w - 48.
(w - 12)*(w - 2)**2
Factor 4*o**3 + 3112*o**2 + 617540*o + 4743200.
4*(o + 8)*(o + 385)**2
Factor -s**5/4 + 2*s**4 - 25*s**3/4 + 19*s**2/2 - 7*s + 2.
-(s - 2)**3*(s - 1)**2/4
Factor -2*n**4/5 + 504*n**3/5 - 300*n**2 + 1496*n/5 - 498/5.
-2*(n - 249)*(n - 1)**3/5
Solve -125*h**4 + 910*h**3 - 1280*h**2 - 1440*h = 0 for h.
-18/25, 0, 4
Factor 3*p**2 - 6*p + 3.
3*(p - 1)**2
Suppose -2*a**3 + 208*a**2 - 5408*a = 0. What is a?
0, 52
Factor -u**2 + 1010*u/3 + 337/3.
-(u - 337)*(3*u + 1)/3
Factor -3*f**4 - 12*f**3 + 81*f**2 + 210*f - 600.
-3*(f - 4)*(f - 2)*(f + 5)**2
Find u such that -u**5/5 - 6*u**4/5 - u**3 = 0.
-5, -1, 0
What is b in 16*b**4/11 + 780*b**3/11 + 8994*b**2/11 - 12800*b/11 - 3750/11 = 0?
-25, -1/4, 3/2
Solve -5*v**5 + 15*v**3 + 10*v**2 = 0 for v.
-1, 0, 2
Find d such that -5*d**4 - 37*d**3 - 64*d**2 - 20*d = 0.
-5, -2, -2/5, 0
Find o, given that 3*o**3 - 24*o**2 - 117*o + 810 = 0.
-6, 5, 9
Factor -8*b**2/7 + 158*b/7 + 166/7.
-2*(b + 1)*(4*b - 83)/7
Factor -t**3/8 + 7*t**2/2 - 205*t/8 + 225/4.
-(t - 18)*(t - 5)**2/8
Let 5*a**5 + 50*a**4 - 185*a**3 + 130*a**2 = 0. Calculate a.
-13, 0, 1, 2
Determine z so that 36*z**5/7 + 620*z**4/7 + 1612*z**3/7 - 284*z**2/7 - 1648*z/7 - 48 = 0.
-14, -3, -1, -2/9, 1
What is z in 4*z**4 - 116*z**3 + 216*z**2 = 0?
0, 2, 27
Factor -5*s**2 - 80*s - 315.
-5*(s + 7)*(s + 9)
Factor -c**2 + 212*c - 11236.
-(c - 106)**2
Factor 10*p**4 + 14*p**3 - 16*p**2 - 8*p.
2*p*(p - 1)*(p + 2)*(5*p + 2)
Factor -o**3/5 + 101*o**2/5 + 41*o + 103/5.
-(o - 103)*(o + 1)**2/5
Let -2*u**5/5 - 6*u**4/5 + 2*u**3/5 + 22*u**2/5 + 24*u/5 + 8/5 = 0. Calculate u.
-2, -1, 2
Find j, given that -3*j**3 + 15*j**2 + 3*j - 15 = 0.
-1, 1, 5
Solve -4*n**3/7 + 240*n**2/7 + 1548*n/7 + 2376/7 = 0.
-3, 66
Determine v so that 14*v**3 + 228*v**2 + 904*v + 240 = 0.
-10, -6, -2/7
Factor 5*t**4 + 200*t**3 + 2395*t**2 + 7900*t - 10500.
5*(t - 1)*(t + 10)**2*(t + 21)
Find z such that z**2 - 10*z - 336 = 0.
-14, 24
Solve -3*q**4 + 39*q**3 - 99*q**2 - 231*q + 294 = 0.
-2, 1, 7
Find d, given that d**5/2 + 2*d**4 - 36*d**3 + 128*d**2 - 184*d + 96 = 0.
-12, 2
Factor -3*o**3 - 9*o**2 + 27*o - 15.
-3*(o - 1)**2*(o + 5)
Solve -c**3 - 201*c**2 = 0.
-201, 0
Solve -2*u**5 + 1554*u**4 + 1556*u**3 = 0.
-1, 0, 778
Find i such that 441*i**5/5 - 987*i**4/5 + 162*i**3/5 + 108*i**2/5 - 24*i/5 = 0.
-1/3, 0, 2/7, 2
Determine m, given that -3*m**2 - 15*m + 18 = 0.
-6, 1
What is w in 4*w**3/3 + 68*w**2/3 + 220*w/3 + 52 = 0?
-13, -3, -1
Solve 3*l**3/4 - 325*l**2 + 433*l/4 = 0.
0, 1/3, 433
Solve -10*m**2/13 + 252*m/13 - 704/13 = 0.
16/5, 22
Find h, given that -h**4/3 - 5*h**3/3 - 5*h**2/3 + 5*h/3 + 2 = 0.
-3, -2, -1, 1
Factor 2*t**2/13 - 170*t/13 + 1988/13.
2*(t - 71)*(t - 14)/13
Factor -5*x**2 - 50*x + 280.
