1, 3, 126
Factor 4*t**4 + 140*t**3 - 948*t**2 + 1460*t - 656.
4*(t - 4)*(t - 1)**2*(t + 41)
Factor 5*i**3 - 745*i**2 + 640*i + 14800.
5*(i - 148)*(i - 5)*(i + 4)
Let 2*f**5/15 - 8*f**4/5 - 154*f**3/5 + 484*f**2/15 = 0. Calculate f.
-11, 0, 1, 22
Determine n so that 6*n**3 + 16962*n**2 + 50860*n/3 - 7536 = 0.
-2826, -4/3, 1/3
Factor 5*j**5 - 124755*j**4 - 374295*j**3 - 374305*j**2 - 124770*j.
5*j*(j - 24954)*(j + 1)**3
Find l such that 2*l**2 + 108022*l - 432120 = 0.
-54015, 4
Factor -4*p**3 + 82784*p**2 - 428324416*p.
-4*p*(p - 10348)**2
Let 5*u**2/4 + 217*u - 2883 = 0. Calculate u.
-186, 62/5
Factor 2*x**4 + 622*x**3 + 47964*x**2 - 74880*x - 2044224.
2*(x - 7)*(x + 6)*(x + 156)**2
Solve 3*k**5/5 + 126*k**4 + 49068*k**3/5 + 1683258*k**2/5 + 21491361*k/5 = 0 for k.
-69, -47, 0
Solve 4*w**2/5 + 48808*w/5 + 148888804/5 = 0 for w.
-6101
Factor -y**2/4 + 603*y/4 - 3835/2.
-(y - 590)*(y - 13)/4
Solve 74*q**4/3 - 218*q**3/3 - 152*q**2 + 568*q/3 + 32/3 = 0.
-2, -2/37, 1, 4
Factor 5*d**4 + 87270*d**3 - 174555*d**2 + 87280*d.
5*d*(d - 1)**2*(d + 17456)
Factor -5*u**2 - 3265170*u - 533066756445.
-5*(u + 326517)**2
Suppose m**2/2 - 116*m + 8967/2 = 0. Calculate m.
49, 183
Factor -2*n**2 + 5290*n + 138892.
-2*(n - 2671)*(n + 26)
Let 4*h**3 + 7504*h**2/5 + 16436*h/5 + 8952/5 = 0. What is h?
-373, -6/5, -1
Find y such that 950*y**4/3 - 201310*y**3/3 + 60564*y**2 - 48968*y/3 + 3376/3 = 0.
2/19, 2/5, 211
Let -a**3 + 10763*a**2 - 28976680*a + 86833200 = 0. Calculate a.
3, 5380
Factor 2*x**3/7 + 8816*x**2/7 + 5034*x + 26424/7.
2*(x + 1)*(x + 3)*(x + 4404)/7
Find z, given that -5*z**4 - 6485*z**3 - 2066510*z**2 + 23694420*z + 55603080 = 0.
-654, -2, 13
Find h, given that -2*h**3 - 646*h**2 + 15916*h = 0.
-346, 0, 23
Solve 2*i**2 - 1176*i - 74936 = 0.
-58, 646
Let 2*g**5/3 + 64*g**4/3 - 10040*g**3/3 - 41020*g**2/3 - 3534*g + 20532 = 0. Calculate g.
-87, -3, -2, 1, 59
Let -4*b**3 - 33296*b**2 - 1259472*b = 0. What is b?
-8286, -38, 0
Factor 2*d**2/9 - 16514*d/9.
2*d*(d - 8257)/9
Let 4*y**4/3 - 508*y**3 + 500*y**2 + 7588*y/3 + 1520 = 0. What is y?
-1, 3, 380
Suppose -18*p**4/7 + 6456*p**3/7 + 8632*p**2/7 + 2880*p/7 = 0. What is p?
-2/3, 0, 360
Let -90*c**3/7 - 5858*c**2/7 + 5420*c/7 + 528/7 = 0. Calculate c.
-66, -4/45, 1
Factor -85*g**2 + 388545*g - 45710.
-5*(g - 4571)*(17*g - 2)
Find n, given that 2*n**2/13 + 6222*n/13 - 6224/13 = 0.
-3112, 1
Find f, given that f**2/4 + 722*f = 0.
-2888, 0
Factor 5*f**2 + 685*f - 143070.
5*(f - 114)*(f + 251)
Factor -2*z**3 + 394*z**2 - 16112*z - 337080.
-2*(z - 106)**2*(z + 15)
Factor -99*t**2/4 + 15941*t/4 - 161/2.
-(t - 161)*(99*t - 2)/4
Find c, given that -3*c**3 - 458781*c**2 - 17540229885*c - 17539771107 = 0.
-76463, -1
Factor -7*z**3/5 + 1433*z**2/5 + 82*z.
