0*k**2 + 1995994*k + 4008004.
2*(k - 1001)**2*(k + 2)
Determine m so that m**3 + 390011*m**2 + 780019*m + 390009 = 0.
-390009, -1
Determine z so that 15*z**3/7 + 246*z**2/7 - 3804*z/7 - 1560/7 = 0.
-26, -2/5, 10
Factor 4*l**2 + 1068472*l - 2136960.
4*(l - 2)*(l + 267120)
What is l in 3*l**2 - 3438*l + 17115 = 0?
5, 1141
Suppose -3*y**3 + 4216*y**2 + 11259*y + 7040 = 0. What is y?
-5/3, -1, 1408
Solve 3*h**3/4 - 11133*h**2/2 + 66777*h/4 - 22257/2 = 0 for h.
1, 2, 7419
Solve -2*p**3 + 1378*p**2 - 14916*p = 0 for p.
0, 11, 678
Factor 6*d**2/5 + 3678*d/5 + 36828.
6*(d + 55)*(d + 558)/5
Find c such that 14*c**3/5 + 5524*c**2/5 + 9224*c - 15440 = 0.
-386, -10, 10/7
Factor n**2 - 953*n - 1910.
(n - 955)*(n + 2)
Suppose 2*q**3/19 - 22832*q**2/19 - 45670*q/19 - 22836/19 = 0. Calculate q.
-1, 11418
Factor 3*v**2 + 5705544*v + 2712769361328.
3*(v + 950924)**2
Factor i**4/7 + 584*i**3/7 + 4624*i**2/7 + 9216*i/7.
i*(i + 4)**2*(i + 576)/7
Determine u so that -u**3 + 16782*u**2 + 50353*u + 33570 = 0.
-2, -1, 16785
Solve 10*u**3 + 449605*u**2/2 + 1263432200*u + 315844000 = 0.
-11240, -1/4
Let -y**4/3 + 34*y**3 - 296*y**2/3 - 34*y + 99 = 0. Calculate y.
-1, 1, 3, 99
Factor i**2/3 + 55833*i + 334994/3.
(i + 2)*(i + 167497)/3
Determine a, given that -4*a**5 + 72*a**4 - 320*a**3 = 0.
0, 8, 10
Solve -2*y**2/3 - 434*y/3 + 440 = 0 for y.
-220, 3
Suppose 4*y**5 + 2728*y**4 + 398460*y**3 + 1946120*y**2 + 3089936*y + 1539552 = 0. What is y?
-474, -203, -2, -1
Let 4*u**4 - 5784948*u**3 + 2788801946892*u**2 - 448140951251916156*u = 0. Calculate u.
0, 482079
Factor 4*t**3 + 181212*t**2.
4*t**2*(t + 45303)
Find l such that l**4/5 - 8139*l**3/5 - 24447*l**2 - 122285*l - 203850 = 0.
-5, 8154
What is h in -h**2/4 - 109*h + 1317/4 = 0?
-439, 3
Solve -2*f**5/11 - 1346*f**4/11 - 223078*f**3/11 + 1138370*f**2/11 - 1833312*f/11 + 919368/11 = 0 for f.
-339, 1, 2
Determine z so that -2*z**3 + 524*z**2 + 1054*z + 528 = 0.
-1, 264
Let -5*s**5 + 310*s**4 + 5035*s**3 + 21480*s**2 + 14220*s - 41040 = 0. Calculate s.
-6, -3, 1, 76
Factor 3*l**4/4 - 24*l**3 - 705*l**2/4 + 399*l/2.
3*l*(l - 38)*(l - 1)*(l + 7)/4
Factor 2*z**3/3 - 403612*z**2/3 + 20362427200*z/3 + 40726468864/3.
2*(z - 100904)**2*(z + 2)/3
Let -5*n**3 + 14125*n**2 - 238760*n + 224640 = 0. Calculate n.
1, 16, 2808
Factor 14*m**3 + 7780*m**2 - 57398*m + 15764.
2*(m - 7)*(m + 563)*(7*m - 2)
Factor -3*x**3/4 + 141*x**2/4 + 1077*x/2 - 3480.
-3*(x - 58)*(x - 5)*(x + 16)/4
Determine f, given that 4*f**4 - 27988*f**3 + 48972000*f**2 - 48944016*f = 0.
0, 1, 3498
Factor -4*m**3 - 342*m**2 + 2406*m + 1288.
-2*(m - 7)*(m + 92)*(2*m + 1)
Determine g, given that 2*g**4/9 - 97366*g**3/9 - 54096*g**2 - 779000*g/9 - 389504/9 = 0.
-2, -1, 48688
Determine d, given that 3*d**3/5 + 5154*d**2/5 + 1808763*d/5 - 72495444 = 0.
