, 1, 318
Factor -2*y**3/3 - 14*y**2/3 - 4*y/3 + 80/3.
-2*(y - 2)*(y + 4)*(y + 5)/3
Solve o**3/6 - 3*o**2/2 + 4*o - 8/3 = 0 for o.
1, 4
Solve -t**4 - 44*t**3 - 356*t**2 - 544*t = 0.
-34, -8, -2, 0
Factor -z**4/4 + 6*z**3 - 65*z**2/4 + 21*z/2.
-z*(z - 21)*(z - 2)*(z - 1)/4
Find n such that n**5/3 + 17*n**4 + 91*n**3/3 - 121*n**2 - 992*n/3 - 196 = 0.
-49, -2, -1, 3
Factor 2*i**4 + 84*i**3 + 962*i**2 + 1680*i + 800.
2*(i + 1)**2*(i + 20)**2
Factor 2*a**3/5 + 336*a**2/5 + 664*a/5.
2*a*(a + 2)*(a + 166)/5
Suppose 2*z**2 + 18*z = 0. Calculate z.
-9, 0
Factor 2*v**4/3 - 20*v**3/3 + 2*v**2 + 36*v.
2*v*(v - 9)*(v - 3)*(v + 2)/3
Let -3*f**4 + 9*f**3 + 57*f**2 - 9*f - 54 = 0. Calculate f.
-3, -1, 1, 6
Let -3*k**2/2 - 1413*k/2 + 708 = 0. Calculate k.
-472, 1
Factor 3*r**3 + 33*r**2 - 87*r - 117.
3*(r - 3)*(r + 1)*(r + 13)
Factor 6*l**4/5 - 52*l**3/5 + 128*l**2/5 - 64*l/5.
2*l*(l - 4)**2*(3*l - 2)/5
Factor -n**4/7 + 4*n**3/7 - 3*n**2/7.
-n**2*(n - 3)*(n - 1)/7
Solve -5*r**5 + 145*r**4 - 400*r**3 + 260*r**2 = 0 for r.
0, 1, 2, 26
What is u in u**3/4 + 19*u**2/4 - 95*u/2 - 52 = 0?
-26, -1, 8
Factor -b**5/10 - 45*b**4/2 + 91*b**3 - 137*b**2 + 183*b/2 - 229/10.
-(b - 1)**4*(b + 229)/10
Suppose 3*q**4 + 798*q**3 + 795*q**2 = 0. What is q?
-265, -1, 0
Suppose 5*d**2 + 21575*d - 21580 = 0. Calculate d.
-4316, 1
Factor -3*f**4 - 585*f**3 - 2277*f**2 + 2865*f.
-3*f*(f - 1)*(f + 5)*(f + 191)
Factor z**5/3 - 151*z**4/3 + 5923*z**3/3 - 16873*z**2/3 + 16576*z/3 - 5476/3.
(z - 74)**2*(z - 1)**3/3
Let 2*q**2/23 - 18*q/23 + 16/23 = 0. What is q?
1, 8
Factor -w**4/6 - 31*w**3/6 + 88*w**2/3 - 24*w.
-w*(w - 4)*(w - 1)*(w + 36)/6
Find w such that 12*w**5 + 7810*w**4 + 14284*w**3 + 3894*w**2 = 0.
-649, -3/2, -1/3, 0
Factor 3*d**2/4 + 45*d/4 - 12.
3*(d - 1)*(d + 16)/4
Solve m**4 + 4*m**3 - 13*m**2 - 4*m + 12 = 0.
-6, -1, 1, 2
Suppose n**2/4 + 47*n/4 - 51 = 0. What is n?
-51, 4
What is u in -4*u**3 + 21936*u**2 - 40099008*u + 24433662208 = 0?
1828
Factor 4*y**5 - 20*y**4 + 28*y**3 - 12*y**2.
4*y**2*(y - 3)*(y - 1)**2
Factor -3*t**4 + 3*t**3 + 78*t**2 + 72*t.
