- 142*a**4 - 2313*a**3 - 10044*a**2.
-a**2*(a + 9)**2*(a + 124)
Solve 5*s**4 - 375*s**3 + 7195*s**2 - 40425*s = 0 for s.
0, 11, 15, 49
Factor -j**2 - 3300*j + 33100.
-(j - 10)*(j + 3310)
Suppose 5*o**2 + 24271*o + 4854 = 0. Calculate o.
-4854, -1/5
Let -68*q**5/3 - 8972*q**4/3 - 59992*q**3/3 - 124552*q**2/3 - 22988*q + 1500 = 0. Calculate q.
-125, -3, -1, 1/17
Let -2*l**2/7 - 8782*l/7 - 35096/7 = 0. Calculate l.
-4387, -4
Find k, given that 102*k**3 - 3171*k**2 - 2985*k + 288 = 0.
-1, 3/34, 32
Let -2*n**4 - 134*n**3 + 4024*n**2 + 116136*n + 215136 = 0. Calculate n.
-83, -18, -2, 36
Let 3*q**5 + 3870*q**4 - 23295*q**3 + 42750*q**2 - 23328*q = 0. Calculate q.
-1296, 0, 1, 2, 3
Find l such that -4*l**5 - 40*l**4 + 184*l**3 + 304*l**2 - 852*l - 936 = 0.
-13, -2, -1, 3
Determine m so that 243*m**4 - 194049*m**3 + 39029646*m**2 - 115734240*m + 76898400 = 0.
1, 2, 3580/9
Factor 4*o**3/7 + 52*o**2/7 - 184*o/7 + 128/7.
4*(o - 2)*(o - 1)*(o + 16)/7
What is n in n**5/6 - 47*n**4/6 + 359*n**3/6 - 637*n**2/6 - 60*n + 114 = 0?
-1, 1, 3, 6, 38
Factor 2*j**2/9 - 248*j/3 - 33866/9.
2*(j - 413)*(j + 41)/9
Factor -i**3 - 5466*i**2 - 10928*i.
-i*(i + 2)*(i + 5464)
Suppose 4*v**4 - 677*v**3 + 11169*v**2 - 22078*v + 4832 = 0. What is v?
1/4, 2, 16, 151
Factor -3*u**3 + 27888*u**2 - 334140*u - 779856.
-3*(u - 9284)*(u - 14)*(u + 2)
Suppose 21*c**4/5 - 168153*c**3/5 + 6748722*c**2/5 - 13767456*c + 3824160 = 0. Calculate c.
2/7, 20, 7967
Suppose -260*h**4 - 8315*h**3 + 8740*h**2 - 165*h = 0. What is h?
-33, 0, 1/52, 1
Factor -2*c**5 + 1266*c**4 + 2538*c**3 + 1270*c**2.
-2*c**2*(c - 635)*(c + 1)**2
What is u in -u**2/6 - 5023*u/3 - 10045/6 = 0?
-10045, -1
Determine c, given that -c**5/4 - 7*c**4/2 + 143*c**3/2 - 31*c**2 - 9093*c/4 + 11025/2 = 0.
-25, -6, 3, 7
Factor -5*q**2 + 37420*q + 37425.
-5*(q - 7485)*(q + 1)
What is y in 2*y**4 + 3227*y**3/2 - 1615*y**2/4 - 807*y/4 = 0?
-807, -1/4, 0, 1/2
Factor -h**2/3 - 8908*h - 26723/3.
-(h + 1)*(h + 26723)/3
Factor 4*o**3 - 188*o**2 - 204816*o.
4*o*(o - 251)*(o + 204)
Factor 3*w**3 - 13035*w**2 - 1083999*w - 22325361.
3*(w - 4427)*(w + 41)**2
Determine k so that -2*k**3/9 + 3892*k**2/9 - 7778*k/9 + 432 = 0.
1, 1944
Solve -3*i**5 - 786*i**4 - 3852*i**3 + 786*i**2 + 3855*i = 0 for i.
-257, -5, -1, 0, 1
Solve 2*v**4 - 8962*v**3 - 8966*v**2 + 8962*v + 8964 = 0.
-1, 1, 4482
Factor -3*h**2/5 - 894*h + 17928/5.
-3*(h - 4)*(h + 1494)/5
Solve -51*d**4/7 - 99*d**3/7 + 363*d**2/7 - 225*d/7 + 12/7 = 0 for d.
-4, 1/17, 1
Let 2*g**4 - 242*g**3 + 4412*g**2 - 3192*g - 232848 = 0. Calculate g.
-6, 14, 99
Suppose -3*x**2 - 1725*x - 229482 = 0. What is x?
-366, -209
Find t, given that 4*t**4/9 + 92*t**3/3 + 2896*t**2/9 - 368*t/3 - 11648/9 = 0.