-929, 140
Find s such that 22*s**4 - 3700*s**3 + 144222*s**2 + 973008*s - 181656 = 0.
-6, 2/11, 87
Determine x so that -2*x**2/3 - 2614*x + 7844/3 = 0.
-3922, 1
Solve -91*h**5 + 89*h**4 + 11013*h**3 + 41647*h**2 + 910*h = 0.
-7, -5, -2/91, 0, 13
Let -2*y**5/3 - 2*y**4 + 66*y**3 - 746*y**2/3 + 260*y = 0. What is y?
-13, 0, 2, 3, 5
Find n such that -2*n**2 - 474*n + 20276 = 0.
-274, 37
Find g such that -4*g**5 + 44*g**4 + 288*g**3 + 496*g**2 + 256*g = 0.
-2, -1, 0, 16
Factor p**3 - 4871*p**2 - 4872*p.
p*(p - 4872)*(p + 1)
Factor 5*u**3/3 + 216795*u**2.
5*u**2*(u + 130077)/3
Solve -42*v**5 - 225*v**4 + 849*v**3 - 342*v**2 - 240*v = 0 for v.
-8, -5/14, 0, 1, 2
Solve -a**2 + 12372*a - 12371 = 0 for a.
1, 12371
Suppose -28*u**4 + 1184*u**3 + 7444*u**2 + 11224*u + 4992 = 0. Calculate u.
-26/7, -1, 48
Solve -5*m**2 + 30800*m - 47432000 = 0 for m.
3080
Find c, given that 9*c**5/5 - 123*c**4 - 1689*c**3/5 - 213*c**2 = 0.
-5/3, -1, 0, 71
Let 3*v**4/4 - 1203*v**3/4 + 14313*v**2 + 60885*v + 62100 = 0. Calculate v.
-2, 60, 345
Factor -r**5 - 11*r**4 + 57*r**3 - 45*r**2.
-r**2*(r - 3)*(r - 1)*(r + 15)
Determine o so that -o**3/9 + 9307*o**2/3 - 49616*o + 1785920/9 = 0.
8, 27905
Determine k so that -2*k**3 - 2226*k**2 + 982560*k + 1230665600 = 0.
-920, 727
Factor -3*k**2/4 + 861*k + 6936.
-3*(k - 1156)*(k + 8)/4
Determine p, given that -2*p**3 + 2786*p**2 - 16612*p - 44384 = 0.
-2, 8, 1387
Suppose -8*h**5/15 + 78*h**4/5 - 412*h**3/5 - 1222*h**2/15 + 2424*h/5 + 1848/5 = 0. What is h?
-2, -3/4, 3, 7, 22
Find v such that v**2/6 + 5795*v/3 + 11584 = 0.
-11584, -6
Determine j, given that -j**4 - 99*j**3 - 718*j**2 + 99324*j + 99944 = 0.
-62, -1, 26
Find y such that 10*y**5 + 262255*y**4 - 917970*y**3 + 1180280*y**2 - 655720*y + 131145 = 0.
-26229, 1/2, 1
Factor -2*f**2/5 - 186*f/5 - 3564/5.
-2*(f + 27)*(f + 66)/5
Factor i**3 + 389*i**2 + 22259*i - 22649.
(i - 1)*(i + 71)*(i + 319)
Suppose 3*o**3 + 933*o**2 + 67137*o - 855393 = 0. Calculate o.
-161, 11
Find x such that 2*x**4 - 214*x**3 + 1804*x**2 - 3944*x + 2352 = 0.
1, 2, 6, 98
Factor 2*v**3/5 - 144*v**2 - 2178*v/5.
2*v*(v - 363)*(v + 3)/5
Let -125*u**5 + 7275*u**4 + 14130*u**3 - 37220*u**2 - 34680*u - 7200 = 0. Calculate u.
-3, -2/5, 2, 60
Determine p so that 16*p**4/7 + 23708*p**3/7 + 41448*p**2/7 + 11836*p/7 - 5920/7 = 0.
-1480, -1, 1/4
Find b, given that 61250*b**3 + 36650*b**2/3 - 16432*b/9 + 160/3 = 0.
-15/49, 4/75
What is u in 5*u**3 - 4735*u**2 + 568230*u = 0?
0, 141, 806
Determine u, given that -3*u**2 - 60492*u - 304940172 = 0.
-10082
Suppose 5*c**4 + 98980*c**3 + 489753030*c**2 - 979803020*c + 489951005 = 0. Calculate c.
-9899, 1
Find d such that 5*d**5 - 520*d**4 + 3000*d**3 - 5930*d**2 + 4915*d - 1470 = 0.
1, 3, 98
Solve -5*g**2 + 298360*g - 4450934480 = 0 for g.
