4, 8
Determine j, given that -3*j**4 + 1635*j**3 - 234675*j**2 + 3239625*j - 10533750 = 0.
5, 10, 265
Factor -4*n**2/7 + 310*n/7 - 456/7.
-2*(n - 76)*(2*n - 3)/7
Suppose o**2/2 - 730*o - 1462 = 0. What is o?
-2, 1462
Suppose 3*v**5 - 138*v**4 - 118296*v**3 + 11120466*v**2 + 118293*v - 11120328 = 0. What is v?
-216, -1, 1, 131
What is d in -d**5 - 136*d**4 + 1320*d**3 + 2122*d**2 - 7655*d + 4350 = 0?
-145, -3, 1, 10
Solve 5*b**4 - 13815*b**3 + 68965*b**2 - 41325*b - 124110 = 0 for b.
-1, 3, 2758
Determine f, given that 8*f**4 + 18422*f**3 + 87346*f**2 + 50548*f - 18384 = 0.
-2298, -4, -1, 1/4
What is b in -3*b**4 - 159*b**3 - 1140*b**2 + 2292*b + 7920 = 0?
-44, -10, -2, 3
Factor -3*n**2 + 20388*n.
-3*n*(n - 6796)
Factor -2*r**4/17 - 74754*r**3/17.
-2*r**3*(r + 37377)/17
Suppose -f**3 - 121723*f**2 - 730311*f - 1095453 = 0. Calculate f.
-121717, -3
Factor 2*l**3 + 187008*l**2 + 4371686010*l + 8742624004.
2*(l + 2)*(l + 46751)**2
Find k such that 2*k**4/7 - 750*k**3/7 + 1494*k**2/7 - 746*k/7 = 0.
0, 1, 373
Suppose -3*c**2 - 684*c + 10935 = 0. Calculate c.
-243, 15
Factor -x**5 - 10*x**4 + 1200*x**3 + 29970*x**2 + 251505*x + 717336.
-(x - 41)*(x + 9)**3*(x + 24)
Find m, given that -m**3/2 - 1563*m**2/2 - 3123*m/2 - 1561/2 = 0.
-1561, -1
Factor -27*y**2/4 - 1485195*y/4 - 165021/2.
-3*(y + 55007)*(9*y + 2)/4
Let -33*a**4 - 1803*a**3 - 8256*a**2 - 3012*a + 13104 = 0. What is a?
-546/11, -4, -2, 1
Suppose 5*c**2 - 2480*c + 212300 = 0. Calculate c.
110, 386
Factor r**3 - 85*r**2 + 739*r + 825.
(r - 75)*(r - 11)*(r + 1)
Factor 2*o**2/7 + 1088*o/7 - 1090/7.
2*(o - 1)*(o + 545)/7
Solve -10*p**5 + 645*p**4 + 1695*p**3 - 1325*p**2 - 1005*p = 0 for p.
-3, -1/2, 0, 1, 67
Let 10*d**3/13 - 8822*d**2/13 + 1946574*d/13 - 388962/13 = 0. What is d?
1/5, 441
Factor d**3/11 - 79303*d**2/11 + 1572201800*d/11 + 1572281104/11.
(d - 39652)**2*(d + 1)/11
What is i in 3*i**4 - 25719*i**3 + 179931*i**2 - 385497*i + 231282 = 0?
1, 3, 8566
Let 98415*s**4 + 9863370*s**3 + 2188620*s**2 + 162040*s + 4000 = 0. Calculate s.
-100, -2/27
Suppose -4*i**2 - 280632*i - 4922144964 = 0. What is i?
-35079
Factor -17536*q**3 - 17098*q**2 + 438*q.
-2*q*(q + 1)*(8768*q - 219)
Solve 6*x**5/5 + 15*x**4 - 384*x**3/5 - 2586*x**2/5 - 3078*x/5 - 189 = 0 for x.
-15, -3, -1, -1/2, 7
Solve -3*k**5 + 138*k**4 - 2349*k**3 + 17886*k**2 - 55992*k + 40320 = 0 for k.
1, 7, 10, 12, 16
Determine a so that 17*a**5/4 - 185*a**4/4 + 131*a**3/4 + 2041*a**2/4 + 476*a + 49 = 0.
-2, -1, -2/17, 7
Suppose n**5/5 + 1584*n**4/5 + 628837*n**3/5 + 1238706*n**2/5 - 5005448*n/5 = 0. What is n?
-791, -4, 0, 2
Find a such that -10*a**5 - 368*a**4 - 236*a**3 + 1832*a**2 - 1434*a + 216 = 0.
-36, -3, 1/5, 1
What is p in -266*p**5/11 + 1511*p**4/11 - 1985*p**3/11 + 800*p**2/11 - 4*p - 16/11 = 0?
