z**2.
-4*z**2*(4*z + 1)
Suppose -o**4 + o**3 + 2*o**2 = 0. Calculate o.
-1, 0, 2
Factor u**4 + u**3 - u**2 - u.
u*(u - 1)*(u + 1)**2
Factor -n**3/3 - n**2/3 + 14*n.
-n*(n - 6)*(n + 7)/3
Determine u, given that 169*u**3/4 - 195*u**2/2 + 27*u - 2 = 0.
2/13, 2
Factor -4*j**3/7 + 276*j**2/7 - 800*j/7 + 528/7.
-4*(j - 66)*(j - 2)*(j - 1)/7
Let -12*y**5 + 45*y**4 - 24*y**3 - 9*y**2 = 0. Calculate y.
-1/4, 0, 1, 3
Solve 5*n**3 - 110*n**2 - 240*n = 0.
-2, 0, 24
Factor -2*j**4 - 268*j**3/11 - 1104*j**2/11 - 1600*j/11 - 256/11.
-2*(j + 4)**3*(11*j + 2)/11
Factor -q**3 + 2*q**2 + 29*q - 30.
-(q - 6)*(q - 1)*(q + 5)
Factor 2*y**2 - 16*y + 14.
2*(y - 7)*(y - 1)
Let 3*l**4 - 18*l**3 - 27*l**2 + 42*l = 0. What is l?
-2, 0, 1, 7
Factor -l**2/4 + 36*l - 71.
-(l - 142)*(l - 2)/4
Suppose 3*f**2/8 - 441*f/4 - 885/8 = 0. Calculate f.
-1, 295
Factor -a**2/8 + 13*a - 103/8.
-(a - 103)*(a - 1)/8
Find r such that -4*r**4 + 84*r**3 - 408*r**2 + 752*r - 480 = 0.
2, 15
Suppose -2*a**5/7 + 82*a**4/7 - 1016*a**3/7 + 504*a**2 - 2592*a/7 = 0. What is a?
0, 1, 4, 18
Find h, given that 4*h**3/7 + 132*h**2/7 - 144*h/7 - 272/7 = 0.
-34, -1, 2
Factor y**2/6 - 2*y - 18.
(y - 18)*(y + 6)/6
Factor -4*t**3 - 120*t**2 - 612*t - 864.
-4*(t + 3)**2*(t + 24)
Determine l, given that 2*l**2/5 - 176*l/5 - 266 = 0.
-7, 95
Factor 2*f**2 - 200*f.
2*f*(f - 100)
Factor -2*n**3/3 - 1748*n**2 - 1527752*n - 1335255248/3.
-2*(n + 874)**3/3
What is p in -14*p**2/5 - 436*p/5 + 384/5 = 0?
-32, 6/7
Let -3*v**4 + 30*v**3 - 15*v**2 - 120*v + 108 = 0. What is v?
-2, 1, 2, 9
Let -u**2 + 88*u - 1936 = 0. Calculate u.
44
Determine b so that -b**4/6 - 8*b**3/3 - 59*b**2/6 - 22*b/3 = 0.
-11, -4, -1, 0
Factor -w**3/2 - 20*w**2 - 38*w.
-w*(w + 2)*(w + 38)/2
Factor 3*v**5 - 894*v**4 + 1776*v**3 + 6*v**2 - 1779*v + 888.
3*(v - 296)*(v - 1)**3*(v + 1)
Factor -32*a**3 + 7668*a**2 - 457920*a - 172800.
-4*(a - 120)**2*(8*a + 3)
Suppose 70*j**5 + 115*j**4/3 - 460*j**3 + 185*j**2 + 160*j/3 - 20 = 0. What is j?
-3, -1/3, 2/7, 1/2, 2
Let -h**5/2 - 3*h**4 + 17*h**3 + 24*h**2 - 153*h/2 - 81 = 0. Calculate h.
-9, -2, -1, 3
Factor -x**2/3 + 327*x - 980/3.
-(x - 980)*(x - 1)/3
Factor -3*c**2 - 24*c + 27.
-3*(c - 1)*(c + 9)
Solve 3*p**3/4 + 135*p**2/8 - 8637*p/8 + 1071/2 = 0.
-51, 1/2, 28
Solve -3*q**2/2 + 39*q + 81/2 = 0.
-1, 27
Determine u so that -33*u**2 - 45*u - 12 = 0.
-1, -4/11
Factor -2*f**3/7 - 62*f**2/7 + 204*f/7.
-2*f*(f - 3)*(f + 34)/7
Determine k, given that -4913*k**3 + 8670*k**2 - 5100*k + 1000 = 0.
10/17
What is p in 3*p**4/5 - 12*p**3/5 - 54*p**2/5 - 12*p - 21/5 = 0?
-1, 7
Let -3*l**4/2 - 9*l**3 - 27*l**2/2 = 0. What is l?
-3, 0
What is g in -3*g**4/4 + 21*g**3/4 + 297*g**2/4 + 891*g/4 + 405/2 = 0?
-3, -2, 15
Let 7*b**4/4 + b**3/2 - 21*b**2/4 - 5*b - 1 = 0. Calculate b.
