2/3 + 33*c + 1134 = 0. Calculate c.
-27, 126
Factor -k**2 + 165878*k - 6878877721.
-(k - 82939)**2
Solve -5*j**2 + 1010410*j - 51046418405 = 0.
101041
Factor q**2 + 5419*q - 21692.
(q - 4)*(q + 5423)
Let w**2/6 - 854*w/3 + 5097/2 = 0. What is w?
9, 1699
Suppose -27*x**3 - 33*x**2 + 156*x + 36 = 0. What is x?
-3, -2/9, 2
Suppose -6*g**3/7 - 1070*g**2 + 6088*g - 25080/7 = 0. What is g?
-1254, 2/3, 5
What is o in -5*o**3 + 15*o**2 + 440*o = 0?
-8, 0, 11
Factor -2*q**2/13 + 1088*q/13 + 160930/13.
-2*(q - 665)*(q + 121)/13
Let -2*v**4/13 + 30*v**3/13 + 3222*v**2/13 - 67454*v/13 - 70644/13 = 0. What is v?
-42, -1, 29
Find s, given that -s**2/3 + 248176*s/3 + 248177/3 = 0.
-1, 248177
Factor 3*c**3 - 165*c**2 + 834*c + 18768.
3*(c - 46)*(c - 17)*(c + 8)
Find i such that 3*i**2 - 1983*i + 72774 = 0.
39, 622
Factor -5*g**3 + 35520*g**2 - 63047985*g - 126238090.
-5*(g - 3553)**2*(g + 2)
Find g, given that 2*g**3/7 + 28594*g**2/7 - 40870*g + 715350/7 = 0.
-14307, 5
Solve -3*y**4 + 225*y**3 - 4536*y**2 + 11664*y = 0 for y.
0, 3, 36
Let 10*m**4/19 + 308*m**3/19 - 3662*m**2/19 + 720*m/19 = 0. Calculate m.
-40, 0, 1/5, 9
Factor -k**3 + 382*k**2 - 760*k.
-k*(k - 380)*(k - 2)
Factor -s**3/2 + 1647*s**2/2 - 340308*s + 1013526.
-(s - 822)**2*(s - 3)/2
Factor -729*m**4 + 3456*m**3 - 4096*m**2.
-m**2*(27*m - 64)**2
Factor 2*n**2/7 + 24*n/7 - 25016/7.
2*(n - 106)*(n + 118)/7
Factor -2*n**2/11 + 376*n/11 + 1146/11.
-2*(n - 191)*(n + 3)/11
Suppose 26*y**2 + 58*y - 60 = 0. Calculate y.
-3, 10/13
Suppose -5*q**5/9 - 5266*q**4/3 - 24190*q**3/3 - 15724*q**2/9 + 53629*q/3 - 6310 = 0. What is q?
-3155, -3, 2/5, 1
Suppose -4*o**3/7 + 1544*o**2/7 - 192128*o/7 + 7578112/7 = 0. What is o?
82, 152
Solve -5*b**5 + 1375*b**4 + 25*b**3 - 6875*b**2 - 20*b + 5500 = 0.
-2, -1, 1, 2, 275
Factor m**4 + 94*m**3 + 1120*m**2.
m**2*(m + 14)*(m + 80)
Factor -4*j**4 + 592*j**3 - 28248*j**2 + 469456*j - 2515396.
-4*(j - 61)**2*(j - 13)**2
Find n such that -13*n**3 - 127*n**2 - 87*n + 27 = 0.
-9, -1, 3/13
Factor 3*z**3 - 90*z**2 - 675*z + 5250.
3*(z - 35)*(z - 5)*(z + 10)
What is r in r**2 + 1759*r - 8820 = 0?
-1764, 5
Factor -3*a**4 - 6810*a**3 - 3871479*a**2 - 7722540*a - 3857868.
-3*(a + 1)**2*(a + 1134)**2
Determine t, given that -2*t**4 + 14*t**3 + 24*t**2 - 352*t + 640 = 0.
-5, 4
Factor f**4 + 66*f**3 - 1807*f**2 + 1740*f.
f*(f - 20)*(f - 1)*(f + 87)
Factor -p**5/10 - 57*p**4/10 + 29*p**3/5.
-p**3*(p - 1)*(p + 58)/10
Solve m**2/5 - 96*m/5 + 1079/5 = 0 for m.
13, 83
Let -2*o**3/5 - 30*o**2 - 2652*o/5 + 1184 = 0. Calculate o.
-40, -37, 2
Suppose -2*p**3 + 77294*p**2 - 746602032*p - 3734942760 = 0. What is p?
-5, 19326
Determine f so that -4*f**5 - 4*f**4 + 8460*f**3 - 65852*f**2 + 57400*f = 0.