29836
Factor o**2/3 - 1130*o/3 - 377.
(o - 1131)*(o + 1)/3
Solve -2*k**4 - 169302*k**3 - 3582811248*k**2 + 3582980552*k = 0 for k.
-42326, 0, 1
Find b, given that 4*b**5/3 + 104*b**4/3 - 52*b**3/3 - 1400*b**2/3 - 416*b = 0.
-26, -3, -1, 0, 4
Suppose -w**2/5 + 1596*w/5 + 3196/5 = 0. Calculate w.
-2, 1598
Suppose 4*a**5 + 1592*a**4 + 178552*a**3 + 3911744*a**2 + 7294180*a + 3559400 = 0. Calculate a.
-185, -26, -1
Find o, given that -5*o**3 - 1745*o**2 + 263910*o = 0.
-463, 0, 114
Find t such that -174*t**3 - 96690*t**2 - 199808*t/3 - 1480 = 0.
-555, -2/3, -2/87
Factor 4*o**5 - 32080*o**4 + 64224052*o**3 + 386500056*o**2.
4*o**2*(o - 4013)**2*(o + 6)
Factor -3*f**2 - 497687*f + 165896.
-(f + 165896)*(3*f - 1)
Solve -2*j**2 + 5606*j + 67560 = 0 for j.
-12, 2815
Let -3*d**4 + 183*d**3 + 969*d**2 + 1377*d + 594 = 0. What is d?
-3, -1, 66
Factor -o**4 - 3*o**3 + 4*o.
-o*(o - 1)*(o + 2)**2
Determine h so that 6*h**2/7 - 211584*h/7 + 1865324544/7 = 0.
17632
Determine h, given that 15*h**5/2 - 267*h**4/2 + 153*h**3 + 4371*h**2 - 7041*h/2 - 1755/2 = 0.
-5, -1/5, 1, 9, 13
Suppose 2*o**5/3 + 2*o**4/3 - 290*o**3/3 - 2*o**2/3 + 3552*o - 3456 = 0. What is o?
-9, 1, 8
Let -s**3/2 + 25*s**2/2 + 41*s + 28 = 0. What is s?
-2, -1, 28
Let q**3/2 - 4231*q**2/4 + 2115*q/4 = 0. Calculate q.
0, 1/2, 2115
Let h**4/4 - 7*h**3/4 - 171*h**2/4 + 7*h/4 + 85/2 = 0. Calculate h.
-10, -1, 1, 17
Factor 3*t**3/4 + 633*t**2/2 - 1275*t/4 - 1269/2.
3*(t - 2)*(t + 1)*(t + 423)/4
Determine h, given that 6*h**2/7 - 295734*h/7 + 295728/7 = 0.
1, 49288
Let -3*r**5 + 45*r**4 - 210*r**3 + 270*r**2 + 213*r - 315 = 0. Calculate r.
-1, 1, 3, 5, 7
Factor 2*t**2/7 - 996*t/7 + 47952/7.
2*(t - 444)*(t - 54)/7
Let -2*f**3/5 - 2*f**2/5 + 42632*f/5 + 42632/5 = 0. What is f?
-146, -1, 146
Solve -67349618*t**3/5 - 69636*t**2/5 - 18*t/5 = 0 for t.
-3/5803, 0
Factor -4*m**4/9 + 13360*m**3/9 - 1653176*m**2 + 614429424*m - 612777732.
-4*(m - 1113)**3*(m - 1)/9
Suppose -b**4 - 194*b**3 + 2455*b**2 - 3532*b - 6180 = 0. What is b?
-206, -1, 3, 10
Factor -2*s**2/5 - 40410*s.
-2*s*(s + 101025)/5
Let -3*b**3/4 - 1107*b**2/2 - 102672*b - 203136 = 0. Calculate b.
-368, -2
Solve -18*c**4 + 1029*c**3 + 15987*c**2 + 12774*c + 2520 = 0.
-12, -1/2, -1/3, 70
What is v in v**2/10 + 791*v/10 - 6868/5 = 0?
-808, 17
Determine q, given that -2*q**2 - 1882*q - 417428 = 0.
-583, -358
Let 1868*m**5 - 8*m**4 - 319428*m**3 + 632752*m**2 - 316528*m + 1344 = 0. Calculate m.
-14, 2/467, 1, 12
Find h, given that h**2/3 - 181884*h + 24811342092 = 0.
272826
Factor -2*j**2/3 + 540*j - 3232/3.
-2*(j - 808)*(j - 2)/3
Factor 3*u**3/2 + 15*u**2/2 + 9*u/2 - 27/2.
3*(u - 1)*(u + 3)**2/2
Factor 12217*m**2/4 - 1229*m/4