*4 + 76*d**3 + 164*d**2 + 84*d.
-4*d*(d - 21)*(d + 1)**2
Determine g, given that 3*g**3/5 + 10611*g**2/5 + 12510369*g/5 + 4916575017/5 = 0.
-1179
Factor -40*m**3 - 1065*m**2 - 7410*m - 4225.
-5*(m + 13)**2*(8*m + 5)
Suppose -4*c**4 - 64*c**3 - 212*c**2 - 248*c - 96 = 0. Calculate c.
-12, -2, -1
Factor -5*l**4 + 20*l**3 - 80*l + 80.
-5*(l - 2)**3*(l + 2)
Suppose -4*s**2 + 28*s - 40 = 0. What is s?
2, 5
Solve 4*l**4 + 28*l**3 + 32*l**2 - 64*l = 0.
-4, 0, 1
Factor 2*i**2/13 + 8*i + 102/13.
2*(i + 1)*(i + 51)/13
Let 2*b**5/9 - 44*b**4/9 + 94*b**3/3 - 440*b**2/9 + 200*b/9 = 0. What is b?
0, 1, 10
Find z, given that -z**5 - 5*z**4 - z**3 + 21*z**2 + 18*z = 0.
-3, -1, 0, 2
Let 8*n**5 + 222*n**4 - 536*n**3 + 120*n**2 = 0. Calculate n.
-30, 0, 1/4, 2
What is b in -b**2 - 446*b + 447 = 0?
-447, 1
Factor 5*u**2 - 70*u - 160.
5*(u - 16)*(u + 2)
Solve -12*y**3 - 920*y**2 + 308*y = 0.
-77, 0, 1/3
Solve -2*u**5 - 80*u**4 + 166*u**3 - 84*u**2 = 0.
-42, 0, 1
Determine t, given that -4*t**3/5 + 28*t**2 = 0.
0, 35
Determine i, given that i**4 + 16*i**3 + 49*i**2 + 6*i - 72 = 0.
-12, -3, -2, 1
Factor t**5 + 3*t**4 + t**3 - 3*t**2 - 2*t.
t*(t - 1)*(t + 1)**2*(t + 2)
Factor -4*z**3 + 80*z**2 - 400*z.
-4*z*(z - 10)**2
Factor -l**5/2 - 63*l**4/2 - 31*l**3.
-l**3*(l + 1)*(l + 62)/2
Solve 3*u**3 + 21*u**2 - 234*u = 0 for u.
-13, 0, 6
Suppose 3*p**5 - 540*p**4 + 24834*p**3 - 48060*p**2 + 23763*p = 0. Calculate p.
0, 1, 89
Suppose 2*n**5/3 + 8*n**4 - 2*n**3 - 68*n**2/3 + 16*n = 0. What is n?
-12, -2, 0, 1
Suppose -20*p**4 - 52*p**3 + 144*p**2 + 112*p - 64 = 0. Calculate p.
-4, -1, 2/5, 2
Solve 10*n**5 + 45*n**4 + 5*n**3 - 105*n**2 + 45*n = 0 for n.
-3, 0, 1/2, 1
Factor 324*n**2 - 24552*n + 465124.
4*(9*n - 341)**2
Factor -5*a**2 + 9720*a - 4723920.
-5*(a - 972)**2
Determine q so that -q**2 - 192*q - 9216 = 0.
-96
Suppose r**5/4 + 25*r**4/4 - r**3/2 - 25*r**2/2 + r/4 + 25/4 = 0. What is r?
-25, -1, 1
Determine l, given that -4*l**2/5 + 68*l/5 = 0.
0, 17
Determine u, given that -2*u**4/3 + 22*u**3/3 + 114*u**2 - 2470*u/3 - 16900/3 = 0.
-10, -5, 13
Suppose -8*z**2 - 14060*z + 7032 = 0. What is z?
-1758, 1/2
Determine a so that 4*a**5/7 - 2*a**4 + 18*a**3/7 - 10*a**2/7 + 2*a/7 = 0.
0, 1/2, 1
Factor -4*i**2/3 - 272*i/3 - 4624/3.
-4*(i + 34)**2/3
Factor 2*c**2/3 + 146*c/3 + 284/3.
2*(c + 2)*(c + 71)/3
Factor 2*n**4/9 - 2*n**3/9 - 118*n**2/9 - 74*n/3 - 12.
2*(n - 9)*(n + 1)**2*(n + 6)/9
What is v in 2*v**5 + 11*v**4 - 33*v**3 - 149*v**2 + 235*v + 150 = 0?
-5, -1/2, 2, 3
Find q, given that -28*q**5 + 260*q**4 + 628*q**3 - 1124*q**2 + 264*q = 0.
-3, 0, 2/7, 1, 11
Suppose 3*n**2/7 - 3114*n/7 = 0. Calculate n.
0, 1038
Factor -12*k**2 - 508*k + 880.
-4*(k + 44)*(3*k - 5)
Factor u**2/5 - 1002*u + 1255005.
(u - 2505)**2/5
What is q in -q**3/3 - 25*q**2/3 - 143*q/3 + 169/3 = 0?
