v**2 + 27*v + 108.
-3*(v - 12)*(v + 3)
Find w such that 6*w**5 + 4*w**4 - 58*w**3/3 + 4*w**2/3 + 40*w/3 - 16/3 = 0.
-2, -1, 2/3, 1
Factor -98*j**5/5 + 238*j**4/5 + 32*j**3 + 24*j**2/5.
-2*j**2*(j - 3)*(7*j + 2)**2/5
Factor -275560*p**3 + 21165*p**2 + 1500*p + 20.
-5*(8*p - 1)*(83*p + 2)**2
Let -5*c**2/4 + 263*c/4 + 53/2 = 0. What is c?
-2/5, 53
Determine w so that -w**3/4 - 51*w**2/2 - 585*w/4 - 216 = 0.
-96, -3
Suppose d**3/2 - 93*d**2/2 + 1368*d - 12274 = 0. Calculate d.
17, 38
Factor 4*o**4 + 44*o**3 - 104*o**2.
4*o**2*(o - 2)*(o + 13)
Let -32*c**5/5 - 112*c**4/5 - 66*c**3/5 + 56*c**2/5 - 8*c/5 = 0. What is c?
-2, 0, 1/4
Solve -5*x**4 + 130*x**3 + 760*x**2 + 510*x - 1395 = 0 for x.
-3, 1, 31
Find g such that -g**3/2 - 627*g**2/2 - 1248*g - 1246 = 0.
-623, -2
Factor 4*c**2/7 - 4*c/7 - 48/7.
4*(c - 4)*(c + 3)/7
Let 22*j**3 - 134*j**2/5 + 16*j/5 + 8/5 = 0. What is j?
-2/11, 2/5, 1
Solve 3*y**2 - 114*y + 576 = 0 for y.
6, 32
What is u in -2*u**3/7 - 2*u**2 + 34*u/7 - 18/7 = 0?
-9, 1
What is a in -2*a**5/9 - 16*a**4/9 - 16*a**3/3 - 68*a**2/9 - 46*a/9 - 4/3 = 0?
-3, -2, -1
Factor -121*p**3 - 143*p**2 - 23*p - 1.
-(p + 1)*(11*p + 1)**2
Determine v, given that v**2 - 257*v + 2706 = 0.
11, 246
Solve 14*c**4/3 - 34*c**3 + 224*c**2/3 - 56*c + 32/3 = 0 for c.
2/7, 1, 2, 4
Find s such that 12*s**3 - 88*s**2 + 76*s = 0.
0, 1, 19/3
Factor -v**2 + 314*v - 24649.
-(v - 157)**2
Factor 16*w**3 + 744*w**2 + 369*w + 46.
(w + 46)*(4*w + 1)**2
Determine n, given that 24*n**5 + 46*n**4 - 4576*n**3/3 + 316*n**2/3 + 584*n + 126 = 0.
-9, -1/3, 3/4, 7
Suppose -4*d**3 - 888*d**2 - 884*d = 0. What is d?
-221, -1, 0
Let -4*j**5 + 8*j**4 + 128*j**3 + 104*j**2 - 124*j - 112 = 0. What is j?
-4, -1, 1, 7
Factor f**5 - 640*f**4 - 3216*f**3 - 5798*f**2 - 4513*f - 1290.
(f - 645)*(f + 1)**3*(f + 2)
Factor 4*w**2/7 + 52*w/7 + 48/7.
4*(w + 1)*(w + 12)/7
Factor -2*z**3 - 84*z**2 + 2*z + 84.
-2*(z - 1)*(z + 1)*(z + 42)
Factor 2*a**2 - 1416*a + 1414.
2*(a - 707)*(a - 1)
Let -a**3/3 - 107*a**2 - 11449*a - 1225043/3 = 0. What is a?
-107
Factor 2*i**3/9 - 4*i**2/9 + 2*i/9.
2*i*(i - 1)**2/9
Suppose -j**3/4 - 54*j**2 - 11877*j/4 - 11449/2 = 0. What is j?
-107, -2
Solve -7*k**3/4 - 143*k**2/4 + 87*k/4 + 63/4 = 0.
-21, -3/7, 1
Factor -2*y**4/3 - 136*y**3/3 - 134*y**2/3.
-2*y**2*(y + 1)*(y + 67)/3
Find v such that -v**4 + 11*v**3 - 44*v**2 + 76*v - 48 = 0.
2, 3, 4
Determine q, given that 3*q**3/4 + 117*q**2/4 + 429*q/4 + 315/4 = 0.
-35, -3, -1
Factor -2*a**4 + 324*a**2 - 13122.
-2*(a - 9)**2*(a + 9)**2
Determine r, given that -4*r**2 - 540*r + 1656 = 0.
-138, 3
Determine g, given that -4*g**3/11 + 606*g**2/11 - 300*g/11 - 302/11 = 0.
-1/2, 1, 151
Find a, given that -a**5/5 + 34*a**4/5 - 151*a**3/5 + 34*a**2 + 124*a/5 - 232/5 = 0.
-1, 2, 29
Suppose g**4 + 8*g**3 + 19*g**2 + 12*g = 0. What is g?
