-2, -1, 0, 1
Factor -2*b**3/3 - 22*b**2/3 - 16*b + 24.
-2*(b - 1)*(b + 6)**2/3
Factor 8*k**3/7 + 102*k**2 + 2242*k/7 + 516/7.
2*(k + 3)*(k + 86)*(4*k + 1)/7
Solve -l**4/2 - l**3/2 + 3*l**2/2 + l/2 - 1 = 0.
-2, -1, 1
Find s, given that s**3 + 29*s**2 + 195*s - 225 = 0.
-15, 1
Factor 5*k**4 + 55*k**3 - 15*k**2 - 155*k + 110.
5*(k - 1)**2*(k + 2)*(k + 11)
Factor -3*j**2/8 - 285*j/8 + 36.
-3*(j - 1)*(j + 96)/8
Factor -3*t**2/5 + t - 2/5.
-(t - 1)*(3*t - 2)/5
Factor -5*x**2 - 145*x - 270.
-5*(x + 2)*(x + 27)
Let 6*x**5/7 + 27*x**4/7 + 24*x**3/7 - 18*x**2/7 - 30*x/7 - 9/7 = 0. What is x?
-3, -1, -1/2, 1
Determine a so that 5*a**4/2 + 55*a**3 - 135*a**2/2 - 220*a + 230 = 0.
-23, -2, 1, 2
Solve 64*z**4/5 - 32*z**3 + 132*z**2/5 - 8*z + 4/5 = 0.
1/4, 1
What is k in -2*k**2/3 - 48*k - 864 = 0?
-36
Find z such that -300*z**4/7 + 940*z**3/7 - 608*z**2/7 + 16*z = 0.
0, 2/5, 7/3
Determine o so that 2*o**3/13 + 16*o**2/13 + 14*o/13 = 0.
-7, -1, 0
Factor -y**4/6 + 3*y**3/2 - 10*y**2/3 + 2*y.
-y*(y - 6)*(y - 2)*(y - 1)/6
Let -4212*n**5 - 9900*n**4 - 636*n**3 + 4204*n**2 - 864*n - 16 = 0. Calculate n.
-2, -1, -2/117, 1/3
Find i such that -2*i**5 + 18*i**4 - 46*i**3 + 30*i**2 = 0.
0, 1, 3, 5
Solve u**4/4 + 7*u**3/4 - 17*u**2/4 - 63*u/4 + 18 = 0.
-8, -3, 1, 3
Determine r so that 7*r**4 + 11*r**3 + r**2 - 3*r = 0.
-1, 0, 3/7
Factor 3*k**2 - 39*k.
3*k*(k - 13)
Find g such that 5*g**4 - 655*g**3 - 3380*g**2 - 2720*g = 0.
-4, -1, 0, 136
Suppose 9*p**2/8 + 723*p/8 - 243/4 = 0. Calculate p.
-81, 2/3
Determine b so that 2*b**4/7 + 1200*b**3/7 + 167600*b**2/7 - 3720000*b/7 + 19220000/7 = 0.
-310, 10
Solve 3*h**2/2 - 45*h + 483/2 = 0.
7, 23
Factor z**5 + 24*z**4 - 3*z**3 - 70*z**2 + 48*z.
z*(z - 1)**2*(z + 2)*(z + 24)
Find h, given that -3*h**5 - 258*h**4 - 6450*h**3 - 37632*h**2 - 19539*h + 63882 = 0.
-39, -7, -2, 1
Solve n**4/2 + 5*n**3/2 - 7*n**2/2 - 41*n/2 - 15 = 0.
-5, -2, -1, 3
Factor 2*r**2/11 + 46*r/11 - 48/11.
2*(r - 1)*(r + 24)/11
Suppose -2*r**4/17 - 80*r**3/17 + 924*r**2/17 + 2080*r/17 + 1078/17 = 0. Calculate r.
-49, -1, 11
Determine d, given that -3*d**2 - 2127*d - 4242 = 0.
-707, -2
Factor -74*z**2/11 + 70*z/11 + 4/11.
-2*(z - 1)*(37*z + 2)/11
Factor -t**3/2 + 6*t**2 + 123*t/2 + 95.
-(t - 19)*(t + 2)*(t + 5)/2
Determine k so that 3*k**3 - 102*k**2 + 369*k - 270 = 0.
1, 3, 30
Find l, given that -l**3/3 - 32*l**2/3 - 139*l/3 - 36 = 0.
-27, -4, -1
Find m such that m**2/6 - m/2 - 2/3 = 0.
-1, 4
Factor -4*u**3 + 312*u**2 - 5760*u - 12800.
-4*(u - 40)**2*(u + 2)
Factor -3*a**2 - 42*a - 72.
-3*(a + 2)*(a + 12)
Factor -v**3/3 + 347*v**2 - 120409*v + 41781923/3.
-(v - 347)**3/3
Solve 324*d**4 - 828*d**3 + 232*d**2 + 240*d + 32 = 0.
-2/9, 1, 2
Factor p**2/8 - 13*p/4 + 25/8.
(p - 25)*(p - 1)/8
Find p, given that -5*p**5 - 425*p**4 - 8370*p**3 + 28160*p**2 - 19360*p = 0.
