1
Factor 3*g**4 + 1476159*g**3 + 242115662754*g**2 + 13236947513102580*g - 13237189630241496.
3*(g - 1)*(g + 164018)**3
Find n such that -5*n**2 + 22190*n + 1968375 = 0.
-87, 4525
Factor p**2 - 251*p - 6600.
(p - 275)*(p + 24)
What is z in z**2/5 + 22526*z + 634275845 = 0?
-56315
Factor x**2/6 + 15181*x/3.
x*(x + 30362)/6
Factor -5*s**3 + 5240*s**2 - 314555*s - 319800.
-5*(s - 984)*(s - 65)*(s + 1)
Factor 7*p**2/3 + 231457*p/3 + 66130/3.
(p + 33065)*(7*p + 2)/3
Determine z, given that -3*z**4 + 408*z**3 + 8073*z**2 + 37422*z = 0.
-9, 0, 154
Factor 5*q**3/6 - 30532*q**2/3 + 93049088*q/3 + 1045983232/3.
(q - 6112)**2*(5*q + 56)/6
Determine q, given that -3*q**2 - 21471*q + 733482 = 0.
-7191, 34
Factor -2*s**3/9 + 5602*s**2/9 + 5608*s/3.
-2*s*(s - 2804)*(s + 3)/9
Factor 3*k**3 - 273021*k**2 - 1365180*k.
3*k*(k - 91012)*(k + 5)
Factor -2*f**4 + 28284*f**3 + 56574*f**2 + 28288*f.
-2*f*(f - 14144)*(f + 1)**2
Factor -c**2/4 - 1173*c/2 - 2345/4.
-(c + 1)*(c + 2345)/4
Find k, given that -5*k**3 - 233948*k**2 - 2736536545*k + 1094652050 = 0.
-23395, 2/5
Find m, given that m**2/5 - 12554*m/5 - 37671/5 = 0.
-3, 12557
Let -a**5/2 + 57*a**4 - 2229*a**3/2 - 5158*a**2 - 5394*a = 0. Calculate a.
-2, 0, 31, 87
Find k, given that 3*k**4/5 + 4029*k**3/5 - 9*k**2/5 - 12081*k/5 + 8058/5 = 0.
-1343, -2, 1
Factor -2*v**3/3 - 188*v**2/3 + 71630*v/3 + 8241800/3.
-2*(v - 196)*(v + 145)**2/3
Let -2*f**2 + 702*f = 0. Calculate f.
0, 351
Factor 4*n**3 - 94048*n**2 - 752612*n - 658560.
4*(n - 23520)*(n + 1)*(n + 7)
Let -4*m**5/7 - 4*m**4/7 + 72*m**3/7 - 8*m**2 - 68*m/7 + 60/7 = 0. Calculate m.
-5, -1, 1, 3
Factor 5*w**4 + 345*w**3 + 3075*w**2 + 7375*w.
5*w*(w + 5)**2*(w + 59)
Factor -4*g**3 + 780*g**2 - 8672*g - 20496.
-4*(g - 183)*(g - 14)*(g + 2)
Factor g**2/4 - 18911*g/4 + 56715/2.
(g - 18905)*(g - 6)/4
Let 2*y**5/5 + 6*y**4 - 32*y**3/5 - 904*y**2/5 - 576*y/5 + 896 = 0. What is y?
-14, -4, 2, 5
Determine i, given that -i**4 + 1321*i**3 - 436920*i**2 + 435600*i = 0.
0, 1, 660
Let -676*l**5 - 180908*l**4 - 12068224*l**3 + 4762960*l**2 + 6337664*l + 1149184 = 0. Calculate l.
-134, -4/13, 1
What is b in -b**3/2 + 3152*b**2 - 4980136*b + 39639616 = 0?
8, 3148
Factor 5*t**2 + 3785*t + 3780.
5*(t + 1)*(t + 756)
Determine g, given that 2*g**2 + 2242*g + 2240 = 0.
-1120, -1
Factor -3*h**2 + 11032044*h - 10142166234828.
-3*(h - 1838674)**2
Factor 54*r**3/5 - 200016*r**2/5 + 266616*r/5 - 88864/5.
2*(3*r - 11108)*(3*r - 2)**2/5
Factor z**2 + 1443*z + 102600.
(z + 75)*(z + 1368)
Suppose -3*z**2 + 29598*z + 29601 = 0. What is z?
-1, 9867
Suppose -12*y**5 + 4725*y**4 - 21990*y**3 - 71145*y**2 - 16338*y = 0. Calculate y.
-2, -1/4, 0, 7, 389
Solve -2*j**4/9 - 1238*j**3/9 - 56600*j**2/3 + 6831656*j/9 - 29757280/9 = 0 for j.
