2*(l + 2926)**2/7
Factor z**4 + 222*z**3 - 3*z**2 - 668*z - 444.
(z - 2)*(z + 1)**2*(z + 222)
Solve -8*f**4 - 84*f**3 - 148*f**2 + 384*f - 144 = 0 for f.
-6, 1/2, 1
Determine j so that -2*j**3/5 - 46*j**2/5 + 20*j = 0.
-25, 0, 2
Factor -w**3/6 - w**2/2 + w/6 + 1/2.
-(w - 1)*(w + 1)*(w + 3)/6
Factor -p**3 + 19*p**2 + 22*p - 40.
-(p - 20)*(p - 1)*(p + 2)
Suppose -2*c**4/3 - 16*c**3/3 - 34*c**2/3 - 20*c/3 = 0. What is c?
-5, -2, -1, 0
Factor 2*z**3/3 - 576*z**2 + 165888*z - 15925248.
2*(z - 288)**3/3
Solve -3*k**2 + 3*k + 36 = 0.
-3, 4
Determine o so that 3*o**2 - 54*o - 345 = 0.
-5, 23
Let -2*q**4/9 + 32*q**3/9 - 184*q**2/9 + 448*q/9 - 128/3 = 0. What is q?
2, 4, 6
Suppose -6*f**4/5 + 1376*f**3/5 - 15686*f**2 - 10580*f = 0. Calculate f.
-2/3, 0, 115
Find n such that -4*n**4/5 + 104*n**3/5 + 992*n**2/5 - 456*n + 1188/5 = 0.
-9, 1, 33
Find k, given that k**4/9 - 11*k**3/9 + 8*k**2/3 + 4*k = 0.
-1, 0, 6
Suppose -2*z**3/7 - 24*z**2/7 = 0. What is z?
-12, 0
Solve -t**3/2 + 108*t**2 - 11877*t/2 + 11449 = 0 for t.
2, 107
Factor -k**2/4 + 11*k/4 + 3.
-(k - 12)*(k + 1)/4
Let -2*v**5/3 - 4*v**4/3 + 20*v**3/3 + 16*v**2/3 - 22*v + 12 = 0. Calculate v.
-3, 1, 2
What is b in 2*b**4/15 - 154*b**3/15 + 3284*b**2/15 - 3648*b/5 - 12096/5 = 0?
-2, 7, 36
Factor -5*r**3 + 130*r**2 - 700*r - 1960.
-5*(r - 14)**2*(r + 2)
Factor u**2 - 17*u + 42.
(u - 14)*(u - 3)
Determine l, given that -2*l**2/15 - 998*l/15 + 200/3 = 0.
-500, 1
Find o such that 2*o**2 + 18196*o + 41386802 = 0.
-4549
Factor 2926125*h**2 - 15300*h + 20.
5*(765*h - 2)**2
Factor b**4 + 58*b**3 + 781*b**2 - 1740*b + 900.
(b - 1)**2*(b + 30)**2
Solve 390*o**3 + 1107*o**2 + 897*o + 180 = 0 for o.
-20/13, -1, -3/10
Factor 2*h**4/9 + 866*h**3/9 + 13920*h**2 + 677376*h + 663552.
2*(h + 1)*(h + 144)**3/9
Factor -4*i**5 + 60*i**4 - 104*i**3.
-4*i**3*(i - 13)*(i - 2)
Let -6*l**3/5 + 112*l**2/5 + 158*l/5 + 8 = 0. Calculate l.
-1, -1/3, 20
Find d such that -2*d**3/3 + 262*d**2/3 - 506*d + 750 = 0.
3, 125
Factor -2*v**2/7 - 76*v - 1056/7.
-2*(v + 2)*(v + 264)/7
Determine w, given that 3*w**4/8 - 33*w**3/8 + 15*w**2/4 = 0.
0, 1, 10
Let -2*u**3/11 - 430*u**2/11 - 24150*u/11 - 110250/11 = 0. Calculate u.
-105, -5
Suppose -s**3 + 44*s**2 - 484*s = 0. Calculate s.
0, 22
Factor 8*r**4 - 17*r**3 - 22*r**2 + 3*r.
r*(r - 3)*(r + 1)*(8*r - 1)
Let -75*y**4 + 160*y**3 + 505*y**2 + 230*y - 40 = 0. Calculate y.
-1, 2/15, 4
Factor p**3/2 + 21*p**2/2 + 71*p/2 + 51/2.
(p + 1)*(p + 3)*(p + 17)/2
Factor 3*a**2/2 - 17874*a + 53246646.
3*(a - 5958)**2/2
Let 2*o**4/5 + 6*o**3/5 - 8*o**2/5 = 0. Calculate o.
-4, 0, 1
Solve 8*v**2 - 5*v - 57 = 0.
-19/8, 3
Find l, given that -1156*l**3/3 - 186388*l**2/3 - 43808*l/3 - 2576/3 = 0.
-161, -2/17
Determine o, given that -5*o**4 - 70*o**3 - 175*o**2 - 110*o = 0.
-11, -2, -1, 0
Solve 189*c**4 - 1035*c**3/2 + 453*c**2 - 219*c/2 - 15 = 0.