-56, -13, -2, 2
Determine c, given that -2*c**3/9 - 76*c**2/9 + 29536*c/9 = 0.
-142, 0, 104
Solve o**3 + 3481*o**2 - 3488*o - 20892 = 0.
-3482, -2, 3
Determine s, given that 2*s**5/15 - 814*s**4/15 + 2416*s**3/15 + 3232*s**2/15 = 0.
-1, 0, 4, 404
Factor -2*v**3/17 + 94*v**2/17 - 684*v/17.
-2*v*(v - 38)*(v - 9)/17
Solve 4*p**3 - 244*p**2 + 1352*p - 1760 = 0.
2, 4, 55
Suppose 3*x**4/5 - 459*x**3/5 + 438*x**2/5 + 2736*x/5 = 0. Calculate x.
-2, 0, 3, 152
Factor -242*x**3 - 27280*x**2 - 19744*x - 3584.
-2*(x + 112)*(11*x + 4)**2
Factor -r**3 + 828*r**2 - 5753*r + 4926.
-(r - 821)*(r - 6)*(r - 1)
What is k in -2*k**4/5 - 216*k**3/5 - 7542*k**2/5 - 18128*k - 58080 = 0?
-44, -15, -5
Find m, given that -m**3 - 314*m**2 + 2277*m + 9630 = 0.
-321, -3, 10
Factor -n**2/4 - 307885*n/4 + 307887/2.
-(n - 2)*(n + 307887)/4
Suppose p**4/9 + 154*p**3/9 - 629*p**2/9 + 158*p/3 = 0. What is p?
-158, 0, 1, 3
Factor 3*c**2 - 33165*c.
3*c*(c - 11055)
Suppose 5*c**2 - 565*c - 1740 = 0. Calculate c.
-3, 116
Determine b, given that -2*b**2/15 + 152*b/3 - 754/5 = 0.
3, 377
Determine w so that 2*w**3/11 + 3934*w**2/11 + 2399126*w/11 + 424714938/11 = 0.
-829, -309
Factor 62965*r**2 - 62925*r - 40.
5*(r - 1)*(12593*r + 8)
Factor p**2/7 + 9245*p/7 + 18486/7.
(p + 2)*(p + 9243)/7
Let 4*q**3 + 41500*q**2 - 166048*q + 166064 = 0. Calculate q.
-10379, 2
Find s such that -s**3 - 1676*s**2 - 19979*s - 18304 = 0.
-1664, -11, -1
Solve j**2/11 - 75*j/11 - 850/11 = 0.
-10, 85
Let -2*t**2/13 - 13168*t/13 - 21674528/13 = 0. Calculate t.
-3292
Factor -22*f**2/7 - 1808*f/7 + 7584/7.
-2*(f - 4)*(11*f + 948)/7
Let -2*p**5/13 + 230*p**4/13 - 646*p**3 + 98770*p**2/13 + 8400*p/13 - 99000/13 = 0. Calculate p.
-1, 1, 30, 55
Factor -s**3/7 - 13289*s**2/7 - 26574*s/7.
-s*(s + 2)*(s + 13287)/7
Factor 3*k**2 + 351*k - 21870.
3*(k - 45)*(k + 162)
Factor 2*h**4 + 1246*h**3 - 3750*h**2 + 3754*h - 1252.
2*(h - 1)**3*(h + 626)
Suppose -66*b**5 + 248*b**4 + 8496*b**3/11 + 7212*b**2/11 + 2470*b/11 + 300/11 = 0. Calculate b.
-1, -5/11, -1/3, 6
Solve 5*i**2 - 14395*i - 28810 = 0.
-2, 2881
Determine v so that 5*v**4/3 + 415*v**3 + 22975*v**2 - 1076165*v/3 + 858050 = 0.
-131, 3, 10
Solve 6*y**2/7 + 19830*y/7 - 79416/7 = 0.
-3309, 4
Factor -p**2/7 + 193*p/7 - 940/7.
-(p - 188)*(p - 5)/7
Suppose 2*f**3/7 - 33640*f**2/7 + 403392*f/7 = 0. What is f?
0, 12, 16808
Factor -4*d**2 - 10892*d + 297000.
-4*(d - 27)*(d + 2750)
Factor 2*b**3/13 + 16*b**2/13 - 382*b/13 - 396/13.
2*(b - 11)*(b + 1)*(b + 18)/13
Suppose -2*j**3 + 1144*j**2 - 5658*j - 6804 = 0. What is j?
-1, 6, 567
Factor -f**3 - 3927*f**2 - 15696*f - 15692.
-(f + 2)**2*(f + 3923)
Let -293907*g**5 + 3756*g**4 + 3526872*g**3 - 4747584*g**2 + 60240*g - 192 = 0. Calculate g.
-4, 2/313, 2
Suppose 5*l**4 + 9065*l**3 - 9070*l**2 = 0. What is l?
