**4/5 + 16*k**3/5.
-2*k**3*(k - 2)*(k + 4)/5
Factor -15*d**2 + 15936*d - 15921.
-3*(d - 1)*(5*d - 5307)
Factor 3*j**4/2 - 3*j**3/2 - 21*j**2/2 + 39*j/2 - 9.
3*(j - 2)*(j - 1)**2*(j + 3)/2
Find x such that 3*x**3/4 + 51*x**2/2 + 99*x/4 = 0.
-33, -1, 0
Factor -4*n**3 - 28*n**2 + 72*n.
-4*n*(n - 2)*(n + 9)
Factor -3*p**3 + 24*p**2 - 57*p + 36.
-3*(p - 4)*(p - 3)*(p - 1)
Solve -402*c**2/17 - 800*c/17 + 8/17 = 0 for c.
-2, 2/201
Factor u**3 + 204*u**2 + 13872*u + 314432.
(u + 68)**3
Factor 4*d**3/3 - 16*d**2 + 68*d/3 + 40.
4*(d - 10)*(d - 3)*(d + 1)/3
Factor -5*w**3 - 15*w**2 + 5*w + 15.
-5*(w - 1)*(w + 1)*(w + 3)
Suppose -3*q**2/8 - 21*q/8 + 45 = 0. Calculate q.
-15, 8
Solve 2*y**4/9 - 10*y**3/3 - 26*y**2 - 42*y = 0 for y.
-3, 0, 21
Factor -4*a**3 + 44*a**2 - 40*a.
-4*a*(a - 10)*(a - 1)
Factor 4*n**2 + 15496*n + 15007876.
4*(n + 1937)**2
Solve -3*c**4/7 - 6*c**3/7 + 6*c/7 + 3/7 = 0.
-1, 1
Let -c**3 + c**2 + 4*c - 4 = 0. Calculate c.
-2, 1, 2
Factor 2*l**3/3 - 20*l**2/3 - 200*l/3 + 2000/3.
2*(l - 10)**2*(l + 10)/3
Factor v**2/6 - 3*v/2 - 26/3.
(v - 13)*(v + 4)/6
Suppose -3669*v**4 - 3671*v**3 - 2*v**2 = 0. What is v?
-1, -2/3669, 0
Solve 2*l**2/17 - 16*l + 544 = 0.
68
Determine x, given that 2*x**3/7 + 1174*x**2/7 + 172870*x/7 + 171698/7 = 0.
-293, -1
Factor -t**2/3 - 2*t - 8/3.
-(t + 2)*(t + 4)/3
Factor -2*i**3/7 - 2*i**2 - 32*i/7 - 24/7.
-2*(i + 2)**2*(i + 3)/7
Factor -4*k**2 - 284*k.
-4*k*(k + 71)
Factor 2*a**3/5 + 52*a**2/5 + 182*a/5 + 132/5.
2*(a + 1)*(a + 3)*(a + 22)/5
Find j such that -2*j**4 - 14*j**3 - 30*j**2 - 26*j - 8 = 0.
-4, -1
Factor b**2/6 + 17*b/3 - 12.
(b - 2)*(b + 36)/6
Factor -2*g**2 + 40*g.
-2*g*(g - 20)
Factor -6*d**3/13 - 40*d**2/13 + 14*d/13.
-2*d*(d + 7)*(3*d - 1)/13
Suppose 64*y**5 - 640*y**4 + 1932*y**3 - 1660*y**2 + 304*y = 0. What is y?
0, 1/4, 1, 4, 19/4
Determine a so that a**4/3 = 0.
0
Let -2*k**4/7 + 16*k**3/7 - 16*k**2/7 - 64*k/7 + 96/7 = 0. Calculate k.
-2, 2, 6
Suppose -3*w**4 + 999*w**3 - 81618*w**2 - 264096*w + 846720 = 0. Calculate w.
-5, 2, 168
Factor 3*a**3/7 - 180*a**2/7 + 177*a/7.
3*a*(a - 59)*(a - 1)/7
Solve -5*o**2 - 55*o - 90 = 0 for o.
-9, -2
Let 8*a**4/7 - 1178*a**3/7 + 538*a**2 - 3172*a/7 + 576/7 = 0. Calculate a.
1/4, 1, 2, 144
Determine b so that 13*b**5 + 24*b**4 - 4*b**3 = 0.
-2, 0, 2/13
Suppose -2*w**4/7 + 1222*w**3/7 - 187270*w**2/7 + 186050*w/7 = 0. What is w?
0, 1, 305
Factor -g**3/2 - 5*g**2 + 23*g/2 - 6.
-(g - 1)**2*(g + 12)/2
Suppose -2*r**3/3 - 356*r**2/9 - 1438*r/9 - 440/9 = 0. Calculate r.
-55, -4, -1/3
Let x**2/2 + 6*x + 11/2 = 0. Calculate x.
-11, -1
What is d in 2*d**5 + 6*d**4 - 4*d**3 - 12*d**2 + 2*d + 6 = 0?
-3, -1, 1
Suppose -d**5/7 + d**4/7 + 3*d**3/7 - 5*d**2/7 + 2*d/7 = 0. What is d?
