
Factor -v**4 - 15*v**3 - 19*v**2 + 87*v - 52.
-(v - 1)**2*(v + 4)*(v + 13)
Let -2*g**2/7 + 40*g/7 - 38/7 = 0. What is g?
1, 19
Factor -n**2/4 - 7*n/4 - 3.
-(n + 3)*(n + 4)/4
Suppose 2*a**4 - 52*a**3 - 1230*a**2 = 0. Calculate a.
-15, 0, 41
Suppose -7*t**5/3 - 87*t**4 - 2321*t**3/3 + 2417*t**2/3 + 1976*t + 1444/3 = 0. Calculate t.
-19, -1, -2/7, 2
Determine h, given that 76*h**4 + 144*h**3 + 60*h**2 - 8*h = 0.
-1, 0, 2/19
Factor q**4/6 + 25*q**3/6 + 11*q**2.
q**2*(q + 3)*(q + 22)/6
Factor 4*n**2 + 244*n.
4*n*(n + 61)
Factor 242*q**4/15 - 352*q**3/5 + 1328*q**2/15 - 128*q/5 + 32/15.
2*(q - 2)**2*(11*q - 2)**2/15
Factor -147*c**2/4 - 295*c/2 - 2.
-(c + 4)*(147*c + 2)/4
Let -30625*c**5 - 15750*c**4 - 1500*c**3 - 40*c**2 = 0. Calculate c.
-2/5, -2/35, 0
Factor -h**2/6 + h + 8/3.
-(h - 8)*(h + 2)/6
Find p such that 2*p**3 - 18*p**2 + 16*p + 120 = 0.
-2, 5, 6
Suppose -2*p**2 + 14*p + 16 = 0. What is p?
-1, 8
Factor 2*j**5/13 - 4*j**3/13 + 2*j/13.
2*j*(j - 1)**2*(j + 1)**2/13
Factor g**5/5 + 9*g**4/5 + 6*g**3/5 - 16*g**2/5.
g**2*(g - 1)*(g + 2)*(g + 8)/5
What is l in -16*l**5 - 36*l**4 + 8*l**3 + 36*l**2 + 8*l = 0?
-2, -1, -1/4, 0, 1
Suppose 14*w**4/11 - 3098*w**3/11 + 192670*w**2/11 - 2282686*w/11 + 636540/11 = 0. Calculate w.
2/7, 15, 103
Factor -2*b**3/9 + 2*b**2/9 + 4*b/3.
-2*b*(b - 3)*(b + 2)/9
Determine p, given that -129*p**4 + 393*p**3 - 18*p**2 - 516*p + 24 = 0.
-1, 2/43, 2
Solve 3*l**2/2 - 159*l - 324 = 0 for l.
-2, 108
Factor -g**2/6 + 67*g/2 + 101/3.
-(g - 202)*(g + 1)/6
Suppose -2*k**4 + 34*k**3 + 74*k**2 + 38*k = 0. Calculate k.
-1, 0, 19
Solve 3*r**2/7 - 6*r/7 + 3/7 = 0.
1
Factor -2*x**4 - 36*x**3 - 122*x**2 - 144*x - 56.
-2*(x + 1)**2*(x + 2)*(x + 14)
Factor -3*d**4 - 27*d**3 + 33*d**2 + 27*d - 30.
-3*(d - 1)**2*(d + 1)*(d + 10)
Solve 4*j**3 + 12*j**2 - 72*j = 0.
-6, 0, 3
Factor i**3/2 + 16*i**2 + 89*i/2 + 29.
(i + 1)*(i + 2)*(i + 29)/2
Factor q**2 + 126*q + 3969.
(q + 63)**2
Factor -u**3/4 - 34*u**2 - 67*u.
-u*(u + 2)*(u + 134)/4
Factor -2*f**2/3 - 34*f/3.
-2*f*(f + 17)/3
Factor -14*h**4 - 23*h**3 + 52*h**2 - 15*h.
-h*(h - 1)*(h + 3)*(14*h - 5)
Suppose 2*b**3 - 24*b**2 - 56*b = 0. Calculate b.
-2, 0, 14
Factor -5*s**3 - 135*s**2 + 2150*s + 2280.
-5*(s - 12)*(s + 1)*(s + 38)
Let -3*a**4/2 + 33*a**3/2 + 279*a**2/2 + 447*a/2 + 102 = 0. What is a?
-4, -1, 17
Suppose -2*r**5 - 2*r**4 + 14*r**3 + 2*r**2 - 12*r = 0. What is r?
-3, -1, 0, 1, 2
Determine a, given that 5*a**4 + 20*a**3 - 245*a**2 - 980*a = 0.
-7, -4, 0, 7
Factor 2*b**5/21 + 2*b**4/21 - 4*b**3/21 - 4*b**2/21 + 2*b/21 + 2/21.
2*(b - 1)**2*(b + 1)**3/21
Factor -2*j**4 - 2894*j**3 - 1048350*j**2 - 1045458*j.
-2*j*(j + 1)*(j + 723)**2
Solve -z**4/9 + z**3/9 + 16*z**2/9 - 4*z/9 - 16/3 = 0 for z.
