r - 1)*(r + 3)**2
Factor 2*b**4/9 + 374*b**3/9 + 4624*b**2/3 - 39304*b.
2*b*(b - 17)*(b + 102)**2/9
Factor 3*b**4/2 + 24*b**3 + 117*b**2 + 168*b + 147/2.
3*(b + 1)**2*(b + 7)**2/2
Factor -2*o**3/9 + 74*o**2/9 - 142*o/9 + 70/9.
-2*(o - 35)*(o - 1)**2/9
Factor 2*d**2/7 - 16*d/7 + 2.
2*(d - 7)*(d - 1)/7
Factor -j**3 - 172*j**2 + 351*j + 522.
-(j - 3)*(j + 1)*(j + 174)
Factor -y**2/10 + 5*y + 51/10.
-(y - 51)*(y + 1)/10
Determine u, given that 3*u**3 + 12*u**2 - 660*u - 4800 = 0.
-10, 16
What is h in -8*h**4 - 2*h**3 + 56*h**2 - 34*h - 12 = 0?
-3, -1/4, 1, 2
Solve 3*w**5/2 + 9*w**4/2 + 3*w**3/2 - 9*w**2/2 - 3*w = 0.
-2, -1, 0, 1
Solve -w**3/4 - 5*w**2 - 16*w = 0 for w.
-16, -4, 0
Let 27*k**3/4 - 14301*k**2/2 + 9525*k - 3174 = 0. What is k?
2/3, 1058
Factor -3*x**2/4 - 297*x/4.
-3*x*(x + 99)/4
Solve 15*m**3 - 1083*m**2 - 4368*m/5 - 876/5 = 0 for m.
-2/5, 73
Factor z**5 + 5*z**4 - z**3 - 5*z**2.
z**2*(z - 1)*(z + 1)*(z + 5)
Factor -r**2 + 82*r - 1681.
-(r - 41)**2
What is g in 250*g**5 + 1300*g**4 - 13680*g**3 - 17504*g**2 - 7136*g - 960 = 0?
-10, -2/5, 6
Factor 5*m**2 - 32470*m + 52715045.
5*(m - 3247)**2
Factor -3*h**2 - 45*h - 78.
-3*(h + 2)*(h + 13)
Let -6*h**3 - 136*h**2 - 328*h - 160 = 0. What is h?
-20, -2, -2/3
Determine h so that h**2/8 + 59*h/2 + 235/8 = 0.
-235, -1
What is m in 3*m**5 + 69*m**4 + 333*m**3 - 1053*m**2 - 3240*m + 3888 = 0?
-12, -3, 1, 3
Suppose 2*o**3/3 + 72*o**2 + 1378*o/3 - 1212 = 0. Calculate o.
-101, -9, 2
Factor -2*x**2/15 - 236*x/15 - 6962/15.
-2*(x + 59)**2/15
Let 4*i**2/7 - 208*i/7 + 2704/7 = 0. What is i?
26
Factor -5*c**3 + 1750*c**2 - 3485*c + 1740.
-5*(c - 348)*(c - 1)**2
Let 4*t**2 - 2080*t + 270400 = 0. What is t?
260
Find y such that -y**2 + 37*y + 528 = 0.
-11, 48
Find n such that -4*n**4/7 - 64*n**3/7 + 56*n**2 - 576*n/7 + 36 = 0.
-21, 1, 3
Determine c so that -5*c**4 - 45*c**3 - 85*c**2 + 165*c + 450 = 0.
-5, -3, 2
Factor 5*r**4 + 25*r**3.
5*r**3*(r + 5)
What is m in -18*m**5 - 4*m**4 + 36*m**3 + 8*m**2 - 18*m - 4 = 0?
-1, -2/9, 1
Factor 2*d**4/7 + 6472*d**3/7 + 7853772*d**2/7 + 4235801032*d/7 + 856690758722/7.
2*(d + 809)**4/7
Suppose -117*s**4 - 75*s**3/2 - 3*s**2 = 0. What is s?
-1/6, -2/13, 0
Factor 5*g**3 - 375*g**2 + 3960*g + 4340.
5*(g - 62)*(g - 14)*(g + 1)
Determine m, given that -4*m**3 - 25254*m**2 - 39853968*m + 19933298 = 0.
-3157, 1/2
Solve -5*p**3 - 2190*p**2 - 319740*p - 15560680 = 0.
-146
Factor u**4 - 152*u**3/3 + 1975*u**2/3 - 1250*u/3.
u*(u - 25)**2*(3*u - 2)/3
Factor f**4/8 - 321*f**3/8 - 1623*f**2/8 - 2279*f/8 - 489/4.
(f - 326)*(f + 1)**2*(f + 3)/8
Find d, given that 6*d**4/13 - 76*d**3/13 + 302*d**2/13 - 488*d/13 + 280/13 = 0.
5/3, 2, 7
Factor 4*m**2/11 - 18*m/11 + 18/11.
2*(m - 3)*(2*m - 3)/11
Let 4*r**4 - 178*r**3/11 + 228*r**2/11 - 98*r/11 + 4/11 = 0. What is r?
