 + 3.
3*(b + 1)*(29*b + 1)
Suppose 32*u**3/9 - 804784*u**2/9 + 402386*u/9 - 16766/3 = 0. Calculate u.
1/4, 25149
Solve q**2/7 - 1243*q/7 + 18420/7 = 0.
15, 1228
Factor -20*x**3/7 - 20836*x**2/7 - 756772*x + 67765876/7.
-4*(x + 527)**2*(5*x - 61)/7
Solve 2*n**5/9 - 112*n**4/3 - 4898*n**3/9 + 33736*n**2/9 + 20312*n + 196928/9 = 0.
-17, -2, 8, 181
Factor -3717*a**3 - 12185*a**2 - 3094*a + 24.
-(a + 3)*(7*a + 2)*(531*a - 4)
Factor -7*i**3/3 + 1573*i**2/3 - 10232*i/3 - 3052/3.
-(i - 218)*(i - 7)*(7*i + 2)/3
Solve 9*v**4/2 - 50*v**3 - 81*v**2/2 + 450*v = 0.
-3, 0, 3, 100/9
Determine f, given that -4*f**2/7 + 1814520*f/7 - 205780176900/7 = 0.
226815
Factor -z**2/2 + 13641*z/2 - 102195.
-(z - 13626)*(z - 15)/2
Find l such that 5*l**2 + 223255*l + 1339350 = 0.
-44645, -6
Factor 4*y**4 + 1059584*y**3 + 70168831224*y**2 - 140340841216*y + 70170950404.
4*(y - 1)**2*(y + 132449)**2
Factor 2*i**3/9 + 700*i**2/3 + 6286*i/9 + 1396/3.
2*(i + 1)*(i + 2)*(i + 1047)/9
Factor -3*k**2 - 75*k + 78.
-3*(k - 1)*(k + 26)
Solve 4*f**5 + 334*f**4 + 2618*f**3 + 5150*f**2 + 3762*f + 900 = 0.
-75, -6, -1, -1/2
Factor 2*k**3/3 + 7681*k**2/3 - 34610*k/3 - 19225/3.
(k - 5)*(k + 3845)*(2*k + 1)/3
Determine b so that 2*b**4 + 178*b**3/3 - 496*b**2/3 - 9496*b - 6240 = 0.
-26, -15, -2/3, 12
Let -51*k**3 - 278*k**2 + 168*k = 0. What is k?
-6, 0, 28/51
Suppose 3*g**4 - 1617*g**3 + 29820*g**2 - 93600*g = 0. Calculate g.
0, 4, 15, 520
Find u, given that -4*u**4 + 7312*u**3 - 21900*u**2 - 16*u + 29200 = 0.
-1, 2, 1825
Let b**2/3 + 18776*b/3 + 88134544/3 = 0. What is b?
-9388
Determine m so that -12*m**4 + 676*m**3 + 12388*m**2 + 7724*m - 3976 = 0.
-14, -1, 1/3, 71
What is g in -15*g**5 - 35*g**4 + 530*g**3 - 1140*g**2 + 520*g + 320 = 0?
-8, -1/3, 2
Let 2*n**4/5 - 708*n**3 = 0. Calculate n.
0, 1770
Factor -4*s**5/5 + 144*s**4/5.
-4*s**4*(s - 36)/5
Let 3*s**2/2 - 411*s/2 - 12627 = 0. What is s?
-46, 183
Determine a so that a**5/4 - 25*a**4/2 + 204*a**3 - 2159*a**2/2 - 817*a/4 + 1092 = 0.
-1, 1, 13, 16, 21
What is n in -2*n**3 - 824*n**2 + 4998*n - 7524 = 0?
-418, 3
Factor z**2 + 21600*z + 116640000.
(z + 10800)**2
Factor -3*t**3 - 69*t**2 + 22572*t.
-3*t*(t - 76)*(t + 99)
Factor 4*t**3 + 4152*t**2 + 686592*t + 31186944.
4*(t + 96)**2*(t + 846)
Suppose -2*s**3/3 + 74*s**2/3 + 154*s/3 + 26 = 0. Calculate s.
-1, 39
Factor -2*i**3/3 - 80*i**2/3 - 136*i/3 + 608/3.
-2*(i - 2)*(i + 4)*(i + 38)/3
Determine z so that z**5/2 - 197*z**4/6 - 13*z**3 + 394*z**2/3 + 44*z = 0.
-2, -1/3, 0, 2, 66
Let 4*c**2/3 - 17780*c/3 - 293608 = 0. Calculate c.
-49, 4494
Let 3*c**3 + 151437*c**2 + 1911021360*c - 1911172800 = 0. Calculate c.
-25240, 1
Suppose -2*j**2 + 73348*j - 672491138 = 0. What is j?
