782*u + 3174 = 0. What is u?
-3, 23
What is b in -b**3/3 + b**2/3 + 74*b/3 - 48 = 0?
-9, 2, 8
Suppose 6*o**2/7 - 124*o/7 - 6 = 0. What is o?
-1/3, 21
Suppose r**3/9 - 22*r**2/3 - 15*r - 68/9 = 0. What is r?
-1, 68
Factor 68*i**3 + 672*i**2 - 1712*i + 192.
4*(i - 2)*(i + 12)*(17*i - 2)
Factor 4*q**3 - 52*q + 48.
4*(q - 3)*(q - 1)*(q + 4)
Let w**2 + 1366*w - 2736 = 0. Calculate w.
-1368, 2
Solve -d**2 - 13*d - 12 = 0.
-12, -1
Suppose 2*v**2/7 - 44*v/7 + 32 = 0. Calculate v.
8, 14
Solve 3*k**2/2 + 3*k - 36 = 0 for k.
-6, 4
Factor -169932*j**2 + 3808*j - 64/3.
-4*(357*j - 4)**2/3
Factor 2*i**4/3 - 12*i**3 + 34*i**2 + 140*i/3.
2*i*(i - 14)*(i - 5)*(i + 1)/3
Factor 4*f**3 - 48*f**2 - 60*f + 104.
4*(f - 13)*(f - 1)*(f + 2)
Factor 5*r**4 + 900*r**3 + 44750*r**2 + 382500*r + 903125.
5*(r + 5)**2*(r + 85)**2
What is i in -2*i**4/19 + 824*i**3/19 - 113436*i**2/19 + 5255320*i/19 - 5142706/19 = 0?
1, 137
Factor s**4/2 - 2*s**3 - s**2/2 + 2*s.
s*(s - 4)*(s - 1)*(s + 1)/2
Find n such that 2*n**5 - 70*n**3 - 180*n**2 - 112*n = 0.
-4, -2, -1, 0, 7
Factor 2*j**2/15 - 2*j/5 - 8/15.
2*(j - 4)*(j + 1)/15
Find h, given that 2*h**5/11 - 6*h**4 + 510*h**3/11 + 578*h**2/11 = 0.
-1, 0, 17
Let 2*y**5 + 88*y**4 + 950*y**3 - 792*y**2 - 8712*y = 0. What is y?
-22, -3, 0, 3
Let 220*j**2 + 1995*j + 135 = 0. Calculate j.
-9, -3/44
Solve 6*r**5/5 - 285*r**4 + 84252*r**3/5 + 42483*r**2/5 = 0 for r.
-1/2, 0, 119
What is n in 2*n**4 + 74*n**3 - 322*n**2 + 246*n = 0?
-41, 0, 1, 3
Suppose 5*m**2 + 270*m + 265 = 0. Calculate m.
-53, -1
Determine j, given that -3*j**5/7 + 39*j**4/7 + 45*j**3/7 - 39*j**2/7 - 6*j = 0.
-1, 0, 1, 14
Find z such that -2*z**5 + 24*z**4 + 108*z**3 - 1944*z**2 + 4374*z = 0.
-9, 0, 3, 9
Suppose 98*v**5 - 3374*v**4 - 12928*v**3 - 14000*v**2 - 5152*v - 608 = 0. What is v?
-2, -1, -2/7, 38
Solve -5*t**5 + 5*t**4 + 15*t**3 - 25*t**2 + 10*t = 0.
-2, 0, 1
Let 2*k**4/11 + 14*k**3/11 + 26*k**2/11 - 6*k/11 - 36/11 = 0. What is k?
-3, -2, 1
Factor c**3 - 212*c**2 - 2677*c - 2464.
(c - 224)*(c + 1)*(c + 11)
Factor d**4 + 38*d**3 + 321*d**2 - 760*d + 400.
(d - 1)**2*(d + 20)**2
Suppose 3*d**3/5 + 18*d**2/5 = 0. What is d?
-6, 0
Let 2*o**2/17 + 2*o - 36/17 = 0. Calculate o.
-18, 1
Let 7*z**5 - 2137*z**4/6 - 271*z**3/6 + 406*z**2/3 + 34*z = 0. What is z?
-1/2, -2/7, 0, 2/3, 51
Factor 2*u**4 - 148*u**3 + 3146*u**2 - 15096*u + 20808.
2*(u - 34)**2*(u - 3)**2
Suppose -d**3/5 + 9*d**2/5 - 14*d/5 - 24/5 = 0. Calculate d.
-1, 4, 6
Solve 12*h**4 - 62*h**3 + 84*h**2 + 24*h - 80 = 0.
-5/6, 2
Let n**4 - 27*n**3 + 237*n**2 - 737*n + 726 = 0. What is n?
2, 3, 11
Find v, given that 2*v**3/13 + 252*v**2/13 - 8*v/13 - 1008/13 = 0.
-126, -2, 2
Determine q, given that 4*q**5/9 + 74*q**4/9 + 326*q**3/9 + 544*q**2/9 + 104*q/3 = 0.