-5*(x - 4)*(x + 14)
Find i, given that 2*i**3 + 28*i**2 + 48*i = 0.
-12, -2, 0
Let -4*j**4/9 + 104*j**3 - 6084*j**2 = 0. What is j?
0, 117
Suppose -128*s**4/15 - 15328*s**3/15 - 26546*s**2/15 - 898*s - 708/5 = 0. What is s?
-118, -1, -3/8
Factor 4*l**2 + 12960*l + 10497600.
4*(l + 1620)**2
Solve 4*z**2 - 556*z + 4680 = 0.
9, 130
Factor -3*l**4 + 75*l**3 + 3*l**2 - 75*l.
-3*l*(l - 25)*(l - 1)*(l + 1)
Let j**3 - 77*j**2/3 + 118*j/3 + 16 = 0. What is j?
-1/3, 2, 24
Let -4*k**2 - 2824*k - 498436 = 0. What is k?
-353
Factor -5*z**3 - 105*z**2 + 225*z - 115.
-5*(z - 1)**2*(z + 23)
Factor 5*b**4 - 15*b**3 - 360*b**2 + 1460*b - 1440.
5*(b - 8)*(b - 2)**2*(b + 9)
Solve 4*l**2 - 2044*l/3 - 2056/3 = 0.
-1, 514/3
Factor n**3/7 + 41*n**2/7 - 981*n/7 + 4779/7.
(n - 9)**2*(n + 59)/7
Suppose -2*k**2/9 + 4*k/3 - 10/9 = 0. Calculate k.
1, 5
Suppose c**4 + 57*c**3 + 162*c**2 - 4*c - 216 = 0. What is c?
-54, -2, 1
Suppose -3*d**5 + 483*d**4 - 5430*d**3 + 9582*d**2 + 37401*d + 21903 = 0. What is d?
-1, 7, 149
Factor -5*u**3/6 + 17*u**2/6 - u/2 - 3/2.
-(u - 3)*(u - 1)*(5*u + 3)/6
Find b, given that -b**3/6 - 14*b**2/3 + 299*b/6 + 1587 = 0.
-23, 18
Factor 4*h**4/5 - 288*h**3/5 + 6624*h**2/5 - 10368*h + 25920.
4*(h - 30)**2*(h - 6)**2/5
Let -2*a**5/3 + 16*a**3/3 - 4*a**2 - 14*a/3 + 4 = 0. Calculate a.
-3, -1, 1, 2
Factor -2*w**3/3 + 1058*w**2/3 - 2098*w + 3138.
-2*(w - 523)*(w - 3)**2/3
Suppose 25*p**2/4 + 37*p/4 - 13/2 = 0. Calculate p.
-2, 13/25
Suppose 2*m**5/5 - 88*m**4/5 + 1238*m**3/5 - 5688*m**2/5 + 4536*m/5 = 0. Calculate m.
0, 1, 7, 18
Factor -35*r**3 + 220*r**2 - 340*r + 80.
-5*(r - 4)*(r - 2)*(7*r - 2)
Factor 5*b**3 + 15*b**2 + 10*b.
5*b*(b + 1)*(b + 2)
Suppose -5*x**4 + 255*x**3 - 1185*x**2 + 1625*x - 690 = 0. Calculate x.
1, 3, 46
Let 2*o**4/9 + 52*o**3/3 + 338*o**2 = 0. Calculate o.
-39, 0
Determine a so that 2*a**5 - 20*a**4 + 16*a**3 + 20*a**2 - 18*a = 0.
-1, 0, 1, 9
Factor -2268*k**3 - 2664*k**2 - 1024*k - 128.
-4*(7*k + 2)*(9*k + 4)**2
Let 16*d**3 + 268*d**2 + 188*d - 64 = 0. What is d?
-16, -1, 1/4
Factor 4*b**5/7 - 44*b**4/7 + 40*b**3/7.
4*b**3*(b - 10)*(b - 1)/7
Factor 462*j**2 - 5553*j + 108.
3*(j - 12)*(154*j - 3)
What is q in -2*q**5/5 + 18*q**4/5 - 52*q**3/5 + 68*q**2/5 - 42*q/5 + 2 = 0?
1, 5
Solve 2*v**2/13 - 3340*v/13 + 1394450/13 = 0 for v.
835
Let -4*o**2 + 376*o + 380 = 0. What is o?
-1, 95
Determine g, given that -4*g**4 - 170*g**3/9 + 30*g**2 - 40*g/9 - 8/3 = 0.
-6, -2/9, 1/2, 1
Factor 4*y**2 - 24*y - 288.
4*(y - 12)*(y + 6)
What is a in 3*a**3/4 + 87*a**2/4 + 81*a/2 = 0?
-27, -2, 0
Find d such that -2*d**4/7 - 94*d**3/7 + 320*d**2/7 + 1000*d/7 = 0.
-50, -2, 0, 5
Suppose s**2/6 + 8*s - 49/6 = 0. Calculate s.
-49, 1
Find l, given that -4*l**3 + 600*l**2 + 604*l = 0.