-z*(z - 205)*(7*z + 2)/5
Factor 5*t**5 + 105*t**4 - 5090*t**3 - 15850*t**2 - 16035*t - 5375.
5*(t - 25)*(t + 1)**3*(t + 43)
Determine h so that 12*h**2 + 10744*h - 10756 = 0.
-2689/3, 1
Solve 2*n**3/9 - 400190*n**2/9 + 6673068202*n/3 - 2224311602 = 0 for n.
1, 100047
Let -f**2 - 1055388*f - 278460957636 = 0. What is f?
-527694
Solve 2*j**3/5 + 6466*j**2/5 - 446624*j/5 + 7631912/5 = 0 for j.
-3301, 34
Find i, given that -6*i**5 - 268*i**4 - 1250*i**3 + 39940*i**2 - 99904*i - 84672 = 0.
-28, -27, -2/3, 4, 7
Factor -8*p**2/9 - 1767338*p/9 - 147278/3.
-2*(p + 220917)*(4*p + 1)/9
Suppose 85*p**2 + 335*p + 250 = 0. Calculate p.
-50/17, -1
Find i such that -4*i**4 - 80*i**3 - 356*i**2 - 232*i + 672 = 0.
-14, -4, -3, 1
Factor -4*a**3 - 22592*a**2 - 180544*a - 360960.
-4*(a + 4)**2*(a + 5640)
Suppose -2*j**5/11 + 94*j**4/11 + 294*j**3/11 - 59102*j**2/11 + 588700*j/11 = 0. What is j?
-25, 0, 14, 29
Factor 5*n**4 + 985*n**3 + 28350*n**2.
5*n**2*(n + 35)*(n + 162)
What is n in -4*n**3/9 - 21760*n**2/9 - 7252*n/3 = 0?
-5439, -1, 0
Factor -18*f**2/13 - 609142*f/13 - 135364/13.
-2*(f + 33841)*(9*f + 2)/13
Factor 2*b**2 - 217878*b - 435764.
2*(b - 108941)*(b + 2)
Factor 4*j**2 + 2120*j - 296700.
4*(j - 115)*(j + 645)
Let 2*o**3/9 - 440*o**2/3 + 21344*o - 8057728/9 = 0. What is o?
92, 476
Let -22*y**5/9 + 17818*y**4/9 - 3570916*y**3/9 - 14991428*y**2/9 + 16888058*y/9 + 1656490/9 = 0. Calculate y.
-5, -1/11, 1, 407
Determine d so that -d**4/2 + 135*d**3 + 3103*d**2/2 - 1686*d = 0.
-12, 0, 1, 281
Suppose 3*x**3 + 594*x**2 - 50499*x - 51090 = 0. Calculate x.
-262, -1, 65
Solve 3*y**2/2 + 1555308*y + 403163829144 = 0.
-518436
What is d in 2*d**3 + 1108*d**2 + 195794*d + 10741464 = 0?
-223, -108
Factor -3*x**3 - 303*x**2 - 7254*x.
-3*x*(x + 39)*(x + 62)
Factor r**3/2 + 62*r**2 - 651*r/2 - 387.
(r - 6)*(r + 1)*(r + 129)/2
Factor -3*l**3/2 - 882*l**2 + 1767*l/2.
-3*l*(l - 1)*(l + 589)/2
Let 3*d**2/7 + 8121*d - 113706/7 = 0. Calculate d.
-18951, 2
Factor 2*x**2/7 + 256*x - 7392.
2*(x - 28)*(x + 924)/7
Factor -9*s**4 - 636*s**3 - 325*s**2 + 6550*s - 7000.
-(s + 4)*(s + 70)*(3*s - 5)**2
Find y such that -5*y**4/6 - 14675*y**3/6 - 3591705*y**2/2 - 3586815*y/2 = 0.
-1467, -1, 0
Factor y**4/3 - 103*y**3/3 + 1051*y**2/3 - 1211*y + 1380.
(y - 92)*(y - 5)*(y - 3)**2/3
Factor 2*j**3 + 70234*j**2 - 140474*j + 70238.
2*(j - 1)**2*(j + 35119)
Solve 2*a**2/3 - 988*a = 0 for a.
0, 1482
Solve 2*y**4 + 108*y**3 - 960*y**2 + 1984*y = 0 for y.
-62, 0, 4
Factor y**3 + 1834*y**2 - 16579*y + 14744.
(y - 8)*(y - 1)*(y + 1843)
Find m such that 3*m**3/2 + 207*m**2/2 + 804*m - 8874 = 0.
-58, -17, 6
Suppose i**3/4 + 23041*i**2/4 - 80677*i/2 - 103716 = 0. Calculate i.
-23048, -2, 9
What is h in 3*h**2 - 201*h - 5874 = 0?
