 7)*(d - 1)**3
Factor 3*c**2/7 + 429*c/7 + 846/7.
3*(c + 2)*(c + 141)/7
Solve -w**3/3 + 122*w**2/3 - 815*w/3 + 1150/3 = 0 for w.
2, 5, 115
Factor 2*s**2 - 424*s - 1728.
2*(s - 216)*(s + 4)
Find b, given that 3*b**2/8 - 15*b/2 + 75/2 = 0.
10
Factor 3*h**3 - 477*h**2 + 19197*h - 18723.
3*(h - 79)**2*(h - 1)
Find n such that n**2 + 5*n + 4 = 0.
-4, -1
Find v, given that v**4/3 + 20*v**3/3 - 39*v**2 + 196*v/3 - 100/3 = 0.
-25, 1, 2
Factor 54*f**2/5 + 344*f/5 + 24.
2*(f + 6)*(27*f + 10)/5
Factor -154*q**2/3 - 148*q/3 + 2.
-2*(q + 1)*(77*q - 3)/3
Factor 2*j**4/7 + 24*j**3/7 - 30*j**2/7 - 52*j/7.
2*j*(j - 2)*(j + 1)*(j + 13)/7
Factor 412*s**3/9 + 2*s**2/9.
2*s**2*(206*s + 1)/9
Factor z**5 + 4*z**4 + 3*z**3 - 4*z**2 - 4*z.
z*(z - 1)*(z + 1)*(z + 2)**2
Factor 25*q**2 + 155*q - 140.
5*(q + 7)*(5*q - 4)
Factor -u**4 - 3*u**3 - u**2 + 3*u + 2.
-(u - 1)*(u + 1)**2*(u + 2)
Suppose -10*c**5/19 - 4*c**4/19 + 26*c**3/19 - 12*c**2/19 = 0. Calculate c.
-2, 0, 3/5, 1
Factor -2*l**2/5 - 48*l/5 + 10.
-2*(l - 1)*(l + 25)/5
Determine t so that -t**2/2 - 4*t - 7/2 = 0.
-7, -1
Find x, given that -x**4/6 - x**3/2 = 0.
-3, 0
Find c, given that 3*c**2 - 246*c + 5043 = 0.
41
Suppose -15*o**2 - 2721*o - 1086 = 0. Calculate o.
-181, -2/5
Determine p, given that 42*p**2 - 718*p + 68 = 0.
2/21, 17
Factor -7*b**5 + 12*b**4 + 4*b**3.
-b**3*(b - 2)*(7*b + 2)
Factor -4*w**3 + 28*w**2 - 32*w - 64.
-4*(w - 4)**2*(w + 1)
Find h, given that 4*h**2 + 4196*h + 4192 = 0.
-1048, -1
Factor 2*r**2/15 - 284*r/3 + 50410/3.
2*(r - 355)**2/15
Solve 2*p**3 - 22*p**2 - 2*p + 22 = 0 for p.
-1, 1, 11
Factor -3*y**3 - 6*y**2 + 15*y + 18.
-3*(y - 2)*(y + 1)*(y + 3)
Factor -g**3/7 - 72*g**2 - 9072*g.
-g*(g + 252)**2/7
Find n, given that 3*n**2 + 234*n + 4563 = 0.
-39
Let -i**3/2 + 299*i**2/2 - 21267*i/2 - 163863/2 = 0. Calculate i.
-7, 153
Factor 3*z**2/2 - 75*z/2 + 234.
3*(z - 13)*(z - 12)/2
Determine d, given that 27*d**2 + 141*d + 30 = 0.
-5, -2/9
Find j such that -14*j**4/9 + 22*j**3/3 + 86*j**2/3 - 226*j/9 - 28/3 = 0.
-3, -2/7, 1, 7
What is i in 5*i**2/6 - 115*i + 7935/2 = 0?
69
Factor 3*x**4 - 33*x**3 - 75*x**2 - 39*x.
3*x*(x - 13)*(x + 1)**2
Find w, given that 4*w**2/3 + 40*w + 300 = 0.
-15
Factor f**5/7 - f**3/7.
f**3*(f - 1)*(f + 1)/7
Factor -h**3/12 + 98*h**2/3 + h/12 - 98/3.
-(h - 392)*(h - 1)*(h + 1)/12
Factor -m**4/6 - 4*m**3/3 + 43*m**2/6 - 29*m/3 + 4.
-(m - 2)*(m - 1)**2*(m + 12)/6
Factor -27*d**2 - 1074*d + 240.
-3*(d + 40)*(9*d - 2)
Factor 5*r**2 + 48360*r + 116934480.
5*(r + 4836)**2
Determine x so that -2*x**5/7 - 2*x**4 + 6*x**3/7 + 46*x**2/7 + 4*x = 0.
-7, -1, 0, 2
Factor 3*s**3 + 12*s**2 + 15*s + 6.
3*(s + 1)**2*(s + 2)
Suppose 2*v**2/13 - 22*v/13 + 20/13 = 0. What is v?
1, 10
Suppose i**5 + 13*i**4 + 31*i**3 + 7*i**2 - 32*i - 20 = 0. What is i?
