**2 + 184*q.
-4*q*(q - 23)*(q - 2)*(q - 1)
Factor -n**4/3 + 10*n**3 - 87*n**2 + 860*n/3 - 300.
-(n - 18)*(n - 5)**2*(n - 2)/3
Find f such that 8*f**5/9 + 4*f**4/9 - 56*f**3/9 - 16*f**2/9 + 32*f/3 = 0.
-2, 0, 3/2, 2
Factor -4*g**2 + 724*g.
-4*g*(g - 181)
Factor -4*f**2/5 + 32*f.
-4*f*(f - 40)/5
Factor -p**4/6 + 5*p**3 - 63*p**2/2 - 110*p/3.
-p*(p - 20)*(p - 11)*(p + 1)/6
Factor -15*s**4 - 250*s**3 - 855*s**2 + 1620*s.
-5*s*(s + 9)**2*(3*s - 4)
Find f, given that -3*f**2 - 4380*f - 4377 = 0.
-1459, -1
Find o, given that -3*o**5 + 42*o**4 - 57*o**3 - 198*o**2 + 216*o = 0.
-2, 0, 1, 3, 12
Solve 3*n**5 - 39*n**4 + 45*n**3 + 219*n**2 + 132*n = 0.
-1, 0, 4, 11
Suppose 20*r**5 + 15*r**4 - 220*r**3 + 195*r**2 + 110*r - 120 = 0. Calculate r.
-4, -3/4, 1, 2
Factor -k**3 - k**2.
-k**2*(k + 1)
Let 3*b**4/4 + 351*b**3/4 + 4863*b**2/2 - 7920*b + 5400 = 0. What is b?
-60, 1, 2
Factor -d**5/4 - 3*d**4/2 - 3*d**3 - 5*d**2/2 - 3*d/4.
-d*(d + 1)**3*(d + 3)/4
Factor -4*g**2 - 11824*g - 8737936.
-4*(g + 1478)**2
Factor -1592*m**2 - 3186*m - 4.
-2*(m + 2)*(796*m + 1)
Suppose 20*u**2/3 + 10025*u/6 - 1255/2 = 0. Calculate u.
-251, 3/8
What is k in 2*k**5/3 + 96*k**4 + 1408*k**3/3 + 2516*k**2/3 + 650*k + 556/3 = 0?
-139, -2, -1
Suppose -486*q**5 + 3240*q**4 + 10026*q**3 + 8260*q**2/3 - 28600*q/3 - 6000 = 0. Calculate q.
-10/9, 1, 9
Factor 555*w**2 + 171*w + 12.
3*(5*w + 1)*(37*w + 4)
Solve -d**3/2 + 18*d = 0 for d.
-6, 0, 6
Find j such that j**4 - 20*j**3 + 35*j**2 + 20*j - 36 = 0.
-1, 1, 2, 18
Solve -w**4/7 + 13*w**3/7 - 57*w**2/7 + 99*w/7 - 54/7 = 0 for w.
1, 3, 6
Factor 3*z**3/5 - 12*z**2/5 + 9*z/5.
3*z*(z - 3)*(z - 1)/5
Suppose -9*y**5 + 21*y**4 + 75*y**3 - 45*y**2 - 66*y + 24 = 0. What is y?
-2, -1, 1/3, 1, 4
Determine x, given that -5*x**2 - 1645*x - 3270 = 0.
-327, -2
Factor 3*n**4/8 - 3*n**3/2 - 81*n**2/8 - 57*n/4 - 6.
3*(n - 8)*(n + 1)**2*(n + 2)/8
Factor -5*w**2 - 845*w + 2580.
-5*(w - 3)*(w + 172)
Factor -b**2 + 105*b + 1666.
-(b - 119)*(b + 14)
Factor 5*o**4 + 23*o**3 + 25*o**2 + o - 6.
(o + 1)**2*(o + 3)*(5*o - 2)
Factor -d**4/3 + 8*d**3/3 - 7*d**2 + 22*d/3 - 8/3.
-(d - 4)*(d - 2)*(d - 1)**2/3
Factor -2*w**3/9 - 253*w**2/3 - 7980*w + 36100/9.
-(w + 190)**2*(2*w - 1)/9
Factor -4*v**2/7 + 552*v/7 - 19044/7.
-4*(v - 69)**2/7
What is c in 5*c**4 - 525*c**3 + 1525*c**2 + 525*c - 1530 = 0?
-1, 1, 3, 102
Factor -2*y**2/3 - 1496*y/3 - 279752/3.
-2*(y + 374)**2/3
Find l, given that -4*l**5 - 40*l**4 - 28*l**3 + 504*l**2 + 432*l - 864 = 0.
-6, -2, 1, 3
Factor 5*d**2 - 650*d + 21125.
5*(d - 65)**2
What is v in -4*v**3 + 7208*v**2 - 14404*v + 7200 = 0?
1, 1800
Find x such that 2*x**3/13 + 204*x**2/13 - 32*x = 0.
-104, 0, 2
Solve -5*a**5/6 + 4*a**4 - 14*a**3/3 - 5*a**2/3 + 11*a/2 - 7/3 = 0 for a.
