 821*o**3/4 - 2095*o**2 - 1999*o - 400 = 0 for o.
-1, -2/7, 2, 400
Let 3*k**4 + 27*k**3 + 72*k**2 + 60*k = 0. Calculate k.
-5, -2, 0
Factor -20*k**2 + 65*k + 175.
-5*(k - 5)*(4*k + 7)
Find m, given that 2*m**3/3 - 4*m**2 = 0.
0, 6
Determine o, given that 16*o**5/5 + 164*o**4/5 + 488*o**3/5 + 496*o**2/5 + 96*o/5 = 0.
-6, -2, -1/4, 0
Factor -3*z**3/5 - 21*z**2/5 + 3*z/5 + 21/5.
-3*(z - 1)*(z + 1)*(z + 7)/5
Solve -4*f**3 - 120*f**2 + 564*f + 680 = 0.
-34, -1, 5
Factor -q**2/3 + 3124*q - 7319532.
-(q - 4686)**2/3
Factor 2*q**2 + 180*q - 182.
2*(q - 1)*(q + 91)
Factor y**4 + 33*y**3 - 35*y**2 - 33*y + 34.
(y - 1)**2*(y + 1)*(y + 34)
Factor 4*r**3/3 - 76*r**2/3 + 332*r/3 - 260/3.
4*(r - 13)*(r - 5)*(r - 1)/3
Factor 4*i**3 - 8*i**2 - 28*i - 16.
4*(i - 4)*(i + 1)**2
Determine r, given that -33*r**5 - 1378*r**4/5 - 1614*r**3/5 - 364*r**2/5 + 51*r/5 + 14/5 = 0.
-7, -1, -1/3, -1/5, 2/11
Suppose -2*n**5/5 + 6*n**4/5 + 6*n**3 - 22*n**2 + 12*n/5 + 144/5 = 0. Calculate n.
-4, -1, 2, 3
Factor -18*o**4 - 3459*o**3 - 221760*o**2 - 4755456*o - 786432.
-3*(o + 64)**3*(6*o + 1)
Determine m, given that -m**4/3 - 5*m**3/3 + 13*m**2/3 - 7*m/3 = 0.
-7, 0, 1
Determine y so that 2*y**3/19 + 218*y**2/19 + 212*y/19 - 432/19 = 0.
-108, -2, 1
Find b, given that -2*b**4 + 50*b**3 - 122*b**2 - 3090*b + 6300 = 0.
-7, 2, 15
Factor 8*p**3 - 220*p**2 + 1456*p + 784.
4*(p - 14)**2*(2*p + 1)
Factor n**2/2 - 4*n + 7/2.
(n - 7)*(n - 1)/2
Suppose 28*r**4 - 148*r**3 - 436*r**2 + 724*r - 168 = 0. What is r?
-3, 2/7, 1, 7
Factor -5*m**2/4 - 45*m/4.
-5*m*(m + 9)/4
Suppose 3*n**5/8 + 3*n**4/8 - 3*n**3/8 - 3*n**2/8 = 0. Calculate n.
-1, 0, 1
Factor c**3/7 - 12*c**2/7 - 15*c/7 + 26/7.
(c - 13)*(c - 1)*(c + 2)/7
Factor 45*q**3 + 460*q**2 - 395*q - 110.
5*(q - 1)*(q + 11)*(9*q + 2)
Factor v**4 + 137*v**3 + 660*v**2.
v**2*(v + 5)*(v + 132)
Factor -z**2 - 3*z + 10.
-(z - 2)*(z + 5)
Factor -i**2 - 1348*i - 454276.
-(i + 674)**2
Let -3*o**2/5 - 33*o/5 - 72/5 = 0. What is o?
-8, -3
Factor o**4/3 + 7*o**3/6 + 7*o**2/6 + o/3.
o*(o + 1)*(o + 2)*(2*o + 1)/6
Factor s**2 - 8180*s + 16728100.
(s - 4090)**2
Factor k**4/2 + 84*k**3 + 490*k**2 + 648*k.
k*(k + 2)*(k + 4)*(k + 162)/2
Solve -r**2/3 + 131*r/3 = 0 for r.
0, 131
Factor 3*p**2 + 15*p + 12.
3*(p + 1)*(p + 4)
What is n in -3*n**2/4 - 39*n - 1353/4 = 0?
-41, -11
Factor -25*l**3 - 560*l**2 - 220*l.
-5*l*(l + 22)*(5*l + 2)
Suppose -3*h**4 - 66*h**3 + 165*h**2 + 516*h + 288 = 0. Calculate h.
-24, -1, 4
Solve -12*y**5 - 339*y**4 - 384*y**3 + 573*y**2 + 162*y = 0.
-27, -2, -1/4, 0, 1
Find o, given that -2*o**2/11 + 112*o/11 - 10 = 0.
1, 55
Find n such that 2*n**3/25 + 2*n**2 - 108*n/25 = 0.
-27, 0, 2
Factor -2*p**4 - 198*p**3 - 4994*p**2 - 4410*p + 9604.
-2*(p - 1)*(p + 2)*(p + 49)**2
Solve 2*k**3/5 - 34*k**2/5 + 44*k/5 + 48 = 0 for k.
