189
Find q such that 3*q**3 - 2115*q**2 + 356400*q + 5832000 = 0.
-15, 360
Let x**2/8 - 991*x/4 + 495 = 0. What is x?
2, 1980
Solve -z**4 + 1439*z**3 - 2873*z**2 - 1439*z + 2874 = 0 for z.
-1, 1, 2, 1437
Factor -2*f**3/9 + 664*f**2/3 - 11896*f/9 + 1760.
-2*(f - 990)*(f - 4)*(f - 2)/9
Find s, given that 2*s**4/3 + 706*s**3/3 + 1340*s**2 - 16656*s = 0.
-347, -12, 0, 6
Factor -i**3/9 - 986*i**2/9 - 4909*i/9 - 436.
-(i + 1)*(i + 4)*(i + 981)/9
Find r such that 3*r**5 - 1277*r**4 + 8373*r**3 + 2933*r**2 = 0.
-1/3, 0, 7, 419
Suppose -3*z**4 - 138792*z**3 + 1526970*z**2 - 4858800*z + 3470625 = 0. Calculate z.
-46275, 1, 5
Determine u, given that -10*u**3/11 + 1748*u**2/11 + 7510*u/11 + 1432/11 = 0.
-4, -1/5, 179
Factor 2*d**4 - 15766*d**3 - 31538*d**2 - 15770*d.
2*d*(d - 7885)*(d + 1)**2
Let -2*k**4/9 + 14*k**3/9 + 152*k**2/3 = 0. What is k?
-12, 0, 19
Suppose -3*c**5/4 - 3387*c**4/4 - 191721*c**3/4 - 2485893*c**2/4 + 2212656*c - 1542405 = 0. Calculate c.
-1070, -31, 1, 2
What is p in -22*p**5 + 1568*p**4 - 2982*p**3 - 4660*p**2 + 6008*p + 6096 = 0?
-1, 2, 762/11
Solve -2*a**4/3 - 174*a**3 - 2000*a**2/3 + 4776*a - 16448/3 = 0 for a.
-257, -8, 2
Let -6*s**5 - 1971*s**4 - 156249*s**3 + 941379*s**2 + 1757007*s = 0. Calculate s.
-167, -3/2, 0, 7
Factor -2*s**5/11 + 4300*s**4/11 + 247072*s**3/11.
-2*s**3*(s - 2206)*(s + 56)/11
Determine f, given that -34*f**3 - 246*f**2 - 212*f = 0.
-106/17, -1, 0
Let 2*c**3/7 + 14710*c**2/7 + 234814*c/7 - 249526/7 = 0. What is c?
-7339, -17, 1
Determine t so that -2*t**4/9 - 196*t**3/9 + 602*t**2/9 - 404*t/9 = 0.
-101, 0, 1, 2
Solve 2*n**3/5 + 116464*n**2/5 = 0 for n.
-58232, 0
Factor 2*b**2 + 386*b + 17700.
2*(b + 75)*(b + 118)
Solve b**5/4 - 17*b**4/2 - 305*b**3/2 + 1342*b**2 - 8775*b/4 + 2025/2 = 0.
-18, 1, 5, 45
Factor o**2/4 + 10381*o/4 + 2595.
(o + 1)*(o + 10380)/4
Determine o, given that 3*o**3 - 435*o**2 + 861*o - 429 = 0.
1, 143
Factor -10*i**3 + 3405*i**2 + 29625*i + 13960.
-5*(i - 349)*(i + 8)*(2*i + 1)
Suppose -k**5/4 + 33*k**4 - 2103*k**3/2 - 2747*k**2 + 67335*k/4 = 0. Calculate k.
-5, 0, 3, 67
Suppose -4*o**5 - 808*o**4 + 2460*o**3 - 16*o**2 - 3280*o = 0. Calculate o.
-205, -1, 0, 2
Factor -5*b**2/4 - 45355*b - 411415205.
-5*(b + 18142)**2/4
Factor -2*h**4 + 2288*h**3 - 658920*h**2 + 2599200*h.
-2*h*(h - 570)**2*(h - 4)
Solve 36*z**4 + 14104*z**3 + 1291280*z**2 - 17914976*z + 3917184 = 0.
-202, 2/9, 12
Suppose -50*l**3 - 43140*l**2 - 376728*l - 826672 = 0. What is l?
-854, -22/5
Factor -4*d**3 - 324*d**2 - 896*d + 3120.
-4*(d - 2)*(d + 5)*(d + 78)
Factor -3*x**2/7 - 393*x/7 - 774/7.
-3*(x + 2)*(x + 129)/7
Factor 3*o**2/7 - 1899*o/7 + 84240/7.
3*(o - 585)*(o - 48)/7
Factor r**3 - 739*r**2 + 123520*r + 4916868.
(r - 386)**2*(r + 33)
Let -2*d**5/7 - 16*d**4/7 + 974*d**3/7 + 988*d**2/7 = 0. What is d?
