k**3 + 1089090*k**2 - 3267540*k + 3267675 = 0.
-24205, 3
Determine r, given that -2*r**4 - 44*r**3 + 174*r**2 + 4392*r - 20520 = 0.
-19, -15, 6
What is t in -10*t**4 + 765*t**3 + 19610*t**2 + 26865*t - 18430 = 0?
-19, -2, 1/2, 97
Solve -k**5 + 569*k**4 - 80082*k**3 - 244244*k**2 - 163592*k = 0.
-2, -1, 0, 286
Suppose -2*i**3/5 + 1162*i**2/5 - 19176*i/5 = 0. Calculate i.
0, 17, 564
Factor -2*o**3 - 83126*o**2 - 863783046*o - 863699922.
-2*(o + 1)*(o + 20781)**2
Factor 1306*v**2 + 1810*v + 504.
2*(v + 1)*(653*v + 252)
Factor s**2/4 + 69873*s/2 + 419229/4.
(s + 3)*(s + 139743)/4
Factor 2*o**2/13 - 176736*o + 50757872256.
2*(o - 574392)**2/13
Factor -3*p**4 + 27*p**3 - 51*p**2 - 99*p + 270.
-3*(p - 5)*(p - 3)**2*(p + 2)
Factor -20*u**2 + 9716*u + 1944.
-4*(u - 486)*(5*u + 1)
Solve -3*o**5 - 38*o**4 + 273*o**3 + 912*o**2 + 476*o = 0 for o.
-17, -2, -2/3, 0, 7
Let -w**4/6 - 377*w**3/3 + w**2/6 + 377*w/3 = 0. What is w?
-754, -1, 0, 1
Let 5*n**4 + 430*n**3 + 6000*n**2 + 28640*n + 44800 = 0. Calculate n.
-70, -8, -4
Suppose l**4/4 + 193*l**3/2 + 10932*l**2 + 591487*l/2 - 1227089/4 = 0. Calculate l.
-173, -41, 1
Determine g so that g**5 - 457*g**4 + 436*g**3 + 9120*g**2 = 0.
-4, 0, 5, 456
Factor 20*b**3 - 27032*b**2 - 64976*b - 21664.
4*(b - 1354)*(b + 2)*(5*b + 2)
Find z, given that -z**5/5 - 438*z**4/5 - 45712*z**3/5 + 494592*z**2/5 - 802816*z/5 = 0.
-224, 0, 2, 8
Factor j**3 + 25*j**2 - 252*j + 396.
(j - 6)*(j - 2)*(j + 33)
Suppose -2*m**4/5 + 24*m**3/5 - 62*m**2/5 - 24*m/5 + 64/5 = 0. Calculate m.
-1, 1, 4, 8
Solve -2*n**5 - 452*n**4 + 21816*n**3 - 20908*n**2 - 21814*n + 21360 = 0.
-267, -1, 1, 40
Solve -5*y**5 - 2645*y**4 - 332090*y**3 + 4711390*y**2 - 8415905*y + 4039255 = 0.
-271, 1, 11
Determine c so that -c**5/3 - 1273*c**4/3 - 27060*c**3 - 456608*c**2/3 - 892928*c/3 - 196176 = 0.
-1206, -61, -2
Find w such that -2*w**5 - 32*w**4 + 1948*w**3 - 21032*w**2 + 72358*w - 53240 = 0.
-44, 1, 5, 11
Let 14*q**4 - 6458*q**3 + 14710*q**2 - 10102*q + 1836 = 0. What is q?
2/7, 1, 459
What is v in 5*v**5/2 + 837*v**4/2 + 34249*v**3/2 + 540991*v**2/2 + 1530255*v + 569908 = 0?
-116, -17, -2/5
Factor s**2/9 - 7579*s/3.
s*(s - 22737)/9
Find g such that 2*g**5/7 + 94*g**4/7 - 132*g**3/7 - 1696*g**2/7 + 1600*g/7 + 3072/7 = 0.
-48, -4, -1, 2, 4
Solve a**4 - 38*a**3 - 924*a**2 - 1210*a + 33275 = 0.
-11, 5, 55
Let -c**5/6 + 58*c**4/3 - 1835*c**3/3 - 882*c**2 + 396165*c/2 = 0. What is c?
-15, 0, 33, 49
What is f in -3*f**4 - 780*f**3 - 10437*f**2 - 25896*f - 16236 = 0?
-246, -11, -2, -1
Suppose 7*z**3/2 + 1508*z**2 - 6493*z/2 + 433 = 0. What is z?
-433, 1/7, 2
Determine j so that 2*j**5 - 436*j**4/3 + 2680*j**3 - 3440*j**2/3 - 10752*j + 6912 = 0.
-2, 2/3, 2, 36
Let -12*y**2 - 493941*y + 123486 = 0. What is y?
