l**4/6 - 113*l**3/6 + 39*l**2 + 2506*l/3 + 980/3 = 0. Calculate l.
-5, -2/5, 14
Determine d, given that 2*d**4 + 16*d**3 - 8*d**2 - 64*d = 0.
-8, -2, 0, 2
Solve -2*x**4 + 226*x**3 - 6492*x**2 + 5824*x + 12544 = 0.
-1, 2, 56
Find j such that j**3/2 + 4*j**2 - 9*j/2 = 0.
-9, 0, 1
What is i in -i**2 + 9*i - 20 = 0?
4, 5
Factor 2*n**4 + 2*n**3 - 26*n**2 - 50*n - 24.
2*(n - 4)*(n + 1)**2*(n + 3)
Suppose y**3/8 - y**2 + 2*y = 0. Calculate y.
0, 4
Factor 2*r**3 + 5040*r**2 + 3175200*r.
2*r*(r + 1260)**2
Determine p, given that -3*p**2/4 - 15*p/4 - 3 = 0.
-4, -1
What is g in -3*g**5 + 111*g**4 - 360*g**3 - 1188*g**2 = 0?
-2, 0, 6, 33
Factor 5*h**3 + 20*h**2 + 25*h + 10.
5*(h + 1)**2*(h + 2)
What is b in 2*b**3/5 + 334*b**2/5 + 13776*b/5 - 14112/5 = 0?
-84, 1
Factor -3*k**3/2 - 30*k**2 - 192*k - 384.
-3*(k + 4)*(k + 8)**2/2
Factor 3*y**3/2 - 12*y**2 - 129*y/2 + 165.
3*(y - 11)*(y - 2)*(y + 5)/2
Determine x, given that 3*x**2/2 - 87*x + 171/2 = 0.
1, 57
Determine x so that x**5 - 306*x**4 - 1546*x**3 - 2792*x**2 - 2175*x - 622 = 0.
-2, -1, 311
Solve 7*o**4/5 - 68*o**3/5 + 43*o**2/5 + 18*o/5 = 0 for o.
-2/7, 0, 1, 9
Factor -4*k**2 - 4736*k - 1401856.
-4*(k + 592)**2
Determine h, given that -75*h**5 + 235*h**4 - 766*h**3/3 + 106*h**2 - 11*h + 1/3 = 0.
1/15, 1
Let u**2/2 + 115*u/8 - 29/8 = 0. Calculate u.
-29, 1/4
Solve -2*q**3/7 + 26*q**2/7 - 110*q/7 + 150/7 = 0 for q.
3, 5
Factor -4*w**5 + 1192*w**4 - 91140*w**3 + 345744*w**2.
-4*w**2*(w - 147)**2*(w - 4)
Solve 2*q**3 - 145*q**2/2 + 88*q - 35/2 = 0.
1/4, 1, 35
Solve -88*o**2 + 164*o + 252 = 0.
-1, 63/22
Determine y so that 1008*y**2 - 309*y + 6 = 0.
1/48, 2/7
Factor -2*v**3 - 252*v**2 - 984*v - 976.
-2*(v + 2)**2*(v + 122)
Factor 5*i**3 + 250*i**2 + 2860*i - 6760.
5*(i - 2)*(i + 26)**2
Let 2*g**5 - 22*g**4/3 - 4*g**3 + 16*g**2/3 = 0. What is g?
-1, 0, 2/3, 4
Determine x, given that -3*x**5/2 - 18*x**4 - 39*x**3 + 78*x**2 + 81*x/2 - 60 = 0.
-8, -5, -1, 1
Factor 5*q**4 + 15*q**3 + 10*q**2.
5*q**2*(q + 1)*(q + 2)
Factor -5*t**3/3 - 10*t**2/3 + 25*t + 60.
-5*(t - 4)*(t + 3)**2/3
Factor -2*o**2 + 1372*o - 235298.
-2*(o - 343)**2
Determine z, given that 2*z**4 + 658*z**3 + 55098*z**2 + 160718*z + 106276 = 0.
-163, -2, -1
Find k such that -2*k**2 - 8*k + 42 = 0.
-7, 3
Factor 2*i**2/3 + 3*i - 26/3.
(i - 2)*(2*i + 13)/3
Suppose -k**4/6 - k**3/3 + 20*k**2/3 + 73*k/3 + 35/2 = 0. Calculate k.
-5, -3, -1, 7
Factor z**3 - 82*z**2 + 1596*z + 3528.
(z - 42)**2*(z + 2)
Suppose q**5/10 + 26*q**4/5 + 243*q**3/10 + 38*q**2 + 94*q/5 = 0. Calculate q.
-47, -2, -1, 0
Determine x, given that x**4/10 - 28*x**3/5 - 129*x**2/10 + 382*x/5 - 58 = 0.
-5, 1, 2, 58
Factor -2*o**5/9 + 52*o**4/9 + 110*o**3/9 + 56*o**2/9.
-2*o**2*(o - 28)*(o + 1)**2/9
Determine v so that -3*v**3/2 + 95*v**2/2 - 61*v/2 - 31/2 = 0.
