**3 - 412*w**2 - 76139*w - 2973582 = 0.
-73, 558
Let b**3/3 + 2*b**2/3 - 56*b/3 - 64 = 0. Calculate b.
-6, -4, 8
Solve 70*k**2/3 + 12245*k/3 - 875/3 = 0 for k.
-175, 1/14
Determine n, given that -12*n**2 + 21*n + 6 = 0.
-1/4, 2
Suppose -2*w**3 - 2288*w**2 + 41670*w - 188244 = 0. Calculate w.
-1162, 9
Factor -v**2/3 + 2581*v - 7742/3.
-(v - 7742)*(v - 1)/3
Factor 5*y**2 - 39435*y + 157660.
5*(y - 7883)*(y - 4)
What is z in -4*z**3/7 - 6896*z**2/7 - 426560*z - 11833600/7 = 0?
-860, -4
Factor -3*y**2/7 + 1686*y/7 + 6792/7.
-3*(y - 566)*(y + 4)/7
Find y, given that -3*y**5/5 - 135*y**4 - 267*y**3 + 135*y**2 + 1338*y/5 = 0.
-223, -2, -1, 0, 1
Let -3*f**4 - 828*f**3 - 6432*f**2 = 0. Calculate f.
-268, -8, 0
Suppose 5*d**2 - 5245750*d + 1375894653125 = 0. What is d?
524575
Factor -3*n**2/8 + 422433*n/2 - 59483213163/2.
-3*(n - 281622)**2/8
Suppose k**2/7 - 1145*k/7 - 34046/7 = 0. Calculate k.
-29, 1174
Factor -4*t**2 + 10308*t - 71960.
-4*(t - 2570)*(t - 7)
Find f such that -9*f**3 + 361605*f**2 + 241077*f - 120537 = 0.
-1, 1/3, 40179
Factor 5*g**2 - 41030*g + 82040.
5*(g - 8204)*(g - 2)
Factor 2*r**2/3 - 96*r + 3432.
2*(r - 78)*(r - 66)/3
Determine c, given that -2*c**5 - 46*c**4 + 938*c**3 - 3626*c**2 = 0.
-37, 0, 7
Find x, given that -5776*x**5 - 21584*x**4 - 17124*x**3 + 5680*x**2 - 400*x = 0.
-2, 0, 5/38
Let r**4 + 239*r**3/4 + 2745*r**2/4 - 24651*r/4 + 42471/4 = 0. Calculate r.
-33, 3, 13/4
Find h such that -3*h**5/2 - 6630*h**4 - 7332777*h**3 - 14645670*h**2 - 14639043*h/2 = 0.
-2209, -1, 0
Suppose 12*g**3 - 2396*g**2 - 3232*g + 3216 = 0. What is g?
-2, 2/3, 201
Factor 3*t**5 - 963*t**4 + 67320*t**3 + 1647300*t**2.
3*t**2*(t - 170)**2*(t + 19)
What is w in -2*w**2 - 3284*w + 16470 = 0?
-1647, 5
Suppose -2*m**2 - 1542178*m = 0. Calculate m.
-771089, 0
Factor 2*m**3 - 1256*m**2 - 12742*m - 11484.
2*(m - 638)*(m + 1)*(m + 9)
Solve -v**2/4 - 4493*v/4 = 0.
-4493, 0
Factor 2*k**2/5 + 278*k - 164388/5.
2*(k - 103)*(k + 798)/5
Factor -h**3 + 14283*h**2 - 85671*h + 128493.
-(h - 14277)*(h - 3)**2
Factor 2*p**3/5 + 748*p**2/5 + 28466*p/5.
2*p*(p + 43)*(p + 331)/5
Factor -18*i**3/7 - 8*i**2/7 + 8*i.
-2*i*(i + 2)*(9*i - 14)/7
Let 2*k**4/3 - 3398*k**3/3 + 1451770*k**2/3 - 7194418*k/3 + 2869636 = 0. What is k?
2, 3, 847
Factor 4*a**2 - 268*a + 3264.
4*(a - 51)*(a - 16)
What is v in -2*v**2 - 121236*v - 121234 = 0?
-60617, -1
Factor -5*k**2 - 10925*k.
-5*k*(k + 2185)
Factor -9*l**3/2 - 167*l**2/2 - 43*l + 36.
-(l + 1)*(l + 18)*(9*l - 4)/2
Solve -g**4/4 - 4683*g**3/2 + 18743*g**2/4 + 16395*g + 9368 = 0 for g.
-9368, -1, 4
Suppose -d**2 - 108586*d - 108585 = 0. What is d?
-108585, -1
Let -3*d**2 - 2457870*d - 503427078075 = 0. Calculate d.
-409645
What is a in -a**2/11 + 3*a + 2278/11 = 0?