-1, 1, 14/5
Solve -2*b**2/15 + 72*b/5 - 1414/15 = 0.
7, 101
Suppose -9*l**5 + 426*l**4 - 2943*l**3 + 654*l**2 + 1872*l = 0. What is l?
-2/3, 0, 1, 8, 39
Factor g**2/7 + 72*g/7 + 1296/7.
(g + 36)**2/7
Suppose 18*j**5 - 76*j**4 - 74*j**3 + 20*j**2 = 0. Calculate j.
-1, 0, 2/9, 5
Find c such that 3*c**2/4 - 885*c/4 - 222 = 0.
-1, 296
Factor 755*h**2 + 5*h.
5*h*(151*h + 1)
Factor 3*b**4 + 12*b**3 - 90*b**2 - 204*b - 105.
3*(b - 5)*(b + 1)**2*(b + 7)
Factor -3*l**2 - 15*l + 42.
-3*(l - 2)*(l + 7)
Factor 4*r**3 - 72*r**2 - 156*r - 80.
4*(r - 20)*(r + 1)**2
Let 5*h**2 + 360*h + 355 = 0. What is h?
-71, -1
Factor 2*r**5/5 - 18*r**4/5 + 12*r**3 - 88*r**2/5 + 48*r/5.
2*r*(r - 3)*(r - 2)**3/5
Factor 2*u**5/9 - 2*u**4/9 - 4*u**3/9.
2*u**3*(u - 2)*(u + 1)/9
Let -5*x**5/4 - 59*x**4/4 - 243*x**3/4 - 409*x**2/4 - 52*x + 15 = 0. What is x?
-5, -3, -2, 1/5
Find y, given that 2*y**4 + 40*y**3 = 0.
-20, 0
Factor -2*y**4 + 1420*y**3 - 252050*y**2.
-2*y**2*(y - 355)**2
Let -2*n**4 + 24*n**3 - 84*n**2 + 40*n + 150 = 0. What is n?
-1, 3, 5
Factor -4*y**3/9 + 32*y**2/9 - 52*y/9 + 8/3.
-4*(y - 6)*(y - 1)**2/9
Factor -c**2/2 - 655*c - 429025/2.
-(c + 655)**2/2
Factor -4*r**2 - 20*r + 24.
-4*(r - 1)*(r + 6)
Factor -v**3/5 - 4*v**2/5 + 177*v/5 + 36.
-(v - 12)*(v + 1)*(v + 15)/5
Determine x so that 4*x**2 + 16920*x + 17892900 = 0.
-2115
Factor 3*f**3/2 + 1179*f**2 - 2361*f/2.
3*f*(f - 1)*(f + 787)/2
Factor 477*v**2 - 6*v.
3*v*(159*v - 2)
Solve -5*z**2 - 60*z - 175 = 0 for z.
-7, -5
Let w**5 + 1013*w**4/4 + 249*w**3/4 - 1013*w**2/4 - 253*w/4 = 0. Calculate w.
-253, -1, -1/4, 0, 1
Determine f so that 5*f**3/3 - 180*f**2 - 365*f - 550/3 = 0.
-1, 110
Factor -5*b**3 - 90*b**2 - 75*b + 170.
-5*(b - 1)*(b + 2)*(b + 17)
Factor 2*v**4 - 4*v**3 - 24*v**2 + 36*v + 54.
2*(v - 3)**2*(v + 1)*(v + 3)
Find k such that -2*k**3/13 - 1458*k**2/13 - 354294*k/13 - 28697814/13 = 0.
-243
Let 2*c**4/9 + 10*c**3/9 + 8*c**2/9 = 0. What is c?
-4, -1, 0
Find y such that y**4 - 94*y**3 + 1909*y**2 + 14100*y + 22500 = 0.
-3, 50
Solve -2*u**3/7 + 8*u**2 + 118*u/7 + 60/7 = 0.
-1, 30
Factor 3*q**4 - 5*q**3/2 - 4*q**2 + 7*q/2.
q*(q - 1)**2*(6*q + 7)/2
Determine y so that -4*y**2 - 224*y = 0.
-56, 0
Determine v, given that -2*v**2/5 - 14*v/5 = 0.
-7, 0
Factor z**2 + 2444*z + 1493284.
(z + 1222)**2
Determine j so that -3*j**5 + 102*j**4 + 558*j**3 + 1032*j**2 + 813*j + 234 = 0.
-2, -1, 39
Find c, given that 45*c**4 - 240*c**3 - 205*c**2 + 1640*c + 560 = 0.
-7/3, -1/3, 4
Determine x, given that x**4/4 - 427*x**3/2 + 181473*x**2/4 + 91378*x + 45796 = 0.
-1, 428
Solve -5*x**3 + 55*x**2 - 50*x = 0 for x.
0, 1, 10
Find r, given that 9*r**3 - 1131*r**2 - 378*r = 0.
-1/3, 0, 126
Suppose -2*k**4/7 + 16900*k**3/7 - 35684346*k**2/7 - 71419400*k/7 - 35718152/7 = 0. Calculate k.