-2/19, 2/7, 1/2, 1, 4
Let d**4/5 + 16*d**3/5 - 498*d**2/5 - 8816*d/5 - 8303/5 = 0. Calculate d.
-19, -1, 23
Suppose -a**3/3 + 3062*a**2 + 18376*a/3 = 0. Calculate a.
-2, 0, 9188
Let -3*h**2/5 - 108*h - 13857/5 = 0. What is h?
-149, -31
Factor -3*x**3/4 - 567*x**2 + 3*x/4 + 567.
-3*(x - 1)*(x + 1)*(x + 756)/4
Determine t, given that -98*t**5 - 377748*t**4 - 29960792*t**3 - 608791152*t**2 - 340578560*t - 48307200 = 0.
-3774, -40, -2/7
Solve 5*t**2 + 10805*t = 0.
-2161, 0
Let -3*y**5/2 + 939*y**4/2 + 18627*y**3/2 + 98361*y**2/2 + 40338*y = 0. What is y?
-9, -1, 0, 332
Factor 5*u**2 + 89627*u + 35850.
(u + 17925)*(5*u + 2)
Suppose -2*q**5 - 116*q**4 + 64*q**3 + 3712*q**2 - 512*q - 29696 = 0. Calculate q.
-58, -4, 4
Let -2*f**2/21 + 4606*f/3 + 420160/7 = 0. Calculate f.
-39, 16160
Factor z**2/9 - 5413*z/9 - 5414/9.
(z - 5414)*(z + 1)/9
Factor -50*v**4/9 - 13040*v**3/9 - 265216*v**2/3 + 802816*v.
-2*v*(v - 8)*(5*v + 672)**2/9
Find w, given that 5*w**4/6 + 415*w**3/2 + 32625*w**2/2 + 643365*w/2 - 6585030 = 0.
-87, 12
Factor -2*j**2/9 - 164*j/3 + 5120/9.
-2*(j - 10)*(j + 256)/9
Solve -c**2 - 2826*c - 22544 = 0 for c.
-2818, -8
Suppose -2*f**4/5 + 524*f**3/5 - 1032*f**2/5 - 2096*f/5 + 832 = 0. What is f?
-2, 2, 260
Find l, given that -l**4/2 - 6430*l**3 - 41332037*l**2/2 + 41357761*l = 0.
-6431, 0, 2
Factor -2*n**2 + 1220295*n/2 - 915219/2.
-(n - 305073)*(4*n - 3)/2
Solve -3*y**3/2 - 7749*y**2/2 + 15507*y/2 - 7755/2 = 0.
-2585, 1
Solve -5*x**2/3 + 161*x/2 - 24 = 0.
3/10, 48
Factor 4*f**2/7 - 9904*f/7 - 2832.
4*(f - 2478)*(f + 2)/7
What is d in 4*d**2 - 2692*d + 16008 = 0?
6, 667
Factor 4*u**3/7 + 7748*u**2/7 - 4*u/7 - 7748/7.
4*(u - 1)*(u + 1)*(u + 1937)/7
Let -2*d**2/9 - 610*d/3 - 5900 = 0. Calculate d.
-885, -30
Factor 4*z**2 + 29188*z + 29184.
4*(z + 1)*(z + 7296)
Determine t so that 6*t**5 - 442*t**4 + 1130*t**3 + 450*t**2 - 1696*t - 568 = 0.
-1, -1/3, 2, 71
Find c, given that c**2 - 2114*c = 0.
0, 2114
Find g such that -3*g**2/5 - 14229*g/5 = 0.
-4743, 0
Suppose 2705*h**3 - 164990*h**2 - 168625*h - 930 = 0. What is h?
-1, -3/541, 62
Solve 10*z**3/7 + 314*z**2/7 - 29396*z/7 - 11808/7 = 0 for z.
-72, -2/5, 41
Solve 4*r**5 + 32*r**4 + 60*r**3 - 32*r**2 - 64*r = 0.
-4, -1, 0, 1
Determine g, given that g**4/7 - 3616*g**3/7 + 28855*g**2/7 + 32472*g/7 = 0.
-1, 0, 9, 3608
What is d in -d**3/2 + 17477*d**2/2 - 43680*d = 0?
0, 5, 17472
Let -h**2/4 - 4453*h/2 - 19829209/4 = 0. What is h?
-4453
Solve -99416*g**5 + 2384760*g**4 - 2257006*g**3 - 32612*g**2 + 4182*g + 92 = 0.
-1/34, 2/43, 1, 23
Suppose -2*z**2 + 92718*z = 0. Calculate z.
0, 46359
Let 2*y**3/11 + 120*y**2 + 24024*y + 1308736 = 0. Calculate y.
-286, -88
Find d, given that d**2 - 32650*d + 266505625 = 0.
