k**4 - 4*k**3 - 16*k**2 - 14*k - 4 = 0.
-1, 2
Factor 2*l**2 - 4*l - 6.
2*(l - 3)*(l + 1)
Let -z**2/2 - 35*z - 969/2 = 0. What is z?
-51, -19
Factor 5*w**4 + 30*w**3 + 55*w**2 + 30*w.
5*w*(w + 1)*(w + 2)*(w + 3)
Factor -2*y**2/13 - 5544*y/13 - 3841992/13.
-2*(y + 1386)**2/13
What is d in -d**4 - 21*d**3 - 155*d**2 - 471*d - 504 = 0?
-8, -7, -3
Determine c so that -c**4/2 - 37*c**3/2 - 88*c**2 + 1694*c = 0.
-22, 0, 7
Find a, given that a**4/2 + 315*a**3/2 + 624*a**2 + 622*a = 0.
-311, -2, 0
Factor 3*d**2 - 30*d - 33.
3*(d - 11)*(d + 1)
Factor -2*c**5/5 + 14*c**4/5 - 38*c**3/5 + 10*c**2 - 32*c/5 + 8/5.
-2*(c - 2)**2*(c - 1)**3/5
Let -2*c**4/3 + 784*c**3/3 - 25610*c**2 - 784*c/3 + 76832/3 = 0. What is c?
-1, 1, 196
Factor -i**3/4 - i**2/2 + 3*i/4.
-i*(i - 1)*(i + 3)/4
Factor d**5/4 + 9*d**4/4 + 29*d**3/4 + 43*d**2/4 + 15*d/2 + 2.
(d + 1)**3*(d + 2)*(d + 4)/4
Find d, given that d**4/6 - 29*d**3/6 - 127*d**2/6 - 163*d/6 - 11 = 0.
-2, -1, 33
Find w, given that -2*w**5 + 90*w**4 + 2234*w**3 + 12510*w**2 + 10368*w = 0.
-9, -1, 0, 64
What is a in a**3 + 670*a**2 + 111552*a - 225792 = 0?
-336, 2
Factor -13*j**2/6 - j/3.
-j*(13*j + 2)/6
Suppose -2*o**5 + 10*o**4 + 2*o**3 - 10*o**2 = 0. What is o?
-1, 0, 1, 5
Let 2*x**5/3 - 16*x**4/3 - 32*x**3/3 + 124*x**2/3 + 10*x - 36 = 0. Calculate x.
-3, -1, 1, 2, 9
Let 3*n**2/5 - 8178*n/5 + 5573307/5 = 0. Calculate n.
1363
Solve -v**2/2 + 2*v + 117/2 = 0.
-9, 13
Factor -164*q**4 + 8*q**3.
-4*q**3*(41*q - 2)
Factor -3*z**2/5 - 1434*z/5 + 1437/5.
-3*(z - 1)*(z + 479)/5
Factor m**2/3 - 55*m + 164/3.
(m - 164)*(m - 1)/3
Find s such that 5*s**3/4 + 277*s**2/4 + 55*s/2 = 0.
-55, -2/5, 0
Factor q**3/5 - 6*q**2 + 288*q/5 - 896/5.
(q - 14)*(q - 8)**2/5
Determine q, given that 2*q**3/13 + 16*q**2/13 - 18*q/13 = 0.
-9, 0, 1
Determine x so that 4*x**2 - 1284*x - 3888 = 0.
-3, 324
Factor 3*u**2 - 75*u/4 - 63/4.
3*(u - 7)*(4*u + 3)/4
Factor 2*x**2 + 618*x - 620.
2*(x - 1)*(x + 310)
Solve -c**5/3 + 23*c**4/3 - 68*c**3 + 288*c**2 - 576*c + 432 = 0.
2, 3, 6
Suppose 3*o**2/4 - 72*o + 1728 = 0. What is o?
48
Suppose 16*d**4 + 5028*d**3 + 395640*d**2 + 98596*d = 0. Calculate d.
-157, -1/4, 0
Determine a, given that 168*a**5/19 - 226*a**4/19 - 1618*a**3/19 - 768*a**2/19 + 424*a/19 - 32/19 = 0.
-2, -1, 2/21, 1/4, 4
Factor -5*a**5 + 60*a**4.
-5*a**4*(a - 12)
Find t, given that -t**4 + t**3 + 5*t**2 + 3*t = 0.
-1, 0, 3
What is c in -c**4/3 - 8*c**3/3 + 17*c**2 + 518*c/3 + 784/3 = 0?
-7, -2, 8
Let -n**2/4 - 17*n/4 + 19/2 = 0. What is n?
-19, 2
Factor -4*p**2 - 116*p - 216.
-4*(p + 2)*(p + 27)
Determine k, given that 2*k**2 - 222*k - 224 = 0.
-1, 112
Solve -4*n**5 - 8*n**4 + 88*n**3 + 272*n**2 + 12*n - 360 = 0.
-3, -2, 1, 5
Let -2*h**3/7 - 8*h**2/7 - 10*h/7 - 4/7 = 0. What is h?
