12 Flowers bilaterally symmetrical, papilionaceous; fruit a legume; leaves even-pinnately or odd-pinnately compound, the terminal leaflet sometimes replaced by a tendril; leaflets entire or at most minutely denticulate
                       12 Flowers radially symmetrical (or barely bilaterally symmetrical in Erodium in GERANIACEAE); fruit a capsule, capsular but of 5 mericarps, or an aggregate of achenes, nutlets, or follicles (in some cases the # of pistils from many down to 2 or even 1); leaves odd-pinnately compound, never with tendrils; leaflets serrate (or entire to shallowly lobed in Polemonium in POLEMONIACEAE, Cardamine in BRASSICACEAE, and Floerkea in LIMNANTHACEAE).
                          13 Pistils many (only 1-2 in Agrimonia, Poteridium, Poterium, and Sanguisorba); fruit an aggregate of achenes, nutlets, or follicles; hypanthium present; stamens 5-many (only 4 in Poteridium and Sanguisorba)
                          13 Pistil 1 (or deeply 2-3-lobed in Floerkea in LIMNANTHACEAE); fruit a silique, capsule, schizocarp of 2-3 mericarps, or a capsular schizocarp of 5 mericarps (Erodium in GERANIACEAE); hypanthium absent; stamens 3-6.
                              15 Petals 5, fused (distinct in Erodium in GERANIACEAE); stamens 5; inflorescence axillary or terminal, cymose, consisting of subcapitate, umbel-like, or helicoid cymes; fruit either a capsule, or a capsular schizocarp of 5 mericarps (Erodium in GERANIACEAE).
                                16 Flowers slightly bilaterally symmetrical (2 of the petals of different size than the other 3); fruit a capsular schizocarp of 5 mericarps; carpels 5
                                16 Flowers radially symmetrical; fruit either a loculicidal capsule or a berry; carpels 2 or 3.
                     11 Leaves more complexly compound (with 2 or more orders of branching, some leaflets at least attached to second-order branches from the rachis).
                                       19 Leaves either 2× odd-pinnate or more complexly 2-4× ternately or ternately-pinnately compound; flowers in various inflorescences; fruits various (not legumes or loments).
                                           21 Inflorescence either a terminal solitary flower or terminal raceme or panicle; ovary superior, either of 2 fused carpels or of 1-5or many distinct 1-carpellate pistils; fruit either a capsule or an aggregate of follicles or achenes.
                                             22 Ovary of 1-5or many distinct 1-carpellate pistils; fruit an aggregate of follicles or achenes
                                                 24 Leaflets sharply serrate, with usually many teeth on each leaflet side, the total number of “points” per leaflet > 10.
                                                 24 Leaflets entire, or with 1-several, broad, obtuse, rounded, or broadly acute “sublobes”, especially towards the tip of the leaflet, the total number of “points” per leaflet < 10.
                                                            29 Perianth of 4-5 whorls of 3 parts each (some of the whorls modified into nectaries); pistil 1, 1-carpellate; fruit a drupelike, blue, naked seed; largest leaflets > 6 cm long, obviously longer than wide
                                                            29 Perianth of 1 whorl; of 4-5 parts; pistils many, each 1-carpellate; fruit an aggregate of achenes or an aggregate of follicles; largest leaflets either < 6 cm long, or if longer than 6 cm, also about as wide as long

Key to Asteraceae, Key E: herbaceous composites with leaves alternate or basal,
liguliflorous heads (composed of ligulate florets), and sap usually milky

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1 Cypselae (at least of the inner florets of the head) beaked, the beak usually > ½ the length of the cypselae body.
  2 Heads solitary and terminal at the end of a stem unbranched to its base.
    3 Flower color pink to purple or white
    3 Flower color yellow to yellowish-white.
      4 Leaves basal and cauline, grasslike (untoothed and unlobed); stem leafy
      4 Leaves basal only, variously toothed to pinnately lobed; stem scapiform (leafless).
        5 Pappus either of outer scales and inner bristles or entirely of aristate scales.
          6 Pappus of outer scales and inner plumose bristles; leaves oblanceolate to oblong; plants annual or perennial
  2 Heads several per stem, in various corymbiform, umbelliform, spiciform, or paniculiform arrays (rarely solitary and terminal in the smallest and most depauperate individuals in a population.
             7 Achenes distinctly flattened or compressed.
               8 Florets (6-)10-50+ per head
                 9 Plants taprooted annuals or biennials, without rhizomes
                 9 Plants rhizomatous perennials, the rhizomes deeply rooted in the substrate
                   10 Pappus of plumose bristles, at least the inner series; plant an annual or biennial.
                   10 Pappus of simple capillary bristles; plant an annual, biennial, or perennial.
                       12 Beak of the cypsela with a ring of soft white reflexed hairs at the summit (just below the pappus)
                       12 Beak of the cypsela lacking a ring of hairs as described.
                          13 Pappus either of 40-50 (or more) smooth bristles or of 20-30 barbellulate bristles; plant a perennial
1 Cypselae beakless, the apex typically rounded or truncate (sometimes tapered but lacking a distinct beak and conspicuously < ½ the length of cypselae body).
                              15 Leaves basally disposed (stem leaves few or none, if present generally smaller in size than the basal leaves, which are persistent into flowering and fruiting); corollas yellow, orange, or red.
                                  17 Heads solitary or 2-3; pappus absent, the cypselae never bearing scales or bristles; cypselae with 8-10 ribs (3-5 prominent); [waif, ne. US]
                                  17 Heads solitary; pappus present (occasionally absent in Krigia); cypselae with 10-20 ribs; [widespread natives]
                                    18 Pappus of 40-80 smooth to barbellulate bristles and sometimes a few subulate to setiform scales (but pappus never absent); [Great Plains, midwest US]
                                    18 Pappus absent, of scales, or of 5-45 bristles and 5+ scales; [collectively widespread]
                                         20 Leaves with entire margins; plants perennials, from short rhizomes, a short caudex with fibrous roots, or a thick taproot.
                                             22 Involucre 5-12 mm high; achenes usually > 2.5 mm long; pappus bristles distinct, 3-7 mm long
                              15 Leaves basal and cauline (plant often beginning with a basal rosette, but by flowering bearing well-developed stem leaves about as large as the basal leaves, the basal rosette often withering prior to flowering and fruiting); corollas yellow, orange, red, blue, pink, white, or lavender.
                                                        27 Cypselae 1.2-2.8 mm long; heads borne single at the ends of scapiform stems that are unbranched (rarely few-branched near the base); plants to 7 dm tall
                                                                 31 Leaves linear, entire, < 3 mm wide, or reduced to scales; cypselae 11-14 mm long; [of the Coastal Plain of GA and se. AL south to s. FL]
                                                                 31 Leaves broader, of various shapes, usually hastate, irregularly lobed, and/or serrate; cypselae 3.5-10 mm long; [collectively widespread in our area, south to n. FL]
                                                                     33 Plants taprooted annuals and biennials (rarely perennials); pappus bristles white and soft in texture
                                                                       34 Cypselae 1-2.5 mm long; pappus of 25-40+ white to sordid bristles, in 1 series; plants stoloniferous (cespitose in a few species); corollas yellow or orange