*j**2/21 - 2*j/3.
2*j*(j - 1)*(j + 1)*(j + 7)/21
Factor g**3 - g**2 - 10*g - 8.
(g - 4)*(g + 1)*(g + 2)
Factor 5*k**2/6 + 461*k/3 + 184/3.
(k + 184)*(5*k + 2)/6
Let -4*l**4 + 20*l**3 = 0. What is l?
0, 5
Find o such that o**3 + 6*o**2 + 9*o = 0.
-3, 0
Factor -5*d**5 + 85*d**4 - 200*d**3 - 1500*d**2.
-5*d**2*(d - 10)**2*(d + 3)
Factor d**2/4 + 32*d + 240.
(d + 8)*(d + 120)/4
Suppose v**4 + 3*v**3 - 4*v**2 = 0. Calculate v.
-4, 0, 1
What is h in 2*h**5 - 10*h**4 - 30*h**3 + 10*h**2 + 28*h = 0?
-2, -1, 0, 1, 7
Find u such that -3*u**3 + 231*u**2 + 234*u = 0.
-1, 0, 78
Find t, given that -2*t**2/7 + 36*t/7 - 34/7 = 0.
1, 17
Suppose -4*z**2 + 252*z + 520 = 0. Calculate z.
-2, 65
Solve -5*t**4 + 75*t**3 - 130*t**2 - 600*t = 0 for t.
-2, 0, 5, 12
Factor r**4/3 - r**3/3 - r**2/3 + r/3.
r*(r - 1)**2*(r + 1)/3
Factor -2*d**2/3 - 76*d/3 + 160/3.
-2*(d - 2)*(d + 40)/3
What is x in -x**4 + 9*x**3 - 6*x**2 - 16*x = 0?
-1, 0, 2, 8
Let 4*n**5 + 16*n**4 - 28*n**3 - 88*n**2 + 96*n = 0. Calculate n.
-4, -3, 0, 1, 2
Suppose d**4 + 26*d**3 + 109*d**2 - 780*d + 900 = 0. Calculate d.
-15, 2
Determine z so that 3*z**4 - 153*z**3 - 660*z**2 = 0.
-4, 0, 55
Find z, given that -2*z**4 - 2642*z**3 - 1164240*z**2 - 171529600*z - 170368000 = 0.
-440, -1
Let -5*h**2/6 - 343*h/6 + 23 = 0. Calculate h.
-69, 2/5
Factor 4*m**5/7 + 24*m**4/7 + 48*m**3/7 + 40*m**2/7 + 12*m/7.
4*m*(m + 1)**3*(m + 3)/7
What is i in -2*i**4/11 - 20*i**3/11 - 16*i**2/11 + 128*i/11 = 0?
-8, -4, 0, 2
Factor -p**3/4 - p**2 + 7*p/4 + 5/2.
-(p - 2)*(p + 1)*(p + 5)/4
Factor 2*d**3 - 84*d**2 + 162*d - 80.
2*(d - 40)*(d - 1)**2
Determine c, given that 5*c**2 - 460*c + 10580 = 0.
46
Find d, given that 3*d**5/4 - 83*d**4/4 + 365*d**3/4 + 2915*d**2/4 + 808*d + 192 = 0.
-3, -1, -1/3, 16
Solve 4*o**5/5 + o**4/5 - 29*o**3/5 - 14*o**2/5 + 52*o/5 + 8 = 0 for o.
-2, -5/4, -1, 2
What is g in -3*g**3 - 3726*g**2 - 1542564*g - 212873832 = 0?
-414
Factor -h**3 - 12*h**2 - 20*h.
-h*(h + 2)*(h + 10)
Factor d**2/3 + 2783*d/3 + 2782/3.
(d + 1)*(d + 2782)/3
Find t, given that 3*t**4 + 27*t**3 - 345*t**2 + 1017*t - 918 = 0.
-17, 2, 3
Suppose x**2 + 2500*x + 1562500 = 0. What is x?
-1250
Determine o so that -o**5/5 + 11*o**4/5 - 3*o**3/5 - 27*o**2 = 0.
-3, 0, 5, 9
Determine y so that 5*y**4 + 1495*y**3 + 4455*y**2 + 4445*y + 1480 = 0.
-296, -1
Let g**3 - 16*g**2 + 39*g = 0. Calculate g.
0, 3, 13
Factor 2*i**4 - 278*i**3 + 13464*i**2 - 251680*i + 1192576.
2*(i - 44)**3*(i - 7)
Let 2*p**5 - 398*p**4 + 3474*p**3 - 10314*p**2 + 10260*p = 0. Calculate p.
0, 3, 190
Find s such that -315*s**2 + 5030*s + 160 = 0.
-2/63, 16
Let -5*m**4/4 - 45*m**3/4 - 95*m**2/4 + 45*m/4 + 25 = 0. What is m?
-5, -4, -1, 1
Solve -4*w**3 - 348*w**2 + 4*w + 348 = 0.
-87, -1, 1
Determine v so that -v**5 + 3*v**4 = 0.
