64*x**2/9 - 123424*x - 121104.
-(x + 2)**2*(5*x + 522)**2/9
Solve -51*b**5 - 57*b**4 + 300*b**3 + 36*b**2 = 0 for b.
-3, -2/17, 0, 2
Factor -4*t**3 - 36928*t**2 - 85266740*t - 170385800.
-4*(t + 2)*(t + 4615)**2
Suppose -h**2 + 11369*h + 79632 = 0. Calculate h.
-7, 11376
Factor b**3 - 77*b**2 + 862*b - 1920.
(b - 64)*(b - 10)*(b - 3)
Factor -i**2/3 - 10261*i/3 + 41092.
-(i - 12)*(i + 10273)/3
Factor q**3/3 + 154*q**2 + 22439*q/3 + 7326.
(q + 1)*(q + 54)*(q + 407)/3
Suppose -5*u**4 - 40940*u**3 - 40930*u**2 + 40940*u + 40935 = 0. What is u?
-8187, -1, 1
Let 7*t**5/3 - 11*t**4/3 - 10*t**3 = 0. What is t?
-10/7, 0, 3
Solve -237*a**3/7 - 177*a**2/7 + 60*a/7 = 0 for a.
-1, 0, 20/79
Determine z so that z**3 - 138*z**2 - 18040*z = 0.
-82, 0, 220
Factor 7*b**3 - 779704*b**2 + 21712194515*b - 6203420498.
(b - 55693)**2*(7*b - 2)
Factor -3*v**2 - 80754*v - 543434043.
-3*(v + 13459)**2
Factor 5*z**3/2 - 1720*z**2 + 340690*z - 14789400.
5*(z - 314)**2*(z - 60)/2
Factor 3*g**3 - 10599*g**2 + 9366864*g - 9356268.
3*(g - 1766)**2*(g - 1)
Suppose 3*d**5 - 30*d**4 - 24*d**3 + 240*d**2 + 48*d - 480 = 0. What is d?
-2, 2, 10
Let -b**4/10 + 69*b**3/10 + 7*b**2/10 - 489*b/10 + 207/5 = 0. Calculate b.
-3, 1, 2, 69
Solve 2*k**3/19 + 2590*k**2/19 - 10384*k/19 + 10392/19 = 0 for k.
-1299, 2
Factor -3*x**2/4 - 795*x + 41847/4.
-3*(x - 13)*(x + 1073)/4
Determine q so that -3*q**4/2 - 459*q**3/2 - 11373*q**2/2 - 71865*q/2 + 41850 = 0.
-124, -15, 1
Let 2*v**2 - 614*v + 4200 = 0. Calculate v.
7, 300
Factor -4*h**2 - 198672*h - 397328.
-4*(h + 2)*(h + 49666)
Factor 2*d**2/3 + 206978*d + 620932/3.
2*(d + 1)*(d + 310466)/3
Suppose -x**2 + 43288*x - 468462736 = 0. Calculate x.
21644
Determine w, given that w**3/8 - 3661*w**2/8 + 1829*w/4 + 915 = 0.
-1, 2, 3660
Find h, given that 28*h**3 + 7538*h**2 - 5936*h + 1080 = 0.
-270, 2/7, 1/2
Factor 2*k**3/15 + 1698*k**2/5 - 3398*k/5 + 5098/15.
2*(k - 1)**2*(k + 2549)/15
Factor p**2/3 + 96*p + 3047/3.
(p + 11)*(p + 277)/3
Factor 3*j**2/4 + 2223*j/4 + 555.
3*(j + 1)*(j + 740)/4
Factor a**3/9 + 52*a**2/9 - 244*a/3 + 256.
(a - 6)**2*(a + 64)/9
Factor 2*n**4/5 - 1334*n**3 - 53456*n**2/5 - 106976*n/5.
2*n*(n - 3343)*(n + 4)**2/5
Factor -s**3 - 4489*s**2 - 5035535*s + 5040025.
-(s - 1)*(s + 2245)**2
Solve -4*k**3 - 19336*k**2 - 23444708*k - 186322208 = 0 for k.
-2413, -8
Find f, given that -3*f**4/5 + 6672*f**3/5 - 26649*f**2/5 + 3996*f = 0.
0, 1, 3, 2220
Determine c, given that -15*c**5 - 46795*c**4 - 77925*c**3 + 77975*c**2 + 77940*c - 31180 = 0.
-3118, -2, -1, 1/3, 1
Determine b, given that -5*b**2 + 13390*b - 53480 = 0.
4, 2674
What is t in 2*t**4/5 + 166*t**3/5 + 804*t**2/5 - 19312*t/5 + 34048/5 = 0?
-76, -16, 2, 7
Factor 2*w**2/11 + 212*w/11 - 2320/11.
