*x**2 + 220*x + 460.
5*(x - 46)*(x - 2)*(x + 1)
Suppose -4*z**3/3 - 632*z**2/3 - 8528*z - 16224 = 0. What is z?
-78, -2
Factor j**2/6 + 113*j/3 - 1631/6.
(j - 7)*(j + 233)/6
Factor h**3/2 - h**2/2 - 4*h + 6.
(h - 2)**2*(h + 3)/2
Factor -6*g**3/7 + 6*g**2/7 + 486*g/7 - 486/7.
-6*(g - 9)*(g - 1)*(g + 9)/7
Suppose 2*x**3/5 + 42*x**2/5 + 78*x/5 + 38/5 = 0. What is x?
-19, -1
What is r in 2*r**4/17 - 6*r**3/17 - 6*r**2/17 + 22*r/17 - 12/17 = 0?
-2, 1, 3
Solve -2*l**2/3 + 14008*l/3 - 24528008/3 = 0.
3502
Suppose -2*g**2/11 - 234*g/11 + 476/11 = 0. What is g?
-119, 2
Factor -93*s**4 + 6*s**3.
-3*s**3*(31*s - 2)
Let -2*o**3 - 26*o**2 - 72*o = 0. Calculate o.
-9, -4, 0
What is y in -y**5 + 36*y**4 + 482*y**3 + 1620*y**2 + 1175*y = 0?
-5, -1, 0, 47
Factor -363*r**2/2 + 7128*r - 69984.
-3*(11*r - 216)**2/2
Factor -4*f**3 + 336*f**2 + 1756*f + 2136.
-4*(f - 89)*(f + 2)*(f + 3)
Determine g, given that 12*g**5 + 93*g**4 - 45*g**3 - 165*g**2 + 33*g + 72 = 0.
-8, -1, -3/4, 1
Factor -4*z**3 - 272*z**2 - 532*z - 264.
-4*(z + 1)**2*(z + 66)
Find b, given that -5*b**3/4 - 255*b**2/2 + 6905*b/4 + 3705/2 = 0.
-114, -1, 13
Let 12*p**5 - 236*p**4 + 116*p**3 + 11100*p**2 + 12896*p - 13520 = 0. Calculate p.
-5, -2, 2/3, 13
Solve -2*t**4 - 2*t**3 + 164*t**2 - 160*t = 0.
-10, 0, 1, 8
Factor -2*n**2/17 + 1638*n/17 - 1636/17.
-2*(n - 818)*(n - 1)/17
Factor -u**5 - 519*u**4 + 1041*u**3 - 521*u**2.
-u**2*(u - 1)**2*(u + 521)
Suppose 3*a**3/2 + 75*a**2/2 - 216*a + 270 = 0. What is a?
-30, 2, 3
Factor 625*q**5 - 500*q**4 + 80*q**2 - 16*q.
q*(5*q - 2)**3*(5*q + 2)
Let -5*k**5 - 5*k**4 + 55*k**3 - 35*k**2 - 50*k + 40 = 0. Calculate k.
-4, -1, 1, 2
Solve o**2/4 - 15*o/2 + 225/4 = 0 for o.
15
Solve 3168*k**2 + 48*k + 2/11 = 0.
-1/132
Factor -2*a**3/9 - 70*a**2/9 + 34*a - 26.
-2*(a - 3)*(a - 1)*(a + 39)/9
Solve -x**5 + 4*x**4 - 5*x**3 + 2*x**2 = 0.
0, 1, 2
Factor q**2/3 - 229*q/3 - 932/3.
(q - 233)*(q + 4)/3
Factor -z**3 - 3009*z**2 - 3018027*z - 1009027027.
-(z + 1003)**3
Let r**4/4 + 9*r**3 + 323*r**2/4 - 9*r - 81 = 0. Calculate r.
-18, -1, 1
What is x in 2*x**3 + 230*x**2 - 1434*x + 2178 = 0?
-121, 3
Factor -r**3 - 505*r**2 - 64008*r - 63504.
-(r + 1)*(r + 252)**2
Determine s so that 15*s**3 + 3389*s**2 - 3628*s + 908 = 0.
-227, 2/5, 2/3
Solve -2*f**4/11 + 16*f**3/11 - 42*f**2/11 + 4*f - 16/11 = 0 for f.
1, 2, 4
Suppose 50*a**2/11 - 3760*a/11 + 70688/11 = 0. Calculate a.
188/5
Suppose -3*g**3/2 + 63*g**2/2 + 105*g + 72 = 0. Calculate g.
-2, -1, 24
Factor t**3 - 94*t**2 + 445*t.
t*(t - 89)*(t - 5)
Factor b**2/2 - 5*b + 21/2.
(b - 7)*(b - 3)/2
Suppose l**5/3 + 7*l**4/3 - 41*l**3/3 + 37*l**2/3 + 40*l/3 - 44/3 = 0. Calculate l.
-11, -1, 1, 2
Factor -4*g**3 + 2388*g**2 - 2384*g.
