*u/3 - 83/3 = 0 for u.
-83, -1
Suppose -28*n**3 + 792*n**2 - 224*n = 0. What is n?
0, 2/7, 28
What is m in -27*m**5/2 - 6*m**4 + 21*m**3 + 6*m**2 - 15*m/2 = 0?
-1, 0, 5/9, 1
Factor 3*n**2/5 - 2862*n/5 + 682587/5.
3*(n - 477)**2/5
Let -845*r**5 + 260*r**4 + 825*r**3 - 260*r**2 + 20*r = 0. Calculate r.
-1, 0, 2/13, 1
Factor -4*b**3/5 + 508*b**2/5.
-4*b**2*(b - 127)/5
Let -k**3/12 + k/12 = 0. What is k?
-1, 0, 1
What is i in 2*i**4/9 - 10*i**3/3 + 12*i**2 + 24*i - 144 = 0?
-3, 6
Find m, given that -2*m**5/7 - 20*m**4/7 - 54*m**3/7 - 4*m**2 + 8*m + 48/7 = 0.
-6, -2, -1, 1
Factor 259200*u**3 - 25065*u**2 + 692*u - 4.
(45*u - 2)**2*(128*u - 1)
Factor o**5 + o**4 - 12*o**3 - 28*o**2 - 16*o.
o*(o - 4)*(o + 1)*(o + 2)**2
Find x such that 5*x**4 + 40*x**3 + 110*x**2 + 120*x + 45 = 0.
-3, -1
Solve 4*i**2 - 656*i + 26896 = 0 for i.
82
Determine q, given that 5*q**2 - 105*q = 0.
0, 21
What is o in 3*o**4 - 12*o**3 + 3*o**2 + 18*o = 0?
-1, 0, 2, 3
Let -l**4/2 + 25*l**2/2 + 30*l + 18 = 0. What is l?
-3, -2, -1, 6
Suppose 2*g**2 + 644*g + 1280 = 0. What is g?
-320, -2
Let -v**5/3 - 5*v**4/3 - v**3 + 5*v**2/3 + 4*v/3 = 0. Calculate v.
-4, -1, 0, 1
Solve 2*m**2/9 + 224*m/9 + 6272/9 = 0.
-56
What is c in -5*c**4 - 310*c**3 - 2520*c**2 - 7290*c - 7155 = 0?
-53, -3
Factor -2*r**2/13 - 58*r/13 + 60/13.
-2*(r - 1)*(r + 30)/13
Factor 2*d**2/5 - 22*d/5 + 36/5.
2*(d - 9)*(d - 2)/5
Let -2*a**3 + 24*a**2 + 120*a + 128 = 0. What is a?
-2, 16
Factor -2*i**3 + 744*i**2 + 6048*i + 12160.
-2*(i - 380)*(i + 4)**2
Factor -14*z**3 + 223*z**2/2 + 5*z - 8.
-(z - 8)*(4*z - 1)*(7*z + 2)/2
Find q such that 9*q**4 - 3903*q**3 + 25737*q**2 - 50013*q + 23058 = 0.
2/3, 3, 427
Suppose 2*l**2/5 + 98*l/5 - 204/5 = 0. Calculate l.
-51, 2
Factor -27*r**4/4 + 171*r**3 - 1191*r**2 + 1368*r - 432.
-3*(r - 12)**2*(3*r - 2)**2/4
Suppose -3*f**2 + 504*f - 21168 = 0. What is f?
84
Factor 3*g**3 + 1794*g**2 + 269988*g + 532824.
3*(g + 2)*(g + 298)**2
Suppose 2*n**4 + 12*n**3 + 6*n**2 - 20*n = 0. What is n?
-5, -2, 0, 1
Factor 3*y**2/2 + 459*y/2 + 1110.
3*(y + 5)*(y + 148)/2
Let -5*j**4 + 25*j**3 + 55*j**2 - 165*j + 90 = 0. What is j?
-3, 1, 6
Let v**4 + 10*v**3 - v**2 - 10*v = 0. Calculate v.
-10, -1, 0, 1
Factor 4*h**2/5 + 72*h + 1620.
4*(h + 45)**2/5
Determine z, given that 2*z**2/3 + 14*z - 92/3 = 0.
-23, 2
Factor -2*z**4 + 45*z**3 + 96*z**2 + 49*z.
-z*(z + 1)**2*(2*z - 49)
Determine m so that 2*m**4/9 + 2*m**3/3 - 4*m**2/9 - 8*m/3 - 16/9 = 0.
-2, -1, 2
Factor 2*p**2 - 38*p + 68.
2*(p - 17)*(p - 2)
Factor 3*j**2 + 3543*j + 3540.
3*(j + 1)*(j + 1180)
Factor -5*t**3 - 510*t**2 + 3855*t + 4360.
-5*(t - 8)*(t + 1)*(t + 109)
Let 3*z**2 + 177*z - 558 = 0. What is z?
-62, 3
Suppose 3*k**4/2 - 21*k**2/2 + 9*k = 0. What is k?
