h**5 - 25*h**4 - 125*h**3 + 625*h**2 = 0. Calculate h.
-5, 0, 5
What is p in -5*p**2 - 35*p + 220 = 0?
-11, 4
Let -96*k**3 + 1000*k**2 - 2308*k + 516 = 0. Calculate k.
1/4, 3, 43/6
Factor 2*s**3/11 + 182*s**2/11 - 952*s/11 + 768/11.
2*(s - 4)*(s - 1)*(s + 96)/11
Suppose -4*r**5 - 32*r**4 + 148*r**3 + 176*r**2 = 0. Calculate r.
-11, -1, 0, 4
Determine w so that 2*w**4 + 45*w**3/2 + 51*w**2/2 + 5*w = 0.
-10, -1, -1/4, 0
Factor 2*c**4/3 - 76*c**3/3 + 280*c**2/3 - 272*c/3.
2*c*(c - 34)*(c - 2)**2/3
Suppose f**4 + 36*f**3 - f**2 - 36*f = 0. What is f?
-36, -1, 0, 1
Solve i**4/4 + 5*i**3/4 - 47*i**2/4 + 39*i/4 + 45/2 = 0 for i.
-10, -1, 3
Factor -3*f**3 + 2736*f**2 - 831744*f + 84283392.
-3*(f - 304)**3
Let -3*h**5/5 + 141*h**4/5 - 273*h**3/5 + 27*h**2 = 0. What is h?
0, 1, 45
Solve -2*z**4 - 196*z**3 - 5632*z**2 - 38720*z = 0.
-44, -10, 0
Determine r so that -r**2/10 - 29*r/10 + 17 = 0.
-34, 5
Solve 2*v**3/3 - 44*v**2 + 1846*v/3 + 660 = 0.
-1, 22, 45
Let -3*x**4/5 - 37*x**3 + 251*x**2/5 - 63*x/5 = 0. What is x?
-63, 0, 1/3, 1
Factor -m**4/4 - m**3 - 3*m**2/4 + m + 1.
-(m - 1)*(m + 1)*(m + 2)**2/4
Determine h, given that -16*h**4 + 296*h**3 + 471*h**2 + 179*h + 20 = 0.
-1, -1/4, 20
Suppose -3*h**3 + 279*h**2 + 3672*h + 11340 = 0. Calculate h.
-6, 105
Determine k, given that 3*k**4 - 9*k**3 + 6*k**2 = 0.
0, 1, 2
Solve 3*v**4/5 - 39*v**3/5 - 12*v**2/5 + 156*v/5 = 0 for v.
-2, 0, 2, 13
Find c such that 128*c**5/5 - 864*c**4 - 10174*c**3/5 - 6948*c**2/5 - 1294*c/5 - 72/5 = 0.
-1, -1/8, 36
Find q, given that -5*q**4 + 20*q**3 - 15*q**2 = 0.
0, 1, 3
Factor 5*m**3 + 120*m**2 + 315*m.
5*m*(m + 3)*(m + 21)
Determine h so that -2*h**2 + 208*h - 408 = 0.
2, 102
Let 4*u**3 - 1292*u**2 - 1296*u = 0. What is u?
-1, 0, 324
Factor -2*n**2/3 + 16444*n/3 - 33800642/3.
-2*(n - 4111)**2/3
Factor -2*u**5 - 198*u**4 - 5190*u**3 - 14402*u**2 - 14016*u - 4608.
-2*(u + 1)**3*(u + 48)**2
Factor -6*i**2/13 + 1264*i/13 + 422/13.
-2*(i - 211)*(3*i + 1)/13
Factor -w**3/2 + 51*w**2 + 207*w/2 + 52.
-(w - 104)*(w + 1)**2/2
Suppose 12*g**5 - 64*g**4 + 60*g**3 + 120*g**2 - 112*g - 96 = 0. Calculate g.
-1, -2/3, 2, 3
Factor -22*z**2 - 298*z + 140.
-2*(z + 14)*(11*z - 5)
Solve w**5/11 - w**4/11 - 6*w**3/11 + 4*w**2/11 + 8*w/11 = 0 for w.
-2, -1, 0, 2
Determine w so that -w**2/3 - 17*w = 0.
-51, 0
Solve -m**5/8 - m**4/2 + 5*m**3/8 + 5*m**2/2 - m/2 - 2 = 0.
-4, -2, -1, 1, 2
Factor v**5/5 + 3*v**4/5 - v**3/5 - 11*v**2/5 - 12*v/5 - 4/5.
(v - 2)*(v + 1)**3*(v + 2)/5
Factor -3*c**3 + 456*c**2 - 3045*c.
-3*c*(c - 145)*(c - 7)
Find o, given that o**5/6 + 5*o**4/6 - 5*o**3/2 - 5*o**2/6 + 7*o/3 = 0.
-7, -1, 0, 1, 2
Solve -3*c**2 + 75*c - 342 = 0 for c.
6, 19
What is z in -100*z**4 + 1480*z**3 + 3964*z**2 - 3856*z + 816 = 0?
