1585*k**3 + 385*k**2 + 305*k + 25 = 0. Calculate k.
-5, -1/4, -1/10, 1
Factor -2*y**2 + 1774*y + 1776.
-2*(y - 888)*(y + 1)
Factor s**4/4 - s**3 - 3*s**2/4 + 5*s/2 + 2.
(s - 4)*(s - 2)*(s + 1)**2/4
Solve h**5/3 + 4*h**4/3 + h**3/3 - 14*h**2/3 - 20*h/3 - 8/3 = 0.
-2, -1, 2
Factor 3*h**4 + 336*h**3 + 10362*h**2 + 53424*h + 75843.
3*(h + 3)**2*(h + 53)**2
Factor 9*z**3/7 - 66*z**2/7 - 48*z/7.
3*z*(z - 8)*(3*z + 2)/7
Solve -w**4/8 + 109*w**3/4 - 12721*w**2/8 + 11445*w - 22050 = 0.
4, 105
What is d in -d**2/4 + 43*d/4 - 21/2 = 0?
1, 42
Find l, given that -2*l**2/21 - 1076*l/21 = 0.
-538, 0
Determine h, given that 35*h**5 + 2530*h**4 - 1835*h**3 - 730*h**2 = 0.
-73, -2/7, 0, 1
Factor -2*s**2/5 - 4*s + 112/5.
-2*(s - 4)*(s + 14)/5
Let 4*j**3 + 276*j**2 - 4*j - 276 = 0. What is j?
-69, -1, 1
Factor -4*z**3 + 360*z**2 - 10800*z + 108000.
-4*(z - 30)**3
What is a in 2*a**2 + 10*a + 12 = 0?
-3, -2
What is o in -30*o**5/7 + 332*o**4/7 - 1138*o**3/7 + 212*o**2 - 792*o/7 + 144/7 = 0?
2/5, 2/3, 1, 3, 6
Factor 3*v**3 + 72*v**2 + 252*v + 240.
3*(v + 2)**2*(v + 20)
Determine p, given that -3*p**4/5 - 17*p**3/5 - 9*p**2/5 + p = 0.
-5, -1, 0, 1/3
Factor 3*a**3/2 - 75*a**2/2 + 33*a + 72.
3*(a - 24)*(a - 2)*(a + 1)/2
Let 4*s**5 + 24*s**4 + 52*s**3 + 48*s**2 + 16*s = 0. What is s?
-2, -1, 0
Factor -3*r**2/8 - 39*r/4 + 171.
-3*(r - 12)*(r + 38)/8
Factor -5*r**3 + 1618*r**2 - 130572*r - 52488.
-(r - 162)**2*(5*r + 2)
Let -3*n**2/8 - 27*n/4 + 189/8 = 0. What is n?
-21, 3
Determine x so that -2*x**2/5 - 158*x/5 + 324/5 = 0.
-81, 2
Factor -a**2 - 195*a + 196.
-(a - 1)*(a + 196)
Suppose -4*c**3 + 1564*c**2 + 3140*c + 1572 = 0. What is c?
-1, 393
Factor 3*c**5/4 + 3*c**4 - 3*c**3/2 - 9*c**2 + 27*c/4.
3*c*(c - 1)**2*(c + 3)**2/4
Factor -3*f**3/5 - 36*f**2/5 + 189*f + 2430.
-3*(f - 18)*(f + 15)**2/5
Factor -3*m**4 + 39*m**3 + 549*m**2 + 1065*m - 1650.
-3*(m - 22)*(m - 1)*(m + 5)**2
Factor -4*q**3 - 1728*q**2 + 10492*q - 8760.
-4*(q - 5)*(q - 1)*(q + 438)
Solve 5*k**4 + 65*k**3 + 300*k**2 + 580*k + 400 = 0.
-5, -4, -2
Suppose -5*r**2 - 20*r - 15 = 0. Calculate r.
-3, -1
Find n, given that -2*n**2/17 + 98*n/17 + 1464/17 = 0.
-12, 61
Find l such that -2*l**2 + 96*l - 94 = 0.
1, 47
Let 5*j**2 + 180*j - 380 = 0. What is j?
-38, 2
Determine q so that -2*q**2/9 + 484*q - 263538 = 0.
1089
Suppose j**5 + 10*j**4 - 3*j**3 - 32*j**2 - 20*j = 0. Calculate j.
-10, -1, 0, 2
What is m in -m**4 - 31*m**3 + m**2 + 31*m = 0?
-31, -1, 0, 1
Factor 3*k**3/7 + 390*k**2 + 88725*k.
3*k*(k + 455)**2/7
Solve -2*z**4 - 82*z**3 - 158*z**2 - 78*z = 0 for z.
-39, -1, 0
What is l in 2*l**4 + 14*l**3 - 10*l**2 - 150*l = 0?
-5, 0, 3
Factor -l**4/3 + 20*l**3/3 - 74*l**2/3 - 308*l/3 + 121.
-(l - 11)**2*(l - 1)*(l + 3)/3
Factor -p**5/2 + 3*p**3/2 - p**2.
