 5046*s**2/7.
3*s**2*(s + 1)*(s + 1682)/7
Determine x, given that 4*x**2/5 + 90972*x/5 - 272952/5 = 0.
-22746, 3
Factor 63660*f**2 - 63652*f - 8.
4*(f - 1)*(15915*f + 2)
Factor -2*w**2/13 - 13452*w/13 + 13454/13.
-2*(w - 1)*(w + 6727)/13
Solve -12*n**5 - 98400*n**4 - 201818211*n**3 - 401989065*n**2 + 2569568823*n - 2268243135 = 0.
-4099, -5, 3/2
Find p such that -2*p**5 - 382*p**4 - 3302*p**3 - 4642*p**2 + 16480*p + 18200 = 0.
-182, -5, -1, 2
Let -10*t**4/7 - 172*t**3 - 230*t**2/7 + 4300*t + 12000/7 = 0. Calculate t.
-120, -5, -2/5, 5
Find t, given that -21537*t**3/8 - 635343*t**2/2 - 74971005*t/8 - 10443/4 = 0.
-59, -2/7179
Factor 2*k**4 - 51942*k**3 + 449609940*k**2 - 1296674755272*k - 3894072157872.
2*(k - 8658)**3*(k + 3)
Solve -k**3/2 - 59*k**2/2 + 362*k + 3808 = 0.
-68, -7, 16
Suppose 2*s**3/17 + 16*s**2/17 - 1240*s/17 + 2400/17 = 0. What is s?
-30, 2, 20
Factor 2*p**2/9 - 58463*p/9 + 29231/9.
(p - 29231)*(2*p - 1)/9
Factor -2*j**3/3 - 39206*j**2/3 - 64091984*j - 448003752.
-2*(j + 7)*(j + 9798)**2/3
Factor 3*k**3/5 + 247386*k**2/5 + 5099986083*k/5.
3*k*(k + 41231)**2/5
Factor 997*j**3 - 19944*j**2 + 35972*j - 144.
(j - 18)*(j - 2)*(997*j - 4)
Determine b, given that -2*b**5/7 + 1150*b**4/7 - 51536*b**3/7 + 492496*b**2/7 + 2625376*b/7 + 2850016/7 = 0.
-2, 26, 527
Solve q**4/3 - 134*q**3/3 - 45*q**2 = 0.
-1, 0, 135
Find g such that -2*g**4 + 251*g**3 - 3453*g**2 - 15776*g + 8720 = 0.
-4, 1/2, 20, 109
Determine v so that 2*v**3/3 - 376*v**2/3 - 2622*v = 0.
-19, 0, 207
Factor 4*y**3/7 + 380*y**2/7 - 872*y.
4*y*(y - 14)*(y + 109)/7
Factor -3969*s**4 - 252*s**3 + 63500*s**2 + 4032*s + 64.
-(s - 4)*(s + 4)*(63*s + 2)**2
Suppose -r**3 + 12465*r**2 - 24927*r + 12463 = 0. What is r?
1, 12463
Let 2*k**2/7 - 7232*k/7 + 4128 = 0. Calculate k.
4, 3612
Suppose -3*b**4 + 213*b**3 + 27*b**2 - 1917*b = 0. What is b?
-3, 0, 3, 71
Factor 2187*h**4/4 + 71280*h**3 + 4672725*h**2/2 + 858000*h + 316875/4.
3*(h + 65)**2*(27*h + 5)**2/4
Let 3*v**3 + 111*v**2 + 858*v = 0. Calculate v.
-26, -11, 0
Determine r so that -2*r**3/7 - 4964*r**2/7 + 24862*r/7 - 19896/7 = 0.
-2487, 1, 4
Solve -3*d**2 + 1661682*d - 230098922427 = 0 for d.
276947
Find i, given that -4*i**2 + 4976*i - 4972 = 0.
1, 1243
Factor -2*m**3 - 34*m**2 - 8*m + 384.
-2*(m - 3)*(m + 4)*(m + 16)
Factor -2*q**2/5 + 11108*q/5 + 481342/5.
-2*(q - 5597)*(q + 43)/5
What is q in 4*q**3 - 796*q + 1560 = 0?
-15, 2, 13
Determine b so that -b**2/3 + 260*b/3 + 112700/3 = 0.
-230, 490
Suppose -4*w**2/11 + 838686*w/11 - 838682/11 = 0. What is w?
1, 419341/2
Let -3*u**4/5 - 76668*u**3/5 - 490061802*u**2/5 - 587660220*u - 881283375 = 0. What is u?
-12775, -3
Determine o so that o**4/8 - 897*o**3/8 + 197055*o**2/8 + 1846881*o/8 = 0.
-9, 0, 453
Factor -x**3/4 + 15277*x**2/4 - 14550320*x - 277836544.