-3, 2/5, 17
Solve y**4/6 - 242*y**3/3 + 29282*y**2/3 = 0.
0, 242
Factor -3*v**3 + 746*v**2 + 251*v - 498.
-(v - 249)*(v + 1)*(3*v - 2)
Factor 484*o**4/3 + 1628*o**3/3 + 544*o**2/3 + 16*o.
4*o*(o + 3)*(11*o + 2)**2/3
Factor -2*g**3/7 + 606*g**2/7.
-2*g**2*(g - 303)/7
Factor -2*t**2 - 19384*t - 46967432.
-2*(t + 4846)**2
Solve 32*t**5/15 + 8*t**4/3 - 24*t**3/5 - 18*t**2/5 + 18*t/5 = 0 for t.
-3/2, 0, 3/4, 1
Let -a**2 + 2817*a - 2816 = 0. Calculate a.
1, 2816
Factor -7*g**3/11 - 27*g**2/11 - 24*g/11 + 4/11.
-(g + 2)**2*(7*g - 1)/11
Factor -a**2/2 - 180*a.
-a*(a + 360)/2
Suppose 5*h**2 - 150*h = 0. Calculate h.
0, 30
Factor -g**3 - 11*g**2/2 + 7*g/2 + 3.
-(g - 1)*(g + 6)*(2*g + 1)/2
Let 3*s**4 + 87*s**3 + 672*s**2 + 588*s = 0. Calculate s.
-14, -1, 0
Factor k**4 - 3*k**3 + 3*k**2 - k.
k*(k - 1)**3
Factor -5*s**3 - 7845*s**2 + 15705*s - 7855.
-5*(s - 1)**2*(s + 1571)
Factor 10*m**3/9 + 32*m**2/9 - 2*m/9 - 8/3.
2*(m + 1)*(m + 3)*(5*m - 4)/9
Determine x, given that 5*x**3 - 65*x - 60 = 0.
-3, -1, 4
Factor -2*q**2/5 - 1164*q/5 - 169362/5.
-2*(q + 291)**2/5
Suppose -4*p**4 - 680*p**3 - 28212*p**2 + 58480*p - 29584 = 0. Calculate p.
-86, 1
Find a such that 20*a**5/13 - 54*a**4/13 - 38*a**3/13 + 54*a**2/13 + 18*a/13 = 0.
-1, -3/10, 0, 1, 3
Factor -2*p**4 + 48*p**3 + 52*p**2 - 48*p - 50.
-2*(p - 25)*(p - 1)*(p + 1)**2
Factor 41*g**4/6 + 22*g**3 + 25*g**2 + 34*g/3 + 3/2.
(g + 1)**3*(41*g + 9)/6
Factor 3*l**3 + 4620*l**2 + 1774071*l - 3566646.
3*(l - 2)*(l + 771)**2
Factor t**4/6 - t**3 + 3*t**2/2 + 2*t/3 - 2.
(t - 3)*(t - 2)**2*(t + 1)/6
Factor p**3 - 377*p**2 + 751*p - 375.
(p - 375)*(p - 1)**2
Suppose 75*j**5/2 - 80*j**4 - 405*j**3 + 510*j**2 - 65*j/2 - 30 = 0. Calculate j.
-3, -1/5, 1/3, 1, 4
Let i**2/3 - 58*i/3 - 728 = 0. Calculate i.
-26, 84
Factor 5*o**4 + 125*o**3 + 235*o**2 + 115*o.
5*o*(o + 1)**2*(o + 23)
Find g such that 33*g**3/2 - 96*g**2 + 261*g/2 + 27 = 0.
-2/11, 3
Factor 3*r**2 - 54*r + 243.
3*(r - 9)**2
Factor 4*c**3 + 40*c**2 - 52*c - 88.
4*(c - 2)*(c + 1)*(c + 11)
Let 2*y**3/13 + 24*y**2/13 + 58*y/13 + 36/13 = 0. What is y?
-9, -2, -1
Find m such that -3*m**3/2 - 15*m**2/2 + 6*m + 30 = 0.
-5, -2, 2
Factor -3*m**3/5 - 3*m**2/5 + 48*m/5 + 48/5.
-3*(m - 4)*(m + 1)*(m + 4)/5
Factor -5*t**2 + 435*t - 430.
-5*(t - 86)*(t - 1)
Factor -2*b**3/15 + 572*b**2/15 - 2688*b - 27648/5.
-2*(b - 144)**2*(b + 2)/15
Factor b**2/4 + 21*b/4 - 221/2.
(b - 13)*(b + 34)/4
Let 2*z**3/3 + 202*z**2/3 - 68*z = 0. Calculate z.
-102, 0, 1
Determine y, given that 3*y**5/2 + 90*y**4 + 2697*y**3/2 - 90*y**2 - 1350*y = 0.
-30, -1, 0, 1
Factor b**3/3 - 34*b**2/3 - 157*b/3 + 190/3.
(b - 38)*(b - 1)*(b + 5)/3
Let 5*f**2 + 950*f + 945 = 0. Calculate f.
-189, -1
What is z in -2*z**2/11 - 23252*z/11 - 67581938/11 = 0?
