
Suppose -3*o**4 + 561*o**3 + 3*o**2 - 561*o = 0. Calculate o.
-1, 0, 1, 187
Solve -20449*j**4 - 1144*j**3 - 16*j**2 = 0.
-4/143, 0
Determine f, given that -2*f**4 - 44*f**3 + 200*f**2 - 208*f = 0.
-26, 0, 2
Factor 2*o**2/9 + 4*o + 64/9.
2*(o + 2)*(o + 16)/9
Determine w, given that -15*w**3 - 36*w**2 - 12*w = 0.
-2, -2/5, 0
Factor c**3/3 - 15*c**2 + 44*c/3.
c*(c - 44)*(c - 1)/3
Factor -5*v**3 + 40*v**2 + 165*v.
-5*v*(v - 11)*(v + 3)
Suppose 2*i**4/7 + 10*i**3/7 - 2*i**2/7 - 10*i/7 = 0. What is i?
-5, -1, 0, 1
What is b in 3*b**3/2 + 63*b**2/2 + 285*b/2 + 225/2 = 0?
-15, -5, -1
Factor -t**2/9 + 62*t/9.
-t*(t - 62)/9
Let -4*k**5 - 12*k**4 + 4*k**3 + 12*k**2 = 0. Calculate k.
-3, -1, 0, 1
Find h, given that 45*h**3 + 235*h**2 + 50*h = 0.
-5, -2/9, 0
Factor 2*u**4/3 + 140*u**3.
2*u**3*(u + 210)/3
Find q such that 4*q**2 - 496*q + 492 = 0.
1, 123
Solve -12*v**4/5 + 788*v**3/5 - 2044*v**2/5 + 1772*v/5 - 504/5 = 0 for v.
2/3, 1, 63
Solve 3*p**5 + 9*p**4 - 9*p**3 - 33*p**2 - 18*p = 0.
-3, -1, 0, 2
Factor -5*x**4 + 65*x**3 - 235*x**2 + 295*x - 120.
-5*(x - 8)*(x - 3)*(x - 1)**2
Factor -2*h**2/11 + 3940*h/11 - 1940450/11.
-2*(h - 985)**2/11
Factor n**3 + 62*n**2 + 121*n + 60.
(n + 1)**2*(n + 60)
Find g, given that g**2/4 - 287*g/2 - 575/4 = 0.
-1, 575
Factor 3*q**2/8 - 57*q/2.
3*q*(q - 76)/8
Factor u**3/4 + u**2 - 15*u/4 - 9/2.
(u - 3)*(u + 1)*(u + 6)/4
Find i, given that -4761*i**5 - 6693*i**4 - 2128*i**3 - 196*i**2 = 0.
-1, -14/69, 0
Factor -o**4/5 - 54*o**3/5 + 476*o**2/5 - 1224*o/5 + 992/5.
-(o - 4)*(o - 2)**2*(o + 62)/5
Solve -d**3/4 - 5*d**2/2 - 7*d/4 + 9/2 = 0 for d.
-9, -2, 1
Factor -4*z**2 + 60*z.
-4*z*(z - 15)
Let 3*k**4 - 10*k**3 - 36*k**2 + 58*k - 15 = 0. Calculate k.
-3, 1/3, 1, 5
Find u such that 4*u**4 - 44*u**3 - 104*u**2 = 0.
-2, 0, 13
Factor 147*s**3 + 144*s**2 - 3*s.
3*s*(s + 1)*(49*s - 1)
Let -l**5/4 - 491*l**4/4 - 977*l**3/2 - 1463*l**2/2 - 1949*l/4 - 487/4 = 0. What is l?
-487, -1
Let a**3 + 219*a**2 + 15987*a + 389017 = 0. Calculate a.
-73
Factor -2*t**3/3 + 3500*t**2/3 - 1531250*t/3.
