 - 123*c**3 + 525*c**2 + 16875*c.
3*c*(c - 25)**2*(c + 9)
Factor 5*h**4 + 741195*h**3 + 36623927310*h**2 + 603171662396900*h - 1809844622549160.
5*(h - 3)*(h + 49414)**3
Let 3*i**3 + 30798*i**2 - 123228*i + 123240 = 0. What is i?
-10270, 2
Find m such that m**3 - 7334*m**2 + 7333*m = 0.
0, 1, 7333
Find q, given that q**5/5 - 1521*q**4/5 + 796847*q**3/5 - 166049359*q**2/5 + 11850573648*q/5 + 12017421376/5 = 0.
-1, 193, 568
Solve 6*n**5/7 + 1989*n**4/7 + 1983*n**3/7 = 0 for n.
-661/2, -1, 0
Factor -140*g**3 + 1552*g**2 + 1548*g - 144.
-4*(g - 12)*(g + 1)*(35*g - 3)
Determine s, given that 2*s**5/13 + 640*s**4/13 + 25850*s**3/13 - 4031620*s**2/13 + 84240640*s/13 - 152571904/13 = 0.
-193, 2, 32
Factor 5*n**4 - 420*n**3 - 4410*n**2 + 555660*n + 8751645.
5*(n - 63)**2*(n + 21)**2
Determine y so that -5*y**2 + 56720*y - 170115 = 0.
3, 11341
Factor w**5 - 12020*w**4 - 108231*w**3 - 360826*w**2 - 529252*w - 288696.
(w - 12029)*(w + 2)**3*(w + 3)
Find r such that 3*r**3 + 315621*r**2 - 1262520*r + 1262532 = 0.
-105211, 2
Factor -2*p**2/3 + 13606*p/3 + 31780.
-2*(p - 6810)*(p + 7)/3
Solve -2*i**2/3 - 712*i/3 + 1432/3 = 0 for i.
-358, 2
Factor -3*r**4 + 12429*r**3 - 24846*r**2.
-3*r**2*(r - 4141)*(r - 2)
Determine z so that 5*z**2 + 5424920*z + 1471487850320 = 0.
-542492
Factor 3*s**4 - 78*s**3 + 747*s**2 - 3120*s + 4800.
3*(s - 8)**2*(s - 5)**2
What is j in 20*j**2 + 126484*j + 25296 = 0?
-6324, -1/5
Find d such that -d**5/4 - 41*d**4/4 - 207*d**3/4 + 1061*d**2/4 + 52*d - 255 = 0.
-34, -10, -1, 1, 3
Factor 4*a**2 - 10805808*a + 7297842908304.
4*(a - 1350726)**2
Factor h**2/2 - 20843*h.
h*(h - 41686)/2
Let -3*d**3 + 18*d**2 - 15*d = 0. Calculate d.
0, 1, 5
Solve -4*o**2 + 71760*o + 287104 = 0.
-4, 17944
Determine m, given that m**2/3 + 86*m/3 - 176/3 = 0.
-88, 2
Suppose j**4/4 + 3*j**3/2 - 39*j**2 + 253*j/2 - 357/4 = 0. Calculate j.
-17, 1, 3, 7
Solve 14*p**4/15 + 2594*p**3/15 + 108022*p**2/15 - 1154882*p/15 - 112908/5 = 0.
-97, -2/7, 9
Determine m so that 2*m**5/9 - 1004*m**4/9 - 22*m**3/9 + 11008*m**2/9 + 18056*m/9 + 8032/9 = 0.
-2, -1, 4, 502
Find m such that m**4/9 - 19*m**3/9 - 950*m**2/9 + 5876*m/3 + 6760 = 0.
-30, -3, 26
Factor 1957*p**2/5 + 3778*p/5 - 272/5.
(p + 2)*(1957*p - 136)/5
What is u in 6*u**5 + 14810*u**4/3 + 3051974*u**3/3 + 757618*u**2 - 6299808*u + 1351368 = 0?
-411, -3, 2/9, 2
Suppose -62*z**4/17 + 49038*z**3/17 - 45444*z**2/17 - 297016*z/17 - 18960/17 = 0. What is z?
-2, -2/31, 3, 790
Factor s**3/4 + 3*s**2/4 - 2249*s/2 + 3360.
(s - 64)*(s - 3)*(s + 70)/4
Factor 243675*u**5 - 12918195*u**4 + 181272*u**3 - 636*u**2.
3*u**2*(u - 53)*(285*u - 2)**2
Factor 5*p**3 + 3390*p**2 + 366445*p + 1068960.
5*(p + 3)*(p + 131)*(p + 544)
Let 4*q**4 - 868*q**3 + 42732*q**2 - 233388*q + 338688 = 0. What is q?