-5813
Factor -3*x**5 + 162*x**4 - 2688*x**3 + 3072*x**2 + 294912*x - 1966080.
-3*(x - 16)**4*(x + 10)
Suppose 5*r**3 + 3805*r**2 + 725800*r + 722000 = 0. Calculate r.
-380, -1
Determine q so that 3*q**2/2 - 45*q/2 - 51 = 0.
-2, 17
Factor -3*n**5 - 15*n**4 + 42*n**3.
-3*n**3*(n - 2)*(n + 7)
Factor -5*f**2 - 880*f - 38720.
-5*(f + 88)**2
Factor 2*v**3/3 + 56*v**2 + 1176*v.
2*v*(v + 42)**2/3
Factor -l**2/4 + 25*l/2.
-l*(l - 50)/4
Factor -3*o**5 + 36*o**4 + 48*o**3 - 102*o**2 - 189*o - 78.
-3*(o - 13)*(o - 2)*(o + 1)**3
Determine n so that 5*n**4 - 115*n**3 - 245*n**2 - 125*n = 0.
-1, 0, 25
Factor -w**2/4 - 11*w/2 + 23/4.
-(w - 1)*(w + 23)/4
Solve 4*t**3/5 - 1296*t**2/5 - 260*t = 0 for t.
-1, 0, 325
Suppose -7*c**4 + 19*c**3 + 76*c**2 + 20*c = 0. What is c?
-2, -2/7, 0, 5
Factor q**5 + 4*q**4 - 3*q**3 - 18*q**2.
q**2*(q - 2)*(q + 3)**2
Suppose 27*f**5 + 144*f**4 + 291*f**3 + 282*f**2 + 132*f + 24 = 0. What is f?
-2, -1, -2/3
Factor -2*g**2/11 - 10*g/11 + 168/11.
-2*(g - 7)*(g + 12)/11
Suppose -r**2/2 - 43*r/2 + 22 = 0. Calculate r.
-44, 1
Factor -2*g**3/7 - 48*g**2/7 - 226*g/7 - 180/7.
-2*(g + 1)*(g + 5)*(g + 18)/7
Suppose 2*y**4 - 16*y**3 - 20*y**2 + 16*y + 18 = 0. What is y?
-1, 1, 9
Find o such that -5*o**4 + 880*o**3 + 2670*o**2 + 2680*o + 895 = 0.
-1, 179
Let -2*m**2/15 + 8*m/3 + 88/15 = 0. Calculate m.
-2, 22
What is y in -3*y**2 + 56*y - 784/3 = 0?
28/3
Let 3*c**4 + 57*c**3 - 9*c**2 - 165*c + 114 = 0. Calculate c.
-19, -2, 1
Find l, given that 13*l**3/3 + 200*l**2 + 2323*l + 1058/3 = 0.
-23, -2/13
Find g, given that g**4 - 300*g**3 + 20950*g**2 + 232500*g + 600625 = 0.
-5, 155
Solve o**5 + 26*o**4 - 84*o**3 + 86*o**2 - 29*o = 0.
-29, 0, 1
Factor 4*h**3 - 2408*h**2.
4*h**2*(h - 602)
Factor -2*d**4 + 8*d**3 - 6*d**2 - 8*d + 8.
-2*(d - 2)**2*(d - 1)*(d + 1)
Factor 5*v**4 - 150*v**3 - 5*v**2 + 150*v.
5*v*(v - 30)*(v - 1)*(v + 1)
Let -5*x**5/2 + 25*x**4 - 105*x**3/2 - 10*x**2 + 70*x = 0. Calculate x.
-1, 0, 2, 7
Solve 2*w**3 - 184*w**2 + 4576*w - 15488 = 0.
4, 44
Determine k so that k**5 + 116*k**4 - 986*k**3 + 752*k**2 + 985*k - 868 = 0.
-124, -1, 1, 7
Factor -r**3/2 + 33*r**2/2 - 63*r/2 + 31/2.
-(r - 31)*(r - 1)**2/2
What is d in -2*d**3/13 + 16*d**2/13 - 14*d/13 = 0?
0, 1, 7
Solve -5*i**3 - 35*i**2 + 5*i + 35 = 0 for i.
-7, -1, 1
Solve -4*c**2 + 2644*c - 5272 = 0 for c.
2, 659
Suppose -9*k**2 + 15*k + 24 = 0. What is k?
-1, 8/3
Factor -2*m**2/5 + 48*m/5.
-2*m*(m - 24)/5
Let 4*n**2 + 340*n + 4200 = 0. Calculate n.
-70, -15
Factor -2*l**4/9 + 14*l**3/9 - 10*l**2/3 + 26*l/9 - 8/9.
-2*(l - 4)*(l - 1)**3/9
Suppose 507*j**3/4 - 3471*j**2/4 - 543*j/4 - 21/4 = 0. Calculate j.
-1/13, 7
Find c such that -8*c**4 + 10*c**3 + 56*c**2 - 88*c = 0.
-11/4, 0, 2
Factor -22*h**2/7 - 2*h + 8/7.
-2*(h + 1)*(11*