1/22, 1, 2
Find y, given that y**4 + 12228*y**3 + 56071494*y**2 + 114273704772*y + 87333678872001 = 0.
-3057
Find r, given that -2*r**2/19 + 2956*r/19 - 2954/19 = 0.
1, 1477
Solve -b**2 + 4*b = 0 for b.
0, 4
Factor -3*f**2 + 228*f - 4332.
-3*(f - 38)**2
Factor 2*x**3/3 - 16*x**2/3 - 1024*x/3 + 4096.
2*(x - 16)**2*(x + 24)/3
Factor 2*d**3/9 + 4*d**2/3 - 10*d/3 + 16/9.
2*(d - 1)**2*(d + 8)/9
What is d in -3*d**3 + 452*d**2/3 - 5725*d/3 + 1250/3 = 0?
2/9, 25
Factor 2*w**5/5 - 2*w**4/5 - 2*w**3 - 6*w**2/5.
2*w**2*(w - 3)*(w + 1)**2/5
Let 5*z**3 - 20*z**2 + 25*z - 10 = 0. What is z?
1, 2
Find a such that 2*a**5/9 - 16*a**4/9 + 50*a**3/9 - 76*a**2/9 + 56*a/9 - 16/9 = 0.
1, 2
Solve -2*o**2 - 92*o - 546 = 0.
-39, -7
Factor -2*d**5/5 - 14*d**4/5 + 34*d**3/5 - 18*d**2/5.
-2*d**2*(d - 1)**2*(d + 9)/5
Factor w**3 + 47*w**2 + 91*w + 45.
(w + 1)**2*(w + 45)
Factor 2*p**3 + 62*p**2 - 272*p + 280.
2*(p - 2)**2*(p + 35)
Factor -i**2/2 + 41*i - 80.
-(i - 80)*(i - 2)/2
Let -3*q**3 - 9*q**2 + 30*q = 0. What is q?
-5, 0, 2
Factor g**2/5 - 31*g/5 - 102/5.
(g - 34)*(g + 3)/5
Find y such that -990*y**3 - 1165*y**2 - 165*y + 10 = 0.
-1, -2/9, 1/22
What is z in -2*z**2/3 - 208*z/3 + 214 = 0?
-107, 3
Factor 115*x**2 - 114*x - 1.
(x - 1)*(115*x + 1)
What is s in -s**2/4 - 8*s + 33/4 = 0?
-33, 1
Suppose 4*l**2 + 1064*l + 1060 = 0. What is l?
-265, -1
Factor 4*w**2/5 - 368*w - 3696/5.
4*(w - 462)*(w + 2)/5
Let 4*k**5 - 36*k**4 + 72*k**3 + 88*k**2 - 204*k - 180 = 0. What is k?
-1, 3, 5
Factor 3*b**4 + 15*b**3 - 6*b**2 - 72*b.
3*b*(b - 2)*(b + 3)*(b + 4)
Determine u, given that 4*u**2 - 72*u - 352 = 0.
-4, 22
Solve 5*b**5 - 200*b**4 + 1985*b**3 + 610*b**2 - 6400*b + 4000 = 0 for b.
-2, 1, 20
Solve -2*b**3/11 - 62*b**2/11 - 300*b/11 = 0.
-25, -6, 0
Factor -2*z**3/11 - 5238*z**2/11 - 312018*z - 311542.
-2*(z + 1)*(z + 1309)**2/11
Factor -3*b**5 - 6*b**4 + 27*b**3 + 66*b**2 - 12*b - 72.
-3*(b - 3)*(b - 1)*(b + 2)**3
Factor 3*s**4 + 171*s**3 + 2520*s**2 + 2352*s.
3*s*(s + 1)*(s + 28)**2
Let -v**2/3 - 17*v/3 - 22 = 0. What is v?
-11, -6
Suppose 4*p**3/13 - 10*p**2/13 - 22*p/13 - 8/13 = 0. Calculate p.
-1, -1/2, 4
Solve -45*x**5/4 + 87*x**4/4 + 141*x**3/4 - 171*x**2/4 - 48*x - 3 = 0 for x.
-1, -1/15, 2
Solve 39*m**3/7 + 33*m**2/7 - 6*m/7 = 0 for m.
-1, 0, 2/13
Factor -5*z**3 + 15*z**2 - 15*z + 5.
-5*(z - 1)**3
Let -5*b**5 + 140*b**4 - 1460*b**3 + 6880*b**2 - 14080*b + 10240 = 0. Calculate b.
2, 8
Factor 22*y**3/7 - 16*y**2 + 184*y/7 - 96/7.
2*(y - 2)**2*(11*y - 12)/7
Suppose 4*g**3/5 - 63*g**2/5 - 32*g - 36/5 = 0. What is g?
-2, -1/4, 18
Factor 5*o**4/2 - 15*o**3 + 25*o**2/2 + 30*o.
5*o*(o - 4)*(o - 3)*(o + 1)/2
Let b**2/10 + 45*b - 455/2 = 0. Calculate b.