0, 3
Factor -2*q**3/3 + 166*q**2/3 - 3526*q/3 + 3362/3.
-2*(q - 41)**2*(q - 1)/3
Factor w**4/6 + w**3/2 - 3*w**2/2 + 5*w/6.
w*(w - 1)**2*(w + 5)/6
Let -y**4 - 68*y**3 - 1284*y**2 - 4352*y - 4096 = 0. Calculate y.
-32, -2
Factor -6*z**3 - 14*z**2 - 8*z.
-2*z*(z + 1)*(3*z + 4)
What is d in -5*d**3 - 235*d**2 - 1660*d + 1900 = 0?
-38, -10, 1
Let -q**4/3 + 668*q**3 - 502002*q**2 + 167668668*q - 21000500667 = 0. What is q?
501
What is u in -2*u**3 + 2288*u**2 = 0?
0, 1144
Suppose -v**4 + 29*v**3 - 55*v**2 + 27*v = 0. What is v?
0, 1, 27
Let 2*j**5/13 + 6*j**4/13 - 18*j**3/13 - 46*j**2/13 - 24*j/13 = 0. What is j?
-4, -1, 0, 3
Suppose -b**5/10 - 208*b**4/5 - 21839*b**3/5 - 43056*b**2/5 - 42849*b/10 = 0. What is b?
-207, -1, 0
Factor -2*v**5 + 4*v**4 + 4*v**3 - 16*v**2 + 14*v - 4.
-2*(v - 1)**4*(v + 2)
Suppose r**2/6 + 1246*r/3 + 776258/3 = 0. Calculate r.
-1246
Suppose 10*l**4/3 - 52*l**3/3 + 16*l**2 = 0. Calculate l.
0, 6/5, 4
Let -36*d**3 - 48*d**2 - 13*d - 1 = 0. Calculate d.
-1, -1/6
Solve 4*p**3/9 - 832*p**2/9 + 43264*p/9 = 0 for p.
0, 104
Let -d**2/3 - 2*d - 8/3 = 0. Calculate d.
-4, -2
Factor h**3/2 - 13*h**2/2 - 205*h/2 - 575/2.
(h - 23)*(h + 5)**2/2
Find l such that -21*l**3/2 + 225*l**2/2 + 33*l = 0.
-2/7, 0, 11
Factor -4*r**3 - 16*r**2 + 112*r - 128.
-4*(r - 2)**2*(r + 8)
What is q in -2*q**3/9 + 8*q**2/3 - 8*q/3 - 160/9 = 0?
-2, 4, 10
Factor -3*b**3 - 1239*b**2 - 2469*b - 1233.
-3*(b + 1)**2*(b + 411)
Factor -2*h**2 - 10*h + 28.
-2*(h - 2)*(h + 7)
Solve 895*j**3 - 885*j**2 - 10*j = 0 for j.
-2/179, 0, 1
Solve -2*k**3/9 - 82*k**2/9 - 560*k/9 - 352/3 = 0.
-33, -4
Factor -242*t**3 - 572*t**2 - 338*t.
-2*t*(11*t + 13)**2
Factor 2*a**2 - 748*a - 750.
2*(a - 375)*(a + 1)
Factor 28*f**5 - 4*f**4.
4*f**4*(7*f - 1)
Factor 3*u**4 + 12*u**3 - 36*u**2.
3*u**2*(u - 2)*(u + 6)
Factor z**4 + 48*z**3 + 472*z**2 - 2496*z + 2704.
(z - 2)**2*(z + 26)**2
Factor 2*i**3 + 10*i**2 - 66*i + 54.
2*(i - 3)*(i - 1)*(i + 9)
Factor -2*w**4/15 + 16*w**3/5 + 10*w**2/3.
-2*w**2*(w - 25)*(w + 1)/15
Factor 2*h**3/7 - 26*h**2/7 - 128*h/7 - 136/7.
2*(h - 17)*(h + 2)**2/7
Factor -2*k**2/5 + 296*k/5 - 10952/5.
-2*(k - 74)**2/5
Let 4*s**5/5 + 236*s**4/5 + 1228*s**3/5 - 67676*s**2/5 + 281792*s/5 + 350464/5 = 0. Calculate s.
-37, -1, 8
Factor -d**4/5 + 14*d**3/5 + 132*d**2/5 + 306*d/5 + 189/5.
-(d - 21)*(d + 1)*(d + 3)**2/5
Determine p so that -p**3/4 - 1545*p**2/4 - 149382*p - 148996 = 0.
-772, -1
Determine v, given that 5*v**2 - 490*v - 495 = 0.
-1, 99
What is o in 2*o**4/9 - 8*o**3/3 - 56*o**2/9 = 0?
-2, 0, 14
Factor -8*p**2/5 + 7*p/5 + 3.
-(p + 1)*(8*p - 15)/5
Solve -2*z**3/13 - 84*z**2/13 = 0 for z.
-42, 0
Find b, given that 3*b**5/4 + 9*b**4 + 57*b**3/2 + 39*b**2 + 99*b/4 + 6 = 0.
