*u/5 + 236/5 = 0?
-59, -2, -1
Factor -5*i**4 - 105*i**3 + 610*i**2 - 1020*i + 520.
-5*(i - 2)**2*(i - 1)*(i + 26)
Suppose u**2/4 - 135*u/2 + 269/4 = 0. Calculate u.
1, 269
Let -3*q**3 - 27*q**2 - 78*q - 72 = 0. What is q?
-4, -3, -2
Factor 16*t**4 + 60*t**3 - 96*t**2 + 20*t.
4*t*(t - 1)*(t + 5)*(4*t - 1)
Determine j, given that j**5 + 17*j**4 - 431*j**3 + 1511*j**2 - 1802*j + 704 = 0.
-32, 1, 2, 11
Factor -3*z**4/4 + 168*z**3 + 1353*z**2/4 + 339*z/2.
-3*z*(z - 226)*(z + 1)**2/4
Factor y**2/6 + 81*y + 19683/2.
(y + 243)**2/6
Factor 5*a**3 + 840*a**2 + 47040*a + 878080.
5*(a + 56)**3
Find w such that -2*w**3 + 5828*w**2 - 4251520*w + 8479744 = 0.
2, 1456
Factor 5*p**2 + 30*p - 80.
5*(p - 2)*(p + 8)
Determine z, given that -8*z**5/5 - 8*z**4/5 + 2*z**3/5 + 2*z**2/5 = 0.
-1, -1/2, 0, 1/2
Factor s**3 + 14*s**2 - 31*s + 16.
(s - 1)**2*(s + 16)
Factor l**4 + 7*l**3 - 40*l**2 + 44*l.
l*(l - 2)**2*(l + 11)
Factor 5*w**3 + 1470*w**2 + 100320*w - 1155200.
5*(w - 10)*(w + 152)**2
Determine d, given that -d**2/6 - 56*d + 337/6 = 0.
-337, 1
Factor 13*b**2/3 + 4162*b/3 + 640/3.
(b + 320)*(13*b + 2)/3
Find j, given that -4*j**5 - 12*j**4 + 100*j**3 + 60*j**2 - 576*j + 432 = 0.
-6, -3, 1, 2, 3
Factor -m**5/3 + 208*m**4/3 - 3464*m**3 - 44096*m**2/3 - 44944*m/3.
-m*(m - 106)**2*(m + 2)**2/3
Find y, given that -3*y**4/8 - 339*y**3/2 - 77289*y**2/4 - 76275*y/2 - 151875/8 = 0.
-225, -1
Determine o so that 4*o**3/5 + 704*o**2/5 + 20468*o/5 + 164152/5 = 0.
-142, -17
Factor -4*l**2/3 + 952*l/3 - 56644/3.
-4*(l - 119)**2/3
Factor 2*s**4 - 1284*s**3 + 1272*s**2 + 6404*s + 3846.
2*(s - 641)*(s - 3)*(s + 1)**2
Suppose -2*d**4 + 54*d**3 + 320*d**2 = 0. Calculate d.
-5, 0, 32
Let -i**2/3 + 49*i = 0. Calculate i.
0, 147
Find b such that -2*b**3 + 8*b**2 - 10*b + 4 = 0.
1, 2
Factor -j**4 - 26*j**3 + 28*j**2 + 26*j - 27.
-(j - 1)**2*(j + 1)*(j + 27)
Factor -2*f**3/9 + 2*f**2.
-2*f**2*(f - 9)/9
Factor -s**2 - 30*s - 29.
-(s + 1)*(s + 29)
Solve 2*z**5/5 - 32*z**4/5 - 192*z**3/5 - 364*z**2/5 - 58*z - 84/5 = 0.
-2, -1, 21
Factor 4*a**2 - 63328*a + 250652224.
4*(a - 7916)**2
Suppose -24*v**3 + 12596*v**2 + 14724*v + 2104 = 0. What is v?
-1, -1/6, 526
Factor -d**2/5 - 598*d/5 + 599/5.
-(d - 1)*(d + 599)/5
Factor 4*p**3/5 + 128*p**2/5 + 308*p/5 - 232.
4*(p - 2)*(p + 5)*(p + 29)/5
Factor o**2/6 - 2237*o/6 + 1118/3.
(o - 2236)*(o - 1)/6
What is g in 5*g**3 + 1860*g**2 + 5545*g + 3690 = 0?
-369, -2, -1
Find h, given that -h**5/4 - 5*h**4/2 - 13*h**3/4 + 15*h**2 - 9*h = 0.
-6, 0, 1
Determine v, given that -3*v**4 + 57*v**3 - 210*v**2 = 0.
0, 5, 14
Factor 2*d**3/7 - 254*d**2/7 - 514*d/7 - 258/7.
2*(d - 129)*(d + 1)**2/7
Factor 2*a**3/9 - 28*a**2/9 + 50*a/9 - 8/3.
2*(a - 12)*(a - 1)**2/9
Suppose -21*v**5 - 531*v**4 - 1998*v**3 - 2292*v**2 - 504*v = 0. Calculate v.
