4*k - 1)
Factor -2*r**4 - 112*r**3/3 - 24*r**2.
-2*r**2*(r + 18)*(3*r + 2)/3
Factor z**2 - 118*z + 3481.
(z - 59)**2
Suppose 5*f**4 - 250*f**3 - 795*f**2 = 0. What is f?
-3, 0, 53
Factor 5*l**4 - 15*l**3 - 30*l**2 + 140*l - 120.
5*(l - 2)**3*(l + 3)
Factor 3*h**3 + 30*h**2 + 96*h + 96.
3*(h + 2)*(h + 4)**2
Find j, given that 27*j**4/4 + 225*j**3/2 + 1551*j**2/4 - 675*j + 243 = 0.
-9, 2/3
Let 3*z**3 - 228*z**2 + 4551*z - 8214 = 0. What is z?
2, 37
Factor -3*u**2 + 86*u/7 - 8/7.
-(u - 4)*(21*u - 2)/7
What is p in 8*p**4 - 446*p**3 + 1584*p**2 - 1240*p - 416 = 0?
-1/4, 2, 52
Find b, given that -5*b**4/6 + 5*b**3/6 + 55*b**2/3 + 110*b/3 + 20 = 0.
-2, -1, 6
Suppose -2*r**3/3 - 65*r**2/6 - 38*r/3 - 5/2 = 0. Calculate r.
-15, -1, -1/4
Factor -3*q**3 + 48*q**2 - 75*q - 126.
-3*(q - 14)*(q - 3)*(q + 1)
Factor -2*t**3/3 - 260*t**2/3 + 1342*t/3 - 360.
-2*(t - 4)*(t - 1)*(t + 135)/3
Let -3*h**5/8 + 15*h**4/4 - 33*h**3/4 + 3*h**2/2 + 69*h/8 - 21/4 = 0. What is h?
-1, 1, 2, 7
Determine h, given that h**3 + 94*h**2 = 0.
-94, 0
Solve 2*q**3 + 220*q**2 + 5824*q - 12544 = 0.
-56, 2
Suppose 4*d**3 - 5988*d**2 + 11964*d - 5980 = 0. What is d?
1, 1495
Suppose -300*n**2 - 1795*n + 30 = 0. What is n?
-6, 1/60
Solve 2*g**5 + 14*g**4 - 24*g**3 - 56*g**2 + 64*g = 0.
-8, -2, 0, 1, 2
Factor g**2/4 - 85*g/2 - 86.
(g - 172)*(g + 2)/4
Solve -2*b**3/3 + 74*b**2/3 + 140*b = 0 for b.
-5, 0, 42
Factor -c**4 + 2*c**2 - 1.
-(c - 1)**2*(c + 1)**2
Find t such that -285*t**2/2 + 291*t/2 - 3 = 0.
2/95, 1
Factor -3*t**2/5 - 114*t/5 - 216.
-3*(t + 18)*(t + 20)/5
Determine j so that 2*j**2 + 30*j + 28 = 0.
-14, -1
What is a in a**2/7 + 74*a/7 + 1369/7 = 0?
-37
Determine a, given that -2*a**3/13 - 44*a**2/13 + 1894*a/13 - 1848/13 = 0.
-44, 1, 21
Solve -4*q**4 - 160*q**3 - 852*q**2 - 1224*q = 0.
-34, -3, 0
Factor 6*b**2 - 3*b - 165.
3*(b + 5)*(2*b - 11)
Suppose -s**5 + 6*s**4 - 12*s**3 + 8*s**2 = 0. What is s?
0, 2
What is f in -2*f**3/11 + 48*f**2/11 + 2*f/11 - 48/11 = 0?
-1, 1, 24
Solve -8*f**5/9 - 200*f**4/9 + 218*f**3/3 - 500*f**2/9 + 112*f/9 = 0.
-28, 0, 1/2, 2
Suppose 729*z**4/4 - 6723*z**3/4 + 8685*z**2/2 - 1749*z - 3630 = 0. Calculate z.
-2/3, 22/9, 5
Solve -7*a**4/5 + 78*a**3 + 917*a**2/5 + 636*a/5 + 116/5 = 0 for a.
-1, -2/7, 58
Let d**3/5 - 228*d**2/5 + 609*d - 10486/5 = 0. Calculate d.
7, 214
Factor 3*w**5/5 - 12*w**4/5 + 12*w**3/5 + 6*w**2/5 - 3*w + 6/5.
3*(w - 2)*(w - 1)**3*(w + 1)/5
Suppose 2*m**3/5 + 56*m**2/5 + 54*m/5 = 0. What is m?
-27, -1, 0
Factor 4*y**5 - 132*y**4 - 724*y**3 - 1340*y**2 - 1056*y - 304.
4*(y - 38)*(y + 1)**3*(y + 2)
Solve -m**2/5 - 116*m/5 - 228/5 = 0 for m.
-114, -2
Solve -15*q**4 - 6610*q**3 - 43535*q**2 - 58640*q - 21700 = 0.
-434, -5, -1, -2/3
Factor 35*p**2 + 645*p + 270.