-13, -2, -3/2, 0
Factor -2*l**4 + 18*l**3 - 34*l**2 - 66*l + 180.
-2*(l - 5)*(l - 3)**2*(l + 2)
Determine z, given that -2*z**2/7 - 800*z/7 - 80000/7 = 0.
-200
Let 4*j**3 + 4316*j**2 + 4312*j = 0. What is j?
-1078, -1, 0
Suppose -4*d**3 + 44*d**2 - 156*d + 180 = 0. What is d?
3, 5
Solve -6*m**2 + 4*m + 10 = 0 for m.
-1, 5/3
Solve -2*q**5/17 - 26*q**4/17 - 62*q**3/17 + 202*q**2/17 + 280*q/17 - 392/17 = 0.
-7, -2, 1, 2
Factor h**3/4 - 4*h**2 + 15*h/4.
h*(h - 15)*(h - 1)/4
Factor -h**3/4 + 101*h**2/4 + 26*h - 51.
-(h - 102)*(h - 1)*(h + 2)/4
Determine s so that -5*s**5 - 85*s**4 - 50*s**3 + 500*s**2 + 280*s - 640 = 0.
-16, -2, 1, 2
Suppose -3*q**2 + 537*q - 1584 = 0. Calculate q.
3, 176
Factor b**2/8 + 93*b/8 + 91/4.
(b + 2)*(b + 91)/8
Factor -2*k**2/3 - 4532*k/3 - 2567378/3.
-2*(k + 1133)**2/3
Let y**3/6 - 58*y**2/3 + 1682*y/3 = 0. What is y?
0, 58
Factor -2*b**3/7 - 132*b**2/7 + 410*b/7 - 276/7.
-2*(b - 2)*(b - 1)*(b + 69)/7
Suppose 5*k**2 - 715*k + 710 = 0. What is k?
1, 142
Solve -2*o**5 + 294*o**4/5 - 646*o**3/5 - 78*o**2/5 + 656*o/5 - 216/5 = 0 for o.
-1, 2/5, 1, 2, 27
Factor -4*o**3 + 696*o**2 - 30276*o.
-4*o*(o - 87)**2
Factor -y**3/4 + 4*y**2 + 35*y/4 + 9/2.
-(y - 18)*(y + 1)**2/4
Solve 10*b**3/13 + 54*b**2/13 + 20*b/13 = 0 for b.
-5, -2/5, 0
Let 5*q**3 - 500*q**2 - 12815*q - 73810 = 0. Calculate q.
-11, 122
Factor 5*u**4 + 45*u**3 - 165*u**2 + 175*u - 60.
5*(u - 1)**3*(u + 12)
Factor v**3/8 + 9*v**2/8 + 27*v/8 + 27/8.
(v + 3)**3/8
Factor 3*b**5/4 + 6*b**4 + 9*b**3 - 3*b**2/2 - 39*b/4 - 9/2.
3*(b - 1)*(b + 1)**3*(b + 6)/4
Factor -8*g**2 + 22*g + 6.
-2*(g - 3)*(4*g + 1)
Suppose -5*s**5/4 + 55*s**4/4 + 75*s**3/2 - 765*s**2/2 - 5265*s/4 - 3645/4 = 0. Calculate s.
-3, -1, 9
Find i such that -i**4/2 + 17*i**3/2 - 37*i**2 + 44*i = 0.
0, 2, 4, 11
Let 4*j**3 - 3488*j**2 + 763860*j - 1513800 = 0. What is j?
2, 435
Factor 2*j**4/13 - 6*j**2/13 + 4*j/13.
2*j*(j - 1)**2*(j + 2)/13
Factor -c**5 + 66*c**4 - 1353*c**3 + 8344*c**2 - 7056*c.
-c*(c - 28)**2*(c - 9)*(c - 1)
Find m such that m**5 + 56*m**4 + 1081*m**3 + 7830*m**2 + 12636*m + 5832 = 0.
-18, -1
Factor -z**3 + 864*z**2 - 188340*z + 739600.
-(z - 430)**2*(z - 4)
Let 15*f**3/7 + 6*f**2/7 = 0. Calculate f.
-2/5, 0
Find t such that 3*t**2 - 123*t + 234 = 0.
2, 39
What is t in 2*t**3/11 - 72*t**2 + 7128*t = 0?
0, 198
Factor 4*s**5/7 + 480*s**4/7 - 484*s**3/7.
4*s**3*(s - 1)*(s + 121)/7
Let 594441*s**2/8 + 771*s/2 + 1/2 = 0. What is s?
-2/771
Determine v, given that -4*v**3 - 1328*v**2 + 2672*v = 0.
-334, 0, 2
Determine t so that -t**3/9 - 281*t**2/9 - 1088*t/3 - 1076 = 0.
-269, -6
Factor 5*a**3/6 - 545*a**2/6 + 3200*a - 36750.
5*(a - 49)*(a - 30)**2/6
Factor q**4/3 + 8*q**3/3 + 13*q**2/3 + 2*q.
q*(q + 1)**2*(q + 6)/3
What is r in -2*r**4 - 220*r**3 - 1062*r**2 - 1260*r = 0?
