t 2*j**3 - 34*j**2 + 54*j + 90 = 0.
-1, 3, 15
Determine a so that 2*a**3/3 - 18*a**2 + 130*a - 338/3 = 0.
1, 13
Find j, given that -2*j**4 - 52*j**3 - 480*j**2 - 1792*j - 2048 = 0.
-8, -2
Let -4*j**4/3 - 64*j**3 - 1152*j**2 - 9216*j - 27648 = 0. What is j?
-12
Find v such that 2*v**4/5 - 3*v**3 + 16*v**2/5 + 3*v - 18/5 = 0.
-1, 1, 3/2, 6
Factor 2*h**2/3 - 64*h + 1536.
2*(h - 48)**2/3
Solve -2*o**2/7 + 438*o/7 + 440/7 = 0 for o.
-1, 220
Solve 29282*a**4 + 57596*a**3 + 27354*a**2 - 952*a + 8 = 0.
-1, 2/121
What is l in -2*l**5/3 - 80*l**4/3 + 56*l**3 - 4*l**2/3 - 166*l/3 + 28 = 0?
-42, -1, 1
Factor -b**5 + 3*b**4 + 5*b**3 - 3*b**2 - 4*b.
-b*(b - 4)*(b - 1)*(b + 1)**2
Factor 5*i**2 - 20*i.
5*i*(i - 4)
Factor -3*r**2/4 - 21*r - 120.
-3*(r + 8)*(r + 20)/4
Factor -2*x**4 + 20*x**3 - 66*x**2 + 80*x - 32.
-2*(x - 4)**2*(x - 1)**2
Find l, given that -l**5/4 + 15*l**4/2 - 153*l**3/4 + 55*l**2 - 24*l = 0.
0, 1, 4, 24
Factor -27*p**3 + 441*p**2 - 1776*p + 2112.
-3*(p - 11)*(3*p - 8)**2
Determine x, given that -x**4/2 + 3*x**3/2 + x**2/2 - 3*x/2 = 0.
-1, 0, 1, 3
Factor 44*t**5 - 68*t**4 + 24*t**3.
4*t**3*(t - 1)*(11*t - 6)
Factor 3*d**3 - 33*d**2 - 5208*d + 105840.
3*(d - 28)**2*(d + 45)
Factor 5*s**2 - 17060*s + 17055.
5*(s - 3411)*(s - 1)
Suppose -27*v**5 - 207*v**4 - 426*v**3 - 354*v**2 - 123*v - 15 = 0. What is v?
-5, -1, -1/3
Factor 2*h**2 + 200*h + 5000.
2*(h + 50)**2
Factor 57*r**2 + 9*r/4.
3*r*(76*r + 3)/4
Find k, given that 2*k**5 + 41*k**4 - 77*k**3 - 236*k**2 + 132*k = 0.
-22, -2, 0, 1/2, 3
Factor 2*s**3/19 + 8*s**2/19 + 6*s/19.
2*s*(s + 1)*(s + 3)/19
Suppose -35*j**3 + 1005*j**2 - 1600*j - 540 = 0. Calculate j.
-2/7, 2, 27
Factor 3*n**5 + 17*n**4 + 37*n**3 + 39*n**2 + 20*n + 4.
(n + 1)**3*(n + 2)*(3*n + 2)
Find t such that t**2/3 - 5*t/3 + 4/3 = 0.
1, 4
Factor -r**2/3 + 11*r + 36.
-(r - 36)*(r + 3)/3
Suppose 18*j**5 + 57*j**4 - 27*j**3 - 222*j**2 - 180*j - 24 = 0. Calculate j.
-2, -1, -1/6, 2
Factor 4*c**2 + 1784*c + 1780.
4*(c + 1)*(c + 445)
Determine l, given that 4*l**2 - 264*l + 4356 = 0.
33
Factor z**3/4 - 6*z**2 - 43*z - 60.
(z - 30)*(z + 2)*(z + 4)/4
Suppose -48*m**2 + 72*m - 27 = 0. What is m?
3/4
Suppose 24*h**5 - 1010*h**4 - 5358*h**3 - 8732*h**2 - 4872*h - 752 = 0. What is h?
-2, -2/3, -1/4, 47
Factor -2*d**3 - 58*d**2 - 448*d - 392.
-2*(d + 1)*(d + 14)**2
Let -3*i**4 - 6*i**3 + 9*i**2 = 0. What is i?
-3, 0, 1
Factor -5*p**3 - 395*p**2 + 1230*p.
-5*p*(p - 3)*(p + 82)
Factor -4*x**4 + 76*x**3 - 456*x**2 + 896*x - 512.
-4*(x - 8)**2*(x - 2)*(x - 1)
Suppose -5*n**3 - 385*n**2 + 400*n + 780 = 0. What is n?
-78, -1, 2
Determine r, given that -31*r**3/6 + 205*r**2/3 - 463*r/6 + 14 = 0.
7/31, 1, 12
What is o in 4*o**2 + 4*o - 120 = 0?
-6, 5
Factor 5*w**4 + 70*w**3 + 165*w**2 - 20*w - 220.
