 -n**3 - 8*n**2.
-n**2*(n + 8)
Factor x**5 - 8*x**4 + 12*x**3.
x**3*(x - 6)*(x - 2)
Factor -6*t**2 + 105*t + 54.
-3*(t - 18)*(2*t + 1)
Find q, given that 405*q**3 + 11925*q**2 + 5240*q + 580 = 0.
-29, -2/9
Factor 4*o**2 - 1492*o + 1488.
4*(o - 372)*(o - 1)
Determine s so that 2*s**4/7 - 52*s**3/7 + 370*s**2/7 - 800*s/7 = 0.
0, 5, 16
Factor 36*x**2 + 16*x.
4*x*(9*x + 4)
What is f in -2*f**5 - 12*f**4 + 950*f**3 = 0?
-25, 0, 19
Determine n, given that 4*n**5 + 72*n**4 + 172*n**3 - 168*n**2 - 752*n - 480 = 0.
-15, -2, -1, 2
Factor 2*x**4/3 - 238*x**3/3 - 242*x**2 - 730*x/3 - 244/3.
2*(x - 122)*(x + 1)**3/3
Solve -12*h**3/7 - 39*h**2 - 1371*h/7 + 360/7 = 0 for h.
-15, -8, 1/4
Solve -2*o**4 - 184*o**3 - 5686*o**2 - 60800*o - 55296 = 0 for o.
-32, -27, -1
Factor -3*p**2 - 30*p + 225.
-3*(p - 5)*(p + 15)
Let 4*l**2 + 44*l - 48 = 0. What is l?
-12, 1
Suppose 3*h**2/7 - 396*h/7 + 13068/7 = 0. What is h?
66
Factor 2*t**2/9 - 68*t/9.
2*t*(t - 34)/9
Factor 4*g**3 + 12*g**2 + 12*g + 4.
4*(g + 1)**3
Factor w**3/6 + w**2 + 11*w/6 + 1.
(w + 1)*(w + 2)*(w + 3)/6
Suppose -s**2/5 + 19*s/5 + 42/5 = 0. Calculate s.
-2, 21
Factor 18*d**2 + 7365*d + 1227.
3*(d + 409)*(6*d + 1)
Factor -4*q**3 - 96*q**2 - 756*q - 1960.
-4*(q + 7)**2*(q + 10)
Find n, given that 3*n**4/4 + 9*n**3 + 69*n**2/4 - 90*n - 189 = 0.
-7, -6, -2, 3
Factor -2*k**4 + 238*k**3 - 928*k**2 + 920*k.
-2*k*(k - 115)*(k - 2)**2
Factor -4*s**3 - 426*s**2 - 849*s/4 - 53/2.
-(s + 106)*(4*s + 1)**2/4
Find n, given that 16*n**3 + 228*n**2 + 56*n = 0.
-14, -1/4, 0
Suppose -u**4 - 22*u**3 - 120*u**2 + 22*u + 121 = 0. Calculate u.
-11, -1, 1
Find v such that -32*v**5 - 144*v**4 + 366*v**3 + 1486*v**2 - 1584*v - 2592 = 0.
-4, -1, 9/4
Factor 4*f**2 + 120*f - 396.
4*(f - 3)*(f + 33)
Factor 5*k**4/7 + 43*k**3/7 + 124*k**2/7 + 20*k + 48/7.
(k + 2)**2*(k + 4)*(5*k + 3)/7
Let -a**5/4 + 19*a**4/2 - 49*a**3 + 61*a**2/2 + 197*a/4 - 40 = 0. What is a?
-1, 1, 5, 32
Determine d so that -170*d**2/3 + 4*d/3 = 0.
0, 2/85
Determine d, given that 2*d**4/9 - 218*d**3/9 + 5830*d**2/9 + 6050*d/9 = 0.
-1, 0, 55
Let -4*f**2 + 208*f - 204 = 0. What is f?
1, 51
Suppose 5*o**2 + 30*o + 40 = 0. What is o?
-4, -2
Determine d, given that -5*d**4/3 + 14*d**3 - 17*d**2 + 14*d/3 = 0.
0, 2/5, 1, 7
Factor 3*q**5 - 6*q**4 - 21*q**3 - 12*q**2.
3*q**2*(q - 4)*(q + 1)**2
Factor 3*d**4 + 15*d**3 + 9*d**2 - 15*d - 12.
3*(d - 1)*(d + 1)**2*(d + 4)
Factor 2*g**2 - 698*g - 700.
2*(g - 350)*(g + 1)
Factor c**5 + 4*c**4 - c**3 - 4*c**2.
c**2*(c - 1)*(c + 1)*(c + 4)
Factor -3*q**4/2 + 111*q**3/2.
-3*q**3*(q - 37)/2
Suppose 2*z**5 + 110*z**4 + 1456*z**3 - 1568*z**2 = 0. Calculate z.
-28, 0, 1
Let 3*y**4/5 - 84*y**3/5 + 156*y**2/5 = 0. What is y?
0, 2, 26
Find b such that 3*b**4 + 12761*b**3 + 18092262*b**2 + 8547587724*b - 2851206632 = 0.