-2/21, 5/6, 1
Factor m**5 - 18*m**4 + 113*m**3 - 304*m**2 + 336*m - 128.
(m - 8)*(m - 4)**2*(m - 1)**2
Suppose 2*d**4 - 12*d**3 + 16*d**2 + 12*d - 18 = 0. What is d?
-1, 1, 3
Solve -2*b**3 - 16*b**2 + 2*b + 16 = 0.
-8, -1, 1
Factor -3*y**2 - 15*y + 18.
-3*(y - 1)*(y + 6)
Suppose r**4/7 - 3*r**3/7 - 4*r**2/7 + 12*r/7 = 0. What is r?
-2, 0, 2, 3
Factor -3*s**5 + 18*s**4 - 36*s**3 + 30*s**2 - 9*s.
-3*s*(s - 3)*(s - 1)**3
Let 5*x**5/2 - 95*x**3/2 - 75*x**2 = 0. What is x?
-3, -2, 0, 5
What is o in 36*o**5 + 24*o**4 - 152*o**3 + 32*o**2 + 116*o - 56 = 0?
-7/3, -1, 2/3, 1
Factor 49*r**4/9 + 63*r**3 + 398*r**2/3 + 548*r/9 + 8.
(r + 2)*(r + 9)*(7*r + 2)**2/9
Factor 4*n**3 - 4*n**2 - 48*n.
4*n*(n - 4)*(n + 3)
Factor 32*q**3 + 400*q**2 - 206*q + 26.
2*(q + 13)*(4*q - 1)**2
Determine l so that 210*l**4 - 549*l**3 + 183*l**2 + 144*l + 12 = 0.
-2/7, -1/10, 1, 2
Factor v**4 + 2*v**3 - 4*v**2 - 8*v.
v*(v - 2)*(v + 2)**2
Suppose -8*b**4/7 - 584*b**3/7 + 2438*b**2/7 - 1996*b/7 + 66 = 0. What is b?
-77, 1/2, 3
Determine y so that 2*y**4 - 106*y**3 + 924*y**2 = 0.
0, 11, 42
Factor 2*c**2/3 + 9812*c/3 + 12034418/3.
2*(c + 2453)**2/3
What is s in 2*s**2/5 - 1308*s/5 - 262 = 0?
-1, 655
Suppose 28*i**2/5 + 1128*i/5 + 64 = 0. Calculate i.
-40, -2/7
Factor -a**4/6 + 11*a**3/6 + 29*a**2/6 - 13*a/2.
-a*(a - 13)*(a - 1)*(a + 3)/6
Suppose p**5/5 - 12*p**4/5 + 2*p**3 + 12*p**2/5 - 11*p/5 = 0. What is p?
-1, 0, 1, 11
Factor -45*o**4 + 655*o**3 - 3075*o**2 + 4125*o + 2500.
-5*(o - 5)**3*(9*o + 4)
Solve -12*k**5/7 - 104*k**4/7 + 288*k**3/7 - 216*k**2/7 + 44*k/7 = 0.
-11, 0, 1/3, 1
Solve -2*z**5/15 - 4*z**4/15 + 2*z**3/3 + 4*z**2/5 = 0.
-3, -1, 0, 2
Find a, given that -10*a**5 + 55*a**4/2 + 35*a**3/2 - 55*a**2/2 - 15*a/2 = 0.
-1, -1/4, 0, 1, 3
Find n such that 2*n**5/7 - 2*n**4 - 36*n**3/7 + 152*n**2/7 + 16*n - 384/7 = 0.
-3, -2, 2, 8
Factor o**2/10 - 3*o/5 + 9/10.
(o - 3)**2/10
Let q**2/4 - 303*q/2 - 1827/4 = 0. Calculate q.
-3, 609
Factor -3*v**5/7 - 66*v**4/7 - 123*v**3/7 - 60*v**2/7.
-3*v**2*(v + 1)**2*(v + 20)/7
Find f, given that 2*f**5/5 - 166*f**4/5 + 2912*f**3/5 + 97216*f**2/5 - 3863552*f/5 + 35650048/5 = 0.
-29, 28
Factor 2*s**2/23 + 836*s/23 + 87362/23.
2*(s + 209)**2/23
Factor h**2/5 - 57*h/5 + 722/5.
(h - 38)*(h - 19)/5
Factor 5*c**3 - 15*c**2 - 20*c + 60.
5*(c - 3)*(c - 2)*(c + 2)
Determine q so that -7*q**4 - 8*q**3 = 0.
-8/7, 0
Determine u so that -8*u**4 - 22*u**3 + 44*u**2 + 10*u - 24 = 0.
-4, -3/4, 1
Factor -3*s**5 - 7950*s**4 - 5258919*s**3 + 10541700*s**2 - 5274828*s.
-3*s*(s - 1)**2*(s + 1326)**2
Suppose -2*v**5/9 + 2*v**4/9 + 4*v**3/9 = 0. Calculate v.
-1, 0, 2
Determine i, given that 100*i**4 + 1680*i**3 + 8536*i**2 + 12432*i + 5476 = 0.