-3, 0, 1, 2
Suppose 7*n**4/4 - 177*n**3/4 + 25*n**2/2 = 0. Calculate n.
0, 2/7, 25
Find i such that -i**4 - 59*i**3 + 1096*i**2 - 1036*i = 0.
-74, 0, 1, 14
Factor f**5/2 - 9*f**4/2 - 2*f**3 + 18*f**2.
f**2*(f - 9)*(f - 2)*(f + 2)/2
Let -51*d**4 - 516*d**3 - 1131*d**2 - 126*d = 0. What is d?
-7, -3, -2/17, 0
Solve -9*c**4 + 267*c**3 - 873*c**2 + 381*c + 234 = 0 for c.
-1/3, 1, 3, 26
Determine w, given that -4*w**3/3 + w**2/3 = 0.
0, 1/4
Solve 2*z**3 - 862*z**2 + 3422*z - 2562 = 0.
1, 3, 427
Solve -2*w**2/7 - 88*w/7 - 968/7 = 0 for w.
-22
Factor 5*g**2/4 - 1775*g/2 - 3555/4.
5*(g - 711)*(g + 1)/4
Suppose -5*y**5 + 225*y**4 - 895*y**3 - 4085*y**2 - 4560*y - 1600 = 0. Calculate y.
-1, 8, 40
Let 2*n**5 + 24*n**4 + 54*n**3 - 8*n**2 - 72*n = 0. What is n?
-9, -2, 0, 1
Suppose j**4/7 - 60*j**3/7 + 772*j**2/7 + 3840*j/7 + 4096/7 = 0. What is j?
-2, 32
Find m, given that 4*m**4 - 51*m**3 + 115*m**2 - 48*m - 20 = 0.
-1/4, 1, 2, 10
Factor 3*q**3 - 45*q**2 + 6*q + 936.
3*(q - 13)*(q - 6)*(q + 4)
Solve -72*q**4 - 111*q**3 + 333*q**2 + 444*q - 180 = 0.
-2, -15/8, 1/3, 2
Find w, given that -2*w**3 - 350*w**2 - 694*w - 346 = 0.
-173, -1
Determine r, given that 21*r**3 + 321*r**2 - 5916*r - 1716 = 0.
-26, -2/7, 11
Determine r, given that -5*r**3 - 188*r**2 - 911*r - 480 = 0.
-32, -5, -3/5
Suppose 48*i**2 + 90*i + 27 = 0. What is i?
-3/2, -3/8
Find f, given that 3*f**2/5 - 159*f = 0.
0, 265
Factor -w**4 - 2*w**3 - w**2.
-w**2*(w + 1)**2
Factor 2*o**2 + 6*o - 8.
2*(o - 1)*(o + 4)
Find o, given that -3*o**3 - 162*o**2 - 585*o + 750 = 0.
-50, -5, 1
Let -6*z**5/11 + 382*z**4/11 + 146*z**3/11 - 1134*z**2/11 - 1148*z/11 - 256/11 = 0. What is z?
-1, -1/3, 2, 64
Factor 4*b**4 - 8*b**3 + 4*b**2.
4*b**2*(b - 1)**2
Let 3*p**5 + 90*p**4/7 - 606*p**3/7 - 2280*p**2/7 + 2025*p/7 + 750/7 = 0. Calculate p.
-5, -2/7, 1, 5
Find s such that -s**2/11 - 3*s + 34/11 = 0.
-34, 1
Factor -5*y**4 + 350*y**3 - 6780*y**2 + 22770*y - 16335.
-5*(y - 33)**2*(y - 3)*(y - 1)
Factor -2*q**5/7 - 160*q**4/7 - 2690*q**3/7 + 20140*q**2/7 - 43000*q/7 + 29584/7.
-2*(q - 2)**3*(q + 43)**2/7
What is w in -3*w**3/7 + 96*w**2/7 + 99*w/7 = 0?
-1, 0, 33
Determine x so that 4*x**2 - 1488*x + 138384 = 0.
186
Suppose 3*g**3 + 1740*g**2 + 252300*g = 0. What is g?
-290, 0
Factor -v**3 + 150*v**2 + 5967*v + 53176.
-(v - 184)*(v + 17)**2
Let 2*y**5/11 - 8*y**4/11 - 6*y**3/11 + 20*y**2/11 + 16*y/11 = 0. What is y?
-1, 0, 2, 4
Factor 18*w**3/5 - 64*w**2/5 + 6*w.
2*w*(w - 3)*(9*w - 5)/5
Factor x**4/2 - 370*x**3 + 102675*x**2 - 12663250*x + 1171350625/2.
(x - 185)**4/2
Let 3*k**3 - 45*k**2 + 36*k + 84 = 0. What is k?
-1, 2, 14
Factor 2*s**3/3 + 6*s**2 + 10*s + 14/3.
2*(s + 1)**2*(s + 7)/3
Factor -3*n**4/5 - 3*n**3 - 18*n**2/5 + 12*n/5 + 24/5.
