-717
Factor 4*k**3 + 96*k**2 + 468*k + 648.
4*(k + 3)**2*(k + 18)
Factor -a**4/5 + 44*a**3/5 + 188*a**2/5 + 192*a/5.
-a*(a - 48)*(a + 2)**2/5
Suppose l**4/2 - 38*l**3 + 293*l**2/2 - 181*l + 72 = 0. What is l?
1, 2, 72
Factor -2*h**2/5 + 6*h + 32/5.
-2*(h - 16)*(h + 1)/5
What is q in -4*q**2 + 560*q - 6604 = 0?
13, 127
What is j in -j**3 + 42*j**2 - 117*j = 0?
0, 3, 39
Let z**4 - 27*z**3 + 216*z**2 - 432*z = 0. What is z?
0, 3, 12
Suppose i**2/5 + 57*i/5 + 432/5 = 0. Calculate i.
-48, -9
Find i, given that 3*i**4 + 36*i**3 + 96*i**2 - 144*i - 432 = 0.
-6, -2, 2
Solve -15*m**5/7 + 3*m**4 + 9*m**3 - 33*m**2/7 - 96*m/7 - 36/7 = 0.
-1, -3/5, 2
Factor 2*f**2 - 32*f - 322.
2*(f - 23)*(f + 7)
Factor -3*w**3 + 21*w**2 + 84*w + 60.
-3*(w - 10)*(w + 1)*(w + 2)
Let -28*n**5/3 + 19*n**4 - 10*n**3 + n**2/3 = 0. Calculate n.
0, 1/28, 1
Factor -h**2/10 - 53*h/10 - 26/5.
-(h + 1)*(h + 52)/10
Factor g**3 + 425*g**2 + 44512*g - 137388.
(g - 3)*(g + 214)**2
Solve n**2/6 - 40*n - 241/6 = 0.
-1, 241
Factor z**5 - 25*z**4 + 88*z**3 + 1180*z**2 - 2464*z - 15680.
(z - 14)**2*(z - 5)*(z + 4)**2
Find m such that -4*m**2 + 90*m + 486 = 0.
-9/2, 27
Factor q**2/4 + 34*q + 135/4.
(q + 1)*(q + 135)/4
Factor m**2/5 - 52*m/5 + 387/5.
(m - 43)*(m - 9)/5
Determine w so that -2*w**4 + 86*w**3 - 244*w**2 + 160*w = 0.
0, 1, 2, 40
Factor -3*v**3/5 - 303*v**2/5 - 7497*v/5 + 7803/5.
-3*(v - 1)*(v + 51)**2/5
Factor 6*i**3/11 - 174*i**2/11 - 84*i/11 + 7056/11.
6*(i - 28)*(i - 7)*(i + 6)/11
Factor -3*q**4/2 - 75*q**3/2 - 429*q**2/2 + 507*q/2.
-3*q*(q - 1)*(q + 13)**2/2
Factor 2*h**4 + 2192*h**3 + 900912*h**2 + 164566592*h + 11272811552.
2*(h + 274)**4
Factor 2*q**4 + 112*q**3 + 718*q**2 + 1592*q + 1176.
2*(q + 2)**2*(q + 3)*(q + 49)
Determine y, given that -y**3/3 + 31*y**2/3 - 37*y + 27 = 0.
1, 3, 27
Find o such that -12*o**5 + 200*o**4 - 592*o**3 + 248*o**2 + 156*o = 0.
-1/3, 0, 1, 3, 13
Let -t**4/2 + 11*t**3/4 + 77*t**2/4 - 131*t/4 + 45/4 = 0. What is t?
-5, 1/2, 1, 9
Factor -s**5/5 + 24*s**4/5 + 108*s**3/5 + 112*s**2/5.
-s**2*(s - 28)*(s + 2)**2/5
What is o in 2*o**5/7 + 2*o**4 - 36*o**3/7 + 4*o**2/7 + 34*o/7 - 18/7 = 0?
-9, -1, 1
Find h, given that 3*h**2 - 444*h + 1305 = 0.
3, 145
Factor -4*i**3 - 80*i**2 - 400*i.
-4*i*(i + 10)**2
Factor 2*f**4/5 + 54*f**3/5 + 432*f**2/5 + 864*f/5.
2*f*(f + 3)*(f + 12)**2/5
What is o in 10*o**4 - 1405*o**3/2 + 1455*o**2 + 5120*o - 1360 = 0?
-2, 1/4, 4, 68
Suppose z**5 + 15*z**4 + 85*z**3 + 225*z**2 + 274*z + 120 = 0. Calculate z.
-5, -4, -3, -2, -1
Factor y**2/2 + 21*y/2 + 27.
(y + 3)*(y + 18)/2
Factor -4*z**2/9 + 40*z/3 + 124/9.
-4*(z - 31)*(z + 1)/9
Factor -2*a**4/11 + 18*a**3/11 - 60*a**2/11 + 8*a - 48/11.
-2*(a - 3)*(a - 2)**3/11
Factor -2*y**3/15 - 22*y**2/5 - 144*y/5 - 160/3.