-4*g*(g - 596)*(g - 1)
Factor -4*b**3 + 404*b**2 - 8640*b - 81648.
-4*(b - 54)**2*(b + 7)
Find u such that -3*u**3/2 - 341*u**2 - 19266*u + 12996 = 0.
-114, 2/3
Let -14*h**3 + 1662*h**2 - 2800*h - 936 = 0. What is h?
-2/7, 2, 117
Find w such that w**3/2 + 71*w**2/4 + 335*w/4 + 75/2 = 0.
-30, -5, -1/2
Factor 2*p**3/7 + 12*p**2/7 - 30*p/7 - 200/7.
2*(p - 4)*(p + 5)**2/7
Solve w**2/2 - w/2 - 3 = 0.
-2, 3
Let 4*p**2 - 37808*p + 89340304 = 0. Calculate p.
4726
Find y such that -2*y**2/3 - 87*y - 130/3 = 0.
-130, -1/2
Factor 3*m**4 + 183*m**3 + 177*m**2 - 183*m - 180.
3*(m - 1)*(m + 1)**2*(m + 60)
Factor -3*y**2 + 486*y - 19683.
-3*(y - 81)**2
Factor u**2 + 9*u - 22.
(u - 2)*(u + 11)
Factor -4*o**4 - 23728*o**3 - 35164888*o**2 + 70400976*o - 35212356.
-4*(o - 1)**2*(o + 2967)**2
Factor -3*q**4 - 30*q**3 - 24*q**2 + 30*q + 27.
-3*(q - 1)*(q + 1)**2*(q + 9)
What is t in 13*t**4/3 + 89*t**3/3 + 116*t**2/3 - 20*t/3 = 0?
-5, -2, 0, 2/13
Factor 3*w**3 + 159*w**2 - 162*w.
3*w*(w - 1)*(w + 54)
Suppose 3*r**2/2 + 606*r + 1206 = 0. What is r?
-402, -2
Factor 3*o**2/5 - 996*o/5 + 82668/5.
3*(o - 166)**2/5
Factor -4*p**3 + 48*p**2 + 396*p + 648.
-4*(p - 18)*(p + 3)**2
Factor 2*o**2 + 44*o + 144.
2*(o + 4)*(o + 18)
Factor -5*z**3 + 210*z**2 - 2400*z + 4000.
-5*(z - 20)**2*(z - 2)
Solve -3*d**3 - 342*d**2 - 339*d = 0 for d.
-113, -1, 0
Solve -588*q**5 + 952*q**4 + 12780*q**3 + 15320*q**2 + 4368*q + 288 = 0 for q.
-3, -1, -2/7, -2/21, 6
Determine y, given that -3*y**2 - 456*y - 5421 = 0.
-139, -13
Factor -5*g**3 + 5*g**2 + 100*g.
-5*g*(g - 5)*(g + 4)
What is m in 2*m**5/7 + 54*m**4/7 - 302*m**3/7 + 562*m**2/7 - 444*m/7 + 128/7 = 0?
-32, 1, 2
Factor -l**3 + 45*l**2 - 528*l + 484.
-(l - 22)**2*(l - 1)
Find y such that -5*y**4/2 - 75*y**3/2 - 90*y**2 + 640*y + 1920 = 0.
-8, -3, 4
Factor 2*x**3/17 + 58*x**2/17 - 140*x/17 - 496/17.
2*(x - 4)*(x + 2)*(x + 31)/17
Factor -3*l**2 - 144*l.
-3*l*(l + 48)
Factor -5*k**2 - 45*k - 100.
-5*(k + 4)*(k + 5)
What is f in -f**2/2 + 35*f - 325/2 = 0?
5, 65
What is m in m**4 - 44*m**3 - 191*m**2 - 54*m + 288 = 0?
-3, -2, 1, 48
Factor -5*g**4 + 575*g**3 + 3570*g**2 + 7220*g + 4840.
-5*(g - 121)*(g + 2)**3
Suppose 9*u**2/7 - 111*u/7 + 36/7 = 0. Calculate u.
1/3, 12
Factor -12*g**3 - 123*g**2 - 30*g.
-3*g*(g + 10)*(4*g + 1)
Factor 3*b**3 - 12*b**2 - 393*b - 378.
3*(b - 14)*(b + 1)*(b + 9)
Let -14*g**4 + 106*g**3 + 35664*g**2/7 - 2936*g + 2944/7 = 0. What is g?
-16, 2/7, 23
Find v, given that 3*v**4/7 + 57*v**3/7 + 99*v**2/7 - 57*v/7 - 102/7 = 0.
-17, -2, -1, 1
Find w, given that -140*w**2/3 + 134*w/3 + 2 = 0.
-3/70, 1
What is j in j**3 - j**2 - 33*j - 63 = 0?
-3, 7
What is f in -f**2/6 - 22*f/3 - 242/3 = 0?
-22
Determine x so that -3*x**3/7 + 93*x**2/7 - 36*x = 0.
