3 - 52*m**2/3 + 256*m - 768 = 0 for m.
4, 24
Factor -4*o**3 - 36*o**2 - 92*o - 60.
-4*(o + 1)*(o + 3)*(o + 5)
Suppose -5*h**2 - 500*h + 1020 = 0. What is h?
-102, 2
Determine l so that -l**2/3 - 53*l + 162 = 0.
-162, 3
Factor 4*x**3 - 114*x**2/5 + 64*x/5 + 6.
2*(x - 5)*(x - 1)*(10*x + 3)/5
Factor r**3/4 - 19*r**2 + 1717*r/4 - 6069/2.
(r - 42)*(r - 17)**2/4
Solve 8*t**5/5 + 42*t**4/5 - 318*t**3/5 - 442*t**2/5 - 18*t = 0.
-9, -1, -1/4, 0, 5
Solve 2*q**4/11 - 8*q**3/11 - 14*q**2/11 + 20*q/11 = 0 for q.
-2, 0, 1, 5
Solve -m**5/6 + 2*m**4 - 8*m**3 + 41*m**2/3 - 21*m/2 + 3 = 0 for m.
1, 3, 6
Factor i**5 - 52*i**4 + 629*i**3 - 578*i**2.
i**2*(i - 34)*(i - 17)*(i - 1)
Find j such that -3*j**4 - 36*j**3 - 162*j**2 - 324*j - 243 = 0.
-3
What is x in 5*x**2 + 660*x + 21780 = 0?
-66
Suppose 4*d**5 - 36*d**4 + 56*d**3 = 0. What is d?
0, 2, 7
Find s such that -2*s**3/9 - 172*s**2 = 0.
-774, 0
Determine x so that 5*x**3 - 25*x**2 - 460*x + 480 = 0.
-8, 1, 12
Factor h**2 - 15*h - 406.
(h - 29)*(h + 14)
Solve -5*g**2/4 - 5*g/2 + 15/4 = 0.
-3, 1
Suppose h**2/4 + 49*h/2 = 0. What is h?
-98, 0
Factor 2*o**4/7 - 12*o**3/7 + 10*o**2/7.
2*o**2*(o - 5)*(o - 1)/7
Determine h so that 7*h**4/4 + 5*h**3/4 = 0.
-5/7, 0
Factor -n**2/2 + 45*n - 532.
-(n - 76)*(n - 14)/2
Factor n**3 - 14*n**2.
n**2*(n - 14)
Solve -2*i**3 + 32*i**2 - 82*i + 52 = 0.
1, 2, 13
Factor 3*k**3 - 9*k**2 - 3*k + 9.
3*(k - 3)*(k - 1)*(k + 1)
Factor h**4 - h**3 - 2*h**2.
h**2*(h - 2)*(h + 1)
Solve 2*g**3/3 - 24*g**2 - 50*g - 76/3 = 0 for g.
-1, 38
Factor -4*t**5 - 4*t**4 + 4*t**3 + 4*t**2.
-4*t**2*(t - 1)*(t + 1)**2
Solve u**4/3 + 370*u**3 + 305797*u**2/3 - 412180*u + 1240996/3 = 0.
-557, 2
Factor 2*o**5/3 - 32*o**3/3 + 32*o**2/3 + 32*o - 128/3.
2*(o - 2)**3*(o + 2)*(o + 4)/3
Suppose -4*t**4 + 61*t**3/2 - 123*t**2/2 + 95*t/2 - 25/2 = 0. What is t?
5/8, 1, 5
Let -2*c**3 + 44*c**2 + 50*c - 92 = 0. Calculate c.
-2, 1, 23
Determine s so that -28*s**3 - 96*s**2 - 108*s - 40 = 0.
-10/7, -1
Factor 12*k**4 + 22*k**3 - 2*k**2 - 22*k - 10.
2*(k - 1)*(k + 1)**2*(6*k + 5)
What is j in 2*j**2/5 - 54*j/5 - 116/5 = 0?
-2, 29
Find m such that -m**5/3 + m**4 + 7*m**3/3 - 5*m**2 - 6*m = 0.
-2, -1, 0, 3
Suppose h**3 + 218*h**2 - 439*h + 220 = 0. Calculate h.
-220, 1
Solve 5*t**5 - 420*t**3 - 800*t**2 = 0.
-8, -2, 0, 10
Let 199*h**2/5 - 2586*h/5 - 13/5 = 0. Calculate h.
-1/199, 13
Factor 2*d**3/3 + 8*d**2 + 32*d + 128/3.
2*(d + 4)**3/3
Solve 3*v**2 + 6*v = 0.
-2, 0
Let 5*l**3 + 88*l**2 - 75*l - 702 = 0. What is l?
-18, -13/5, 3
Factor 10*y**3 - 66*y**2 + 86*y - 30.
2*(y - 5)*(y - 1)*(5*y - 3)
Factor 2*l**2/11 + 24*l/11 + 2.
2*(l + 1)*(l + 11)/11
Factor 2*f**4 - 26*f**3 + 114*f**2 - 198*f + 108.
2*(f - 6)*(f - 3)**2*(f - 1)
Determine x so that x**2/4 + 283*x/4 + 141/2 = 0.
