Solve 3*w**5 - 12*w**4 - 39*w**3 + 12*w**2 + 36*w = 0 for w.
-2, -1, 0, 1, 6
Solve 2*x**3/11 + 96*x**2/11 + 1152*x/11 = 0.
-24, 0
Factor -50*y**2 - 1940*y - 18818.
-2*(5*y + 97)**2
Factor 3*l**2 + 72*l - 75.
3*(l - 1)*(l + 25)
Factor i**3/5 + 2*i**2/5.
i**2*(i + 2)/5
Find o, given that -2*o**2/7 - 78*o/7 - 148/7 = 0.
-37, -2
Factor -i**4/3 - 4*i**3 - 43*i**2/3 - 20*i - 28/3.
-(i + 1)*(i + 2)**2*(i + 7)/3
Find a, given that 2*a**2/15 + 28*a - 422/15 = 0.
-211, 1
Solve 8*f**5/5 - 28*f**4/5 - 36*f**3/5 = 0.
-1, 0, 9/2
Factor 2*h**2/5 + 102*h/5 - 684/5.
2*(h - 6)*(h + 57)/5
Factor -f**2 + 8*f.
-f*(f - 8)
Suppose -p**3/3 - 170*p**2 + 341*p - 512/3 = 0. What is p?
-512, 1
Factor -u**4 - 90*u**3 - 89*u**2.
-u**2*(u + 1)*(u + 89)
Solve -24*f**5/11 - 88*f**4 - 302*f**3/11 + 720*f**2/11 - 2*f/11 - 80/11 = 0 for f.
-40, -1, -1/3, 1/2
Find m such that m**5/2 + 5*m**4 + 33*m**3/2 + 16*m**2 - 14*m - 24 = 0.
-4, -3, -2, 1
Factor -815*u**3 + 10*u**2.
-5*u**2*(163*u - 2)
Suppose 6*h**2/7 - 36*h - 1728/7 = 0. What is h?
-6, 48
Let 4*h**5/13 - 30*h**4/13 + 8*h**3/13 + 44*h**2/13 - 12*h/13 - 14/13 = 0. What is h?
-1, -1/2, 1, 7
Find l such that -l**3/2 - 7*l**2 + 31*l/2 - 8 = 0.
-16, 1
Factor i**3 - 2*i**2 - 11*i + 12.
(i - 4)*(i - 1)*(i + 3)
Factor 2*x**4/13 - 20*x**3/13 - 46*x**2/13 - 24*x/13.
2*x*(x - 12)*(x + 1)**2/13
Factor -3*t**3/2 - 87*t**2 + 369*t/2 + 270.
-3*(t - 3)*(t + 1)*(t + 60)/2
Suppose -3*q**4 + 69*q**3 + 9*q**2 - 213*q + 138 = 0. Calculate q.
-2, 1, 23
Factor -2*z**2 - 22*z.
-2*z*(z + 11)
Solve 4*i**4 - 52*i**3 + 176*i**2 + 112*i - 960 = 0.
-2, 4, 5, 6
Let h**3 - 26*h**2 + 48*h = 0. What is h?
0, 2, 24
Factor 5*g**4 - 555*g**3.
5*g**3*(g - 111)
Solve 10*p**5/3 - 124*p**4/3 + 136*p**3 - 48*p**2 = 0 for p.
0, 2/5, 6
Factor t**3/4 - 33*t**2 + 4221*t/4 + 4489/2.
(t - 67)**2*(t + 2)/4
What is p in 2*p**5 + 2*p**4 - 10*p**3 + 6*p**2 = 0?
-3, 0, 1
Let -2*p**2/9 - 854*p/9 = 0. What is p?
-427, 0
Solve -5*a**2 - 90*a - 225 = 0.
-15, -3
Solve -2*f**4/7 + 122*f**3/21 + 218*f**2/21 + 46*f/21 - 44/21 = 0 for f.
-1, 1/3, 22
Find q such that 5*q**3/4 - 1725*q**2/4 + 3390*q - 6740 = 0.
4, 337
Factor 4*p**2 - 3632*p + 824464.
4*(p - 454)**2
Factor 3*o**4/5 - 3*o**3/5.
3*o**3*(o - 1)/5
Suppose -16*p**3 + 484*p**2 + 372*p = 0. Calculate p.
-3/4, 0, 31
Factor -2*k**2 - 2*k.
-2*k*(k + 1)
Find x, given that 4*x**4 - 32*x**3 + 68*x**2 + 8*x - 96 = 0.
-1, 2, 3, 4
Factor -2*m**2 + 2*m + 4.
-2*(m - 2)*(m + 1)
Suppose -2*w**4/3 + 10*w**3/9 - 4*w**2/9 = 0. Calculate w.
0, 2/3, 1
Factor -s**2 + 55*s - 106.
-(s - 53)*(s - 2)
Let -2*p**3/5 - 8*p**2 - 136*p/5 - 128/5 = 0. What is p?
-16, -2
Determine h so that -20*h**2 - 76*h - 48 = 0.
-3, -4/5
Suppose 3*y**3 - 249*y**2 - 507*y - 255 = 0. Calculate y.