-4, -3, -1, 0
Solve 2*s**2/13 - 8*s - 312 = 0.
-26, 78
Factor 2*c**3/7 - 5100*c**2/7 + 4335000*c/7 - 1228250000/7.
2*(c - 850)**3/7
Factor -6*r**3/7 + 348*r**2/7 + 510*r + 3216/7.
-6*(r - 67)*(r + 1)*(r + 8)/7
Factor -f**2/7 + 29*f + 204/7.
-(f - 204)*(f + 1)/7
Factor 16*t**5 + 104*t**4 - 63*t**3 - 50*t**2 - 7*t.
t*(t - 1)*(t + 7)*(4*t + 1)**2
Determine l, given that 27*l**5 + 216*l**4 + 177*l**3 - 96*l**2 - 84*l = 0.
-7, -1, -2/3, 0, 2/3
Suppose -6*p**5/7 - 16*p**4/7 + 40*p**3/7 + 20*p**2 + 18*p + 36/7 = 0. What is p?
-3, -1, -2/3, 3
Factor -2*r**3 - 234*r**2 + 716*r - 480.
-2*(r - 2)*(r - 1)*(r + 120)
Find s, given that 4*s**5 - 62*s**4 - 260*s**3 - 114*s**2 = 0.
-3, -1/2, 0, 19
Find f, given that f**5/8 - 11*f**4 + 386*f**3 - 6752*f**2 + 58880*f - 204800 = 0.
16, 20
Factor x**5/4 - 51*x**3/4 + 49*x**2/2 - 12*x.
x*(x - 6)*(x - 1)**2*(x + 8)/4
Determine b, given that -2*b**2 + 52*b - 50 = 0.
1, 25
Factor -3*z**2 + 222*z + 225.
-3*(z - 75)*(z + 1)
Factor -v**3 - 3*v**2 + 9*v + 27.
-(v - 3)*(v + 3)**2
Let -m**5/2 + 247*m**4 - 30503*m**3 - 742*m**2 + 184015*m/2 - 61009 = 0. What is m?
-2, 1, 247
Find p, given that p**5/8 - p**4/8 - 23*p**3/8 - 39*p**2/8 - 9*p/4 = 0.
-3, -1, 0, 6
What is a in 4*a**5 - 64*a**4/7 - 68*a**3/7 + 136*a**2/7 + 80*a/7 - 32/7 = 0?
-1, 2/7, 2
Suppose -3*v**5/2 + 6*v**4 + 108*v**3 - 432*v**2 - 1944*v + 7776 = 0. What is v?
-6, 4, 6
Factor 3*g**4 - 600*g**3 - 1818*g**2 - 1824*g - 609.
3*(g - 203)*(g + 1)**3
Factor 2*b**4/11 - 30*b**3/11 - 6*b**2 - 34*b/11.
2*b*(b - 17)*(b + 1)**2/11
What is q in -7*q**3 + 23*q**2/6 + 18*q + 14/3 = 0?
-7/6, -2/7, 2
Factor 5*z**3 - 25*z**2.
5*z**2*(z - 5)
Factor -3*b**3 + 57*b**2 + 60*b.
-3*b*(b - 20)*(b + 1)
Factor 2*x**3/7 - 64*x**2/7 + 120*x/7.
2*x*(x - 30)*(x - 2)/7
Factor -3*k**2 - 1368*k - 2724.
-3*(k + 2)*(k + 454)
Solve -4*n**4/9 + 476*n**3/9 - 3800*n**2/3 - 430000*n/9 + 15500000/9 = 0.
-31, 50
Factor 3*c**2/4 - 81*c/2 + 987/4.
3*(c - 47)*(c - 7)/4
Solve c**2 - 33*c - 34 = 0 for c.
-1, 34
Suppose 3*c**4 - 18*c**3 + 36*c**2 - 24*c = 0. Calculate c.
0, 2
Solve 4*u**4 + 52*u**3 - 320*u**2 - 816*u = 0 for u.
-17, -2, 0, 6
Factor c**4 - 8*c**3 + 15*c**2.
c**2*(c - 5)*(c - 3)
Factor 2*x**2/5 + 704*x/5.
2*x*(x + 352)/5
Factor 2*j**4/11 + 12*j**3/11 - 108*j/11 - 162/11.
2*(j - 3)*(j + 3)**3/11
Determine h, given that -14*h**4 + 344*h**3 - 514*h**2 + 184*h = 0.
0, 4/7, 1, 23
Suppose 192*r**5 - 160*r**4 - 1236*r**3 - 132*r**2 + 304*r - 48 = 0. What is r?
-2, -2/3, 1/4, 3
Solve -2*l**5 + 18*l**4 + 2*l**3 - 18*l**2 = 0.
-1, 0, 1, 9
Suppose u**3 - u**2 - 16*u - 20 = 0. What is u?
-2, 5
Determine d, given that -8*d**5/5 - 38*d**4/5 + 58*d**3/5 - 12*d**2/5 = 0.
