*k = 0.
-214, -1, 0
Factor -75*q**3/4 + 11235*q**2 + 8997*q + 1800.
-3*(q - 600)*(5*q + 2)**2/4
Factor -16*v**2/5 - 198*v/5 + 364/5.
-2*(v + 14)*(8*v - 13)/5
Solve -5*k**5/4 - 3*k**4/4 + 7*k**3/4 + 3*k**2/4 - k/2 = 0.
-1, 0, 2/5, 1
Factor -4*a**3 + 1508*a**2 + 6080*a + 6096.
-4*(a - 381)*(a + 2)**2
Determine a, given that 6*a**2 - 27*a/2 + 15/2 = 0.
1, 5/4
Factor -5*y**2/3 + 1585*y/3 + 530.
-5*(y - 318)*(y + 1)/3
Solve l**5/7 + 53*l**4/7 + 673*l**3/7 - 837*l**2/7 - 1458*l/7 = 0 for l.
-27, -1, 0, 2
Factor -2*m**4 + 6*m**3 - 8*m.
-2*m*(m - 2)**2*(m + 1)
Let 3*u**4/4 - 27*u**3/4 - 99*u**2/4 - 105*u/4 - 9 = 0. Calculate u.
-1, 12
Suppose -b**5/2 - 31*b**4/6 - 121*b**3/6 - 217*b**2/6 - 28*b - 6 = 0. Calculate b.
-3, -2, -1/3
What is r in -4*r**5/7 - 300*r**4/7 - 5772*r**3/7 - 5476*r**2/7 = 0?
-37, -1, 0
Let -6*w**4/11 + 166*w**3/11 - 904*w**2/11 - 320*w/11 = 0. What is w?
-1/3, 0, 8, 20
Factor 4*f**3 + 508*f**2 - 1560*f.
4*f*(f - 3)*(f + 130)
Factor -8*y**3/3 - 598*y**2/3 + 50*y.
-2*y*(y + 75)*(4*y - 1)/3
Factor f**4/6 + f**3/3 - f/3 - 1/6.
(f - 1)*(f + 1)**3/6
Suppose -3*b**2 + 66*b - 171 = 0. What is b?
3, 19
Let 2560*o**5 - 299200*o**4 + 8572600*o**3 + 9897975*o**2 + 3743550*o + 469935 = 0. What is o?
-3/8, 59
Suppose 5*w**4 - 90*w**3 - 420*w**2 - 440*w = 0. Calculate w.
-2, 0, 22
Suppose 2*x**4/3 + 508*x**3/3 + 504*x**2 + 1508*x/3 + 502/3 = 0. What is x?
-251, -1
Suppose -3*w**4 + 33*w**3 - 30*w**2 = 0. Calculate w.
0, 1, 10
Factor 2*k**3/15 - 38*k**2/3 + 5104*k/15 - 27104/15.
2*(k - 44)**2*(k - 7)/15
Factor 2*n**3/5 - 34*n**2/5 + 88*n/5 - 56/5.
2*(n - 14)*(n - 2)*(n - 1)/5
Factor -3*n**4 - 9*n**3 + 15*n**2 + 9*n - 12.
-3*(n - 1)**2*(n + 1)*(n + 4)
Factor 4*u**2 - 2832*u - 5680.
4*(u - 710)*(u + 2)
Factor -1825346*d**3/11 + 1693620*d**2/11 - 523800*d/11 + 54000/11.
-2*(97*d - 30)**3/11
Suppose 2*b**2 - 20*b + 48 = 0. What is b?
4, 6
Suppose 2*y**3 + 92*y**2 - 190*y + 96 = 0. What is y?
-48, 1
Factor -s**3/4 - s**2 - 5*s/4 - 1/2.
-(s + 1)**2*(s + 2)/4
Find q, given that 5*q**5/7 - 352*q**4/7 + 2120*q**3/7 - 4672*q**2/7 + 4112*q/7 - 1024/7 = 0.
2/5, 2, 64
Factor -2*o**4/7 + 2*o**2/7.
-2*o**2*(o - 1)*(o + 1)/7
Factor 2*c**3/3 + 2*c**2/3 - 20*c/3 + 16/3.
2*(c - 2)*(c - 1)*(c + 4)/3
Factor 5*c**4 - 165*c**3 + 465*c**2 - 455*c + 150.
5*(c - 30)*(c - 1)**3
Suppose 3*i**2/8 - 33*i/8 + 45/4 = 0. Calculate i.
5, 6
Solve -5*p**4 + 155*p**3 - 825*p**2 - 2135*p - 1150 = 0 for p.
-1, 10, 23
Let -250*s**3/3 + 9499*s**2/3 - 90212*s/3 - 361/3 = 0. What is s?
-1/250, 19
Find f, given that -4*f**3 - 72*f**2 + 1920*f - 8704 = 0.
-34, 8
Factor 2*l**3 + 14*l**2 - 34*l + 18.
2*(l - 1)**2*(l + 9)
Solve 3*t**3 - 66*t**2 - 153*t + 216 = 0.
-3, 1, 24
Factor -2*d**2/5 - 166*d/5 + 168/5.