-44, 0, 1, 2
Factor 3*c**2 - 24*c + 36.
3*(c - 6)*(c - 2)
Factor -2*o**3 - 285*o**2 - 424*o - 141.
-(o + 1)*(o + 141)*(2*o + 1)
Find x such that 3*x**3 + 2121*x**2 + 2118*x = 0.
-706, -1, 0
Factor -k**5/2 + k**4/2 + 5*k**3/2 + 3*k**2/2.
-k**2*(k - 3)*(k + 1)**2/2
Factor 5*q**4 + 15*q**3 - 65*q**2 - 75*q.
5*q*(q - 3)*(q + 1)*(q + 5)
Factor -4*u**2 - 12*u - 8.
-4*(u + 1)*(u + 2)
Determine d so that -2*d**5/15 - 1438*d**4/15 - 52972*d**3/3 - 2289764*d**2/15 - 758138*d/3 - 352870/3 = 0.
-355, -7, -1
Let 70*a**5 - 202*a**4 - 1712*a**3 - 2128*a**2 - 32*a + 224 = 0. What is a?
-2, -2/5, 2/7, 7
Factor -r**4 - 16*r**3 - 28*r**2.
-r**2*(r + 2)*(r + 14)
Let -w**2/5 + 37*w/5 - 14 = 0. Calculate w.
2, 35
Let -4*s**3 + 426*s**2 + 214*s = 0. What is s?
-1/2, 0, 107
Factor -4*x**4/7 + 4*x**3 - 8*x**2 + 32*x/7.
-4*x*(x - 4)*(x - 2)*(x - 1)/7
Suppose -3*g**5/5 - 8*g**4/5 - 3*g**3/5 + 2*g**2/5 = 0. What is g?
-2, -1, 0, 1/3
Suppose -9*i**4 + 69*i**3 - 141*i**2 + 111*i - 30 = 0. What is i?
2/3, 1, 5
Factor -784*h**4/5 - 7952*h**3/5 - 26884*h**2/5 - 6816*h - 2880.
-4*(h + 4)**2*(14*h + 15)**2/5
Suppose 290*n**3 + 588*n**2 + 306*n + 8 = 0. What is n?
-1, -4/145
Factor -77*u**4/5 + 461*u**3/5 - 918*u**2/5 + 604*u/5 + 8/5.
-(u - 2)**3*(77*u + 1)/5
Suppose 2*o**4/3 + 26*o**3/9 - 352*o**2/9 - 616*o/3 - 64 = 0. Calculate o.
-6, -1/3, 8
Find m such that 3*m**3/5 + 57*m**2/5 + 297*m/5 + 243/5 = 0.
-9, -1
Let i**4 - 5*i**3/4 - 89*i**2/2 - 289*i/4 - 30 = 0. Calculate i.
-5, -1, -3/4, 8
Factor 2*z**2/5 - 2116*z/5 + 559682/5.
2*(z - 529)**2/5
Find h, given that -h**5/2 - h**4/2 + 9*h**3/2 + 13*h**2/2 - 4*h - 6 = 0.
-2, -1, 1, 3
Factor -20*y**2 + 83*y - 12.
-(y - 4)*(20*y - 3)
Suppose -6*y**4 - 34*y**3 + 102*y**2 - 78*y + 16 = 0. Calculate y.
-8, 1/3, 1
Factor -i**4 - i**3 + 31*i**2 + 61*i + 30.
-(i - 6)*(i + 1)**2*(i + 5)
What is c in 2*c**3 - 32*c = 0?
-4, 0, 4
Suppose -3*u**4 + 18*u**3 - 33*u**2 + 18*u = 0. What is u?
0, 1, 2, 3
Find x, given that x**3 + 17*x**2 - 38*x = 0.
-19, 0, 2
Suppose 6*c**5/5 - 106*c**4/5 + 496*c**3/5 + 96*c**2/5 - 512*c - 2048/5 = 0. What is c?
-4/3, -1, 4, 8
Find g, given that 27*g**3/2 + 1503*g**2/2 - 1020*g + 342 = 0.
-57, 2/3
Factor -b**2/3 + 9*b.
-b*(b - 27)/3
Factor 2*o**2 - 406*o.
2*o*(o - 203)
Solve 6*i**4 + 51*i**3 + 93*i**2 + 12*i - 36 = 0 for i.
-6, -2, -1, 1/2
Let 6*t**2/7 - 404*t/7 - 272/7 = 0. What is t?
-2/3, 68
Solve -z**4 - 23*z**3 + 7*z**2 + 167*z + 138 = 0 for z.
-23, -2, -1, 3
Factor -4*n**5 - 3304*n**4 - 685572*n**3 - 1361248*n**2 - 678976*n.
-4*n*(n + 1)**2*(n + 412)**2
Factor -w**4/3 - 26*w**3/3 - 49*w**2/3 - 8*w.
-w*(w + 1)**2*(w + 24)/3
Suppose 2*h**4/7 + 8640*h**3/7 + 13996800*h**2/7 + 10077696000*h/7 + 2720977920000/7 = 0. What is h?