-2*t*(t - 875)**2/3
Factor -m**4 - m**3 + 5*m**2 - 3*m.
-m*(m - 1)**2*(m + 3)
Suppose 3*m**2 + 57*m = 0. Calculate m.
-19, 0
Factor -2*q**4/9 - 388*q**3/9 - 18026*q**2/9 + 8536*q - 8712.
-2*(q - 2)**2*(q + 99)**2/9
Determine r, given that -4*r**5 + 308*r**4 + 12*r**3 - 932*r**2 + 616*r = 0.
-2, 0, 1, 77
Factor 4*g**5 - 116*g**4 + 1000*g**3 - 2344*g**2 + 2132*g - 676.
4*(g - 13)**2*(g - 1)**3
Factor 2*j**3/7 - 2*j/7.
2*j*(j - 1)*(j + 1)/7
Factor -4*q**3/9 - 508*q**2/9 + 1028*q/9 - 172/3.
-4*(q - 1)**2*(q + 129)/9
Factor -4*b**2 - 3960*b - 980100.
-4*(b + 495)**2
Factor 5*n**2 + 3240*n + 524880.
5*(n + 324)**2
Find j, given that 2*j**2/21 + 20*j/21 - 26/7 = 0.
-13, 3
Solve -2*l**4/13 + 8*l**3/13 + 2*l**2/13 - 8*l/13 = 0.
-1, 0, 1, 4
Find b such that -55*b**2 + 5*b + 60 = 0.
-1, 12/11
Solve -3*o**3/4 - 195*o**2/4 - 189*o/2 = 0.
-63, -2, 0
Factor 4*b**2 - 40*b + 96.
4*(b - 6)*(b - 4)
Factor 2*g**2 + 30*g - 572.
2*(g - 11)*(g + 26)
Factor p**3/8 - 7*p**2/8 - 41*p/8 - 33/8.
(p - 11)*(p + 1)*(p + 3)/8
Find j, given that j**3 + j**2 - 20*j = 0.
-5, 0, 4
Factor 75*w**4/7 - 180*w**3/7 + 9*w**2 - 6*w/7.
3*w*(w - 2)*(5*w - 1)**2/7
Factor i**3 + 44*i**2 - 292*i + 400.
(i - 4)*(i - 2)*(i + 50)
Suppose 4*f**4 - 368*f**3 + 716*f**2 + 368*f - 720 = 0. Calculate f.
-1, 1, 2, 90
What is f in f**3/2 - 65*f**2/6 + 7*f = 0?
0, 2/3, 21
Solve 65*j**3 + 120*j**2 + 45*j - 10 = 0.
-1, 2/13
Determine f so that -f**4 - 8*f**3 + 19*f**2 - 10*f = 0.
-10, 0, 1
Factor -2*u**3 + 680*u**2 - 1352*u.
-2*u*(u - 338)*(u - 2)
Factor 2*b**4/5 - 2*b**3/5 - 18*b**2/5 - 22*b/5 - 8/5.
2*(b - 4)*(b + 1)**3/5
Suppose -5*q**2/4 + 10*q + 325/4 = 0. What is q?
-5, 13
Factor 2*m**4 - 52*m**3 + 96*m**2.
2*m**2*(m - 24)*(m - 2)
Factor w**4/6 - 13*w**3/6 - 19*w**2/6 + 73*w/6 - 7.
(w - 14)*(w - 1)**2*(w + 3)/6
Factor 2*v**2 + 134*v + 260.
2*(v + 2)*(v + 65)
Let 5*o**4 - 335*o**3 + 955*o**2 + 335*o - 960 = 0. Calculate o.
-1, 1, 3, 64
Suppose 5*y**3 - 1135*y**2 + 62675*y + 198375 = 0. Calculate y.
-3, 115
Suppose j**2/2 + 1543*j/2 = 0. Calculate j.
-1543, 0
Suppose -r**2/4 + 37*r/2 = 0. Calculate r.