-1814, 0, 1
Suppose -k**4/6 + 617*k**3/6 - 6701*k**2/6 + 21235*k/6 - 2525 = 0. What is k?
1, 5, 606
Factor -2*a**2/11 - 82054*a/11.
-2*a*(a + 41027)/11
Let 44*p**2 + 52310*p - 7134 = 0. What is p?
-1189, 3/22
Determine n so that 4*n**5 + 1692*n**4 + 235532*n**3 + 11999204*n**2 + 206088960*n + 194323600 = 0.
-170, -41, -1
Factor -y**2/5 + 67678*y/5 - 1145077921/5.
-(y - 33839)**2/5
Find z, given that -z**2/3 - 5812*z/3 - 1937 = 0.
-5811, -1
Solve 255*f**2 + 6946*f + 272 = 0 for f.
-136/5, -2/51
Find s, given that -3*s**4 - 9*s**3 + 81*s**2 - 39*s - 126 = 0.
-7, -1, 2, 3
Determine r, given that -3*r**3 + 981*r**2 - 16902*r + 66744 = 0.
6, 12, 309
Find p, given that 3*p**3/8 + 8517*p**2/8 - 64215*p/4 = 0.
-2854, 0, 15
Factor 2*f**3 - 684*f**2 + 2694*f + 3380.
2*(f - 338)*(f - 5)*(f + 1)
Determine v so that 5*v**3 - 4570*v**2 + 17975*v + 204750 = 0.
-5, 9, 910
Solve -2*v**3/9 - 160*v**2/9 + 578*v/9 + 6640/9 = 0.
-83, -5, 8
Determine f so that -f**2 + 2063*f = 0.
0, 2063
Factor -2*x**3 - 427*x**2 - 14833*x - 7310.
-(x + 43)*(x + 170)*(2*x + 1)
Factor 2*z**3/5 - 144*z**2/5 + 3456*z/5 - 27648/5.
2*(z - 24)**3/5
Suppose -2*d**5/9 + 424*d**4/9 + 2164*d**3/9 + 1312*d**2/9 - 2162*d/9 - 1736/9 = 0. What is d?
-4, -1, 1, 217
Factor -q**4 + 296*q**3 - 581*q**2 - 2054*q - 1176.
-(q - 294)*(q - 4)*(q + 1)**2
Let 4*r**5/5 - 57876*r**4 - 231512*r**3 - 347272*r**2 - 231516*r - 289396/5 = 0. Calculate r.
-1, 72349
Factor u**3 + 14*u**2 - 119*u - 456.
(u - 8)*(u + 3)*(u + 19)
Let -3*o**3 - 20952*o**2 - 41895*o - 20946 = 0. What is o?
-6982, -1
Factor 4*b**4 - 180*b**3 + 1468*b**2 - 2412*b + 1120.
4*(b - 35)*(b - 8)*(b - 1)**2
Find j, given that -5*j**3 - 465*j**2 + 3440*j - 6000 = 0.
-100, 3, 4
Factor i**2/3 + 206681*i/3 - 413366/3.
(i - 2)*(i + 206683)/3
Let 4*i**4 + 468*i**3 + 3984*i**2 + 10432*i + 6912 = 0. What is i?
-108, -4, -1
Determine h so that -2*h**5/9 - 1034*h**4 - 9304*h**3/9 = 0.
-4652, -1, 0
Factor -26*r**3 + 99*r**2/2 + 83*r + 15/2.
-(r - 3)*(r + 1)*(52*r + 5)/2
Factor g**4/2 + 27*g**3/2 - 11232*g**2 + 556686*g.
g*(g - 78)**2*(g + 183)/2
Solve -46*w**2/7 + 28*w - 48/7 = 0 for w.
6/23, 4
Factor 2*g**3 - 404*g**2 + 5234*g + 5640.
2*(g - 188)*(g - 15)*(g + 1)
Let 4*u**5 + 108*u**4/5 - 20*u**3 - 636*u**2/5 + 368*u/5 + 48 = 0. What is u?
-5, -3, -2/5, 1, 2
Suppose -2*a**5 - 2812*a**4 - 1060898*a**3 - 50595392*a**2 - 404199328*a + 7026462976 = 0. Calculate a.
-676, -31, 8
Factor l**3/6 - 5107*l**2/6 - l/6 + 5107/6.
(l - 5107)*(l - 1)*(l + 1)/6
Factor -w**4 - 2965*w**3 + 12*w**2 + 35564*w - 47440.
-(w - 2)**2*(w + 4)*(w + 2965)
Factor -w**3/9 + 7*w**2/3 + 284*w/3 - 3680/9.
-(w - 40)*(w - 4)*(w + 23)/9
Determine l, given that l**3 - 3722*l**2 - 18631*l - 14908 = 0.
-4, -1, 3727
Factor -3*x**3 - 1