-21, -2, -2/7, 0
Factor -u**2/2 + 10*u + 21/2.
-(u - 21)*(u + 1)/2
Factor -2*z**3 + 14*z**2 + 562*z + 546.
-2*(z - 21)*(z + 1)*(z + 13)
Factor -6*y**4 + 25*y**3 - 32*y**2 + 13*y.
-y*(y - 1)**2*(6*y - 13)
Factor -a**3 - 8*a**2 + 48*a.
-a*(a - 4)*(a + 12)
Factor 5*k**3 + 265*k**2 - 5*k - 265.
5*(k - 1)*(k + 1)*(k + 53)
Find q, given that -q**5/2 + 5*q**4 + 31*q**3/2 - 38*q**2 - 54*q + 72 = 0.
-3, -2, 1, 2, 12
Solve 2*b**4/7 + 8*b**3/7 + 2*b**2/7 - 12*b/7 = 0.
-3, -2, 0, 1
Solve u**5 - 3*u**4 - 10*u**3 + 20*u**2 + 24*u - 32 = 0.
-2, 1, 2, 4
Suppose k**4 + 4*k**3 + 3*k**2 = 0. Calculate k.
-3, -1, 0
Factor 2*n**2/9 + 20*n/9.
2*n*(n + 10)/9
Determine d, given that 156*d**5 + 180*d**4 + 63*d**3 + 6*d**2 = 0.
-1/2, -2/13, 0
Solve -20*k**5 - 8*k**4 + 60*k**3 + 64*k**2 + 16*k = 0.
-1, -2/5, 0, 2
Factor 2*s**3 - 78*s**2 - 720*s - 1504.
2*(s - 47)*(s + 4)**2
Factor -2*o**2/7 - 352*o/7 + 1074/7.
-2*(o - 3)*(o + 179)/7
Factor 3*i**5/7 - 9*i**4/7.
3*i**4*(i - 3)/7
Factor 21*z**3/4 - 33*z**2/4 - 27*z/2.
3*z*(z + 1)*(7*z - 18)/4
Factor -2*r**4 - 2*r**3 + 32*r**2 - 40*r.
-2*r*(r - 2)**2*(r + 5)
Suppose 5*y**5 + 30*y**4 - 35*y**3 = 0. Calculate y.
-7, 0, 1
Find j, given that -2*j**3/5 + 100*j**2/3 - 3416*j/5 - 2352/5 = 0.
-2/3, 42
What is q in 3*q**3/2 + 27*q**2 + 45*q/2 - 51 = 0?
-17, -2, 1
Factor -3*w**3/5 - 102*w**2/5 - 807*w/5 + 912/5.
-3*(w - 1)*(w + 16)*(w + 19)/5
Suppose 6*b**2/11 - 400*b/11 + 24 = 0. What is b?
2/3, 66
Find x such that -5*x**4 - 25*x**3 + 50*x**2 + 100*x - 120 = 0.
-6, -2, 1, 2
Solve 10*u**4/3 - 7*u**3/3 - 4*u**2/3 + u/3 = 0 for u.
-1/2, 0, 1/5, 1
Factor l**3/2 - 3*l/2 - 1.
(l - 2)*(l + 1)**2/2
Factor -t**4 + 77*t**3 + 4*t**2 - 308*t.
-t*(t - 77)*(t - 2)*(t + 2)
Suppose 3*z**4/4 - 57*z**3/4 - 123*z**2/4 - 63*z/4 = 0. What is z?
-1, 0, 21
Suppose -2*g**3/21 - 30*g**2/7 - 162*g/7 + 4374/7 = 0. Calculate g.
-27, 9
Factor -c**2/4 + 22*c + 92.
-(c - 92)*(c + 4)/4
Find v, given that -6*v**5 + 39*v**4/2 + 21*v**3 - 285*v**2/2 + 174*v - 66 = 0.
-11/4, 1, 2
Factor 2*p**3/3 - 112*p**2/3 + 558*p - 972.
2*(p - 27)**2*(p - 2)/3
Factor 2*x**4 - 12*x**3 - 14*x**2.
2*x**2*(x - 7)*(x + 1)
Factor 30*r**3/11 - 56*r**2/11 - 8*r/11.
2*r*(r - 2)*(15*r + 2)/11
Factor 15*y**3 - 275*y**2 - 510*y + 200.
5*(y - 20)*(y + 2)*(3*y - 1)
What is v in -5*v**2 + 650*v - 21125 = 0?
65
Suppose 4*t**4 - 852*t**3 - 4360*t**2 = 0. What is t?
-5, 0, 218
Factor 28*d**3 - 1784*d**2 + 28160*d + 8192.
4*(d - 32)**2*(7*d + 2)
Let -i**2/3 - 2*i/3 + 1 = 0. What is i?
-3, 1
What is m in 45*m**4 - 231*m**3 + 390*m**2 - 228*m + 24 = 0?
2/15, 1, 2
Factor -3*s**5/2 - 21*s**4 - 69*s**3 - 96*s**2 - 123*s/2 - 15.
-3*(s + 1)**4*(s + 10)/2
Factor -81*l**4 - 480*l**3 - 693*l**2 + 54*l.
