*3
Find h such that -2*h**4 + 4528*h**3 - 1850528*h**2 - 806346240*h - 63424972800 = 0.
-140, 1272
Determine f, given that -6*f**5 + 9*f**4 + 723*f**3 + 1026*f**2 - 8088*f + 6336 = 0.
-8, -11/2, 1, 2, 12
Factor -2*h**2/7 + 314*h/7 - 8712/7.
-2*(h - 121)*(h - 36)/7
Factor -3*t**4 + 81*t**3 + 2478*t**2 + 6624*t.
-3*t*(t - 46)*(t + 3)*(t + 16)
What is t in 2*t**4/3 - 9800*t**3/3 + 29380*t**2/3 + 9800*t/3 - 9794 = 0?
-1, 1, 3, 4897
Find n such that n**2 - 1933*n + 19230 = 0.
10, 1923
Factor 2*j**3/5 + 194*j**2/5 + 704*j - 8320.
2*(j - 8)*(j + 40)*(j + 65)/5
Factor 13*a**3 + 55*a**2 - 2516*a - 5148.
(a - 13)*(a + 2)*(13*a + 198)
Factor -6*d**2/7 + 573*d/7 - 285/7.
-3*(d - 95)*(2*d - 1)/7
Find a such that -5*a**2 + 450500*a - 10147512500 = 0.
45050
Determine x, given that 5*x**2 + 289370*x = 0.
-57874, 0
Determine u, given that 4*u**2 - 4956*u - 14904 = 0.
-3, 1242
What is f in -17628*f**2 - 1138*f - 12 = 0?
-2/39, -3/226
Find c such that 722*c**2/11 - 19152*c/11 + 127008/11 = 0.
252/19
Let 9*q**4 - 7683*q**3 + 20436*q**2 - 10212*q = 0. What is q?
0, 2/3, 2, 851
Factor -2*m**3 - 8*m**2 - 8*m.
-2*m*(m + 2)**2
Factor w**2/5 + 1060*w - 10620.
(w - 10)*(w + 5310)/5
Determine a, given that -5*a**5 + 2110*a**4 - 43985*a**3 - 6320*a**2 + 127780*a + 88000 = 0.
-1, 2, 22, 400
Factor 3*c**2 + 224757*c + 224754.
3*(c + 1)*(c + 74918)
Solve -f**2/3 + 6269*f/3 - 6268/3 = 0.
1, 6268
Find o such that -3*o**5 + 147*o**4 - 1854*o**3 + 1428*o**2 + 3432*o = 0.
-1, 0, 2, 22, 26
What is o in -o**3/4 + 1681*o**2/4 + 3375*o + 5067 = 0?
-6, -2, 1689
Solve -2*n**5 + 184*n**4 + 1356*n**3 + 2952*n**2 + 1782*n = 0 for n.
-3, -1, 0, 99
Factor -2*c**2/9 - 9992*c/3 - 12480008.
-2*(c + 7494)**2/9
Suppose -5*t**2 + 1016580*t - 51671744820 = 0. Calculate t.
101658
Suppose -2*g**2/11 - 6096*g/11 - 42120 = 0. Calculate g.
-2970, -78
Find l, given that -4*l**3/3 - 1144*l**2 - 272428*l - 33781072/3 = 0.
-403, -52
Factor -3*f**3 + 18*f**2 + 75*f + 54.
-3*(f - 9)*(f + 1)*(f + 2)
Solve -2*l**2/9 - 982*l/3 - 282220/9 = 0 for l.
-1370, -103
Factor -4*b**3 + 53844*b**2 - 322920*b.
-4*b*(b - 13455)*(b - 6)
Factor 4*y**3 - 25904*y**2 - 129620*y.
4*y*(y - 6481)*(y + 5)
Factor g**3/5 + 138*g**2/5 + 4473*g/5 - 20164/5.
(g - 4)*(g + 71)**2/5
Solve -15*o**4/4 - 513*o**3/2 - 2337*o**2 - 4374*o - 1392 = 0 for o.
-58, -8, -2, -2/5
Suppose 584188900*j**2 + 1160160*j + 576 = 0. Calculate j.
-12/12085
Solve -k**2/4 + 327*k/4 + 82 = 0 for k.
-1, 328
Find h, given that -2*h**5 + 504*h**4 - 33674*h**3 + 238548*h**2 - 9272*h - 1250256 = 0.
-2, 3, 7, 122
Suppose -2*k**5/13 - 98*k**4/13 - 96*k**3/13 = 0. Calculate k.
-48, -1, 0
Factor 2*o**3/9 - 40*o**2/9 + 250*o/9 - 500/9.
2*(o - 10)*(o - 5)**2/9
Factor -6*z**3/7 + 38126*z**2/7 - 60572682*z/7 + 20186658/7.