-1418, 1/3
Factor 4*m**4 + 96*m**3 + 796*m**2 + 2496*m + 1792.
4*(m + 1)*(m + 7)*(m + 8)**2
Solve 2*r**5/3 - 2*r**4/3 - 4*r**3/3 = 0.
-1, 0, 2
Factor -3*l**4 - 1182*l**3 - 115236*l**2 + 235224*l.
-3*l*(l - 2)*(l + 198)**2
Find t, given that 9*t**5/4 - 341*t**4/2 + 2851*t**3 + 14322*t**2 + 17440*t + 3200 = 0.
-2, -2/9, 40
Factor 5*t**5 + 70*t**4 + 165*t**3 - 560*t**2 + 320*t.
5*t*(t - 1)**2*(t + 8)**2
Factor 20*s**4/7 - 1556*s**3/7 + 40248*s**2/7 - 343408*s/7 - 70304/7.
4*(s - 26)**3*(5*s + 1)/7
Factor -5*a**3/4 - 15*a**2 - 25*a.
-5*a*(a + 2)*(a + 10)/4
Find k such that 5*k**4 + 175*k**3 - 5*k**2 - 175*k = 0.
-35, -1, 0, 1
Factor 3*z**3 - 120*z**2 - 252*z.
3*z*(z - 42)*(z + 2)
Determine s so that -s**3/5 + 4*s**2 - 109*s/5 + 18 = 0.
1, 9, 10
Factor 3*j**5/5 - 3*j**4 + 27*j**3/5 - 21*j**2/5 + 6*j/5.
3*j*(j - 2)*(j - 1)**3/5
Find i, given that 15842*i**2/7 - 712*i/7 + 8/7 = 0.
2/89
Factor 50*f**3/9 + 68*f**2/3 + 166*f/9 + 4/3.
2*(f + 1)*(f + 3)*(25*f + 2)/9
Factor -2*t**4 + 10*t**3 + 26*t**2 + 14*t.
-2*t*(t - 7)*(t + 1)**2
What is s in -5*s**4 - 45*s**3 + 70*s**2 + 180*s - 200 = 0?
-10, -2, 1, 2
Factor 5*r**3/3 - 45*r**2 + 360*r - 720.
5*(r - 12)**2*(r - 3)/3
Suppose -2*y**5/3 - 6*y**4 + 26*y**3/3 + 86*y**2 + 72*y = 0. Calculate y.
-9, -3, -1, 0, 4
Factor m**3/5 + 14*m**2/5 - 51*m/5.
m*(m - 3)*(m + 17)/5
Let 2*m**3 - 12*m**2 + 18*m - 8 = 0. Calculate m.
1, 4
Factor -2*m**4 + 2*m**3 + 118*m**2 + 222*m + 108.
-2*(m - 9)*(m + 1)**2*(m + 6)
Solve z**2/3 + 8*z/9 = 0.
-8/3, 0
Factor 25*a**2 + 2135*a + 850.
5*(a + 85)*(5*a + 2)
Let -2*a**5 + 44*a**4 - 282*a**3 + 656*a**2 - 416*a = 0. What is a?
0, 1, 4, 13
Determine l, given that 3*l**4 - 12*l**3 - 6*l**2 + 36*l + 27 = 0.
-1, 3
Factor -21*i**3/4 + 33*i**2/2 - 3*i - 18.
-3*(i - 2)**2*(7*i + 6)/4
Solve -5*s**3/4 - s**2 + 3*s = 0.
-2, 0, 6/5
Solve -a**5/5 + 6*a**4/5 - 13*a**3/5 + 12*a**2/5 - 4*a/5 = 0 for a.
0, 1, 2
Solve 3*r**3 + 15*r**2/2 - 6*r - 9/2 = 0 for r.
-3, -1/2, 1
Factor q**3/5 + 14*q**2/5 + 5*q + 12/5.
(q + 1)**2*(q + 12)/5
Factor -7*b**2/6 + 547*b/3 - 52.
-(b - 156)*(7*b - 2)/6
Let 5*b**4 - 35*b**3 + 55*b**2 + 35*b - 60 = 0. What is b?
-1, 1, 3, 4
Determine n so that 2*n**4 - 188*n**3 + 354*n**2 + 1280*n + 736 = 0.
-1, 4, 92
Solve -5*s**3/4 - 5*s**2/4 + 20*s - 25 = 0.
-5, 2
What is q in -3*q**3 + 6*q**2 - 3*q = 0?
0, 1
Factor -27*y**3 - 7920*y**2 - 10524*y - 3504.
-3*(y + 292)*(3*y + 2)**2
Let -36*m**3 + 204*m**2 - 124*m + 20 = 0. What is m?
1/3, 5
Determine k, given that 7*k**3 - 383*k**2 - 1762*k - 472 = 0.
-4, -2/7, 59
What is b in -3*b**4/5 - 3*b**3/5 = 0?
-1, 0
Let 2*g**3/9 - 8*g/9 = 0. What is g?
-2, 0, 2
Factor -4*g**3 - 12*g**2.
