640 = 0 for v.
-16, -2, 2
Solve 2*d**3/17 + 20*d**2/17 + 48*d/17 = 0 for d.
-6, -4, 0
Factor 2*r**3/5 - 32*r**2/5.
2*r**2*(r - 16)/5
Find w such that -w**3 - 140*w**2 - 6528*w - 101376 = 0.
-48, -44
Let 4*l**3/5 + 84*l**2/5 - 36*l + 92/5 = 0. Calculate l.
-23, 1
Suppose -3*k**4 - 156*k**3 - 1506*k**2 + 13572*k - 22707 = 0. What is k?
-29, 3
Determine b, given that 4*b**4 - 88*b**3 + 160*b**2 = 0.
0, 2, 20
What is d in -4*d**2 - 412*d - 3384 = 0?
-94, -9
Determine o, given that 3*o**2/5 + 552*o/5 + 1092/5 = 0.
-182, -2
Find k, given that -k**2/5 - 3*k + 76/5 = 0.
-19, 4
Suppose 62*m**5/23 + 748*m**4/23 + 3024*m**3/23 + 224*m**2 + 3296*m/23 + 192/23 = 0. Calculate m.
-6, -2, -2/31
Solve -3*o**5/7 - 33*o**4/7 - 78*o**3/7 - 48*o**2/7 = 0.
-8, -2, -1, 0
Determine k so that -3*k**2 - 2568*k - 549552 = 0.
-428
Solve 5*u**3 - 70*u**2 - 1545*u - 5670 = 0.
-7, -6, 27
Suppose -430*n**2 + 425*n + 5 = 0. What is n?
-1/86, 1
Solve 7*u**3/5 + 16*u**2/5 - 148*u/5 + 176/5 = 0 for u.
-44/7, 2
Factor n**2/6 + n + 3/2.
(n + 3)**2/6
Factor 2*r**4 - 12*r**3 + 6*r**2 + 20*r.
2*r*(r - 5)*(r - 2)*(r + 1)
Factor 2*v**2/5 + 1096*v/5 - 440.
2*(v - 2)*(v + 550)/5
Factor -x**4 + 61*x**3 - 288*x**2 + 452*x - 224.
-(x - 56)*(x - 2)**2*(x - 1)
Factor -3*u**3/8 - 33*u**2/8 + 555*u/8 - 1575/8.
-3*(u - 5)**2*(u + 21)/8
Factor 18*b**3/7 + 239*b**2/7 + 63*b - 110/7.
(b + 11)*(2*b + 5)*(9*b - 2)/7
Solve -3*w**5 + 9*w**4 - 12*w**2 = 0 for w.
-1, 0, 2
Let -2*g**2/5 - 42*g + 2052/5 = 0. What is g?
-114, 9
Determine y, given that -y**2 - 9*y - 8 = 0.
-8, -1
Factor -2*a**4 + 12*a**3 + 230*a**2 + 600*a.
-2*a*(a - 15)*(a + 4)*(a + 5)
Factor -5*g**4 - 110*g**3 + 495*g**2 + 3140*g + 3500.
-5*(g - 7)*(g + 2)**2*(g + 25)
Find s, given that 5*s**2 + 65*s + 110 = 0.
-11, -2
Factor q**5/3 + q**4/3 - q**3/3 - q**2/3.
q**2*(q - 1)*(q + 1)**2/3
Suppose -32*w**3 + 304*w**2 - 722*w = 0. Calculate w.
0, 19/4
Determine y so that 6*y**5 - 70*y**4 + 246*y**3 - 234*y**2 - 108*y = 0.
-1/3, 0, 3, 6
Suppose 9*c**2 - 16*c + 64/9 = 0. What is c?
8/9
Determine i so that 7*i**4/2 - 121*i**3/2 - 46*i**2 + 18*i = 0.
-1, 0, 2/7, 18
Suppose -4*h**5/3 - 4*h**4 - 4*h**3/3 + 4*h**2 + 8*h/3 = 0. Calculate h.
-2, -1, 0, 1
Solve -r**3/2 - 23*r**2/4 - 55*r/4 - 17/2 = 0 for r.
-17/2, -2, -1
Factor -2402*i**2/13 - 2404*i/13 - 2/13.
-2*(i + 1)*(1201*i + 1)/13
Factor -2*m**2/7 + 10*m/7 + 4.
-2*(m - 7)*(m + 2)/7
Let p**4/8 - 49*p**3/8 - 101*p**2/8 - 51*p/8 = 0. Calculate p.
-1, 0, 51
Factor -b**4 + 7*b**3 - 18*b**2 + 20*b - 8.
-(b - 2)**3*(b - 1)
Suppose 10*p**5 - 22*p**4 - 36*p**3 + 88*p**2 - 16*p = 0. What is p?
-2, 0, 1/5, 2
Let o**2 + 7*o + 12 = 0. What is o?
-4, -3
Find y such that y**5 - 7*y**4 + 17*y**3 - 17*y**2 + 6*y = 0.
0, 1, 2, 3
Factor -4*x**4 - 20*x**3 - 32*x**2 - 16*x.
