**3 + 20*x**2 = 0.
0, 5/4
Solve -p**3/3 + 58*p**2/3 - 1120*p/3 + 2400 = 0 for p.
18, 20
Factor 3*q**3/7 - 3*q**2/7 - 30*q/7 - 24/7.
3*(q - 4)*(q + 1)*(q + 2)/7
Factor 18*b**3/7 - 248*b**2/7 - 632*b/7 - 128/7.
2*(b - 16)*(b + 2)*(9*b + 2)/7
What is n in 14*n**4 - 59*n**3/3 - 16*n**2 - 4*n/3 = 0?
-1/2, -2/21, 0, 2
Factor 2*j**4 - 3*j**3 - 5*j**2 + 6*j.
j*(j - 2)*(j - 1)*(2*j + 3)
Determine k, given that -k**4 + 22*k**3 - 108*k**2 + 200*k - 128 = 0.
2, 16
Determine w so that -3*w**2/2 + 9*w/2 = 0.
0, 3
Factor t**3 + 111*t**2.
t**2*(t + 111)
Factor r**5 - 160*r**4 - 650*r**3 - 980*r**2 - 655*r - 164.
(r - 164)*(r + 1)**4
What is t in 2*t**5 - 74*t**4 + 840*t**3 - 2816*t**2 + 2048*t = 0?
0, 1, 4, 16
Factor -m**4 + 11*m**3 + 896*m**2 + 7644*m.
-m*(m - 39)*(m + 14)**2
Factor -2*a**3/9 - 2*a**2 + 464*a/9 + 160/3.
-2*(a - 12)*(a + 1)*(a + 20)/9
Find g such that 3*g**5/5 - 42*g**4/5 + 15*g**3 - 36*g**2/5 = 0.
0, 1, 12
Suppose 153*b**4/2 + 597*b**3/4 + 69*b**2 - 15*b/4 = 0. Calculate b.
-1, 0, 5/102
Determine g so that -7*g**4 - 18*g**3 - 15*g**2 - 4*g = 0.
-1, -4/7, 0
Find z such that -14*z**2 + 11028*z + 3152 = 0.
-2/7, 788
Factor 4*q**2/5 - 176*q/5 - 768/5.
4*(q - 48)*(q + 4)/5
Factor u**4 - 72*u**3 + 533*u**2 - 1362*u + 1152.
(u - 64)*(u - 3)**2*(u - 2)
Factor -3*h**3/5 + 33*h**2/5 - 78*h/5 + 48/5.
-3*(h - 8)*(h - 2)*(h - 1)/5
Factor 65*f**3 + 410*f**2 - 335*f - 140.
5*(f - 1)*(f + 7)*(13*f + 4)
Factor 4*t**2 - 2056*t - 2060.
4*(t - 515)*(t + 1)
Let 2*f**4 - 25*f**3/2 + 13*f**2 + 43*f/2 - 6 = 0. Calculate f.
-1, 1/4, 3, 4
Let 14*c**4/11 + 48*c**3/11 + 60*c**2/11 + 32*c/11 + 6/11 = 0. Calculate c.
-1, -3/7
Suppose -3*n**4/2 + 6*n**3 - 9*n**2 + 6*n - 3/2 = 0. Calculate n.
1
Solve 3*t**4/4 + 3*t**3 - 75*t**2/4 - 66*t - 45 = 0.
-6, -2, -1, 5
Suppose x**3/4 - 3*x**2 - 43*x/4 - 15/2 = 0. What is x?
-2, -1, 15
Solve -d**5/3 + 23*d**4/3 - 184*d**3/3 + 560*d**2/3 - 256*d/3 - 1024/3 = 0.
-1, 4, 8
Let -5*w**3 - 115*w**2 - 215*w - 105 = 0. Calculate w.
-21, -1
Factor 5*u**2/4 + 45*u/2 + 85/4.
