, given that -2*q**3 - 539*q**2/2 + 903*q + 828 = 0.
-138, -3/4, 4
Let 4*h**5/5 + 172*h**4/5 - 1268*h**3/5 - 2604*h**2 + 84672*h/5 = 0. Calculate h.
-48, -9, 0, 7
Factor -33*s**2 - 1653*s - 19530.
-3*(s + 31)*(11*s + 210)
Factor -2*g**3/11 - 1554*g**2/11 - 29250*g - 7593750/11.
-2*(g + 27)*(g + 375)**2/11
Let -2*t**4/21 + 236*t**3/21 - 6466*t**2/21 - 29768*t/21 = 0. What is t?
-4, 0, 61
Find g such that -g**3 - 81*g**2 + 94*g + 984 = 0.
-82, -3, 4
Suppose 7*i**5/4 - 4759*i**4/2 + 8812*i**3 + 2712*i**2 = 0. Calculate i.
-2/7, 0, 4, 1356
Suppose -256*o**2 + 6080*o - 36100 = 0. Calculate o.
95/8
Factor -2*r**3 + 1881*r**2 + 6612*r - 3776.
-(r - 944)*(r + 4)*(2*r - 1)
Solve c**3 + 73*c**2 + 1419*c + 3627 = 0.
-39, -31, -3
What is f in -3*f**2/2 + 1011777*f/2 = 0?
0, 337259
Factor -2*v**2/5 - 1376*v/5 - 210222/5.
-2*(v + 229)*(v + 459)/5
Solve -y**4/4 + 85*y**3/2 - 9589*y**2/4 + 46752*y - 119808 = 0 for y.
3, 39, 64
Solve 3*g**3/8 + 6705*g**2/4 + 1871532*g - 3749772 = 0 for g.
-2236, 2
Solve -39*z**2/4 + 26967*z/4 - 6219/2 = 0.
6/13, 691
What is j in -j**4/5 + 994*j**3/5 - 5939*j**2/5 + 10874*j/5 - 5928/5 = 0?
1, 2, 3, 988
What is u in -2*u**4/7 + 50*u**3 - 18750*u**2/7 + 281250*u/7 = 0?
0, 25, 75
Factor -3*i**3/4 + 867*i**2/2 + 15807*i/4 + 12327/2.
-3*(i - 587)*(i + 2)*(i + 7)/4
Determine w so that 4*w**2/3 - 181376*w + 6168235008 = 0.
68016
Factor 4*a**4 - 17724*a**3 - 53196*a**2 - 53204*a - 17736.
4*(a - 4434)*(a + 1)**3
Find h, given that -2*h**3/21 + 4*h**2/7 + 26*h/3 - 264/7 = 0.
-9, 4, 11
Find j such that j**3/2 - 1473*j**2/2 - 88857*j/2 + 90329/2 = 0.
-59, 1, 1531
Let -3*o**3/7 - 729*o**2/7 + 3708*o/7 - 2976/7 = 0. Calculate o.
-248, 1, 4
Factor -2*b**5 - 128*b**4 + 2944*b**3 - 17332*b**2 + 9506*b + 113876.
-2*(b - 7)**3*(b + 2)*(b + 83)
Determine a, given that 3*a**5 + 1803*a**4 - 3621*a**3 - 1803*a**2 + 3618*a = 0.
-603, -1, 0, 1, 2
Factor -2*p**2 - 12354*p - 24700.
-2*(p + 2)*(p + 6175)
What is l in 2*l**2 - 4592*l - 36864 = 0?
-8, 2304
Factor q**2/4 - 24783*q/4 - 37179/2.
(q - 24786)*(q + 3)/4
What is j in -4*j**3 - 192*j**2 + 94324*j + 94512 = 0?
-179, -1, 132
Factor -3*y**3/8 - 816*y**2 + 6531*y/8.
-3*y*(y - 1)*(y + 2177)/8
Solve -t**2 + 1242*t + 1243 = 0.
-1, 1243
Let -2*v**3/5 + 80756*v**2/5 + 64610*v + 242292/5 = 0. Calculate v.
-3, -1, 40382
Solve 2*x**4 + 10*x**3 - 70*x**2 - 330*x - 252 = 0.
-7, -3, -1, 6
Factor -5*d**4 + 220*d**3 - 2865*d**2 + 10350*d.
-5*d*(d - 23)*(d - 15)*(d - 6)
Factor -2*l**3 + 1152*l**2 - 164730*l - 334084.
-2*(l - 289)**2*(l + 2)
Factor -3*f**2/2 + 694683*f - 160861490163/2.
-3*(f - 231561)**2/2
Find f such that -3*f**5 + 228*f**4 - 1299*f**3 + 2766*f**2 - 2532*f + 840 = 0.
1, 2, 70
Let 5*m**5 + 40535*m**4 + 607140*m**3 + 1941760*m**2 - 2589440*m = 0. What is m?
