*a**2 - 4*a - 48.
2*(a - 2)*(a + 3)*(a + 4)
Determine v, given that 3*v**3 + 3*v**2 = 0.
-1, 0
Factor -5*a**4 + 15*a**3 - 10*a**2.
-5*a**2*(a - 2)*(a - 1)
Determine m, given that 2*m**3 + 1502*m**2 + 284240*m + 839256 = 0.
-374, -3
Factor 5*v**3 - 10*v**2 + 5*v.
5*v*(v - 1)**2
Factor -w**4 - 21*w**3 - 43*w**2 + 741*w - 676.
-(w - 4)*(w - 1)*(w + 13)**2
Factor -13500*q**5 + 2700*q**4 - 180*q**3 + 4*q**2.
-4*q**2*(15*q - 1)**3
Factor -2*p**3/13 + 54*p**2/13 + 1458*p/13 + 7290/13.
-2*(p - 45)*(p + 9)**2/13
Solve -d**4 + 348*d**3 + d**2 - 348*d = 0 for d.
-1, 0, 1, 348
Determine f, given that -2*f**3/17 + 6*f**2/17 - 4*f/17 = 0.
0, 1, 2
Let -4*n**3 - 808*n**2 - 39984*n + 83232 = 0. Calculate n.
-102, 2
Factor 3*h**4/5 - 447*h**3/5 - 2376*h**2 - 98112*h/5 - 265728/5.
3*(h - 173)*(h + 8)**3/5
Solve 13*g**2 - 16*g + 3 = 0.
3/13, 1
Solve -16*z**2 - 412*z - 2496 = 0.
-16, -39/4
Factor t**3/5 + 3*t**2/5 - 16*t/5 + 12/5.
(t - 2)*(t - 1)*(t + 6)/5
Factor -c**3/3 + 37*c**2/3 - 120*c + 108.
-(c - 18)**2*(c - 1)/3
Find a such that -4*a**4 + 17*a**3 - 13*a**2 - 9*a + 9 = 0.
-3/4, 1, 3
Factor -5*a**4 + 140*a**3 - 1350*a**2 + 4860*a - 3645.
-5*(a - 9)**3*(a - 1)
Factor 4*o**2 - 2648*o + 2644.
4*(o - 661)*(o - 1)
Factor -q**3/5 + 9*q**2 - 504*q/5.
-q*(q - 24)*(q - 21)/5
Determine y so that -2*y**5/3 + 4*y**4 - 28*y**3/3 + 32*y**2/3 - 6*y + 4/3 = 0.
1, 2
Determine v so that -4*v**2 + 288*v - 560 = 0.
2, 70
Factor -75*z**3 - 515*z**2 - 380*z + 60.
-5*(z + 1)*(z + 6)*(15*z - 2)
Determine w so that -2*w**4 - 38*w**3 - 68*w**2 = 0.
-17, -2, 0
Factor -3*g**3/2 - 27*g**2 + 117*g/2 - 30.
-3*(g - 1)**2*(g + 20)/2
Suppose -16*x**4/3 - 44*x**3/3 - 6*x**2 + 14*x/3 + 4/3 = 0. What is x?
-2, -1, -1/4, 1/2
Solve 15*d**4 + 129*d**3 + 147*d**2 - 705*d - 450 = 0.
-5, -3/5, 2
Factor -a**2/2 - 3*a + 27/2.
-(a - 3)*(a + 9)/2
Factor 4*a**2/5 - 5592*a/5 + 5588/5.
4*(a - 1397)*(a - 1)/5
Suppose o**5/2 + 27*o**4/2 + 205*o**3/2 + 333*o**2/2 + 77*o = 0. Calculate o.
-14, -11, -1, 0
What is n in -2*n**4/11 + 280*n**3/11 - 12486*n**2/11 + 169120*n/11 + 181888/11 = 0?
-1, 29, 56
Factor i**2/2 - 39*i/2 + 175.
(i - 25)*(i - 14)/2
Find m such that -2*m**5/3 + 8*m**4/3 - 32*m**2/3 + 32*m/3 = 0.
-2, 0, 2
What is n in 2*n**3/5 + 6*n**2 - 1746*n/5 + 4914/5 = 0?
-39, 3, 21
Factor c**5 + 62*c**4 + 1132*c**3 + 5384*c**2 + 9856*c + 6272.
(c + 2)**3*(c + 28)**2
Find b, given that -72075*b**3/2 - 214365*b**2/2 + 2784*b - 18 = 0.
-3, 2/155
Factor j**5 - 60*j**4 + 757*j**3 + 4806*j**2 - 11648*j + 6144.
(j - 32)**2*(j - 1)**2*(j + 6)
Factor -70*t**2 - 634*t - 36.
-2*(t + 9)*(35*t + 2)
Find l such that -3*l**5/4 + 7*l**4/4 + 39*l**3/4 + 13*l**2/4 - 9*l - 5 = 0.
-2, -1, -2/3, 1, 5
Find u, given that 3*u**4 - 15*u**3 - 3*u**2 + 15*u = 0.
