lve -13*k**3/5 + 43*k**2/5 - 6*k = 0 for k.
0, 1, 30/13
Factor 4*i**5 - 24*i**4 + 44*i**3 - 24*i**2.
4*i**2*(i - 3)*(i - 2)*(i - 1)
Factor 3*z**4 - 18*z**3 - 3*z**2 + 18*z.
3*z*(z - 6)*(z - 1)*(z + 1)
Factor 2*l**2/3 + 8*l/3 - 10/3.
2*(l - 1)*(l + 5)/3
Factor -c**3 + 7*c - 6.
-(c - 2)*(c - 1)*(c + 3)
Find k such that -18*k**5 - 84*k**4 + 64*k**3 + 156*k**2 - 78*k - 40 = 0.
-5, -4/3, -1/3, 1
Factor i**3/2 - i**2/2 - 5*i/2 - 3/2.
(i - 3)*(i + 1)**2/2
Let -44*h**2 - 268*h - 240 = 0. Calculate h.
-5, -12/11
Suppose -5*t**3 + 5*t**2 + 220*t - 420 = 0. What is t?
-7, 2, 6
Factor -w**2/2 + 253*w - 64009/2.
-(w - 253)**2/2
Find t, given that -4*t**3/5 + 14*t**2/5 + 154*t/5 + 136/5 = 0.
-4, -1, 17/2
Factor -4*c**3/3 - 40*c**2/3 + 1232*c/3 + 4704.
-4*(c - 18)*(c + 14)**2/3
Factor 4*u**3 - 108*u**2 + 972*u - 2916.
4*(u - 9)**3
Let -2*k**4/11 - 4*k**3 - 280*k**2/11 - 436*k/11 - 18 = 0. What is k?
-11, -9, -1
Factor 5*z**2/4 - 3320*z + 2204480.
5*(z - 1328)**2/4
Determine f so that -3*f**3 - 54*f**2 + 120*f = 0.
-20, 0, 2
Factor 5*j**2 + 60*j.
5*j*(j + 12)
Suppose 2*j**4/17 - 2*j**3/17 - 10*j**2/17 - 6*j/17 = 0. What is j?
-1, 0, 3
Solve -f**5/11 - 3*f**4/11 + 10*f**3/11 = 0 for f.
-5, 0, 2
Let 2*a**4 + 272*a**3 - 1680*a**2 + 3392*a - 2272 = 0. What is a?
-142, 2
Factor -16*o**3 + 44*o**2 - 40*o + 12.
-4*(o - 1)**2*(4*o - 3)
Factor -5*i**3 + 15*i**2 - 15*i + 5.
-5*(i - 1)**3
Determine v so that v**2/4 + 13*v/4 = 0.
-13, 0
Factor -3*b**2 - 3714*b - 1149483.
-3*(b + 619)**2
Determine x, given that x**5/4 - 3*x**4/4 - 3*x**3/2 + 2*x**2 = 0.
-2, 0, 1, 4
Factor 5*x**3 + 1005*x**2 + 2980*x + 1980.
5*(x + 1)*(x + 2)*(x + 198)
Factor 5*l**4 + 5*l**3 - 15*l**2 - 25*l - 10.
5*(l - 2)*(l + 1)**3
Factor -v**2/7 - 23*v/7.
-v*(v + 23)/7
Let 5*d**3 - 20*d**2 - 185*d + 200 = 0. What is d?
-5, 1, 8
Let -8*z**4 + 700*z**3 + 1784*z**2 + 1436*z + 360 = 0. What is z?
-1, -1/2, 90
Determine c, given that -9*c**4 + 15*c**3 - 6*c**2 = 0.
0, 2/3, 1
Factor 2*s**2 + 808*s + 81608.
2*(s + 202)**2
Suppose -2*q**2/3 - 62*q/3 + 208 = 0. Calculate q.
-39, 8
Factor 3*r**4/7 - 204*r**3/7 + 57*r**2 - 198*r/7.
3*r*(r - 66)*(r - 1)**2/7
Factor -2*b**2/3 - 20*b/3 - 14.
-2*(b + 3)*(b + 7)/3
Factor 2*d**3/17 + 262*d**2/17 + 1248*d/17 - 1512/17.
2*(d - 1)*(d + 6)*(d + 126)/17
Suppose -2444*y**4 - 2120*y**3 + 332*y**2 + 8*y = 0. Calculate y.
-1, -1/47, 0, 2/13
Find z, given that 4*z**2/7 - 2524*z/7 = 0.
0, 631
Factor -d**4 - 6*d**3 - 9*d**2.
-d**2*(d + 3)**2
Factor 5*c**2/6 - 71*c/3 + 323/2.
(c - 17)*(5*c - 57)/6
Factor 3*d**3/2 + 51*d**2 + 96*d.
3*d*(d + 2)*(d + 32)/2
Factor 2*z**4 - 124*z**3.
2*z**3*(z - 62)
Factor 3*u**4 - 6*u**3 - 12*u**2 + 6*u + 9.
3*(u - 3)*(u - 1)*(u + 1)**2
Factor -s**3/2 - 27*s**2/2 - 85*s.
-s*(s + 10)*(s + 17)/2
Determine m so that 2*m**3/3 - 2*m**2/3 = 0.
0, 1
Let -2*a**2/9 - 17144*a/9 - 36739592/9 = 0. Calculate a.
-4286
Find v such that -v**2/2 + 33*v - 1089/2 = 0.
33
Factor -2*r**3/9 + 22*r**2/9 + 28*r/3.