-2, 4, 15
Factor -4*i**2 + 3416*i - 729316.
-4*(i - 427)**2
Factor 2*y**4/7 + 8*y**3/7 - 4*y**2/7 - 24*y/7 + 18/7.
2*(y - 1)**2*(y + 3)**2/7
Let 4*g**2 + 2380*g - 2384 = 0. What is g?
-596, 1
Solve -4*w**4 + 48*w**3 - 116*w**2 + 72*w = 0.
0, 1, 2, 9
Factor n**5/5 - 43*n**4/5 + 156*n**3/5 + 16*n**2/5 - 128*n + 624/5.
(n - 39)*(n - 2)**3*(n + 2)/5
Factor -2*m**5 - 6*m**4 - 6*m**3 - 2*m**2.
-2*m**2*(m + 1)**3
Determine x so that -3*x**3/5 + 828*x**2/5 - 3273*x/5 + 2448/5 = 0.
1, 3, 272
Find n, given that 3*n**2 - 156*n + 153 = 0.
1, 51
Solve 5*b**2 - 45 = 0.
-3, 3
Find j such that 2*j**2 - 108*j + 1458 = 0.
27
What is p in -3*p**2 + 18*p + 48 = 0?
-2, 8
Find b such that 2*b**2 - 1614*b/7 + 460/7 = 0.
2/7, 115
Factor -h**3/3 + 17*h**2/3 + 37*h/3 + 19/3.
-(h - 19)*(h + 1)**2/3
Factor -u**5/4 + 9*u**4/4 - 15*u**3/2 + 11*u**2 - 6*u.
-u*(u - 3)*(u - 2)**3/4
Factor -7*g**2/2 - 29*g - 111/2.
-(g + 3)*(7*g + 37)/2
Solve 2*w**4/3 - 19*w**3/3 - 5*w**2 + 52*w/3 - 20/3 = 0.
-2, 1/2, 1, 10
Determine o so that -5*o**5 - 20*o**4 - 20*o**3 + 10*o**2 + 25*o + 10 = 0.
-2, -1, 1
Let 21*u**4 - 230*u**3 + 491*u**2 + 46*u - 48 = 0. What is u?
-1/3, 2/7, 3, 8
Factor -2*q**2/5 + 14*q/5.
-2*q*(q - 7)/5
Factor -2*h**2 - 58*h + 124.
-2*(h - 2)*(h + 31)
Factor z**5/7 - 22*z**4/7 + 20*z**3 - 200*z**2/7.
z**2*(z - 10)**2*(z - 2)/7
Solve 3*q**2/5 - 468*q/5 = 0 for q.
0, 156
Factor -a**5/3 + 5*a**4/3 + 14*a**3/3 + 2*a**2/3 - 13*a/3 - 7/3.
-(a - 7)*(a - 1)*(a + 1)**3/3
Find o, given that -3*o**3 - 132*o**2 - 885*o - 756 = 0.
-36, -7, -1
Factor -2*o**3 + 48*o**2 - 288*o.
-2*o*(o - 12)**2
Find b such that -b**2/2 - 35*b - 69/2 = 0.
-69, -1
Factor -4*r**2 + 1064*r - 3156.
-4*(r - 263)*(r - 3)
Factor -l**2 + 15*l - 36.
-(l - 12)*(l - 3)
Solve -2*s**3/7 - 14*s**2 + 312*s/7 = 0 for s.
-52, 0, 3
What is g in 2*g**4/5 - 2*g**3/5 - 2*g**2/5 + 2*g/5 = 0?
-1, 0, 1
Determine f, given that -14*f**4/11 - 18*f**3/11 + 696*f**2/11 - 472*f/11 - 192/11 = 0.
-8, -2/7, 1, 6
Determine t, given that 8*t**4/9 + 166*t**3/9 - 50*t**2/9 - 166*t/9 + 14/3 = 0.
-21, -1, 1/4, 1
Find t such that t**3/4 + 43*t**2 + 171*t/4 = 0.
-171, -1, 0
Factor -w**4 - 121*w**3 - 4002*w**2 + 10580*w + 1654712.
-(w - 17)*(w + 46)**3
Factor 4*c**3/3 - 100*c**2/3 + 32*c.
4*c*(c - 24)*(c - 1)/3
Find b, given that -b**3/7 - 2*b**2 - 7*b - 36/7 = 0.
-9, -4, -1
Find f, given that -2*f**2/9 + 256*f/9 - 8192/9 = 0.
64
Let 2*b**5/11 - 14*b**4/11 - 78*b**3/11 - 106*b**2/11 - 4*b = 0. What is b?
-2, -1, 0, 11
Let -3*h**5/4 + 9*h**4/4 + 93*h**3/2 - 531*h**2/2 + 1545*h/4 - 675/4 = 0. Calculate h.
-9, 1, 5
Find b such that -b**2/4 - 7*b/4 - 5/2 = 0.
-5, -2
Determine k so that 2*k**3/11 - 10*k**2/11 - 12*k/11 = 0.
-1, 0, 6
Determine b so that -b**5 + 4*b**4 - b**3 - 6*b**2 = 0.