-6, 0, 1/4, 1
Factor z**4 + 14*z**3 + 25*z**2 + 12*z.
z*(z + 1)**2*(z + 12)
Factor 2*u**4 - 12*u**3 + 8*u**2 + 12*u - 10.
2*(u - 5)*(u - 1)**2*(u + 1)
Suppose 2*u**4/5 - 28*u**3/5 + 82*u**2/5 - 8*u/5 - 24 = 0. What is u?
-1, 2, 3, 10
Determine a, given that a**3 + 127*a**2 - 258*a = 0.
-129, 0, 2
Let 4*b**4/15 - 142*b**3/15 + 68*b**2/5 + 2*b/15 - 68/15 = 0. What is b?
-1/2, 1, 34
Let -3*o**2/4 + 87*o/4 - 21 = 0. Calculate o.
1, 28
Determine o, given that -o**3 + 43*o + 42 = 0.
-6, -1, 7
Solve 2*d**3 + 610*d**2 + 596*d - 3648 = 0 for d.
-304, -3, 2
Determine i so that -i**3/4 - 273*i**2/4 - 24843*i/4 - 753571/4 = 0.
-91
What is i in -150*i**5 + 17520*i**4/7 - 69432*i**3/7 + 42204*i**2/7 - 9102*i/7 + 660/7 = 0?
1/5, 2/7, 5, 11
Factor -2*u**2/15 - 172*u/5.
-2*u*(u + 258)/15
Solve s**4/7 - 8*s**3/7 + 9*s**2/7 + 18*s/7 = 0.
-1, 0, 3, 6
Suppose 20*w**5 - 65*w**4 - 305*w**3 - 160*w**2 + 60*w = 0. Calculate w.
-2, -1, 0, 1/4, 6
Determine i, given that -7*i**5/4 - 61*i**4/4 - 5*i**3/2 + 65*i**2 + 38*i - 16 = 0.
-8, -2, -1, 2/7, 2
Factor 2*n**5 - 2*n**4 - 4*n**3.
2*n**3*(n - 2)*(n + 1)
Factor 2*d**2/5 + 28*d/5 - 6.
2*(d - 1)*(d + 15)/5
What is c in -110*c**3/7 - 108*c**2/7 + 6*c/7 + 4/7 = 0?
-1, -2/11, 1/5
Factor -4*r**5 + 136*r**4 - 260*r**3 + 128*r**2.
-4*r**2*(r - 32)*(r - 1)**2
Factor -28*b**2 - 4264*b - 1216.
-4*(b + 152)*(7*b + 2)
Factor -i**2/9 + 13*i/9 + 10/3.
-(i - 15)*(i + 2)/9
Factor -5*z**3 - 30*z**2 - 40*z.
-5*z*(z + 2)*(z + 4)
Factor -l**2 + 436*l - 47524.
-(l - 218)**2
Solve -2*a**4/3 - 6*a**3 - 26*a**2/3 + 6*a + 28/3 = 0 for a.
-7, -2, -1, 1
Factor x**3/4 - 745*x**2/4 + 138383*x/4 + 139129/4.
(x - 373)**2*(x + 1)/4
Find a such that -4*a**4 + 52*a**3 - 44*a**2 - 52*a + 48 = 0.
-1, 1, 12
Factor -5*t**2 - 25*t - 30.
-5*(t + 2)*(t + 3)
Suppose 32*l**4 + 204*l**3 + 360*l**2 + 108*l = 0. What is l?
-3, -3/8, 0
Factor -67*t**2/4 + 63*t/4 + 1.
-(t - 1)*(67*t + 4)/4
Factor -2*l**3/11 - 24*l**2/11 - 82*l/11 - 60/11.
-2*(l + 1)*(l + 5)*(l + 6)/11
Factor -4*o**5 + 16*o**3 + 8*o**2 - 12*o - 8.
-4*(o - 2)*(o - 1)*(o + 1)**3
Factor 4*m**3 - 3152*m**2 - 9484*m - 6328.
4*(m - 791)*(m + 1)*(m + 2)
Suppose -q**3 + 25*q**2 - 167*q + 143 = 0. Calculate q.
1, 11, 13
Factor -a**4/2 + 25*a**3 - 669*a**2/2 + 504*a + 864.
-(a - 24)**2*(a - 3)*(a + 1)/2
Factor 5*l**5 - 45*l**4 + 145*l**3 - 215*l**2 + 150*l - 40.
5*(l - 4)*(l - 2)*(l - 1)**3
Solve 15*s**4 - 10*s**3 - 5*s**2 = 0.
-1/3, 0, 1
Suppose 4*q**2 - 172*q + 480 = 0. Calculate q.
3, 40
Factor 144*v**5 - 176*v**4 + 68*v**3 - 8*v**2.
4*v**2*(2*v - 1)**2*(9*v - 2)
Solve -6*t**5 - 56*t**4 - 152*t**3 - 64*t**2 + 128*t = 0.
-4, -2, 0, 2/3
Let 21*f**5/8 + 135*f**4/2 - 765*f**3/8 - 120*f**2 + 81*f/2 = 0. Calculate f.
-27, -1, 0, 2/7, 2
Factor -4*q**4 + 104*q**3 - 284*q