-41162, 1/4
Factor 4*s**2 + 8404*s.
4*s*(s + 2101)
What is x in 22*x**3/3 + 217648*x**2/3 - 197882*x/3 - 6596 = 0?
-9894, -1/11, 1
Find x such that x**4/8 - 441*x**3/2 - x**2/8 + 441*x/2 = 0.
-1, 0, 1, 1764
Find z, given that -7*z**5/9 + 74*z**4 - 2654*z**3/9 + 1336*z**2/9 + 887*z/3 - 2002/9 = 0.
-1, 1, 22/7, 91
Factor -2*j**2 - 110*j + 9888.
-2*(j - 48)*(j + 103)
Factor -2*q**4 - 4700*q**3 - 2709066*q**2 + 61316200*q - 340396232.
-2*(q - 11)**2*(q + 1186)**2
Determine q, given that 20*q**5/7 + 668*q**4/7 + 5352*q**3/7 - 4136*q**2/7 - 5372*q/7 + 3468/7 = 0.
-17, -1, 3/5, 1
Determine w, given that -8*w**3 - 3238*w**2 - 306022*w + 76708 = 0.
-254, -151, 1/4
Determine d, given that -9*d**5/7 - 165*d**4/7 - 487*d**3/7 - 575*d**2/7 - 304*d/7 - 60/7 = 0.
-15, -1, -2/3
Find a, given that -2*a**4 - 894*a**3 - 12214*a**2 - 38970*a = 0.
-433, -9, -5, 0
Solve 5*c**2 - 1745*c + 138990 = 0.
123, 226
Factor -2*y**2/3 + 10516*y/3 - 13823282/3.
-2*(y - 2629)**2/3
Factor 2*g**3 + 170*g**2 + 1872*g.
2*g*(g + 13)*(g + 72)
Factor -h**4/4 - 363199*h**3/4 - 21985646133*h**2/2 - 443626367611141*h - 443615374878874.
-(h + 1)*(h + 121066)**3/4
What is y in 5*y**2 + 18325*y + 73220 = 0?
-3661, -4
Factor -2*q**2 + 10698*q + 214760.
-2*(q - 5369)*(q + 20)
Find s, given that -s**2/2 + 5613*s + 33687/2 = 0.
-3, 11229
Factor 3*n**3/2 - 879*n**2/2 - 20739*n + 66132.
3*(n - 334)*(n - 3)*(n + 44)/2
Find b, given that -37338*b**4 + 261646*b**3 - 539580*b**2 + 274824*b - 13552 = 0.
7/127, 2/3, 22/7
Factor -2*s**2/13 - 382*s/13 - 15120/13.
-2*(s + 56)*(s + 135)/13
Factor 3*t**3/7 + 28587*t**2/7 - 57237*t + 200403.
3*(t - 7)**2*(t + 9543)/7
Find j, given that -2*j**2/13 - 12452*j/13 - 19381538/13 = 0.
-3113
Factor -551*y**3/4 + y**2/4 + 551*y - 1.
-(y - 2)*(y + 2)*(551*y - 1)/4
Determine h, given that -25*h**5/7 - 288895*h**4/7 + 346721*h**3/7 + 127115*h**2/7 - 138688*h/7 - 6604 = 0.
-11557, -2/5, 1
Find l, given that 3*l**5/2 - 315*l**4 - 3873*l**3/2 - 1620*l**2 = 0.
-5, -1, 0, 216
Solve 12*f**3 - 387*f**2 + 204*f + 32544 = 0 for f.
-8, 12, 113/4
Determine q so that -q**5 + 12*q**4 - 87*q**3/4 - 131*q**2/2 + 687*q/4 - 135/2 = 0.
-5/2, 1/2, 2, 3, 9
Determine s so that 2*s**3/3 - 274826*s**2/3 + 3146826394*s + 15736422270 = 0.
-5, 68709
Determine b, given that 195*b**4/2 - 33325*b**3/2 + 1438655*b**2/2 - 1269475*b/2 + 108375 = 0.
3/13, 2/3, 85
Factor -2*d**2 - 80604*d - 812125602.
-2*(d + 20151)**2
Determine l so that 2*l**4 - 96*l**3 + 252*l**2 + 864*l - 2430 = 0.
-3, 3, 45
What is b in 52*b**2 - 5088*b - 784 = 0?
-2/13, 98
Suppose -5*o**2 - 675*o + 12080 = 0. Calculate o.
-151, 16
Factor -5*l**3/4 + 95*l**2 + 775*l/4 + 195/2.
-5*(l - 78)*(l + 1)**2/4
Determine o, given that 2*o**2/7 - 95010*o/7 + 40716 = 0.
3, 47502
Solve -385*w**5 - 675*w**4 + 5530*w**3 + 4680*w**2 - 14400*w = 0 for w.