-1, 0, 2, 3
Let 28*s**4 - 16*s**3 - 84*s**2 - 8*s + 32 = 0. Calculate s.
-1, 4/7, 2
Let -320*k**5/3 + 352*k**4/3 + 4*k**3 - 24*k**2 = 0. What is k?
-2/5, 0, 3/4
Factor 5*q**3 - 20*q**2 - 60*q.
5*q*(q - 6)*(q + 2)
Factor -4*d**3 + 112*d**2.
-4*d**2*(d - 28)
Factor 4*x**4 + 68*x**3 + 220*x**2 + 156*x.
4*x*(x + 1)*(x + 3)*(x + 13)
Determine b, given that -3*b**5 + 20*b**4 - 36*b**3 - 2*b**2 + 39*b - 18 = 0.
-1, 2/3, 1, 3
Let 2*a**4/3 - 116*a**3 + 15130*a**2/3 + 464*a - 20184 = 0. What is a?
-2, 2, 87
Factor c**4/3 - 74*c**3/3 + 215*c**2/3 - 142*c/3.
c*(c - 71)*(c - 2)*(c - 1)/3
Determine h, given that -2*h**4/5 + 199*h**3/5 - 97*h**2/5 - 199*h/5 + 99/5 = 0.
-1, 1/2, 1, 99
Factor -q**2 - 27*q - 92.
-(q + 4)*(q + 23)
What is t in -4*t**5 + 66*t**4 - 20*t**3 - 206*t**2 + 228*t - 64 = 0?
-2, 1/2, 1, 16
Find u, given that 2*u**3/5 - 44*u**2 - 446*u/5 - 224/5 = 0.
-1, 112
Factor -4528*q**3 + 9068*q**2 - 4552*q + 12.
-4*(q - 1)**2*(1132*q - 3)
Factor 135*d**2 - 2150*d - 160.
5*(d - 16)*(27*d + 2)
Suppose 3*i**3/2 - 6*i**2 - 33*i/2 - 9 = 0. Calculate i.
-1, 6
Determine m, given that 3*m**4 - 9*m**3 = 0.
0, 3
Find y such that 3*y**4 - 4173*y**3/2 - 14667*y**2/2 - 4200*y + 4194 = 0.
-2, 1/2, 699
Find v, given that -2*v**3/13 - 2*v**2/13 + 32*v/13 - 40/13 = 0.
-5, 2
Solve 3*a**3/8 - 1215*a**2/4 + 164025*a/2 - 7381125 = 0 for a.
270
Suppose 3*j**5/5 + 291*j**4/5 - 3*j**3/5 - 291*j**2/5 = 0. Calculate j.
-97, -1, 0, 1
Factor -4*g**4/9 + 44*g**3/9 - 16*g**2 + 64*g/9 + 256/9.
-4*(g - 4)**3*(g + 1)/9
Factor 15*p**3 + 460*p**2 - 1145*p + 330.
5*(p - 2)*(p + 33)*(3*p - 1)
Factor a**4/6 - 43*a**3/3 + 406*a**2 - 10933*a/3 - 24389/6.
(a - 29)**3*(a + 1)/6
Suppose -q**3/2 + 65*q**2/2 - 236*q + 456 = 0. What is q?
4, 57
Factor -n**4 - 3*n**3 + 12*n**2 + 20*n - 48.
-(n - 2)**2*(n + 3)*(n + 4)
Determine y so that y**4 - 2*y**3/3 - 8*y**2/3 = 0.
-4/3, 0, 2
Factor r**5/2 + 65*r**4/2 - 207*r**3 + 421*r**2 - 707*r/2 + 213/2.
(r - 3)*(r - 1)**3*(r + 71)/2
What is z in -2*z**5/7 + 146*z**4/7 - 514*z**3 + 33550*z**2/7 - 12816*z - 18144 = 0?
-1, 9, 28
Factor 3*r**2 + 1146*r + 1143.
3*(r + 1)*(r + 381)
Factor -2*w**3 + 570*w**2 - 1684*w - 2256.
-2*(w - 282)*(w - 4)*(w + 1)
Determine g so that -78*g**2/7 + 394*g/7 - 20/7 = 0.
2/39, 5
Factor -2*n**2/11 + 70*n/11 - 392/11.
-2*(n - 28)*(n - 7)/11
Factor 9*d**2/2 - 141*d - 96.
3*(d - 32)*(3*d + 2)/2
Factor 3*f**4/4 - 15*f**3/2 + 18*f**2 + 24*f - 96.
3*(f - 4)**3*(f + 2)/4
Factor -2*g**5/9 - 32*g**4/9 - 12*g**3 - 152*g**2/9 - 98*g/9 - 8/3.
-2*(g + 1)**4*(g + 12)/9
Factor c**2/2 - 215*c/2 + 422.
(c - 211)*(c - 4)/2
Factor 4*q**2/3 + 356*q/3 - 1176.
4*(q - 9)*(q + 98)/3
Factor o**5/3 - 8*o**4/3 + 20*o**3/3 - 16*o**2/3.
o**2*(o - 4)*(o - 