5*(u + 1)*(u + 17)/4
Suppose -2*t**2/13 + 50*t/13 - 288/13 = 0. Calculate t.
9, 16
Determine d so that -2*d**3/5 + 36*d**2 - 1162*d/5 = 0.
0, 7, 83
Let -2*j**3 - 36*j**2 - 58*j + 96 = 0. Calculate j.
-16, -3, 1
Factor 25*s**4 + 255*s**3 + 34*s**2 - 156*s + 40.
(s + 1)*(s + 10)*(5*s - 2)**2
Determine f so that -3*f**3 - 444*f**2 + 897*f - 450 = 0.
-150, 1
Let b**4/3 - 12*b**3 - 572*b**2/3 + 5376*b + 200704/3 = 0. Calculate b.
-14, 32
Factor 5*t**3 - 942*t**2 + 1311*t - 374.
(t - 187)*(t - 1)*(5*t - 2)
Factor 2*k**2 - 26*k + 60.
2*(k - 10)*(k - 3)
Factor o**2/10 + 105*o + 55125/2.
(o + 525)**2/10
Factor 5*o**2 + 30*o - 35.
5*(o - 1)*(o + 7)
Determine y, given that -y**2/5 + 2082*y/5 - 1083681/5 = 0.
1041
Solve 530*k**4/9 + 1438*k**3/9 + 1322*k**2/9 + 50*k + 4 = 0.
-1, -3/5, -6/53
Let 3*c**2 - 12 = 0. Calculate c.
-2, 2
Factor g**4/8 + 65*g**3/8 - 69*g**2/4 - 65*g/2 + 67.
(g - 2)**2*(g + 2)*(g + 67)/8
What is s in -3*s**4 + 3*s**3 + 3*s**2 - 3*s = 0?
-1, 0, 1
Factor -i**3/2 + 526*i**2 - 138338*i.
-i*(i - 526)**2/2
Factor t**4/5 + 8*t**3/5 - 9*t**2/5.
t**2*(t - 1)*(t + 9)/5
Let -4*z**5 + 59*z**4 - 41*z**3 - 14*z**2 = 0. Calculate z.
-1/4, 0, 1, 14
What is f in f**3/2 + 917*f**2/2 = 0?
-917, 0
Find w, given that 2*w**5/9 - 2*w**4/9 - 10*w**3/9 + 10*w**2/9 + 8*w/9 - 8/9 = 0.
-2, -1, 1, 2
Suppose 2*r**4/5 + 5982*r**3/5 + 5964054*r**2/5 + 1982053946*r/5 = 0. Calculate r.
-997, 0
Factor -a**3 + 10*a**2 - 23*a + 14.
-(a - 7)*(a - 2)*(a - 1)
Factor -5*a**4 - 185*a**3 - 490*a**2 + 680*a.
-5*a*(a - 1)*(a + 4)*(a + 34)
Factor -4*n**2/5 + 3152*n/5 - 620944/5.
-4*(n - 394)**2/5
What is w in -2*w**5/11 + 72*w**4/11 - 716*w**3/11 + 1224*w**2/11 - 578*w/11 = 0?
0, 1, 17
Solve 2*v**3 + 26*v**2 + 20*v - 48 = 0.
-12, -2, 1
Factor -a**3/4 - 3*a**2 + 43*a/4 - 15/2.
-(a - 2)*(a - 1)*(a + 15)/4
Solve -2*p**2 + 90*p = 0 for p.
0, 45
Factor s**2/2 + 217*s + 432.
(s + 2)*(s + 432)/2
Factor -4*p**2 + 16*p + 20.
-4*(p - 5)*(p + 1)
Factor -l**4 + 51*l**3 - 193*l**2 + 237*l - 94.
-(l - 47)*(l - 2)*(l - 1)**2
Factor 2*k**4/7 - 18*k**3/7 + 46*k**2/7 - 6*k/7 - 72/7.