-50, 0, 1, 7, 41
Solve s**2/2 - 66*s + 875/2 = 0.
7, 125
Solve -2*y**2/5 + 9034*y/5 = 0 for y.
0, 4517
Factor -t**4 - 193*t**3 + 14534*t**2 - 242940*t + 228600.
-(t - 30)**2*(t - 1)*(t + 254)
Solve 5*w**5 + 210*w**4 + 585*w**3 - 43940*w**2 - 131820*w = 0 for w.
-26, -3, 0, 13
Solve -y**2 - 786*y + 3160 = 0 for y.
-790, 4
Suppose -10*y**4 + 170992*y**3 + 1539042*y**2/5 + 164168*y + 136808/5 = 0. Calculate y.
-1, -2/5, 17101
Let 2*x**3/11 - 490*x**2/11 + 3356*x/11 - 5712/11 = 0. Calculate x.
3, 4, 238
What is x in -4*x**3 + 400*x**2 + 412*x - 808 = 0?
-2, 1, 101
Solve -z**3 + 5016*z**2 + 10044*z - 40144 = 0 for z.
-4, 2, 5018
Suppose -3*w**2 - 810*w + 85293 = 0. Calculate w.
-351, 81
Find j such that 4*j**3 + 364*j**2 + 6684*j + 16884 = 0.
-67, -21, -3
Factor 2*o**2/9 - 46*o/3 + 252.
2*(o - 42)*(o - 27)/9
Determine j, given that -169*j**2 - 493*j + 42 = 0.
-3, 14/169
Factor 2*v**3 + 26*v**2 - 354*v - 378.
2*(v - 9)*(v + 1)*(v + 21)
Factor -4*z**3 + 500*z**2.
-4*z**2*(z - 125)
Solve 2*k**2 - 230976*k + 6668739072 = 0.
57744
Suppose 53*s**5/3 + 70*s**4 - 1598*s**3/3 - 3544*s**2/3 - 573*s + 70/3 = 0. What is s?
-7, -1, 2/53, 5
Determine i so that -12*i**5 + 12140*i**4 - 3080504*i**3 + 5104536*i**2 - 1016060*i - 1020100 = 0.
-1/3, 1, 505
Solve -p**4/2 + 41*p**3 - 1185*p**2/2 - 11086*p + 11638 = 0.
-11, 1, 46
Find p such that -2*p**2/7 + 318*p/7 - 5560/7 = 0.
20, 139
Factor -2*x**2/5 + 3216*x/5 - 240248.
-2*(x - 1018)*(x - 590)/5
Factor -s**3/2 + 109*s**2 - 4270*s - 193492.
-(s - 122)**2*(s + 26)/2
Let 3*o**3 - 702*o**2 - 723*o + 4230 = 0. What is o?
-3, 2, 235
Factor y**2 + 417618*y.
y*(y + 417618)
What is v in v**2/3 + 3208*v/3 - 12880 = 0?
-3220, 12
Find q, given that -q**3/4 - 1725*q**2/4 - 6019*q/2 - 5154 = 0.
-1718, -4, -3
Solve -2*g**5/17 - 130*g**4/17 + 1334*g**3/17 + 130*g**2/17 - 1332*g/17 = 0 for g.
-74, -1, 0, 1, 9
Determine u so that u**4/5 + 93602*u**3/5 - 93603*u**2/5 = 0.
-93603, 0, 1
Determine f so that -2*f**2 - 1756*f + 221760 = 0.
-990, 112
Solve 3*a**2 + 2286*a - 2289 = 0 for a.
-763, 1
Factor 3*q**3/5 + 379967*q**2/5 + 12031180096*q/5 - 4010435584/5.
(q + 63328)**2*(3*q - 1)/5
Solve 4*w**3 + 3531884*w**2 + 779636020896*w - 779639552784 = 0.
-441486, 1
Find y such that -15*y**3 + 1214*y**2 + 3840*y + 2016 = 0.
-12/5, -2/3, 84
Find u such that -363*u**4 - 8382*u**3 + 8604*u**2 + 16632*u + 5184 = 0.
-24, -6/11, 2
Let -3*r**4/7 - 1080*r**3/7 - 3219*r**2/7 - 306*r = 0. Calculate r.
-357, -2, -1, 0
Factor a**3/3 - 934*a**2/3 + 15571*a/3 + 5502.
(a - 917)*(a - 18)*(a + 1)/3
Factor -5*t**3 - 190*t**2 + 2605*t - 4410.
-5*(t - 9)*(t - 2)*(t + 49)
Let 2*v**2/5 + 1462*v/5 - 2932/5 = 0. Calculate v.
-733, 2
Find o such that -108*o**3 + 524*o**2 + 204*o - 620 = 0.
-31/27, 1, 5
Factor -16*m**3 + 108764*m**2 - 184824024*m - 46212804.