-3*t*(t - 6)*(t + 1)*(t + 4)
Find o such that 9*o**3/2 - 57*o**2/4 + 15*o - 21/4 = 0.
1, 7/6
Factor 140*u**4 + 835*u**3 + 1230*u**2 - 45*u.
5*u*(u + 3)**2*(28*u - 1)
Let 28*z**5 + 12*z**4 - 2056*z**3/7 + 2704*z**2/7 - 1056*z/7 + 128/7 = 0. What is z?
-4, 2/7, 1, 2
Determine x so that 60*x**5 + 8*x**4 - 112*x**3/5 - 32*x**2/5 = 0.
-2/5, 0, 2/3
Factor -6*q**5/5 + 4*q**4/5 + 2*q**3 - 8*q**2/5.
-2*q**2*(q - 1)**2*(3*q + 4)/5
Let 2*c**2 - 190*c/3 - 64/3 = 0. Calculate c.
-1/3, 32
Factor 2*t**3 - 18*t**2 + 30*t - 14.
2*(t - 7)*(t - 1)**2
Suppose -3*y**4 + 57*y**3 - 405*y**2 + 1275*y - 1500 = 0. Calculate y.
4, 5
Factor -a**3/2 - 18*a**2 + 451*a/2 - 207.
-(a - 9)*(a - 1)*(a + 46)/2
Factor 3*l**2/8 - 3*l/8 - 3/4.
3*(l - 2)*(l + 1)/8
Factor 4*l**4 - 12*l**3 + 16*l.
4*l*(l - 2)**2*(l + 1)
Solve 2*x**2/15 + 84*x/5 + 96 = 0 for x.
-120, -6
Let -16*q**4 + 12588*q**3 - 2468020*q**2 - 3101568*q - 620944 = 0. What is q?
-1, -1/4, 394
Factor 3*b**3 - 9*b**2 - 3*b + 9.
3*(b - 3)*(b - 1)*(b + 1)
Find g, given that g**5/6 - 10*g**4/3 - 17*g**3/6 + 152*g**2/3 + 350*g/3 + 200/3 = 0.
-2, -1, 5, 20
Find d, given that 2*d**2/11 + 1560*d/11 + 304200/11 = 0.
-390
Factor 2*z**5/7 + 26*z**4/7 + 72*z**3/7 - 32*z**2/7 - 320*z/7 - 288/7.
2*(z - 2)*(z + 2)**3*(z + 9)/7
Suppose 3*d**3 - 810*d**2 - 3276*d - 3288 = 0. What is d?
-2, 274
Let 4*x**5 + 2*x**4 - 28*x**3 - 8*x**2 + 48*x = 0. Calculate x.
-2, 0, 3/2, 2
Suppose -2*b**3/7 - 80*b**2/7 - 74*b/7 + 156/7 = 0. Calculate b.
-39, -2, 1
Solve -c**3/3 - 35*c**2/3 + 73*c/3 - 37/3 = 0.
-37, 1
Factor 5*m**4 + 275*m**3 + 265*m**2 - 275*m - 270.
5*(m - 1)*(m + 1)**2*(m + 54)
Find w such that -3*w**2 + 384*w - 12288 = 0.
64
Find v, given that v**5/3 - 43*v**4/3 + 415*v**3/3 + 321*v**2 + 168*v = 0.
-1, 0, 21, 24
Suppose 3*c**5 - 273*c**4 + 267*c**3 + 273*c**2 - 270*c = 0. What is c?
-1, 0, 1, 90
Factor 5*a**2 - 50*a - 2755.
5*(a - 29)*(a + 19)
Factor -5*k**3 - 440*k**2 - 9680*k.
-5*k*(k + 44)**2
Factor o**5 - 6*o**4 + 12*o**3 - 10*o**2 + 3*o.
o*(o - 3)*(o - 1)**3
Suppose g**2 - 42*g + 80 = 0. Calculate g.