-p**2*(p - 1)**2*(p + 2)/2
Let -2*r**2/7 + 586*r/7 - 2312/7 = 0. What is r?
4, 289
Factor -2*g**3 - 86*g**2 - 84*g.
-2*g*(g + 1)*(g + 42)
Factor y**5/2 + 8*y**4 + 73*y**3/2 + 9*y**2 - 162*y + 108.
(y - 1)**2*(y + 6)**3/2
Factor -2*y**4/3 - 118*y**3/3 + 242*y**2/3 - 122*y/3.
-2*y*(y - 1)**2*(y + 61)/3
Factor -h**2/8 + 9*h/8 + 35/4.
-(h - 14)*(h + 5)/8
Determine s so that -2*s**5 - 8*s**4 + 24*s**3 + 64*s**2 - 128*s = 0.
-4, 0, 2
Find q, given that -2*q**2/7 - 138*q/7 - 1368/7 = 0.
-57, -12
Factor 5*x**3 + 20*x**2 - 20*x - 80.
5*(x - 2)*(x + 2)*(x + 4)
Let -2*q**2 - 488*q - 29768 = 0. What is q?
-122
Determine a so that 4*a**4 + 568*a**3 = 0.
-142, 0
Factor -3*s**2 - 54*s - 135.
-3*(s + 3)*(s + 15)
Factor 5*o**3 - 40*o**2 + 55*o + 100.
5*(o - 5)*(o - 4)*(o + 1)
Solve 2*n**3/11 + 18624*n**2/11 + 57808896*n/11 + 59812937728/11 = 0.
-3104
Factor d**5/3 - 125*d**4/3 - 2*d**3 + 758*d**2/3 - 1003*d/3 + 125.
(d - 125)*(d - 1)**3*(d + 3)/3
Factor 3*f**3 - 4*f**2 - f + 2.
(f - 1)**2*(3*f + 2)
Factor 4*g**3 - 896*g**2 + 50176*g.
4*g*(g - 112)**2
Factor -2*k**2/5 + 20*k - 602/5.
-2*(k - 43)*(k - 7)/5
What is z in -26*z**5/9 + 41*z**4/3 - 61*z**3/3 + 88*z**2/9 - 4*z/3 = 0?
0, 3/13, 1/2, 2
Find j such that 26*j**4/3 - 376*j**3/9 + 238*j**2/9 + 76*j/9 - 16/9 = 0.
-1/3, 2/13, 1, 4
Factor -1893*u**4 + 6*u**3.
-3*u**3*(631*u - 2)
Factor -4*s**4 + 4*s**3 + 4*s**2 - 4*s.
-4*s*(s - 1)**2*(s + 1)
Factor 2*v**5/7 - 806*v**4/7 + 104348*v**3/7 - 3789140*v**2/7 - 9930994*v - 37598666.
2*(v - 139)**3*(v + 7)**2/7
Let -z**4 - 22*z**3 - 85*z**2 = 0. Calculate z.
-17, -5, 0
Factor -t**2 - 13*t - 12.
-(t + 1)*(t + 12)
Factor c**2/4 + 209*c/4 + 309/2.
(c + 3)*(c + 206)/4
What is y in -y**3/2 + 219*y**2 - 31974*y + 1556068 = 0?
146
Solve 5*g**4 + 495*g**3 + 1455*g**2 + 1445*g + 480 = 0 for g.
-96, -1
Suppose i**2 + 43*i = 0. Calculate i.
-43, 0
Factor 3*g**3/2 - 26*g**2 + 143*g/2 - 21.
(g - 14)*(g - 3)*(3*g - 1)/2
What is v in -v**3/3 + 46*v**2/3 + 145*v/3 + 98/3 = 0?
-2, -1, 49
Factor -3*w**3/7 + 45*w**2/7 + 351*w/7 + 81.
-3*(w - 21)*(w + 3)**2/7
Factor 4*c**2 + 6460*c + 6456.
4*(c + 1)*(c + 1614)
Find s such that -3*s**4 + 3*s**3 + 9*s**2 - 3*s - 6 = 0.
-1, 1, 2
Suppose z**3/4 + 11*z**2/4 - 7*z/2 - 6 = 0. Calculate z.
-12, -1, 2
What is v in 3*v**3/5 - 219*v**2/5 - 447*v/5 - 45 = 0?
-1, 75
Factor m**2 - 17342*m + 75186241.
(m - 8671)**2
Factor 2*v**4 + 60*v**3 - 286*v**2 - 11040*v + 67712.
2*(v - 8)**2*(v + 23)**2
What is a in 5*a**4 - 65*a**3 - 1505*a**2 + 65*a + 1500 = 0?
-12, -1, 1, 25
Let -245*n**4 + 35*n**3 + 1635*n**2 + 1305*n + 270 = 0. Calculate n.
-2, -3/7, 3
Let -3*y**2/8 - 1137*y/8 = 0. Calculate y.
-379, 0
Find m, given that 2*m**3/5 - 314*m**2/5 + 12166*m/5 + 12482/5 = 0.