-1, 0, 1, 5
Solve 18*l**4 + 6*l**3 - 436*l**2 + 960*l - 576 = 0 for l.
-6, 4/3, 3
Find l such that -l**3/2 + 111*l**2/2 - 219*l/2 + 109/2 = 0.
1, 109
Factor 5*b**3 - 40*b**2 - 100*b.
5*b*(b - 10)*(b + 2)
Determine l, given that -l**3 + 7*l**2 + 25*l - 175 = 0.
-5, 5, 7
What is x in -8*x**5/7 + 2*x**4 + 26*x**3/7 - 8*x**2 + 24*x/7 = 0?
-2, 0, 3/4, 1, 2
Solve 5*v**4 + 40*v**3 - 455*v**2 - 490*v = 0 for v.
-14, -1, 0, 7
Let -2*h**3 + 10*h**2 - 14*h + 6 = 0. Calculate h.
1, 3
Suppose -4*i**2/5 + 372*i/5 = 0. Calculate i.
0, 93
Let 3*m**4/5 + 9*m**3/5 - 18*m**2 - 384*m/5 - 288/5 = 0. Calculate m.
-4, -1, 6
Let 4*v**5/3 - 1516*v**4/3 + 192025*v**3/3 - 2730798*v**2 + 2683044*v - 666792 = 0. Calculate v.
1/2, 126
Let 3*l**4/7 - 402*l**2/7 - 216*l + 273 = 0. What is l?
-7, 1, 13
Solve -2*l**4 + 18*l**3 + 36*l**2 - 136*l - 240 = 0.
-2, 3, 10
Let i**5/8 - 3*i**4/8 - i**3/8 + 7*i**2/8 - 1/2 = 0. What is i?
-1, 1, 2
Determine x, given that 4*x**5 + 40*x**4 + 88*x**3 + 16*x**2 - 92*x - 56 = 0.
-7, -2, -1, 1
Let -2*p**4 - 6*p**3 + 38*p**2 + 6*p - 36 = 0. Calculate p.
-6, -1, 1, 3
Solve -2*t**3/5 + 653*t**2/5 + 328*t/5 - 327/5 = 0 for t.
-1, 1/2, 327
Factor 2*m**4/9 + 128*m**3/9.
2*m**3*(m + 64)/9
Let o**2/11 + 1318*o/11 + 434281/11 = 0. Calculate o.
-659
Factor 33*f**4 - 201*f**3 + 414*f**2 - 300*f + 24.
3*(f - 2)**3*(11*f - 1)
Suppose 2*o**5/7 - 4*o**4/7 - 34*o**3/7 + 20*o**2 - 184*o/7 + 80/7 = 0. What is o?
-5, 1, 2
Let -4*u**5/3 - 2*u**4/3 + 4*u**3/3 + 2*u**2/3 = 0. Calculate u.
-1, -1/2, 0, 1
Let k**3 - 58*k**2 + 960*k - 4896 = 0. What is k?
12, 34
Factor -14*f**2/3 - 379*f/6 - 53/3.
-(4*f + 53)*(7*f + 2)/6
Find w such that 2*w**3/13 + 36*w**2/13 - 6*w + 40/13 = 0.
-20, 1
Solve -2*d**3/5 - 28*d**2/5 + 2*d/5 + 28/5 = 0.
-14, -1, 1
Solve 2*u**5 + 8*u**4 - 38*u**3 + 28*u**2 = 0.
-7, 0, 1, 2
Determine r, given that r**2 + 4*r + 3 = 0.
-3, -1
Find w such that -2*w**3/13 + 32*w**2/13 - 128*w/13 = 0.
0, 8
Suppose 5*x**3 + 45*x**2 + 135*x + 135 = 0. Calculate x.
-3
Determine u so that -2*u**4 - 152*u**3 + 1476*u**2 - 4536*u + 4590 = 0.
-85, 3
What is h in h**4/4 - 49*h**3/4 - 96*h**2 - 116*h + 224 = 0?
-4, 1, 56
Determine d so that d**4 + 713*d**3/2 - 179*d**2 - 357*d/2 = 0.
-357, -1/2, 0, 1
Factor 28*g**3 - 64*g**2 - 68*g + 24.
4*(g - 3)*(g + 1)*(7*g - 2)
Determine s, given that 10*s**3 + 278*s**2 - 56*s = 0.
-28, 0, 1/5
Factor m**2/4 + 11*m/2 + 121/4.
(m + 11)**2/4
Factor -3*j**2/7 - 1356*j/7.
-3*j*(j + 452)/7
Factor c**3/9 + 7*c**2/9 - 40*c/9 + 44/9.
(c - 2)**2*(c + 11)/9
Factor 2*v**2/17 + 40*v/17 - 56.
2*(v - 14)*(v + 34)/17
Determine l, given that l**2 - 38*l - 168 = 0.
-4, 42
Factor -5*a**3 - 50*a**2 - 140*a - 120.
-5*(a + 2)**2*(a + 6)
Factor -3*d**4 - 540*d**3 + 543*d**2.