-326, 5, 28
Determine d, given that 180*d**4 + 14037*d**3 + 53871*d**2 + 60360*d + 14652 = 0.
-74, -2, -33/20, -1/3
Factor 73*y**2 + 29*y - 44.
(y + 1)*(73*y - 44)
Determine a so that -4*a**4 + 192*a**3 + 3672*a**2 + 6752*a + 3276 = 0.
-13, -1, 63
Solve -2*h**2/13 + 210*h/13 + 1256 = 0.
-52, 157
Factor o**3/6 - 1891*o**2/6 + 21057*o/2 - 20427/2.
(o - 1857)*(o - 33)*(o - 1)/6
Factor -1120*b**2 + 15684*b - 56.
-4*(b - 14)*(280*b - 1)
Determine w so that 2*w**2 + 1024*w + 3054 = 0.
-509, -3
Factor 9*r**3/2 + 6*r**2 - 315*r/2 + 147.
3*(r - 1)*(r + 7)*(3*r - 14)/2
Factor 3*k**3 - 951*k**2 + 11814*k + 12768.
3*(k - 304)*(k - 14)*(k + 1)
Let -q**3/11 - 3738*q**2/11 + q/11 + 3738/11 = 0. Calculate q.
-3738, -1, 1
Factor 5*c**3 - 75*c**2 - 720*c + 10800.
5*(c - 15)*(c - 12)*(c + 12)
Determine u so that 2*u**4/15 - 178*u**3/5 + 2836*u**2 - 877448*u/15 + 55696 = 0.
1, 30, 118
Factor -33*f**2 - 44151*f + 4014.
-3*(f + 1338)*(11*f - 1)
Factor -4*n**2 - 49284*n - 197072.
-4*(n + 4)*(n + 12317)
Factor -5*l**2/3 + 196*l + 236/3.
-(l - 118)*(5*l + 2)/3
Let -2*k**2/9 + 16732*k/9 + 7440 = 0. What is k?
-4, 8370
Determine k, given that k**4/2 + 995*k**3/2 + 185747*k**2/2 - 374483*k/2 + 93870 = 0.
-745, -252, 1
Suppose 8*n**2/7 + 149382*n/7 - 37346/7 = 0. Calculate n.
-18673, 1/4
Factor 14*d**2/3 - 129994*d/3 + 12380.
2*(d - 9285)*(7*d - 2)/3
Factor -2*o**2/9 + 2954*o/9 + 2960/3.
-2*(o - 1480)*(o + 3)/9
Determine z so that -2*z**5/9 + 210*z**4 - 49924*z**3 + 146004*z**2 + 449334*z - 1331046 = 0.
-3, 3, 471
Factor 4*u**2 - 2952*u + 84960.
4*(u - 708)*(u - 30)
Factor 3*f**3 + 56919*f**2 + 269952585*f - 270009507.
3*(f - 1)*(f + 9487)**2
Determine p so that 24*p**4 - 783*p**3 + 7263*p**2 - 13365*p - 6075 = 0.
-3/8, 3, 15
Factor -3*n**3 + 1860*n**2 + 196239*n + 194376.
-3*(n - 712)*(n + 1)*(n + 91)
Solve 4*s**3 - 584*s**2 + 27940*s - 435600 = 0.
36, 55
Factor 2*t**4 + 278*t**3 + 6588*t**2 - 249912*t - 1679184.
2*(t - 23)*(t + 6)*(t + 78)**2
Factor o**2/2 + 77214*o + 2981000898.
(o + 77214)**2/2
Let -o**2/4 - 63*o/2 + 655/4 = 0. Calculate o.
-131, 5
Let -4*s**4/3 - 8908*s**3/3 - 70988*s**2/3 + 44716*s/3 + 248528 = 0. What is s?
-2219, -7, -4, 3
Factor -x**3/3 + 193*x**2/3 - 9083*x/3 + 125891/3.
-(x - 131)*(x - 31)**2/3
Factor 5*m**2 + 416290*m + 8664868205.
5*(m + 41629)**2
Determine j, given that -10*j**5/9 + 268*j**4/9 - 146*j**3/9 - 1600*j**2/9 - 104*j/3 = 0.
-2, -1/5, 0, 3, 26
Find m such that m**5/5 + 9*m**4 + 617*m**3/5 + 1559*m**2/5 - 15198*m/5 - 16184/5 = 0.
-17, -14, -1, 4
Factor 5*z**3 + 2075*z**2 + 61280*z.
5*z*(z + 32)*(z + 383)
Factor 2*v**3 - 2292*v**2 - 182856*v - 3529136.
2*(v - 1222)*(v + 38)**2
Factor 2*t**3 + 122*t**2 + 1864*t + 3256.