-2*(z - 3177)**2*(3*z - 1)/7
Factor 3*p**4 - 846*p**3 - 4293*p**2 - 3444*p.
3*p*(p - 287)*(p + 1)*(p + 4)
Solve k**2/3 + 390*k - 2344/3 = 0.
-1172, 2
Factor 5*k**2 - 3420*k - 292985.
5*(k - 761)*(k + 77)
Suppose 2*y**5/5 + 94*y**4/5 + 712*y**3/5 + 1016*y**2/5 - 1824*y/5 = 0. What is y?
-38, -6, -4, 0, 1
Let -f**3/3 + 453485*f**2/3 - 906967*f/3 + 151161 = 0. What is f?
1, 453483
Factor -2*n**2/5 - 123128*n/5 + 24626.
-2*(n - 1)*(n + 61565)/5
Factor t**5 - 5043*t**4 + 8446826*t**3 - 4647553414*t**2 - 86275550235*t - 81619544951.
(t - 1687)**3*(t + 1)*(t + 17)
Suppose -3*v**4/2 - 45*v**3/2 + 135*v**2 + 1020*v + 864 = 0. Calculate v.
-18, -4, -1, 8
Find g such that 793*g**3 + 5006*g**2 + 1503*g + 90 = 0.
-6, -3/13, -5/61
Let -2*z**3/13 + 64*z**2/13 - 418*z/13 - 484/13 = 0. Calculate z.
-1, 11, 22
Let k**2 - 43060*k + 463540900 = 0. Calculate k.
21530
Solve -g**5 + 4*g**4 + 402*g**3 + 1836*g**2 + 999*g - 3240 = 0.
-15, -3, 1, 24
Find u, given that -u**5 - 4533*u**4 - 5134734*u**3 + 5234458*u**2 + 107721039*u - 231268005 = 0.
-2267, -5, 3
Let -4*x**2 + 1144*x + 122508 = 0. What is x?
-83, 369
Solve 2*n**3 + 72*n**2 - 2984*n - 6240 = 0 for n.
-60, -2, 26
Let -21*o**5/8 + 4689*o**4/8 + 8133*o**3/8 - 7389*o**2/8 - 1014*o + 675/2 = 0. Calculate o.
-2, -1, 2/7, 1, 225
Solve 16*u**4/9 - 3816*u**3 - 5725*u**2/3 - 2147*u/9 = 0.
-1/4, 0, 2147
Find x such that 4*x**2 + 896*x - 2724 = 0.
-227, 3
Solve 2*u**4/5 + 2868*u**3/5 + 1031024*u**2/5 + 2027712*u/5 - 8202496/5 = 0.
-716, -4, 2
Factor v**4 - 7968*v**3 - 7969*v**2.
v**2*(v - 7969)*(v + 1)
Solve v**4/5 - 441*v**3/5 + 12113*v**2 - 491175*v + 479150 = 0 for v.
1, 70, 185
Suppose 81*d**5 + 105294*d**4 + 46269606*d**3 + 7144598160*d**2 + 119288565921*d - 8875411062 = 0. Calculate d.
-427, -19, 2/27
Solve y**3/4 + 857*y**2/2 + 10241*y/4 - 2989 = 0.
-1708, -7, 1
Let -4*a**5/3 + 1084*a**4/3 - 9548*a**3/3 + 30548*a**2/3 - 13648*a + 6288 = 0. Calculate a.
1, 2, 3, 262
What is g in -128*g**3 + 104928*g**2 + 26238*g + 1640 = 0?
-1/8, 820
Factor 2*f**3/7 + 322*f**2 + 624800*f/7 - 5807232/7.
2*(f - 9)*(f + 568)**2/7
Factor 2*p**2 + 35178*p - 70364.
2*(p - 2)*(p + 17591)
Factor 2*y**2/11 + 152*y/11 - 1344/11.
2*(y - 8)*(y + 84)/11
Factor -27*t**3 - 5631*t**2 - 295152*t - 162240.
-3*(t + 104)**2*(9*t + 5)
Suppose -k**5 - 21*k**4 + 872*k**3 - 8592*k**2 + 33536*k - 46080 = 0. Calculate k.
-45, 4, 8
Find u, given that -u**2 - 58938*u - 868421961 = 0.
-29469
Factor 4*c**2/7 + 3219000*c/7 + 647622562500/7.
4*(c + 402375)**2/7
Factor -4*w**3 + 42580*w**2 + 42584*w.
-4*w*(w - 10646)*(w + 1)
What is v in 27*v**5 + 717*v**4 - 31686*v**3 + 310230*v**2 - 860949*v - 579555 = 0?
-53, -5/9, 9
Factor -5*b**4 + 290*b**3 - 560*b**2.