-4*x*(x + 1)*(x + 2)**2
Let u**5 - 2*u**4 - 103*u**3 - 472*u**2 - 624*u = 0. Calculate u.
-4, -3, 0, 13
Find m, given that 2*m**2/9 - 254*m/3 + 760/9 = 0.
1, 380
Factor -3*k**4 - 6849*k**3 - 13689*k**2 - 6843*k.
-3*k*(k + 1)**2*(k + 2281)
What is t in -3*t**2/2 + 3*t/2 + 18 = 0?
-3, 4
Determine w, given that -15*w**4 - 5*w**3 + 105*w**2 + 125*w + 30 = 0.
-2, -1, -1/3, 3
Suppose -3*v**2 - 96*v - 576 = 0. Calculate v.
-24, -8
Find b, given that -2*b**2/9 - 160*b/9 - 3200/9 = 0.
-40
Solve 4*z**3 - 15004*z**2 - 30020*z - 15012 = 0 for z.
-1, 3753
Solve 3*o**5 + 3*o**4 - 27*o**3 - 15*o**2 + 48*o + 36 = 0.
-3, -1, 2
Factor -3*b**3/2 + 4*b**2 - 3*b/2 - 1.
-(b - 2)*(b - 1)*(3*b + 1)/2
Factor 5*i**2 + 320*i + 915.
5*(i + 3)*(i + 61)
Let -2*d**2/23 + 64*d/23 - 224/23 = 0. What is d?
4, 28
Determine a, given that -6*a**4/13 - 8*a**3/13 + 274*a**2/13 - 388*a/13 - 160/13 = 0.
-8, -1/3, 2, 5
Determine i so that 4*i**4 - 12*i**3 + 4*i**2 + 12*i - 8 = 0.
-1, 1, 2
Determine b so that 3*b**3 - 36*b**2 - 3*b + 36 = 0.
-1, 1, 12
Factor 2*c**2/15 - 2432*c/15.
2*c*(c - 1216)/15
Suppose -t**2/2 - 16*t - 31/2 = 0. What is t?
-31, -1
Determine s, given that s**3/3 + 2*s**2 + 8*s/3 = 0.
-4, -2, 0
Factor -z**4 + 234*z**3 - 18252*z**2 + 474552*z.
-z*(z - 78)**3
Find v, given that 3*v**2 + 342*v + 9747 = 0.
-57
Solve q**2/2 + 5*q + 9/2 = 0.
-9, -1
What is c in c**5/2 - 23*c**4/2 + 41*c**3/2 + 23*c**2/2 - 21*c = 0?
-1, 0, 1, 2, 21
Solve -35*l**3 + 190*l**2 + 475*l - 630 = 0.
-18/7, 1, 7
Suppose 6*i**3/7 + 314*i**2/7 - 1606*i/7 - 570/7 = 0. What is i?
-57, -1/3, 5
Factor t**4/6 - 8*t**3 + 407*t**2/3 - 952*t + 14161/6.
(t - 17)**2*(t - 7)**2/6
Factor -2*g**2/9 + 8*g/9 + 154/9.
-2*(g - 11)*(g + 7)/9
Solve -3*r**4 - 66*r**3 - 423*r**2 - 996*r - 780 = 0.
-13, -5, -2
Suppose -o**2/4 - 77*o/2 - 5929/4 = 0. What is o?
-77
Factor 2*k**5 - 98*k**4 + 540*k**3 - 1052*k**2 + 866*k - 258.
2*(k - 43)*(k - 3)*(k - 1)**3
Factor -2*l**4 + 25*l**3/4 - l**2 - 7*l.
-l*(l - 2)**2*(8*l + 7)/4
Factor -2*v**2 + 3412*v - 1455218.
-2*(v - 853)**2
Factor -12*b**2 + 39*b - 9.
-3*(b - 3)*(4*b - 1)
Factor 3*n**4 + 15*n**3 - 33*n**2 - 99*n - 54.
3*(n - 3)*(n + 1)**2*(n + 6)
Determine h so that -h**2/3 - 128*h/3 = 0.
-128, 0
Factor 3*g**5 - 18*g**4 + 162*g**2 - 243*g.
3*g*(g - 3)**3*(g + 3)
Factor -3*w**2/2 + 12*w + 30.
-3*(w - 10)*(w + 2)/2
Find q, given that -2*q**2/15 - 22*q/15 + 52/15 = 0.
-13, 2
Let 4*t**4 + 300*t**3 + 5772*t**2 + 5476*t = 0. Calculate t.
-37, -1, 0
Factor 2*b**5/15 - 308*b**4/15 + 404*b**3/5 - 1808*b**2/15 + 1202*b/15 - 20.
2*(b - 150)*(b - 1)**4/15
Suppose -2*q**2/5 - 32*q = 0. What is q?
-80, 0
Factor 2*r**3 + 48*r**2 - 104*r.
2*r*(r - 2)*(r + 26)
Solve 4*b**4 + 1888*b**3 + 222784*b**2 = 0.
-236, 0
Factor 15*t**2 + 320*t - 220.
5*(t + 22)*(3*t - 2)
Factor 4*d**4 - 20*d**3 - 24*d**2.