-1, 0, 151
Suppose -3*y**4 + 3*y**3 + 63*y**2 - 123*y + 60 = 0. Calculate y.
-5, 1, 4
Let -5*l**3 + 315*l**2 - 2775*l - 75295 = 0. What is l?
-11, 37
Find i such that -3*i**3 - 174*i**2 = 0.
-58, 0
Let -c**5 - 12*c**4 - 22*c**3 + 84*c**2 - 49*c = 0. What is c?
-7, 0, 1
Solve c**2 + 4980*c + 6200100 = 0 for c.
-2490
Find p such that 9*p**5 - 51*p**4 + 102*p**3 - 84*p**2 + 24*p = 0.
0, 2/3, 1, 2
Factor 4*l**3 + 27*l**2 + 17*l - 6.
(l + 1)*(l + 6)*(4*l - 1)
Factor a**2/4 + 599*a + 358801.
(a + 1198)**2/4
Factor -2*y**4/7 - 422*y**3/7 + 1278*y**2/7 - 1282*y/7 + 428/7.
-2*(y - 1)**3*(y + 214)/7
Factor -4*k**2/3 + 220*k/3 - 1504/3.
-4*(k - 47)*(k - 8)/3
Factor 3*d**4 - 39*d**3 + 45*d**2 + 219*d + 132.
3*(d - 11)*(d - 4)*(d + 1)**2
Let -2*n**3/3 + 52*n**2/3 - 130*n/3 - 184/3 = 0. Calculate n.
-1, 4, 23
Suppose 2*o**2/9 + 140*o/9 - 32 = 0. Calculate o.
-72, 2
Let 3*t**3/2 - 42*t**2 - 597*t/2 - 255 = 0. What is t?
-5, -1, 34
Determine d so that -d**2 + 6*d - 8 = 0.
2, 4
Factor -z**2/6 + 116*z/3 - 77/2.
-(z - 231)*(z - 1)/6
Suppose -27*p**5/7 - 3*p**4 + 6*p**3/7 = 0. Calculate p.
-1, 0, 2/9
Factor i**3/3 - 17*i**2/3 + 74*i/3 - 88/3.
(i - 11)*(i - 4)*(i - 2)/3
Factor -5*l**2 - 9090*l - 4131405.
-5*(l + 909)**2
Find l such that 5*l**3 - 115*l**2 + 715*l - 605 = 0.
1, 11
Solve -2*o**4 + 64*o**3 - 60*o**2 - 64*o + 62 = 0 for o.
-1, 1, 31
Find h, given that 7*h**2/4 - 18*h + 5 = 0.
2/7, 10
Factor 5*r**5 - 80*r**4 + 145*r**3 - 70*r**2.
5*r**2*(r - 14)*(r - 1)**2
Factor z**5 - 18*z**4 + 108*z**3 - 238*z**2 + 147*z.
z*(z - 7)**2*(z - 3)*(z - 1)
Factor z**3/2 - 43*z**2/2 + 220*z + 242.
(z - 22)**2*(z + 1)/2
Let -5*a**5 + 135*a**4 - 1080*a**3 + 2160*a**2 = 0. Calculate a.
0, 3, 12
Factor -y**2/7 + 506*y/7 - 64009/7.
-(y - 253)**2/7
Determine f, given that 2*f**4/5 - 16*f**3/5 + 36*f**2/5 - 32*f/5 + 2 = 0.
1, 5
Determine f so that 40*f**5 + 4*f**4 - 40*f**3 - 4*f**2 = 0.
-1, -1/10, 0, 1
Determine z so that 3*z**3/4 + 5*z**2 - 11*z/4 - 7 = 0.
-7, -1, 4/3
Let z**4/5 + z**3 - 13*z**2/5 + 7*z/5 = 0. Calculate z.
-7, 0, 1
Factor -5*h**3 - 4255*h**2 - 4250*h.
-5*h*(h + 1)*(h + 850)
Factor 5*q**2 + 11765*q + 11760.
5*(q + 1)*(q + 2352)
Factor 4*d**3 - 2380*d**2 + 348000*d + 1800000.
4*(d - 300)**2*(d + 5)
Factor 56*w**2/11 - 54*w/11 - 20/11.
2*(4*w - 5)*(7*w + 2)/11
Factor 4*x**3 + 900*x**2 + 51072*x + 50176.
4*(x + 1)*(x + 112)**2
Solve -2*b**3/5 + 2*b**2 + 2*b/5 - 2 = 0.
-1, 1, 5
Factor z**4/2 + 3150*z**3 + 6615000*z**2 + 4630500000*z.
z*(z + 2100)**3/2
Factor -2*y**4/21 + 2*y**3/21 + 4*y**2/7.
-2*y**2*(y - 3)*(y + 2)/21
Suppose j**2/2 + 37*j/4 + 9/2 = 0. What is j?
-18, -1/2
Find s, given that 3*s**4 + 114*s**3 + 420*s**2 + 408*s = 0.
-34, -2, 0
Suppose 27*y**3 + 693*y**2 - 960*y + 324 = 0. Calculate y.
-27, 2/3
Determine