3, 64, 147
Solve 5*g**4 + 1330*g**3 - 8640*g**2 - 131680*g - 304640 = 0 for g.
-272, -4, 14
Let 2*r**3/7 - 48588*r**2/7 + 97170*r/7 - 48584/7 = 0. Calculate r.
1, 24292
Determine v, given that -2*v**3 + 6264*v**2 - 6250*v - 37572 = 0.
-2, 3, 3131
Determine v, given that -75*v**5/4 - 7935*v**4 + 154932*v**3 - 385332*v**2 + 235932*v - 42432 = 0.
-442, 2/5, 2, 16
Find n, given that -6*n**4 + 40155*n**3 - 67194372*n**2 + 33587148*n = 0.
0, 1/2, 3346
Let 2*d**4/9 - 42872*d**3/9 + 76555096*d**2/3 + 919175680*d/9 + 919347200/9 = 0. What is d?
-2, 10720
Suppose -2*n**5 + 220*n**4 - 3954*n**3 + 7256*n**2 - 3520*n = 0. What is n?
0, 1, 20, 88
Suppose 5*y**2 + 231035*y + 462050 = 0. What is y?
-46205, -2
What is o in 4*o**4 + 7450*o**3 - 3726*o**2 = 0?
-1863, 0, 1/2
Factor -2*f**2 - 67564*f - 570611762.
-2*(f + 16891)**2
Factor 5*b**3 + 385*b**2 - 3365*b + 2975.
5*(b - 7)*(b - 1)*(b + 85)
Find n such that -n**5/7 - 2040*n**4/7 - 1745*n**3 - 22380*n**2/7 - 12204*n/7 = 0.
-2034, -3, -2, -1, 0
Suppose -5*f**4 + 25465*f**3 - 279670*f**2 + 813260*f - 711480 = 0. Calculate f.
2, 7, 5082
Factor 2*c**3/3 - 32*c**2/3 - 38*c/3 + 68/3.
2*(c - 17)*(c - 1)*(c + 2)/3
Find y such that -2*y**5 - 2210*y**4 - 613806*y**3 - 1812790*y**2 + 2428808*y = 0.
-551, -4, 0, 1
Determine a, given that 2*a**3/7 + 11174*a**2/7 + 22306*a + 78022 = 0.
-5573, -7
Factor -i**4/5 + 10321*i**3/5 - 26615272*i**2/5 - 79938732*i/5.
-i*(i - 5162)**2*(i + 3)/5
Suppose -2*m**4/5 + 472*m**3/5 + 2100*m**2 + 74872*m/5 + 176302/5 = 0. Calculate m.
-7, 257
Determine k, given that 2*k**2/9 - 7084*k/9 + 4720/3 = 0.
2, 3540
Factor -5*a**2 + 6470*a - 370200.
-5*(a - 1234)*(a - 60)
Suppose -s**2 + 15534*s + 279936 = 0. What is s?
-18, 15552
Factor 3*l**2/7 + 15429*l/7.
3*l*(l + 5143)/7
Solve 5*t**3 - 1130*t**2 + 45600*t - 512640 = 0.
24, 178
Factor -o**4/2 + 477*o**3 - 248413*o**2/2 + 4980834*o - 54517682.
-(o - 454)**2*(o - 23)**2/2
Find b, given that -6*b**5 - 67875*b**4 + 169740*b**3 + 169710*b**2 - 169734*b - 101835 = 0.
-11315, -1, -1/2, 1, 3
Factor -2*w**2/7 + 22460*w/7 - 63056450/7.
-2*(w - 5615)**2/7
Let -y**5/6 - 547*y**4/6 - 54103*y**3/6 - 497783*y**2/2 = 0. What is y?
-429, -59, 0
Factor t**3 - 551*t**2 - 18689*t + 19239.
(t - 583)*(t - 1)*(t + 33)
Let 3*b**4 - 3086*b**3 - 696785*b**2 - 35582184*b + 24032052 = 0. What is b?
-99, 2/3, 1226
Solve -r**2/3 + 15112*r/3 - 57093136/3 = 0 for r.
7556
Solve 4*n**2 - 216*n - 18400 = 0 for n.
-46, 100
Solve n**4 + 209*n**3/5 - 47*n**2/5 - 209*n/5 + 42/5 = 0 for n.
-42, -1, 1/5, 1
Let q**4/3 + 21931*q**3/3 + 53436099*q**2 + 130152505635*q - 260518814154 = 0. What is q?
-7311, 2
Let d**5 - 76*d**4 + 498*d**3 - 1044*d**2 + 621*d = 0. Calculate d.
0, 1, 3, 69
Let -2*t**5/17 + 6*t**4 - 356*t**3/17 - 28416*t**2/17 + 28672*t/17 = 0. Calculate t.