-8, -1
Factor -3*g**3 - 192*g**2 - 2415*g + 22050.
-3*(g - 6)*(g + 35)**2
What is w in w**2/3 - 592*w/3 + 87616/3 = 0?
296
Let 3*m**5/5 + 24*m**4/5 - 75*m**3 + 264*m**2 - 1788*m/5 + 816/5 = 0. Calculate m.
-17, 1, 2, 4
Solve -4*z**5/9 - 52*z**4/9 + 128*z**3/9 + 2096*z**2/9 - 4480*z/9 - 6400/9 = 0.
-10, -1, 4
Solve 5*q**2/6 + 85*q + 4335/2 = 0 for q.
-51
Determine j so that -2*j**3 - 1582*j**2 - 1580*j = 0.
-790, -1, 0
Find f such that -3*f**2/4 - 54*f - 213/4 = 0.
-71, -1
What is b in 5*b**2/2 + 55*b/2 - 30 = 0?
-12, 1
Factor -3*a**3/2 + 8*a**2 - 25*a/2 + 6.
-(a - 3)*(a - 1)*(3*a - 4)/2
Factor 3*l**4 + 78*l**3 - 9*l**2 - 228*l + 156.
3*(l - 1)**2*(l + 2)*(l + 26)
Factor q**2/2 + 134*q + 8978.
(q + 134)**2/2
What is q in -2*q**3 + 10*q**2 + 26*q + 14 = 0?
-1, 7
Factor -q**2 + 113*q - 112.
-(q - 112)*(q - 1)
Let x**2/8 - 168*x + 1343/8 = 0. Calculate x.
1, 1343
Factor -35*r**3 - 185*r**2 - 50*r.
-5*r*(r + 5)*(7*r + 2)
Solve x**2 - 2*x = 0 for x.
0, 2
Determine z so that 5*z**2 - 2365*z + 4710 = 0.
2, 471
What is g in 5*g**5/2 + 5*g**4/4 - 185*g**3 - 2755*g**2/4 - 830*g - 325 = 0?
-13/2, -2, -1, 10
Factor -5*b**2 - 615*b.
-5*b*(b + 123)
Suppose 8*a**4/11 - 398*a**3/11 + 676*a**2/11 - 190*a/11 - 96/11 = 0. Calculate a.
-1/4, 1, 48
Factor -11881*x**2/2 + 436*x - 8.
-(109*x - 4)**2/2
Determine i so that -3*i**4 + 363*i**3 - 360*i**2 = 0.
0, 1, 120
Let p**3 + 2*p**2 - 84*p - 360 = 0. What is p?
-6, 10
Let -2*l**5 - 4*l**4 + 6*l**3 + 16*l**2 + 8*l = 0. What is l?
-2, -1, 0, 2
Factor 4*p**4 - 48*p**3 - 508*p**2 - 456*p.
4*p*(p - 19)*(p + 1)*(p + 6)
Factor -4*i**2 - 256*i + 260.
-4*(i - 1)*(i + 65)
Determine x so that 4*x**4 + 4*x**3 - 24*x**2 = 0.
-3, 0, 2
Determine j, given that 2*j**2 - 84*j - 1296 = 0.
-12, 54
Let -20*j**5 + 745*j**4 + 1355*j**3 + 395*j**2 - 195*j = 0. What is j?
-1, 0, 1/4, 39
Factor 5*m**4 - 10*m**3 - 15*m**2 + 20*m + 20.
5*(m - 2)**2*(m + 1)**2
What is f in -f**3/8 - 103*f**2/8 - 325*f + 338 = 0?
-52, 1
Find v such that 4*v**4/5 - 516*v**3/5 + 16896*v**2/5 - 16384*v/5 = 0.
0, 1, 64
Suppose h**5 + 6*h**4 + 13*h**3 + 12*h**2 + 4*h = 0. Calculate h.
-2, -1, 0
Factor 36*m**4 - 181*m**3 + 3*m**2 + 10*m.
m*(m - 5)*(4*m - 1)*(9*m + 2)
Factor s**4 - 47*s**3 + 528*s**2 + 576*s.
s*(s - 24)**2*(s + 1)
Determine o so that -7*o**2/3 - 2*o/3 = 0.
-2/7, 0
Factor -484*x**2/3 + 2288*x - 8112.
-4*(11*x - 78)**2/3
Find d such that -d**5 - 5*d**4 + 13*d**3 - 7*d**2 = 0.
-7, 0, 1
Factor -3*g**4/7 - 18*g**3/7 - 9*g**2/7 + 30*g/7.
-3*g*(g - 1)*(g + 2)*(g + 5)/7
Factor 2*h**2 - 6*h.
2*h*(h - 3)
Suppose 2*w**3/3 - 2104*w**2 + 4206*w - 6308/3 = 0. Calculate w.
1, 3154
Let 5*d**4 - 20*d**3 + 25*d**2 - 10*d = 0. Calculate d.
0, 1, 2
Let 4*n**2/5 - 91*n/5 - 23/5 = 0. What is n?
-1/4, 23
Determine j, given th