*a**2/7 + 318*a/7 - 410/7 = 0 for a.
-41, -5, 1
Suppose 2*b**5/5 - 4*b**4/5 - 18*b**3/5 + 28*b**2/5 + 8*b - 48/5 = 0. Calculate b.
-2, 1, 2, 3
Find t, given that -4*t**4 + 40*t**3 + 44*t**2 = 0.
-1, 0, 11
Factor 7*d**3 + 5*d**2 - 16*d + 4.
(d - 1)*(d + 2)*(7*d - 2)
Find f, given that -2*f**3 - 166*f**2 - 2432*f = 0.
-64, -19, 0
Factor i**4 - 4*i**2.
i**2*(i - 2)*(i + 2)
Factor -5*f**4 + 30*f**3 - 25*f**2 - 60*f.
-5*f*(f - 4)*(f - 3)*(f + 1)
Solve 4*w**3/3 + 956*w**2 + 228484*w + 54607676/3 = 0 for w.
-239
Factor 4*d**2 - 60*d + 224.
4*(d - 8)*(d - 7)
Determine a, given that 867*a**2/5 + 861*a/5 - 6/5 = 0.
-1, 2/289
Factor 4*t**4 - 48*t**3 - 880*t**2.
4*t**2*(t - 22)*(t + 10)
Factor n**3 - 6*n**2 + 8*n.
n*(n - 4)*(n - 2)
Factor -2*x**3 + 120*x**2 + 246*x - 73964.
-2*(x - 41)**2*(x + 22)
Suppose -a**4 - 15*a**3 - 32*a**2 + 48*a = 0. Calculate a.
-12, -4, 0, 1
Factor j**5/3 + 2*j**4/3 - j**3/3 - 2*j**2/3.
j**2*(j - 1)*(j + 1)*(j + 2)/3
Factor -6*t**3/11 - 24*t**2/11.
-6*t**2*(t + 4)/11
Factor -j**2/7 + 1248*j/7 - 1247/7.
-(j - 1247)*(j - 1)/7
What is x in 2*x**2 - 2*x = 0?
0, 1
Suppose 5*v**3/6 + 5*v**2/2 - 5*v/6 - 5/2 = 0. Calculate v.
-3, -1, 1
Let -12*p**4 + 256*p**3 - 724*p**2 + 48*p + 432 = 0. What is p?
-2/3, 1, 3, 18
Factor -2*z**4 - 6*z**3 + 18*z**2 + 46*z + 24.
-2*(z - 3)*(z + 1)**2*(z + 4)
Find y such that 5*y**3 + 120*y**2 - 1200*y + 2560 = 0.
-32, 4
Solve -k**5/6 + k**4/2 + 6*k**3 + 16*k**2/3 = 0.
-4, -1, 0, 8
Let 3*l**4 + 109*l**3 + 240*l**2 + 68*l = 0. Calculate l.
-34, -2, -1/3, 0
Let 2*j**4 - 34*j**3/3 + 62*j**2/3 - 46*j/3 + 4 = 0. Calculate j.
2/3, 1, 3
Factor -3*x**5 - 1725*x**4 - 3438*x**3.
-3*x**3*(x + 2)*(x + 573)
Factor -3*s**5/5 + 6*s**4/5 + 9*s**3/5 - 12*s**2/5 - 12*s/5.
-3*s*(s - 2)**2*(s + 1)**2/5
Factor 10*g**4/3 - 34*g**3/3 + 14*g**2 - 22*g/3 + 4/3.
2*(g - 1)**3*(5*g - 2)/3
Solve -r**5/3 + 26*r**4/3 - 22*r**3/3 - 76*r**2/3 + 23*r/3 + 50/3 = 0.
-1, 1, 2, 25
Find o, given that 2*o**5 - 140*o**4 + 248*o**3 + 1648*o**2 - 1024*o - 4352 = 0.
-2, 2, 4, 68
Let -40*b**5 + 484*b**4/3 - 136*b**3/3 - 716*b**2/3 + 8*b = 0. What is b?
-1, 0, 1/30, 2, 3
Factor -5*k**5 + 80*k**3 + 190*k**2 + 165*k + 50.
-5*(k - 5)*(k + 1)**3*(k + 2)
Factor v**4/4 - v**3/2 - 27*v**2/4 + 27.
(v - 6)*(v - 2)*(v + 3)**2/4
Factor -b**3 + 13*b**2 + 29*b + 15.
-(b - 15)*(b + 1)**2
Factor -5*z**2/3 + 50*z + 165.
-5*(z - 33)*(z + 3)/3
Factor -m**2 + 6*m - 8.
-(m - 4)*(m - 2)
Factor -3*h**4 + 117*h**3 - 945*h**2 - 3969*h.
-3*h*(h - 21)**2*(h + 3)
Let 273*u**4/4 + 627*u**3/2 + 63*u**2/4 - 627*u/2 - 84 = 0. Calculate u.
-56/13, -1, -2/7, 1
Let -2*v**4/9 - 7064*v**3/9 - 14122*v**2/9 - 7060*v/9 = 0. Calculate v.
-3530, -1, 0
Factor -2*v**2/15 + 166*v/15 - 32.