-455, 5
Find a such that -4*a**4/3 - 100*a**3 + 308*a**2/3 + 100*a - 304/3 = 0.
-76, -1, 1
Solve -10*g**5/3 + 196*g**4/3 - 5852*g**3/15 + 2008*g**2/3 + 950*g/3 + 100/3 = 0 for g.
-1/5, 5, 10
Let -15*k**3 - 132*k**2 - 288*k = 0. What is k?
-24/5, -4, 0
Factor 2*x**3/5 - 28*x**2/5.
2*x**2*(x - 14)/5
Factor 4*i**2 - 60*i - 1296.
4*(i - 27)*(i + 12)
Factor 5*h**3 + 350*h**2 - 5*h - 350.
5*(h - 1)*(h + 1)*(h + 70)
Factor 2*g**2 + 276*g - 846.
2*(g - 3)*(g + 141)
Factor 4*v**3/7 + 6*v**2/7.
2*v**2*(2*v + 3)/7
What is n in 39366*n**4 - 324*n**3 + 2*n**2/3 = 0?
0, 1/243
Factor -3*a**3 - 99*a**2 + 936*a - 1968.
-3*(a - 4)**2*(a + 41)
Factor a**3 + 426*a**2 + 1692*a + 1688.
(a + 2)**2*(a + 422)
Factor 2*a**3/7 + 62*a**2/7 - 426*a/7 + 666/7.
2*(a - 3)**2*(a + 37)/7
Factor -5*j**4 - 15*j**3 - 5*j**2 + 15*j + 10.
-5*(j - 1)*(j + 1)**2*(j + 2)
Factor 3*u**3 - 423*u**2 - 3*u + 423.
3*(u - 141)*(u - 1)*(u + 1)
Factor 5*d**3 - 155*d**2 + 1120*d + 1280.
5*(d - 16)**2*(d + 1)
Factor h**4 - 246*h**3 + 239*h**2 + 1470*h.
h*(h - 245)*(h - 3)*(h + 2)
Factor s**3/4 + 9*s**2/4 + 3*s/2 - 4.
(s - 1)*(s + 2)*(s + 8)/4
Factor i**5 + 9*i**4 + 24*i**3 + 16*i**2.
i**2*(i + 1)*(i + 4)**2
Factor -k**2/2 + 62*k - 1922.
-(k - 62)**2/2
Factor 3*w**5 + 21*w**4 + 30*w**3.
3*w**3*(w + 2)*(w + 5)
Suppose r**5 + 7*r**4 - 11*r**3 - 19*r**2 + 38*r - 16 = 0. What is r?
-8, -2, 1
Solve 3*s**3/4 + 8*s**2 + 95*s/4 + 25/2 = 0.
-5, -2/3
Solve -4*p**2/7 - 536*p - 125692 = 0.
-469
Solve -5*h**2 - 12220*h - 7466420 = 0 for h.
-1222
Let -3*y**3 - 204*y**2 + 213*y + 414 = 0. Calculate y.
-69, -1, 2
Factor -5*y**2 - 15170*y - 11506445.
-5*(y + 1517)**2
Let 4*o**5 - 20*o**4 - 28*o**3 + 20*o**2 + 24*o = 0. What is o?
-1, 0, 1, 6
Factor -4*a**3 + 32*a**2 + 4*a - 32.
-4*(a - 8)*(a - 1)*(a + 1)
Factor 2*v**3 - 16*v**2 + 24*v.
2*v*(v - 6)*(v - 2)
Factor -8*u**3 - 100*u**2 - 304*u - 128.
-4*(u + 4)*(u + 8)*(2*u + 1)
Determine i so that -4*i**2 + 14488*i - 13118884 = 0.
1811
Solve 2*x**4 + 4*x**3 - 2*x**2 - 4*x = 0.
-2, -1, 0, 1
Let -14*i**2 + 18*i - 4 = 0. What is i?
2/7, 1
Determine l so that 2*l**4 + 944*l**3 + 113264*l**2 + 441792*l + 438048 = 0.
-234, -2
Determine y, given that y**4/5 + 117*y**3/5 + 888*y**2 + 9920*y - 38400 = 0.
-40, 3
Factor 3*y**2 - 174*y.
3*y*(y - 58)
Factor 2*i**2/13 - 10*i/13 + 12/13.
2*(i - 3)*(i - 2)/13
Find b such that 7*b**5/2 + 22*b**4 + 34*b**3 + 8*b**2 = 0.
-4, -2, -2/7, 0
Find x such that x**2/3 - 236*x/3 - 79 = 0.
-1, 237
Factor -2*q**2 + 158*q + 160.
-2*(q - 80)*(q + 1)
Factor 3*i**4 + 6*i**3 - 3*i**2 - 6*i.
3*i*(i - 1)*(i + 1)*(i + 2)
Find p such that 2*p**3/13 + 148*p**2/13 + 3234*p/13 + 17424/13 = 0.
-33, -8
Factor -3*n**2 + 24384*n - 49548288.
-3*(n - 4064)**2
Find t, given that -5*t**3/3 + 10*t**2/3 + 5*t/3 - 10/3 = 0.
-1,