-2*(y + 4)**2*(y + 25)/15
What is v in 14*v**4/3 - 4*v**3 - 2*v**2/3 = 0?
-1/7, 0, 1
Suppose -4*d**3/9 + 28*d**2/3 - 44*d - 484/9 = 0. Calculate d.
-1, 11
Let -120*w**5 + 356*w**4 - 136*w**3 - 308*w**2 + 256*w - 48 = 0. What is w?
-1, 3/10, 2/3, 1, 2
Let -2*p**5/7 + 20*p**4/7 - 76*p**3/7 + 136*p**2/7 - 114*p/7 + 36/7 = 0. Calculate p.
1, 2, 3
Let -4*l**2 + 384*l + 784 = 0. Calculate l.
-2, 98
Suppose 5*n**2 + 1275*n + 1270 = 0. What is n?
-254, -1
Factor 2*z**2/7 - 4864*z/7 + 2957312/7.
2*(z - 1216)**2/7
Find q, given that q**3 - 12*q**2 + 36*q - 32 = 0.
2, 8
Suppose 8*d**5/9 - 10*d**4/9 - 12*d**3 + 248*d**2/9 - 16*d/9 - 64/3 = 0. Calculate d.
-4, -3/4, 2
Factor 4*l**3 + 1388*l**2 - 5636*l - 7020.
4*(l - 5)*(l + 1)*(l + 351)
Factor -8*x**2 - 1004*x - 996.
-4*(x + 1)*(2*x + 249)
Find l such that -3*l**5 + 42*l**4 - 219*l**3 + 516*l**2 - 528*l + 192 = 0.
1, 4
Determine b, given that 24300*b**2 + 540*b + 3 = 0.
-1/90
Find y such that -y**5/5 - 133*y**4/5 - 4218*y**3/5 + 2720*y**2 - 9248*y/5 = 0.
-68, 0, 1, 2
Factor -3*l**2/7 + 12*l/7 + 9.
-3*(l - 7)*(l + 3)/7
Factor 15*y**2 + 155*y - 110.
5*(y + 11)*(3*y - 2)
Factor -3*z**4 - 144*z**3 - 1725*z**2.
-3*z**2*(z + 23)*(z + 25)
Find l such that l**2/2 - 25*l/2 = 0.
0, 25
What is y in 2*y**5/11 - 24*y**4/11 - 30*y**3/11 + 52*y**2/11 = 0?
-2, 0, 1, 13
Factor 4*d**2 + 124*d + 120.
4*(d + 1)*(d + 30)
Factor -10*k**2/3 + 143*k/6 - 7/2.
-(k - 7)*(20*k - 3)/6
Determine h so that -2*h**3/5 + 4*h**2 - 34*h/5 - 56/5 = 0.
-1, 4, 7
Let c**3/4 + 43*c**2/4 - 193*c/4 - 235/4 = 0. What is c?
-47, -1, 5
Determine a so that 22*a**3/7 + 18*a**2/7 - 4*a/7 = 0.
-1, 0, 2/11
Factor l**4 + 26*l**3 - 372*l**2 - 9706*l + 10051.
(l - 19)*(l - 1)*(l + 23)**2
Determine g so that 10*g**2/3 - 134*g/3 + 448/3 = 0.
32/5, 7
Solve 2*d**3/9 - 50*d**2/9 + 286*d/9 + 338/9 = 0.
-1, 13
Let -5*u**2 - 1305*u + 6650 = 0. Calculate u.
-266, 5
Find w such that 3*w**4/7 - 6*w**3/7 - 60*w**2/7 + 198*w/7 - 135/7 = 0.
-5, 1, 3
Factor -4*b**3 + 168*b**2 + 196*b - 1032.
-4*(b - 43)*(b - 2)*(b + 3)
Factor 2*r**2/5 + 2220*r + 3080250.
2*(r + 2775)**2/5
Factor -j**2 + 26*j - 169.
-(j - 13)**2
Let -2*j**2/3 - 724*j/3 + 242 = 0. What is j?
-363, 1
Factor -5*f**2 + 3300*f - 544500.
-5*(f - 330)**2
What is n in 3*n**3 + 63*n**2 - 408*n - 468 = 0?
-26, -1, 6
Suppose 4*z**4 + 44*z**3 + 136*z**2 + 96*z = 0. Calculate z.
-6, -4, -1, 0
Factor v**5/3 + 2*v**4/3 - v**3 - 4*v**2/3 + 4*v/3.
v*(v - 1)**2*(v + 2)**2/3
Factor -b**4/8 + 11*b**3/4 + 3*b**2/8 - 17*b/2 + 11/2.
-(b - 22)*(b - 1)**2*(b + 2)/8
Suppose -2*f**3/5 + 156*f**2/5 + 2*f/5 - 156/5 = 0. Calculate f.
-1, 1, 78
Suppose -3*l**3/2 - 2367*l**2 - 931410*l + 1872300 = 0. What is l?
-790, 2
Find d, given that 3*d**3/4 - 603*d**2/4 + 31185*d/4 - 88209/4 = 0.