-282, -1
Factor r**2/7 + 8098*r/7 + 16394401/7.
(r + 4049)**2/7
Factor -5*l**4 + 5*l**3 + 45*l**2 - 45*l.
-5*l*(l - 3)*(l - 1)*(l + 3)
Suppose 324*x**4/7 - 2412*x**3/7 + 1024*x**2/7 - 16*x = 0. Calculate x.
0, 2/9, 7
Suppose -o**2 - 138*o - 137 = 0. Calculate o.
-137, -1
Suppose -15*s**4/7 + 264*s**3/7 + 393*s**2/7 + 114*s/7 = 0. Calculate s.
-1, -2/5, 0, 19
Find z such that -5*z**2 - 290*z - 560 = 0.
-56, -2
Determine u so that u**4 + 5*u**3 - u**2 - 5*u = 0.
-5, -1, 0, 1
Suppose 3*b**5/5 + 27*b**4/5 + 54*b**3/5 - 12*b**2/5 - 72*b/5 = 0. What is b?
-6, -2, 0, 1
What is g in 5*g**3 - 275*g**2 + 3915*g - 3645 = 0?
1, 27
Factor -j**2/6 + 31*j/3 - 20.
-(j - 60)*(j - 2)/6
Let 3*t**3/4 - 405*t**2/4 + 18225*t/4 - 273375/4 = 0. What is t?
45
Solve 2*w**3/15 + 4*w**2/3 + 6*w/5 = 0.
-9, -1, 0
Solve -3*b**3 + 21*b**2 - 45*b + 27 = 0.
1, 3
Factor 2*s**2/9 - 28*s/9 - 64/9.
2*(s - 16)*(s + 2)/9
Factor 2*c**2/9 - 14*c/9 - 4.
2*(c - 9)*(c + 2)/9
Factor -2*g**2/3 + 220*g/3 - 144.
-2*(g - 108)*(g - 2)/3
What is x in x**5/2 - 5*x**4/2 + 9*x**3/2 - 7*x**2/2 + x = 0?
0, 1, 2
Find i, given that -2*i**5/13 + 16*i**4/13 + 22*i**3/13 - 36*i**2/13 = 0.
-2, 0, 1, 9
Let v**5/3 - v**4 - 11*v**3 - 53*v**2/3 - 8*v = 0. Calculate v.
-3, -1, 0, 8
Factor 5*l**3 + 40*l**2 - 115*l - 150.
5*(l - 3)*(l + 1)*(l + 10)
Solve -n**3 + 98*n**2 - 95*n - 194 = 0 for n.
-1, 2, 97
Solve 2*h**5/9 + 44*h**4/9 + 40*h**3/3 + 116*h**2/9 + 38*h/9 = 0.
-19, -1, 0
Let -3*y**3 + 72*y**2 - 135*y + 66 = 0. What is y?
1, 22
Factor 2*o**5/9 - 20*o**4/9 + 8*o**3 - 112*o**2/9 + 64*o/9.
2*o*(o - 4)*(o - 2)**3/9
Solve 5*x**5/8 + 93*x**4/8 - 353*x**3/8 + 451*x**2/8 - 30*x + 11/2 = 0 for x.
-22, 2/5, 1
Factor 4*v**5 + 44*v**4 - 432*v**3 + 1216*v**2 - 1408*v + 576.
4*(v - 2)**3*(v - 1)*(v + 18)
Solve 4*r**5/5 - 548*r**4/5 + 25384*r**3/5 - 82728*r**2 + 150660*r - 72900 = 0.
1, 45
Suppose -2289*n**3 - 4584*n**2 - 12*n = 0. What is n?
-2, -2/763, 0
Factor 2*y**5 - 244*y**4 + 7192*y**3 + 15376*y**2.
2*y**2*(y - 62)**2*(y + 2)
Factor -3*d**2 - 183*d + 6120.
-3*(d - 24)*(d + 85)
Determine s so that 32*s**5 - 48*s**4 + 24*s**3 - 4*s**2 = 0.
0, 1/2
Factor -c**2 - 17*c + 18.
-(c - 1)*(c + 18)
Suppose -2*t**5/13 - 24*t**4/13 - 74*t**3/13 - 84*t**2/13 - 32*t/13 = 0. What is t?
-8, -2, -1, 0
Factor 256*a**4 - 3008*a**3 + 2160*a**2 - 532*a + 44.
4*(a - 11)*(4*a - 1)**3
Suppose -5*l**5 + 545*l**4 + 2230*l**3 + 3370*l**2 + 2255*l + 565 = 0. What is l?
-1, 113
Determine r, given that -4*r**4 - 196*r**3 = 0.
-49, 0
Let 2*z**4/3 - 4*z**3 - 158*z**2/3 + 56*z = 0. What is z?
-7, 0, 1, 12
Factor -3*s**4 + 222*s**3 + 1656*s**2 + 3618*s + 2187.
-3*(s - 81)*(s + 1)*(s + 3)**2
Factor -y**5/4 + 7*y**4 - 48*y**3 + 209*y**2/2 - 367*y/4 + 57/2.