0, 74
Suppose 4*k**3/3 - 82*k**2/9 - 14*k/9 = 0. Calculate k.
-1/6, 0, 7
Factor -2*z**3/7 + 2*z**2/7 + 8*z/7 - 8/7.
-2*(z - 2)*(z - 1)*(z + 2)/7
Factor a**2/3 + 5870*a/3 + 8614225/3.
(a + 2935)**2/3
Let 2*r**2 + 752*r = 0. Calculate r.
-376, 0
Factor -2*p**4 - 64*p**3 + 210*p**2.
-2*p**2*(p - 3)*(p + 35)
Factor f**2 - 27*f + 50.
(f - 25)*(f - 2)
Find s such that -s**5 - 17*s**4 - 57*s**3 - 67*s**2 - 26*s = 0.
-13, -2, -1, 0
Factor m**2 + 52*m - 108.
(m - 2)*(m + 54)
Solve -3*s**3 - 15*s**2 + 51*s + 63 = 0 for s.
-7, -1, 3
Factor -24*k**2 + 36*k - 27/2.
-3*(4*k - 3)**2/2
Factor -5*d**2/6 + 100*d/3 - 190/3.
-5*(d - 38)*(d - 2)/6
Find u such that -3*u**3/7 + 909*u**2/7 - 258*u = 0.
0, 2, 301
Factor -32*g**4/5 - 176*g**3/5 + 312*g**2/5 - 164*g/5 + 28/5.
-4*(g + 7)*(2*g - 1)**3/5
Find z such that z**4/4 + 73*z**3/4 - 151*z**2/4 - 73*z/4 + 75/2 = 0.
-75, -1, 1, 2
Determine b so that -14*b**5/5 - 178*b**4/5 - 438*b**3/5 + 826*b**2/5 - 196*b/5 = 0.
-7, 0, 2/7, 1
What is p in -27*p**2 + 399*p + 90 = 0?
-2/9, 15
Solve -b**2/2 + 8*b - 14 = 0 for b.
2, 14
Factor y**4/4 + 17*y**3/4 - 57*y**2/4 + 59*y/4 - 5.
(y - 1)**3*(y + 20)/4
Find p such that 5*p**2 + 180*p - 185 = 0.
-37, 1
Let 4*a**3/7 + 62*a**2/7 + 174*a/7 + 72/7 = 0. Calculate a.
-12, -3, -1/2
Factor 5*y**2 + 770*y - 775.
5*(y - 1)*(y + 155)
Factor 2*d**2/5 + 198*d/5 + 388/5.
2*(d + 2)*(d + 97)/5
Find s such that -2*s**2/5 - 1104*s/5 - 152352/5 = 0.
-276
Factor -h**4/5 + 6*h**3/5 - 3*h**2/5 - 2*h.
-h*(h - 5)*(h - 2)*(h + 1)/5
Factor m**4/7 + 2*m**3 + 61*m**2/7 + 12*m + 36/7.
(m + 1)**2*(m + 6)**2/7
Factor -b**2/6 + 25*b/3 - 625/6.
-(b - 25)**2/6
Determine p so that 21*p**5 + 1392*p**4 + 1656*p**3 - 6402*p**2 + 2163*p + 1170 = 0.
-65, -3, -2/7, 1
Factor 2*l**2/11 + 54*l/11 + 280/11.
2*(l + 7)*(l + 20)/11
Solve 2*j**4/7 - 2*j**3 - 16*j**2/7 = 0 for j.
-1, 0, 8
What is u in u**3 + 10*u**2 + 9*u = 0?
-9, -1, 0
Suppose 5*k**4 - 30*k**3 + 40*k**2 = 0. Calculate k.
0, 2, 4
Determine a, given that a**4 - 5*a**3 + 7*a**2 - 3*a = 0.
0, 1, 3
Suppose 3*o**4 - 18*o**3 - 408*o**2 + 18*o + 405 = 0. What is o?