-2*(v - 80)*(v - 3)/15
Suppose 10*f**2/9 - 442*f/9 + 88/9 = 0. Calculate f.
1/5, 44
Determine v so that 2*v**5/3 + 16*v**4/3 - 220*v**3/3 + 192*v**2 - 18*v - 288 = 0.
-16, -1, 3
Find x, given that 2*x**5/21 + 80*x**4/21 + 74*x**3/7 - 8*x**2/21 - 296*x/21 = 0.
-37, -2, 0, 1
Factor -4*s**5 + 5*s**4 + 71*s**3 - 226*s**2 + 212*s - 40.
-(s - 2)**3*(s + 5)*(4*s - 1)
Factor 3*y**4 - 18*y**3.
3*y**3*(y - 6)
Factor 3*l**3 - 216*l**2 + 423*l - 210.
3*(l - 70)*(l - 1)**2
Find v, given that -3*v**5/5 + 78*v**4/5 - 519*v**3/5 + 444*v**2/5 + 2772*v/5 + 1728/5 = 0.
-1, 6, 16
Factor -5*k**4 + 15*k**2 - 10*k.
-5*k*(k - 1)**2*(k + 2)
What is n in -3*n**3/2 + 291*n**2/2 - 3192*n + 20286 = 0?
14, 69
Factor -2*v**5/7 - 1280*v**4/7 - 327680*v**3/7 - 41943040*v**2/7 - 2684354560*v/7 - 68719476736/7.
-2*(v + 128)**5/7
What is a in -4*a**3 + 32*a**2 + 4*a - 32 = 0?
-1, 1, 8
Factor 3*y**3 - 3*y**2 - 12*y + 12.
3*(y - 2)*(y - 1)*(y + 2)
Factor 3*w**3 - 126*w**2 - 135*w + 258.
3*(w - 43)*(w - 1)*(w + 2)
Determine k, given that 4*k**2 + 20*k - 96 = 0.
-8, 3
Find y such that 2*y**5 - 28*y**4 - 324*y**3 - 632*y**2 + 322*y + 660 = 0.
-5, -3, -1, 1, 22
Factor 2*i**3/11 + 18*i**2/11 - 1890*i/11 - 2646.
2*(i - 33)*(i + 21)**2/11
Factor c**2 - 13212*c + 43639236.
(c - 6606)**2
Factor 2*h**3/9 + 20*h**2/9 + 64*h/9 + 64/9.
2*(h + 2)*(h + 4)**2/9
Suppose 5*i**2/7 + 16*i + 44/7 = 0. What is i?
-22, -2/5
What is p in 4*p**4/7 - 544*p**3/7 - 480*p**2 - 6784*p/7 - 4544/7 = 0?
-2, 142
Let -20*s**3 - 1032*s**2 - 604*s + 408 = 0. What is s?
-51, -1, 2/5
Factor 5*k**4 + 205*k**3 + 1110*k**2 + 2140*k + 1400.
5*(k + 2)**3*(k + 35)
Factor -2*h**2/13 - 8*h/13 + 570/13.
-2*(h - 15)*(h + 19)/13
Factor h**4/4 + 22*h**3 + 484*h**2.
h**2*(h + 44)**2/4
Factor -5*x**2 + 95*x.
-5*x*(x - 19)
Find r such that -10*r**3/9 + 64*r**2/9 - 74*r/9 + 20/9 = 0.
2/5, 1, 5
Find r, given that 4*r**2 + 660*r + 656 = 0.
-164, -1
Suppose 2*b**2/3 - 20*b/3 + 16 = 0. Calculate b.
4, 6
Determine c so that -3*c**3/7 - 9*c**2/7 - 6*c/7 = 0.
-2, -1, 0
Factor 2*g**4 - 6*g**3 - 20*g**2.
2*g**2*(g - 5)*(g + 2)
Find s such that 3*s**3/7 - 6*s**2/7 - 24*s/7 = 0.
-2, 0, 4
Let -5*t**4 + 5*t**3 + 20*t**2 - 20*t = 0. Calculate t.
-2, 0, 1, 2
What is z in 95*z**5 - 1320*z**4 + 3280*z**3 - 2870*z**2 + 705*z + 110 = 0?
-2/19, 1, 11
Suppose -90*h**2/13 + 356*h/13 + 16/13 = 0. Calculate h.
-2/45, 4
Factor 3*o**3 + 1071*o**2 + 127449*o + 5055477.
3*(o + 119)**3
Solve 2*r**2 - 88*r - 282 = 0 for r.
-3, 47
Solve b**5/4 + 3*b**4/4 - 55*b**3/4 + 141*b**2/4 - 45*b/2 = 0.
-10, 0, 1, 3
Solve -a**2 - 73*a + 74 = 0 for a.
-74, 1
What is l in -l**2/2 - 664*l - 220448 = 0?
-664
Factor -b**2/3 - 56*b - 2352.
-(b + 84)**2/3
Solve h**4 - h**3 - 23*h**2 - 39*h - 18 = 0 for h.
-3, -1, 6
Factor -k**3 + 35*k**2 - 288*k - 324.