-(y - 19)*(y - 6)*(y - 1)**3/4
Factor -q**4 - 81*q**3 - 312*q**2 - 308*q.
-q*(q + 2)**2*(q + 77)
Factor 5*x**4/4 + 441*x**3/2 + 12921*x**2 + 497783*x/2 - 616137/4.
(x + 59)**3*(5*x - 3)/4
Factor 5*x**2 + 1090*x + 59405.
5*(x + 109)**2
Let 16*c**5/3 - 8*c**4 - 71*c**3/3 - 3*c**2 + 19*c/3 - 1 = 0. What is c?
-1, 1/4, 3
Factor 5*d**3 - 60*d**2 + 55*d.
5*d*(d - 11)*(d - 1)
Let -3*u**2/7 + 432*u/7 + 435/7 = 0. Calculate u.
-1, 145
Factor 2*h**4/5 - 2*h**2/5.
2*h**2*(h - 1)*(h + 1)/5
Solve j**3/4 + 2053*j**2/4 + 513*j = 0.
-2052, -1, 0
Factor -4*m**3/5 + 12*m**2/5 + 16*m/5.
-4*m*(m - 4)*(m + 1)/5
Factor -2*o**2/15 + 22*o/15 + 8.
-2*(o - 15)*(o + 4)/15
Determine i, given that 14*i**3/3 + 808*i**2/3 + 2792*i/3 - 288 = 0.
-54, -4, 2/7
Suppose -10*f**3/11 - 218*f**2/11 - 548*f/11 - 304/11 = 0. Calculate f.
-19, -2, -4/5
Factor -5041*d**2 + 1704*d - 144.
-(71*d - 12)**2
Solve 4*i**5 - 76*i**4 + 465*i**3 - 1148*i**2 + 980*i = 0 for i.
0, 2, 7/2, 10
Find a, given that -2*a**5/7 - 2*a**4/7 + 8*a**3/7 + 8*a**2/7 = 0.
-2, -1, 0, 2
What is v in 4*v**3 - 60*v**2 - 4*v + 60 = 0?
-1, 1, 15
Find w, given that 2*w**5/9 - 18*w**4 + 540*w**3 - 64700*w**2/9 + 113750*w/3 - 31250 = 0.
1, 15, 25
Factor -3*f**2 + 123*f + 1008.
-3*(f - 48)*(f + 7)
Let -3*f**3 + 15*f**2 + 24*f - 36 = 0. Calculate f.
-2, 1, 6
Factor k**5 - 38*k**4 + 168*k**3 + 742*k**2 + 823*k + 288.
(k - 32)*(k - 9)*(k + 1)**3
What is v in v**3 - 9*v**2 - v + 9 = 0?
-1, 1, 9
Suppose -33*u**4 - 3108*u**3 + 2571*u**2 + 570*u = 0. Calculate u.
-95, -2/11, 0, 1
Solve 2*c**5/11 + 54*c**4/11 - 386*c**3/11 + 30*c**2 = 0 for c.
-33, 0, 1, 5
Suppose -n**2/6 + 569*n/6 + 571/3 = 0. Calculate n.
-2, 571
Factor 3*y**3/8 + 957*y**2/8 + 78657*y/8 + 369735/8.
3*(y + 5)*(y + 157)**2/8
Factor -h**2 + 96*h - 95.
-(h - 95)*(h - 1)
Factor f**3/5 - 17*f**2 + 1927*f/5 - 5043/5.
(f - 41)**2*(f - 3)/5
Find n, given that -8*n**4 - 20*n**3 - 4*n**2 + 8*n = 0.
-2, -1, 0, 1/2
Suppose -25*q**5/3 - 275*q**4/6 + 71*q**3/2 + 66*q**2 + 18*q = 0. Calculate q.
-6, -3/5, -2/5, 0, 3/2
Solve 12*s**2 - 926*s + 154 = 0.
1/6, 77
Factor -2*u**2 + 26*u - 24.
-2*(u - 12)*(u - 1)
Factor -5*t**4 - 285*t**3 + 295*t**2 + 285*t - 290.
-5*(t - 1)**2*(t + 1)*(t + 58)
Find h such that -h**4/7 + h**3/7 + h**2/7 - h/7 = 0.
-1, 0, 1
Factor -4*g**2 - 412*g + 840.
-4*(g - 2)*(g + 105)
Solve 3*v**2/2 - 519*v - 1044 = 0.
-2, 348
Let -3*p**2 + 534*p - 23763 = 0. What is p?
89
Determine q so that 2*q**5/13 - 14*q**4/13 - 82*q**3/13 - 66*q**2/13 = 0.
-3, -1, 0, 11
Let 4*m**2 + 88*m = 0. What is m?
-22, 0
Determine f so that -40*f**3 - 1124*f**2 - 2192*f - 208 = 0.
-26, -2, -1/10
Find d, given that -d**3/3 - 5*d**2/3 + 22*d/3 + 56/3 = 0.
-7, -2, 4
Factor -28*o**2 + 472*o + 68.
-4*(o - 17)*(7*o + 1)
What is n in -5*n**3 + 10*n**2 