-2, 0, 1
Find u, given that 7*u**2/4 + 885*u/4 - 127 = 0.
-127, 4/7
Factor -4*t**2/7 - 48*t/7 + 52/7.
-4*(t - 1)*(t + 13)/7
Factor 3*s**5/2 - 11*s**4/4 - s**3/2.
s**3*(s - 2)*(6*s + 1)/4
Determine h so that -h**3 + 35*h**2 - 288*h - 324 = 0.
-1, 18
Factor 2*o**2/23 + 54*o/23.
2*o*(o + 27)/23
Solve 2*p**2/9 + 304*p/9 + 11552/9 = 0 for p.
-76
Solve -5*m**3 + 2965*m**2 - 438075*m - 441045 = 0.
-1, 297
Factor -h**3/3 - 174*h**2 - 22707*h.
-h*(h + 261)**2/3
Let -20*o**2 + 308*o - 392 = 0. What is o?
7/5, 14
Find y such that 5*y**3 + 305*y**2 + 1650*y = 0.
-55, -6, 0
Suppose -2*g**2/7 - 432*g - 163296 = 0. Calculate g.
-756
Determine l so that l**2 + 21*l - 352 = 0.
-32, 11
Factor -5*u**4 - 10*u**3 + 45*u**2 + 90*u.
-5*u*(u - 3)*(u + 2)*(u + 3)
Suppose 2*m**3 + 162*m**2 + 3024*m - 10584 = 0. Calculate m.
-42, 3
Solve -2*u**3/17 + 78*u**2/17 + 84*u/17 - 160/17 = 0.
-2, 1, 40
What is j in 21*j**5/4 - 75*j**4/8 - 75*j**3/4 - 15*j**2/8 + 9*j/4 = 0?
-1, -1/2, 0, 2/7, 3
Suppose 2*d**3 + 146*d**2 + 424*d + 280 = 0. What is d?
-70, -2, -1
Factor 4*h**5 - 116*h**4 + 780*h**3 + 900*h**2.
4*h**2*(h - 15)**2*(h + 1)
Solve 14*l**4/13 - 270*l**3/13 + 328*l**2/13 - 72*l/13 = 0 for l.
0, 2/7, 1, 18
Factor j**3/3 + 2*j**2 + 11*j/3 + 2.
(j + 1)*(j + 2)*(j + 3)/3
Let 10*o**3 - 264*o**2 + 1794*o - 676 = 0. What is o?
2/5, 13
Factor 3*g**4 + 21*g**3 - 120*g**2 + 132*g.
3*g*(g - 2)**2*(g + 11)
Find r, given that 2*r**4/7 - 4*r**3/7 - 2*r**2/7 + 4*r/7 = 0.
-1, 0, 1, 2
Solve -k**2 - 37*k - 270 = 0 for k.
-27, -10
Suppose -5*h**2 + 400*h - 395 = 0. What is h?
1, 79
Solve 2*m**4/3 - 760*m**3/3 + 24066*m**2 + 760*m/3 - 72200/3 = 0 for m.
-1, 1, 190
What is p in 7*p**5 + 285*p**4 + 471*p**3 + 115*p**2 - 78*p = 0?
-39, -1, 0, 2/7
Let -1796*f**2 - 1776*f + 20 = 0. What is f?
-1, 5/449
Find d, given that -d**3 - 80*d**2/3 + 9*d = 0.
-27, 0, 1/3
Factor r**4/3 - 778*r**3/3 + 150541*r**2/3 + 101140*r + 50700.
(r - 390)**2*(r + 1)**2/3
Solve -2*n**4/5 + 10*n**3 - 14*n**2 - 106*n + 552/5 = 0.
-3, 1, 4, 23
Solve -3*l**4 - 33*l**3 - 135*l**2 - 243*l - 162 = 0.
-3, -2
Factor 147*f**3/2 - 60039*f**2/2 - 17172*f - 2454.
3*(f - 409)*(7*f + 2)**2/2
Let 2*q**2 - 34*q - 76 = 0. Calculate q.
-2, 19
Factor 4*i**4 + 2764*i**3 - 8316*i**2 + 8324*i - 2776.
4*(i - 1)**3*(i + 694)
Factor -q**4 - 20*q**3 - 52*q**2 + 480*q - 576.
-(q - 2)**2*(q + 12)**2
Solve -5*b**4 - 30*b**3 + 135*b**2 - 20*b - 180 = 0.
-9, -1, 2
What is j in -2*j**4/15 - 28*j**3/5 - 136*j**2/3 + 1564*j/5 + 1058/3 = 0?
-23, -1, 5
Solve h**4/3 - 9*h**3 - 11*h**2 + 143*h/3 - 28 = 0 for h.
-3, 1, 28
Factor -22*c**3 + 172*c**2 - 298*c - 60.
-2*(c - 5)*(c - 3)*(11*c + 2)
Factor p**2/3 + 5*p - 34/3.
(p - 2)*(p + 17)/3
Find l such that -4*l**2 - 60*l - 216 = 0.
-9, -6
Determine n so that -2*n**2 - 40*n - 200 = 0.
