e -4*z**4 + 188*z**3 + 192*z**2 = 0. What is z?
-1, 0, 48
Factor w**4/6 - 7*w**2/6 + w.
w*(w - 2)*(w - 1)*(w + 3)/6
Determine p, given that 2*p**3/7 - 32*p**2/7 - 414*p/7 - 900/7 = 0.
-6, -3, 25
Solve s**2/2 - 1103*s/2 - 552 = 0 for s.
-1, 1104
Suppose -25*t**5 - 151*t**4 - 331*t**3 - 313*t**2 - 112*t - 4 = 0. What is t?
-2, -1, -1/25
Determine d, given that 3*d**3/2 - 852*d**2 + 243663*d/2 - 240267 = 0.
2, 283
Determine i, given that -i**5/2 - 63*i**4/4 - 197*i**3/2 - 31*i**2/4 + 429*i/2 - 92 = 0.
-23, -8, -2, 1/2, 1
Factor 6*c**2 - 2*c - 4.
2*(c - 1)*(3*c + 2)
Determine h, given that -4*h**3 - 352*h**2 + 1456*h - 1472 = 0.
-92, 2
Factor -3*b**5/5 - 843*b**4/5 + 846*b**3/5.
-3*b**3*(b - 1)*(b + 282)/5
Let -351*c**4/2 + 111*c**3 + 2247*c**2/2 + 381*c - 36 = 0. Calculate c.
-2, -4/9, 1/13, 3
Factor -4*w**2 - 2808*w - 492804.
-4*(w + 351)**2
Find g such that 4*g**5 - 52*g**4 - 268*g**3 + 2548*g**2 - 5112*g + 2880 = 0.
-8, 1, 2, 3, 15
Factor 3*d**2/4 - 75*d/4 + 18.
3*(d - 24)*(d - 1)/4
Factor -111*y**2 - 105*y + 6.
-3*(y + 1)*(37*y - 2)
Factor 2*s**4/5 + 96*s**3/5 + 1152*s**2/5.
2*s**2*(s + 24)**2/5
Solve -4*l**2/7 + 2932*l/7 + 840 = 0 for l.
-2, 735
Suppose -4*v**3/5 - 116*v**2/5 + 968*v/5 - 288 = 0. Calculate v.
-36, 2, 5
Factor 15*j**2/2 + 14919*j/2 - 2985.
3*(j + 995)*(5*j - 2)/2
Solve 2*n**2 - 104*n - 106 = 0.
-1, 53
Factor -2*t**3 - 402*t**2 - 26934*t - 601526.
-2*(t + 67)**3
Solve -i**3/2 + 14*i**2 + 195*i/2 + 153 = 0 for i.
-3, 34
Factor -j**5 + j**4 + 3*j**3 - j**2 - 2*j.
-j*(j - 2)*(j - 1)*(j + 1)**2
Let -4*t**5 - 5268*t**4 - 1731848*t**3 + 1742392*t**2 + 1731852*t - 1737124 = 0. Calculate t.
-659, -1, 1
Find c such that -6*c**4 + 320*c**3 + 1292*c**2 - 2176*c + 570 = 0.
-5, 1/3, 1, 57
Solve 5*b**5/6 - 10*b**4/3 + 5*b**3 - 10*b**2/3 + 5*b/6 = 0 for b.
0, 1
Factor 1857*t**4/2 + 3711*t**3 + 3702*t**2 - 12*t.
3*t*(t + 2)**2*(619*t - 2)/2
Factor 3*o**5 + 63*o**4 - 450*o**3 + 942*o**2 - 801*o + 243.
3*(o - 3)*(o - 1)**3*(o + 27)
Factor -2*l**3 - 368*l**2 + 382*l + 2220.
-2*(l - 3)*(l + 2)*(l + 185)
Factor 2*o**3 + 12*o**2 + 18*o + 8.
2*(o + 1)**2*(o + 4)
Factor 2*b**2 + 8*b - 90.
2*(b - 5)*(b + 9)
Factor 2*m**2 - 1666*m - 1668.
2*(m - 834)*(m + 1)
Determine k, given that -10*k**2/11 - 399*k/11 - 351/11 = 0.
-39, -9/10
Solve -2*y**4/3 - 10*y**3/3 - 2*y**2 + 10*y/3 + 8/3 = 0.
-4, -1, 1
Suppose -6*i**5 - 33*i**4 - 9*i**3 + 33*i**2 + 15*i = 0. What is i?
-5, -1, -1/2, 0, 1
Factor -40*j**3 + 485*j**2 - 1500*j + 180.
-5*(j - 6)**2*(8*j - 1)
Factor 3*v**2/4 - 3*v + 9/4.
3*(v - 3)*(v - 1)/4
Factor 3*u**2 - 93*u - 96.
3*(u - 32)*(u + 1)
Solve -2*c**4/7 + 4*c**3/7 + 2*c**2/7 - 4*c/7 = 0 for c.
-1, 0, 1, 2
Solve 16*h**5 + 5608*h**4 + 438793*h**3 - 9429281*h**2 + 4632016*h - 575552 = 0 for h.