2*(w - 10)*(w + 116)/11
Factor 3*n**2 + 3288*n + 29349.
3*(n + 9)*(n + 1087)
Factor 4*r**4 - 2604*r**3 + 2596*r**2 + 2604*r - 2600.
4*(r - 650)*(r - 1)**2*(r + 1)
Factor 2*t**3/7 + 5942*t**2/7 + 625794*t - 6986826.
2*(t - 11)*(t + 1491)**2/7
Factor -4*m**3 - 5176*m**2 + 551236*m - 546056.
-4*(m - 98)*(m - 1)*(m + 1393)
Let 12*o**2 + 1192*o + 2716 = 0. What is o?
-97, -7/3
Factor 5*q**2 + 25755*q - 206360.
5*(q - 8)*(q + 5159)
Let -4*j**4 + 332*j**3 - 264*j**2 - 5312*j + 5248 = 0. What is j?
-4, 1, 4, 82
Factor 4*w**5 - 170584*w**4 + 2424794688*w**3 - 11487060247040*w**2 - 22983821037568*w.
4*w*(w - 14216)**3*(w + 2)
Find y, given that -2*y**3/19 - 35900*y**2/19 - 143568*y/19 = 0.
-17946, -4, 0
Suppose -2*t**2/5 + 62444*t/5 - 62442/5 = 0. Calculate t.
1, 31221
Factor l**2/9 - 47*l - 243100/9.
(l - 748)*(l + 325)/9
Find d such that d**4 + 13648*d**3 - 95574*d**2 + 150200*d - 68275 = 0.
-13655, 1, 5
Find o, given that -144*o**5 - 294168*o**4 - 200344644*o**3 - 136534286710*o**2/3 - 135133148050*o/9 + 272669256500/9 = 0.
-4085/6, -1, 2/3
Find u such that 3*u**4 + 1760*u**3 + 18527*u**2 + 54770*u + 28800 = 0.
-576, -5, -2/3
Determine y, given that -3*y**2/7 + 283866*y/7 + 283869/7 = 0.
-1, 94623
Let -q**3/8 + 27169*q**2/8 + 13585*q/4 = 0. Calculate q.
-1, 0, 27170
Factor -4*d**4 + 79896*d**3 - 479280*d**2 + 958496*d - 638976.
-4*(d - 19968)*(d - 2)**3
Factor 3*z**2/4 + 1977975*z + 1304128366875.
3*(z + 1318650)**2/4
Factor 14*j**4/13 - 6660*j**3/13 + 791112*j**2/13 + 226576*j/13.
2*j*(j - 238)**2*(7*j + 2)/13
Factor -2*r**2 - 9536*r + 114720.
-2*(r - 12)*(r + 4780)
Suppose z**3 - 10047*z**2 + 20087*z + 30135 = 0. Calculate z.
-1, 3, 10045
Suppose -5*l**2 - 146495*l - 1318050 = 0. Calculate l.
-29290, -9
Find u such that 12*u**3/13 + 818*u**2/13 + 9452*u/13 - 10282/13 = 0.
-53, -97/6, 1
Suppose 2*s**3/3 - 292*s**2 + 7678*s/3 + 6292 = 0. Calculate s.
-2, 11, 429
Factor -4*s**3 - 475*s**2/2 + 303*s/2 + 90.
-(s - 1)*(s + 60)*(8*s + 3)/2
Find g such that 4*g**2/5 + 872*g - 732896/5 = 0.
-1238, 148
Factor 2*s**4/11 - 42854*s**3/11 + 42852*s**2/11.
2*s**2*(s - 21426)*(s - 1)/11
Suppose -6*c**4/17 + 116*c**3/17 - 166*c**2/17 - 1184*c/17 - 40 = 0. Calculate c.
-2, -2/3, 5, 17
Find n, given that n**3 - 1533*n**2 + 12200*n = 0.
0, 8, 1525
Factor -3*c**2 - 54*c + 14040.
-3*(c - 60)*(c + 78)
Let 2*p**5 - 50*p**4 - 348*p**3 - 728*p**2 - 496*p = 0. Calculate p.
-2, 0, 31
Suppose -4*n**2 - 1391352*n - 120991274244 = 0. Calculate n.
-173919
Solve -4*h**4/3 - 652*h**3/3 + 4456*h**2 + 61168*h/3 + 63712/3 = 0 for h.
-181, -2, 22
What is g in 2*g**2/7 + 1899680*g/7 + 451098012800/7 = 0?
-474920
Solve -3*d**5 + 126*d**4 + 1305*d**3 + 3624*d**2 + 2448*d = 0.
-4, -1, 0, 51
Suppose -412*r**5/5 + 3803*r**4/5 - 11977*r**3/5 + 13671*r**2/5 - 2511*r/5 - 54/5 = 0. What is r?
