**3 + 196*c**2 + 96*c + 14 = 0.
-1, -1/4, 7
Determine d so that 16*d**5 - 348*d**4 - 6280*d**3 - 14540*d**2 + 50064*d + 13328 = 0.
-7, -1/4, 2, 34
Factor -8*c**4 + 30*c**3 - 18*c**2.
-2*c**2*(c - 3)*(4*c - 3)
Find b, given that -2*b**4/5 + 2*b**3 + 12*b**2/5 = 0.
-1, 0, 6
Let -t**3/3 + t**2/3 + 7*t - 15 = 0. Calculate t.
-5, 3
Factor -2*y**4 + 1306*y**3 - 212550*y**2 - 213858*y.
-2*y*(y - 327)**2*(y + 1)
Let 35*m**3/6 - 5*m**2 - 25*m/2 - 5/3 = 0. What is m?
-1, -1/7, 2
Factor 3*h**4 - 90*h**3 + 672*h**2 + 90*h - 675.
3*(h - 15)**2*(h - 1)*(h + 1)
Determine d so that 42*d**2 - 218*d + 40 = 0.
4/21, 5
Factor 34*c**2/3 + 182*c/3 + 20.
2*(c + 5)*(17*c + 6)/3
Factor -2*x**4 + 34*x**3 + 6*x**2 - 106*x + 68.
-2*(x - 17)*(x - 1)**2*(x + 2)
Let 6*t**5 - 146*t**4 + 1194*t**3 - 3766*t**2 + 3504*t - 792 = 0. Calculate t.
1/3, 1, 6, 11
Solve 2*t**3/13 - 220*t**2/13 = 0 for t.
0, 110
Factor 6*m**3 + 1338*m**2/5 - 108*m.
6*m*(m + 45)*(5*m - 2)/5
Determine a so that -a**4/6 + 5*a**3/2 - 28*a**2/3 = 0.
0, 7, 8
Factor -192*r**3 + 10032*r**2 + 7605*r + 1431.
-3*(r - 53)*(8*r + 3)**2
Solve 3*g**3 + 1683*g**2 = 0 for g.
-561, 0
Factor -3*i**2 - 54*i - 96.
-3*(i + 2)*(i + 16)
Factor f**5 + 44*f**4 + 598*f**3 + 2512*f**2 + 3401*f + 1444.
(f + 1)**2*(f + 4)*(f + 19)**2
Let 4*j**3 - 503*j**2 - 126*j = 0. What is j?
-1/4, 0, 126
Factor 4*s**4 - 56*s**3 - 4124*s**2 + 30240*s + 1166400.
4*(s - 27)**2*(s + 20)**2
Factor -5*f**3/3 - 835*f**2/3 + 280*f.
-5*f*(f - 1)*(f + 168)/3
Factor -g**2/3 - 7*g + 90.
-(g - 9)*(g + 30)/3
Factor -i**3/3 + 65*i**2/3 + 139*i + 213.
-(i - 71)*(i + 3)**2/3
Solve 5*y**2 + 100*y + 500 = 0.
-10
Factor z**2 - 35*z - 74.
(z - 37)*(z + 2)
Let 2*b**5 + 22*b**4 + 70*b**3 + 50*b**2 = 0. What is b?
-5, -1, 0
Determine r so that -r**5/2 + 13*r**4 - 169*r**3/2 = 0.
0, 13
Factor 5*q**3 - 30*q**2 - 95*q + 120.
5*(q - 8)*(q - 1)*(q + 3)
Factor 2*o**2/21 - 10*o/21 + 4/7.
2*(o - 3)*(o - 2)/21
Find c, given that -2*c**3/3 - 104*c**2/3 - 392*c/3 - 128 = 0.
-48, -2
Factor 3*a**2 - 42*a + 144.
3*(a - 8)*(a - 6)
Suppose -v**4/5 + 7*v**3/5 - 3*v**2 + 9*v/5 = 0. Calculate v.
0, 1, 3
Find i, given that -5*i**4 - 10*i**3 + 4495*i**2 + 9000*i + 4500 = 0.
-30, -1, 30
Determine l so that 4*l**3 - 52*l**2 + 192*l - 144 = 0.
1, 6
Factor -2*p**3/7 + 24*p**2/7 + 54*p.
-2*p*(p - 21)*(p + 9)/7
Factor -4*i**2 + 164*i - 160.
-4*(i - 40)*(i - 1)
Solve 2*x**4/11 + 426*x**3/11 + 22470*x**2/11 - 22898*x/11 = 0.
-107, 0, 1
Factor 2*g**3/3 - 4*g**2 + 22*g/3 - 4.
2*(g - 3)*(g - 2)*(g - 1)/3
Factor -r**3 + 79*r**2 - 1520*r - 1600.
-(r - 40)**2*(r + 1)
What is m in -m**4 - 2*m**3 + 7*m**2 + 8*m - 12 = 0?
-3, -2, 1, 2
Let -15*g**5 + 125*g**4 - 95*g**3 - 365*g**2 + 350*g = 0. What is g?
-5/3, 0, 1, 2, 7
Factor 6*b**2 - 195*b - 99.