-10, -2, -1, 1
Suppose -8*q**5 + 82*q**4 - 140*q**3 - 50*q**2 + 148*q - 32 = 0. Calculate q.
-1, 1/4, 1, 2, 8
Let -3*x**2/5 - 1158*x/5 - 111747/5 = 0. Calculate x.
-193
Solve 4*d**5 + 64*d**4 + 32*d**3 - 1024*d**2 + 1344*d = 0 for d.
-14, -6, 0, 2
Suppose 14*j**4/3 - 32*j**3/3 + 22*j**2/3 - 4*j/3 = 0. Calculate j.
0, 2/7, 1
Factor 7*v**2/2 - 313*v/2 - 45.
(v - 45)*(7*v + 2)/2
Factor v**3/2 + 23*v**2/2 + 175*v/2 + 441/2.
(v + 7)**2*(v + 9)/2
Factor -2*d**2/3 + 140*d/3 - 46.
-2*(d - 69)*(d - 1)/3
Factor -2*y**4 + 64*y**3 + 832*y**2 - 21504*y - 225792.
-2*(y - 28)**2*(y + 12)**2
Factor 2*c**2/3 - 16*c/3 + 8.
2*(c - 6)*(c - 2)/3
Solve -k**5/7 + 2*k**4/7 + 18*k**3/7 - 8*k**2/7 - 41*k/7 + 30/7 = 0.
-3, -2, 1, 5
Suppose -2*q**2/7 + 204*q/7 + 206/7 = 0. Calculate q.
-1, 103
Determine i, given that 5*i**4 - 1325*i**3 + 7815*i**2 - 11675*i + 5180 = 0.
1, 4, 259
Factor h**2 + 8*h + 7.
(h + 1)*(h + 7)
Factor -4*m**5/5 - 104*m**4/5 - 304*m**3/5 + 928*m**2 - 11264*m/5 + 8192/5.
-4*(m - 2)**3*(m + 16)**2/5
Factor 4*z**3/15 - 2*z**2/5 - 4*z/15.
2*z*(z - 2)*(2*z + 1)/15
Solve -2*o**2/3 + 10*o - 24 = 0.
3, 12
Factor 3*z**3 + 12*z**2 - 201*z + 330.
3*(z - 5)*(z - 2)*(z + 11)
Factor 2*t**4 + 4*t**3 - 264*t**2 + 1008*t.
2*t*(t - 6)**2*(t + 14)
Factor 3*b**2/7 - 37890*b/7 + 119637675/7.
3*(b - 6315)**2/7
Factor 2*z**2/5 + 18*z - 728/5.
2*(z - 7)*(z + 52)/5
Factor 2*g**3 - 60*g**2 + 600*g - 2000.
2*(g - 10)**3
Factor -3*j**2 + 15*j.
-3*j*(j - 5)
Let 4*c**5/9 + 20*c**4/3 + 224*c**3/9 + 80*c**2/3 = 0. Calculate c.
-10, -3, -2, 0
Factor z**3 - z**2 - 8*z + 12.
(z - 2)**2*(z + 3)
Factor -4*f**2 + 28*f - 24.
-4*(f - 6)*(f - 1)
Suppose -a**2 - a + 2 = 0. Calculate a.
-2, 1
Factor -2*f**4 - 4*f**3 + 4*f + 2.
-2*(f - 1)*(f + 1)**3
What is g in 4*g**3 - 820*g**2 + 1624*g = 0?
0, 2, 203
Determine l, given that -5*l**2/2 + 55*l/2 + 30 = 0.
-1, 12
Factor 3*g**4 - 18*g**3 - 120*g**2 + 576*g.
3*g*(g - 8)*(g - 4)*(g + 6)
Find j such that 2*j**2/9 + 4*j/3 - 32/9 = 0.
-8, 2
Let -35*f**4 - 5765*f**3 - 315975*f**2 - 5732375*f + 1663750 = 0. Calculate f.
-55, 2/7
Determine t so that 3*t**2 + 2127*t = 0.
-709, 0
Find m, given that -3*m**2 - 1152*m = 0.
-384, 0
Suppose k**3/3 - 4*k**2 + 17*k/3 + 10 = 0. Calculate k.
-1, 3, 10
Let -3*d**4/4 - 15*d**3/4 + 3*d**2 + 33*d + 36 = 0. Calculate d.
-4, -2, 3
Suppose 2*i**2 - 984*i + 121032 = 0. What is i?
246
Solve 4*y**3/5 - 44*y**2/5 + 136*y/5 - 96/5 = 0 for y.
1, 4, 6
Let -4*l**2 - 52976*l - 175403536 = 0. Calculate l.
-6622
Factor h**2/2 + 8*h + 24.
(h + 4)*(h + 12)/2
Factor c**3 + 131*c**2 + 4224*c - 4356.
(c - 1)*(c + 66)**2
Factor -l**2 + 4.
-(l - 2)*(l + 2)
Determine b so that -2*b**4 + 34*b**3 - 110*b**2 + 78*b = 0.
0, 1, 3, 13
Factor -5*m**5 + 25*m**4 - 30*m**3.
