 + 117)**3
Factor 8*k**3/9 + 74*k**2/9 - 398*k/9 - 104/9.
2*(k - 4)*(k + 13)*(4*k + 1)/9
What is p in 12*p**4 - 68*p**3 + 84*p**2 + 36*p = 0?
-1/3, 0, 3
Factor -h**2 + 186*h - 185.
-(h - 185)*(h - 1)
Factor 2*t**2/7 + 88*t/7 + 968/7.
2*(t + 22)**2/7
Factor z**3/2 + 7*z**2 + 14*z - 60.
(z - 2)*(z + 6)*(z + 10)/2
Factor -w**2 + 866*w - 187489.
-(w - 433)**2
Let -79*t**3 + 159*t**2/2 - t/2 = 0. Calculate t.
0, 1/158, 1
Factor -a**3/12 + a**2/2 - 11*a/12 + 1/2.
-(a - 3)*(a - 2)*(a - 1)/12
Factor 22*r**3 + 57*r**2 + 27*r + 2.
(r + 2)*(2*r + 1)*(11*r + 1)
Factor n**5 + 2*n**4 - 3*n**3.
n**3*(n - 1)*(n + 3)
Find d, given that 300*d**2 + 308*d + 8 = 0.
-1, -2/75
Factor -2*n**2/9 + 1432*n/9 - 256328/9.
-2*(n - 358)**2/9
Let -3*c**3/7 + 99*c**2/7 + 1794*c/7 = 0. Calculate c.
-13, 0, 46
Factor 3*b**3 + 75*b**2 - 339*b + 261.
3*(b - 3)*(b - 1)*(b + 29)
Factor 8*d**3/9 + 1616*d**2/9 + 1610*d/9 + 134/3.
2*(d + 201)*(2*d + 1)**2/9
What is q in -5*q**3 - 55*q**2 + 125*q - 65 = 0?
-13, 1
Let -2*o**3/13 + 242*o**2/13 - 476*o/13 = 0. Calculate o.
0, 2, 119
Solve 2*a**3 - 28*a**2 - 110*a + 1936 = 0.
-8, 11
Factor -3*z**3/5 + 9*z**2/5 - 6*z/5.
-3*z*(z - 2)*(z - 1)/5
Factor 2*a**3/3 - 112*a**2/3 + 1568*a/3.
2*a*(a - 28)**2/3
Solve 4*x**3/9 - 52*x**2/3 = 0.
0, 39
Find j such that -15*j**2 + 110*j - 35 = 0.
1/3, 7
Suppose -3*b**2 + 1608*b - 215472 = 0. What is b?
268
Factor -2*v**2 - 1632*v.
-2*v*(v + 816)
Factor y**3/9 - 19*y**2/9 + 50*y/9 - 32/9.
(y - 16)*(y - 2)*(y - 1)/9
Determine q, given that 3*q**3 + 152*q**2 + 247*q + 98 = 0.
-49, -1, -2/3
Factor y**2 + 48*y + 576.
(y + 24)**2
Find x, given that -4*x**2 + 32*x = 0.
0, 8
Let 2*v**5 + 14*v**4 - 18*v**3 - 230*v**2 - 200*v = 0. What is v?
-5, -1, 0, 4
Factor x**2/5 + 112*x/5 + 3136/5.
(x + 56)**2/5
Determine d so that d**3 + 41*d**2 - d - 41 = 0.
-41, -1, 1
Find r such that 2*r**4/13 + 660*r**3/13 + 648*r**2/13 - 3284*r/13 + 1974/13 = 0.
-329, -3, 1
Factor -y**2/2 - 120*y - 7200.
-(y + 120)**2/2
Factor 6*s**4 + 203*s**3 + 1893*s**2 + 2976*s + 1280.
(s + 1)*(s + 16)**2*(6*s + 5)
Determine d, given that 2*d**2/13 - 24*d - 314/13 = 0.
-1, 157
Factor 2*d**3 + 216*d**2 + 5832*d.
2*d*(d + 54)**2
Find s such that -3*s**5/2 - 6*s**4 + 33*s**3/2 + 39*s**2 - 96*s + 48 = 0.
-4, 1, 2
Solve 33*u**5 - 94*u**4 + 93*u**3 - 36*u**2 + 4*u = 0 for u.
0, 2/11, 2/3, 1
Factor 3*h**3 - 12*h**2 + 12*h.
3*h*(h - 2)**2
Let -4*p**2/5 - 124*p/5 - 432/5 = 0. Calculate p.
-27, -4
What is d in 2*d**3 + 60*d**2 - 128*d = 0?
-32, 0, 2
Find h, given that 3*h**4/2 - 72*h**3 + 531*h**2/2 - 57*h - 396 = 0.
-1, 2, 3, 44
Factor 3*w**3 - 36*w**2 + 123*w - 126.
3*(w - 7)*(w - 3)*(w - 2)
Determine g, given that 2*g**5/5 - 24*g**4 - 254*g**3/5 + 364*g**2/5 + 504*g/5 - 496/5 = 0.