-8092, -8, 0, 1
Solve -m**4/3 + 3*m**3 + 257*m**2 + 739*m/3 - 506 = 0 for m.
-23, -2, 1, 33
Solve 2*n**2/17 - 54*n - 42084/17 = 0 for n.
-42, 501
Factor -3*a**4 - 120*a**3 - 228*a**2.
-3*a**2*(a + 2)*(a + 38)
What is p in p**5/3 + 40*p**4/3 - 230*p**3 - 40*p**2/3 + 689*p/3 = 0?
-53, -1, 0, 1, 13
Let -3*b**5 + 153*b**4 - 765*b**3 - 2001*b**2 - 1080*b = 0. Calculate b.
-1, 0, 8, 45
Solve 12*k**4 + 122373*k**3 - 30594*k**2 = 0.
-10198, 0, 1/4
Factor -2*u**2/9 + 148310*u/9 + 98876/3.
-2*(u - 74157)*(u + 2)/9
Factor 3*z**2/4 - 3633*z/2 - 36405/4.
3*(z - 2427)*(z + 5)/4
What is d in 3*d**5/7 + 39*d**4/7 - 3453*d**3/7 - 123*d**2/7 + 10254*d/7 + 984 = 0?
-41, -1, 2, 28
Factor -m**3 - 880*m**2 + 3532*m - 3536.
-(m - 2)**2*(m + 884)
What is f in -f**2 + 10743*f - 21482 = 0?
2, 10741
Let 2*w**3 + 3686*w**2 - 51916*w + 148560 = 0. What is w?
-1857, 4, 10
Let 2*h**4/15 + 4452*h**3/5 + 93424*h**2/15 + 66716*h/5 + 40026/5 = 0. What is h?
-6671, -3, -1
Find g such that -2*g**3 - 1182*g**2 - 166972*g - 329232 = 0.
-361, -228, -2
What is a in 2*a**5 + 4*a**4 - 28*a**3 - 48*a**2 + 90*a + 108 = 0?
-3, -1, 2, 3
Factor -5*m**3 - 3035305*m**2 - 460652304495*m + 460655339805.
-5*(m - 1)*(m + 303531)**2
Determine m so that -5*m**2 + 175*m + 12780 = 0.
-36, 71
Factor -l**2/7 - 1569*l/7 + 3142/7.
-(l - 2)*(l + 1571)/7
Determine o, given that o**5 + 146*o**4 - 2856*o**3 + 15584*o**2 - 26240*o = 0.
-164, 0, 4, 10
Suppose -4*p**2/7 + 3112*p + 21788/7 = 0. What is p?
-1, 5447
Let -3*y**4/2 + 1675*y**3/3 - 34468*y**2 - 3498000*y + 2337088/3 = 0. Calculate y.
-52, 2/9, 212
Let -10*u**3 + 6745*u**2 - 404650*u + 200640 = 0. Calculate u.
1/2, 66, 608
Factor -5*i**3 + 4600*i**2 - 4595*i.
-5*i*(i - 919)*(i - 1)
Suppose 1790*o**4 + 12522*o**3 - 1846*o**2 - 12522*o + 56 = 0. What is o?
-7, -1, 4/895, 1
Suppose -2*y**2/9 - 18664*y/3 + 18666 = 0. What is y?
-27999, 3
Factor 2*b**3/5 + 34*b**2/5 + 104*b/5 - 72.
2*(b - 2)*(b + 9)*(b + 10)/5
Factor -9*l**3/5 - 309*l**2/5 - 3531*l/5 - 13431/5.
-3*(l + 11)**2*(3*l + 37)/5
Find y, given that y**3/2 - 171*y**2/2 - 438*y - 352 = 0.
-4, -1, 176
Let -5*d**2 + 667950*d - 22307860125 = 0. Calculate d.
66795
Factor -5*l**3/2 - 255*l**2/2 + 3835*l + 3960.
-5*(l - 22)*(l + 1)*(l + 72)/2
Suppose -2*b**3/11 - 59060*b**2/11 = 0. What is b?
-29530, 0
Find u such that -3*u**2/4 - 843*u/4 - 13113 = 0.
-188, -93
Factor 2*o**4 + 136*o**3 + 1036*o**2 - 49528*o - 50430.
2*(o - 15)*(o + 1)*(o + 41)**2
Find o, given that -39*o**5 + 750*o**4 + 2781*o**3 - 7932*o**2 - 21012*o - 11088 = 0.
-4, -1, 42/13, 22
Factor 3*d**4/5 - 609*d**3/5.
3*d**3*(d - 203)/5
Suppose -8*g**3 - 5588*g**2 - 2780*g + 8376 = 0. What is g?
-698, -3/2, 1
Let -j**2 - 76193*j + 76194 = 0. Calculate j.
