*v*(v + 1)**3*(v + 4)
Determine l so that 3*l**3/2 + 24*l**2 - 288*l = 0.
-24, 0, 8
Factor 4*y**3 - 448*y**2 + 12544*y.
4*y*(y - 56)**2
Suppose -16*g**3/9 - 266*g**2/9 - 52*g = 0. Calculate g.
-117/8, -2, 0
Factor 2*m**4/3 - 2*m**3 + 2*m**2 - 2*m/3.
2*m*(m - 1)**3/3
Find b, given that -3*b**5/5 + 3*b**4/5 + 9*b**3/5 - 3*b**2/5 - 6*b/5 = 0.
-1, 0, 1, 2
Factor -4*a**4 + 15452*a**3 - 19891872*a**2 + 8526972160*a + 8546879488.
-4*(a - 1288)**3*(a + 1)
Factor -n**2 - 3260*n - 2656900.
-(n + 1630)**2
Let -20*w**3 - 28*w**2 + 112*w + 48 = 0. What is w?
-3, -2/5, 2
Factor l**3/6 - 20*l**2/3 + 71*l/2 - 51.
(l - 34)*(l - 3)**2/6
Find p, given that -10*p**5 - 55*p**4 + 225*p**3 + 175*p**2 - 215*p - 120 = 0.
-8, -1, -1/2, 1, 3
Solve 3*h**5 - 9*h**4 - 27*h**3 + 69*h**2 + 72*h - 108 = 0 for h.
-2, 1, 3
Determine w so that 21*w**4/8 - 123*w**3/8 + 21*w**2 + 33*w/2 - 36 = 0.
-8/7, 2, 3
Let -4*y**2/7 - 864*y - 6044/7 = 0. What is y?
-1511, -1
Find p, given that -16*p**4/5 - 116*p**3/5 - 124*p**2/5 - 24*p/5 = 0.
-6, -1, -1/4, 0
What is z in z**2/4 - 253*z/4 - 255/2 = 0?
-2, 255
Solve 3*c**5/2 + 3*c**4/2 - 21*c**3 + 6*c**2 + 60*c - 48 = 0 for c.
-4, -2, 1, 2
Suppose -20*b**3 + 160*b**2 + 55*b - 1815 = 0. What is b?
-3, 11/2
Suppose 10*s**5/7 + 94*s**4/7 - 94*s**3/7 - 1342*s**2/7 - 228*s - 432/7 = 0. What is s?
-9, -3, -1, -2/5, 4
Determine r so that -3*r**2 - 648*r - 645 = 0.
-215, -1
What is q in 3*q**3 - 3480*q**2 + 1009200*q = 0?
0, 580
Solve -3*w**3 + 21*w**2 + 123*w + 99 = 0.
-3, -1, 11
Factor 16*p**5 - 532*p**4 + 132*p**3.
4*p**3*(p - 33)*(4*p - 1)
Determine r so that -2*r**2 - 296*r - 1152 = 0.
-144, -4
Factor 15*i**3 - 8*i**2 + i.
i*(3*i - 1)*(5*i - 1)
Find j such that -2*j**3/7 + 44*j**2/7 + 34*j - 6936/7 = 0.
-12, 17
Find l, given that 2*l**4/11 - 102*l**3/11 - 114*l**2/11 + 526*l/11 - 312/11 = 0.
-3, 1, 52
Factor -4*c**4 + 16*c**3 - 64*c + 64.
-4*(c - 2)**3*(c + 2)
Factor -4*j**3/7 + 4*j**2 + 96*j/7 - 720/7.
-4*(j - 6)**2*(j + 5)/7
Solve 55*z**2 + 53*z - 2 = 0 for z.
-1, 2/55
Determine i so that -2*i**4/3 - 34*i**3/3 - 28*i**2 + 8*i/3 + 112/3 = 0.
-14, -2, 1
Factor 2*z**2/13 - 4058*z/13 - 4060/13.
2*(z - 2030)*(z + 1)/13
Solve -4*u**3/7 - 2*u**2/7 + 100*u/7 + 50/7 = 0.
-5, -1/2, 5
Factor 20*g**3/3 + 8*g**2.
4*g**2*(5*g + 6)/3
Find t such that -40*t**3 + 345*t**2 - 425*t - 210 = 0.
-3/8, 2, 7
Solve -5*n**3 + 75*n**2 + 360*n - 6480 = 0.
-9, 12
Factor -2*o**3/3 + 18*o**2 - 34*o + 50/3.
-2*(o - 25)*(o - 1)**2/3
Factor -3*u**2 + 1008*u - 84672.
-3*(u - 168)**2
What is o in 5*o**3 + 1345*o**2 + 4000*o + 2660 = 0?
-266, -2, -1
Factor -p**4 - 29*p**3 + 176*p**2 + 204*p.
-p*(p - 6)*(p + 1)*(p + 34)
Solve -20*f**2 - 616*f - 1044 = 0.
-29, -9/5
Let -20*x**3 + 228*x**2 - 88*x = 0. Calculate x.
0, 2/5, 11
Determine p so that 4*p**4 + 142*p**3 + 66*p**2 - 142*p - 70 = 0.