-34, 67
Let 3*z**5/5 - 258*z**4/5 + 6903*z**3/5 - 75108*z**2/5 + 62652*z - 48960 = 0. What is z?
1, 10, 17, 48
Let 3*y**3/7 - 144534*y**2/7 + 578100*y/7 - 82584 = 0. What is y?
2, 48174
Factor -2*q**2/7 - 8958*q/7 + 1280.
-2*(q - 1)*(q + 4480)/7
Suppose q**3/4 + 353*q**2/4 - 1433*q/4 - 1785/4 = 0. What is q?
-357, -1, 5
Suppose -x**2/6 - 4*x/3 + 78 = 0. Calculate x.
-26, 18
Factor 55*o**2 - 685*o - 390.
5*(o - 13)*(11*o + 6)
Factor f**2/7 - 188134*f/7 + 8848600489/7.
(f - 94067)**2/7
Factor 27*n**4 - 7206*n**3 + 1585789*n**2/3 - 19134332*n/3 + 63457156/3.
(n - 7)**2*(9*n - 1138)**2/3
Determine i so that -2*i**4/13 + 45588*i**3/13 - 592402*i**2/13 + 2187048*i/13 - 1640232/13 = 0.
1, 6, 22781
What is f in -2*f**3/5 - 65430*f**2 - 13378226736*f/5 + 13378553888/5 = 0?
-81788, 1
Suppose 68066*g**2/19 - 884854*g/19 - 52/19 = 0. What is g?
-2/34033, 13
Find q, given that 114*q**3 + 4101*q**2/4 + 9093*q/4 - 15 = 0.
-5, -4, 1/152
Factor 4*p**2 - 198716*p - 397448.
4*(p - 49681)*(p + 2)
Solve 2*g**5/5 + 2752*g**4/5 + 137898*g**3/5 + 267548*g**2/5 + 26480*g = 0 for g.
-1324, -50, -1, 0
Let -3*m**4/2 + 837*m**3 + 11853*m**2/2 + 3408*m - 10170 = 0. Calculate m.
-6, -2, 1, 565
Find h such that -4*h**5/7 - 190*h**4/7 - 270*h**3 - 3040*h**2/7 + 9704*h/7 + 11040/7 = 0.
-69/2, -10, -4, -1, 2
Find z, given that -2*z**2/13 + 7544764*z/13 - 7115432976962/13 = 0.
1886191
Let 59*t**5/3 - 53*t**4/3 - 59*t**3/3 + 53*t**2/3 = 0. Calculate t.
-1, 0, 53/59, 1
Determine n, given that -2*n**2 + 858100*n - 92041951250 = 0.
214525
Factor 10*k**2/9 - 9856*k/9 - 3944/9.
2*(k - 986)*(5*k + 2)/9
Factor -71*r**2/6 - 337*r/6 - 133/3.
-(r + 1)*(71*r + 266)/6
Let -p**3/6 + 743*p**2/6 - 183883*p/6 + 5053047/2 = 0. Calculate p.
241, 261
Factor n**3/3 - 27*n**2/2 + 37*n/6 + 20.
(n - 40)*(n + 1)*(2*n - 3)/6
Factor -4*f**2/9 - 59348*f/9 + 118712/9.
-4*(f - 2)*(f + 14839)/9
Solve -n**4/3 - 230*n**3 - 3427*n**2/3 - 454*n + 5480/3 = 0.
-685, -4, -2, 1
Determine d, given that 2*d**2/7 + 1117660*d/7 + 156145484450/7 = 0.
-279415
Factor i**2/6 + 1468*i/3 + 17400.
(i + 36)*(i + 2900)/6
Factor 2*w**3/9 + 230*w**2/3 + 2544*w + 22248.
2*(w + 18)**2*(w + 309)/9
Factor -2305*q**2 + 112950*q - 245.
-5*(q - 49)*(461*q - 1)
Determine f so that -5*f**3 - 215*f**2 + 11960*f - 44080 = 0.
-76, 4, 29
Factor -2*n**2/7 + 3068496*n/7 - 1176958462752/7.
-2*(n - 767124)**2/7
Find q such that -2*q**2 + 44754*q + 44756 = 0.
-1, 22378
Factor 4*g**2 - 300*g + 5576.
4*(g - 41)*(g - 34)
Factor -1866*w**2/7 - 1162516*w/7 + 178.
-2*(w + 623)*(933*w - 1)/7
Factor a**4 - 22279*a**3 + 124077318*a**2 + 124144160*a - 248199200.
(a - 11140)**2*(a - 1)*(a + 2)
Determine b, given that -b**2 + 567999*b - 567998 = 0.
1, 567998
Factor 1071*y**3/2 + 15531*y**2 + 87*y/2.
