**4/3 - 18*z**3 + 176*z**2/3 - 40*z = 0.
-30, 0, 1, 2
Factor s**2/5 + 193*s/5 - 1194/5.
(s - 6)*(s + 199)/5
Factor 3*l**2/2 - 771*l/4 + 96.
3*(l - 128)*(2*l - 1)/4
Factor 10*h**3/11 - 8*h**2/11 - 2*h - 4/11.
2*(h - 2)*(h + 1)*(5*h + 1)/11
Determine s, given that -4*s**4 - 296*s**3 - 2448*s**2 - 7128*s - 7020 = 0.
-65, -3
Factor 4*q**5/7 + 460*q**4/7 - 6096*q**3/7.
4*q**3*(q - 12)*(q + 127)/7
Factor 2*h**3/3 - 2*h**2 - 8*h/3.
2*h*(h - 4)*(h + 1)/3
Find y such that -3*y**5/4 - 5*y**4 + 9*y**3/4 + 7*y**2/2 = 0.
-7, -2/3, 0, 1
Let 2*u**4/5 + 24*u**3/5 + 22*u**2/5 - 120*u - 360 = 0. Calculate u.
-6, -5, 5
Let -4*z**2 - 1196*z - 1192 = 0. What is z?
-298, -1
Suppose -2*n**2/9 - 16*n/9 + 40/9 = 0. What is n?
-10, 2
Determine w so that -2*w**4/7 - 1790*w**3/7 - 399612*w**2/7 + 57856*w + 114688 = 0.
-448, -1, 2
What is m in -2*m**3/7 + 22*m**2/7 - 76*m/7 + 80/7 = 0?
2, 4, 5
Find q such that -3*q**2/7 + 264*q/7 = 0.
0, 88
Let -5*h**3 - 1260*h**2 - 105840*h - 2963520 = 0. What is h?
-84
What is f in -3*f**2 + 36*f + 135 = 0?
-3, 15
Factor -6*c**5 - 250*c**4 - 3444*c**3 - 15288*c**2 + 5488*c.
-2*c*(c + 14)**3*(3*c - 1)
Solve -3*b**5 + 446*b**4/5 - 3656*b**3/5 + 4752*b**2/5 + 2576*b/5 - 1568/5 = 0 for b.
-2/3, 2/5, 2, 14
Suppose -3*u**4/2 - 15*u**3 - 27*u**2/2 = 0. Calculate u.
-9, -1, 0
Find o such that 4*o**2 - 816*o + 1616 = 0.
2, 202
Solve 2*d**5 - 499*d**4 + 740*d**3 + 995*d**2 - 742*d - 496 = 0 for d.
-1, -1/2, 1, 2, 248
Find u such that 5*u**5 + 70*u**4 + 70*u**3 - 1180*u**2 + 1845*u - 810 = 0.
-9, 1, 2
Factor -13*f**3/3 - 29*f**2/3 - 19*f/3 - 1.
-(f + 1)**2*(13*f + 3)/3
Factor -4*y**4 - 64*y**3 - 208*y**2 - 192*y.
-4*y*(y + 2)**2*(y + 12)
Factor -2*s**3/7 - 42*s**2 - 2058*s - 33614.
-2*(s + 49)**3/7
Factor 2*o**2/21 - 8*o/3 + 56/3.
2*(o - 14)**2/21
Factor w**4/4 - 5*w**3/4 - 21*w**2/2 - 19*w - 10.
(w - 10)*(w + 1)*(w + 2)**2/4
Find s such that 2*s**2/15 + 32*s/15 + 32/5 = 0.
-12, -4
Suppose 4*r**5/13 - 14*r**4/13 + 2*r**3/13 + 32*r**2/13 - 24*r/13 = 0. Calculate r.
-3/2, 0, 1, 2
Let 4*t**4 - 4*t**3 - 40*t**2 - 32*t = 0. Calculate t.
-2, -1, 0, 4
Factor -c**3/4 + c**2 + c - 4.
-(c - 4)*(c - 2)*(c + 2)/4
Let -3*c**5/5 + 1494*c**4/5 - 246492*c**3/5 + 13219386*c**2/5 + 41917167*c/5 = 0. Calculate c.
-3, 0, 167
Factor -w**5/5 + 21*w**4/5 - 4*w**3.
-w**3*(w - 20)*(w - 1)/5
Suppose x**4/5 + 3*x**3/5 - 9*x**2/5 + x = 0. Calculate x.
-5, 0, 1
Factor -2*g**4 + 32*g**3 - 174*g**2 + 368*g - 224.
-2*(g - 7)*(g - 4)**2*(g - 1)
Suppose 2*h**4/5 - 2*h**3 - 84*h**2/5 - 152*h/5 - 16 = 0. Calculate h.
-2, -1, 10
Solve 5*o**4 - 7840*o**3 - 23550*o**2 - 23560*o - 7855 = 0.
-1, 1571
Suppose 5*p**2 - 130*p + 125 = 0. Calculate p.
1, 25
Solve 2*f**4/3 + 10*f**3/3 + 4*f**2 = 0.