-35, -1, -1/2, 1
What is c in -5*c**2/2 + 1605*c/2 = 0?
0, 321
Factor 28*m**3 + 20*m**2 - 8*m.
4*m*(m + 1)*(7*m - 2)
Suppose 5*y**5 + 40*y**4 + 105*y**3 + 110*y**2 + 40*y = 0. What is y?
-4, -2, -1, 0
Factor 14*k**3 + 155*k**2/2 + 127*k/2 - 90.
(k + 4)*(4*k + 9)*(7*k - 5)/2
Factor 4*m**2 - 824*m + 4800.
4*(m - 200)*(m - 6)
Determine q, given that 32000*q**5 + 526400*q**4 + 2280560*q**3 + 956268*q**2 + 139968*q + 6912 = 0.
-8, -3/20
Factor 20*y**2 - 732*y - 296.
4*(y - 37)*(5*y + 2)
Factor -b**5 - 12*b**4 - 44*b**3 - 48*b**2.
-b**2*(b + 2)*(b + 4)*(b + 6)
What is o in 2*o**4/5 + 46*o**3/5 + 48*o**2 - 288*o/5 = 0?
-12, 0, 1
Find g such that -242*g**4 + 1606*g**3 + 608*g**2 + 56*g = 0.
-2/11, 0, 7
Factor 2*n**2/3 - 170*n/3.
2*n*(n - 85)/3
Determine k, given that 5*k**3/6 - 32*k**2 - 119*k/6 + 13 = 0.
-1, 2/5, 39
Factor 2*j**4/9 - 8*j**2/3 - 32*j/9.
2*j*(j - 4)*(j + 2)**2/9
What is j in -3*j**4/8 - 831*j**3/8 - 1653*j**2/8 - 825*j/8 = 0?
-275, -1, 0
Suppose s**2/7 - 15*s + 252 = 0. What is s?
21, 84
What is n in 3*n**4 - 60*n**3 + 183*n**2 + 630*n = 0?
-2, 0, 7, 15
Determine k, given that k**5 - 4*k**4 + 5*k**3 - 2*k**2 = 0.
0, 1, 2
Factor 4*k**4 + 8*k**3 - 4*k**2 - 8*k.
4*k*(k - 1)*(k + 1)*(k + 2)
Determine u, given that -2*u**2 + 14*u - 24 = 0.
3, 4
Factor -u**4/2 + 10*u**3 - 18*u**2.
-u**2*(u - 18)*(u - 2)/2
Solve 2*h**4 + 263*h**3/3 - 50*h**2/3 - 263*h/3 + 44/3 = 0.
-44, -1, 1/6, 1
Factor 4*f**2 - 16*f - 660.
4*(f - 15)*(f + 11)
Factor x**4/6 + x**3/2 - 3*x**2/2 - 9*x/2.
x*(x - 3)*(x + 3)**2/6
Factor -108*n**2 + 748*n + 56.
-4*(n - 7)*(27*n + 2)
Factor -5*s**2 + 75*s - 180.
-5*(s - 12)*(s - 3)
Find w, given that 2*w**5/13 + 22*w**4/13 - 24*w**3/13 - 296*w**2/13 - 352*w/13 = 0.
-11, -2, 0, 4
Factor -105*f**3 + 515*f**2 + 50*f.
-5*f*(f - 5)*(21*f + 2)
Find c such that 5*c**2 - 30*c - 80 = 0.
-2, 8
Let x**5/2 - 23*x**4/8 + 15*x**3/4 + 25*x**2/8 - 11*x/2 - 3/2 = 0. What is x?
-1, -1/4, 2, 3
Solve -4*o**5 - 82*o**4/3 + 26*o**3/3 + 82*o**2/3 - 14*o/3 = 0.
-7, -1, 0, 1/6, 1
Factor -d**2 + 1395*d - 1394.
-(d - 1394)*(d - 1)
Determine c, given that -c**5 - 8*c**4 - 21*c**3 - 18*c**2 = 0.
-3, -2, 0
Let 5*w**5 - 25*w**4 - 40*w**3 + 220*w**2 + 160*w - 320 = 0. What is w?
-2, 1, 4
Determine c, given that c**2 + 59*c - 186 = 0.
-62, 3
What is t in -3*t**3 - 15*t**2 - 9*t + 27 = 0?
-3, 1
Solve -u**5/2 - 7*u**4 - 4*u**3 + 31*u**2 - 39*u/2 = 0.
-13, -3, 0, 1
Let 676*q**5 + 1716*q**4 + 1128*q**3 - 152*q**2 - 204*q + 36 = 0. What is q?
-1, 3/13
Determine z so that 4*z**4 - 20*z**3 + 8*z**2 + 32*z = 0.
-1, 0, 2, 4
Factor -5*l**4 + 5*l**3 + 85*l**2 + 75*l.
-5*l*(l - 5)*(l + 1)*(l + 3)
Determine i so that 8*i**5/5 - 12*i**4/5 - 32*i**3/5 - 12*i**2/5 = 0.
-1, -1/2, 0, 3
Factor -3*t**3 - 1386*t**2 - 213444*t - 10956792.