-(k - 18)**2*(k + 1)
Find d, given that -d**3/3 + 22*d**2/3 - 25*d + 18 = 0.
1, 3, 18
Let n**5 - n**4/4 - 5*n**3 + 5*n**2/4 + 4*n - 1 = 0. Calculate n.
-2, -1, 1/4, 1, 2
Solve -20*t**5 + 12*t**4 + 68*t**3 + 4*t**2 - 48*t - 16 = 0.
-1, -2/5, 1, 2
Factor -51*h**3 + 614*h**2 - 1860*h + 72.
-(h - 6)**2*(51*h - 2)
Determine l so that 100*l**4/3 - 180*l**3 + 268*l**2 - 260*l/3 + 8 = 0.
1/5, 2, 3
Factor a**4/5 - 7*a**3/5 + 18*a**2/5 - 4*a + 8/5.
(a - 2)**3*(a - 1)/5
Factor -3*w**3/7 - 3*w**2/7 + 60*w/7.
-3*w*(w - 4)*(w + 5)/7
Factor -16*b**4 - 536*b**3 + 828*b**2 - 418*b + 70.
-2*(b + 35)*(2*b - 1)**3
Find d, given that -4*d**4 - 124*d**3 - 700*d**2 + 828*d = 0.
-23, -9, 0, 1
Factor -27*k**5/4 + 9*k**3/2 + 2*k**2 + k/4.
-k*(k - 1)*(3*k + 1)**3/4
Solve 2*j**2/13 - 54*j/13 - 396/13 = 0 for j.
-6, 33
Determine c so that -3*c**5 - 66*c**4 - 402*c**3 - 996*c**2 - 1035*c - 378 = 0.
-14, -3, -1
Factor -2*k**3 - 3*k**2 + 1.
-(k + 1)**2*(2*k - 1)
Factor 2*x**4 + 60*x**3 + 528*x**2 + 1856*x + 2304.
2*(x + 4)**3*(x + 18)
Find u such that -5*u**5/2 + 95*u**4 - 400*u**3 - 10675*u**2 + 805*u/2 + 10580 = 0.
-8, -1, 1, 23
Determine y, given that y**5/6 - 2*y**4/3 - 13*y**3/6 + 2*y**2/3 + 2*y = 0.
-2, -1, 0, 1, 6
Determine c, given that -2*c**3/7 - 90*c**2 - 49296*c/7 + 49928/7 = 0.
-158, 1
Find n, given that 5*n**4 - 45*n**3 - 170*n**2 - 120*n = 0.
-2, -1, 0, 12
Solve -3*w**3/4 - 3*w**2 - 3*w = 0 for w.
-2, 0
Factor -d**2 + 362*d - 32761.
-(d - 181)**2
Factor 30*q**3 + 194*q**2 + 80*q - 24.
2*(q + 6)*(3*q + 2)*(5*q - 1)
Factor -1176*k**4 + 5355*k**3 + 3348*k**2 + 492*k.
-3*k*(7*k + 2)**2*(8*k - 41)
Factor 4*g**2/7 + 5888*g/7 - 11792/7.
4*(g - 2)*(g + 1474)/7
What is s in 2*s**4/19 + 28*s**3/19 + 96*s**2/19 + 36*s/19 - 162/19 = 0?
-9, -3, 1
Factor 2*r**2/23 + 292*r/23 + 10658/23.
2*(r + 73)**2/23
Factor -2*r**3/5 - 602*r**2/5 - 44998*r/5 + 45602/5.
-2*(r - 1)*(r + 151)**2/5
Factor l**2/3 + 28*l/3.
l*(l + 28)/3
Determine r so that -3*r**5/5 + 372*r**3/5 - 366*r**2 - 45*r + 1950 = 0.
-13, -2, 5
Factor g**3/2 + 495*g**2 + 163350*g + 17968500.
(g + 330)**3/2
Factor 8*w**3 + 12*w**2 - 12*w - 8.
4*(w - 1)*(w + 2)*(2*w + 1)
Let -2*m**3 - 28*m**2 - 88*m - 80 = 0. What is m?
-10, -2
Let 12*g**5 + 70*g**4 + 72*g**3 - 86*g**2 - 84*g + 16 = 0. What is g?
-4, -2, -1, 1/6, 1
Let 2*s**3 + 20*s**2 + 42*s = 0. Calculate s.
-7, -3, 0
Factor 81*h**2/8 - 39*h/4 - 3/8.
3*(h - 1)*(27*h + 1)/8
Factor 5*w**4 + 17460*w**3 + 15260030*w**2 + 30467700*w + 15225125.
5*(w + 1)**2*(w + 1745)**2
Factor 2*j**2/11 - 400*j/11 + 398/11.
2*(j - 199)*(j - 1)/11
Suppose -5*k**4/4 + 15*k**2/4 + 5*k/2 = 0. Calculate k.
-1, 0, 2
Determine p, given that p**5 - 13*p**4/4 + 3*p**3/4 + 4*p**2 - p = 0.
-1, 0, 1/4, 2
Let -4*d**5 + 44*d**4 - 36*d**3 - 44*d**2 + 40*d =