-13, 1
Find z such that 85*z**4/2 - 607*z**3 + 4497*z**2/2 - 560*z - 98 = 0.
-2/17, 2/5, 7
Suppose -3*y**5 - 26*y**4 - 13*y**3 + 26*y**2 + 16*y = 0. Calculate y.
-8, -1, -2/3, 0, 1
Factor 60*k**3 - 2181*k**2 - 1437*k - 222.
3*(k - 37)*(4*k + 1)*(5*k + 2)
Factor 2*o**3/15 + 142*o**2/15 - 48*o/5.
2*o*(o - 1)*(o + 72)/15
Factor -r**2/5 - 23*r/5 + 248/5.
-(r - 8)*(r + 31)/5
Solve -5*v**2 + 34240*v + 34245 = 0.
-1, 6849
What is x in -x**5/5 - 2*x**4 + 23*x**3/5 - 12*x**2/5 = 0?
-12, 0, 1
Let 5*y**3 + 1460*y**2 + 16980*y + 50400 = 0. Calculate y.
-280, -6
Factor p**2/2 + 44*p + 968.
(p + 44)**2/2
Let -3*p**2/5 + 234*p/5 - 4563/5 = 0. Calculate p.
39
Let -2*h**3/5 + 16*h**2/5 + 18*h + 72/5 = 0. Calculate h.
-3, -1, 12
Factor 2*u**3/9 + 584*u**2/9 - 1766*u/9 + 1180/9.
2*(u - 2)*(u - 1)*(u + 295)/9
Factor 2*p**3/3 - 28*p**2/3 + 118*p/3 - 140/3.
2*(p - 7)*(p - 5)*(p - 2)/3
Factor r**3/4 + 119*r**2/4 + 695*r/2 + 318.
(r + 1)*(r + 12)*(r + 106)/4
Let -4*k**2/9 + 20*k - 56 = 0. What is k?
3, 42
Let -i**3 - 6*i**2 + 37*i - 30 = 0. Calculate i.
-10, 1, 3
Factor g**2/3 + 108*g.
g*(g + 324)/3
Find r, given that 16*r**3 + 42*r**2 - 16*r - 42 = 0.
-21/8, -1, 1
Factor -b**3/3 - 83*b**2/3 + b/3 + 83/3.
-(b - 1)*(b + 1)*(b + 83)/3
Solve -61*l**2/11 + 3*l/11 = 0 for l.
0, 3/61
Solve 4*d**2 - 44*d - 504 = 0.
-7, 18
What is s in -s**4 - 52*s**3 + 221*s**2 - 168*s = 0?
-56, 0, 1, 3
Factor 2*c**4/17 + 62*c**3/17 - 198*c**2/17 + 202*c/17 - 4.
2*(c - 1)**3*(c + 34)/17
Factor 4*s**3 + 248*s**2 - 276*s - 1512.
4*(s - 3)*(s + 2)*(s + 63)
Let p**5/2 + 9*p**4/2 - 25*p**3 - 273*p**2 + 49*p/2 + 5145/2 = 0. Calculate p.
-7, -5, 3, 7
Factor -2*z**3/9 - 436*z**2/3 - 1720*z - 5136.
-2*(z + 6)**2*(z + 642)/9
Factor -5*s**3 + 5*s**2 + 10*s.
-5*s*(s - 2)*(s + 1)
What is m in -4*m**4/3 + 416*m**3/3 - 2384*m**2/3 + 3136*m/3 = 0?
0, 2, 4, 98
Factor -2*b**3/13 + 90*b**2/13 + 92*b/13.
-2*b*(b - 46)*(b + 1)/13
Factor -3*d**5/7 - 3*d**4/7 + 15*d**3/7 + 3*d**2/7 - 24*d/7 + 12/7.
-3*(d - 1)**3*(d + 2)**2/7
Factor s**4/5 - s**3 + 4*s**2/5.
s**2*(s - 4)*(s - 1)/5
Factor -18*r**3 - 102*r**2 - 176*r - 96.
-2*(r + 3)*(3*r + 4)**2
Factor -3*d**4 - 9*d**3 - 3*d**2 + 9*d + 6.
-3*(d - 1)*(d + 1)**2*(d + 2)
Determine k so that 2*k**3 + 140*k**2 + 274*k + 136 = 0.
-68, -1
What is u in -2*u**2/5 + 22*u/5 = 0?
0, 11
Solve -5*s**3 - 15*s**2 - 15*s - 5 = 0.
-1
Factor -q**4 + 2*q**3 + 5*q**2 - 6*q.
-q*(q - 3)*(q - 1)*(q + 2)
Factor 3*r**5 - 12*r**4 + 42*r**2 - 51*r + 18.
3*(r - 3)*(r - 1)**3*(r + 2)
What is o in -o**4/5 + 159*o**3/10 + 8*o**2 = 0?
-1/2, 0, 80
Factor n**4/3 - 12*n**3 + 144*n**2 - 576*n.
n*(n - 12)**3/3
Factor m**3/5 + 24*m**2/5 + 23*m/5.
m*(m + 1)*(m + 23)/5
Factor 3*w**4/7 - 114*w**3/7 + 1287*w**2/7 - 3876*w/7 + 3468/7.