-26, -1, 0, 19
What is c in -c**3/8 + 1800*c**2 + 100947*c/2 + 353486 = 0?
-14, 14428
Find c, given that -2*c**3 - 1620*c**2 + 3246*c - 1624 = 0.
-812, 1
Solve 18*q**3 - 940*q**2 + 3544*q - 3472 = 0.
2, 434/9
Let 128*y**5/9 - 2720*y**4/3 - 15064*y**3/3 - 80458*y**2/9 - 15778*y/3 = 0. What is y?
-7/4, 0, 69
Factor -2*j**4 + 18*j**3 + 124*j**2 + 216*j + 112.
-2*(j - 14)*(j + 1)*(j + 2)**2
Factor -5547*g**4 - 84882*g**3 - 228747*g**2 + 734328*g - 415152.
-3*(g - 1)**2*(43*g + 372)**2
Factor 3*p**5 + 72*p**4 - 75*p**3.
3*p**3*(p - 1)*(p + 25)
Factor 3*u**4 - 18024*u**3 - 126279*u**2 - 216540*u.
3*u*(u - 6015)*(u + 3)*(u + 4)
Find v such that v**5/6 - 17*v**4/6 - 725*v**3/6 - 7079*v**2/6 - 13930*v/3 - 19600/3 = 0.
-7, -5, -4, 40
Let -i**3 + 1419*i**2 + 2841*i + 1421 = 0. What is i?
-1, 1421
Factor 382*b**3/9 - 248*b**2/3 + 38*b + 20/9.
2*(b - 1)**2*(191*b + 10)/9
What is h in -12*h**5/5 - 1032*h**4/5 + 9033*h**3/5 + 777*h**2/5 - 1302*h - 2256/5 = 0?
-94, -1/2, 1, 8
Suppose r**4 + 769*r**3 - 9333*r**2 + 30431*r - 21868 = 0. What is r?
-781, 1, 4, 7
Solve -3*p**5 - 87*p**4 + 195*p**3 + 255*p**2 - 732*p + 372 = 0 for p.
-31, -2, 1, 2
Solve h**4/8 - 231*h**3/8 + 2013*h**2/8 - 3337*h/8 + 777/4 = 0 for h.
1, 7, 222
What is p in 3*p**5 - 30*p**4 - 114*p**3 - 48*p**2 + 111*p + 78 = 0?
-2, -1, 1, 13
Suppose -s**2/5 + 15094*s/5 + 3019 = 0. Calculate s.
-1, 15095
Solve -5*o**2/2 + 38950*o - 77895/2 = 0 for o.
1, 15579
Factor -b**2/5 - 104168*b/5 - 2712743056/5.
-(b + 52084)**2/5
Factor -2*p**2/11 - 10026*p/11 - 20044/11.
-2*(p + 2)*(p + 5011)/11
Find z, given that -2*z**3/3 + 152*z**2 - 7326*z - 22436/3 = 0.
-1, 71, 158
Factor 12*t**2 + 611392*t + 203796.
4*(t + 50949)*(3*t + 1)
Let b**4 - 4652*b**3 + 5419571*b**2 - 21617848*b + 16202928 = 0. Calculate b.
1, 3, 2324
Factor -b**3/8 + 2391*b**2/2 - 19125*b/8 + 4781/4.
-(b - 9562)*(b - 1)**2/8
What is f in 3*f**5 + 66*f**4 + 510*f**3 + 1752*f**2 + 2655*f + 1350 = 0?
-10, -5, -3, -1
Factor -2*q**3/9 + 1574*q**2/3 - 309422*q - 2789522/9.
-2*(q - 1181)**2*(q + 1)/9
Suppose 4*s**4 - 244*s**3 + 1660*s**2 + 1908*s = 0. Calculate s.
-1, 0, 9, 53
Factor -5*s**3 - 92590*s**2 - 277735*s - 185150.
-5*(s + 1)*(s + 2)*(s + 18515)
Solve -8*r**4 + 366*r**3 - 5454*r**2 + 28080*r - 18144 = 0 for r.
3/4, 12, 21
Factor -5*r**2 + 162330*r - 1317551445.
-5*(r - 16233)**2
Let 4*p**2/7 - 7056*p + 21781872 = 0. What is p?
6174
Factor -2*q**3 - 492*q**2 + 12422*q + 12912.
-2*(q - 24)*(q + 1)*(q + 269)
Suppose -1885682*i**5 + 11652*i**4 + 1885664*i**3 - 11652*i**2 + 18*i = 0. Calculate i.
-1, 0, 3/971, 1
Let -3*v**5 - 57*v**4 + 1350*v**3 - 1230*v**2 - 1347*v + 1287 = 0. Calculate v.