-1/3, 1, 31
Find d, given that -2*d**2 - 5624*d - 3953672 = 0.
-1406
Factor -3*r**3/4 + 75*r**2/4 + 525*r/2.
-3*r*(r - 35)*(r + 10)/4
Factor 28*r**2/5 - 48*r/5 - 16/5.
4*(r - 2)*(7*r + 2)/5
Determine b so that -4*b**5/7 - 92*b**4/7 - 716*b**3/7 - 316*b**2 - 2880*b/7 - 1296/7 = 0.
-9, -2, -1
Solve 3*p**3/5 + 468*p**2/5 = 0.
-156, 0
Factor -4*w**2/11 - 146*w/11 - 72/11.
-2*(w + 36)*(2*w + 1)/11
What is y in -6*y**3/5 - 1377*y**2/5 - 684*y/5 + 687/5 = 0?
-229, -1, 1/2
Factor 2805267*c**2/2 - 1934*c + 2/3.
(2901*c - 2)**2/6
Factor 2*a**3/11 - 56*a**2/11 + 392*a/11.
2*a*(a - 14)**2/11
Solve -5*c**2 - 25*c + 120 = 0.
-8, 3
Solve 100*z**3/7 + 7720*z**2/7 + 156416*z/7 + 282752/7 = 0.
-188/5, -2
Factor -2*i**5/5 + 338*i**4/5 - 1002*i**3/5 + 998*i**2/5 - 332*i/5.
-2*i*(i - 166)*(i - 1)**3/5
Factor 3*w**3/2 + 81*w**2 - 171*w/2 - 165.
3*(w - 2)*(w + 1)*(w + 55)/2
Factor 3*a**3/4 - 15*a**2/4 - 3*a/2 + 18.
3*(a - 4)*(a - 3)*(a + 2)/4
Factor 9*k**2 - 660*k + 219.
3*(k - 73)*(3*k - 1)
Factor 4*w**4 - 5736*w**3 + 2741808*w**2 - 436861408*w.
4*w*(w - 478)**3
Factor -3*y**5 - 105*y**4 + 333*y**3 - 339*y**2 + 114*y.
-3*y*(y - 1)**3*(y + 38)
Suppose -i**5/4 + i**4/2 + i**3/4 - i**2/2 = 0. What is i?
-1, 0, 1, 2
Factor 7*v**4 - 1914*v**3 + 130287*v**2 + 75076*v.
v*(v - 137)**2*(7*v + 4)
Solve -49*b**4/4 - 7*b**3 + 33*b**2/2 + 5*b - 25/4 = 0 for b.
-1, 5/7
Factor 10*y**3 + 115*y**2 + 140*y - 100.
5*(y + 2)*(y + 10)*(2*y - 1)
Factor -4*g**4 + 4*g**3 + 32*g**2 - 48*g.
-4*g*(g - 2)**2*(g + 3)
Factor 38*p**2/5 - 28*p/5.
2*p*(19*p - 14)/5
Solve y**4/3 + 1100*y**3/3 + 101564*y**2 + 1205600*y/3 + 1201216/3 = 0.
-548, -2
Factor 2*b**4 + 6*b**3 - 18*b**2 + 10*b.
2*b*(b - 1)**2*(b + 5)
Determine q, given that q**5/4 + q**4/4 - 11*q**3/4 + 7*q**2/4 + 5*q/2 - 2 = 0.
-4, -1, 1, 2
Let c**3/3 - 52*c**2/3 + 17*c = 0. Calculate c.
0, 1, 51
Determine v so that 25*v**5 - 765*v**4 + 5290*v**3 + 8640*v**2 + 2560*v = 0.
-1, -2/5, 0, 16
Let -5*m**5 - 50*m**4 + 5*m**3 + 50*m**2 = 0. Calculate m.
-10, -1, 0, 1
What is o in 245*o**5 + 140*o**4 - 225*o**3 - 140*o**2 - 20*o = 0?
-1, -2/7, 0, 1
Let -3*p**3/5 + 626*p**2/5 + 5417*p/5 + 1736/5 = 0. What is p?
-8, -1/3, 217
Solve 4*d**5/3 + 364*d**4/3 + 5644*d**3/3 + 28900*d**2/3 + 42304*d/3 + 18688/3 = 0 for d.
-73, -8, -1
Suppose -4*r**3 + 34*r**2/3 + 10*r/3 - 4 = 0. Calculate r.
-2/3, 1/2, 3
Solve 4*d**2 + 108*d + 648 = 0.
-18, -9
Factor -3*x**2 + 39*x + 42.
-3*(x - 14)*(x + 1)
Solve -12*v**5 + 39*v**4 - 45*v**3 + 21*v**2 - 3*v = 0.
0, 1/4, 1
Factor -v**4/4 + 7*v**3/4 + 3*v**2/4 - 19*v/4 - 7/2.
-(v - 7)*(v - 2)*(v + 1)**2/4
Let -2*b**3 - 64*b**2 + 8*b + 256 = 0. Calculate b.
-32, -2, 2
Factor 3*w**4 - 714*w**3 + 47187*w**2 - 559776*w + 1843968.