5*(w - 1)*(w + 2)**2*(w + 11)
Let -o**5/4 - 35*o**4/4 + 77*o**3/4 + 111*o**2/4 = 0. What is o?
-37, -1, 0, 3
Factor 5*u**4 + 10*u**3 - 135*u**2 + 260*u - 140.
5*(u - 2)**2*(u - 1)*(u + 7)
Solve -5*b**4 + 5*b**3 + 15*b**2 - 25*b + 10 = 0.
-2, 1
Determine g, given that 1681*g**5/6 + 114349*g**4/3 + 2594699*g**3/2 + 189652*g**2/3 + 2312*g/3 = 0.
-68, -1/41, 0
Let 3*f**5/8 - 3*f**4/8 - 9*f**3/8 + 15*f**2/8 - 3*f/4 = 0. Calculate f.
-2, 0, 1
Find r, given that -49*r**3/4 - 329*r**2/4 - 351*r/4 + 729/4 = 0.
-27/7, 1
Let 3*r**5/2 - 9*r**4 + 21*r**3/2 + 9*r**2 - 12*r = 0. What is r?
-1, 0, 1, 2, 4
Factor 3*j**4 + 15*j**3 + 9*j**2 - 15*j - 12.
3*(j - 1)*(j + 1)**2*(j + 4)
Solve -3*r**2 - 7500*r - 4687500 = 0.
-1250
Factor 2*y**2/5 + 2504*y/5 + 783752/5.
2*(y + 626)**2/5
Suppose z**2 - z - 12 = 0. Calculate z.
-3, 4
What is f in f**2/3 + 14*f/3 + 16 = 0?
-8, -6
Let k**5/3 + 2*k**4/3 - 10*k**3/3 - 8*k**2/3 + 11*k - 6 = 0. Calculate k.
-3, 1, 2
Let 2*n**4/7 - 32*n**3/7 + 152*n**2/7 - 192*n/7 = 0. Calculate n.
0, 2, 6, 8
Suppose -12*p**3 - 196*p**2 - 244*p - 60 = 0. Calculate p.
-15, -1, -1/3
Suppose -12*r**2 - 1604*r + 536 = 0. What is r?
-134, 1/3
Factor 29*z**3/4 + 189*z**2 + 13*z.
z*(z + 26)*(29*z + 2)/4
Factor -2*s**2/9 + 4*s - 64/9.
-2*(s - 16)*(s - 2)/9
Factor -4*g**2 - 692*g + 4296.
-4*(g - 6)*(g + 179)
Factor q**2 - 157*q/2 + 39.
(q - 78)*(2*q - 1)/2
Factor -3*q**2 + 4806*q - 1924803.
-3*(q - 801)**2
Determine r so that -4*r**4/5 - 52*r**3/5 - 128*r**2/5 - 16*r = 0.
-10, -2, -1, 0
Factor -2*t**3/7 - 2110*t**2/7.
-2*t**2*(t + 1055)/7
Find p, given that 2*p**3 + 2*p**2 - 34*p + 30 = 0.
-5, 1, 3
Factor x**3 + 21*x**2 - 97*x + 75.
(x - 3)*(x - 1)*(x + 25)
Factor k**3 + 34*k**2 - 989*k + 954.
(k - 18)*(k - 1)*(k + 53)
Factor -d**2/5 + 48*d/5 + 49/5.
-(d - 49)*(d + 1)/5
Factor -s**3 + 7*s + 6.
-(s - 3)*(s + 1)*(s + 2)
Suppose -2*r**5 - 68*r**4/3 + 100*r**3 - 144*r**2 + 266*r/3 - 20 = 0. Calculate r.
-15, 2/3, 1
Factor -8*t**3 + 270*t**2 - 154*t - 1452.
-2*(t - 33)*(t + 2)*(4*t - 11)
Solve 10*b**5 + 519*b**4/4 + 2387*b**3/4 + 1105*b**2 + 612*b - 16 = 0.
-4, -1, 1/40
Determine r, given that -r**3/6 - 3*r**2/2 + 2*r + 10/3 = 0.
-10, -1, 2
Determine r so that -2*r**3/9 - 2*r**2 + 20*r/9 = 0.
-10, 0, 1
Factor -4*m**2/5 - 704*m/5 - 4732/5.
-4*(m + 7)*(m + 169)/5
Factor 3*p**2/5 - 39*p + 192/5.
3*(p - 64)*(p - 1)/5
Factor -2*f**5/11 - 6*f**4/11 - 4*f**3/11 + 4*f**2/11 + 6*f/11 + 2/11.
-2*(f - 1)*(f + 1)**4/11
Factor 3*r**2/2 - 30*r + 57/2.
3*(r - 19)*(r - 1)/2
Determine j, given that -j**2/4 - 135*j/4 + 34 = 0.
-136, 1
Let 2*v**4/3 + 2*v**3 - 2*v**2 - 14*v/3 + 4 = 0. Calculate v.
-3, -2, 1
Let -2*l**2/3 - 298*l/3 + 728 = 0. Calculate l.