2*(k - 4)*(k - 3)**2*(k + 1)/7
Factor 4*g**3/3 + 11*g**2 - 24*g - 20/3.
(g - 2)*(g + 10)*(4*g + 1)/3
Find k, given that k**3/4 - 33*k**2/4 = 0.
0, 33
Factor 13*x**4 - 225*x**3 + 796*x**2 - 900*x + 208.
(x - 13)*(x - 2)**2*(13*x - 4)
Solve -117*d**3 - 3*d**2 + 120*d = 0.
-40/39, 0, 1
Factor -j**3 + 301*j**2 + 302*j.
-j*(j - 302)*(j + 1)
Solve -1875*z**4 + 12825*z**3 + 35838*z**2 + 5484*z + 216 = 0 for z.
-2, -2/25, 9
Let -2*z**2/5 + 58*z/5 - 56/5 = 0. What is z?
1, 28
Factor 3*w**3 - 12*w**2 - 33*w + 90.
3*(w - 5)*(w - 2)*(w + 3)
Factor 3*g**2/4 - 4593*g/2 + 7031883/4.
3*(g - 1531)**2/4
Suppose -40*o**4 + 6610*o**3 + 4995*o**2 - 2485*o - 830 = 0. Calculate o.
-1, -1/4, 1/2, 166
Let -v**3/5 + 9*v**2/5 + 2*v = 0. Calculate v.
-1, 0, 10
Factor 15*s**3/7 - 171*s**2/7 + 192*s/7 + 180/7.
3*(s - 10)*(s - 2)*(5*s + 3)/7
Solve 2*m**3/13 - 64*m**2/13 - 2584*m/13 + 83232/13 = 0 for m.
-36, 34
Factor -f**4/3 - 8*f**3/3 + 5*f**2/3 + 28*f.
-f*(f - 3)*(f + 4)*(f + 7)/3
Factor -j**3/2 - 21*j**2/2 + 1053*j/2 - 7943/2.
-(j - 13)**2*(j + 47)/2
Factor 4*g**5 + 4*g**4 - 48*g**3.
4*g**3*(g - 3)*(g + 4)
Let -20*n**2 + 835*n + 210 = 0. What is n?
-1/4, 42
Determine v so that 24*v**2 + 196*v + 32 = 0.
-8, -1/6
Factor -5*l**2 + 570*l + 12635.
-5*(l - 133)*(l + 19)
Factor 3*z**3/7 - 6*z**2/7 - 57*z/7 + 60/7.
3*(z - 5)*(z - 1)*(z + 4)/7
Let -y**4/4 + 25*y**3/4 - 189*y**2/4 + 407*y/4 - 121/2 = 0. What is y?
1, 2, 11
Factor -3*g**2/2 + 3*g - 3/2.
-3*(g - 1)**2/2
Factor -w**2 + 136*w - 4624.
-(w - 68)**2
Factor 2*y**3/17 - 40*y**2/17 + 106*y/17 - 4.
2*(y - 17)*(y - 2)*(y - 1)/17
Factor 6*q**3 - 8*q**2 - 34*q + 12.
2*(q - 3)*(q + 2)*(3*q - 1)
Let -f**3 + 12*f**2 - 35*f = 0. What is f?
0, 5, 7
Factor -100*y**5 + 380*y**4 - 556*y**3 + 388*y**2 - 128*y + 16.
-4*(y - 1)**3*(5*y - 2)**2
Factor -980*s**4 + 4648*s**3 - 4464*s**2 - 2592*s.
-4*s*(5*s + 2)*(7*s - 18)**2
Find v such that -10*v**4/9 + 22*v**3/9 + 4*v**2/9 - 16*v/9 = 0.
-4/5, 0, 1, 2
Suppose -6*a**4/11 + 94*a**3/11 - 222*a**2/11 + 186*a/11 - 52/11 = 0. Calculate a.