3*(w - 112)**2*(w - 7)**2
Factor -3*j**2 + 1657*j - 552.
-(j - 552)*(3*j - 1)
Suppose 8*d**3/3 + 286*d**2/3 + 2008*d/3 - 520/3 = 0. Calculate d.
-26, -10, 1/4
Solve w**4 + 7*w**3 - 39*w**2 + 53*w - 22 = 0.
-11, 1, 2
Factor -5*v**3 + 135*v**2 - 120*v - 260.
-5*(v - 26)*(v - 2)*(v + 1)
Factor 2*o**2 + 82*o + 840.
2*(o + 20)*(o + 21)
Suppose -5*o**5 - 15*o**4 + 550*o**3 + 1200*o**2 - 14720*o - 15360 = 0. Calculate o.
-8, -1, 6, 8
Suppose 3*s**4 - 12*s**3 + 18*s**2 - 12*s + 3 = 0. Calculate s.
1
Factor -3*w**2/5 + 18*w/5.
-3*w*(w - 6)/5
Determine w, given that -2*w**4/9 - 4*w**3/9 + 2*w**2 + 4*w/9 - 16/9 = 0.
-4, -1, 1, 2
Factor 5*v**3/2 + 295*v**2/2 + 420*v.
5*v*(v + 3)*(v + 56)/2
Suppose 2*p**5/7 + 10*p**4/7 - 18*p**3/7 - 34*p**2/7 + 16*p/7 + 24/7 = 0. What is p?
-6, -1, 1, 2
Solve -q**2/4 - 11*q + 2117/4 = 0 for q.
-73, 29
Factor -f**2/6 - 278*f - 1667/6.
-(f + 1)*(f + 1667)/6
Find c, given that 2*c**4 + 6*c**3 - 6*c**2 - 22*c - 12 = 0.
-3, -1, 2
Suppose 2*g**2/7 + 22*g/7 - 1044/7 = 0. Calculate g.
-29, 18
Factor -i**3 - 40*i**2 - 77*i - 38.
-(i + 1)**2*(i + 38)
Determine i, given that 4*i**4/5 + 624*i**3/5 + 24336*i**2/5 = 0.
-78, 0
Factor t**4/8 - 7*t**3/8 + 17*t**2/8 - 17*t/8 + 3/4.
(t - 3)*(t - 2)*(t - 1)**2/8
Determine a, given that 5*a**3/4 + 115*a**2/2 + 1975*a/4 - 1105/2 = 0.
-34, -13, 1
Factor -2*z**4/11 + 1072*z**3/11 - 13156*z**2 + 286224*z/11 - 142578/11.
-2*(z - 267)**2*(z - 1)**2/11
Factor 2*t**3/5 - 184*t**2/5 + 178*t/5 + 364/5.
2*(t - 91)*(t - 2)*(t + 1)/5
Let -3*b**4 + 576*b**3 - 28218*b**2 + 54720*b - 27075 = 0. What is b?
1, 95
Determine v so that 2*v**3 - 50*v**2 + 92*v = 0.
0, 2, 23
Factor 100*w**3 - 31820*w**2 + 38076*w - 11412.
4*(w - 317)*(5*w - 3)**2
Factor 5*r**3 + 185*r**2 + 1800*r + 1620.
5*(r + 1)*(r + 18)**2
Factor -2*k**4 + 150*k**2 - 500*k.
-2*k*(k - 5)**2*(k + 10)
Determine o, given that 5*o**5/3 + 10*o**4 + 15*o**3 - 20*o**2/3 - 20*o = 0.
-3, -2, 0, 1
Let -2*d**3 + 16*d**2 + 18*d = 0. What is d?
-1, 0, 9
Find a, given that -15*a**3 - 48*a**2 + 141*a + 30 = 0.
-5, -1/5, 2
Let -81*y**4/7 - 144*y**3/7 + 296*y**2/7 + 320*y/7 - 400/7 = 0. What is y?
-2, 10/9
Let j**5/6 + j**4/2 - 11*j**3/3 - 7*j**2 + 39*j/2 + 45/2 = 0. What is j?
-5, -3, -1, 3
Factor 2*u**2/5 + 36*u/5 - 638/5.
2*(u - 11)*(u + 29)/5
Let -2*f**3/11 - 2*f**2 - 16*f/11 + 40/11 = 0. What is f?
-10, -2, 1
Solve 45*l**5 - 825*l**4 + 5360*l**3 - 14980*l**2 + 18400*l - 8000 = 0.
1, 2, 20/3
Factor -25*f**5/3 - 1220*f**4/3 - 15364*f**3/3 - 3904*f**2 - 768*f.
-f*(f + 24)**2*(5*f + 2)**2/3
Factor -4*h**4/5 + 40*h**3 + 636*h**2/5.
-4*h**2*(h - 53)*(h + 3)/5
Suppose 7*f**3/4 + 13*f**2/2 + 13*f/4 - 3/2 = 0. What is f?
-3, -1, 2/7
Let -o**2/5 - 808*o/5 - 807/5 = 0. What is o?
-807, -1
Determine w so that -2*w