0, 3, 28
What is b in -2*b**5 - 227*b**4 - 6383*b**3 + 3363*b**2 + 3249*b = 0?
-57, -1/2, 0, 1
Factor -245*t**5 - 1610*t**4 - 3065*t**3 - 1380*t**2 - 180*t.
-5*t*(t + 3)**2*(7*t + 2)**2
Factor -n**3/6 + 126*n**2 - 31752*n + 2667168.
-(n - 252)**3/6
Factor y**3 + 7*y**2.
y**2*(y + 7)
Find s, given that -49*s**4/4 - 11207*s**3/4 + 3205*s**2/4 - 229*s/4 = 0.
-229, 0, 1/7
Determine z, given that -z**2/2 + 29*z/2 + 48 = 0.
-3, 32
Determine t, given that -10*t**3 - 72*t**2 - 128*t = 0.
-4, -16/5, 0
What is v in -v**2 - 142*v - 5041 = 0?
-71
Suppose 49*t**2 - 756*t + 2916 = 0. What is t?
54/7
Determine k so that k**2/3 - 11*k - 34/3 = 0.
-1, 34
Let 2*c**2/7 + 22*c/7 + 60/7 = 0. What is c?
-6, -5
Factor 3*j**4 - 36*j**3 - 45*j**2 + 78*j.
3*j*(j - 13)*(j - 1)*(j + 2)
Find j, given that -12*j**5 + 33*j**4 - 3*j**3 - 39*j**2 + 15*j + 6 = 0.
-1, -1/4, 1, 2
What is f in -4*f**2/3 - 116*f/3 = 0?
-29, 0
Factor 32*q**3 + 104*q**2 + 169*q/2.
q*(8*q + 13)**2/2
Determine x, given that -4*x**3/7 + 40*x**2/7 + 52*x/7 - 88/7 = 0.
-2, 1, 11
Factor 3*o**3 + 99*o**2 + 864*o + 768.
3*(o + 1)*(o + 16)**2
Suppose 5*n**2 + 10870*n + 5907845 = 0. What is n?
-1087
Suppose 4*k**5 + 52*k**4 + 204*k**3 + 140*k**2 - 400*k = 0. Calculate k.
-5, -4, 0, 1
Factor -k**3/5 + 933*k**2/5 + 2806*k/5 + 1872/5.
-(k - 936)*(k + 1)*(k + 2)/5
Factor -4*t**2 + 12*t - 8.
-4*(t - 2)*(t - 1)
What is q in 2*q**2 + 130*q/11 + 100/11 = 0?
-5, -10/11
Factor -i**5 + 91*i**4 - 1929*i**3 - 6439*i**2 - 4418*i.
-i*(i - 47)**2*(i + 1)*(i + 2)
Let z**4 + 56*z**3 + 109*z**2 + 54*z = 0. Calculate z.
-54, -1, 0
Factor t**3 - 570*t**2 + 108300*t - 6859000.
(t - 190)**3
Factor -3*b**3/5 - 792*b**2/5 - 1572*b/5.
-3*b*(b + 2)*(b + 262)/5
Factor -p**3/6 + 28*p**2/3 + 59*p/6 - 19.
-(p - 57)*(p - 1)*(p + 2)/6
Let 3*t**3 - 486*t**2 + 18675*t + 82668 = 0. Calculate t.
-4, 83
Factor -2*j**2/3 + 388*j - 56454.
-2*(j - 291)**2/3
Determine q, given that 25*q**5 + 40*q**4 - 345*q**3 + 380*q**2 - 100*q = 0.
-5, 0, 2/5, 1, 2
Factor d**3/6 + 103*d**2/6 + 1300*d/3 - 1352/3.
(d - 1)*(d + 52)**2/6
Factor -4*d**2 + 512*d - 2460.
-4*(d - 123)*(d - 5)
Suppose -v**5 - 19*v**4 - 131*v**3 - 389*v**2 - 456*v - 180 = 0. Calculate v.
-6, -5, -1
Factor 2*t**4 - 3*t**3 - t**2 + 3*t - 1.
(t - 1)**2*(t + 1)*(2*t - 1)
Suppose -2*t**3/25 - 284*t**2/25 - 1094*t/25 + 276/5 = 0. Calculate t.
-138, -5, 1
Determine h, given that -h**2/9 + 58*h/9 - 272/3 = 0.
24, 34
Factor -2*t**3/7 - 276*t**2/7 - 1566*t - 13608.
-2*(t + 12)*(t + 63)**2/7
Find b such that 3*b**5 - 156*b**4 - 672*b**3 = 0.
-4, 0, 56
Solve 3*h**3/2 - 45*h**2/2 + 57*h - 36 = 0.
1, 2, 12
Factor 100*d**5/7 + 120*d**4/7 - 144*d**3/7 + 32*d**2/7.
4*d**2*(d + 2)*(5*d - 2)**2/7
Determine u so that 35*u**5 - 575*u**4 + 205*u**3 + 575*u**2 - 240*u = 0.
-1, 0, 3/7, 1, 16
Factor -4*g**2/7 +