-3*(t + 154)**3
Factor -3*r**4/2 + 231*r**3/2 - 114*r**2.
-3*r**2*(r - 76)*(r - 1)/2
Solve -10*n**3/3 + 4964*n**2/3 - 617024*n/3 + 246016/3 = 0.
2/5, 248
Factor -2*a**3/11 + 4544*a**2/11 - 2580992*a/11.
-2*a*(a - 1136)**2/11
Solve 18*x**4/7 - 428*x**3/7 - 1014*x**2/7 + 51816*x/7 + 11560/7 = 0.
-10, -2/9, 17
Let -5*f**5 + 45*f**4 - 130*f**3 + 120*f**2 = 0. Calculate f.
0, 2, 3, 4
Factor 3*r**3/2 + 33*r**2/2 + 27*r.
3*r*(r + 2)*(r + 9)/2
Solve -16*x**5/3 - 116*x**4/3 - 188*x**3/3 - 40*x**2/3 = 0 for x.
-5, -2, -1/4, 0
Determine d, given that -4*d**3 - 96*d**2 - 660*d - 968 = 0.
-11, -2
Factor -2*a**4/3 + 8*a**3 + 30*a**2.
-2*a**2*(a - 15)*(a + 3)/3
Factor w**3 - 18*w**2 + 59*w - 42.
(w - 14)*(w - 3)*(w - 1)
Factor -w**4/2 - 13*w**3/2 + 3*w**2/2 + 37*w/2 - 13.
-(w - 1)**2*(w + 2)*(w + 13)/2
Factor -2*u**2/5 - 156*u/5 + 166.
-2*(u - 5)*(u + 83)/5
Let -2187*c**4/4 + 31347*c**3/2 - 149769*c**2 + 477042*c = 0. What is c?
0, 86/9
Factor -a**5/3 + 12*a**4 + 472*a**3/3 + 678*a**2 + 1251*a + 846.
-(a - 47)*(a + 2)*(a + 3)**3/3
Solve -2*i**5/7 + i**4/7 + 6*i**3/7 - i**2 + 2*i/7 = 0 for i.
-2, 0, 1/2, 1
Factor 14*n**3 - 3468*n**2 + 2466*n + 988.
2*(n - 247)*(n - 1)*(7*n + 2)
Find f, given that 3*f**2 - 45*f + 78 = 0.
2, 13
Factor 8*l**2 + 228*l + 424.
4*(l + 2)*(2*l + 53)
Determine s so that s**3/5 + 42*s**2/5 - 181*s/5 + 138/5 = 0.
-46, 1, 3
Suppose 2*w**5/9 - 2*w**4/3 - 158*w**3/9 - 206*w**2/3 - 100*w - 48 = 0. What is w?
-3, -2, -1, 12
What is z in -30*z**5 - 124*z**4 + 82*z**3 + 352*z**2 - 184*z - 96 = 0?
-4, -2, -1/3, 1, 6/5
Factor -2*i**4/5 + 2892*i**3/5 - 207930*i**2 - 841000*i.
-2*i*(i - 725)**2*(i + 4)/5
Factor 2*w**5/3 - 2*w**4/3 - 2*w**3/3 + 2*w**2/3.
2*w**2*(w - 1)**2*(w + 1)/3
Let 5*n**4/2 - 600*n**3 - 5*n**2/2 + 600*n = 0. What is n?
-1, 0, 1, 240
Factor -m**2 - 10*m - 24.
-(m + 4)*(m + 6)
Factor 2*t**5 + 18*t**4 + 18*t**3 - 98*t**2 + 60*t.
2*t*(t - 1)**2*(t + 5)*(t + 6)
Factor 4*n**2/3 - 28*n/3.
4*n*(n - 7)/3
Solve y**2/4 + 9*y + 32 = 0 for y.
-32, -4
Suppose -3*t**2 + 147*t + 468 = 0. Calculate t.
-3, 52
Factor 2*b**4 + 4*b**3 - 2*b**2 - 4*b.
2*b*(b - 1)*(b + 1)*(b + 2)
Factor -3*c**4 + 396*c**3 - 19002*c**2 + 391644*c - 2934363.
-3*(c - 43)**2*(c - 23)**2
Suppose -b**3 - 33*b**2 = 0. What is b?
-33, 0
Suppose 3*r**3/4 - 3*r**2 + 3*r/4 + 9/2 = 0. What is r?
-1, 2, 3
Factor -5*z**4 + 5*z**3 + 45*z**2 - 45*z.
-5*z*(z - 3)*(z - 1)*(z + 3)
Suppose -121*v**4/4 + 1903*v**3/8 - 1515*v**2/8 + 46*v - 7/2 = 0. Calculate v.
2/11, 1/2, 7
Factor 4*s**2/3 - 100/3.
4*(s - 5)*(s + 5)/3
Factor 2*u**4/7 - 8*u**3 + 480*u**2/7 - 800*u/7 - 4000/7.
2*(u - 10)**3*(u + 2)/7
Factor -j**3 + 9*j**2 + 49*j + 39.
-(j - 13)*(j 