-184, 1/4, 17
Suppose 2*u**5/9 - 62*u**4/9 + 58*u**3/9 + 62*u**2/9 - 20*u/3 = 0. What is u?
-1, 0, 1, 30
Find d, given that -2*d**2 - 88*d - 86 = 0.
-43, -1
Solve -5*w**5/4 - 105*w**4/4 - 195*w**3/4 - 95*w**2/4 = 0.
-19, -1, 0
Determine z, given that -49*z**5 + 420*z**4 - 851*z**3 - 420*z**2 + 900*z = 0.
-1, 0, 1, 30/7
Solve -6*c**3 + 452*c**2 + 304*c = 0 for c.
-2/3, 0, 76
Solve -2*x**2/3 - 104*x/3 + 72 = 0 for x.
-54, 2
Factor -20*i**2 - 2072*i - 1236.
-4*(i + 103)*(5*i + 3)
Factor -3*j**2 + 6390*j - 3402675.
-3*(j - 1065)**2
Factor 4*r**4 - 24*r**3 + 32*r**2.
4*r**2*(r - 4)*(r - 2)
Determine w, given that w**2/4 + 61*w/2 + 3721/4 = 0.
-61
Suppose -2*w**2 + 24*w + 90 = 0. Calculate w.
-3, 15
Find i, given that 49*i**4/2 + 147*i**3/2 - 100*i**2 - 6*i + 8 = 0.
-4, -2/7, 2/7, 1
Let 4*g**2/7 + 5388*g/7 - 5392/7 = 0. Calculate g.
-1348, 1
Factor -4*l**2 + 1248*l - 97344.
-4*(l - 156)**2
Suppose -i**5 - 28*i**4 + 2*i**3 + 56*i**2 - i - 28 = 0. What is i?
-28, -1, 1
Find l, given that -15*l**4/2 - 18*l**3 + 63*l**2/2 + 60*l + 18 = 0.
-3, -1, -2/5, 2
Determine c so that c**2 - 232*c + 687 = 0.
3, 229
What is d in -d**4/6 - 2*d**3 - 10*d**2/3 = 0?
-10, -2, 0
Suppose 2*r**2/9 + 2*r/3 - 4 = 0. Calculate r.
-6, 3
Factor 4*r**2 + 128*r.
4*r*(r + 32)
Let 4*a**3/3 + 1466*a**2/3 - 736*a/3 - 734/3 = 0. What is a?
-367, -1/2, 1
Factor 2*b**3/5 + 22*b**2/5 - 52*b/5.
2*b*(b - 2)*(b + 13)/5
Factor 5*u**3 - 140*u**2 + 825*u + 2250.
5*(u - 15)**2*(u + 2)
Let 4*j**3 - 28*j**2 - 36*j + 252 = 0. Calculate j.
-3, 3, 7
Factor 10*y**3 - 2*y**2.
2*y**2*(5*y - 1)
Factor 5*r**5 + 107*r**4 + 762*r**3 + 1888*r**2 + 640*r.
r*(r + 5)*(r + 8)**2*(5*r + 2)
Determine b, given that 4*b**2 + 2056*b + 264196 = 0.
-257
What is j in -5*j**5 + 75*j**4 - 195*j**3 - 275*j**2 = 0?
-1, 0, 5, 11
Find k such that -2*k**4/5 + 18*k**3/5 - 46*k**2/5 + 6*k = 0.
0, 1, 3, 5
Let -2*u**4/9 + 2024*u**3/9 - 510044*u**2/9 - 342056*u/3 - 57122 = 0. Calculate u.
-1, 507
Let -i**5/4 + i**3/2 - i/4 = 0. What is i?
-1, 0, 1
Factor -o**2 - 52*o/5 - 4.
-(o + 10)*(5*o + 2)/5
Find l such that 10125*l**2/2 + 225*l + 5/2 = 0.
-1/45
Suppose -3*v**5/2 + 147*v**4/2 - 1239*v**3 + 7899*v**2 - 24735*v/2 + 11271/2 = 0. What is v?
1, 13, 17
Factor -3*w**3 - 3*w**2 + 147*w + 147.
-3*(w - 7)*(w + 1)*(w + 7)
What is h in 7*h**3/4 - 289*h**2/4 + 41*h/2 = 0?
0, 2/7, 41
Factor -t**2 - 76*t - 288.
-(t + 4)*(t + 72)
What is n in -n**2 - 130*n - 381 = 0?
-127, -3
What is u in u**3/3 - 100*u**2/3 = 0?
0, 100
Solve -5*h**2 + 125*h + 270 = 0.
-2, 27
Solve -3*a**3/7 - 51*a**2/7 - 240*a/7 - 192/7 = 0 for a.
-8, -1
Factor 4*f**2 - 996*f + 992.
4*(f - 248)*(f - 1)
Suppose -4*p**2 + 272*p - 4624 = 0. What is p?
34
Let 2*s**4 - 16*s**3 - 2*s**2 + 16*s = 0. What is s?
-1, 0, 1, 8
Factor -2*i**4/15 + 12*i**3/5 - 64*i**2/15.