-5*b**2*(b - 56)*(b - 2)
Find t, given that -t**5 - 217*t**4 - 2822*t**3 + 4138*t**2 + 15879*t + 9135 = 0.
-203, -15, -1, 3
Determine g, given that -3*g**4 + 309*g**3 + 195*g**2 - 135549*g - 135432 = 0.
-19, -1, 24, 99
Factor 9*z**3 - 9807*z**2 - 3270*z.
3*z*(z - 1090)*(3*z + 1)
Factor -2*b**2/11 - 328924*b/11 - 13523874722/11.
-2*(b + 82231)**2/11
Let q**4 - 630*q**3 + 88633*q**2 + 3336480*q + 28047616 = 0. Calculate q.
-16, 331
Determine i so that 2*i**4 + 298*i**3 - 2154*i**2 + 4662*i - 2808 = 0.
-156, 1, 3
Let -5*f**3 + 543770*f**2 + 1087555*f + 543780 = 0. What is f?
-1, 108756
Let -4*d**3 - 12*d**2 + 1144*d + 1152 = 0. Calculate d.
-18, -1, 16
What is z in -3*z**2/5 - 35418*z/5 = 0?
-11806, 0
Factor 2*a**3/3 + 1078*a**2/3 + 190688*a/3 + 3672360.
2*(a + 135)*(a + 202)**2/3
Let -2*i**2/7 - 982*i/7 - 117576/7 = 0. Calculate i.
-284, -207
Solve 16*h**3 + 883304*h**2 + 1324929*h + 496845 = 0.
-55205, -3/4
Suppose -y**3/3 + 263*y**2/3 - 3533*y - 3621 = 0. Calculate y.
-1, 51, 213
Determine l so that -2*l**5 - 9952*l**4 - 59666*l**3 - 129244*l**2 - 119288*l - 39760 = 0.
-4970, -2, -1
Factor -y**3 + 2024*y**2 - 4045*y + 2022.
-(y - 2022)*(y - 1)**2
Determine j so that -3*j**5/5 + 63*j**4/5 - 24*j**3 - 792*j**2/5 + 528*j/5 + 432 = 0.
-2, 2, 5, 18
Factor -3*v**4 - 126*v**3 + 1653*v**2 - 5004*v + 4452.
-3*(v - 7)*(v - 2)**2*(v + 53)
Solve 2*u**2/13 + 198032*u/13 + 4902084128/13 = 0 for u.
-49508
Suppose -2*g**3/11 + 488*g**2/11 - 10950*g/11 = 0. Calculate g.
0, 25, 219
Factor 5*x**2 + 63570*x + 381240.
5*(x + 6)*(x + 12708)
Solve 1715*r**5 + 126665*r**4 + 351260*r**3 + 239440*r**2 + 62560*r + 5680 = 0.
-71, -2, -2/7
Factor 5*m**4 - 275*m**3 + 260*m**2 + 540*m.
5*m*(m - 54)*(m - 2)*(m + 1)
Let -8*q**3 - 6888*q**2 + 48510*q - 85064 = 0. What is q?
-868, 7/2
Determine t, given that 126*t**3 - 3077710*t**2 - 2247268*t - 390832 = 0.
-4/9, -2/7, 24427
Factor -3*l**3 + 1401*l**2 + 58980*l + 112332.
-3*(l - 506)*(l + 2)*(l + 37)
Factor -2*k**3/11 - 3746*k**2/11 - 37260*k/11.
-2*k*(k + 10)*(k + 1863)/11
Determine s, given that -2*s**3/11 + 2*s**2/11 + 64*s/11 - 120/11 = 0.
-6, 2, 5
Determine p, given that p**5/5 - 61*p**4/10 + 241*p**3/5 - 792*p**2/5 + 1134*p/5 - 1107/10 = 0.
1, 3, 41/2
Solve -2*y**3 + 22*y**2 + 324*y + 720 = 0.
-6, -3, 20
Determine q so that -15*q**4 + 91765*q**3 - 152890*q**2 - 61160*q = 0.
-1/3, 0, 2, 6116
Factor 3*z**2 + 98295*z + 98292.
3*(z + 1)*(z + 32764)
What is v in -5*v**2/2 - 14685*v = 0?
-5874, 0
Find a such that -2*a**5 - 362*a**4 + 1122*a**3 + 3258*a**2 - 9936*a = 0.
-184, -3, 0, 3
Factor m**2/4 + 437*m - 875.
(m - 2)*(m + 1750)/4
What is s in -4*s**4 - 320*s**3 + 1700*s**2 = 0?
-85, 0, 5
Factor -2*s**3 + 1822*s**2 - 1808*s - 10920.
-2*(s - 910)*(s - 3)*(s + 2)
What is s in 2*s**3/3 - 10214*s**2 + 3062