-5*m**3*(m - 3)*(m - 2)
Factor -15*t**2/8 + 21*t/8 + 9.
-3*(t - 3)*(5*t + 8)/8
What is v in 2*v**4/15 - 8*v**3/15 - 2*v**2/15 + 32*v/15 - 8/5 = 0?
-2, 1, 2, 3
Factor 2*v**5 - 12*v**4 - 32*v**3 - 4*v**2 + 30*v + 16.
2*(v - 8)*(v - 1)*(v + 1)**3
Let -2*g**3/7 + 174*g**2/7 - 3870*g/7 + 3698/7 = 0. Calculate g.
1, 43
Factor -4*i**2 + 352*i - 688.
-4*(i - 86)*(i - 2)
Solve z**4 - 5*z**2 + 4 = 0.
-2, -1, 1, 2
Factor 2*b**2 - 4*b - 16.
2*(b - 4)*(b + 2)
Determine m, given that 6*m**3/13 - 80*m**2/13 - 56*m/13 = 0.
-2/3, 0, 14
Determine l so that 5*l**3 + 25440*l**2 + 32359680*l = 0.
-2544, 0
Factor -3*l**3/5 - 12*l**2/5 - 3*l - 6/5.
-3*(l + 1)**2*(l + 2)/5
Suppose -9*z**3 - 111*z**2 + 77*z - 13 = 0. What is z?
-13, 1/3
Factor 2*p**3/3 + 122*p**2/3 + 640*p + 600.
2*(p + 1)*(p + 30)**2/3
Factor x**4/2 - 361*x**3 + 131041*x**2/2 - 129960*x + 64800.
(x - 360)**2*(x - 1)**2/2
What is m in 2*m**3/7 + 18*m**2/7 + 30*m/7 - 50/7 = 0?
-5, 1
Factor 5*w**2 - 8935*w + 8930.
5*(w - 1786)*(w - 1)
Factor 5*g**2 - 45*g.
5*g*(g - 9)
Factor -2*k**4 + 330*k**3 - 18762*k**2 + 398878*k - 1786524.
-2*(k - 53)**3*(k - 6)
Factor c**3/5 - 93*c**2/5 + 2208*c/5 - 2116/5.
(c - 46)**2*(c - 1)/5
Factor -4*o**4 - 1654*o**3 - 682273*o**2/4 + 171189*o/2 - 42849/4.
-(o + 207)**2*(4*o - 1)**2/4
Determine t, given that -t**4 - t**3 + 13*t**2 + t - 12 = 0.
-4, -1, 1, 3
Factor d**4/4 + 31*d**3/4 + 187*d**2/4 - 867*d/4.
d*(d - 3)*(d + 17)**2/4
Factor 2*t**3/17 - 430*t**2/17 - 1744*t/17 - 1752/17.
2*(t - 219)*(t + 2)**2/17
Find y, given that 1087*y**3/11 - 593*y**2 + 5441*y/11 - 5/11 = 0.
1/1087, 1, 5
Solve -2*h**3/13 + 22*h**2/13 + 564*h/13 + 1440/13 = 0.
-10, -3, 24
Factor j**4/4 + 19*j**3/4 + 63*j**2/4 + 45*j/4.
j*(j + 1)*(j + 3)*(j + 15)/4
Let -k**4/6 - k**3 + 8*k**2 - 37*k/3 + 11/2 = 0. Calculate k.
-11, 1, 3
Factor -5*j**3 - 175*j**2 + 385*j + 555.
-5*(j - 3)*(j + 1)*(j + 37)
Find q such that 2*q**5/11 - 50*q**4/11 - 582*q**3/11 - 1006*q**2/11 - 476*q/11 = 0.
-7, -1, 0, 34
Factor 21*z**4 + 216*z**3 + 60*z**2.
3*z**2*(z + 10)*(7*z + 2)
Suppose 18*l**3/5 + 3496*l**2/5 + 170138*l/5 + 37636/5 = 0. What is l?
-97, -2/9
Factor -2*k**3/17 - 12*k**2/17 - 10*k/17.
-2*k*(k + 1)*(k + 5)/17
Find q such that q**4/11 + 16*q**3/11 + 8*q**2 + 192*q/11 + 144/11 = 0.
-6, -2
Solve -9*r**4 - 299*r**3 - 597*r**2 + 719*r + 186 = 0.
-31, -3, -2/9, 1
Factor -c**3/6 + 3*c**2 - 16*c + 64/3.
-(c - 8)**2*(c - 2)/6
Factor t**3 + 36*t**2 - 79*t - 114.
(t - 3)*(t + 1)*(t + 38)
Let -6*h**4 + 34*h**3 - 44*h**2 + 16*h = 0. What is h?
0, 2/3, 1, 4
Factor -5*b**4 + 85*b**3 - 480*b**2 + 1040*b - 640.
-5*(b - 8)*(b - 4)**2*(b - 1)
Factor 5*z**3 + 470*z**2 + 8320*z - 135200.
5*(z - 10)*(z + 52)**2
Factor -2*s**3/5 - 216*s**2/5 + 438*s/5 - 44.
-2*(s