2, 40
Solve -4*i**5 + 8*i**4 - 8*i**2 + 4*i = 0 for i.
-1, 0, 1
Factor 2*j**4/9 + 2*j**3/9 - 8*j**2/3 - 56*j/9 - 32/9.
2*(j - 4)*(j + 1)*(j + 2)**2/9
Factor -c**2 - 51*c - 230.
-(c + 5)*(c + 46)
Factor y**4 + 58*y**3 - y**2 - 58*y.
y*(y - 1)*(y + 1)*(y + 58)
Factor -2*h**4 + 12*h**3 - 26*h**2 + 24*h - 8.
-2*(h - 2)**2*(h - 1)**2
Find x, given that -2*x**5/5 + 18*x**4/5 + 12*x**3/5 - 412*x**2/5 + 1014*x/5 - 126 = 0.
-5, 1, 3, 7
Factor 3*z**2 + 312*z + 612.
3*(z + 2)*(z + 102)
Solve q**3/4 + 21*q**2/2 - 495*q/4 + 325 = 0.
-52, 5
Let 18*u**3/5 - 2046*u**2/5 + 3348*u/5 + 1344/5 = 0. What is u?
-1/3, 2, 112
What is o in -4*o**3/7 - 24*o**2/7 + 4*o/7 + 24/7 = 0?
-6, -1, 1
Factor o**2 + 37*o - 38.
(o - 1)*(o + 38)
Factor o**3/6 - 261*o**2 - 1045*o/2 - 784/3.
(o - 1568)*(o + 1)**2/6
What is v in v**5 + 5*v**4/2 - 7*v**3/2 - 11*v**2 - 2*v + 4 = 0?
-2, -1, 1/2, 2
Suppose -5*j**2 + 20*j + 25 = 0. What is j?
-1, 5
Factor k**2 - 1122*k.
k*(k - 1122)
Suppose -3*u**4 - 2628*u**3 - 863298*u**2 - 126041508*u - 6900772563 = 0. What is u?
-219
Suppose g**3/2 - 22*g**2 - 51*g/2 + 135 = 0. What is g?
-3, 2, 45
Solve -j**5 - 156*j**4 + 6*j**3 + 928*j**2 - 1245*j + 468 = 0 for j.
-156, -3, 1
Factor 2*y**2/5 + 10*y.
2*y*(y + 25)/5
Factor 2*q**3 - 48*q**2 - 2*q + 48.
2*(q - 24)*(q - 1)*(q + 1)
Solve -2*w**5 - 1970*w**4 - 776180*w**3 - 152907460*w**2 - 15061384810*w - 593418561514 = 0.
-197
Factor -3*v**5 + 924*v**4 - 95475*v**3 + 3371814*v**2 - 6460884*v + 3183624.
-3*(v - 102)**3*(v - 1)**2
Determine u, given that 6*u**3 - 171*u**2 - 267*u - 90 = 0.
-1, -1/2, 30
Solve -3*l**3/4 + 75*l**2/4 + 39*l/2 = 0.
-1, 0, 26
Factor 4*d**2 + 924*d + 920.
4*(d + 1)*(d + 230)
Determine n so that -n**5 + 10*n**4 - 8*n**3 - 10*n**2 + 9*n = 0.
-1, 0, 1, 9
Factor 2*h**5 - 2*h**4 - 6*h**3 + 10*h**2 - 4*h.
2*h*(h - 1)**3*(h + 2)
Factor 2*s**2 - 2*s - 12.
2*(s - 3)*(s + 2)
Factor -8*b**3 + 1108*b**2 - 2728*b + 1088.
-4*(b - 136)*(b - 2)*(2*b - 1)
Factor -2*w**4/11 - 452*w**3/11 - 27282*w**2/11 - 197072*w/11 - 380192/11.
-2*(w + 4)**2*(w + 109)**2/11
Factor 18*c**4 - 95*c**3 + 86*c**2 + 105*c + 18.