5*(p + 18)*(7*p + 3)
Factor x**5 - 3*x**3 + 2*x**2.
x**2*(x - 1)**2*(x + 2)
Factor -2*h**5/15 - 2*h**4/15 + 2*h**3/5 + 2*h**2/3 + 4*h/15.
-2*h*(h - 2)*(h + 1)**3/15
Solve -5*s**2 - 95*s - 420 = 0 for s.
-12, -7
Suppose -5*l**2 - 17110*l - 14637605 = 0. What is l?
-1711
Factor -2*z**4 - 252*z**3 - 8658*z**2 - 45360*z - 64800.
-2*(z + 3)**2*(z + 60)**2
Let -294499921*c**4/2 - 8992364*c**3 - 205932*c**2 - 2096*c - 8 = 0. What is c?
-2/131
Factor -2*z**3/17 + 162*z**2/17 - 4374*z/17 + 39366/17.
-2*(z - 27)**3/17
Determine d, given that -2*d**5 - 32*d**4 - 92*d**3 + 288*d**2 - 162*d = 0.
-9, 0, 1
Find h, given that 21*h**5 + 69*h**4 - 45*h**3 - 249*h**2 - 192*h - 36 = 0.
-3, -1, -2/7, 2
Factor 50*y**4 - 560*y**3 - 472*y**2 - 96*y.
2*y*(y - 12)*(5*y + 2)**2
Factor 2*z**2/5 + 632*z/5 + 49928/5.
2*(z + 158)**2/5
Factor o**3 + 25*o**2 + 136*o + 180.
(o + 2)*(o + 5)*(o + 18)
Factor -5*m**2 + 155*m.
-5*m*(m - 31)
Factor 2*n**2 - 82*n - 264.
2*(n - 44)*(n + 3)
Determine h, given that -2*h**2/9 - 2*h/3 + 8/9 = 0.
-4, 1
Let -2*d**2/17 + 46*d/17 - 44/17 = 0. Calculate d.
1, 22
Factor 14*b**5 + 144*b**4 + 544*b**3 + 928*b**2 + 672*b + 128.
2*(b + 2)**3*(b + 4)*(7*b + 2)
Solve 4*u**3 - 108*u**2 - 3844*u + 3948 = 0 for u.
-21, 1, 47
Factor -5*a**3/6 + 65*a**2/3 - 550*a/3 + 500.
-5*(a - 10)**2*(a - 6)/6
Factor x**2/4 - 416*x.
x*(x - 1664)/4
Suppose -8*c**3/3 - 14*c**2/3 + 124*c/3 - 10 = 0. What is c?
-5, 1/4, 3
What is v in 2*v**5/7 + 16*v**4/7 + 6*v**3 + 36*v**2/7 = 0?
-3, -2, 0
Factor 2*j**2 - 848*j.
2*j*(j - 424)
Determine t so that -2*t**3/3 - 24*t**2 + 2*t/3 + 24 = 0.
-36, -1, 1
Find w, given that -2*w**5/7 + 6*w**4/7 + 6*w**3/7 - 22*w**2/7 + 12*w/7 = 0.
-2, 0, 1, 3
Let -495*q**4/4 + 1077*q**3/2 - 2679*q**2/4 + 177*q - 3 = 0. Calculate q.
1/55, 1/3, 2
Factor 2*z**3/5 - 18*z**2/5 + 54*z/5 - 54/5.
2*(z - 3)**3/5
Factor -3*s**3 - 21*s**2 + 18*s + 216.
-3*(s - 3)*(s + 4)*(s + 6)
Solve -x**3/4 - 31*x**2/4 - 15*x/2 = 0 for x.
-30, -1, 0
Factor -14*v**5 - 88*v**4 - 192*v**3 - 160*v**2 - 32*v.
-2*v*(v + 2)**3*(7*v + 2)
Let -2*l**2/11 + 778*l/11 - 1548/11 = 0. What is l?
2, 387
Factor 2*q**2 - 17300*q + 37411250.
2*(q - 4325)**2
Determine i so that i**3/3 - 5*i**2 - 37*i/3 + 17 = 0.
-3, 1, 17
Factor -3*p**3 + 45*p**2 - 144*p + 132.
-3*(p - 11)*(p - 2)**2
Factor -v**3 + 42*v**2 - 245*v.
-v*(v - 35)*(v - 7)
Find c such that -c**2/2 + 15*c/2 - 13 = 0.
2, 13
Solve -5*b**2 + 14880*b = 0 for b.
0, 2976
Factor 4*k**2 - 4812*k + 4808.
4*(k - 1202)*(k - 1)
Factor u**2/5 - 836*u + 873620.
(u - 2090)**2/5
Determine f, given that -3*f**5 - 123*f**4 - 564*f**3 - 876*f**2 - 432*f = 0.
-36, -2, -1, 0
What is z in -3*z**5 - 8*z**4 + 33*z**3 - 10*z**2 = 0?
-5, 0, 1/3, 2
Factor t**4/5 - 62*t**3/5 + 897*t**2/5 + 1984*t/5 + 1024/5.