-1, 85
Factor -b**3/3 + 164*b**2/3 - 161*b/3 - 326/3.
-(b - 163)*(b - 2)*(b + 1)/3
Find s such that -20*s**5 + 445*s**4 - 290*s**3 - 4995*s**2 + 1260*s = 0.
-3, 0, 1/4, 4, 21
What is c in c**2 + 850*c + 180625 = 0?
-425
Factor -2*w**2/9 + 60*w + 542/9.
-2*(w - 271)*(w + 1)/9
Factor -3*r**4/5 + 12*r**3 - 162*r**2/5 + 156*r/5 - 51/5.
-3*(r - 17)*(r - 1)**3/5
Factor -s**4 + 25*s**3 + 34*s**2 - 196*s - 312.
-(s - 26)*(s - 3)*(s + 2)**2
Let 5*r**4 - 25*r**3 + 40*r**2 - 20*r = 0. What is r?
0, 1, 2
Find k, given that k**2/3 + 16*k = 0.
-48, 0
Factor 2*z**4 - 308*z**3 + 12154*z**2 - 22192*z - 34656.
2*(z - 76)**2*(z - 3)*(z + 1)
Factor z**4/7 - 6*z**3/7 + 13*z**2/7 - 12*z/7 + 4/7.
(z - 2)**2*(z - 1)**2/7
Suppose -42*c**3/5 - 992*c**2/5 - 602*c/5 - 92/5 = 0. What is c?
-23, -1/3, -2/7
Solve q**2 - 1724*q + 743044 = 0 for q.
862
Factor 4*t**3 - 60*t**2 - 292*t - 228.
4*(t - 19)*(t + 1)*(t + 3)
Let -51*t**3 - 147*t**2 - 84*t + 12 = 0. Calculate t.
-2, -1, 2/17
Determine t, given that -95*t**2 + 185*t + 10 = 0.
-1/19, 2
Determine j so that -j**5 + 12*j**4 - 44*j**3 + 48*j**2 = 0.
0, 2, 4, 6
Factor 5*t**2 + 20*t - 60.
5*(t - 2)*(t + 6)
Let 2*m**5/11 - 106*m**4/11 - 1810*m**3/11 + 120354*m**2/11 - 234864*m/11 + 10584 = 0. What is m?
-33, 1, 42
Suppose -2*l**4 - 4*l**3 + 6*l**2 + 8*l - 8 = 0. What is l?
-2, 1
Factor -2*q**3 - 28*q**2 + 230*q - 200.
-2*(q - 5)*(q - 1)*(q + 20)
Find p, given that 4*p**4/5 - 48*p**3/5 - 59*p**2/5 + 93*p/5 - 26/5 = 0.
-2, 1/2, 13
Factor -4*h**3 + 32*h**2 - 60*h.
-4*h*(h - 5)*(h - 3)
Find q, given that 2*q**2 + 4*q - 448 = 0.
-16, 14
Factor -2*f**3/11 - 20*f**2/11 + 274*f/11 - 252/11.
-2*(f - 7)*(f - 1)*(f + 18)/11
Factor 3*v**2 - 54*v - 264.
3*(v - 22)*(v + 4)
Factor -2*l**2/13 - 84*l/13.
-2*l*(l + 42)/13
Factor 2*x**3/5 - 72*x**2/5 + 38*x + 264/5.
2*(x - 33)*(x - 4)*(x + 1)/5
Solve 5*n**4 + 39*n**3 + 17*n**2 - 75*n + 14 = 0 for n.
-7, -2, 1/5, 1
Suppose -5*p**2 - 2345*p + 2350 = 0. What is p?
-470, 1
Determine b, given that -2*b**5/9 + 4*b**4/3 - 10*b**3/9 - 16*b**2/3 + 8*b = 0.
-2, 0, 2, 3
Suppose 3*q**5 + 56*q**4 - 21*q**3 - 38*q**2 = 0. Calculate q.
-19, -2/3, 0, 1
Suppose -2*l**2/3 + 212*l + 638/3 = 0. What is l?
-1, 319
Factor 18*l**3 - 112*l**2 + 168*l - 32.
2*(l - 4)*(l - 2)*(9*l - 2)
Factor 5*j**2/2 - 1025*j/2 - 515.
5*(j - 206)*(j + 1)/2
Solve 4*u**5/9 - 8*u**4/3 + 32*u**3/9 + 8*u**2/9 - 4*u + 16/9 = 0.
-1, 1, 4
Factor -3*c**2/7 + 87*c/7 - 12.
-3*(c - 28)*(c - 1)/7
Solve -2*m**3/5 - 82*m**2/5 - 304*m/5 - 296/5 = 0 for m.
-37, -2
Factor y**4/4 + 175*y**3/4 + 87*y**2/2.
y**2*(y + 1)*(y + 174)/4
Determine j, given that -2*j**2/7 + 288*j/7 + 584/7 = 0.
-2, 146
Factor 28*t**3 - 15*t**2 - 33*t + 10.