-3*d**2*(d - 1)*(d + 181)
Factor -4*z**2 + 184*z + 1020.
-4*(z - 51)*(z + 5)
Find y such that 2*y**3/11 + 578*y**2/11 + 40880*y/11 - 127896/11 = 0.
-146, 3
Suppose n**3 + 1199*n**2/3 + 5525*n/3 - 1975/3 = 0. What is n?
-395, -5, 1/3
Factor -3*n**3 + 711*n**2 + 1431*n + 717.
-3*(n - 239)*(n + 1)**2
What is f in -8*f**4/3 + 10*f**3 - 50*f/3 - 4 = 0?
-1, -1/4, 2, 3
Find k, given that -6*k**3 + 32*k**2 + 66*k + 28 = 0.
-1, -2/3, 7
Solve -3*z**4/7 - 261*z**3/7 + 1371*z**2/7 - 855*z/7 - 2484/7 = 0 for z.
-92, -1, 3
Solve -5*q**2 - 110*q - 105 = 0 for q.
-21, -1
Solve -l**4/2 + 41*l**3 - 1200*l**2 + 14375*l - 109375/2 = 0.
7, 25
Determine z, given that 2*z**5 + 32*z**4 + 126*z**3 - 32*z**2 - 128*z = 0.
-8, -1, 0, 1
Find t such that -t**4 + 82*t**3 - 1761*t**2 + 3280*t - 1600 = 0.
1, 40
Determine g so that 3*g**3 + 33*g**2 - 48*g - 960 = 0.
-8, 5
Find r such that 2*r**5/9 - 26*r**4/3 + 266*r**3/3 - 722*r**2/9 = 0.
0, 1, 19
Let 4*b**2 - 160*b + 1600 = 0. Calculate b.
20
Let 1225*x**2/4 - 105*x/2 + 9/4 = 0. Calculate x.
3/35
Factor -2*q**2/7 - 780*q/7 - 76050/7.
-2*(q + 195)**2/7
Factor -3*a**3/8 + 39*a**2/4 + 81*a/8.
-3*a*(a - 27)*(a + 1)/8
Factor -52*l**3/5 + 112*l**2/5 - 16*l/5.
-4*l*(l - 2)*(13*l - 2)/5
Determine l, given that -l**3 + 211*l**2 - 2200*l = 0.
0, 11, 200
Find s such that s**2 + 1273*s + 1272 = 0.
-1272, -1
Factor -2*w**3/3 - 142*w**2/3 - 908*w/3 - 256.
-2*(w + 1)*(w + 6)*(w + 64)/3
Factor -q**2 + 10*q - 24.
-(q - 6)*(q - 4)
Determine m so that m**5 + 12*m**4 - 651*m**3 + 3562*m**2 + 9120*m + 4896 = 0.
-34, -1, 12
Suppose y**5/4 + 17*y**4/2 + 61*y**3/4 - 25*y**2 - 31*y + 32 = 0. Calculate y.
-32, -2, 1
Find l such that 5*l**3/2 + 20*l**2 - 905*l/2 + 1330 = 0.
-19, 4, 7
Determine a so that 2*a**2/5 + 5456*a/5 + 3720992/5 = 0.
-1364
Factor 45*j**2 + 102*j + 24.
3*(j + 2)*(15*j + 4)
Factor 3*m**5 - 48*m**4 + 192*m**3.
3*m**3*(m - 8)**2
Factor 4*g**4/5 + 8*g**3/5 - 196*g**2/5 - 392*g/5.
4*g*(g - 7)*(g + 2)*(g + 7)/5
Factor 6*d**2/7 - 22*d/7 - 4.
2*(d + 1)*(3*d - 14)/7
Let -k**5 + 321*k**4 - 34347*k**3 + 1225043*k**2 = 0. What is k?
0, 107
Suppose 12*m**4 - 316*m**3 + 2376*m**2 - 3456*m - 3456 = 0. Calculate m.
-2/3, 3, 12
What is d in -4*d**5 - 127*d**4 - 212*d**3 - 59*d**2 + 30*d = 0?
-30, -1, 0, 1/4
Solve 24*h**4/11 - 2184*h**3/11 + 50766*h**2/11 - 49140*h/11 + 12150/11 = 0 for h.
1/2, 45
Factor -5*g**2 - 85*g - 80.
-5*(g + 1)*(g + 16)
Factor d**3/9 - 1636*d**2/3 + 2676496*d/3 - 4378747456/9.
(d - 1636)**3/9
Factor 4*v**2 - 4*v.
4*v*(v - 1)
Factor b**5 - 4*b**3 + 2*b**2 + 3*b - 2.
(b - 1)**3*(b + 1)*(b + 2)
Factor 3*f**3/7 + 171*f**2 + 22743*f + 1008273.
3*(f + 133)**3/7
Factor -c**2/2 - 147*c/2 - 423.
-(c + 6)*(c + 141)/2
What is s in -2*s**2/7 + 74*s/7 - 20 = 0?
2, 35
Factor -4*o**5/5 + 28*o**4/5 - 12*o**3 