18337
Factor -3*a**3 + 123789*a**2 - 1277038269*a + 1276914483.
-3*(a - 20631)**2*(a - 1)
Suppose w**3/5 + 930*w**2 + 111168*w/5 + 666144/5 = 0. Calculate w.
-4626, -12
Find i such that -3*i**3/5 - 10686*i**2 - 237950496*i/5 - 475687296/5 = 0.
-8904, -2
Solve 5*h**5 + 5*h**4 - 385*h**3 - 1625*h**2 - 500*h + 2500 = 0.
-5, -2, 1, 10
Solve 3*q**3 - 49880*q**2/3 + 69117053*q/3 - 15356882/3 = 0 for q.
2/9, 2771
Find d, given that d**4 - 77677*d**3 + 2011264668*d**2 - 17359895719280*d + 17357884532288 = 0.
1, 25892
Solve -o**3/8 + 299*o**2/4 + 8519*o/8 + 7497/2 = 0 for o.
-7, 612
Factor q**2/7 - 218*q + 12144/7.
(q - 1518)*(q - 8)/7
Factor -2*j**5/7 - 196*j**4 + 2752*j**3/7.
-2*j**3*(j - 2)*(j + 688)/7
Let -n**3/5 + 474*n**2/5 - 467*n/5 - 2838/5 = 0. Calculate n.
-2, 3, 473
Solve -d**3/4 + 27*d**2/4 + 1633*d/4 - 5115/4 = 0 for d.
-31, 3, 55
Factor -3*n**4 - 1074*n**3 - 107211*n**2 - 1984752*n - 10245312.
-3*(n + 11)**2*(n + 168)**2
Determine h so that -2*h**4 - 12892*h**3 = 0.
-6446, 0
Factor 5*d**5 - 5465*d**4 + 1501490*d**3 - 4471730*d**2 + 4460825*d - 1485125.
5*(d - 545)**2*(d - 1)**3
Factor -3*m**2/2 - 382635*m - 48803181075/2.
-3*(m + 127545)**2/2
Suppose 3*c**5/7 - 228*c**4/7 + 2799*c**3/7 - 1770*c**2 + 18600*c/7 = 0. What is c?
0, 4, 5, 62
Factor 3*r**3 - 23*r**2/2 - 309*r/2 + 135.
(r - 9)*(r + 6)*(6*r - 5)/2
Let -18*v**5 - 36318*v**4 - 60344*v**3 + 274056*v**2 - 241888*v + 64512 = 0. What is v?
-2016, -4, 2/3, 1
Determine g, given that 24*g**5 + 29476*g**4 + 34346*g**3 - 12289*g**2 - 23318*g - 6135 = 0.
-1227, -1, -1/2, 5/6
Suppose 2*z**4 + 86*z**3 + 658*z**2 - 86*z - 660 = 0. What is z?
-33, -10, -1, 1
Suppose 5*z**3 - 2890*z**2 - 38415*z = 0. What is z?
-13, 0, 591
Solve -5*s**3/4 + 1248*s**2 - 493*s - 5988 = 0 for s.
-2, 12/5, 998
Suppose y**3/2 - 5059*y**2/2 - 20260*y - 40536 = 0. Calculate y.
-4, 5067
Find c such that c**3/11 + 156120*c**2/11 + 312237*c/11 + 156118/11 = 0.
-156118, -1
Factor -3*t**2 + 2889510*t - 2889507.
-3*(t - 963169)*(t - 1)
Factor -u**3/10 + 2351*u**2/5 - 2756534*u/5 - 16623948/5.
-(u - 2354)**2*(u + 6)/10
Find p such that 16*p**5 - 27492*p**4 - 130920*p**3 - 48400*p**2 + 268824*p - 62028 = 0.
-3, 1/4, 1, 1723
Let -28*i**2/13 - 118*i/13 - 124/13 = 0. Calculate i.
-31/14, -2
Factor 2*t**3 + 4461*t**2 - 2231*t.
t*(t + 2231)*(2*t - 1)
Let -3*v**2/4 + 2301*v/2 + 4605/4 = 0. What is v?
-1, 1535
Suppose -34965*d**4 + 48339*d**3 - 75378*d**2/5 + 8868*d/5 - 72 = 0. What is d?
30/259, 2/15, 1
Let 3*g**2 + 246090*g + 5046690675 = 0. Calculate g.
-41015
What is r in 2*r**4/7 + 74*r**3 - 26*r**2/7 - 6758*r/7 - 888 = 0?
-259, -3, -1, 4
Solve 2*m**2 + 31240*m - 281322 = 0 for m.
-15629, 9
Factor -s**2 - 76928*s - 1479479296.
-(s + 38464)**2
Solve 6*m**5 - 1252*m**4 + 64460*m**3 + 90296*m**2 - 109410*m - 44100 = 0.