-2, 1, 62
Determine f, given that -2*f**3/5 - 56*f**2/5 - 282*f/5 - 396/5 = 0.
-22, -3
Factor -f**4/2 + 33*f**3/2 + 35*f**2/2 - 33*f/2 - 17.
-(f - 34)*(f - 1)*(f + 1)**2/2
Let -2*v**4/3 + 40*v**3/3 - 104*v**2/3 - 320*v - 384 = 0. What is v?
-2, 12
Determine a so that 3*a**4 - 70*a**3 + 299*a**2 - 452*a + 220 = 0.
1, 2, 55/3
Factor h**2/4 + 9*h + 35/4.
(h + 1)*(h + 35)/4
Let 5*g**2 + 350*g + 680 = 0. What is g?
-68, -2
Solve 18*h**3 - 13278*h**2 + 8846*h - 1474 = 0 for h.
1/3, 737
Suppose 3*r**5 - 15*r**4 + 24*r**3 - 12*r**2 = 0. Calculate r.
0, 1, 2
Determine l so that 10*l**2 - 8*l - 2 = 0.
-1/5, 1
Let 3*t**3 - 141*t**2 + 273*t - 135 = 0. Calculate t.
1, 45
Factor -2*p**5/5 + 2*p**4 - 6*p**3/5 - 18*p**2/5.
-2*p**2*(p - 3)**2*(p + 1)/5
Factor 2*k**2/13 - 298*k/13 - 300/13.
2*(k - 150)*(k + 1)/13
Suppose 9*q**5 - 12*q**4 - 5*q**3 + 12*q**2 - 4*q = 0. What is q?
-1, 0, 2/3, 1
Suppose -13*t**5 + 128*t**4 + 1008*t**3 + 22*t**2 - 995*t - 150 = 0. Calculate t.
-5, -1, -2/13, 1, 15
Solve -25215*k**5 + 37884*k**4 + 39177*k**3 - 26718*k**2 - 2868*k - 72 = 0 for k.
-1, -2/41, 3/5, 2
Determine a so that 2*a**5 + 34*a**4 - 8*a**3 - 136*a**2 = 0.
-17, -2, 0, 2
What is q in 2*q**4/9 + 44*q**3/9 = 0?
-22, 0
Suppose -38*t**3 + 794*t**2 + 84*t = 0. What is t?
-2/19, 0, 21
Suppose 15*y**3/4 + 37*y**2/4 + 29*y/4 + 7/4 = 0. What is y?
-1, -7/15
Factor 2*d**2 + 6008*d + 4512008.
2*(d + 1502)**2
Determine t, given that -2*t**5/5 + 48*t**3/5 - 124*t**2/5 + 114*t/5 - 36/5 = 0.
-6, 1, 3
What is f in 2*f**3/13 - 4*f**2 + 384*f/13 - 576/13 = 0?
2, 12
Find k such that 2*k**3/3 - 150*k**2 + 592*k - 1768/3 = 0.
2, 221
Solve -3*p**4 + 555*p**3 + 3402*p**2 + 6852*p + 4584 = 0.
-2, 191
Determine h, given that -10*h**4/9 + 74*h**3/9 - 56*h**2/3 + 136*h/9 - 32/9 = 0.
2/5, 1, 2, 4
Factor -3*v**4/7 + 408*v**3/7 - 16104*v**2/7 + 151776*v/7 - 415152/7.
-3*(v - 62)**2*(v - 6)**2/7
Determine z so that -2*z**3 - 64*z**2 + 66*z = 0.
-33, 0, 1
Suppose -2*p**4 + 440*p**3 - 24200*p**2 = 0. What is p?
0, 110
Let 2*b**5/3 - 2*b**4/3 - 10*b**3/3 - 2*b**2 = 0. What is b?
-1, 0, 3
Factor -3*y**4 - 84*y**3 - 816*y**2 - 3120*y - 3600.
-3*(y + 2)*(y + 6)*(y + 10)**2
Find i, given that 3*i**5 - 15*i**4 - 54*i**3 + 174*i**2 + 435*i + 225 = 0.
-3, -1, 5
Factor -i**2/3 + 90*i.
-i*(i - 270)/3
Solve -2*t**2/3 - 20*t/3 - 32/3 = 0.
-8, -2
Find f, given that -f**4 + 17*f**3 + 27*f**2 - 513*f + 918 = 0.
-6, 3, 17
Suppose 8*v**5 + 34*v**4 - 34*v**2 - 8*v = 0. What is v?
-4, -1, -1/4, 0, 1
Factor 2*g**3 - 50*g**2 - 56*g + 104.
2*(g - 26)*(g - 1)*(g + 2)
Factor 3*d**4/8 - 279*d**3/8.
3*d**3*(d - 93)/8
Factor 3*a**2/5 - 6*a/5.
3*a*(a - 2)/5
Let 3*i**2 - 1380*i - 1383 = 0. Calculate i.
-1, 461
What is p in p**3/5 + p**2 + 3*p/5 - 9/5 = 0?
-3, 1
Factor 3*y**4 - 69*y**3 + 558*y**2 - 1824*y + 1920.