-(x - 7648)**2*(x + 19)/4
Determine j so that -8*j**4 + 15814*j**3 + 19788*j**2 - 15814*j - 19780 = 0.
-5/4, -1, 1, 1978
Solve -2*v**2/7 - 107290*v/7 - 214572/7 = 0 for v.
-53643, -2
Factor 32*y**4/11 - 48*y**3 + 1170*y**2/11 - 700*y/11.
2*y*(y - 14)*(4*y - 5)**2/11
Determine i, given that -i**3/6 + 1225*i**2/3 - 1505513*i/6 + 2991458/3 = 0.
4, 1223
Determine a so that -3*a**3 + 5820*a**2 + 345129*a + 5040954 = 0.
-29, 1998
Factor -j**3/4 - 29*j**2/2 - 731*j/4 + 851/2.
-(j - 2)*(j + 23)*(j + 37)/4
Factor -3*j**2 - 25254*j - 252240.
-3*(j + 10)*(j + 8408)
Factor s**4/5 - 69*s**3 - 2811*s**2/5 - 4583*s/5 - 2118/5.
(s - 353)*(s + 1)**2*(s + 6)/5
Factor -5*f**3 - 65*f**2 + 7425*f + 149445.
-5*(f - 41)*(f + 27)**2
Factor -15*b**2 - 47027*b - 6270.
-(b + 3135)*(15*b + 2)
Determine m so that 4*m**2/7 + 11492*m/7 + 11488/7 = 0.
-2872, -1
Suppose -2*m**4/23 + 5328*m**3/23 - 174372*m**2/23 + 1912768*m/23 - 7003722/23 = 0. Calculate m.
11, 2631
Find m such that -m**5 - 13766*m**4 - 47389453*m**3 - 94737612*m**2 - 47361924*m = 0.
-6882, -1, 0
Factor -4*k**2 + 6408*k + 64480.
-4*(k - 1612)*(k + 10)
Suppose -2*x**5 + 824*x**4 + 81790*x**3 + 1918044*x**2 + 3594024*x + 1756944 = 0. What is x?
-42, -1, 498
Determine p so that -5*p**5/6 + 3935*p**4/2 - 7865*p**3/2 + 11795*p**2/6 = 0.
0, 1, 2359
Determine o so that -21*o**5 - 33*o**4 + 93*o**3 - 3*o**2 - 36*o = 0.
-3, -4/7, 0, 1
Determine h, given that h**3/2 - 2933*h**2/2 + 2149155*h/2 + 2152089/2 = 0.
-1, 1467
Find t such that -105*t**3 + 655*t**2 - 150*t = 0.
0, 5/21, 6
Factor -5*m**2 - 6601*m - 1320.
-(m + 1320)*(5*m + 1)
Find u, given that 4*u**5 - 4332*u**4 + 1174988*u**3 - 1101412*u**2 - 18800832*u + 18731584 = 0.
-4, 1, 4, 541
Solve 48*n**5/7 + 1752*n**4/7 - 885*n**3/7 + 111*n**2/7 = 0.
-37, 0, 1/4
Find p such that 4*p**5/11 + 622*p**4/11 - 14166*p**3/11 - 91138*p**2/11 - 146950*p/11 - 52500/11 = 0.
-175, -3, -2, -1/2, 25
Factor -2*l**3/11 - 133882*l**2/11 - 267758*l/11 - 133878/11.
-2*(l + 1)**2*(l + 66939)/11
Suppose 2*s**5/5 + 3046*s**4 + 5803390*s**3 + 17391898*s**2 + 17385808*s + 28971272/5 = 0. What is s?
-3806, -1
Find z, given that z**4/7 + 972*z**3/7 - 3*z**2/7 - 2918*z/7 - 1944/7 = 0.
-972, -1, 2
Factor q**4 - 2*q**3 - 21*q**2 - 18*q.
q*(q - 6)*(q + 1)*(q + 3)
Factor -2*x**4 - 6766*x**3 - 20286*x**2 - 20282*x - 6760.
-2*(x + 1)**3*(x + 3380)
Suppose -y**5/3 + 91*y**4/3 - 2872*y**3/3 + 11576*y**2 - 35760*y + 32400 = 0. Calculate y.
2, 27, 30
Factor -4*t**2/5 - 2604*t/5 - 70288.
-4*(t + 191)*(t + 460)/5
Factor -4*x**2/7 - 4548*x/7 - 4544/7.
-4*(x + 1)*(x + 1136)/7
Factor -t**2 + 476*t + 5856.
-(t - 488)*(t + 12)
Find q such that q**2/4 + 23525*q/4 = 0.
-23525, 0
Factor 2*k**4/3 + 138*k**3 + 812*k**2 + 4840*k/3 + 1072.