-3, -2, 0
Find n, given that -2*n**5/13 + 58*n**4/13 - 436*n**3/13 + 56*n**2/13 + 2352*n/13 = 0.
-2, 0, 3, 14
Find d, given that -d**5/4 + 31*d**4/2 - 227*d**3/2 + 303*d**2 - 1305*d/4 + 243/2 = 0.
1, 3, 54
Solve -3*r**4 + 66*r**3 - 345*r**2 + 450*r = 0 for r.
0, 2, 5, 15
Factor -s**3 - 2*s**2 + 11*s + 12.
-(s - 3)*(s + 1)*(s + 4)
Factor 2*m**2/9 - 16*m/9 + 14/9.
2*(m - 7)*(m - 1)/9
Determine a, given that -a**2/3 + 8*a/3 - 4 = 0.
2, 6
Factor i**2/10 + 17*i/2 - 210.
(i - 20)*(i + 105)/10
Factor -2*r**3 - 1598*r**2 - 319998*r - 318402.
-2*(r + 1)*(r + 399)**2
Find w such that 2*w**5/3 + 4*w**4/3 - 10*w**3/3 - 20*w**2/3 + 8*w/3 + 16/3 = 0.
-2, -1, 1, 2
Determine t, given that 4*t**2/5 - 860*t + 4296/5 = 0.
1, 1074
Solve 5*f**4/3 + 7*f**3/3 - f**2/3 - f = 0.
-1, 0, 3/5
Factor 2*p**3/3 + 2*p**2/3 - 28*p/3 - 16.
2*(p - 4)*(p + 2)*(p + 3)/3
Determine a, given that a**4 + 388*a**3 + 56454*a**2 + 3650692*a + 88529281 = 0.
-97
Suppose -5*w**4 + 3390*w**3 - 772800*w**2 + 60712960*w - 337182720 = 0. What is w?
6, 224
Determine f so that -2*f**3/17 - 20*f**2/17 + 274*f/17 - 252/17 = 0.
-18, 1, 7
Suppose w**2 + 35*w - 114 = 0. What is w?
-38, 3
Solve -2*f**4 - 20*f**3 + 106*f**2 - 84*f = 0 for f.
-14, 0, 1, 3
Factor -x**4 - 2067*x**3 - 1424163*x**2 - 327082769*x.
-x*(x + 689)**3
Factor 2*q**2/9 - 58*q/9 + 12.
2*(q - 27)*(q - 2)/9
Factor -p**4/3 - p**3 + 2*p**2/3 + 4*p + 8/3.
-(p - 2)*(p + 1)*(p + 2)**2/3
Let 4*a**5/7 - 16*a**4/7 - 12*a**3/7 + 8*a**2 - 32*a/7 = 0. Calculate a.
-2, 0, 1, 4
Find d, given that 5*d**4 + 25*d**3 - 385*d**2 + 495*d + 900 = 0.
-12, -1, 3, 5
Factor -2*a**4/5 + 12*a**3/5 - 18*a**2/5 + 8*a/5.
-2*a*(a - 4)*(a - 1)**2/5
Factor h**2/7 + 3492*h/7 + 3048516/7.
(h + 1746)**2/7
Factor 3*r**3 + 14553*r**2 + 17656425*r + 17641875.
3*(r + 1)*(r + 2425)**2
Factor -t**2/2 - 5*t/2 + 3.
-(t - 1)*(t + 6)/2
Find r such that 5*r**2 + 920*r - 925 = 0.
-185, 1
Factor 2*z**2/7 - 50*z/7 + 48/7.
2*(z - 24)*(z - 1)/7
Suppose -2*n**2/13 - 114*n/13 + 360/13 = 0. What is n?
-60, 3
Let 2*a**5/9 - 22*a**4/9 + 10*a**3/3 + 62*a**2/9 - 64*a/9 - 8 = 0. What is a?
-1, 2, 9
Factor p**2 - 18*p + 17.
(p - 17)*(p - 1)
Let -10*x**3 + 384*x**2 - 152*x = 0. What is x?
0, 2/5, 38
Let 2*g**3 - 148*g**2 + 2738*g = 0. What is g?
0, 37
Suppose i**2 - 10*i + 25 = 0. What is i?
5
Suppose -3*l**5/8 + l**4/4 + 3*l**3/2 - l**2 = 0. Calculate l.
-2, 0, 2/3, 2
Solve 8*r**4 - 6*r**3 - 42*r**2 - 34*r - 6 = 0.
-1, -1/4, 3
What is c in -4*c**3 - 336*c**2 - 9408*c - 87808 = 0?
-28
Factor 3*z**5 + 111*z**4 + 315*z**3 + 309*z**2 + 102*z.
3*z*(z + 1)**3*(z + 34)
Let -4*g**5/7 + 44*g**4/7 - 136*g**3/7 + 8*g**2 + 20*g - 100/7 = 0. Calculate g.
-1, 1, 5
Factor -2*q**2/11 - 152*q/11 - 150/11.
-2*(q + 1)*(q + 75)/11
Let q**4 + 6*q**3 + 11*q**2 + 6*q = 0. Calculate q.