-76194, 1
Factor 2*j**4/11 + 50*j**3/11 + 384*j**2/11 + 936*j/11.
2*j*(j + 6)**2*(j + 13)/11
Solve 20*y**5 + 17755*y**4/4 + 8245*y**3/2 - 4715*y**2 - 8285*y/2 + 1105/4 = 0 for y.
-221, -1, 1/16, 1
Find c such that 5*c**2 + 125470*c - 627475 = 0.
-25099, 5
Factor z**5/3 - 32*z**4/3 - 1684*z**3 - 14954*z**2/3 - 14885*z/3 - 1650.
(z - 90)*(z + 1)**3*(z + 55)/3
Factor 2*t**2/9 + 71560*t/3 - 71562.
2*(t - 3)*(t + 107343)/9
Find j, given that 2*j**2/5 - 203284*j/5 - 203286/5 = 0.
-1, 101643
Find v, given that -4*v**4/7 + 1791*v**3/7 - 700*v**2 + 2223*v/7 + 890/7 = 0.
-1/4, 1, 2, 445
Factor 2*i**2 + 75312*i + 708987168.
2*(i + 18828)**2
Factor -i**2 + 4353*i + 4354.
-(i - 4354)*(i + 1)
Suppose 3*p**4 + 228*p**3 - 3*p**2 - 228*p = 0. Calculate p.
-76, -1, 0, 1
Determine p, given that 1603*p**2/9 + 5192*p/9 + 484/9 = 0.
-22/7, -22/229
Factor -4*i**4 - 220*i**3 - 2716*i**2 - 8580*i.
-4*i*(i + 5)*(i + 11)*(i + 39)
Factor a**2/6 + 11720*a/3 - 23441/6.
(a - 1)*(a + 23441)/6
Find a such that -56*a**3 - 204*a**2 + 3440*a - 1200 = 0.
-10, 5/14, 6
Let i**5 - 48055*i**4 - 384489*i**3 - 720953*i**2 + 384488*i + 769008 = 0. Calculate i.
-4, -1, 1, 48063
Suppose -5*l**2 + 657190*l - 21594934805 = 0. What is l?
65719
Factor k**2 - 1633*k - 3270.
(k - 1635)*(k + 2)
What is i in i**5/2 + i**4/2 - 3*i**3 = 0?
-3, 0, 2
Factor 2*d**4 - 2414*d**3 + 972036*d**2 - 130899240*d + 129929616.
2*(d - 402)**3*(d - 1)
Let -2*f**2/13 + 8612*f/13 + 138304/13 = 0. Calculate f.
-16, 4322
Factor 15125*k**4 - 850300*k**3 + 12042980*k**2 - 2597280*k + 141120.
5*(k - 28)**2*(55*k - 6)**2
Factor -j**2/5 - 5418*j/5 - 129456/5.
-(j + 24)*(j + 5394)/5
Determine o so that o**4/5 + 11*o**3 + 287*o**2/5 - 343*o/5 = 0.
-49, -7, 0, 1
Let 4*w**3 - 64*w**2 - 676*w + 736 = 0. Calculate w.
-8, 1, 23
Factor -100*j**4 - 2880*j**3 - 29056*j**2 - 119808*j - 173056.
-4*(j + 4)**2*(5*j + 52)**2
Let -h**3 - 3419*h**2 - 2964659*h - 71995225 = 0. Calculate h.
-1697, -25
Factor v**2 + 264196*v + 17449881604.
(v + 132098)**2
Factor -y**2/4 + 857*y/4 - 214.
-(y - 856)*(y - 1)/4
Factor -3*i**2/8 - 27*i/2.
-3*i*(i + 36)/8
Factor d**5/5 + 3*d**4/5 - 297*d**3/5 + 1701*d**2/5.
d**2*(d - 9)**2*(d + 21)/5
Let -51425*r**5 - 565665*r**4 - 976965*r**3 - 462635*r**2 + 90*r = 0. What is r?
-9, -1, 0, 2/10285
Let 231*z**5 - 18987*z**4 + 288297*z**3 - 569937*z**2 + 364656*z - 64260 = 0. Calculate z.
2/7, 10/11, 1, 17, 63
Factor r**2/5 - 14*r/5 - 527/5.
(r - 31)*(r + 17)/5
Find o, given that -6*o**5 + 5775*o**4/2 + 15957*o**3/2 + 3633*o**2 - 1452*o = 0.
-2, -1, 0, 1/4, 484
Let -5*k**2 - 995*k + 3030 = 0. Calculate k.
-202, 3
Factor 4*r**3/5 + 16168*r**2/5 + 22604*r + 32280.
4*(r + 2)*(r + 5)*(r + 4035)/5
Factor -3*h**2/7 + 753*h/7 - 1494/7.
-3*(h - 249)*(h - 2)/7
Factor 5*y**2 