2/3, 1, 13
Solve 2*b**2/5 - 38*b/5 = 0 for b.
0, 19
Factor 2*s**4/5 + 2*s**3 + 16*s**2/5 + 8*s/5.
2*s*(s + 1)*(s + 2)**2/5
Let -9*l**3 + 78*l**2 + 33*l - 54 = 0. Calculate l.
-1, 2/3, 9
What is v in -30*v**5/17 - 26*v**4/17 + 4*v**3/17 = 0?
-1, 0, 2/15
Let -2*a**2/21 - 908*a/7 - 309174/7 = 0. Calculate a.
-681
Factor t**2 + 3078*t + 2368521.
(t + 1539)**2
Let y**4/4 + y**3/4 - 5*y**2/2 - y + 6 = 0. Calculate y.
-3, -2, 2
Determine a so that 2*a**2 - 9276*a + 10755522 = 0.
2319
Let c**3/4 + 11*c**2/2 - c/4 - 11/2 = 0. Calculate c.
-22, -1, 1
Let -4*s**5/3 - 61*s**4/3 - 295*s**3/3 - 550*s**2/3 - 376*s/3 - 64/3 = 0. What is s?
-8, -4, -2, -1, -1/4
Let -2*k**5/5 + 4*k**4/5 + 6*k**3/5 - 16*k**2/5 + 8*k/5 = 0. Calculate k.
-2, 0, 1, 2
Factor 16*s**3 - 3504*s**2 + 3492*s - 872.
4*(s - 218)*(2*s - 1)**2
Factor -507*k**2 + 513*k - 6.
-3*(k - 1)*(169*k - 2)
Let 7*z**3/4 + 411*z**2/4 + 1220*z - 357 = 0. Calculate z.
-42, -17, 2/7
Solve -s**2/4 + 81*s/4 - 79/2 = 0.
2, 79
Factor 4*u**2 + 880*u + 48400.
4*(u + 110)**2
Suppose -g**3/5 - 14*g**2/5 - 44*g/5 - 8 = 0. Calculate g.
-10, -2
Let -3*h**2/5 + 177*h/5 - 342/5 = 0. Calculate h.
2, 57
Let 2*n**5 + 50*n**4 + 336*n**3 + 288*n**2 = 0. Calculate n.
-12, -1, 0
Factor -10*w**3/9 + 908*w**2/3 + 182*w.
-2*w*(w - 273)*(5*w + 3)/9
Factor 2*l**2 + 58*l - 124.
2*(l - 2)*(l + 31)
Suppose -5*l**5 + 40*l**4 - 105*l**3 + 70*l**2 + 100*l - 120 = 0. What is l?
-1, 2, 3
Determine c, given that 5*c**2 + 3140*c + 492980 = 0.
-314
Factor 4*p**4 - 132*p**3 + 1012*p**2 + 1428*p - 2312.
4*(p - 17)**2*(p - 1)*(p + 2)
Determine c so that -2*c**2/9 - 34*c/9 + 220/9 = 0.
-22, 5
Let -4*f**4 + 16*f**3 + 4*f**2 - 64*f + 48 = 0. What is f?
-2, 1, 2, 3
Determine j, given that -14*j**4 + 32*j**3 - 4*j**2 - 32*j + 18 = 0.
-1, 1, 9/7
Let -3*x**2 - 186*x = 0. Calculate x.
-62, 0
Factor -3*v**3/2 + 405*v**2 + 3*v/2 - 405.
-3*(v - 270)*(v - 1)*(v + 1)/2
Suppose 2*f**3 - 302*f**2 + 11840*f - 32856 = 0. What is f?
3, 74
Factor -5*x**5 - 15*x**4 - 10*x**3 + 10*x**2 + 15*x + 5.
-5*(x - 1)*(x + 1)**4
Factor 3*q**4/7 + 645*q**3/7 + 34989*q**2/7 + 34347*q/7.
3*q*(q 