import random

N = 100

def genere(nb):
    assert nb in (0, 1, 2)
    a = 0
    if nb == 0:
        while True:
            a, b, c = (random.randint(-20, 20)/5 for _ in range(3))
            if a == 0:
                continue
            if b ** 2 - 4 * a * c < 0:
                return ((a, b, c), ())
    if nb == 1:
        while a == 0:
            a, alpha = (random.randint(-5, 5) for _ in range(2))
        return ((a, -2*a*alpha, a*alpha**2), (alpha, ))
    if nb == 2:
        x1 = x2 = 0
        while a == 0 or x1 == x2:
            a, x1, x2 = (random.randint(-10, 10)/2 for _ in range(3))
        return ((a, -a*(x1+x2), a*x1*x2), (x1, x2))

questions, reponses = zip(*[
    genere(random.randint(0, 2))
    for _ in range(N)
    ])

def format_nombre(n):
    string = str(n).replace(".", ",")
    if string.endswith(",0"):
        return string[:-2]
    if string.endswith(",00"):
        return string[:-3]
    if string.endswith(",000"):
        return string[:-4]
    return string

def xcarre(a):
    if a == 1:
        return r"x^2"
    if a == -1:
        return r"-x^2"
    return r"{}x^2".format(format_nombre(a))

def xsimple(b):
    if b == 1:
        return "+x"
    if b == 0:
        return ""
    if b == -1:
        return "-x"
    if b < 0:
        return r"{}x".format(format_nombre(b))
    return r"+{}x".format(format_nombre(b))

def constante(c):
    if c == 0:
        return ""
    if c > 0:
        return "+{}".format(format_nombre(c))
    return format_nombre(c)

for a, b, c in questions:
    print(r"\item ${} {} {}$".format(xcarre(a), xsimple(b), constante(c)))

for racines in reponses:
    if len(racines) == 0:
        print(r"\item Pas de racines.")
    if len(racines) == 1:
        print(r"\item Une seule racine : ${}$.".format(format_nombre(racines[0])))
    if len(racines) == 2:
        print(r"\item Deux racines : ${}$ et ${}$.".format(format_nombre(racines[0]), format_nombre(racines[1])))