810*i**2 - 71305*i + 53490 = 0. Calculate i.
-3566, 1, 3
Determine h so that 17*h**3/2 + 4965*h**2 + 725328*h + 85264 = 0.
-292, -2/17
Factor 3*g**2/5 - 16767*g/5.
3*g*(g - 5589)/5
Factor -o**2/3 - 14740*o.
-o*(o + 44220)/3
Factor 3*o**3/4 - 747*o**2/4 + 8451*o - 8265.
3*(o - 190)*(o - 58)*(o - 1)/4
Factor 3*k**3/5 - 44604*k**2/5.
3*k**2*(k - 14868)/5
Factor -3111*d**2/4 + 9345*d/4 - 9.
-3*(d - 3)*(1037*d - 4)/4
Let 361*p**4/4 + 66766*p**3 + 12341166*p**2 - 2600360*p + 136900 = 0. Calculate p.
-370, 2/19
Factor -a**3 - 14449*a**2/3 - 17400208*a/3 - 5798464/3.
-(a + 2408)**2*(3*a + 1)/3
Find v such that 403*v**3/7 + 4832*v**2/7 + 10833*v/7 - 108/7 = 0.
-9, -3, 4/403
What is s in -s**4 - 552*s**3 - 4914*s**2 - 14688*s - 14661 = 0?
-543, -3
Factor 22*m**2/9 + 4580*m/9 + 832/9.
2*(m + 208)*(11*m + 2)/9
Suppose k**2/5 - 35172*k/5 = 0. What is k?
0, 35172
Let x**5/3 + 11*x**4 - 213*x**3 + 3703*x**2/3 - 2910*x + 2400 = 0. Calculate x.
-48, 2, 3, 5
Factor -2*t**3 + 184*t**2 - 1474*t - 1660.
-2*(t - 83)*(t - 10)*(t + 1)
Find d such that -2*d**2/5 - 384*d - 1918/5 = 0.
-959, -1
Find x such that 2*x**4 - 130*x**3 - 6146*x**2 - 6014*x = 0.
-31, -1, 0, 97
Factor -2*k**2 + 57876*k - 418703922.
-2*(k - 14469)**2
Factor b**4 + 2250*b**3 - 12*b**2 - 26984*b + 36000.
(b - 2)**2*(b + 4)*(b + 2250)
Factor 3*b**3 + 1005*b**2 + 107601*b + 3730791.
3*(b + 89)**2*(b + 157)
Find l, given that -2*l**5/7 + 32*l**4/7 + 90*l**3/7 - 1640*l**2/7 - 6688*l/7 - 4992/7 = 0.
-4, -1, 12, 13
Let -2*q**2/19 + 596236*q/19 - 44437170962/19 = 0. Calculate q.
149059
Factor 5*p**2 - 24080*p + 24075.
5*(p - 4815)*(p - 1)
Factor -b**2/4 - 82489*b - 6804435121.
-(b + 164978)**2/4
Factor 40*h**2/7 - 982*h/7 - 2124/7.
2*(h + 2)*(20*h - 531)/7
Factor 4*d**3 - 71956*d**2 + 323640096*d - 323568144.
4*(d - 8994)**2*(d - 1)
What is j in -3*j**3/5 + 9594*j**2/5 - 76581*j/5 + 13398 = 0?
1, 7, 3190
Suppose -3*j**3/7 + 70866*j**2/7 + 70869*j/7 = 0. What is j?
-1, 0, 23623
Factor 5*w**3 - 16500*w**2 - 66060*w - 66080.
5*(w - 3304)*(w + 2)**2
Find f, given that f**2/3 - 2*f/3 = 0.
0, 2
Solve -y**2/4 + 665*y/4 + 17493/2 = 0 for y.
-49, 714
Determine m, given that -2*m**5/17 - 2*m**4 - 146*m**3/17 + 2*m**2/17 + 580*m/17 - 400/17 = 0.
-10, -5, -4, 1
Suppose -2*i**2/17 + 24114*i/17 - 216864/17 = 0. Calculate i.
9, 12048
Factor -6*k**3 + 135*k**2 + 4857*k + 2394.
-3*(k - 42)*(k + 19)*(2*k + 1)
Find n such that 6*n**2/5 + 5316*n + 26574/5 = 0.
-4429, -1
Factor 5*j**3 - 4015*j**2 - 4020*j.
5*j*(j - 804)*(j + 1)
Suppose 2*p**3 - 14174*p**2 - 2*p + 14174 = 0. What is p?
-1, 1, 7087
Suppose 2*x**5 - 636*x**4 - 2666*x**3 + 28980*x**2 = 0. Calculate x.
-9, 0, 5, 322
Let 8*f**3/9 + 151*f**2/9 + 37*f/3 - 30 = 0. What is f?