3*y*(y + 29)*(357*y + 1)/2
Find r, given that -5*r**2 - 155*r + 224580 = 0.
-228, 197
Let -5*t**2 + 10765*t + 394020 = 0. What is t?
-36, 2189
Determine x so that 2*x**2/11 + 9116*x/11 + 90960/11 = 0.
-4548, -10
Factor -n**2 + 416*n + 4260.
-(n - 426)*(n + 10)
Factor 3066*z**3 - 91984*z**2 + 120*z.
2*z*(z - 30)*(1533*z - 2)
Find w, given that -204*w**4/11 + 4138*w**3/11 - 11568*w**2/11 + 3038*w/11 - 204/11 = 0.
2/17, 1/6, 3, 17
Factor 20*p**3 + 3880*p**2 + 3865*p + 965.
5*(p + 193)*(2*p + 1)**2
Factor -5*z**2 - 4793360*z - 1148815004480.
-5*(z + 479336)**2
Find z such that -z**2/5 + 676*z/5 - 27808/5 = 0.
44, 632
Factor 4*u**2 - 4076*u + 838552.
4*(u - 733)*(u - 286)
Factor -5*a**4 - 270*a**3 + 3705*a**2 + 8450*a.
-5*a*(a - 13)*(a + 2)*(a + 65)
Determine w so that -639*w**4 + 6711*w**3 - 19221*w**2 + 8385*w - 900 = 0.
12/71, 1/3, 5
Find b, given that -35*b**3 + 3235*b**2 + 5150*b + 1880 = 0.
-1, -4/7, 94
Factor -3*p**2/7 - 32118*p/7 - 85963827/7.
-3*(p + 5353)**2/7
Find p such that p**5/2 - 117*p**4/2 + 2959*p**3/2 + 29025*p**2/2 - 33232*p + 17298 = 0.
-9, 1, 62
Factor 5*m**2 + 585*m + 4860.
5*(m + 9)*(m + 108)
Suppose 14*r**4 - 514*r**3 + 4690*r**2 - 15350*r + 15000 = 0. What is r?
12/7, 5, 25
Suppose -3*o**4/4 - 69*o**3/2 - 765*o**2/4 + 1053*o/2 = 0. What is o?
-39, -9, 0, 2
Factor 4*w**2 - 266548*w - 266552.
4*(w - 66638)*(w + 1)
Let 2*i**4 + 5665*i**3 + 8494*i**2 + 2831*i = 0. Calculate i.
-2831, -1, -1/2, 0
Find b, given that -4*b**3/9 + 28*b**2/9 + 4868*b/9 + 1612/3 = 0.
-31, -1, 39
Factor 215*l**3 + 9530*l**2 + 107140*l + 33880.
5*(l + 22)**2*(43*l + 14)
Factor 2*u**3/15 + 196*u**2/15 - 416*u/15 - 320/3.
2*(u - 4)*(u + 2)*(u + 100)/15
Factor 3*b**3/8 - 6231*b**2/4 + 62085*b/2 - 155025.
3*(b - 4134)*(b - 10)**2/8
Solve 4*j**5 + 968*j**4 + 2768*j**3 - 23816*j**2 + 20076*j = 0 for j.
-239, -7, 0, 1, 3
Let 6*c**5/5 - 134*c**4/5 + 742*c**3/5 - 1226*c**2/5 - 108*c/5 + 144 = 0. What is c?
-2/3, 1, 3, 4, 15
Factor 4*d**2 - 992*d - 996.
4*(d - 249)*(d + 1)
Find f, given that f**4/4 - 7*f**3/2 + 49*f**2/4 - 9*f = 0.
0, 1, 4, 9
Factor -3*v**3 - 21624*v**2 + 43257*v - 21630.
-3*(v - 1)**2*(v + 7210)
Factor 4*u**3 + 880*u**2 + 12404*u + 21320.
4*(u + 2)*(u + 13)*(u + 205)
Find d, given that -2*d**3/9 - 682*d**2/9 + 1420*d/9 + 5488/3 = 0.
-343, -4, 6
Solve 82*u**4 - 168*u**3 - 6880*u**2 + 29856*u - 1440 = 0 for u.
-10, 2/41, 6
Let 14*x**5 + 2488*x**4 + 110042*x**3 - 34136*x**2 - 110056*x + 31648 = 0. What is x?
-92, -86, -1, 2/7, 1
Find j such that 6*j**4/5 + 2658*j**3/5 - 2664*j**2/5 = 0.
-444, 0, 1
Determine k, given that -k**2/6 + 21*k/2 + 294 = 0.
-21, 84
Find o such that -3*o**3 - 6966*o**2 + 41877*o - 62856 = 0.
-2328, 3
Let -5*a**3 - 650*a**2 - 25145*a - 247800 = 0. Calculate a.
-59, -56, -15