-14, 0, 1, 32
Factor 4*s**5 + 1696*s**4 + 3380*s**3 + 1688*s**2.
4*s**2*(s + 1)**2*(s + 422)
Let -2*o**5/17 - 140*o**4/17 - 1682*o**3/17 + 17944*o**2/17 - 24416*o/17 - 43904/17 = 0. What is o?
-49, -28, -1, 4
Factor 900*d**3 - 667560*d**2 - 178064*d - 11872.
4*(d - 742)*(15*d + 2)**2
Factor 5*z**2 + 18055*z + 162090.
5*(z + 9)*(z + 3602)
Solve -3*u**5 - 291*u**4 - 1863*u**3 + 2451*u**2 + 1866*u - 2160 = 0 for u.
-90, -8, -1, 1
Factor l**2/7 - 101006*l/7 + 2550553009/7.
(l - 50503)**2/7
Solve -2*t**3 + 547994*t**2 - 1095982*t + 547990 = 0 for t.
1, 273995
Factor 3*c**3 - 258*c**2 - 801*c.
3*c*(c - 89)*(c + 3)
Factor -2*k**3 - 3318*k**2 - 1377798*k - 1374482.
-2*(k + 1)*(k + 829)**2
Solve 5*d**5/2 + 2765*d**4 + 1534555*d**3/2 + 1520755*d**2 - 767280*d - 1523520 = 0.
-552, -2, -1, 1
Find k, given that 14*k**3/5 + 144*k**2/5 - 506*k/5 - 156/5 = 0.
-13, -2/7, 3
Find j, given that 5*j**4 + 85*j**3 - 1715*j**2 - 29665*j - 51870 = 0.
-21, -13, -2, 19
Let 268*x**3/3 + 2048*x**2 - 21364*x/3 + 520 = 0. What is x?
-26, 5/67, 3
Factor -2*q**4/3 - 1246*q**3/3 - 92340*q**2 - 25197800*q/3 - 727054000/3.
-2*(q + 53)*(q + 190)**3/3
Solve 4*c**5 - 2148*c**4 + 6420*c**3 - 6412*c**2 + 2136*c = 0 for c.
0, 1, 534
Factor -5*r**2 + 2220*r - 6615.
-5*(r - 441)*(r - 3)
Solve -4*n**5 + 54*n**4 - 449*n**3/4 + 43*n**2/2 + 141*n/4 + 11/2 = 0 for n.
-1/4, 1, 2, 11
Solve 2*v**3/7 - 182286*v**2/7 + 593347440*v + 4153614368/7 = 0 for v.
-1, 45572
Factor -s**3 - 961*s**2 - 3832*s - 3828.
-(s + 2)**2*(s + 957)
Factor 4*p**2 - 800*p + 11100.
4*(p - 185)*(p - 15)
Let -5*n**2 - 225*n - 2520 = 0. What is n?
-24, -21
Solve -3*u**4 + 348*u**3 - 10305*u**2 - 41796*u + 3018060 = 0 for u.
-15, 23, 54
Factor 2*u**2/7 - 30*u/7 - 4028/7.
2*(u - 53)*(u + 38)/7
Let -2*p**2/5 - 664*p/5 - 25344/5 = 0. What is p?
-288, -44
What is u in -3*u**2 + 185178*u - 740664 = 0?
4, 61722
Factor -4*t**2 + 896*t + 1808.
-4*(t - 226)*(t + 2)
Determine m so that -3*m**3/2 - 3165*m**2 - 3717651*m/2 - 193667958 = 0.
-989, -132
Determine d so that -d**3 + 5649*d**2 - 22584*d + 22580 = 0.
2, 5645
Factor 2*t**3 - 196*t**2 - 22718*t - 470936.
2*(t - 172)*(t + 37)**2
What is t in 25*t**5/3 + 3815*t**4/3 - 3088*t**3 + 1860*t**2 = 0?
-155, 0, 6/5
Let 5*i**4 - 295*i**3 + 3670*i**2 + 1180*i - 14760 = 0. Calculate i.
-2, 2, 18, 41
Determine y, given that 12*y**3 + 37710*y**2 - 75429*y/4 + 9429/4 = 0.
-3143, 1/4
Factor -5*b**2 + 23005*b - 23000.
-5*(b - 4600)*(b - 1)
Factor -8*u**4/11 - 696*u**3/11 + 702*u**2/11 - 16*u.
-2*u*(u + 88)*(2*u - 1)**2/11
Find v, given that 2*v**5/5 - 254*v**4/5 + 5994*v**3/5 + 19526*v**2/5 + 20044*v/5 + 6768/5 = 0.
-1, 36, 94
Factor r**2/10 - 60141*r/5 + 3616939881/10.
(