16325
Let x**3/4 - 358*x**2 + 514085*x/4 - 511225/2 = 0. Calculate x.
2, 715
Let 5*l**3 + 7535*l**2 + 15050*l = 0. Calculate l.
-1505, -2, 0
Factor 2*u**2/13 - 14292*u/13 - 42894/13.
2*(u - 7149)*(u + 3)/13
Factor -x**5/8 + 5*x**4 - 27*x**3 + 52*x**2 - 34*x.
-x*(x - 34)*(x - 2)**3/8
Determine k so that k**4 + 111*k**3 + 213*k**2 - 551*k - 654 = 0.
-109, -3, -1, 2
Let h**3/3 - 7*h**2/3 + 2*h/3 + 40/3 = 0. Calculate h.
-2, 4, 5
Suppose -4*k**5 - 32*k**4 + 80*k**3 + 640*k**2 - 256*k - 2048 = 0. Calculate k.
-8, -4, -2, 2, 4
Factor 39*v**2 + 516*v + 117.
3*(v + 13)*(13*v + 3)
Let -2*g**4 - 538*g**3 - 1578*g**2 + 4778*g - 2660 = 0. What is g?
-266, -5, 1
Determine c, given that -4*c**2 + 11428*c = 0.
0, 2857
Find d such that 3*d**4 + 252*d**3 - 1587*d**2 + 2952*d - 1620 = 0.
-90, 1, 2, 3
Factor -2*i**2/11 + 82*i/11 + 38640/11.
-2*(i - 161)*(i + 120)/11
Solve -5*y**2 + 3500220*y - 612577002420 = 0.
350022
Factor -2*o**3/3 - 1406*o**2/3 - 237712*o/3 + 3332264/3.
-2*(o - 13)*(o + 358)**2/3
Find x such that 2*x**2/9 + 5296*x/9 - 10616/3 = 0.
-2654, 6
Determine j, given that 2*j**5 - 582*j**4 - 9216*j**3 + 10952*j**2 + 19584*j = 0.
-16, -1, 0, 2, 306
What is v in -v**5 - 20*v**4 - 86*v**3 + 368*v**2 + 2007*v - 2268 = 0?
-9, -7, 1, 4
Find d such that 3*d**2/7 + 2088*d/7 + 84237/7 = 0.
-653, -43
Determine b so that -2*b**3 + 20*b**2 + 5038*b - 25440 = 0.
-48, 5, 53
Suppose -2*f**4/9 - 231304*f**3/9 - 2229153748*f**2/3 + 13375616408*f/9 - 6687923858/9 = 0. Calculate f.
-57827, 1
Determine o, given that -o**5/3 - 102*o**4 - 2451*o**3 - 19192*o**2/3 + 115712*o - 215040 = 0.
-280, -16, 3
Factor q**2/5 + 7618*q/5 + 7617/5.
(q + 1)*(q + 7617)/5
Factor 5*u**2 - 3950*u + 324105.
5*(u - 697)*(u - 93)
Solve -78*z**2 - 99218*z - 2544 = 0 for z.
-1272, -1/39
Find n such that -n**3/2 + n**2/2 + 221*n + 220 = 0.
-20, -1, 22
Factor 2*d**2/3 - 18646*d/9 + 12428/9.
2*(d - 3107)*(3*d - 2)/9
What is x in 2*x**5 - 54*x**4 + 428*x**3 - 936*x**2 + 560*x = 0?
0, 1, 2, 10, 14
Determine s, given that 4*s**3/5 - 45008*s**2/5 + 179984*s/5 - 179968/5 = 0.
2, 11248
Factor -5*v**3 + 4874*v**2 + 45216*v + 47232.
-(v - 984)*(v + 8)*(5*v + 6)
What is a in -2*a**5/7 + 312*a**4/7 - 12680*a**3/7 + 47340*a**2/7 - 57878*a/7 + 22908/7 = 0?
1, 2, 69, 83
Factor -2*j**2/11 + 24436*j - 821037382.
-2*(j - 67199)**2/11
Factor 3*n**2/2 - 15*n/2 - 3096.
3*(n - 48)*(n + 43)/2
What is l in 2*l**3 + 312*l**2 - 648*l - 2528 = 0?
-158, -2, 4
Solve -2*x**4/5 - 66*x**3/5 + 2846*x**2/5 + 6114*x/5 - 8892/5 = 0 for x.
-57, -3, 1, 26
Factor -2*d**2/19 - 638*d/19 - 636/19.
-2*(d + 1)*(d + 318)/19
Solve -c**3/11 - 6994*c**2/11 - 109792*c - 4799872 = 0.
-6818, -88
Let -n**2/6 - 27*n = 0. Calculate n.
-162, 0
Factor -w**2 - 1834*w - 266325.
-(w + 159)*(w + 167