4*d**2*(d - 6)*(d + 1)
Solve 6*u**5/5 + 2*u**4/5 - 74*u**3/5 + 78*u**2/5 + 68*u/5 - 16 = 0.
-4, -1, 1, 5/3, 2
What is s in -3*s**2 - 162*s - 2187 = 0?
-27
Factor 4*d**3 - 128*d**2/9 - 4*d + 128/9.
4*(d - 1)*(d + 1)*(9*d - 32)/9
Solve 4*m**4/7 + 2428*m**3/7 + 369636*m**2/7 + 352692*m/7 - 2203416/7 = 0.
-303, -3, 2
Find y, given that 2*y**4/21 - 46*y**3/21 + 40*y**2/7 + 8*y/21 - 160/21 = 0.
-1, 2, 20
What is i in 5*i**3 + 370*i**2 = 0?
-74, 0
Solve 12*n**4 + 56*n**3 + 92*n**2 + 64*n + 16 = 0 for n.
-2, -1, -2/3
What is u in 27*u**5/7 - 9*u**4 + 48*u**3/7 - 12*u**2/7 = 0?
0, 2/3, 1
Let a**2/8 + 3*a/8 + 1/4 = 0. Calculate a.
-2, -1
Factor -3*i**2/5 - 114*i/5 - 1008/5.
-3*(i + 14)*(i + 24)/5
Solve 4*x**4 - 56*x**3 + 256*x**2 - 456*x + 252 = 0.
1, 3, 7
Factor -2*r**4/7 - 16*r**3/7 - 10*r**2/7 + 4*r.
-2*r*(r - 1)*(r + 2)*(r + 7)/7
What is k in 3*k**4 + 15*k**3 + 15*k**2 - 15*k - 18 = 0?
-3, -2, -1, 1
Suppose 5*j**5 + 5*j**4 - 15*j**3 - 5*j**2 + 10*j = 0. What is j?
-2, -1, 0, 1
Factor 4*x**5 + 688*x**4 + 4032*x**3 + 8000*x**2 + 5312*x.
4*x*(x + 2)**3*(x + 166)
Determine j, given that -4*j**3 - 32*j**2 + 16*j + 128 = 0.
-8, -2, 2
Factor 5*l**5 - 60*l**4 + 40*l**3 + 190*l**2 - 285*l + 110.
5*(l - 11)*(l - 1)**3*(l + 2)
Factor -27*g**3 - 237*g**2 - 486*g + 120.
-3*(g + 4)*(g + 5)*(9*g - 2)
Suppose -o**2/2 + 113*o/2 = 0. Calculate o.
0, 113
Suppose -405*c**4 - 225*c**3 + 160*c**2 - 20*c = 0. What is c?
-1, 0, 2/9
Factor -28*q**3 - 8*q**2 + 28*q + 8.
-4*(q - 1)*(q + 1)*(7*q + 2)
Solve -5*x**4/3 + 865*x**3/3 + 6220*x**2/3 + 4780*x + 3600 = 0 for x.
-3, -2, 180
Factor 3*y**2/5 - 3*y/5.
3*y*(y - 1)/5
Solve -28*v**5/5 + 64*v**4/5 + 12*v**3/5 - 64*v**2/5 + 16*v/5 = 0.
-1, 0, 2/7, 1, 2
Solve z**3 - 16*z**2 - z + 16 = 0.
-1, 1, 16
Let -28*i**4 - 17828*i**3 - 48216*i**2 - 20272*i + 10144 = 0. What is i?
-634, -2, -1, 2/7
Factor -5*z**2 + 795*z + 4100.
-5*(z - 164)*(z + 5)
Solve 12*s**5 - 80*s**4 - 352*s**3 - 456*s**2 - 236*s - 40 = 0.
-1, -1/3, 10
Factor 2*b**2/9 + 50*b/9 - 12.
2*(b - 2)*(b + 27)/9
Find i, given that 2*i**2/9 + 26*i/3 = 0.
-39, 0
Factor -c**4 - 22*c**3 - 160*c**2 - 384*c.
-c*(c + 6)*(c + 8)**2
Determine o so that 2*o**4/5 - 2604*o**3/5 + 844992*o**2/5 + 1700416*o/5 = 0.
-2, 0, 652
Suppose 5*a**2/6 - 11*a/6 + 1 = 0. What is a?
1, 6/5
Let 2*d**4/3 - 8*d**3/3 - 10*d**2/3 = 0. Calculate d.
-1, 0, 5
Find i, given that i**5/5 - 33*i**4/5 - 109*i**3/5 + 33*i**2/5 + 108*i/5 = 0.
-3, -1, 0, 1, 36
Solve -8*k**5/17 - 206*k**4/17 - 1684*k**3/17 - 4270*k**2/17 + 1176*k/17 = 0.
-12, -7, 0, 1/4
Factor 3*r**4/2 + 174*r**3 + 4680*r**2 - 21600*r.
3*r*(r - 4)*(r + 60)**2/2
Suppose 2*w**3/7 + 34*w**2/7 - 40*w/7 - 72/7 = 0. W