(c - 3)**2*(2*c + 1)*(9*c + 2)
Factor 3*a**4/4 + 9*a**3/4 - 3*a**2/4 - 9*a/4.
3*a*(a - 1)*(a + 1)*(a + 3)/4
Solve -15*k**4 + 100*k**3 + 635*k**2 + 860*k + 220 = 0.
-2, -1/3, 11
Factor 3*c**3 - 267*c**2 + 3000*c - 2736.
3*(c - 76)*(c - 12)*(c - 1)
Solve 3*q**5 - 6*q**4 - 69*q**3 + 180*q**2 = 0 for q.
-5, 0, 3, 4
Factor -4*g**2/7 + 1380*g/7 - 392.
-4*(g - 343)*(g - 2)/7
Factor -j**2/3 + 2*j - 5/3.
-(j - 5)*(j - 1)/3
Factor -v**4/4 + v**3/2 + 21*v**2 + 95*v/2 - 275/4.
-(v - 11)*(v - 1)*(v + 5)**2/4
What is c in -65*c**5 + 120*c**4 + 345*c**3 - 340*c**2 - 60*c = 0?
-2, -2/13, 0, 1, 3
Suppose 5*y**4 + 15*y**3 - 5*y**2 - 15*y = 0. What is y?
-3, -1, 0, 1
Factor 3*f**3 - 21*f - 18.
3*(f - 3)*(f + 1)*(f + 2)
Solve 5*c**4 + 35*c**3 - 20*c**2 - 560*c - 960 = 0.
-4, -3, 4
Suppose -5*s**2 + 170*s = 0. Calculate s.
0, 34
Let -5*z**4 + 165*z**3 - 465*z**2 + 455*z - 150 = 0. Calculate z.
1, 30
Factor -k**3 - 189*k**2 - 9024*k - 8836.
-(k + 1)*(k + 94)**2
Factor 2*o**2 - 2774*o.
2*o*(o - 1387)
Factor -a**4/3 + 8*a**3/3 + 10*a**2/3 - 8*a/3 - 3.
-(a - 9)*(a - 1)*(a + 1)**2/3
Factor 2*w**5/5 + 16*w**4/5 + 48*w**3/5 + 68*w**2/5 + 46*w/5 + 12/5.
2*(w + 1)**3*(w + 2)*(w + 3)/5
Determine h so that -135*h**4 - 5406*h**3 - 54240*h**2 - 2400*h = 0.
-20, -2/45, 0
Factor -2*d**2 - 566*d - 1124.
-2*(d + 2)*(d + 281)
Determine j so that -2*j**2/13 - 4164*j/13 - 2167362/13 = 0.
-1041
Suppose l**4/10 + l**3/2 - 7*l**2/10 - l/2 + 3/5 = 0. Calculate l.
-6, -1, 1
Factor 12*z**2 + 591*z + 147.
3*(z + 49)*(4*z + 1)
Factor 2*g**4/5 - 2*g**3/5 - 2*g**2 - 6*g/5.
2*g*(g - 3)*(g + 1)**2/5
Factor -2*l**2/9 - 36*l - 1458.
-2*(l + 81)**2/9
Solve -3*c**3 + 24*c**2 - 39*c + 18 = 0 for c.
1, 6
Find p such that p**3/4 + 13*p**2/4 + 23*p/2 + 12 = 0.
-8, -3, -2
Factor -j**5 + 4*j**4 - 3*j**3 - 4*j**2 + 4*j.
-j*(j - 2)**2*(j - 1)*(j + 1)
Suppose -b**2/6 - 23*b/6 - 7 = 0. Calculate b.
-21, -2
Solve 3*v**3 + 13401*v**2 - 3*v - 13401 = 0.
-4467, -1, 1
Let -2*i**5 - 8*i**4 + 40*i**3 + 196*i**2 + 250*i + 100 = 0. What i