-105, -3, -2, 0
Factor -2*y**2/11 - 2216*y/11 + 2218/11.
-2*(y - 1)*(y + 1109)/11
Factor g**2/6 - 35*g/6 - 6.
(g - 36)*(g + 1)/6
Factor f**2/3 + 10*f/3 - 25.
(f - 5)*(f + 15)/3
Factor -4*t**3 - 88*t**2 - 84*t.
-4*t*(t + 1)*(t + 21)
Factor -2*o**2/5 - 72*o/5 + 74/5.
-2*(o - 1)*(o + 37)/5
Factor -m**2/6 + 3673*m/3 - 13490929/6.
-(m - 3673)**2/6
Factor 2*o**3/5 - 4004*o**2/5 + 1999992*o/5 + 4016016/5.
2*(o - 1002)**2*(o + 2)/5
Let 5*z**3 - 45*z**2 + 70*z = 0. What is z?
0, 2, 7
Determine l so that l**3/4 - 3*l**2/4 - 5*l/2 = 0.
-2, 0, 5
Factor 2*t**3/9 - 52*t**2/9 + 226*t/9 + 280/9.
2*(t - 20)*(t - 7)*(t + 1)/9
Factor -4*y**5 + 7*y**4 - 2*y**3 - y**2.
-y**2*(y - 1)**2*(4*y + 1)
Factor 4*t**3 - 644*t**2 + 24928*t + 80688.
4*(t - 82)**2*(t + 3)
Find b such that 2*b**4/11 - 28*b**3/11 + 70*b**2/11 - 4*b = 0.
0, 1, 2, 11
Factor -z**3/3 + 89*z**2 + z/3 - 89.
-(z - 267)*(z - 1)*(z + 1)/3
Suppose c**2 - 78*c = 0. Calculate c.
0, 78
Let 3*q**2 + 5124*q + 2187948 = 0. Calculate q.
-854
Factor -2*r**4/21 - 64*r**3/21 - 36*r**2 - 560*r/3 - 1078/3.
-2*(r + 7)**3*(r + 11)/21
Factor 100*g**5 - 6380*g**4 - 65044*g**3 - 154468*g**2.
4*g**2*(g - 73)*(5*g + 23)**2
Suppose -244205*i**2 - 44200*i - 2000 = 0. Calculate i.
-20/221
Suppose 4*i**5 - 43*i**4 + 121*i**3 - 3*i**2 - 225*i - 54 = 0. What is i?
-1, -1/4, 3, 6
Let 4*n**4/9 - 1912*n**3/9 + 13252*n**2/9 - 10064*n/3 + 2512 = 0. Calculate n.
2, 3, 471
Factor 3*t**4 - 42*t**3 + 159*t**2 - 228*t + 108.
3*(t - 9)*(t - 2)**2*(t - 1)
Let 6*h**4/11 + 306*h**3/11 - 120*h**2 = 0. What is h?
-55, 0, 4
Factor l**2/4 - 431*l/2.
l*(l - 862)/4
Let -174*j**3/5 + 249*j**2/5 + 192*j/5 + 12/5 = 0. What is j?
-1/2, -2/29, 2
Factor 9*j**4/5 + 121*j**3/5 + 218*j**2/5 - 1312*j/5 + 128.
(j - 2)*(j + 8)**2*(9*j - 5)/5
Factor -o**2/3 + 38*o/3 - 361/3.
-(o - 19)**2/3
Factor -2*l**4 - 90*l**3 + 282*l**2 - 286*l + 96.
-2*(l - 1)**3*(l + 48)
Let 2*z**5/9 + 10*z**4/9 - 26*z**3/9 + 14*z**2/9 = 0. What is z?
-7, 0, 1
Solve 2*w**2 + 494*w + 1944 = 0 for w.
-243, -4
Factor -2*q**4/5 + 52*q**3/5 + 1518*q**2/5 - 24128*q/5 - 430592/5.
-2*(q - 29)**2*(q + 16)**2/5
Factor -2*p**3/9 + 40*p**2/3 + 122*p/9.
-2*p*(p - 61)*(p + 1)/9
Find l, given that -14*l**4 + 20*l**3 + 22*l**2 - 12*l = 0.
-1, 0, 3/7, 2
Solve -3*g**5 + 51*g**3 + 36*g**2 - 156*g - 144 = 0 for g.
-3, -2, -1, 2, 4
Factor -3*l**3 + 879*l**2 + 1767*l + 885.
-3*(l - 295)*(l + 1)**2
Find o, given that -o**2 - 10*o + 24 = 0.
-12, 2
Factor -5*l**2 + 2190*l - 239805.
-5*(l - 219)**2
Find l, given that l**3 + 77*l**2 + 305*l/4 + 19 = 0.
-76, -1/2
Factor -4*f**3 - 8*f**2 + 32*f.
-4*f*(f - 2)*(f + 4)
What is r in -r**3/5 + 1166*r**2/5 - 2329*r/5 + 1164/5 = 0?
1, 1164
Factor -2*z**4/3 + 2*z**3/3 + 8*z**