-3, -2, -1, 0
Solve -4*k**3 + 7216*k**2 - 7212*k = 0.
0, 1, 1803
Suppose -2*i**2 - 20*i + 112 = 0. Calculate i.
-14, 4
Factor 64*d**3/5 + 134*d**2/5 - 36*d - 18/5.
2*(d - 1)*(d + 3)*(32*d + 3)/5
Determine q, given that -2*q**3/9 + 4*q**2/3 - 10*q/9 - 8/3 = 0.
-1, 3, 4
What is j in -2*j**4/9 + 4*j**3 - 10*j**2/3 - 68*j/9 = 0?
-1, 0, 2, 17
Factor l**4 - 17*l**3 + 85*l**2 - 159*l + 90.
(l - 10)*(l - 3)**2*(l - 1)
Let -5*l**5 + 280*l**4 + 15*l**3 - 850*l**2 + 560*l = 0. Calculate l.
-2, 0, 1, 56
Find b such that 5*b**3 + 130*b**2 - 5*b - 130 = 0.
-26, -1, 1
Factor 2*f**3/3 + 448*f**2/3 + 8510*f + 16428.
2*(f + 2)*(f + 111)**2/3
Factor 2*z**2/19 + 232*z/19 + 6728/19.
2*(z + 58)**2/19
Factor -5*h**2 - 10920*h - 10915.
-5*(h + 1)*(h + 2183)
Let -4*z**3/5 - 4*z**2/5 + 16*z/5 + 16/5 = 0. Calculate z.
-2, -1, 2
Factor -2*y**2/5 + 2116*y/5 - 559682/5.
-2*(y - 529)**2/5
Factor -5*d**4 + 15225*d**3 - 45645*d**2 + 45635*d - 15210.
-5*(d - 3042)*(d - 1)**3
Solve -2*q**5 - 8*q**4 - 2*q**3 + 12*q**2 = 0.
-3, -2, 0, 1
Determine w, given that -3*w**3/5 - 78*w**2/5 - 213*w/5 - 138/5 = 0.
-23, -2, -1
Factor l**2/2 - 610*l + 186050.
(l - 610)**2/2
Factor 908*b**2 + 2728*b + 12.
4*(b + 3)*(227*b + 1)
Factor -16*v**2 + 784*v - 9604.
-4*(2*v - 49)**2
Factor 27*f**2 + 330*f - 273.
3*(f + 13)*(9*f - 7)
Let -5*y**4/2 + 105*y**3/2 - 195*y**2/2 + 95*y/2 = 0. What is y?
0, 1, 19
Determine j so that -49*j**5/8 - 7*j**4/2 + 339*j**3/8 + 245*j**2/4 + 49*j/2 + 3 = 0.
-2, -1, -2/7, 3
Factor 3*s**2 - 48*s + 189.
3*(s - 9)*(s - 7)
Find g such that g**2 + 84*g = 0.
-84, 0
Factor -16*s**3 + 52*s**2 - 44*s + 8.
-4*(s - 2)*(s - 1)*(4*s - 1)
Let -18*d**5/7 - 158*d**4/7 - 90*d**3/7 + 190*d**2/7 + 108*d/7 - 32/7 = 0. Calculate d.
-8, -1, 2/9, 1
Determine f, given that -3*f**3/2 + 57*f**2/2 + 33*f - 60 = 0.
-2, 1, 20
Find z such that -2*z**2/5 - 24*z/5 + 506/5 = 0.
-23, 11
Factor h**2/4 - 5*h/8 - 75/4.
(h - 10)*(2*h + 15)/8
Let -4*k**2/3 - 15008*k/3 - 14077504/3 = 0. What is k?
-1876
Determine h so that h**4 - 14*h**3 + 60*h**2 - 72*h = 0.
0, 2, 6
Solve -z**2/8 + 21*z/8 = 0.
0, 21
What is z in 7*z**5/3 + 89*z**4/3 - 257*z**3/3 - 83*z**2 + 30*z = 0?
-15, -1, 0, 2/7, 3
Find x such that 6*x**2 - 3*x - 3 = 0.
-1/2, 1
Factor -j**5 + 8*j**4 - 13*j**3 - 26*j**2 + 64*j - 32.
-(j - 4)**2*(j - 1)**2*(j + 2)
Factor 5*a**3 - 50*a**2 - 765*a - 1710.
5*(a - 19)*(a + 3)*(a + 6)
Determine z so that -2*z**4 + 290*z**3 - 11696*z**2 + 83232*z = 0.
0, 9, 68
Determine b so that -3*b**2/7 - 15*b/7 - 12/7 = 0.
-4, -1
Let a**3/7 + 96*a**2/7 - 195*a/7 + 14 = 0. What is a?
-98, 1
What is c in 2*c**5 + 22*c**4 + 84*c**3 + 140*c**2 + 106*c + 30 = 0?
-5, -3, -1
Factor -26*w**3/11 - 422*w**2/11 - 160*w - 384/11.
-2*(w + 8)**2*(13*w + 3)/11
What is q in q**3 - q