-4, -24/11, 0, 10/7, 3
Solve 2*j**3/3 - 1544*j**2/3 - 1546*j/3 = 0.
-1, 0, 773
Factor -10*f**2 - 50958*f - 40760.
-2*(f + 5095)*(5*f + 4)
Let -b**5 - 20*b**4 + 43*b**3/4 + 935*b**2/4 + 384*b + 180 = 0. What is b?
-20, -3/2, -1, 4
Factor -4*c**2 + 612*c - 17480.
-4*(c - 115)*(c - 38)
Determine h so that -128*h**3 + 27010*h**2 - 53926*h + 836 = 0.
1/64, 2, 209
Factor -3*h**2 - 5361*h - 5358.
-3*(h + 1)*(h + 1786)
Factor l**4 + 197*l**3 + 10878*l**2 + 192812*l + 343672.
(l + 2)*(l + 38)**2*(l + 119)
Solve 30*j**4 + 1865*j**3 - 7970*j**2 - 25140*j - 3960 = 0.
-66, -2, -1/6, 6
What is z in -5*z**2 - 14470*z - 72225 = 0?
-2889, -5
Factor 2*y**3 - 1422*y**2 + 144892*y - 143472.
2*(y - 588)*(y - 122)*(y - 1)
Factor -3*v**3 + 6291*v**2.
-3*v**2*(v - 2097)
Factor -4*n**5 + 9340*n**4 - 7272744*n**3 + 1890907216*n**2 - 1883643808*n.
-4*n*(n - 778)**3*(n - 1)
Let -804*a**3/5 + 342512*a**2/5 - 36480084*a/5 + 362952/5 = 0. Calculate a.
2/201, 213
Factor -5*b**2 - 3785*b + 101790.
-5*(b - 26)*(b + 783)
Factor -48137672*p**3 - 11744964*p**2 + 5373168*p - 394384.
-4*(2*p + 1)*(2453*p - 314)**2
Factor r**3/3 + 32*r**2/3 + 164*r/3 + 208/3.
(r + 2)*(r + 4)*(r + 26)/3
Factor 7*y**2/10 - 7297*y/5 - 417/2.
(y - 2085)*(7*y + 1)/10
Factor -x**3/2 - 39746*x**2 - 1579665021*x/2 + 1579824009.
-(x - 2)*(x + 39747)**2/2
What is k in 322*k**4/3 - 314*k**3 + 298*k**2 - 250*k/3 - 8 = 0?
-12/161, 1
What is u in -2*u**2 - 105658*u + 105660 = 0?
-52830, 1
Solve 4*m**3 - 548*m**2 - 20296*m + 42752 = 0 for m.
-32, 2, 167
Factor -35*q**3 - 23225*q**2 + 33250*q.
-5*q*(q + 665)*(7*q - 10)
What is q in 43*q**4 + 9*q**3 - 1170*q**2 - 2384*q - 1248 = 0?
-4, -52/43, -1, 6
Solve 15*q**4 - 35*q**3/3 - 55*q**2/3 + 35*q/3 + 10/3 = 0.
-1, -2/9, 1
Solve 5*w**4 - 1005*w**2 - 4400*w = 0.
-11, -5, 0, 16
Suppose -2*z**2/9 - 5308*z/9 - 96992/3 = 0. Calculate z.
-2598, -56
Determine w, given that w**4/2 + 98*w**3 + 2403*w**2 + 20898*w + 123201/2 = 0.
-169, -9
Determine c so that 156175009*c**3/4 - 156162512*c**2 - 49987*c - 4 = 0.
-2/12497, 4
Factor 4*n**2/3 - 31813*n/3 + 2651.
(n - 7953)*(4*n - 1)/3
Find s such that -2*s**4/3 + 8654*s**3 - 25956*s**2 = 0.
0, 3, 12978
Factor -4*y**2/7 + 312*y/7 + 22816/7.
-4*(y - 124)*(y + 46)/7
Factor 237*v**2/2 - 483*v/2 + 9.
3*(v - 2)*(79*v - 3)/2
Factor 5*f**3 + 93292*f**2 + 596876*f + 223824.
(f + 6)*(f + 18652)*(5*f + 2)
Solve 2*b**4/7 - 306*b**3/7 + 4036*b**2/7 + 2040*b + 9936/7 = 0 for b.
-2, -1, 18, 138
Factor 5*x**3 - 950*x**2 + 21660*x + 2469240.
5*(x - 114)**2*(x + 38)
Factor -4*v**2 + 328*v - 5124.
-4*(v - 61)*(v - 21)
Suppose -3*q**4/7 + 219*q**3/7 - 2781*q**2/7 + 2565*q/7 = 0. What is q?
0, 1, 15, 57
Suppose 2*g**4 + 11