-1080
Factor 4*h**4/3 - 28*h**3/3 + 11*h**2 + 56*h/3 + 16/3.
(h - 4)**2*(2*h + 1)**2/3
Factor 3*p**3/8 - 15*p**2/8 + 3*p/4 + 3.
3*(p - 4)*(p - 2)*(p + 1)/8
Factor 3*t**4 + 18*t**3 - 81*t**2 + 12*t + 108.
3*(t - 2)**2*(t + 1)*(t + 9)
Factor -5*y**4 + 30*y**3 - 25*y**2 - 60*y.
-5*y*(y - 4)*(y - 3)*(y + 1)
Factor 5*d**4/3 + 10*d**3/3 - 445*d**2/3 - 150*d.
5*d*(d - 9)*(d + 1)*(d + 10)/3
Determine j so that 2*j**5/3 + 134*j**4/3 = 0.
-67, 0
Determine q, given that -3*q**3 - 252*q**2 - 495*q - 246 = 0.
-82, -1
Determine p, given that -2*p**2/13 + 158*p/13 - 1136/13 = 0.
8, 71
Factor -2*m**2 + 130*m.
-2*m*(m - 65)
Solve 4*l**2 - 44*l - 1560 = 0 for l.
-15, 26
Factor 5*k**4 + 10*k**3 - 195*k**2 - 200*k + 2000.
5*(k - 4)**2*(k + 5)**2
What is z in 2*z**2/5 - 2*z/5 + 1/10 = 0?
1/2
Let -31*j**3/3 + 21*j**2 - 11*j + 1/3 = 0. Calculate j.
1/31, 1
Factor -3*h**2/4 - 69*h/2 + 72.
-3*(h - 2)*(h + 48)/4
Factor -i**3/6 - 79*i**2/3 + 53*i/2.
-i*(i - 1)*(i + 159)/6
Find m such that m**4/2 - 159*m**3/2 + 6399*m**2/2 - 6241*m/2 = 0.
0, 1, 79
Factor h**4/10 - 39*h**3/10 + 307*h**2/10 - 501*h/10 + 116/5.
(h - 29)*(h - 8)*(h - 1)**2/10
Factor -n**4/2 + 315*n**3 - 66150*n**2 + 4630500*n.
-n*(n - 210)**3/2
Factor p**3 - 3*p**2 - 49*p - 45.
(p - 9)*(p + 1)*(p + 5)
Factor m**3 + 26*m**2 - 1915*m + 1888.
(m - 32)*(m - 1)*(m + 59)
Determine o, given that -4107*o**2/5 + 444*o/5 - 12/5 = 0.
2/37
Factor -i**3/4 - 5*i**2/4 + 11*i/2 - 4.
-(i - 2)*(i - 1)*(i + 8)/4
Determine v so that 3*v**2 - 3*v - 36 = 0.
-3, 4
Factor 2*s**3/7 - 12*s**2/7 - 270*s/7 + 1944/7.
2*(s - 9)**2*(s + 12)/7
Solve 1152*c**5 + 19296*c**4 - 4944*c**3 - 2392*c**2/3 + 316*c - 68/3 = 0 for c.
-17, -1/4, 1/6
Factor 45*a**5 - 215*a**4 + 355*a**3 - 225*a**2 + 20*a + 20.
5*(a - 2)*(a - 1)**3*(9*a + 2)
Determine t, given that 10*t**4/7 + 1136*t**3/7 - 1606*t**2/7 + 460*t/7 = 0.
-115, 0, 2/5, 1
Find f such that -2*f**4/7 + 64*f**2/7 - 512/7 = 0.
-4, 4
Factor 4*s**3 + 4296*s**2 + 1144836*s - 4648336.
4*(s - 4)*(s + 539)**2
Factor -4*o**4 + 572*o**3 - 4932*o**2 + 14580*o - 14472.
-4*(o - 134)*(o - 3)**3
Factor 3*u**3/4 + 3*u**2/2 - 3*u/4 - 3/2.
3*(u - 1)*(u + 1)*(u + 2)/4
Factor -4*f**2 + 12*f - 8.
-4*(f - 2)*(f - 1)
Suppose 4*i**5 - 28*i**4 + 56*i**3 - 8*i**2 - 60*i + 36 = 0. What is i?
-1, 1, 3
Factor 5*r**2 - 40*r + 35.
5*(r - 7)*(r - 1)
Suppose -4*d**2 - 40*d + 44 = 0. Calculate d.
-11, 1
Factor 2*a**3 - 50*a**2 + 286*a + 338.
2*(a - 13)**2*(a + 1)
Factor -5*n**4 - 20*n**3 + 25*n**2.
-5*n**2*(n - 1)*(n + 5)
Factor -2*x**2 + 172*x.
-2*x*(x - 86)
Find d, given that -4*d**2/5 + 6*d/5 + 18/5 = 0.
-3/2, 3
What is k in k**4 + 5*k**3 - 8*k**2 - 12*k = 0?
-6, -1, 0, 2
Factor 5*w**3 - 15*w**2 - 230*w - 360.
5*(w - 9)*(w + 2)*