(t - 32)**2*(t + 1)**2/5
Solve -4*u**2 - 2000*u - 250000 = 0 for u.
-250
Find w such that -4*w**5 + 20*w**4 + 36*w**3 - 180*w**2 = 0.
-3, 0, 3, 5
Suppose 5*r**3 - 315*r**2 + 4060*r - 6900 = 0. Calculate r.
2, 15, 46
Solve 5*m**4 + 10*m**3 - 20*m**2 - 10*m + 15 = 0 for m.
-3, -1, 1
Solve 2*y**4/15 - 6*y**3/5 - 104*y**2/15 = 0 for y.
-4, 0, 13
Let y**4/2 - y**3 - 21*y**2/2 + 11*y + 20 = 0. Calculate y.
-4, -1, 2, 5
Factor 25*n**4 + 85*n**3 + 80*n**2 + 20*n.
5*n*(n + 1)*(n + 2)*(5*n + 2)
Factor -3*t**3 - 36*t**2 + 39*t.
-3*t*(t - 1)*(t + 13)
Factor 176*v**2/3 - 788*v/3 - 208/3.
4*(4*v + 1)*(11*v - 52)/3
Determine p so that 5*p**2 + 540*p - 545 = 0.
-109, 1
Solve 6*t**4/13 + 2*t**3/13 - 28*t**2/13 - 8*t/13 + 16/13 = 0.
-2, -1, 2/3, 2
Solve 4*l**4 - 56*l**3 + 96*l**2 = 0 for l.
0, 2, 12
Solve -2*h**2/7 - 164*h/7 + 234 = 0.
-91, 9
Factor -7*b**4 + 303*b**3 + 222*b**2 - 88*b.
-b*(b - 44)*(b + 1)*(7*b - 2)
Find d, given that 60*d**2 + 185*d + 15 = 0.
-3, -1/12
Factor -b**3 + 76*b - 240.
-(b - 6)*(b - 4)*(b + 10)
Factor 4*g**5 + 260*g**4 - 2900*g**3 + 7500*g**2.
4*g**2*(g - 5)**2*(g + 75)
Factor 5*d**2 + 19660*d + 19325780.
5*(d + 1966)**2
Factor -5*t**3 + 280*t**2 + 285*t.
-5*t*(t - 57)*(t + 1)
Determine o so that -o**3/2 - 3*o**2/8 + o/2 + 3/8 = 0.
-1, -3/4, 1
Solve -y**4/2 + 21*y**3/8 - 37*y**2/8 + 3*y - 1/2 = 0.
1/4, 1, 2
Suppose -x**5/3 + x**4/3 + 2*x**3 - 4*x**2/3 - 8*x/3 = 0. What is x?
-2, -1, 0, 2
Find b, given that -72*b**5/7 + 6*b**4/7 + 22*b**3/7 + 4*b**2/7 = 0.
-1/3, -1/4, 0, 2/3
Factor -2*u**3 - 12*u**2 + 192*u - 448.
-2*(u - 4)**2*(u + 14)
Factor 3*m**2 + 708*m + 41772.
3*(m + 118)**2
Determine h so that 2*h**3/5 + 2*h**2 + 16*h/5 + 8/5 = 0.
-2, -1
Find m, given that m**4/3 - 17*m**3 - m**2/3 + 17*m = 0.
-1, 0, 1, 51
Find v such that -42*v**4 + 423*v**3/2 - 9*v**2/2 - 15*v = 0.
-1/4, 0, 2/7, 5
Suppose 4*u**3 - 56*u**2 + 220*u - 168 = 0. What is u?
1, 6, 7
Factor o**2/12 + o/3.
o*(o + 4)/12
Solve -4*t**2 + 328*t + 2880 = 0.
-8, 90
Suppose 3*o**3 - 36*o**2 - 81*o + 1458 = 0. Calculate o.
-6, 9
Solve -3*t**4/7 + 180*t**3/7 - 3450*t**2/7 + 22500*t/7 - 46875/7 = 0.
5, 25
Find v, given that -3*v**4/2 - 63*v**3 - 1971*v**2/2 - 6804*v - 17496 = 0.
-12, -9
Factor -25*l**3 - 210*l**2 - 255*l - 70.
-5*(l + 1)*(l + 7)*(5*l + 2)
Suppose -4*a**2 + 148*a + 480 = 0. What is a?
-3, 40
Let 2*n**5 - 14*n**4 + 20*n**3 + 4*n**2 - 22*n + 10 = 0. What is n?
-1, 1, 5
Determine x, given that 3721*x**5/10 + 3477*x**4/5 - 4681*x**3/10 - 3461*x**2/5 + 96*x - 16/5 = 0.
-2, -1, 4/61, 1
Determine l so that l**3/4 - 9*l**2/4 - 21*l/4 - 11/4 = 0.
-1, 11
Determine o so that -117014402*o**2/11 + 61192*o/11 - 8/11 = 0.
2/7649
Factor -4*b**4 - 4*b**3 + 48*b**2 + 112*b + 64.
-4*(b - 4)*(b + 1)*(b + 2)**2
Suppose 5*t**3 