-2, -1/3, 1, 105
Let 66*g**5 + 410*g**4 + 666*g**3 + 54*g**2 - 108*g = 0. Calculate g.
-3, -6/11, 0, 1/3
Factor -5*l**2 + 43360*l + 390645.
-5*(l - 8681)*(l + 9)
Factor -2*z**3 - 17218*z**2 - 37066048*z - 37048832.
-2*(z + 1)*(z + 4304)**2
Factor 2*p**2 + 56709*p + 28354.
(p + 28354)*(2*p + 1)
Factor 5*j**2/6 - 2825*j/6 - 945.
5*(j - 567)*(j + 2)/6
Factor 2*h**5 + 462*h**4 + 34398*h**3 + 833490*h**2.
2*h**2*(h + 63)**2*(h + 105)
Solve 3*w**2/2 + 9132*w - 1649259/2 = 0 for w.
-6177, 89
Factor -q**2/4 + 49923*q - 2492305929.
-(q - 99846)**2/4
What is v in 2*v**2 - 988*v = 0?
0, 494
Suppose -3*a**4/5 - 3*a**3 + 588*a**2/5 + 588*a = 0. What is a?
-14, -5, 0, 14
Factor 3*j**4/2 - 18174*j**3 + 55049046*j**2.
3*j**2*(j - 6058)**2/2
Let m**4/2 + 125*m**3 - 4825*m**2/2 - 125*m + 2412 = 0. Calculate m.
-268, -1, 1, 18
Factor -3*v**2/2 + 50442*v - 424065894.
-3*(v - 16814)**2/2
Factor 2661*s**3 + 54*s**2 - 10644*s - 216.
3*(s - 2)*(s + 2)*(887*s + 18)
Determine p, given that -p**4 + 706*p**3 - 126013*p**2 + 495612*p - 492804 = 0.
2, 351
Factor 2*m**3/5 + 1692*m**2/5 - 114432*m/5 + 372736.
2*(m - 32)**2*(m + 910)/5
Factor -3*k**2 + 54654*k/5 + 218856/5.
-3*(k + 4)*(5*k - 18238)/5
Determine v so that 2*v**2 + 38818*v - 271824 = 0.
-19416, 7
Find z such that -121*z**5/6 + 187*z**4/2 + 6400*z**3/3 + 766*z**2 + 208*z/3 = 0.
-8, -2/11, 0, 13
What is p in 4*p**5 - 260*p**3 - 240*p**2 + 3856*p + 6720 = 0?
-6, -4, -2, 5, 7
What is m in 4*m**5 + 308*m**4 + 6572*m**3 + 22204*m**2 - 65376*m + 36288 = 0?
-36, -7, 1
Let 363*n**4 - 39501*n**3 + 146853*n**2 - 138915*n = 0. What is n?
0, 21/11, 105
What is u in u**5 + 1262629*u**4 + 398557366594*u**3 - 398559891854*u**2 - 398557366595*u + 398558629225 = 0?
-631315, -1, 1
Factor -g**2/3 + 1216*g + 7300/3.
-(g - 3650)*(g + 2)/3
Factor j**4 + 8*j**3 - 72*j**2 - 864*j - 2160.
(j - 10)*(j + 6)**3
Suppose -4*m**5 - 4*m**4 + 28*m**3 + 52*m**2 + 24*m = 0. Calculate m.
-2, -1, 0, 3
What is q in -10*q**5/7 - 1084*q**4/21 + 3302*q**3/7 - 20800*q**2/21 + 488*q + 1760/21 = 0?
-44, -2/15, 1, 2, 5
Factor -2*s**4/17 - 92*s**3/17 + 1534*s**2/17.
-2*s**2*(s - 13)*(s + 59)/17
Solve 3*i**3/2 + 2803*i**2/4 + 2899*i + 9723/4 = 0.
-463, -3, -7/6
Factor 14688712809*x**2/4 + 121197*x/2 + 1/4.
(121197*x + 1)**2/4
Determine o, given that 9*o**4/4 + 1281*o**3/4 - 2439*o**2/2 - 2190*o = 0.
-146, -4/3, 0, 5
What is s in -s**3/4 + 1639*s**2/4 + 8710*s + 8300 = 0?
-20, -1, 1660
Factor -c**4 + 133500*c**3 - 4455428998*c**2 - 8911258500*c - 4455696001.
-(c - 66751)**2*(c + 1)**2
Factor 664*u**2 + 1004*u + 12.
4*(2*u + 3)*(83*u + 1)
Find q, given that -4*q**5 + 292*q**4 + 4232*q**3 + 20192*q**2 + 38272*q + 22016 = 0.
-4, -1, 86
Find r such that -2*r**2/9 + 2686*r/3 + 137564/9 = 0.
-17, 4046
Solve q*