-1, -2/7, 2
Solve 2*w**4/9 + 2*w**3/9 - 6*w**2 + 6*w + 12 = 0.
-6, -1, 3
Factor 64*v**4 + 976*v**3 + 5580*v**2 + 14175*v + 13500.
(v + 4)*(4*v + 15)**3
Find n such that -n**2 + 18*n - 56 = 0.
4, 14
Determine d, given that 12*d**2 - 16*d = 0.
0, 4/3
Factor -5*z**4 - 10*z**3 + 60*z**2 + 90*z - 135.
-5*(z - 3)*(z - 1)*(z + 3)**2
Factor -3*p**5 + 1692*p**4 - 243603*p**3 + 1421250*p**2 - 2815668*p + 1868184.
-3*(p - 279)**2*(p - 2)**3
Factor 5*m**4 + 3240*m**3 + 787320*m**2 + 85030560*m + 3443737680.
5*(m + 162)**4
Factor -2*d**2/13 - 144*d/13 + 146/13.
-2*(d - 1)*(d + 73)/13
Suppose -3*g**2/8 - 165*g/4 + 261 = 0. What is g?
-116, 6
Determine m so that 2*m**3 - 74*m + 168 = 0.
-7, 3, 4
What is c in -5*c**4 - 10*c**3 + 60*c**2 + 40*c - 160 = 0?
-4, -2, 2
Factor -4*z**2 + 400*z + 1664.
-4*(z - 104)*(z + 4)
Factor f**3/2 + 25*f**2/2 + 87*f/2 + 63/2.
(f + 1)*(f + 3)*(f + 21)/2
Let -m**5 - 60*m**4 - 1065*m**3 - 2530*m**2 + 50820*m - 95832 = 0. What is m?
-22, 3
Solve 4*f**5/9 + 16*f**4/9 + 16*f**3/9 - 8*f**2/9 - 20*f/9 - 8/9 = 0.
-2, -1, 1
Factor 2*t**3/5 - 32*t/5.
2*t*(t - 4)*(t + 4)/5
Solve 3*q**4 - 237*q**3 - 5346*q**2 - 23820*q + 29400 = 0.
-10, 1, 98
Let -o**3/3 - 50*o**2/3 + o/3 + 50/3 = 0. What is o?
-50, -1, 1
Suppose -4*o**4 - 32*o**3 - 88*o**2 - 96*o - 36 = 0. Calculate o.
-3, -1
Factor 5*k**5 - 40*k**4 - 585*k**3 + 20*k**2 + 11600*k + 24000.
5*(k - 15)*(k - 5)*(k + 4)**3
Solve -3*s**5/5 - 2562*s**4/5 + 5133*s**3/5 - 2568*s**2/5 = 0.
-856, 0, 1
Factor 3*s**2 - 96*s.
3*s*(s - 32)
Factor 2*p**3 - 268*p**2/3 + 142*p + 172/3.
2*(p - 43)*(p - 2)*(3*p + 1)/3
Let 4*l**5/3 - 32*l**4/3 + 28*l**3 - 24*l**2 = 0. What is l?
0, 2, 3
Factor 2*b**5 + 10*b**4 + 4*b**3 - 16*b**2.
2*b**2*(b - 1)*(b + 2)*(b + 4)
Factor -2*j**2/3 + 20*j - 352/3.
-2*(j - 22)*(j - 8)/3
Suppose z**5 + 25*z**4 - 501*z**3 + 1703*z**2 - 2008*z + 780 = 0. What is z?
-39, 1, 2, 10
Find b, given that 2*b**3 + 2887*b**2/2 - 1807*b + 723/2 = 0.
-723, 1/4, 1
Factor -3*k**3 + 54*k**2 + 252*k + 264.
-3*(k - 22)*(k + 2)**2
Factor 2*k**3 + 380*k**2 + 20114*k + 190104.
2*(k + 12)*(k + 89)**2
Find k, given that 5*k**2 - 9645*k - 9650 = 0.
-1, 1930
Factor 5*y**3 + 81*y**2/5 + 18*y/5.
y*(y + 3)*(25*y + 6)/5
Factor -35*u**5 + 25*u**4 + 10*u**3.
-5*u**3*(u - 1)*(7*u + 2)
Factor -4*a**4 + 64*a**3 - 184*a**2 - 576*a - 324.
-4*(a - 9)**2*(a + 1)**2
Let 11*c**2/4 + 7*c/4 - 1 = 0. Calculate c.
-1, 4/11
Factor -2*k**4/15 - 20*k**3/3 + 34*k**2/5.
-2*k**2*(k - 1)*(k + 51)/15
Factor -242*u**5 + 1364*u**4 - 1658*u**3 - 744*u**2 - 72*u.
-2*u*(u - 3)**2*(11*u + 2)**2
Find y such that -2*y**3/5 + 14*y**2/5 + 12*y/5 - 144/5 = 0.
-3, 4, 6
Solve -s**5/5 - 7*s**4/5 - 6*s**3/5 + 54*s**2/5 + 27*s + 81/5 = 0.