-10
Suppose x**5 - 39*x**4 + 73*x**3 + 39*x**2 - 74*x = 0. What is x?
-1, 0, 1, 2, 37
Suppose 14*b**3 + 2376*b**2 + 1686*b - 676 = 0. Calculate b.
-169, -1, 2/7
Suppose -y**3 - 4*y**2 + 5*y = 0. What is y?
-5, 0, 1
Solve 33*i**5 - 5*i**4 - 57*i**3 + i**2 + 24*i + 4 = 0.
-1, -2/3, -2/11, 1
Factor 5*j**3 + 285*j**2 - 1200*j + 1220.
5*(j - 2)**2*(j + 61)
Let -3*z**3/8 + 291*z**2/8 + 147*z/4 = 0. Calculate z.
-1, 0, 98
Factor x**3/6 - 31*x**2/2 + 61*x/2 - 91/6.
(x - 91)*(x - 1)**2/6
Find x, given that -3*x**4/7 - 45*x**3/7 - 27*x**2 - 243*x/7 = 0.
-9, -3, 0
Factor 20*u**3 + 1585*u**2 + 1920*u - 2340.
5*(u + 2)*(u + 78)*(4*u - 3)
Factor 4*r**5/5 + 36*r**4/5 + 108*r**3/5 + 108*r**2/5.
4*r**2*(r + 3)**3/5
Factor -5*d**3 - 1045*d**2 - 2055*d + 3105.
-5*(d - 1)*(d + 3)*(d + 207)
Let 490*t**5/9 - 826*t**4 + 5492*t**3/3 - 7640*t**2/9 + 112*t = 0. What is t?
0, 2/7, 2, 63/5
Solve 2*f**3 - 244*f**2 + 482*f - 240 = 0.
1, 120
Determine i, given that 3*i**5 - 93*i**4 + 126*i**3 + 1398*i**2 - 129*i - 1305 = 0.
-3, -1, 1, 5, 29
Determine g, given that 2*g**3/15 - 4*g**2/5 - 302*g/15 - 96/5 = 0.
-9, -1, 16
Factor 3*u**4 + 594*u**3 + 1179*u**2 + 588*u.
3*u*(u + 1)**2*(u + 196)
Find n such that n**3/4 - 17*n**2/4 + 95*n/4 - 175/4 = 0.
5, 7
Let -w**2/6 - w/3 = 0. Calculate w.
-2, 0
Let -5*o**5 + 30*o**4 - 65*o**3 + 60*o**2 - 20*o = 0. What is o?
0, 1, 2
Let -5*n**5/8 + 13*n**4 - 79*n**3/8 - 5*n**2/2 = 0. What is n?
-1/5, 0, 1, 20
Factor 6*h**3 - 4832*h**2 + 1606*h + 3220.
2*(h - 805)*(h - 1)*(3*h + 2)
What is t in -2*t**2 + 20*t - 32 = 0?
2, 8
Factor d**3 + 10*d**2 + 33*d + 36.
(d + 3)**2*(d + 4)
What is x in -4*x**4 - 4*x**3 + 40*x**2 - 32*x = 0?
-4, 0, 1, 2
Factor g**2 + 1257*g - 1258.
(g - 1)*(g + 1258)
Factor -2*r**4/5 - 4*r**3 + 126*r**2/5 + 1296*r/5.
-2*r*(r - 8)*(r + 9)**2/5
Suppose 15*c**5 + 25*c**4 - 295*c**3 + 515*c**2 - 320*c + 60 = 0. What is c?
-6, 1/3, 1, 2
Factor -3*i**4 + 132*i**3 - 1311*i**2 - 3174*i.
-3*i*(i - 23)**2*(i + 2)
Find i such that -2*i**5/7 + 2*i**3 + 12*i**2/7 = 0.
-2, -1, 0, 3
Determine j so that -j**2/6 + 17*j/3 = 0.
0, 34
Suppose 4*g**2 - 32*g + 60 = 0. What is g?
3, 5
Factor i**2/2 - 391*i/2 - 196.
(i - 392)*(i + 1)/2
Factor 2*t**4 - 246*t**3 + 242*t**2 + 246*t - 244.
2*(t - 122)*(t - 1)**2*(t + 1)
Factor -5*x**5 + 185*x**4 - 1680*x**3.
-5*x**3*(x - 21)*(x - 16)
Factor 2*t**2/3 + 80*t/3 + 152/3.
2*(t + 2)*(t + 38)/3
Find t such that -t**2/7 + 67*t/7 - 310/7 = 0.
5, 62
Solve 2*f**2/5 + 3196*f/5 + 1276802/5 = 0.
-799
What is d in 28*d**3 + 149*d**2/2 + 40*d + 6 = 0?
-2, -3/8, -2/7
Factor -5*m**4 - 140*m**3 - 1335*m**2 - 4720*m - 3520.
-5*(m + 1)*(m + 8)**2*(m + 11)
Factor -3*t**3 + 12*t**2 + 33*t + 18.
-3*(t - 6)*(t + 1)**2
Solve -13*l**4 - 23*l**3 + 6*l**2 = 0.
-2, 0, 3