-156, 7
Let 2*v**5 + 60*v**4 + 626*v**3 + 2640*v**2 + 3872*v = 0. Calculate v.
-11, -4, 0
Find b, given that 12*b**5 - 189*b**4 + 1032*b**3 - 2616*b**2 + 3168*b - 1488 = 0.
2, 31/4
Factor s**2/6 - 8*s/3 + 55/6.
(s - 11)*(s - 5)/6
Let 8*z**4 + 46*z**3 - 212*z**2 + 194*z - 36 = 0. Calculate z.
-9, 1/4, 1, 2
Determine u, given that -2*u**3/15 - 12*u**2/5 - 22*u/5 - 32/15 = 0.
-16, -1
Factor 9*d**3 + 312*d**2 - 771*d + 222.
3*(d - 2)*(d + 37)*(3*d - 1)
Factor -5*m**3 - 55*m**2 + 5*m + 55.
-5*(m - 1)*(m + 1)*(m + 11)
Determine h, given that -8*h**5 - 46*h**4 - 28*h**3 + 106*h**2 - 24*h = 0.
-4, -3, 0, 1/4, 1
Let -16*z**5/3 + 206*z**4/3 - 166*z**3/3 - 8*z**2 = 0. What is z?
-1/8, 0, 1, 12
What is o in 4*o**3/5 + 76*o**2/5 = 0?
-19, 0
Solve -2*d**5 + 74*d**4 - 768*d**3 + 1816*d**2 - 1120*d = 0.
0, 1, 2, 14, 20
Suppose -4*h**3 - 20*h**2 + 56*h = 0. Calculate h.
-7, 0, 2
Let 35*i**5 - 130*i**4 + 100*i**3 + 40*i**2 = 0. Calculate i.
-2/7, 0, 2
Factor 2*g**3/11 + 320*g**2/11 - 1304*g/11 + 1312/11.
2*(g - 2)**2*(g + 164)/11
Let v**3/6 - v**2/6 - 3*v/2 + 3/2 = 0. Calculate v.
-3, 1, 3
Suppose k**5/3 - 241*k**4/3 + 12862*k**3/3 + 200738*k**2/3 + 576961*k/3 - 790321/3 = 0. What is k?
-7, 1, 127
Find d such that -d**5/2 + 799*d**4/2 - 2781*d**3 + 7138*d**2 - 7924*d + 3168 = 0.
1, 2, 792
Determine y, given that 3*y**5/4 + 5*y**4 - 9*y**3/4 - 61*y**2/2 + 9*y + 18 = 0.
-6, -3, -2/3, 1, 2
Solve g**4 - 21*g**3 + 83*g**2 - 39*g - 144 = 0 for g.
-1, 3, 16
Solve -2*i**3/7 + 36*i**2/7 - 34*i/7 = 0 for i.
0, 1, 17
Factor 9*h**3 - 111*h**2/2 + 105*h - 117/2.
3*(h - 3)*(h - 1)*(6*h - 13)/2
What is c in c**3/2 - 8*c**2 + 32*c = 0?
0, 8
Let -m**2 - 112*m - 3136 = 0. What is m?
-56
What is m in -m**5 + 6*m**4 - 9*m**3 - 4*m**2 + 12*m = 0?
-1, 0, 2, 3
Find m, given that 4*m**4 - 12036*m**3 + 9060088*m**2 - 9024000*m - 18096128 = 0.
-1, 2, 1504
Factor -621*u**2 + 1248*u - 12.
-3*(u - 2)*(207*u - 2)
Factor l**4/8 - 2*l**3 + 71*l**2/8 - 7*l.
l*(l - 8)*(l - 7)*(l - 1)/8
Factor -164*j**2 - 976*j/3 + 16/3.
-4*(j + 2)*(123*j - 2)/3
Suppose -c**4/4 + 263*c**3/2 - 73741*c**2/4 + 300609*c - 1306449 = 0. What is c?
9, 254
Suppose 3*m**4 - 7*m**3 + 4*m = 0. Calculate m.
-2/3, 0, 1, 2
Factor 2*w**2/5 + 2*w + 8/5.
2*(w + 1)*(w + 4)/5
Suppose -2*y**4 + 32*y**3 = 0. What is y?
0, 16
Find z such that 100*z**5 - 2540*z**4 + 11944*z**3 + 52072*z**2 + 57652*z + 20164 = 0.
-1, 71/5
Factor 2*w**3/15 + 26*w**2/15 + 4*w/3 - 16/5.
2*(w - 1)*(w + 2)*(w + 12)/15
Let -q**4/3 = 0. Calculate q.
0
Find i, given that 3*i**5/2 + 3*i**4 - 6*i**3 - 12*i**2 = 0.
-2, 0, 2
Suppose -2*v**2 + 9*v + 81 = 0. What is v?
-9/2, 9
Factor 4*a**3/3 + 20*a**2 - 1528*a/3 + 928.
4*(a - 12)*(a - 2)*(a + 29)/3
Find b, given that -3*b**2/5 + 39*b - 378/5 = 0.
2, 63
Find r, given that -r**3/6 + 7*r**2/6 + 4*r/3 = 0.
-1, 