3, 99
Determine g so that -2*g**4/5 + 12*g**3/5 + 104*g**2/5 + 84*g/5 - 198/5 = 0.
-3, 1, 11
Find f, given that -12256974*f**3 - 1406538*f**2 - 53802*f - 686 = 0.
-7/183
Factor 3*f**2/7 - 117*f/7 - 54.
3*(f - 42)*(f + 3)/7
Factor f**2/3 + 68*f/3 + 105.
(f + 5)*(f + 63)/3
Factor -3*d**4 - 108*d**3 + 225*d**2 - 114*d.
-3*d*(d - 1)**2*(d + 38)
Factor -w**2/9 - 95*w/9 + 32/3.
-(w - 1)*(w + 96)/9
Let 14*z**3 - 10*z**2 - 284*z - 80 = 0. Calculate z.
-4, -2/7, 5
Solve -i**4/9 + 2*i**3/9 + 47*i**2/9 - 16*i/3 - 28 = 0 for i.
-6, -2, 3, 7
Suppose -2*u**3 + 144*u**2 + 762*u + 616 = 0. What is u?
-4, -1, 77
Let 2*a**4 + 46*a**3 + 182*a**2 - 1014*a = 0. What is a?
-13, 0, 3
Let l**2 + 12*l + 20 = 0. Calculate l.
-10, -2
Factor -2*l**4/9 + 8*l**3/9 + 10*l**2/9.
-2*l**2*(l - 5)*(l + 1)/9
Solve -3*i**4/4 - 75*i**3/4 - 9*i**2/4 + 5763*i/4 - 4335 = 0.
-17, 4, 5
Factor 4*r**2 - 12*r.
4*r*(r - 3)
Factor o**3/4 - 77*o**2/4 - 80*o - 81.
(o - 81)*(o + 2)**2/4
Factor 3*j**3 + 225*j**2 - 1479*j - 1701.
3*(j - 7)*(j + 1)*(j + 81)
Let 3*v**5/2 + 11*v**4 - 37*v**3 + 30*v**2 - v/2 - 5 = 0. What is v?
-10, -1/3, 1
Factor 2*x**3/3 - 22*x**2.
2*x**2*(x - 33)/3
Let 5*g**3/2 + 245*g**2/2 - 125*g = 0. Calculate g.
-50, 0, 1
Let 2*m**3/5 + 34*m**2/5 + 128*m/5 + 96/5 = 0. Calculate m.
-12, -4, -1
Factor -b**5/4 + 3*b**4/4 + b**3 - 4*b**2 + 4.
-(b - 2)**3*(b + 1)*(b + 2)/4
Factor -6*k**2 - 544*k/5 - 72/5.
-2*(k + 18)*(15*k + 2)/5
Factor o**4/5 - 3*o**3/5 + o**2/5 + 3*o/5 - 2/5.
(o - 2)*(o - 1)**2*(o + 1)/5
Factor -3*k**2/5 - 27*k/5 - 12.
-3*(k + 4)*(k + 5)/5
Determine v so that -v**3/2 - 579*v**2 - 223494*v - 28756228 = 0.
-386
Suppose 2*l**2 - 10*l - 12 = 0. Calculate l.
-1, 6
Factor -3*l**3/2 + 57*l**2/2 + 123*l/2 + 63/2.
-3*(l - 21)*(l + 1)**2/2
What is u in 3*u**4/4 + 3*u**3 - 57*u**2/4 - 69*u/2 - 18 = 0?
-6, -1, 4
What is m in 5*m**2 - 85*m = 0?
0, 17
Factor -5*n**3 + 10*n**2 + 4160*n + 43520.
-5*(n - 34)*(n + 16)**2
Find o such that 3*o**3 - 1395*o**2 - 8451*o - 12717 = 0.
-3, 471
Factor -5*v**3 + 45*v**2 + 230*v - 600.
-5*(v - 12)*(v - 2)*(v + 5)
Factor -7*f**3 - 166*f**2 - 113*f + 46.
-(f + 1)*(f + 23)*(7*f - 2)
Find p such that 12*p**5 + 556*p**4 + 7864*p**3 + 31360*p**2 + 9600*p = 0.
-20, -6, -1/3, 0
Find n such that 3*n**2 + 1677*n + 9954 = 0.
-553, -6
Suppose -22*x**3 + 158*x**2 - 160*x + 24 = 0. What is x?
2/11, 1, 6
Factor 2*h**2 + 50*h - 448.
2*(h - 7)*(h + 32)
Factor 10*o**3/3 - 56*o**2/3 + 174*o/5 - 108/5.
2*(o - 2)*(5*o - 9)**2/15
Find l, given that l**5/5 + 2*l**4/5 - 2*l**3/5 - 8*l**2/5 - 7*l/5 - 2/5 = 0.
-1, 2
Factor -g**4 + 6*g**3 - 5*g**2.
-g**2*(g - 5)*(g - 1)
Factor -3*k**4 + 2559*k**3 - 2556*k**2.
-3*k**2*(k - 852)*(k - 1)
Let -18*z**4/11 + 58*z**3/11 - 2*z**2 - 58*z/11 + 40/11 = 0. What is 