(t + 1)*(4*t - 5)*(7*t - 2)
Factor b**4/3 + 2*b**3/3 - 8*b**2.
b**2*(b - 4)*(b + 6)/3
Find g, given that 4*g**4/11 + 13*g**3/11 - 32*g**2/11 + 15*g/11 = 0.
-5, 0, 3/4, 1
Factor 3*u**3/5 - 33*u**2/5 - 12*u/5 + 672/5.
3*(u - 8)*(u - 7)*(u + 4)/5
Factor 3*h**3/7 + 696*h**2/7 + 5865*h + 79350/7.
3*(h + 2)*(h + 115)**2/7
Solve 3*c**3 - 45*c**2 - 3*c + 45 = 0.
-1, 1, 15
Let -3*b**2/2 + 14997*b/4 + 1875 = 0. What is b?
-1/2, 2500
Factor -14040*y**2 + 4692*y - 4.
-4*(3*y - 1)*(1170*y - 1)
Determine q, given that -2*q**5 - 72*q**4 - 388*q**3 + 4872*q**2 - 4410*q = 0.
-21, 0, 1, 5
Factor i**5/4 + i**4 + 5*i**3/4 + i**2/2.
i**2*(i + 1)**2*(i + 2)/4
Suppose -5*m**2 + 140*m - 135 = 0. What is m?
1, 27
Solve -5*q**5/2 - 4*q**4 + 19*q**3/2 - 3*q**2 = 0 for q.
-3, 0, 2/5, 1
Find q, given that -180*q**5 - 612*q**4 + 524*q**3 + 356*q**2 - 56*q - 32 = 0.
-4, -2/5, -1/3, 1/3, 1
Solve -3*z**4 + 18*z**3 + 48*z**2 = 0 for z.
-2, 0, 8
Factor -2*v**3/7 + 76*v**2/7 + 242*v/7 + 164/7.
-2*(v - 41)*(v + 1)*(v + 2)/7
Factor 3*t**5 + 6*t**4 - 39*t**3 + 30*t**2.
3*t**2*(t - 2)*(t - 1)*(t + 5)
Determine v so that -v**4/6 - v**3 - 13*v**2/6 - 2*v - 2/3 = 0.
-2, -1
Suppose -235*a**3/2 - 236*a**2 - 239*a/2 - 1 = 0. What is a?
-1, -2/235
Suppose -2*n**4/7 - 108*n**3/7 - 338*n**2/7 + 4320*n - 22400 = 0. Calculate n.
-35, 8
Factor 4*q**3 - 36*q**2 + 8*q + 192.
4*(q - 8)*(q - 3)*(q + 2)
Find r, given that r**5/7 - 12*r**4/7 + 36*r**3/7 = 0.
0, 6
Determine a so that -196*a**2/5 + 376*a/5 + 32/5 = 0.
-4/49, 2
Suppose -6*w**2/19 + 70*w/19 - 44/19 = 0. Calculate w.
2/3, 11
Let -i**4/5 + 672*i**3/5 - 114232*i**2/5 + 448896*i/5 - 446224/5 = 0. Calculate i.
2, 334
Factor -4*r**4 - 36*r**3 + 12*r**2 + 100*r - 72.
-4*(r - 1)**2*(r + 2)*(r + 9)
Determine x so that -3*x**5 - 12*x**4 + 12*x**3 + 66*x**2 - 9*x - 54 = 0.
-3, -1, 1, 2
Factor -2*a**2 - 96*a - 270.
-2*(a + 3)*(a + 45)
Find d, given that -d**2 - 1081*d + 5430 = 0.
-1086, 5
Find z such that 3*z**3 - 60*z**2 - 468*z = 0.
-6, 0, 26
Factor 4*v**3 + 24*v**2 + 32*v.
4*v*(v + 2)*(v + 4)
Factor h**3 - 102*h**2 - 103*h.
h*(h - 103)*(h + 1)
Factor 3*i**5 + 6*i**4 - 12*i**3 - 6*i**2 + 9*i.
3*i*(i - 1)**2*(i + 1)*(i + 3)
What is v in -9*v**5/5 - 6*v**4 - 9*v**3/5 + 36*v**2/5 + 12*v/5 = 0?
-2, -1/3, 0, 1
Factor -4*a**2 - 12096*a.
-4*a*(a + 3024)
Factor 225*n**3 + 440*n**2 + 205*n - 10.
5*(n + 1)**2*(45*n - 2)
Let -18*j**3 + 220*j**2 - 48*j = 0. What is j?
0, 2/9, 12
Factor -2*b**2 + 40*b - 38.
-2*(b - 19)*(b - 1)
Factor -25*q**5 + 160*q**4 - 286*q**3 + 96*q**2 - 9*q.
-q*(q - 3)**2*(5*q - 1)**2
Factor -15*n**2 + 365*n + 250.
-5*(n - 25)*(3*n + 2)
Determine k, given that -2*k**5/11 - 16*k**4/11 - 8*k**3/11 + 160*k**2/11 + 128*k/11 - 512/11 = 0.
-4, 2
Factor m**5/4 - 21*m**4/4 + 57*m**3/4 - 55*m**2/4 + 9*m/2.
m*(m - 18)*(m - 1)**3/4
Find f such that 5*f**3 + 20*f**2