2*(k + 2)**3*(k + 201)/3
What is a in -10*a**4/9 + 32648*a**3/9 + 1457650*a**2/9 + 16305784*a/9 + 1067704/3 = 0?
-22, -1/5, 3309
What is t in -3*t**2/7 + 73299*t/7 + 366570/7 = 0?
-5, 24438
Solve -w**5/4 + 335*w**4/4 - 6107*w**3/4 + 32641*w**2/4 - 7293*w - 17064 = 0 for w.
-1, 3, 8, 9, 316
Suppose w**2/4 + 89919*w + 8085426561 = 0. What is w?
-179838
Find z, given that -z**4 + 406*z**3 + 2048*z**2 + 2874*z + 1233 = 0.
-3, -1, 411
Determine i so that -5*i**2 + 3365*i + 27240 = 0.
-8, 681
What is j in -2*j**3 + 9540*j**2 - 11318994*j - 137205144 = 0?
-12, 2391
Factor -x**2 + 125771*x + 251546.
-(x - 125773)*(x + 2)
Factor -3*g**2 + 2466*g - 425088.
-3*(g - 576)*(g - 246)
Solve 2*f**4/17 + 3324*f**3/17 + 81824*f**2 + 8174016*f/17 - 21938688/17 = 0.
-828, -8, 2
Factor -2*x**3/3 + 20968*x**2 - 41934*x + 62900/3.
-2*(x - 31450)*(x - 1)**2/3
Solve 7*o**5/3 - 586*o**4/3 - 259*o**3 + 1016*o**2/3 + 340*o/3 = 0.
-2, -2/7, 0, 1, 85
Factor h**4 - 17*h**3 - 103*h**2 - 151*h - 66.
(h - 22)*(h + 1)**2*(h + 3)
Find h such that -2*h**4/3 - 4402*h**3 - 7251178*h**2 + 152763710*h/3 - 87384200 = 0.
-3305, 3, 4
Solve j**5/5 + 6338*j**4/5 + 10048896*j**3/5 + 20072448*j**2/5 = 0.
-3168, -2, 0
Suppose 2*n**5 - 30722*n**4 + 117995518*n**3 - 117934078*n**2 - 117995520*n + 117964800 = 0. Calculate n.
-1, 1, 7680
Suppose 4654*j**3/7 + 2659*j**2 + 18604*j/7 - 12/7 = 0. Calculate j.
-2, 3/4654
Factor -835*g**3/4 - 3115*g**2/4 + 225*g.
-5*g*(g + 4)*(167*g - 45)/4
Determine r, given that 49*r**5 + 2219*r**4 + 27175*r**3 + 123341*r**2 + 188272*r + 90944 = 0.
-29, -7, -8/7
What is q in 35*q**4 - 305*q**3 - 14090*q**2 - 42220*q - 10920 = 0?
-14, -3, -2/7, 26
Suppose d**4/3 - 6866*d**3/3 + 48029*d**2/3 - 109756*d/3 + 27436 = 0. What is d?
2, 3, 6859
Find l, given that -l**2/7 - 1818*l/7 = 0.
-1818, 0
Factor 3*z**3/5 + 462*z**2/5 - 285*z - 1884/5.
3*(z - 4)*(z + 1)*(z + 157)/5
Let 14*k**5 + 96*k**4 - 264*k**3 + 76*k**2 + 186*k - 108 = 0. Calculate k.
-9, -6/7, 1
Solve 2*g**5/3 + 2*g**4 - 44*g**3 + 436*g**2/3 - 170*g + 66 = 0.
-11, 1, 3
Solve -4*x**5 - 32*x**4 + 1904*x**3 - 14360*x**2 + 30356*x - 17864 = 0.
-29, 1, 2, 7, 11
Let -m**4/6 - 76*m**3/3 - 2923*m**2/3 - 43316*m/3 - 148835/2 = 0. Calculate m.
-103, -17, -15
Factor 4*l**4 + 572*l**3 + 4320*l**2.
4*l**2*(l + 8)*(l + 135)
Factor 3*m**3 + 720*m**2 + 46575*m + 396750.
3*(m + 10)*(m + 115)**2
Suppose 4*p**2 - 2060*p + 10200 = 0. What is p?
5, 510
Factor 29*b**2/5 - 8408*b/5 - 116.
(b - 290)*(29*b + 2)/5
Solve -16*k**5/3 - 1316*k**4/3 - 1284*k**3 - 3820*k**2/3 - 1268*k/3 = 0 for k.
-317/4, -1, 0
Determine c so that 18250*c**5/17 + 42750*c**4/17 - 2190*c**3/17 - 4838*c**2/17 + 684*c/17 = 0.
-171/73, -2/5, 0, 1/5
Solve 3*c**4 - 942*c**3 + 65835*c*