3*(w - 17)**2*(w - 2)**2/7
Solve 2*o**2/17 - 720*o/17 + 64800/17 = 0 for o.
180
Factor 9*g**2 + 8*g - 17.
(g - 1)*(9*g + 17)
Solve -3*l**2 - 474*l + 960 = 0 for l.
-160, 2
Factor -3*a**4 - 87*a**3 - 666*a**2 - 1920*a - 1824.
-3*(a + 2)*(a + 4)**2*(a + 19)
Let -i**2 - 10*i - 16 = 0. Calculate i.
-8, -2
Find u, given that -3*u**4 + 612*u**3 - 41616*u**2 + 943296*u = 0.
0, 68
Let -2*r**4/13 - 20*r**3/13 - 2*r**2 + 120*r/13 - 72/13 = 0. What is r?
-6, 1
Find d, given that -2*d**5/13 + 50*d**4/13 - 86*d**3/13 - 154*d**2/13 + 376*d/13 - 184/13 = 0.
-2, 1, 2, 23
Find n such that 2*n**3 + 84*n**2 - 2*n - 84 = 0.
-42, -1, 1
Find w such that -9*w**2 + 165*w + 1224 = 0.
-17/3, 24
Factor -u**2/5 - 16*u - 231/5.
-(u + 3)*(u + 77)/5
Factor 5*t**3 - 15*t**2 - 30*t + 40.
5*(t - 4)*(t - 1)*(t + 2)
Factor -244*f**3 - 3652*f**2 - 3296*f + 112.
-4*(f + 1)*(f + 14)*(61*f - 2)
Suppose -2*t**3 + 54*t**2 + 114*t + 58 = 0. Calculate t.
-1, 29
Factor -2*o**2 + 86*o + 1320.
-2*(o - 55)*(o + 12)
Let -2*g**3/23 + 32*g**2/23 - 160*g/23 + 256/23 = 0. Calculate g.
4, 8
What is u in 3*u**2/5 - 9*u/5 + 6/5 = 0?
1, 2
Suppose 4*y**4/3 - 236*y**3/3 - 1380*y**2 - 21700*y/3 - 37000/3 = 0. Calculate y.
-5, 74
Suppose x**3 - 33*x**2 - 106*x - 72 = 0. Calculate x.
-2, -1, 36
What is u in -2*u**4/3 - 6*u**3 + 272*u**2/3 + 136*u - 1920 = 0?
-16, -5, 6
Solve -2*p**3/11 + 2736*p**2/11 - 1247616*p/11 + 189637632/11 = 0.
456
Solve -45*y**4 + 230*y**3 + 560*y**2 + 250*y - 35 = 0.
-1, 1/9, 7
Suppose 5*n**4 - 110*n**3 + 705*n**2 - 1100*n + 500 = 0. What is n?
1, 10
Factor 3*l**2/4 + 5715*l/4 + 1428.
3*(l + 1)*(l + 1904)/4
Find s, given that -10*s**5 - 205*s**4 - 920*s**3 - 1490*s**2 - 990*s - 225 = 0.
-15, -3, -1, -1/2
Suppose c**4/5 + 3*c**3/5 - 3*c**2/5 - 7*c/5 + 6/5 = 0. What is c?
-3, -2, 1
Suppose 5*g**3 - 15*g - 10 = 0. Calculate g.
-1, 2
Factor -5*y**2 + 6380*y - 6375.
-5*(y - 1275)*(y - 1)
Factor -3*m**3/5 + 24*m**2/5 + 213*m/5 - 234/5.
-3*(m - 13)*(m - 1)*(m + 6)/5
Factor a**2 - 808*a + 163216.
(a - 404)**2
Suppose 4*m**3 - 15988*m**2 + 15968012*m + 15984004 = 0. Calculate m.
-1, 1999
What is k in -k**4 + 4*k**3/5 + k**2/5 = 0?
-1/5, 0, 1
Determine z so that -z**4/2 - 2*z**3 - 3*z**2/2 + 2*z + 2 = 0.
-2, -1, 1
Let -2*z**2/5 - 18396*z/5 - 42301602/5 = 0. Calculate z.
-4599
Factor -6*a**2 + 2319*a/2 - 579/2.
-3*(a - 193)*(4*a - 1)/2
Factor -d**3 - 120*d**2 - 3348*d + 15376.
-(d - 4)*(d + 62)**2
Suppose 27*r**5/2 + 63*r**4 + 84*r**3 + 8*r**2 - 40*r - 16 = 0. Calculate r.
-2, -2/3, 2/3
Factor 2*n**3 - 10*n**2 - 128*n + 280.
2*(n - 10)*(n - 2)*(n + 7)
Factor -u**2/4 - 27*u/4 - 35.
-(u + 7)*(u + 20)/4
Factor -2*c**4/3 - 14*c**3/3 - 10*c**2 - 6*c.
-2*c*(c + 1)*(c + 3)**2/3
Factor -5*a**3 +