-2*(d - 1)*(d + 84)/5
Factor -z**4/2 - 2*z**3 - 3*z**2/2.
-z**2*(z + 1)*(z + 3)/2
Factor 2*b**2 + 1112*b + 154568.
2*(b + 278)**2
Suppose 2*v**3/9 + 20*v**2/9 + 32*v/9 = 0. Calculate v.
-8, -2, 0
Factor k**4 + 41*k**3 + 249*k**2 + 379*k + 170.
(k + 1)**2*(k + 5)*(k + 34)
Factor -2*u**3/5 - 4*u**2/5 + 38*u/5 + 8.
-2*(u - 4)*(u + 1)*(u + 5)/5
Determine l, given that 2052*l**3/11 - 1350*l**2/11 - 696*l/11 - 6/11 = 0.
-1/3, -1/114, 1
Factor -3*y**3/4 - 39*y**2/4 - 39*y - 45.
-3*(y + 2)*(y + 5)*(y + 6)/4
What is p in -3*p**3/7 + 300*p**2/7 + 303*p/7 = 0?
-1, 0, 101
Find q, given that -4*q**4 + 2137*q**3 - 287814*q**2 + 637868*q - 141512 = 0.
1/4, 2, 266
Let -2*q**2/9 + 330*q - 5932/9 = 0. What is q?
2, 1483
Factor -2*b**3 + 52*b**2 + 174*b.
-2*b*(b - 29)*(b + 3)
What is c in -16*c**4 + 432*c**3 + 908*c**2 + 576*c + 116 = 0?
-1, -1/2, 29
Determine n so that 9*n**3 - 39*n**2 + 24*n + 36 = 0.
-2/3, 2, 3
Suppose -t**2/4 + 159*t/2 - 25281/4 = 0. What is t?
159
Find m such that -2*m**4/7 - 384*m**3/7 + 2*m**2/7 + 384*m/7 = 0.
-192, -1, 0, 1
Solve 4*i**3/7 - 8*i**2/7 - 12*i/7 = 0.
-1, 0, 3
Factor 3*g**5/5 + 12*g**4/5 - 48*g**2/5 - 48*g/5.
3*g*(g - 2)*(g + 2)**3/5
Find a, given that 308*a**3 + 1548*a**2 + 1272*a + 32 = 0.
-4, -1, -2/77
Determine w, given that w**2/2 + 234*w + 27378 = 0.
-234
Factor m**4/6 + m**3/6.
m**3*(m + 1)/6
Determine x, given that -10*x**5 - 35*x**4 - 45*x**3 - 25*x**2 - 5*x = 0.
-1, -1/2, 0
What is y in 5*y**5 - 15*y**4 - 5*y**3 + 15*y**2 = 0?
-1, 0, 1, 3
Determine g, given that 2*g**3 - 60*g**2 - 2304*g - 15552 = 0.
-12, 54
Solve 5*l**5/8 + 27*l**4/8 + 25*l**3/8 - 19*l**2/8 - 15*l/4 - 1 = 0.
-4, -1, -2/5, 1
Solve -g**2/5 - 9*g/5 - 4 = 0 for g.
-5, -4
Determine i, given that -4*i**4 + 4*i**3 + 4*i**2 - 4*i = 0.
-1, 0, 1
Factor -21*r**4 + 171*r**3 - 6*r**2 - 144*r.
-3*r*(r - 8)*(r - 1)*(7*r + 6)
What is l in -14*l**3 + 1348*l**2 - 384*l = 0?
0, 2/7, 96
Factor 11*u**2/12 + u/6.
u*(11*u + 2)/12
Factor f**5 - 3*f**4 - 4*f**3 + 16*f**2 - 16.
(f - 2)**3*(f + 1)*(f + 2)
Suppose 4*q**2/7 + 53568*q/7 + 179345664/7 = 0. What is q?
-6696
Determine u, given that -4*u**3 + 344*u**2 - 6916*u + 40560 = 0.
13, 60
Factor 2*x**2/5 + 6*x - 32/5.
2*(x - 1)*(x + 16)/5
Let -3*t**3 - 1995*t**2 + 6024*t + 8016 = 0. What is t?
-668, -1, 4
Factor -n**4 + 6*n**3 + 3*n**2 - 16*n - 12.
-(n - 6)*(n - 2)*(n + 1)**2
Solve 2*u**3/9 + 10*u**2 + 322*u/3 - 1058/9 = 0.
-23, 1
Factor k**5/2 - 3*k**4/2 - 31*k**3/2 - 65*k**2/2 - 27*k - 8.
(k - 8)*(k + 1)**3*(k + 2)/2
Factor 32*k**3 - 124*k**2 + 112*k + 16.
4*(k - 2)**2*(8*k + 1)
Find t such that -t**4/8 + 31*t**3/8 - 75*t**2/4 - 4*t + 100 = 0.
-2, 4, 25
Determine r, given that 4*r**5/5 - 152*r**3/5 - 288*r**2/5 - 28*r = 0.
-5, -1, 0, 7
Factor 2715*y**2 - 5440*y + 20.