-2*i**2*(i - 16)*(i - 2)/15
Let 3*c**4/8 + 27*c**3/8 - 3*c**2/8 - 27*c/8 = 0. What is c?
-9, -1, 0, 1
Factor b**2 + 45*b + 464.
(b + 16)*(b + 29)
Suppose -5*l**2 - 800*l - 32000 = 0. Calculate l.
-80
Determine p, given that 4*p**4/3 + 76*p**3/3 - 28*p**2 - 76*p/3 + 80/3 = 0.
-20, -1, 1
Factor 2*q**4/11 + 20*q**3/11 - 2*q**2.
2*q**2*(q - 1)*(q + 11)/11
Find z, given that -z**4/7 + 25*z**3/7 - 183*z**2/7 + 275*z/7 + 484/7 = 0.
-1, 4, 11
Let -2*w**4/5 + 26*w**3/5 - 82*w**2/5 + 94*w/5 - 36/5 = 0. Calculate w.
1, 2, 9
Find y such that 54*y**4/13 - 6*y**3 + 16*y**2/13 + 8*y/13 = 0.
-2/9, 0, 2/3, 1
Factor -2*f**4 - 42*f**3 - 198*f**2 + 242*f.
-2*f*(f - 1)*(f + 11)**2
Let -2*o**5/7 - 38*o**4/7 - 128*o**3/7 - 120*o**2/7 = 0. What is o?
-15, -2, 0
Find d, given that -2*d**3/3 + 22*d**2/3 - 70*d/3 + 50/3 = 0.
1, 5
Suppose -3*u**4 + 18*u**3 + 108*u**2 + 120*u = 0. Calculate u.
-2, 0, 10
Factor -4*s**5 + 36*s**4 - 84*s**3 + 76*s**2 - 24*s.
-4*s*(s - 6)*(s - 1)**3
Determine x, given that 5*x**3 + 255*x**2 + 495*x + 245 = 0.
-49, -1
Factor 5*f**4 + 1635*f**3 + 3255*f**2 + 1625*f.
5*f*(f + 1)**2*(f + 325)
Determine p, given that 5*p**2 + 130*p + 345 = 0.
-23, -3
Find c such that -c**2/5 + 4404*c/5 = 0.
0, 4404
Solve 12*y**4 + 136*y**3/3 + 112*y**2/3 - 32*y/3 = 0.
-2, 0, 2/9
Find v such that v**4/2 + v**3 - 18*v**2 + 44*v - 32 = 0.
-8, 2
Factor -5*h**3 - 245*h**2 - 3575*h - 16335.
-5*(h + 11)**2*(h + 27)
Factor -3*t**3 - 57*t**2 + 291*t + 345.
-3*(t - 5)*(t + 1)*(t + 23)
Factor -w**5/5 + 162*w**4/5 - 6804*w**3/5 + 110808*w**2/5 - 629856*w/5.
-w*(w - 108)*(w - 18)**3/5
Factor 2*y**2/3 - 9008*y + 30429024.
2*(y - 6756)**2/3
What is i in -2*i**2 + 108*i + 110 = 0?
-1, 55
Solve 3*b**4/7 - 16*b**3/7 + 2*b**2 + 24*b/7 - 9/7 = 0 for b.
-1, 1/3, 3
Factor y**4 + 11*y**3 + 35*y**2 + 25*y.
y*(y + 1)*(y + 5)**2
Factor -32*y**2 - 26*y + 6.
-2*(y + 1)*(16*y - 3)
Let 5*r**3/3 - 55*r**2/3 + 70*r/3 + 400/3 = 0. Calculate r.
-2, 5, 8
Suppose -3*b**5 + 81*b**4 - 726*b**3 + 2106*b**2 + 729*b - 2187 = 0. What is b?
-1, 1, 9
Factor -4*k**2 + 224*k + 3588.
-4*(k - 69)*(k + 13)
Solve q**3/9 + 2*q**2/3 - q/9 - 10/3 = 0.
-5, -3, 2
Factor -4*p**3 - 5*p**2 + 4*p + 5.
-(p - 1)*(p + 1)*(4*p + 5)
Factor -d**3/4 + 8*d**2 - 135*d/4.
-d*(d - 27)*(d - 5)/4
Factor 3*o**2 + 585*o - 3000.
3*(o - 5)*(o + 200)
Factor 2*d**5 - 6*d**4 - 14*d**3 + 14*d**2 + 36*d + 16.
2*(d - 4)*(d - 2)*(d + 1)**3
Factor 3*l**2 - 18864*l + 29654208.
3*(l - 3144)**2
Find b such that -3*b**2/7 - 549*b/7 - 2670/7 = 0.
-178, -5
Factor 2*p**3 + 32*p**2 + 78*p.
2*p*(p + 3)*(p + 13)
What is h in 6*h**3/5 + 176*h**2/5 - 358*h/15 + 4 = 0?
-30, 1/3
Factor 4*p**4/3 - 52*p**2/3 - 16*p.
4*p*(p - 4)*(p + 1)*(p + 3)/3
Factor -14