-3, -1, 3
Factor -2*u**4/5 + 26*u**3/5 - 88*u**2/5 + 64*u/5.
-2*u*(u - 8)*(u - 4)*(u - 1)/5
Suppose -5*b**4 + 5*b**3 + 20*b**2 - 20*b = 0. What is b?
-2, 0, 1, 2
Solve -2*t**2 - 1060*t - 140450 = 0.
-265
Let -o**5 - 280*o**4 - 21217*o**3 - 227582*o**2 - 821420*o - 897800 = 0. Calculate o.
-134, -5, -2
Factor m**3/4 - 25*m**2/4 + 6*m.
m*(m - 24)*(m - 1)/4
Determine n so that n**4/2 - 12*n**3 - 135*n**2 - 432*n - 891/2 = 0.
-3, 33
Factor -b**4/2 + 479*b**3/2 + 961*b**2/2 + 481*b/2.
-b*(b - 481)*(b + 1)**2/2
Suppose -3*n**2 - 222*n - 4107 = 0. What is n?
-37
Factor -4*o**5 + 104*o**4 - 604*o**3 + 1448*o**2 - 1552*o + 608.
-4*(o - 19)*(o - 2)**3*(o - 1)
Find j such that 2*j**2/21 - 932*j/21 + 310/7 = 0.
1, 465
Solve -2*g**4/3 - 52*g**3/3 - 88*g**2 - 496*g/3 - 320/3 = 0 for g.
-20, -2
Factor -a**4 + 60*a**3 - 387*a**2 + 860*a - 636.
-(a - 53)*(a - 3)*(a - 2)**2
Factor -p**4/3 + 25*p**3/3 - 226*p**2/3 + 288*p - 384.
-(p - 8)**2*(p - 6)*(p - 3)/3
Let 14*a**5/17 + 4*a**4 + 6*a**3/17 - 288*a**2/17 - 216*a/17 = 0. What is a?
-3, -6/7, 0, 2
What is o in -3*o**5 + 57*o**4 - 48*o**3 - 108*o**2 = 0?
-1, 0, 2, 18
Factor 15*m**2 + 24*m - 12.
3*(m + 2)*(5*m - 2)
Find r, given that -r**2/5 - 2766*r - 9563445 = 0.
-6915
Factor -5*v**2 + 75*v + 80.
-5*(v - 16)*(v + 1)
Factor -52*j**2 + 6752*j + 1040.
-4*(j - 130)*(13*j + 2)
Solve -3*j**2 + 651*j - 648 = 0 for j.
1, 216
Solve w**3 + 58*w**2 + 896*w + 1568 = 0 for w.
-28, -2
Solve 10*i**4/3 - 106*i**3/3 - 70*i**2 + 174*i - 72 = 0.
-3, 3/5, 1, 12
Factor -4*j**3 + 84*j**2 - 396*j - 484.
-4*(j - 11)**2*(j + 1)
Factor -5*x**3/3 - 20*x**2.
-5*x**2*(x + 12)/3
Factor 2*i**2 + 132*i + 378.
2*(i + 3)*(i + 63)
Determine c so that c**2/4 - 123*c/4 - 1349/2 = 0.
-19, 142
Factor 4*x**5 - 9*x**4 + 6*x**3 - x**2.
x**2*(x - 1)**2*(4*x - 1)
Suppose 3*d**4/2 + 19*d**3 - 151*d**2/2 + 71*d - 16 = 0. Calculate d.
-16, 1/3, 1, 2
Determine g, given that 46*g**5/3 - 280*g**4/3 - 298*g**3/3 + 28*g**2/3 = 0.
-1, 0, 2/23, 7
Factor 2*l**3/5 - 28*l**2 + 2304*l/5 + 5184/5.
2*(l - 36)**2*(l + 2)/5
Let -2*s**5/9 - 2*s**4/9 + 10*s**3/9 + 10*s**2/9 - 8*s/9 - 8/9 = 0. What is s?
-2, -1, 1, 2
Factor -44*p**3 + 4*p**2.
-4*p**2*(11*p - 1)
Suppose -4*i**5 + 692*i**4 + 696*i**3 = 0. Calculate i.
-1, 0, 174
Factor -5*n**3 - 4195*n**2.
-5*n**2*(n + 839)
Factor 2*l**4 + 20*l**3.
2*l**3*(l + 10)
Solve 3*z**2/2 = 0 for z.
0
Suppose r**2 - 94*r + 2209 = 0. Calculate r.
47
Factor -4*c**3 + 48*c**2 - 140*c.
-4*c*(c - 7)*(c - 5)
Suppose 4*q**5/3 - 110*q**4/3 + 278*q**3 - 1066*q**2/3 + 338*q/3 = 0. Calculate q.
0, 1/2, 1, 13
Determine a so that -4*a**2 - 600*a - 22500 = 0.
-75
Suppose 4*b**3 - 7500*b**2 + 4687500*b - 976562500 = 0. What is b?
625
Determine i, given that 4*i**2 + 416*i - 420 = 0.
-105, 1
Suppose -4*s**3 + 256*s**2 - 28