-18, -15/8, 1
Let j**5/7 + 2979*j**4/7 - 17897*j**3/7 + 38793*j**2/7 - 35816*j/7 + 11940/7 = 0. What is j?
-2985, 1, 2
Factor t**5/3 - 24*t**4 - 320*t**3 - 3968*t**2/3 - 1792*t.
t*(t - 84)*(t + 4)**3/3
Factor 32*b**3/7 - 1116*b**2/7 + 6772*b/7 + 864/7.
4*(b - 27)*(b - 8)*(8*b + 1)/7
Factor t**2 + 1532*t - 56448.
(t - 36)*(t + 1568)
Find d, given that 479*d**3/4 - 7665*d**2/2 - 176687*d/4 + 369/2 = 0.
-9, 2/479, 41
Suppose -j**2 + 816*j + 13312 = 0. What is j?
-16, 832
Factor x**4/7 - 67*x**3/7 - 360*x**2/7.
x**2*(x - 72)*(x + 5)/7
Suppose 13534*j**2 - 13318*j - 216 = 0. Calculate j.
-108/6767, 1
Factor 5*j**3 - 3410*j**2 - 20*j + 13640.
5*(j - 682)*(j - 2)*(j + 2)
Determine v, given that 3*v**2 - 1107*v + 7602 = 0.
7, 362
Factor -10*a**2/11 - 72*a/11 + 72.
-2*(a - 6)*(5*a + 66)/11
Let -4*l**2/3 + 920*l/3 - 6348 = 0. What is l?
23, 207
Suppose r**5/9 - 12*r**4 - 4*r**3/9 + 48*r**2 = 0. What is r?
-2, 0, 2, 108
Factor 3*q**3/2 - 15*q**2 + 48*q - 48.
3*(q - 4)**2*(q - 2)/2
Determine y so that 2*y**4/3 + 208*y**3/3 - 9840*y**2 + 331200*y - 3492000 = 0.
-194, 30
Determine b, given that -850*b**3 - 367*b**2 + 1193*b + 24 = 0.
-24/17, -1/50, 1
What is q in q**2/4 + 671*q/2 + 4017/4 = 0?
-1339, -3
Factor -2*z**4 - 42*z**3 + 720*z**2 - 2312*z + 2112.
-2*(z - 8)*(z - 2)**2*(z + 33)
Suppose -z**4/5 - 4*z**3 - 79*z**2/5 - 12*z = 0. What is z?
-15, -4, -1, 0
Factor 4*t**4 - 2664*t**3 + 545284*t**2 - 33875424*t + 646786624.
4*(t - 289)**2*(t - 44)**2
Factor -5*g**3 - 28740*g**2.
-5*g**2*(g + 5748)
Factor -k**2/4 - 128*k - 8103.
-(k + 74)*(k + 438)/4
Determine o, given that -4*o**3 + 27364*o**2 + 356464*o - 383824 = 0.
-14, 1, 6854
Solve -u**2/7 + 1077666*u/7 - 290341001889/7 = 0 for u.
538833
Solve -u**4/2 - 5*u**3 + 73*u**2/2 - 19*u - 60 = 0 for u.
-15, -1, 2, 4
Solve 2*x**2 + 847212*x + 89721021618 = 0 for x.
-211803
Solve 4*c**4/3 - 68*c**3/3 - 360*c**2 = 0 for c.
-10, 0, 27
Factor -n**3/3 + 13045*n**2/3 - 42536483*n/3 - 42549529/3.
-(n - 6523)**2*(n + 1)/3
Let 2*k**3 + 3390*k**2 + 86998*k + 350490 = 0. What is k?
-1669, -21, -5
Factor -100*x**3 + 664*x**2 + 252*x.
-4*x*(x - 7)*(25*x + 9)
Find f, given that 2*f**3 - 44214*f**2 - 88434*f - 44218 = 0.
-1, 22109
Factor f**5 + 47*f**4 - 72*f**3 - 3384*f**2 + 1296*f + 60912.
(f - 6)**2*(f + 6)**2*(f + 47)
Solve -3*n**3 - 187*n**2/4 - 379*n/4 - 53/2 = 0 for n.
-53/4, -2, -1/3
Factor 4*p**3/7 + 808*p**2/7 + 29500*p/7 + 55800/7.
4*(p + 2)*(p + 45)*(p + 155)/7
Let -2*g**4/7 - 7106*g**3/7 - 204502*g**2/7 - 387694*g/7 - 190296/7 = 0. What is g?
-3524, -27, -1
Let 2*n**2/5 + 496636*n/5 = 0. What is n?
-248318, 0
Solve 10*f**5 - 4*f**4 - 90*f**3 + 76*f**2 + 104*f - 48 = 0 for f.
-3, -1, 2/5, 2
Find h such that 4*h**5 - 48*h**4 - 1008*h**3 - 3328*h**2 - 3072*h = 0.