-37/5, -1
Factor -o**2/5 - 166*o/5 + 315.
-(o - 9)*(o + 175)/5
Factor 4*o**4 + 352*o**3 + 10968*o**2 + 141856*o + 649636.
4*(o + 13)**2*(o + 31)**2
Factor -t**4/4 - 21*t**3/4 + 45*t**2/4 - 23*t/4.
-t*(t - 1)**2*(t + 23)/4
Determine q so that -4*q**3 - 6180*q**2 - 3182700*q - 546363500 = 0.
-515
Solve -r**2/6 - 29*r/2 = 0 for r.
-87, 0
Suppose 9*s**3 + 186*s**2 = 0. What is s?
-62/3, 0
Factor -b**3/3 + 38*b**2/3 + 85*b + 132.
-(b - 44)*(b + 3)**2/3
Determine y, given that -y**2/3 + 266*y/3 - 17689/3 = 0.
133
Factor 4*t**3/5 + 88*t**2/5 + 112*t + 160.
4*(t + 2)*(t + 10)**2/5
Let 5*v**4/4 + 15*v**3/4 - 5*v**2/4 - 15*v/4 = 0. Calculate v.
-3, -1, 0, 1
Solve -j**4/9 - 13*j**3/3 - 67*j**2/9 + 85*j/3 - 148/9 = 0 for j.
-37, -4, 1
Factor -2*g**4/3 - 4*g**3/3 + 10*g**2/3 + 4*g.
-2*g*(g - 2)*(g + 1)*(g + 3)/3
Find g, given that -4*g**3 + 18*g**2 - 20*g + 6 = 0.
1/2, 1, 3
Factor -d**2/10 - 27*d/5 - 729/10.
-(d + 27)**2/10
Factor -2*y**3 + 52*y**2 - 50*y.
-2*y*(y - 25)*(y - 1)
What is h in 4*h**2 - 124*h - 128 = 0?
-1, 32
Factor 3*s**5 + 57*s**4 + 378*s**3 + 972*s**2 + 648*s.
3*s*(s + 1)*(s + 6)**3
Find p, given that 6*p**2/11 + 18*p/11 + 12/11 = 0.
-2, -1
Factor h**4/4 + 3*h**3/2 + 11*h**2/4 + 3*h/2.
h*(h + 1)*(h + 2)*(h + 3)/4
Suppose -2*h**4/19 + 8*h**3/19 + 22*h**2/19 + 12*h/19 = 0. What is h?
-1, 0, 6
Factor d**4 - 25*d**3 - 31*d**2 + 133*d - 78.
(d - 26)*(d - 1)**2*(d + 3)
Factor -21*r**3/5 - 12*r**2/5 + 21*r/5 + 12/5.
-3*(r - 1)*(r + 1)*(7*r + 4)/5
Factor 21*x**2/4 + 19*x/4 - 10.
(x - 1)*(21*x + 40)/4
Let 2*t**3/5 + 12*t**2/5 - 14*t/5 = 0. What is t?
-7, 0, 1
Factor 4*z**2 - 62*z + 30.
2*(z - 15)*(2*z - 1)
Factor -34*v**3/7 - 128*v**2/7 - 104*v/7 + 32/7.
-2*(v + 2)**2*(17*v - 4)/7
What is v in v**4/2 + 863*v**3/5 + 29997*v**2/2 + 88924*v/5 + 14792/5 = 0?
-172, -1, -1/5
Factor 16*d**3/7 + 116*d**2/7 - 100*d/7 - 32/7.
4*(d - 1)*(d + 8)*(4*d + 1)/7
Determine u, given that -8*u**2/7 - 606*u/7 + 152/7 = 0.
-76, 1/4
Factor -4*j**5 - 44*j**4 - 184*j**3 - 368*j**2 - 352*j - 128.
-4*(j + 1)*(j + 2)**3*(j + 4)
Find h such that -h**4/5 + 31*h**3/5 + 301*h**2/5 + 449*h/5 - 156 = 0.
-5, -4, 1, 39
Factor 4*j**3 - 4*j**2 - 4*j + 4.
4*(j - 1)**2*(j + 1)
Factor 3*a**4 - 78*a**3 + 648*a**2 - 1458*a - 2187.
3*(a - 9)**3*(a + 1)
What is o in -4*o**2/5 - 904*o/5 + 1824/5 = 0?
-228, 2
Let 5*r**3 - 960*r**2 + 945*r + 1910 = 0. Calculate r.
-1, 2, 191
Find z such that -5*z**2 - 280*z = 0.
-56, 0
Factor -4*l**4 + 4*l**3 + 12*l**2 - 4*l - 8.
-4*(l - 2)*(l - 1)*(l + 1)**2
Solve -2*a**4 - 44*a**3 + 216*a**2 + 6188*a - 6358 = 0.
-17, 1, 11
Factor i**4/4 + 106*i**3 + 3759*i**2/4 + 2494*i + 1660.
(i + 1)*(i + 4)**2*(i + 415)/4
Factor 2*q**2 + 20*q - 78.
2*(q - 3)*(q + 13)
Le