-2/103, 1/4, 3
Factor 4*q**4 + 368*q**3 + 2740*q**2 + 4392*q + 2016.
4*(q + 1)**2*(q + 6)*(q + 84)
Determine g, given that -2*g**4/15 - 328*g**3/15 - 1782*g**2/5 - 876*g = 0.
-146, -15, -3, 0
Suppose -2*a**4 - 262*a**3 + 9872*a**2 - 27752*a + 18144 = 0. What is a?
-162, 1, 2, 28
Factor -12*c**2/5 - 626313*c + 782892/5.
-3*(c + 260964)*(4*c - 1)/5
Suppose 5*w**5 + 2805*w**4 + 368555*w**3 - 7053045*w**2 + 6681680*w = 0. Calculate w.
-289, 0, 1, 16
Factor -2*p**4/3 + 38494*p**3/3 - 185242750*p**2/3 + 185204258*p/3.
-2*p*(p - 9623)**2*(p - 1)/3
What is i in i**3/9 + 37*i**2 - 3766*i/9 + 688 = 0?
-344, 2, 9
Find g such that -12*g**4 - 20624*g**3 - 9050724*g**2 - 161710800*g + 54910000 = 0.
-850, -19, 1/3
Suppose -4*k**4 - 518*k**3 - 5490*k**2 - 7336*k - 2360 = 0. What is k?
-118, -10, -1, -1/2
Find k, given that -4*k**4 + 7064*k**3 - 3118752*k**2 - 7064*k + 3118756 = 0.
-1, 1, 883
Factor 8*o**2 - 388*o + 4020.
4*(o - 15)*(2*o - 67)
Factor -g**5/6 + 3*g**4/2 + 27*g**3/2 - 243*g**2/2.
-g**2*(g - 9)**2*(g + 9)/6
Factor -b**2 + 87*b - 1022.
-(b - 73)*(b - 14)
Determine g, given that 3*g**2 - 86241*g - 172494 = 0.
-2, 28749
Factor x**2 + 183184*x + 8389094464.
(x + 91592)**2
Factor 3*h**5 - 495*h**4 + 18009*h**3 - 188853*h**2.
3*h**2*(h - 119)*(h - 23)**2
Let -3*g**3 + 2721*g**2 - 26985*g + 67275 = 0. What is g?
5, 897
Suppose 3*y**3 + 369*y**2 - 2298*y + 3096 = 0. What is y?
-129, 2, 4
Find q such that 2*q**2 + 54*q + 184 = 0.
-23, -4
Determine o, given that 12*o**5 - 9531*o**4 + 2520945*o**3 - 221419425*o**2 - 167486625*o = 0.
-3/4, 0, 265
Solve -3*i**5 + 5346*i**4 - 5334*i**3 - 16032*i**2 + 5337*i + 10686 = 0 for i.
-1, 1, 2, 1781
Let -2*a**4/11 + 1718*a**3/11 - 3420*a**2/11 - 6872*a/11 + 13712/11 = 0. Calculate a.
-2, 2, 857
Suppose 4*d**4 - 5576*d**3 - 4*d**2 + 5576*d = 0. What is d?
-1, 0, 1, 1394
Find z, given that -5*z**5 - 815*z**4 + 22470*z**3 - 190540*z**2 + 579800*z - 564000 = 0.
-188, 2, 3, 10
Suppose 154*d**3/5 + 782*d**2/5 - 820*d + 1104/5 = 0. What is d?
-92/11, 2/7, 3
Determine a so that -4*a**5/7 + 2078*a**4/7 - 45386*a**3/7 + 327634*a**2/7 - 796842*a/7 + 46008 = 0.
1/2, 4, 9, 497
Factor -20*y**2 - 7014*y + 2106.
-2*(y + 351)*(10*y - 3)
Suppose 2*o**2 + 11664*o + 23320 = 0. Calculate o.
-5830, -2
Suppose 407043*b**4 + 244986*b**3 + 45671*b**2 + 2060*b - 100 = 0. What is b?
-5/21, -2/13, 2/71
Factor d**2/4 + 17*d + 795/4.
(d + 15)*(d + 53)/4
Determine p, given that -p**5 - 363*p**4 + 9072*p**3 - 82728*p**2 + 333072*p - 501552 = 0.
-387, 6
Factor -3*d**4/5 + 16404*d**3/5 - 29893554*d**2/5 + 3629075268*d + 18175286301/5.
-3*(d - 1823)**3*(d + 1)/5
Factor x**5 - 29*x**4 + 230*x**3 - 352*x**2.
x**2*(x - 16)*(x - 11)*(x - 2)
Factor -h**3/5 - 36