3*(y - 8)**2*(y - 5)*(y - 2)
Determine i, given that i**5 - 7*i**4 + 13*i**3 - i**2 - 14*i + 8 = 0.
-1, 1, 2, 4
Suppose 2*i**4/7 - 4*i**3 - 806*i**2/7 - 632*i - 840 = 0. Calculate i.
-7, -2, 30
Find r such that -3*r**5/5 + 6*r**4/5 - 6*r**2/5 + 3*r/5 = 0.
-1, 0, 1
Determine j, given that 310*j**5/9 + 34*j**4 - 4*j**3/9 = 0.
-1, 0, 2/155
Factor 4*j**2 + 14392*j + 12945604.
4*(j + 1799)**2
Factor 9*l**3 - 372*l**2 - 255*l + 126.
3*(l - 42)*(l + 1)*(3*l - 1)
Find d such that 4*d**4/5 - 4*d**2/5 = 0.
-1, 0, 1
Solve -25*j**5 - 230*j**4 - 229*j**3 + 100*j**2 + 92*j - 32 = 0.
-8, -1, 2/5
Factor 5*f**2 + 65*f - 150.
5*(f - 2)*(f + 15)
Factor 3*x**2/7 - 27*x/7 + 24/7.
3*(x - 8)*(x - 1)/7
Factor 2*o**5 + 1792*o**4 + 399610*o**3 - 806404*o**2.
2*o**2*(o - 2)*(o + 449)**2
Determine t so that -2*t**3/5 + 3642*t**2/5 - 331968*t + 331240 = 0.
1, 910
Factor 11*b**2/2 - 343*b/2 + 31.
(b - 31)*(11*b - 2)/2
Find q such that -q**5/5 + 8*q**4/5 - 7*q**3/5 = 0.
0, 1, 7
Suppose -5*o**2 - 95*o - 450 = 0. Calculate o.
-10, -9
Factor 3*p**3 - 39*p + 36.
3*(p - 3)*(p - 1)*(p + 4)
Factor -z**2/3 - 17*z/3 + 6.
-(z - 1)*(z + 18)/3
Solve 2*g**3 - 12*g**2 - 1490*g + 1500 = 0 for g.
-25, 1, 30
Factor s**3/9 - 25*s/9.
s*(s - 5)*(s + 5)/9
Factor -2*a**3/5 - 4*a**2 + 22*a/5.
-2*a*(a - 1)*(a + 11)/5
Factor -2*j**4/5 + 6*j**3/5 + 2*j**2/5 - 6*j/5.
-2*j*(j - 3)*(j - 1)*(j + 1)/5
Solve 2*j**4/5 - 6*j**3 + 38*j**2/5 + 174*j/5 + 104/5 = 0 for j.
-1, 4, 13
Suppose 4*x**2 - 1132*x + 1128 = 0. Calculate x.
1, 282
Factor g**2/4 + 67*g/2 + 4489/4.
(g + 67)**2/4
Solve 2*w**4/9 - 28*w**3/9 - 26*w**2 - 140*w/9 + 400/9 = 0 for w.
-5, -2, 1, 20
Suppose -94*n**2/5 - 42*n/5 = 0. Calculate n.
-21/47, 0
Solve -3*s**4 - 3*s**3 + 36*s**2 = 0 for s.
-4, 0, 3
Determine r so that -3*r**4 - 468*r**3 - 18252*r**2 = 0.
-78, 0
Suppose -10*s**3 - 26*s**2 + 12*s = 0. What is s?
-3, 0, 2/5
Let 28*c**5/5 - 344*c**4/5 + 628*c**3/5 + 184*c**2/5 - 656*c/5 + 32 = 0. What is c?
-1, 2/7, 1, 2, 10
Find u, given that -4*u**2 - 4448*u - 1236544 = 0.
-556
Determine t, given that 12*t**5 + 32*t**4 - 20*t**3 - 24*t**2 = 0.
-3, -2/3, 0, 1
Factor -p**2/4 - 77*p/4 - 213/2.
-(p + 6)*(p + 71)/4
Factor h**5/4 + h**4/4 - 21*h**3/4 + 47*h**2/4 - 10*h + 3.
(h - 2)*(h - 1)**3*(h + 6)/4
Factor -2*y**4/3 + 1244*y**3/3 - 195914*y**2/3 + 256264*y - 254616.
-2*(y - 309)**2*(y - 2)**2/3
Let 31*h**4/3 + 32*h**3/3 + h**2/3 = 0. What is h?
-1, -1/31, 0
Factor -3*z**3/4 + 753*z**2/4 + 189*z.
-3*z*(z - 252)*(z + 1)/4
Factor 2*i**2 + 36*i + 34.
2*(i + 1)*(i + 17)
Factor -3*z**2/8 + 69*z/8 + 75/4.
-3*(z - 25)*(z + 2)/8
Factor -d**4 - 72*d**3 - 70*d**2 + 72*d + 71.
-(d - 1)*(d + 1)**2*(d + 71)
Factor -3*r**3 + 324*r**2 + 1332*r + 1344.
-3*(r - 112)*(r + 2