-1, 4226
Find y such that 12*y**4 - 16*y**3 - 20*y**2 + 8*y = 0.
-1, 0, 1/3, 2
Solve -3*t**3 - 143*t**2 - 283*t/3 - 47/3 = 0.
-47, -1/3
Let 4*k**3 - 12*k**2 - 24*k + 32 = 0. Calculate k.
-2, 1, 4
Factor -4*r**3/5 + 28*r/5 + 24/5.
-4*(r - 3)*(r + 1)*(r + 2)/5
Solve 2*r**2/7 - 286*r/7 - 288/7 = 0 for r.
-1, 144
Factor -2*x**2/13 + 204*x/13 - 5202/13.
-2*(x - 51)**2/13
Solve -5*t**3 - 378*t**2 - 7068*t + 2888 = 0 for t.
-38, 2/5
Suppose -5*i**3 + 71*i**2/2 - 67*i/2 + 3 = 0. Calculate i.
1/10, 1, 6
Solve -4500*k**4 - 4200*k**3 - 305*k**2 + 465*k + 90 = 0.
-2/3, -3/10, 1/3
Factor -3*h**3 - 9*h**2 - 6*h.
-3*h*(h + 1)*(h + 2)
Factor -q**3/2 - 5*q**2/2 - 7*q/2 - 3/2.
-(q + 1)**2*(q + 3)/2
Determine v, given that 2*v**2 + 778*v = 0.
-389, 0
Find r, given that -5*r**4 + 200*r**3 - 570*r**2 + 560*r - 185 = 0.
1, 37
Find h such that -162*h**4/11 + 144*h**3/11 + 130*h**2/11 - 144*h/11 + 32/11 = 0.
-1, 4/9, 1
Factor 4*r**4 - 488*r**3 + 14884*r**2.
4*r**2*(r - 61)**2
Find x such that -x**2/5 - 4327*x/5 = 0.
-4327, 0
Find k such that -14*k**3 - 34*k**2 - 20*k = 0.
-10/7, -1, 0
Suppose 20*k**5 + 48*k**4 - 64*k**3 - 72*k**2 + 44*k + 24 = 0. Calculate k.
-3, -1, -2/5, 1
Let -2*y**5/3 + 6580*y**4/9 - 2402416*y**3/9 + 32327072*y**2 + 43937568*y - 43580352 = 0. Calculate y.
-2, 2/3, 366
Determine v, given that -v**4/8 + 27*v**3/8 - 59*v**2/4 + 45*v/2 - 11 = 0.
1, 2, 22
Suppose 2*n**3/11 - 4566*n**2/11 + 3474726*n/11 - 881422162/11 = 0. What is n?
761
Suppose -2*o**5 + 6*o**4 + 8*o**3 - 32*o**2 + 32 = 0. Calculate o.
-2, -1, 2
Factor -3*s**4 - 21*s**3 + 84*s**2 - 60*s.
-3*s*(s - 2)*(s - 1)*(s + 10)
Determine s so that s**4 - 11*s**3 - 25*s**2 - 13*s = 0.
-1, 0, 13
Factor -2*s**2/5 + 2*s/5 + 144/5.
-2*(s - 9)*(s + 8)/5
Suppose -10*s**3/9 - 62*s**2/9 + 58*s/9 + 14/9 = 0. Calculate s.
-7, -1/5, 1
Factor -3*d**5/4 + d**4 + d**3.
-d**3*(d - 2)*(3*d + 2)/4
Factor 6*r**4 - 52*r**3 - 78*r**2 - 20*r.
2*r*(r - 10)*(r + 1)*(3*r + 1)
Determine j so that -3*j**2/5 + 2959*j/5 - 986/5 = 0.
1/3, 986
Let 5*t**3 + 4035*t**2 + 812040*t - 816080 = 0. What is t?
-404, 1
What is b in -2*b**4/13 - 54*b**3/13 + 180*b**2/13 = 0?
-30, 0, 3
Factor 3*a**4/4 + 21*a**3/4 - 18*a**2 - 135*a.
3*a*(a - 5)*(a + 6)**2/4
Determine b, given that 63*b**4 + 6457*b**3 - 30256*b**2 + 14108*b - 1712 = 0.
-107, 2/9, 2/7, 4
Factor 4*p**2 - 20*p - 56.
4*(p - 7)*(p + 2)
What is w in 12*w**5 + 327*w**4 + 1497*w**3 + 2514*w**2 + 1596*w + 264 = 0?
-22, -2, -1, -1/4
Find q such that -15*q**2 + 5*q = 0.
0, 1/3
Factor -5*l**3 + 30*l**2 - 45*l.
-5*l*(l - 3)**2
What is k in -k**2 - 740*k = 0?
-740, 0
Factor h**3/3 - 40*h**2/3 + 121*h - 252.
(h - 28)*(h - 9)*(h - 3)/3
Suppose -g**5/3 + 25*g**4/3 + 110*g**3/3 + 170*g**2/3 + 115*g/3 + 29/3 = 0. Calculat