-2, -1
Suppose 2*n**2 - 368*n - 370 = 0. Calculate n.
-1, 185
Let 5*h**3 - 415*h**2 = 0. Calculate h.
0, 83
Determine j, given that -20*j**4 + 74*j**3 - 14*j**2 - 90*j + 18 = 0.
-1, 1/5, 3/2, 3
Factor -2*m**3/13 - 42*m**2/13 - 88*m/13 + 360/13.
-2*(m - 2)*(m + 5)*(m + 18)/13
Determine v, given that -2*v**5 - 31*v**4 - 24*v**3 + 244*v**2 - 112*v = 0.
-14, -4, 0, 1/2, 2
What is j in -5*j**2/2 + 95*j/2 + 105 = 0?
-2, 21
Factor 5*h**2/3 + 11*h/6 + 1/6.
(h + 1)*(10*h + 1)/6
Factor -4*s**2/7 - 536*s/7 - 76.
-4*(s + 1)*(s + 133)/7
Factor -4*y**3 + 1484*y**2 - 2956*y + 1476.
-4*(y - 369)*(y - 1)**2
Factor -2*p**2 - 280*p - 9800.
-2*(p + 70)**2
Find r, given that -5*r**5 + 120*r**4 + 1760*r**3 + 5590*r**2 + 6405*r + 2450 = 0.
-7, -2, -1, 35
Let -2*a**5/11 + 8*a**4/11 - 10*a**3/11 + 4*a**2/11 = 0. Calculate a.
0, 1, 2
Factor 2*i**2 + 58*i + 408.
2*(i + 12)*(i + 17)
Let -l**2/6 + 73*l - 15987/2 = 0. What is l?
219
Find h, given that -3*h**5 + 57*h**4 - 321*h**3 + 483*h**2 - 216*h = 0.
0, 1, 8, 9
Let v**2/4 + 29*v/4 - 31/2 = 0. Calculate v.
-31, 2
Factor 2*c**2/11 - 372*c/11 + 17298/11.
2*(c - 93)**2/11
Factor -j**3/4 - 220*j**2 + j/4 + 220.
-(j - 1)*(j + 1)*(j + 880)/4
Suppose 2*j**3/9 + 172*j**2/9 + 664*j/9 + 656/9 = 0. Calculate j.
-82, -2
Let x**5/4 - 495*x**4/4 + 30255*x**3/2 + 92255*x**2/2 + 185505*x/4 + 62001/4 = 0. Calculate x.
-1, 249
Factor -q**4 + 8*q**3 + 53*q**2 - 60*q.
-q*(q - 12)*(q - 1)*(q + 5)
Factor -3*h**2 - 75*h - 462.
-3*(h + 11)*(h + 14)
Factor y**5 - 3*y**3 + 2*y**2.
y**2*(y - 1)**2*(y + 2)
Let 3*b**5 + 3*b**4 - 3*b**3 - 3*b**2 = 0. Calculate b.
-1, 0, 1
Factor 4*w**5 - 212*w**4 + 612*w**3 - 604*w**2 + 200*w.
4*w*(w - 50)*(w - 1)**3
Find s such that -196*s**5 - 12607*s**4 - 402035*s**3/2 + 118021*s**2/2 + 129272*s + 25538 = 0.
-226/7, -1/2, -1/4, 1
Determine w, given that -2*w**3 - 60*w**2 - 216*w - 208 = 0.
-26, -2
Suppose -20*v**2 - 252*v - 424 = 0. Calculate v.
-53/5, -2
Solve -p**4 - 24*p**3 - 89*p**2 + 114*p = 0.
-19, -6, 0, 1
Solve 2*q**2/3 - 28*q/3 - 80 = 0.
-6, 20
Factor -4121204*v**4 + 8364820*v**3 - 246036*v**2 + 2428*v - 8.
-4*(v - 2)*(101*v - 1)**3
Factor -r**3 + 19*r**2 - 35*r + 17.
-(r - 17)*(r - 1)**2
What is n in 2*n**5 + 22*n**4 - 80*n**3 + 56*n**2 = 0?
-14, 0, 1, 2
Solve 2*n**2/7 + 2*n = 0.
-7, 0
Solve s**4/4 + 47*s**3/4 - 51*s**2/2 - 47*s + 98 = 0.
-49, -2, 2
Solve -4*s**5/11 - 1338*s**4/11 - 113552*s**3/11 - 278218*s**2/11 - 221112*s/11 - 55112/11 = 0 for s.
-166, -1, -1/2
Solve -2*l**3/13 + 828*l**2/13 + 8*l/13 - 3312/13 = 0 for l.
-2, 2, 414
Solve 4*i**2 - 15912*i + 15824484 = 0.
1989
Solve -27*b**5/2 + 21*b**4/2 + 33*b**3/2 - 21*b**2/2 - 3*b = 0 for b.
-1, -2/9, 0, 1
Factor 8*w**4 + 2*w**3 - 24*w**2 - 22*w - 4.
2*(w - 2)*(w + 1)**2*(4*w + 1)
Find w such that -2*w**4/11 + 8*w**3/11 + 2*w**2/11 - 32*w/11 + 24/11 = 0.