-3*(n - 1)*(n + 2)**3/5
Suppose h**4/2 - 23*h**3/2 + 21*h**2 = 0. What is h?
0, 2, 21
Solve 2*c**2/5 - 22*c - 120 = 0 for c.
-5, 60
Let -f**3/4 - 9*f**2 - 69*f/4 - 17/2 = 0. Calculate f.
-34, -1
Factor 2*q**2 - 202*q - 204.
2*(q - 102)*(q + 1)
Factor -3*b**5/2 + 3*b**4/2 + 3*b**3.
-3*b**3*(b - 2)*(b + 1)/2
Factor -5*n**4 + 55*n**3 + 130*n**2.
-5*n**2*(n - 13)*(n + 2)
Suppose -3*i**3 - 198*i**2 - 1257*i - 1062 = 0. What is i?
-59, -6, -1
Factor p**4/3 + 26*p**3/3 - 9*p**2.
p**2*(p - 1)*(p + 27)/3
Find r, given that -105*r**4 - 835*r**3 + 995*r**2 + 35*r - 90 = 0.
-9, -2/7, 1/3, 1
Find u, given that -2*u**3 + 1156*u**2 - 2306*u + 1152 = 0.
1, 576
Let -5*l**3 + 340*l**2 - 335*l = 0. Calculate l.
0, 1, 67
Factor -27*y**2/2 - 93*y + 21/2.
-3*(y + 7)*(9*y - 1)/2
Factor -4*a**2 - 772*a + 1560.
-4*(a - 2)*(a + 195)
Factor 5*r**4 - 68*r**3 + 37*r**2 + 26*r.
r*(r - 13)*(r - 1)*(5*r + 2)
Determine v, given that -2*v**4 + 14*v**3 - 36*v**2 + 40*v - 16 = 0.
1, 2
Factor 9*g**3 - 43*g**2 + 26*g + 8.
(g - 4)*(g - 1)*(9*g + 2)
Find n such that n**5/2 - 5*n**4 + 27*n**3/2 - 9*n**2 = 0.
0, 1, 3, 6
Factor 2*g**4/17 + 48*g**3/17 + 332*g**2/17 + 528*g/17 + 242/17.
2*(g + 1)**2*(g + 11)**2/17
Determine g so that -3*g**2/11 + 1124*g/11 - 68 = 0.
2/3, 374
Suppose -5*m**5 + 40*m**4 - 20*m**3 - 330*m**2 + 585*m - 270 = 0. What is m?
-3, 1, 3, 6
Determine m so that 2*m**5/3 - 64*m**4/15 + 94*m**3/15 + 32*m**2/15 - 104*m/15 + 32/15 = 0.
-1, 2/5, 1, 2, 4
Factor g**3/6 - 422*g**2 + 356168*g - 300605792/3.
(g - 844)**3/6
Factor -j**4/4 + 79*j**3/4 - 77*j**2/4 - 79*j/4 + 39/2.
-(j - 78)*(j - 1)**2*(j + 1)/4
Factor a**3 - 49*a**2 + 624*a - 576.
(a - 24)**2*(a - 1)
Factor -4*d**2 - 164*d - 592.
-4*(d + 4)*(d + 37)
Solve -l**2/6 - 11*l/3 - 7/2 = 0 for l.
-21, -1
Factor -5*u**3 - 190*u**2 + 1275*u - 1980.
-5*(u - 3)**2*(u + 44)
Factor 2*m**3/13 - 1138*m**2/13 - 2282*m/13 - 1142/13.
2*(m - 571)*(m + 1)**2/13
Solve -2*z**4/7 - 9*z**3/7 - z**2 + 9*z/7 + 9/7 = 0 for z.
-3, -3/2, -1, 1
Factor z**3 + 145*z**2 + 144*z.
z*(z + 1)*(z + 144)
Find m such that m**2 - 26*m + 25 = 0.
1, 25
Factor 4*w**3 - 236*w**2 - 500*w + 732.
4*(w - 61)*(w - 1)*(w + 3)
Factor -2*a**5/3 + 934*a**4/3 - 54444*a**3 + 4216212*a**2 - 120654846*a - 124925814.
-2*(a - 117)**4*(a + 1)/3
Suppose -49*g**5 - 2037*g**4 - 18400*g**3 + 61128*g**2 + 39248*g + 5808 = 0. What is g?
-22, -2/7, 3
Find p, given that -4*p**3 + 796*p**2 = 0.
0, 199
Factor 4*l**4 + 840*l**3 + 43252*l**2 - 89040*l + 44944.
4*(l - 1)**2*(l + 106)**2
Suppose -18*i**3 - 112*i**2 - 186*i - 36 = 0. Calculate i.
-3, -2/9
Factor -14*d**3 - 186*d**2 - 52*d.
-2*d*(d + 13)*(7*d + 2)
Factor -10*v**4 - 14*v**3 + 16*v**2 + 8*v.
-2*v*(v - 1)*(v + 2)*(5*v + 2)
Factor 2*h**3/3 + 484*h**2 + 117128*h + 28344976/3.
2*(h + 242)**3/3
Suppose 