-8, -2, 0, 24
Solve -2*o**4 - 1132*o**3 + 16176*o**2 - 37376*o - 148480 = 0.
-580, -2, 8
Suppose -4*f**5 - 8236*f**4 - 4218824*f**3 + 21283936*f**2 - 8586240*f - 34080768 = 0. What is f?
-1032, -1, 2, 4
Factor -3*x**3 + 17760*x**2 + 517479*x + 499716.
-3*(x - 5949)*(x + 1)*(x + 28)
Factor 5*i**3 - 59725*i**2 + 59720*i.
5*i*(i - 11944)*(i - 1)
Factor -2*i**2 - 85068*i - 904570578.
-2*(i + 21267)**2
Suppose -2*n**4/15 - 44*n**3/5 + 2312*n**2/5 - 13468*n/15 + 2222/5 = 0. Calculate n.
-101, 1, 33
Factor -2*z**2/11 - 452*z + 4974/11.
-2*(z - 1)*(z + 2487)/11
Factor 45*n**3 + 5595*n**2 - 3745*n + 625.
5*(n + 125)*(3*n - 1)**2
Find b such that -74*b**4 + 185742*b**3/5 - 23124524*b**2/5 - 46867968*b/5 + 254016/5 = 0.
-2, 1/185, 252
Factor 3*w**3/5 - 708*w**2/5 - 3*w/5 + 708/5.
3*(w - 236)*(w - 1)*(w + 1)/5
What is r in -5*r**2 + 225*r + 25220 = 0?
-52, 97
Factor 4*y**2 - 138448*y - 138452.
4*(y - 34613)*(y + 1)
Solve -2*c**4/13 + 1220*c**3/13 + 3674*c**2/13 + 2452*c/13 = 0.
-2, -1, 0, 613
Let -2*f**2/9 + 1652524*f/9 - 341354446322/9 = 0. What is f?
413131
What is z in -2*z**4 + 44*z**3 + 4558*z**2 - 33216*z + 47880 = 0?
-42, 2, 5, 57
Factor -2*v**4/17 + 572*v**3/17.
-2*v**3*(v - 286)/17
Let c**4/5 - 86*c**3/5 + 1811*c**2/5 - 3286*c/5 = 0. What is c?
0, 2, 31, 53
Let 2*v**4/11 + 970*v**3/11 + 151302*v**2/11 + 6637582*v/11 - 149038816/11 = 0. Calculate v.
-167, 16
Solve -3*g**2 + 19410*g + 19413 = 0 for g.
-1, 6471
Factor d**3/6 - 9*d**2/2 + 31*d - 136/3.
(d - 17)*(d - 8)*(d - 2)/6
Solve -8*r**5/7 - 13064*r**4/7 + 52342*r**3/7 - 68736*r**2/7 + 29466*r/7 = 0.
-1637, 0, 1, 3/2
Determine w, given that -w**2/3 + 5009*w/3 = 0.
0, 5009
Suppose -2*y**2/9 + 15046*y/9 - 60152/9 = 0. Calculate y.
4, 7519
Factor -m**2/6 - 143*m/3 - 1428.
-(m + 34)*(m + 252)/6
Determine j so that 9*j**3 - 663*j**2 + 6135*j - 5481 = 0.
1, 29/3, 63
Find k such that k**4/9 + 46*k**3/3 + 1540*k**2/3 - 9658*k/9 + 1633/3 = 0.
-71, -69, 1
Let -3*x**4/4 - 63*x**3/2 - 417*x**2 - 1386*x + 4704 = 0. Calculate x.
-16, -14, 2
Solve -25*z**3 + 190*z**2 - 365*z + 200 = 0.
1, 8/5, 5
Determine c, given that -c**5/2 + 9*c**4/2 + 421*c**3/2 - 4209*c**2/2 + 1890*c = 0.
-21, 0, 1, 9, 20
Find n, given that -51*n**2/7 + 10041*n/7 = 0.
0, 3347/17
Solve -3*m**3/4 + 49973*m**2/2 - 208100065*m - 138744482 = 0 for m.
-2/3, 16658
Let -972*j**3 + 3186*j**2 - 3225*j + 1875/2 = 0. Calculate j.
1/2, 25/18
What is p in -p**3/4 + 1739*p**2/4 + p/4 - 1739/4 = 0?
-1, 1, 1739
Factor c**4 - 51*c**3 + 282*c**2 - 548*c + 360.
(c - 45)*(c - 2)**3
Solve -61*j**4/2 - 381*j**3/2 + 1061*j**2 - 840*j = 0 for j.
-10, 0, 1, 168/61
What is f in 2*f**4 - 1068*f**3 + 146768*f**2 - 1114068*f + 968366 = 0?
1, 7, 263
Let 2*z**5/5 + 464*z**4/5 + 32232*z**3/5 + 582624*z**2/5 = 0. Calculate z.
-102, -