-2, 1, 2, 3
Factor -o**3 + 568*o**2 - 80656*o.
-o*(o - 284)**2
Find i, given that -2*i**2/11 - 620*i/11 = 0.
-310, 0
Solve 4*u**4 - 164*u**3 - 552*u**2 + 1024*u + 1408 = 0 for u.
-4, -1, 2, 44
Factor x**4/2 + 7*x**3/2 + 5*x**2/2 - 7*x/2 - 3.
(x - 1)*(x + 1)**2*(x + 6)/2
Solve 10*m**4/3 - 26*m**3/9 - 304*m**2/9 - 280*m/9 - 32/9 = 0 for m.
-2, -1, -2/15, 4
Factor -2*h**4 + 8*h**2.
-2*h**2*(h - 2)*(h + 2)
Factor k**2 - 34*k - 72.
(k - 36)*(k + 2)
Suppose 3*f**2/8 - 87*f/2 + 345/8 = 0. What is f?
1, 115
Find h such that 12*h**5 - 219*h**4 - 1530*h**3 - 2964*h**2 - 1464*h + 576 = 0.
-2, 1/4, 24
Solve -5*o**2 + 50*o - 80 = 0 for o.
2, 8
Factor -17*o**5/5 + 2*o**4/5.
-o**4*(17*o - 2)/5
Factor -5*p**3 - 21820*p**2 + 43655*p - 21830.
-5*(p - 1)**2*(p + 4366)
Solve -2*r**4/7 - 2*r**3 - 34*r**2/7 - 34*r/7 - 12/7 = 0 for r.
-3, -2, -1
What is m in -3*m**5/4 - 27*m**4 + 231*m**3/4 + 27*m**2 - 57*m = 0?
-38, -1, 0, 1, 2
Factor 4*d**3/5 - 4*d**2/5 - 4*d - 12/5.
4*(d - 3)*(d + 1)**2/5
Suppose 21*a**4/5 - 50*a**3 - 60*a**2 + 2*a + 39/5 = 0. What is a?
-1, -3/7, 1/3, 13
Determine q, given that -4*q**5 - 156*q**4 - 1868*q**3 - 6884*q**2 - 9792*q - 4624 = 0.
-17, -2, -1
Let 18*j**3 + 418*j**2 - 808*j - 200 = 0. Calculate j.
-25, -2/9, 2
Factor -3*k**4 - 21*k**3 - 30*k**2.
-3*k**2*(k + 2)*(k + 5)
Factor -5*g**4 + 5*g**3 + 45*g**2 - 45*g.
-5*g*(g - 3)*(g - 1)*(g + 3)
Let 294*c**5 - 945*c**4 - 123*c**3 + 963*c**2 - 27*c - 162 = 0. What is c?
-6/7, -3/7, 1/2, 1, 3
Factor y**3 + 9*y**2 + 8*y.
y*(y + 1)*(y + 8)
Determine d, given that 5*d**4 - 305*d**3 + 5075*d**2 - 12615*d = 0.
0, 3, 29
Factor -5*n**4 - 55*n**3 + 365*n**2 - 545*n + 240.
-5*(n - 3)*(n - 1)**2*(n + 16)
Factor 132*b**2/5 + 1328*b/5 + 16.
4*(b + 10)*(33*b + 2)/5
Factor -2*a**2/9 - 10*a/3 - 28/9.
-2*(a + 1)*(a + 14)/9
Factor 3*i**5 + 477*i**4 + 945*i**3 + 471*i**2.
3*i**2*(i + 1)**2*(i + 157)
Factor -15*v**2 + 1248*v + 3612.
-3*(v - 86)*(5*v + 14)
Factor l**3/3 + 11*l**2 - 400*l/3 - 308.
(l - 11)*(l + 2)*(l + 42)/3
Determine m so that -2*m**4 - 6*m**3 + 2*m**2 + 6*m = 0.
-3, -1, 0, 1
Determine i, given that -i**5 + 9*i**4 - 14*i**3 - 34*i**2 + 15*i + 25 = 0.
-1, 1, 5
Factor -2*o**4/11 - 6*o**3 - 540*o**2/11.
-2*o**2*(o + 15)*(o + 18)/11
Let n**2 - 11*n + 24 = 0. Calculate n.
3, 8
Factor 2*n**5/7 - 8*n**4 + 584*n**3/7 - 2752*n**2/7 + 5632*n/7 - 4096/7.
2*(n - 8)**3*(n - 2)**2/7
Determine i, given that 62*i**3/3 + 704*i**2 + 7576*i/3 + 160 = 0.
-30, -4, -2/31
Factor 2*f**2 + 7808*f/7 - 2232/7.
2*(f + 558)*(7*f - 2)/7
What is t in -2*t**3/5 + 66*t**2/5 - 432*t/5 + 160 = 0?
4, 25
Determine n, given that -2*n**4 + 50*n**3 + 52*n**2 = 0.
-1, 0, 26
Determine v, given that -3*v**2 + 330*v +