5*(y - 2)*(543*y - 2)
Factor 4*u**5 - 172*u**3 - 600*u**2 - 576*u.
4*u*(u - 8)*(u + 2)*(u + 3)**2
Factor -2*n**2/5 + 46*n/5 + 48/5.
-2*(n - 24)*(n + 1)/5
Solve -4*b**5 - 48*b**4 + 56*b**3 + 48*b**2 - 52*b = 0.
-13, -1, 0, 1
Let -3*q**2 + 24*q + 27 = 0. What is q?
-1, 9
Factor -2*j**2 - 58*j - 416.
-2*(j + 13)*(j + 16)
Factor -g**2/4 + 39*g/2 + 40.
-(g - 80)*(g + 2)/4
Factor 21*q**4 + 2*q**3 - 63*q**2 - 48*q - 4.
(q - 2)*(q + 1)**2*(21*q + 2)
Suppose -4*h**2 - 56*h - 196 = 0. Calculate h.
-7
Solve 2*v**3/11 + 26*v**2/11 + 96*v/11 + 72/11 = 0.
-6, -1
Factor x**2/3 - 1756*x/3 + 585.
(x - 1755)*(x - 1)/3
Determine p, given that 3*p**3 - 171*p**2 + 3249*p - 20577 = 0.
19
Factor -6*f**3 + 9*f**2 + 105*f.
-3*f*(f - 5)*(2*f + 7)
Factor 2*l**2 - 144*l + 414.
2*(l - 69)*(l - 3)
Determine n so that -n**2/6 - 259*n/3 - 67081/6 = 0.
-259
Solve -6*q**5 + 19*q**4 - 3*q**3 - 24*q**2 + 4*q = 0.
-1, 0, 1/6, 2
Factor b**4/6 + 4*b**3/3 + 13*b**2/6 - 5*b - 12.
(b - 2)*(b + 3)**2*(b + 4)/6
Factor 3*x**2 + 24*x - 195.
3*(x - 5)*(x + 13)
Factor -m**2/10 + 9*m/2 + 212/5.
-(m - 53)*(m + 8)/10
Factor 5*i**2 + 5370*i + 1441845.
5*(i + 537)**2
Let 2*m**3/13 + 196*m**2/13 + 938*m/13 + 744/13 = 0. What is m?
-93, -4, -1
Suppose t**3 + 139*t**2 + 4899*t + 4761 = 0. What is t?
-69, -1
Suppose 3*w**3/4 + 3225*w**2/2 - 12909*w/4 + 1614 = 0. What is w?
-2152, 1
Find a, given that -a**2/2 + 31*a/2 + 16 = 0.
-1, 32
Solve 242*i**2/19 + 218*i/19 - 24/19 = 0.
-1, 12/121
Factor -x**3/4 - 27*x**2/4 + 525*x/4 - 2009/4.
-(x - 7)**2*(x + 41)/4
Factor -2*p**2/21 - 5840*p/21 - 278.
-2*(p + 1)*(p + 2919)/21
What is n in -4*n**3 - 2592*n**2 - 559872*n - 40310784 = 0?
-216
Solve 18*t**3/5 + 6*t**2/5 - 26*t - 30 = 0.
-5/3, 3
What is q in -3*q**3 + 56*q**2 - 263*q + 210 = 0?
1, 6, 35/3
Factor i**4/8 + 13*i**3/8 - i**2/2 - 13*i/2.
i*(i - 2)*(i + 2)*(i + 13)/8
Solve 4*y**2 + 640*y + 1264 = 0 for y.
-158, -2
Solve -2*p**4 + 944*p**3 - 109488*p**2 - 449344*p - 453152 = 0 for p.
-2, 238
Determine h, given that 12*h**5 + 16*h**4 - 304*h**3 - 408*h**2 + 100*h + 200 = 0.
-5, -1, 2/3, 5
Solve 2*m**2/23 + 264*m/23 + 1270/23 = 0 for m.
-127, -5
Factor -3*v**3 + 84*v**2 + 3*v - 84.
-3*(v - 28)*(v - 1)*(v + 1)
Determine r so that 15*r**4 - 99*r**3 + 69*r**2 + 99*r - 84 = 0.
-1, 1, 28/5
Suppose 27*m**3 - 22716*m**2 - 15153*m - 2526 = 0. What is m?
-1/3, 842
Solve 2*c**2 - 4864*c + 2957312 = 0.
1216
Factor -j**5 - 3*j**4 + 4*j**3 + 16*j**2 - 16.
-(j - 2)*(j - 1)*(j + 2)**3
Let 21*u**3 + 6*u**2 - 336*u - 96 = 0. Calculate u.
-4, -2/7, 4
Factor -3*q**5/2 + 9*q**4 - 27*q**3/2.
-3*q**3*(q - 3)**2/2
Find d, given that -5*d**4/2 + 25*d**3/2 - 25*d**2/2 - 25*d/2 + 15 = 0.
-1, 1, 2, 3
Solve 4*l**3 + 52*l**2 - 184*l + 128 = 0 for l.
-16, 1, 2
Determine z, given that 60*z**4 