-3, -2, 2, 4
Solve 3*q**3 - 48*q**2 = 0 for q.
0, 16
What is n in -n**2 + 332*n - 27556 = 0?
166
Suppose -3*d**5/2 + 27*d**4/2 + 9*d**3/2 - 87*d**2/2 + 27*d = 0. What is d?
-2, 0, 1, 9
Let k**5/3 + 13*k**4/3 + 16*k**3 + 68*k**2/3 + 32*k/3 = 0. Calculate k.
-8, -2, -1, 0
Determine y so that 6591*y**4 - 130299*y**3 + 810810*y**2 - 1239300*y - 2187000 = 0.
-1, 90/13
Find t such that 2*t**3 + 94*t**2 - 100*t - 192 = 0.
-48, -1, 2
Let -5*s**3 - 2700*s**2 + 5415*s - 2710 = 0. What is s?
-542, 1
What is i in 50*i**5 + 40*i**4 - 142*i**3 - 220*i**2 - 104*i - 16 = 0?
-1, -2/5, 2
Solve 4*b**2/3 + 44*b = 0 for b.
-33, 0
Factor -3*o**2 + 1296*o - 139968.
-3*(o - 216)**2
Factor 529*h**3 - 644*h**2 + 196*h.
h*(23*h - 14)**2
Factor 3*m**2/7 + 87*m/7.
3*m*(m + 29)/7
Find l such that -1620*l**5 - 59544*l**4 - 43604*l**3 + 16608*l**2 + 1712*l - 576 = 0.
-36, -1, -1/5, 2/9
Factor -6*v**2/7 + 24*v/7 - 24/7.
-6*(v - 2)**2/7
Suppose m**4 + 11*m**3 - 24*m**2 - 144*m = 0. What is m?
-12, -3, 0, 4
Find k, given that 2*k**5/19 - 6*k**4/19 + 2*k**3/19 + 6*k**2/19 - 4*k/19 = 0.
-1, 0, 1, 2
Factor -3*o**4 - 12*o**3 + 45*o**2 + 54*o.
-3*o*(o - 3)*(o + 1)*(o + 6)
Determine y, given that 2*y**4/3 - 10*y**3 + 52*y**2 - 320*y/3 + 64 = 0.
1, 4, 6
What is m in -5*m**3 - 10*m**2 + 25*m + 30 = 0?
-3, -1, 2
Let 4*x**3 - 100*x**2 + 96*x = 0. Calculate x.
0, 1, 24
Find k, given that 196*k**4/15 - 154*k**3/3 - 32*k**2/5 + 152*k/15 + 32/15 = 0.
-2/7, 1/2, 4
Factor h**2 - 10*h + 9.
(h - 9)*(h - 1)
Suppose 27*s**5 + 387*s**4 + 1317*s**3 + 57*s**2 - 1248*s - 540 = 0. What is s?
-9, -5, -2/3, 1
Determine h, given that 2*h**2/5 - 4*h/5 - 96/5 = 0.
-6, 8
What is f in 5*f**2 - 180*f - 585 = 0?
-3, 39
Factor -3*j**4 - 66*j**3 + 387*j**2 - 486*j.
-3*j*(j - 3)*(j - 2)*(j + 27)
Factor 3*q**3/2 + 291*q**2/2 + 573*q/2 + 285/2.
3*(q + 1)**2*(q + 95)/2
Let -2*a**3/7 + 26*a**2/7 + 4*a = 0. Calculate a.
-1, 0, 14
Factor f**3 + 31*f**2 + 210*f.
f*(f + 10)*(f + 21)
Determine j so that -3*j**2 - 18*j + 1173 = 0.
-23, 17
Find k, given that -10*k**3/9 + 2*k**2 + 40*k/9 - 8 = 0.
-2, 9/5, 2
Factor -4*f**2 - 20*f + 96.
-4*(f - 3)*(f + 8)
Factor -c**2/5 - 19512*c/5 - 95179536/5.
-(c + 9756)**2/5
Let 6*v**5/11 + 36*v**4/11 - 138*v**3/11 - 360*v**2/11 - 192*v/11 = 0. What is v?
-8, -1, 0, 4
Factor 2*z**2/7 + 12*z/7 - 54/7.
2*(z - 3)*(z + 9)/7
Factor -3*n**4 + 21*n**3 - 51*n**2 + 51*n - 18.
-3*(n - 3)*(n - 2)*(n - 1)**2
What is b in -2*b**4/7 + 22*b**3/7 - 58*b**2/7 - 10*b + 300/7 = 0?
-2, 3, 5
What is m in m**3 + 14*m**2 + 56*m + 64 = 0?
-8, -4, -2
Factor 5*d**2 - 45.
5*(d - 3)*(d + 3)
Factor w**3 - 4641*w**2 + 7179627*w - 3702294323.
(w - 1547)**3
What is j in j**5/6 + 23*j**4/6 + 80*j**3/3 + 148*j**2/3 - 40*j/3 - 200/3 = 0?
-10, -2, 1
Find x such that x**4/8 - 55*x**3/8 + 39*x**2/2 + x/2 - 26 = 0.