-33, -1, 1, 13
Let -4*y**5 + 416*y**4 - 396*y**3 - 1664*y**2 + 1648*y = 0. Calculate y.
-2, 0, 1, 2, 103
Let -20*g**4 + 308*g**3 + 2360*g**2 - 10592*g + 3840 = 0. Calculate g.
-8, 2/5, 3, 20
Solve -6*u**5/7 + 276*u**4/7 + 6*u**3/7 - 276*u**2/7 = 0 for u.
-1, 0, 1, 46
Factor -2*g**3/19 + 22*g**2/19 + 360*g/19.
-2*g*(g - 20)*(g + 9)/19
Suppose 3*o**5/2 + 78*o**4 + 225*o**3 + 222*o**2 + 147*o/2 = 0. Calculate o.
-49, -1, 0
Factor -4*a**2 - 230400*a + 460816.
-4*(a - 2)*(a + 57602)
Factor -r**2/6 - 6989*r/6 + 1165.
-(r - 1)*(r + 6990)/6
Suppose 21*w**2/8 + 53463*w/8 + 22905/4 = 0. Calculate w.
-2545, -6/7
Let -b**2/2 - 37989*b/2 - 37987 = 0. Calculate b.
-37987, -2
Find t, given that -22*t**2 + 481054*t - 481032 = 0.
1, 240516/11
Let -2*l**2 - 132134*l - 132132 = 0. What is l?
-66066, -1
Let c**2 + 7954*c - 15912 = 0. What is c?
-7956, 2
Suppose 3*x**4/7 - 37446*x**3/7 - 37449*x**2/7 = 0. Calculate x.
-1, 0, 12483
Solve 2*i**3/7 - 12508*i**2/7 + 99968*i/7 - 199872/7 = 0.
4, 6246
Factor -3*w**2 + 9849*w + 118620.
-3*(w - 3295)*(w + 12)
Solve -3*q**4 - 2163*q**3 - 19302*q**2 - 55608*q - 51264 = 0.
-712, -4, -3, -2
Suppose d**3/2 + 6365*d**2/2 - 12733*d/2 + 6367/2 = 0. Calculate d.
-6367, 1
Let -2*x**5/17 - 48*x**4/17 - 234*x**3/17 + 676*x**2/17 = 0. Calculate x.
-13, 0, 2
Factor p**2/2 - 20252*p + 40503/2.
(p - 40503)*(p - 1)/2
Factor -4*b**3 + 560*b**2 - 1108*b + 552.
-4*(b - 138)*(b - 1)**2
Suppose -21*j**3 + 24063*j**2 - 116463*j + 92421 = 0. What is j?
1, 27/7, 1141
Factor 3*l**3 + 72*l**2 + 123*l - 3978.
3*(l - 6)*(l + 13)*(l + 17)
Factor -2*i**2 + 24040*i.
-2*i*(i - 12020)
Suppose 3*k**3/5 - 2844*k**2/5 + 5679*k/5 - 2838/5 = 0. Calculate k.
1, 946
Factor 3*y**3/4 + 99*y**2 - 9063*y/4 + 2166.
3*(y - 19)*(y - 1)*(y + 152)/4
Solve -5*f**2 + 10999760*f - 6049736002880 = 0 for f.
1099976
Suppose -44*m**4/13 - 886*m**3/13 - 956*m**2/13 - 114*m/13 = 0. Calculate m.
-19, -1, -3/22, 0
Find h, given that -7*h**3/11 + 101883*h**2/11 - 174632*h/11 - 5292 = 0.
-2/7, 2, 14553
Find t, given that -5*t**3 + 720*t**2 + 21005*t + 20280 = 0.
-24, -1, 169
Factor -l**3/6 + 65*l**2/12 + 439*l/12 - 133/2.
-(l - 38)*(l + 7)*(2*l - 3)/12
Let -2*g**2/19 - 530*g/19 - 528/19 = 0. Calculate g.
-264, -1
Factor -30*s**2 - 6245*s - 1040.
-5*(s + 208)*(6*s + 1)
Let 4*b**5/5 + 68*b**4 - 2892*b**3/5 + 1548*b**2 - 6696*b/5 = 0. What is b?
-93, 0, 2, 3
Factor 5*u**4 + 5900*u**3 + 11780*u**2.
5*u**2*(u + 2)*(u + 1178)
What is y in -14*y**4/11 + 2944*y**3/11 + 48888*y**2/11 + 188288*y/11 - 57856/11 = 0?
-8, 2/7, 226
Factor v**2/2 - 1681*v/2 - 841.
(v - 1682)*(v + 1)/2
Factor -80*n**3 + 4456440*n**2 - 2228205*n + 278525.
-5*(n - 55705)*(4*n - 1)**2
Determine y so that 2*y**3 + 64*y**2 + 224*y = 0.
-28, -4, 0
Solve 4*v**4 + 4592*v**3 + 1340664*v**2 + 13064240*v + 32