-4*(m - 3399)**2*(4*m + 1)
Factor -4*i**2 - 5898544*i - 2174551332496.
-4*(i + 737318)**2
Solve -q**4/4 - 8491*q**3/4 + 33975*q**2/4 - 42473*q/4 + 8495/2 = 0 for q.
-8495, 1, 2
Find j such that 2*j**4 + 594*j**3 - 42498*j**2 + 122094*j = 0.
-357, 0, 3, 57
Find u, given that -2*u**4 - 104*u**3 - 476*u**2 - 264*u + 846 = 0.
-47, -3, 1
Let -5*u**2/2 - 486540*u - 973075/2 = 0. Calculate u.
-194615, -1
Suppose 2*y**5/3 + 238*y**4/3 + 452*y**3/3 - 636*y**2 - 1410*y - 702 = 0. What is y?
-117, -3, -1, 3
Factor y**5/2 - 67*y**4/2 + 748*y**3 - 5566*y**2.
y**2*(y - 23)*(y - 22)**2/2
Determine u, given that -u**2 + 137968*u = 0.
0, 137968
Find n such that -2*n**5/7 + 34*n**4/7 - 78*n**3/7 - 754*n**2/7 + 3200*n/7 - 2400/7 = 0.
-5, 1, 4, 5, 12
Let f**2/3 + 47530*f/3 = 0. Calculate f.
-47530, 0
Factor 2*i**2 + 234*i - 23660.
2*(i - 65)*(i + 182)
Solve -21*w**3 + 138*w**2 - 216*w = 0 for w.
0, 18/7, 4
Factor 27840722*a**2 + 1134224*a + 11552.
2*(3731*a + 76)**2
Solve -2*n**5 - 33*n**4 + 1174*n**3 - 561*n**2 - 578*n = 0.
-34, -1/2, 0, 1, 17
Solve 3*t**3 - 108*t**2 + 567*t - 810 = 0 for t.
3, 30
Find q such that 2*q**4/13 - 670*q**3/13 + 68348*q**2/13 - 1892736*q/13 - 4064256/13 = 0.
-2, 49, 144
Factor 4*p**3 + 1120*p**2 - 4*p - 1120.
4*(p - 1)*(p + 1)*(p + 280)
Let 2*h**4/5 - 13982*h**3/5 - 26*h**2/5 + 36358*h - 167784/5 = 0. What is h?
-4, 1, 3, 6991
Suppose k**5 - 58*k**4 - 573*k**3 - 1966*k**2 - 2924*k - 1608 = 0. Calculate k.
-3, -2, 67
Determine w, given that 2*w**5/5 + 44*w**4/5 + 182*w**3/5 - 1684*w**2/5 - 13504*w/5 - 4928 = 0.
-11, -10, -4, 7
Factor 3*x**2 + 219*x - 8484.
3*(x - 28)*(x + 101)
Find t, given that 8*t**4 + 516*t**3 + 8136*t**2 + 17716*t + 6888 = 0.
-41, -21, -2, -1/2
Suppose -4*f**4 + 2976*f**3 - 14772*f**2 - 6008*f + 70944 = 0. Calculate f.
-2, 3, 4, 739
Determine r so that 2*r**2/9 - 18632*r/9 + 43393928/9 = 0.
4658
Suppose 3*t**5/8 - 927*t**4/8 + 1377*t**3/4 = 0. Calculate t.
0, 3, 306
Determine w so that 36*w**4 - 688*w**3 + 2132*w**2 + 11176*w + 7744 = 0.
-2, -8/9, 11
Let -2*f**2/5 - 576*f/5 - 896 = 0. Calculate f.
-280, -8
Solve 4*p**3 - 980*p**2 - 44000*p - 456000 = 0.
-20, 285
Determine q, given that -11236*q**2 - 16997312*q - 6428190976 = 0.
-40088/53
Determine h, given that h**5 - 94*h**4/3 + 934*h**3/3 - 2960*h**2/3 + 1079*h/3 + 1690 = 0.
-1, 3, 10/3, 13
Factor 3*y**3 - 156*y**2 + 1152*y + 20736.
3*(y - 36)*(y - 24)*(y + 8)
Factor -3*u**2 - 13980*u + 1471767.
-3*(u - 103)*(u + 4763)
Suppose 3*j**2/2 - 183*j/2 + 1161 = 0. What is j?
18, 43
Factor y**2/2 + 49*y + 1088.
(y + 34)*(y + 64)/2
Find r such that 2*r**5/5 - 52*r**4/5 + 352*r**3/5 + 256*r**2/5 - 6144*r/5 + 9216/5 = 0.
-4, 2, 4, 12
Determine a so that 5*a**2 - 816500*a = 0.
0, 163300
Factor f**2 