-9, -1, 1, 15
Solve 2*l**2/3 - 120*l - 366 = 0.
-3, 183
Let s**4/5 - 8*s**3 + 77*s**2/5 - 38*s/5 = 0. What is s?
0, 1, 38
What is c in 16*c**3 + 32*c**2 - 12*c - 36 = 0?
-3/2, 1
Let 2*h**5 + 42*h**4 + 196*h**3 - 284*h**2 - 198*h + 242 = 0. What is h?
-11, -1, 1
Factor -z**4 + 49*z**3 - 511*z**2 - 561*z.
-z*(z - 33)*(z - 17)*(z + 1)
Let o**2/4 - 3*o = 0. Calculate o.
0, 12
Factor 3*x**2/4 - 33*x/2 + 30.
3*(x - 20)*(x - 2)/4
Find t, given that 5*t**3 + 580*t**2 + 1145*t + 570 = 0.
-114, -1
Factor -3*t**3/4 - 75*t**2/4 + 159*t/4 - 81/4.
-3*(t - 1)**2*(t + 27)/4
Factor -3*q**4 - 24*q**3 - 45*q**2 + 24*q + 48.
-3*(q - 1)*(q + 1)*(q + 4)**2
Find j, given that 3*j**2 + 108*j + 897 = 0.
-23, -13
Factor 12*z**4 - 32*z**3 - 60*z**2 - 16*z.
4*z*(z - 4)*(z + 1)*(3*z + 1)
Factor z**3/5 + 4*z**2/5 - 27*z/5 - 18.
(z - 5)*(z + 3)*(z + 6)/5
Factor 2*q**3/7 - 30*q**2/7 - 32*q/7.
2*q*(q - 16)*(q + 1)/7
What is s in -4*s**4/3 - 32*s**3/3 - 52*s**2/3 - 8*s = 0?
-6, -1, 0
Determine v, given that 3*v**5/7 + 51*v**4/7 + 237*v**3/7 + 141*v**2/7 - 240*v/7 - 192/7 = 0.
-8, -1, 1
Factor 2*i**2/7 + 446*i/7 + 884/7.
2*(i + 2)*(i + 221)/7
Let 9*h**5 - 114*h**4 - 324*h**3 + 114*h**2 + 315*h = 0. Calculate h.
-7/3, -1, 0, 1, 15
Factor 2*t**2/13 - 20*t/13 - 6.
2*(t - 13)*(t + 3)/13
Solve -d**2/2 + 26*d - 338 = 0.
26
Solve -q**3/2 - 19*q**2/4 - 8*q - 15/4 = 0.
-15/2, -1
Solve -2*i**4/3 - 34*i**3/15 + 118*i**2/15 + 202*i/15 + 4 = 0.
-5, -1, -2/5, 3
What is v in -3*v**3 + 9*v**2 - 12 = 0?
-1, 2
What is w in 2*w**2/5 - 46*w/5 - 48/5 = 0?
-1, 24
Solve -f**4/4 + 5*f**3/4 + 3*f**2/2 = 0 for f.
-1, 0, 6
Solve -3*x**3/7 + 3*x**2/7 + 18*x/7 = 0.
-2, 0, 3
Factor 2*t**5 + 12*t**4 + 18*t**3 + 8*t**2.
2*t**2*(t + 1)**2*(t + 4)
Factor -f**3 + 5805*f**2/2 - 2106852*f + 2105401/2.
-(f - 1451)**2*(2*f - 1)/2
Determine n, given that 121*n**5/2 - 176*n**4 - 4*n**3 + 192*n**2 + 72*n = 0.
-6/11, 0, 2
Find z such that -z**2 - 834*z - 173889 = 0.
-417
Determine k so that -2*k**3 - 18*k**2 + 114*k + 130 = 0.
-13, -1, 5
Factor k*