-22, 89
Find r, given that -100*r**5/3 + 440*r**4/3 - 464*r**3/3 + 136*r**2/3 - 4*r = 0.
0, 1/5, 1, 3
Let -4*u**4 + 124*u**3 - 852*u**2 + 1220*u + 2200 = 0. What is u?
-1, 5, 22
Solve h**3/2 + 485*h**2 - 5874*h + 17676 = 0 for h.
-982, 6
Let -b**2/5 - 10263*b/5 + 41068/5 = 0. Calculate b.
-10267, 4
Let -2*h**5 - 616*h**4/3 + 6788*h**3/3 - 24352*h**2/3 + 10598*h - 2712 = 0. Calculate h.
-113, 1/3, 3, 4
Solve 24*v**5 + 650*v**4 + 3556*v**3 + 3118*v**2 - 52*v - 240 = 0 for v.
-20, -6, -1, -1/3, 1/4
Find z, given that 5*z**2 - 630*z + 625 = 0.
1, 125
Factor 3*c**3 + 3573*c**2 + 10662*c - 35640.
3*(c - 2)*(c + 5)*(c + 1188)
Factor -9*i**2 - 10581*i - 7050.
-3*(i + 1175)*(3*i + 2)
Let -2*k**3/9 - 26*k**2/3 + 3738*k - 145530 = 0. What is k?
-165, 63
Factor -g**3 + 24856*g**2 - 154480037*g + 308860658.
-(g - 12427)**2*(g - 2)
What is m in 4*m**3 - 1712*m**2/3 + 4468*m/3 + 560 = 0?
-1/3, 3, 140
Determine w, given that 3*w**2 + 95826*w - 95829 = 0.
-31943, 1
Suppose -c**3 - 6660*c**2 - 11095557*c - 22164482 = 0. What is c?
-3329, -2
Suppose -7*s**4 - 82*s**3 + 116*s**2 + 1224*s + 1440 = 0. Calculate s.
-12, -2, 30/7
Factor 3*c**2 + 189675*c + 189672.
3*(c + 1)*(c + 63224)
Let 5*g**3 + 220*g**2 + 820*g + 800 = 0. Calculate g.
-40, -2
Solve -4*m**2 + 19620*m + 1635736 = 0.
-82, 4987
Suppose v**3/2 - 455557*v**2 + 103765634566*v + 207533091364 = 0. Calculate v.
-2, 455558
Factor -20*v**2 + 7740*v - 748845.
-5*(2*v - 387)**2
Let -v**4/9 - 53*v**3/9 + 973*v**2/9 + 2297*v/9 - 1072/3 = 0. What is v?
-67, -3, 1, 16
Let 4*t**5 + 9468*t**4 - 9484*t**3 - 28396*t**2 + 47352*t - 18944 = 0. Calculate t.
-2368, -2, 1
Factor -5*h**3/2 + 395*h**2/2 - 2590*h + 4410.
-5*(h - 63)*(h - 14)*(h - 2)/2
Determine y so that 3*y**5 + 225*y**4/4 - 138*y**3 + 315*y**2/4 = 0.
-21, 0, 1, 5/4
Factor 285*h**3 + 3125*h**2 + 6730*h - 240.
5*(h + 3)*(h + 8)*(57*h - 2)
Solve -8*h**5/7 + 34596*h**4/7 - 190072*h**3/7 + 22204*h**2 + 241896*h/7 - 19744 = 0.
-1, 1/2, 2, 4, 4319
Factor -k**3/3 + 41*k**2 - 1220*k/3 - 448.
-(k - 112)*(k - 12)*(k + 1)/3
Find c, given that -4*c**3/5 - 533444*c**2/5 = 0.
-133361, 0
Factor 2*w**2/7 + 1133152*w/7 + 160504181888/7.
2*(w + 283288)**2/7
Find t, given that -6*t**2/7 + 15738*t/7 + 15744/7 = 0.
-1, 2624
Solve m**4/4 + 35*m**3/4 - 1025*m**2/4 - 16935*m/4 - 3969 = 0 for m.
-49, -12, -1, 27
Find h such that -445*h**2 - 420*h + 25 = 0.
-1, 5/89
Factor -75*z**3/2 - 705030*z**2 - 564006*z - 112800.
-3*(z + 18800)*(5*z + 2)**2/2
Factor 5*i**4 + 176655*i**3 + 2080819125*i**2 + 8175534103125*i + 48978333281250.
5*(i + 6)*(i + 11775)**3
Factor 2*c**3/7 - 4188*c**2/7 - 8*c/7 + 16752/7.
2*(c - 2094)*(c - 2)*(c + 2)/7
Find d, given that -d**4/8 - 897*d**3/2 - 3229173*d**2/8 - 9623043*d/4 = 0.
-1791, -6, 0
Factor -2*k**2/3 - 68