-1, 2, 52
Determine n so that -n**3/4 - 41*n**2/8 + 221*n/8 - 25/2 = 0.
-25, 1/2, 4
Suppose -2*s**3/7 - 2*s**2 - 30*s/7 - 18/7 = 0. Calculate s.
-3, -1
Suppose v**5 + 5*v**4 + 4*v**3 = 0. What is v?
-4, -1, 0
Factor -j**3/4 - 59*j**2/4 + 157*j/2 - 96.
-(j - 3)*(j - 2)*(j + 64)/4
Solve -2*j**2/13 + 170*j/13 + 172/13 = 0.
-1, 86
Solve o**3/4 + 2325*o**2/4 + 1801875*o/4 + 465484375/4 = 0.
-775
Let -2*s**2 - 232*s = 0. What is s?
-116, 0
Let -3*g**4/2 + 2697*g**3/4 + 6111*g**2/2 + 4083*g + 1362 = 0. What is g?
-2, -1/2, 454
Solve -35*c**3 + 180*c**2 + 5225*c - 750 = 0 for c.
-10, 1/7, 15
Suppose -2*t**3/3 - 22*t**2/3 - 20*t/3 = 0. Calculate t.
-10, -1, 0
Factor 2*h**2 + 64*h + 350.
2*(h + 7)*(h + 25)
Suppose -5*m**4/3 + 25*m**3/3 + 10*m**2 = 0. Calculate m.
-1, 0, 6
Determine w so that -3*w**5 + 78*w**4 + 165*w**3 + 84*w**2 = 0.
-1, 0, 28
Factor 3*l**3/2 - 147*l**2/2.
3*l**2*(l - 49)/2
Factor i**4/7 - 3*i**3/7 - 24*i**2/7 - 4*i.
i*(i - 7)*(i + 2)**2/7
Suppose 4*u**5 + 148*u**4 + 420*u**3 + 412*u**2 + 136*u = 0. Calculate u.
-34, -1, 0
Factor 2*j**4/9 + 8*j**3/9 + 4*j**2/3 + 8*j/9 + 2/9.
2*(j + 1)**4/9
Determine y so that 3*y**4 + 6*y**3 - 3*y**2 - 6*y = 0.
-2, -1, 0, 1
Determine m so that -m**3/3 + 6*m**2 - 36*m + 72 = 0.
6
Solve -2*z**4/5 + 1284*z**3/5 - 41216*z**2 - 1284*z/5 + 206082/5 = 0.
-1, 1, 321
Determine u, given that 5*u**4 - 160*u**3 + 1650*u**2 - 4840*u - 6655 = 0.
-1, 11
Factor 2*t**2/5 + 264*t/5 + 104.
2*(t + 2)*(t + 130)/5
Factor -5*f**2 - 40*f - 35.
-5*(f + 1)*(f + 7)
Factor 2*z**5 + 3*z**4 + z**3.
z**3*(z + 1)*(2*z + 1)
Factor 5*u**3 + 15*u**2 - 125*u + 105.
5*(u - 3)*(u - 1)*(u + 7)
Factor -s**4/4 - 302*s**3 - 243009*s**2/2 - 16240900*s + 65450827/4.
-(s - 1)*(s + 403)**3/4
Find s such that 3*s**2 - 2388*s - 4788 = 0.
-2, 798
Factor -3*a**3 - 15*a**2 + 66*a - 48.
-3*(a - 2)*(a - 1)*(a + 8)
Factor 2*m**4/3 + 32*m**3/3 + 48*m**2 - 288.
2*(m - 2)*(m + 6)**3/3
Solve -8*x**5/17 + 6*x**4/17 + 40*x**3/17 - 30*x**2/17 - 32*x/17 + 24/17 = 0.
-2, -1, 3/4, 1, 2
Suppose 78608*w**4/7 + 1001096*w**3/7 - 268668*w**2/7 + 3402*w - 702/7 = 0. Calculate w.
-13, 3/34
Solve -3*z**2/7 - 15210*z/7 - 19278675/7 = 0 for z.
-2535
Determine a so that 5*a**2 + 220*a + 1920 = 0.
-32, -12
Factor x**4/2 - 17*x**3 + 120*x**2 - 175*x - 625/2.
(x - 25)*(x - 5)**2*(x + 1)/2
Factor 5*r**4/4 - 1765*r**3/4 + 154875*r**2/4 + 156645*r/4.
5*r*(r - 177)**2*(r + 1)/4
Determine a so that a**4/7 - 23*a**3/7 + 141*a**2/7 - 333*a/7 + 270/7 = 0.
2, 3, 15
Solve 3*u**4/5 + 3*u**3/5 - 69*u**2/5 + 117*u/5 - 54/5 = 0 for u.
-6, 1, 3
Factor 3*m**2/2 - 513*m/2 - 258.
3*(m - 172)*(m + 1)/2
Factor 5*c**4 + 140*c**3 - 150*c**2 - 140*c + 145.
5*(c - 1)**2*(c + 1)*(c + 29)
Find x, given that -6*x**4/7 + 46