-4*g**2*(g + 3)
What is a in 2*a**4 + 38*a**3 - 514*a**2 + 1842*a - 2088 = 0?
-29, 3, 4
Solve -2*j**4 - 44*j**3 - 162*j**2 + 464*j - 256 = 0.
-16, -8, 1
Find f, given that -2*f**2 + 2136*f - 2134 = 0.
1, 1067
Factor -5*m**3 + 445*m**2 - 10120*m + 9680.
-5*(m - 44)**2*(m - 1)
Factor -t**2/3 + 200*t/3.
-t*(t - 200)/3
Factor -4*g**2/7 + 52*g/7 - 48/7.
-4*(g - 12)*(g - 1)/7
Factor 4*v**2 + 14664*v + 13439556.
4*(v + 1833)**2
Factor -2*q**3/13 + 30*q**2/13 + 2*q/13 - 30/13.
-2*(q - 15)*(q - 1)*(q + 1)/13
Factor -3*f**3/4 - 33*f**2/4 - 24*f - 21.
-3*(f + 2)**2*(f + 7)/4
Determine t, given that 2*t**3 + 1418*t**2/9 - 1756*t/9 + 320/9 = 0.
-80, 2/9, 1
What is v in 4*v**5/7 - 512*v**4/7 + 256*v**3/7 + 962560*v**2/7 + 20905984*v/7 + 126877696/7 = 0?
-16, 88
Determine c, given that -c**5 + 19*c**4 - 44*c**3 - 64*c**2 = 0.
-1, 0, 4, 16
Factor 4*x**5 + 188*x**4 + 688*x**3 - 64*x**2 - 2816*x - 2752.
4*(x - 2)*(x + 2)**3*(x + 43)
Find z such that 20*z**4 + 55*z**3 - 15*z**2 = 0.
-3, 0, 1/4
What is b in 10*b**2/9 + 86*b/9 - 4 = 0?
-9, 2/5
Factor 4*n**3/5 - 36*n**2/5 + 96*n/5 - 64/5.
4*(n - 4)**2*(n - 1)/5
Factor -3*k**3/8 + 9*k**2 - 69*k/8.
-3*k*(k - 23)*(k - 1)/8
Suppose -f**4 - 10*f**3 - 23*f**2 - 14*f = 0. What is f?
-7, -2, -1, 0
Determine r so that -4*r**5 + 56*r**4 - 48*r**3 - 1736*r**2 + 2548*r + 16464 = 0.
-4, -3, 7
Suppose -116*u**4 - 1748*u**3 + 3708*u**2 - 1708*u - 136 = 0. Calculate u.
-17, -2/29, 1
Factor -y**2 - 6*y.
-y*(y + 6)
Factor 4*k**2/3 + 455*k/3 - 38.
(k + 114)*(4*k - 1)/3
What is i in -2*i**4/9 + 50*i**3/9 + 2*i**2/9 - 50*i/9 = 0?
-1, 0, 1, 25
Find y, given that -y**2/4 + 245*y/4 = 0.
0, 245
Factor -n**3/7 + 17*n**2/7 + 24*n/7 - 108/7.
-(n - 18)*(n - 2)*(n + 3)/7
Let -3*t**4 + 15*t**3 + 9*t**2 - 39*t - 30 = 0. What is t?
-1, 2, 5
Factor -2*x**2 + 120*x - 1152.
-2*(x - 48)*(x - 12)
Suppose -3*b**4/2 + 45*b**3 + 3078*b**2 - 99636*b = 0. Calculate b.
-46, 0, 38
Factor -4*m**4 + 40*m**3 + 48*m**2 - 40*m - 44.
-4*(m - 11)*(m - 1)*(m + 1)**2
Factor 3*z**4/4 - 93*z**3/2 + 945*z**2 - 11907*z/2 - 27783/4.
3*(z - 21)**3*(z + 1)/4
What is k in -8*k**4/7 + 1084*k**3/7 + 234*k**2 + 821*k/7 + 137/7 = 0?
-1/2, 137
Determine s so that -4*s**5 - 8*s**4 + 92*s**3 + 96*s**2 - 576*s = 0.
-4, 0, 3
Find y, given that 5*y**4 - 30*y**3 - 15*y**2 + 100*y - 60 = 0.
-2, 1, 6
Let -235*u**2/3 + 79*u - 2/3 = 0. Calculate u.
2/235, 1
Factor 3*j**4/4 + 139*j**3/2 + 1633*j**2 + 1058*j.
j*(j + 46)**2*(3*j + 2)/4
Determine d, given that 4*d**4 - 3276*d**3 - 19752*d**2 - 39568*d - 26400 = 0.
-2, 825
Determine i so that 2*i**2 + 100*i + 1008 = 0.
-36, -14
Suppose -s**4/3 - 95*s**3/3 - 457*s**2/3 - 211*s - 90 = 0. What is s?
-90, -3, -1
Factor -4*n**3 - 1808*n**2 - 202484*n + 412232.
-4*(n - 2)*(n + 227)**2
Factor 2*t**5/19 - 16*t**3/19 + 32*t/19.
2*t*(t - 2)**2*(t +