3*(b - 33)*(2*b + 1)
Factor l**2/10 + 6*l/5 + 2.
(l + 2)*(l + 10)/10
Solve t**5 - 19*t**4/3 + 16*t**3/3 + 20*t**2/3 = 0 for t.
-2/3, 0, 2, 5
Suppose -4*p**3 - 168*p**2 - 2052*p - 7776 = 0. Calculate p.
-24, -9
What is o in 5*o**4/4 + 15*o**3/2 - 45*o**2/4 - 35*o/2 = 0?
-7, -1, 0, 2
Factor 2*a**5/9 + 16*a**4/3 + 190*a**3/9.
2*a**3*(a + 5)*(a + 19)/9
Factor -21*u**5 + 288*u**4 - 945*u**3 - 294*u**2.
-3*u**2*(u - 7)**2*(7*u + 2)
Factor 3*o**2 - 48.
3*(o - 4)*(o + 4)
Suppose 4*i**2 + 72*i + 128 = 0. Calculate i.
-16, -2
Factor 3*i**2 + 177*i - 180.
3*(i - 1)*(i + 60)
Find w, given that -w**4 + 41*w**3 + 43*w**2 - 41*w - 42 = 0.
-1, 1, 42
Let -2*t**3/9 + 4*t**2/9 - 2*t/9 = 0. What is t?
0, 1
Factor 4*p**3 + 776*p**2 + 772*p.
4*p*(p + 1)*(p + 193)
Find c, given that -35*c**4/3 - 90*c**3 - 125*c**2 - 80*c/3 + 20 = 0.
-6, -1, 2/7
Factor 4*g**2 + 320*g + 316.
4*(g + 1)*(g + 79)
Let l**3/3 + 8*l**2/3 - 15*l + 12 = 0. Calculate l.
-12, 1, 3
Factor 10*w**4 - 35*w**3 + 45*w**2 - 25*w + 5.
5*(w - 1)**3*(2*w - 1)
Factor -4*v**2/7 + 24272*v/7 - 36820624/7.
-4*(v - 3034)**2/7
Factor s**4/4 - 11*s**3/4 + 9*s**2/4 + 11*s/4 - 5/2.
(s - 10)*(s - 1)**2*(s + 1)/4
Factor -20*x**3 - 25*x**2 - 5*x.
-5*x*(x + 1)*(4*x + 1)
Solve 5*d**2 + 4780*d + 1142420 = 0 for d.
-478
Solve -w**4/2 + 2*w**3 + 7*w**2/2 - 5*w = 0 for w.
-2, 0, 1, 5
Find r such that -14*r**5/15 - 18*r**4 - 328*r**3/15 - 24*r**2/5 = 0.
-18, -1, -2/7, 0
Let -5*m**5 + 395*m**4 - 6755*m**3 - 41175*m**2 - 60480*m - 26460 = 0. What is m?
-3, -1, 42
Factor -j**4 - 21*j**3 - 87*j**2 - 115*j - 48.
-(j + 1)**2*(j + 3)*(j + 16)
Find y such that -2*y**5/5 - 12*y**4/5 - 4*y**3/5 + 8*y**2 + 54*y/5 + 4 = 0.
-5, -1, 2
Suppose x**3/3 + 400*x**2/3 - 1613*x/3 + 404 = 0. What is x?
-404, 1, 3
Let 34*z**5/5 + 18*z**4/5 - 68*z**3/5 - 36*z**2/5 + 34*z/5 + 18/5 = 0. Calculate z.
-1, -9/17, 1
Suppose 5*v**2 + 50*v + 120 = 0. What is v?
-6, -4
Suppose y**5/2 + 3*y**4 - 11*y**3/2 - 30*y**2 + 50*y = 0. What is y?
-5, 0, 2
Solve u**3 - 569*u**2 - 570*u = 0.
-1, 0, 570
Let -n**4 - 21*n**3 + 215*n**2 - 483*n + 290 = 0. Calculate n.
-29, 1, 2, 5
Factor r**3/4 - 29*r**2/4 - 10*r + 1100.
(r - 20)**2*(r + 11)/4
Factor 3*x**2/5 - 12*x/5 - 27.
3*(x - 9)*(x + 5)/5
Factor -2*s**2/11 + 428*s/11 - 22898/11.
-2*(s - 107)**2/11
Factor 730*y**2 - 335*y - 15.
5*(2*y - 1)*(73*y + 3)
Solve 5*d**4 + 65*d**3 + 195*d**2 - 65*d - 200 = 0 for d.
-8, -5, -1, 1
Determine k, given that -4*k**2 - 36*k - 32 = 0.
-8, -1
Determine n, given that 4*n**4 + 54*n**3 + 22*n**2 - 54*n - 26 = 0.
-13, -1, -1/2, 1
Suppose 6*k**2/5 - 28044*k/5 + 32769414/5 = 0. What is k?
2337
Determine b, given that 2*b**4 + 122*b**3 - 924*b**2 + 1888*b - 1088 = 0.
-68, 1, 2, 4
Suppose w**4/3 - 8*w**3/3 - 20*w**2/3 = 0. What is w?