-1, 79
Factor 5*h**2 + 180*h + 175.
5*(h + 1)*(h + 35)
Determine d, given that -2*d**3/5 - 1894*d**2/5 - 3782*d/5 - 378 = 0.
-945, -1
Suppose 2*q**2 - 1956*q = 0. What is q?
0, 978
Factor -59*d**2/2 - 9*d.
-d*(59*d + 18)/2
Suppose -i**2/5 + 302*i/5 - 22801/5 = 0. Calculate i.
151
Factor -b**4/2 + b**3/2 + 63*b**2/2 + 243*b/2 + 135.
-(b - 10)*(b + 3)**3/2
Factor 100*p**4 + 455*p**3 + 216*p**2 - 20*p - 16.
(p + 4)*(4*p - 1)*(5*p + 2)**2
Solve 3*l**2 + 276*l + 6348 = 0.
-46
Find d such that -2*d**4 + 8*d**3 - 10*d**2 + 4*d = 0.
0, 1, 2
Let -n**3/3 + 15*n**2 - 189*n + 441 = 0. Calculate n.
3, 21
Factor -3*p**2 - 129*p - 126.
-3*(p + 1)*(p + 42)
Let -3*q**5 - 12*q**4 + 9*q**3 + 66*q**2 + 12*q - 72 = 0. Calculate q.
-3, -2, 1, 2
Factor -3*m**3/5 + 222*m**2/5.
-3*m**2*(m - 74)/5
Let 4*d**3 - 28*d**2 + 8*d + 160 = 0. What is d?
-2, 4, 5
Find j, given that 5*j**4/2 + 10*j**3 - 15*j**2/2 - 25*j + 20 = 0.
-4, -2, 1
Determine w, given that w**5 + 3*w**4 - 11*w**3 - 51*w**2 - 62*w - 24 = 0.
-3, -2, -1, 4
Let 24*z**5/5 - 362*z**4/5 - 36*z**3/5 + 942*z**2/5 + 712*z/5 + 24 = 0. What is z?
-1, -2/3, -1/4, 2, 15
Factor 2*f**3/7 + 56*f**2 - 170*f + 796/7.
2*(f - 2)*(f - 1)*(f + 199)/7
Suppose -k**4 + 10868*k**3 - 44292534*k**2 + 80228543252*k - 54495238003921 = 0. What is k?
2717
Suppose -5*i**2/2 + 200*i + 405/2 = 0. What is i?
-1, 81
Suppose -q**3 + 7*q - 6 = 0. What is q?
-3, 1, 2
Let 2*q**2/5 - 2944*q/5 + 1083392/5 = 0. What is q?
736
Find y, given that 5*y**2 + 25*y - 180 = 0.
-9, 4
Factor -4*f**2 + 496*f - 1452.
-4*(f - 121)*(f - 3)
Factor -5*z**4 - 4355*z**3/4 + 545*z**2/2.
-5*z**2*(z + 218)*(4*z - 1)/4
Solve 5*s**2/4 + 25*s/4 + 5 = 0.
-4, -1
Factor c**2/11 - 233*c/11 - 470/11.
(c - 235)*(c + 2)/11
Suppose -t**5 + 19*t**4 + t**3 - 19*t**2 = 0. Calculate t.
-1, 0, 1, 19
Solve -4*y**3/3 - 32*y**2/3 - 80*y/3 - 64/3 = 0.
-4, -2
Find r, given that -4*r**4 + 32*r**3 + 40*r**2 - 32*r - 36 = 0.
-1, 1, 9
Factor 4*b**2/3 - 8*b - 36.
4*(b - 9)*(b + 3)/3
Determine q, given that -3*q**2 + 45*q + 162 = 0.
-3, 18
Suppose 9*k**4/2 - 3*k**3/4 - 27*k**2/2 + 45*k/4 - 3/2 = 0. Calculate k.
-2, 1/6, 1
Factor -4*b**4 + 296*b**3 - 1140*b**2 + 1408*b - 560.
-4*(b - 70)*(b - 2)*(b - 1)**2
Factor 3*k**2/7 - 4584*k/7 + 1751088/7.
3*(k - 764)**2/7
Find f, given that -f**2/4 + 19*f + 237/4 = 0.
-3, 79
What is w in 126*w**4 + 219*w**3 + 57*w**2 - 39*w - 3 = 0?
-1, -1/14, 1/3
Suppose 3*j**3 - 33*j**2 - 120*j - 84 = 0. What is j?
-2, -1, 14
Let -2*a**3/9 - 16*a**2/9 - 38*a/9 - 8/3 = 0. Calculate a.
-4, -3, -1
Let 4*x**3 - 4*x**2 - 100*x + 100 = 0. Calculate x.
-5, 1, 5
What is w in -5*w**2 + 700*w - 6500 = 0?
10, 130
Factor 53*x**2/2 + 31*x + 9/2.
(x + 1)*(53*x + 9)/2
What is f in 3*f**4 - 297*f**3 + 291*f**2 + 297*f - 294 = 0?
-1, 1, 98
Factor -2*m