2*(t + 2)*(t + 22)*(t + 37)
Factor y**4 - 659*y**3 + 1968*y**2.
y**2*(y - 656)*(y - 3)
Factor d**2/5 + 33*d + 954/5.
(d + 6)*(d + 159)/5
Factor -3*i**2 - 1584*i - 75525.
-3*(i + 53)*(i + 475)
Determine l, given that 4*l**5 + 300*l**4 + 508*l**3 - 5628*l**2 - 5840*l = 0.
-73, -5, -1, 0, 4
Factor -v**2 - 122598*v.
-v*(v + 122598)
Suppose 39*z**3/2 + 13011*z**2/4 - 28869*z/4 + 2535/2 = 0. What is z?
-169, 5/26, 2
Let -2*c**3/3 - 2848*c**2/3 - 58966*c/3 - 56120/3 = 0. What is c?
-1403, -20, -1
Determine z, given that -2*z**4/7 + 6*z**3/7 + 236*z**2/7 + 936*z/7 + 144 = 0.
-6, -3, -2, 14
Determine z, given that -2*z**5 - 32*z**4 + 158*z**3 + 812*z**2 - 600*z - 2736 = 0.
-19, -3, -2, 2, 6
Determine j so that j**2 - 206*j + 5425 = 0.
31, 175
What is g in -2*g**4 + 52*g**3 - 408*g**2 + 748*g + 1210 = 0?
-1, 5, 11
Let 4*u**2 - 38024*u - 1106060 = 0. What is u?
-29, 9535
Suppose -3*o**2/4 + 236925*o - 18711151875 = 0. What is o?
157950
Find t, given that -t**3 - 729*t**2 + 13210*t + 393888 = 0.
-746, -16, 33
Find x, given that -4*x**4 - 960*x**3 - 11124*x**2 - 41240*x - 45600 = 0.
-228, -5, -2
Factor u**4 + 43700*u**3/11.
u**3*(11*u + 43700)/11
Suppose 2*h**3/9 + 4810*h**2/9 + 4804*h/3 = 0. Calculate h.
-2402, -3, 0
Factor 7442*k**3/3 + 47824*k**2/3 + 19370*k/3 + 676.
2*(k + 6)*(61*k + 13)**2/3
Suppose s**3/4 - 356*s**2 + 21101*s/4 + 23953/2 = 0. What is s?
-2, 17, 1409
Determine d so that -3*d**2/5 - 37218*d/5 - 115431627/5 = 0.
-6203
Determine t so that 3*t**3 - 1281*t**2 + 138648*t - 404496 = 0.
3, 212
Suppose -5*v**3 - 3075*v**2 - 432000*v - 17617500 = 0. What is v?
-435, -90
Determine k so that -k**5/6 + 278*k**4/3 - 79465*k**3/6 + 301649*k**2/3 - 173990*k/3 - 1876900/3 = 0.
-2, 5, 274
Factor b**2/4 - 4901*b/4 - 44271/2.
(b - 4919)*(b + 18)/4
Determine a, given that 3*a**3/5 - 513*a**2 + 52602*a/5 - 10008 = 0.
1, 20, 834
Find m such that -2*m**2 + 11582*m + 46360 = 0.
-4, 5795
Let 2*i**4 + 2314*i**3 + 582210*i**2 - 52027762*i - 52607660 = 0. What is i?
-613, -1, 70
Factor 5*n**3/4 - 2014*n**2 - 1612*n.
n*(n - 1612)*(5*n + 4)/4
Factor u**2/9 + 242140*u/3 + 14657944900.
(u + 363210)**2/9
Factor f**5/4 + 39*f**4 + 219*f**3 - 1787*f**2/2 + 3891*f/4 - 675/2.
(f - 1)**3*(f + 9)*(f + 150)/4
What is q in 4*q**2 - 660*q + 15776 = 0?
29, 136
Suppose 4*y**3 + 560*y**2 + 11268*y + 58968 = 0. Calculate y.
-117, -14, -9
Factor -n**2/4 + 18666*n - 348419556.
-(n - 37332)**2/4
Factor 2*i**3 + 3314*i**2 + 1174390*i - 169972202.
2*(i - 109)*(i + 883)**2
What is u in 3*u**3 - 14616*u**2 - 58512*u = 0?
-4, 0, 4876
Determine o, given that -o**3/3 + 34933*o**2/3 + 69869*o/3 + 11645 = 0.
-1, 34935
Factor -7*s**3/4 + 356*s**2 - 70555*s/4 - 95481/2.
-(s - 103)**2*(7*s + 18)/4
Let w**2/3 - 1406*w + 4217/3 = 0. Calculate w.
1, 4217
Solve 3*t**3 - 117237*t**2 + 1145200305*t