-2, 0, 10
Find v such that 3*v**4 + 42*v**3 + 156*v**2 + 198*v + 81 = 0.
-9, -3, -1
Factor 5*m**3 - 3290*m**2 + 6565*m - 3280.
5*(m - 656)*(m - 1)**2
Let -36*u**5 + 2744*u**4 - 500*u**3 - 8160*u**2 - 3664*u + 1216 = 0. What is u?
-1, 2/9, 2, 76
Find s, given that 4*s**2/3 + 40*s + 116/3 = 0.
-29, -1
Factor h**2 - 194*h + 9409.
(h - 97)**2
Factor 3*k**2/2 + 12*k + 45/2.
3*(k + 3)*(k + 5)/2
What is h in h**2/2 + 94*h + 4418 = 0?
-94
Factor 2*s**5 - 4*s**4 - 36*s**3 - 64*s**2 - 46*s - 12.
2*(s - 6)*(s + 1)**4
Factor -f**2/4 - 101*f/4 - 25.
-(f + 1)*(f + 100)/4
Let 3*u**4 - 30*u**3 - 1503*u**2 - 4254*u - 2784 = 0. Calculate u.
-16, -2, -1, 29
Factor -10*v**2/11 + 564*v/11 - 224/11.
-2*(v - 56)*(5*v - 2)/11
Factor -5*t**3 + 215*t**2 + 230*t - 440.
-5*(t - 44)*(t - 1)*(t + 2)
Suppose h**5/5 + 28*h**4/5 + 244*h**3/5 + 672*h**2/5 + 576*h/5 = 0. Calculate h.
-12, -2, 0
Factor -16*x**3 + 428*x**2 + 556*x + 112.
-4*(x - 28)*(x + 1)*(4*x + 1)
Let 2*q**4 + 242*q**3/7 + 222*q**2/7 - 8426*q/7 - 2420/7 = 0. Calculate q.
-11, -2/7, 5
Determine p so that 7*p**4/5 - 37*p**3/5 + 66*p**2/5 - 44*p/5 + 8/5 = 0.
2/7, 1, 2
Solve 44*n**2/9 - 922*n/9 - 14/3 = 0 for n.
-1/22, 21
Factor -2*d**4/9 - 2*d**3/9 + 4*d**2/3.
-2*d**2*(d - 2)*(d + 3)/9
Factor 3*j**2 - 9*j - 12.
3*(j - 4)*(j + 1)
What is q in -12*q**3/11 - 19*q**2 - 83*q/11 + 34/11 = 0?
-17, -2/3, 1/4
Factor 4*c**2 - 4280*c + 1144900.
4*(c - 535)**2
Factor 15*p**4/4 - p**3/2 - 15*p**2/4 + p/2.
p*(p - 1)*(p + 1)*(15*p - 2)/4
Let 3*i**2/2 + 5301*i/2 = 0. Calculate i.
-1767, 0
Factor 45*z**4 - 195*z**3 + 5*z**2 + 775*z - 750.
5*(z - 3)*(z + 2)*(3*z - 5)**2
Find o such that 4*o**3 + 7004*o**2 + 3062496*o - 3069504 = 0.
-876, 1
Factor 2*t**3/3 + 190*t**2/3 + 1258*t - 12138.
2*(t - 7)*(t + 51)**2/3
Factor -3*a**5/5 + 3*a**4/5 + 24*a**3/5 - 36*a**2/5.
-3*a**2*(a - 2)**2*(a + 3)/5
Solve 2*f**5 - 4*f**4 - 24*f**3 - 28*f**2 - 10*f = 0 for f.
-1, 0, 5
Factor -r**4/2 + 4*r**3 - 13*r**2/2 + 3*r.
-r*(r - 6)*(r - 1)**2/2
Factor -2*o**2/19 + 302*o/19 - 300/19.
-2*(o - 150)*(o - 1)/19
Solve g**4/3 - g**3/3 - 25*g**2/3 + 25*g/3 = 0.
-5, 0, 1, 5
Determine v so that -50*v**4 + 55*v**3 + 30*v**2 - 25*v - 10 = 0.
-1/2, -2/5, 1
Suppose 369*w**2/4 - 363*w/4 - 3/2 = 0. What is w?
-2/123, 1
Find c such that c**3 - 7*c**2 + 7*c + 15 = 0.
-1, 3, 5
Factor -2*d**5/3 - 2*d**4 - 4*d**3/3 + 4*d**2/3 + 2*d + 2/3.
-2*(d - 1)*(d + 1)**4/3
What is q in 3*q**3 + 72*q**2 - 1335*q + 3996 = 0?
-37, 4, 9
Determine n, given that -14*n**4 - 382*n**3 + 690*n**2 - 178*n - 116 = 0.
-29, -2/7, 1
Suppose 3*x**4 - 39*x**3 + 153*x**2 - 105*x - 300 = 0. Calculate x.
-1, 4, 5
Suppose 2*p**5/5 + 58*p**4/5 + 54*p**3/5 - 58*p**2/5 - 56*p/5 = 0. Calculate p.
-28, -1, 0, 1
Suppose -2*x**4 - 330*x**3 + 6*x