-3*l*(l + 3)**2*(27*l - 2)
Factor -y**2 - 505*y - 1006.
-(y + 2)*(y + 503)
What is g in 15*g**3 - 605*g**2 - 410*g = 0?
-2/3, 0, 41
Determine h, given that -3*h**2 + 18*h + 165 = 0.
-5, 11
Let s**3/6 - 2*s**2/3 - 26*s/3 - 40/3 = 0. What is s?
-4, -2, 10
Let -2*f**3/7 - 2346*f**2/7 - 917286*f/7 - 119552942/7 = 0. What is f?
-391
Factor 25*u**2 + 4965*u - 1990.
5*(u + 199)*(5*u - 2)
Find p such that 22*p**5 - 150*p**4 + 302*p**3 - 138*p**2 - 36*p = 0.
-2/11, 0, 1, 3
Factor z**2/3 + z + 2/3.
(z + 1)*(z + 2)/3
Let -4*z**3/3 + 92*z**2/3 - 64*z/3 - 176 = 0. Calculate z.
-2, 3, 22
Factor 2*f**3 - 6*f**2 + 4*f.
2*f*(f - 2)*(f - 1)
Factor 2*k**3 + 130*k**2 - 2*k - 130.
2*(k - 1)*(k + 1)*(k + 65)
Let -2*z**2/13 + 212*z/13 + 214/13 = 0. What is z?
-1, 107
Find r, given that r**3/3 + 29*r**2/3 - 10*r = 0.
-30, 0, 1
Determine a, given that -22*a**4 - 43*a**3 + 24*a**2 + 43*a - 2 = 0.
-2, -1, 1/22, 1
Factor -5*i**3 + 2630*i**2.
-5*i**2*(i - 526)
Factor -3*u**4 + 6*u**3 - 6*u + 3.
-3*(u - 1)**3*(u + 1)
Determine q, given that 4*q**3/3 + 652*q**2/3 + 32092*q/3 + 141148 = 0.
-71, -21
Factor b**3/5 - 24*b**2 + 351*b/5.
b*(b - 117)*(b - 3)/5
Solve -3*b**2 - 84*b - 156 = 0.
-26, -2
Determine a, given that -a**5/2 - 3*a**4 + 17*a**3/2 + 3*a**2 - 8*a = 0.
-8, -1, 0, 1, 2
Factor j**2 - 25*j + 24.
(j - 24)*(j - 1)
Factor c**2/2 + 2677*c + 7166329/2.
(c + 2677)**2/2
Factor 3*l**5 + 12*l**4 + 9*l**3 - 12*l**2 - 12*l.
3*l*(l - 1)*(l + 1)*(l + 2)**2
Determine v so that -2*v**4/7 + 16*v**3/7 + 258*v**2/7 + 776*v/7 + 680/7 = 0.
-5, -2, 17
Factor -c**3/4 + 129*c**2/2.
-c**2*(c - 258)/4
Suppose -4*s**2 - 172*s - 328 = 0. Calculate s.
-41, -2
Let 11*k**5/2 + 10*k**4 - 24*k**3 - 40*k**2 + 8*k = 0. What is k?
-2, 0, 2/11, 2
Factor -4*v**2 + 412*v - 408.
-4*(v - 102)*(v - 1)
Factor 4585*n**3 - 1415*n**2 + 30*n.
5*n*(7*n - 2)*(131*n - 3)
Factor -3*u**5/7 - 6*u**4/7 + 9*u**3/7.
-3*u**3*(u - 1)*(u + 3)/7
Factor -2*g**2 - 2336*g - 682112.
-2*(g + 584)**2
Let d**4/2 + 13*d**3 - 14*d**2 - 13*d + 27/2 = 0. Calculate d.
-27, -1, 1
Factor x**3/4 - 3*x**2/2 + 11*x/4 - 3/2.
(x - 3)*(x - 2)*(x - 1)/4
Find b such that -5*b**2/6 + 95*b/6 + 310 = 0.
-12, 31
Determine n, given that 6*n**3 - 117*n**2 - 60*n = 0.
-1/2, 0, 20
Factor 4*d**2 - 268*d - 272.
4*(d - 68)*(d + 1)
Let 2*u**4/9 + 4*u**3/9 - 22*u**2/9 - 8*u/3 + 8 = 0. What is u?
-3, 2
Solve -5*f**3 - 540*f**2 - 15105*f - 28090 = 0 for f.
-53, -2
Factor 15*o**3 - 63*o**2 - 168*o + 36.
3*(o - 6)*(o + 2)*(5*o - 1)
What is c in 5*c**3 + 335*c**2 + 5775*c + 5445 = 0?
-33, -1
Find d, given that d**4 + 2*d**3 - 12*d**2 - 18*d + 27 = 0.
-3, 1, 3
Factor 16*p**2/3 - 68*p/3 + 16/3.
4*(p - 4)*(4*p - 1)/3
Find f, given that -6*f**4/13 + 20*f**3/13 + 46*f**2/13 + 20*f/13 = 0.
-1, -2/3, 0, 5
Factor -7*x**