-2*r*(r - 14)*(r + 3)/9
Let 2*x**3/7 + 44*x**2/7 + 312*x/7 + 720/7 = 0. Calculate x.
-10, -6
Factor -2*c**2/3 - 3232*c/3 - 1305728/3.
-2*(c + 808)**2/3
Determine g so that -2*g**2/3 + 14*g/3 + 16/3 = 0.
-1, 8
Let 3*x**4/5 + 73*x**3/5 + 156*x**2/5 + 44*x/5 = 0. What is x?
-22, -2, -1/3, 0
Suppose 2*h**3 + 194*h**2 + 192*h = 0. Calculate h.
-96, -1, 0
Find z, given that 4*z**3 + 28*z**2 + 44*z + 20 = 0.
-5, -1
Factor -3*n**3/4 + 351*n**2/4 - 423*n + 336.
-3*(n - 112)*(n - 4)*(n - 1)/4
Determine q, given that 1156*q**4 - 6664*q**3 + 8788*q**2 + 2352*q + 144 = 0.
-2/17, 3
Factor -u**4 - 4*u**3 - u**2 + 6*u.
-u*(u - 1)*(u + 2)*(u + 3)
Factor -5*n**2/4 - 45*n/2 - 225/4.
-5*(n + 3)*(n + 15)/4
Factor i**5/6 - i**3/2 + i**2/3.
i**2*(i - 1)**2*(i + 2)/6
Let -3*f**4/2 + 12*f**3 + 3*f**2/2 - 102*f - 90 = 0. What is f?
-2, -1, 5, 6
Solve -u**4 - 20*u**3 - 114*u**2 - 108*u + 243 = 0.
-9, -3, 1
What is l in -4*l**4 - 34*l**3 - 92*l**2 - 86*l - 24 = 0?
-4, -3, -1, -1/2
Factor -p**3 - 33*p**2 - 288*p - 256.
-(p + 1)*(p + 16)**2
Factor -5*w**2/6 - 995*w - 594015/2.
-5*(w + 597)**2/6
Factor -a**2/4 - 13*a/2 + 68.
-(a - 8)*(a + 34)/4
Suppose 8*i**4/11 - 14*i**3/11 - 236*i**2/11 + 182*i/11 + 60/11 = 0. What is i?
-5, -1/4, 1, 6
Solve -2*r**3/9 + 164*r**2/9 - 2002*r/9 + 6664/9 = 0.
7, 68
Factor -7*l**2/2 - 205*l/2 - 29.
-(l + 29)*(7*l + 2)/2
Factor 21*q**3 + 1455*q**2 + 3228*q + 804.
3*(q + 2)*(q + 67)*(7*q + 2)
Solve -q**2 - 673*q - 3340 = 0 for q.
-668, -5
Factor -4*b**4 - 3432*b**3 - 736164*b**2.
-4*b**2*(b + 429)**2
Suppose -2*p**2/15 + 38*p/15 - 176/15 = 0. What is p?
8, 11
Factor z**2/3 - 100*z + 299/3.
(z - 299)*(z - 1)/3
Find p, given that -2*p**3 + 140*p**2 - 1394*p - 40344 = 0.
-12, 41
Factor -46*b**2/7 + 4*b + 18/7.
-2*(b - 1)*(23*b + 9)/7
Factor a**2/2 + 46*a + 1058.
(a + 46)**2/2
Determine o so that -4*o**4 + 2208*o**3 + 4*o**2 - 2208*o = 0.
-1, 0, 1, 552
Factor 2*u**3/9 - 32*u**2/3 + 128*u.
2*u*(u - 24)**2/9
Determine o, given that -5*o**3 + 205*o**2 - 200*o = 0.
0, 1, 40
Solve 2*r**2 + 7042*r - 14092 = 0.
-3523, 2
Solve -3*l**3 - 78*l**2 - 405*l + 486 = 0 for l.
-18, -9, 1
What is t in 2*t**5/7 - 22*t**3/7 - 36*t**2/7 - 16*t/7 = 0?
-2, -1, 0, 4
Factor z**2 - 222*z + 12321.
(z - 111)**2
What is p in -4*p**2 + 240*p - 896 = 0?
4, 56
Let 2*g**5/5 - 54*g**4/5 - 174*g**3/5 - 178*g**2/5 - 12*g = 0. What is g?
-1, 0, 30
Find w such that -3*w**4/2 - 1194*w**3 - 238797*w**2 - 474018*w - 472827/2 = 0.
-397, -1
Find c, given that 2*c**3 + 80*c**2 - 534*c + 828 = 0.
-46, 3
Determine x so that 2*x**2/7 + 384*x/7 - 386/7 = 0.
-193, 1
Factor -3*z**3 + 162*z**2 - 564*z - 1800.
-3*(z - 50)*(z - 6)*(z + 2)
Factor n**5/3 - n**4 + n**3 - n**2/3.
n**2*(n - 1)**3/3
Suppose 4*u**3 + 40*u**2 + 84*u = 0. What is u?
-7, -3, 0
Factor 2*j**2/11 + 146*j/11 - 300/11.
2*(j - 2)*(j + 75)/11
Factor -w**3 + 9*w**2 - 15*w + 7.
-(w - 7)*(w - 1)**2
Factor -4*p**2/9 - 944*p/9.
-4*p*(p + 236)/9
Solve 2*t**5 - 80*t**4 + 936*t**3 - 2592*t**2 = 0.
0, 4, 18
Let 34*x**5/3 + 344*x**4/3 + 1264*x**3/3 + 660*x**2 + 378*x + 36 = 0. What is x?
-3, -1, -2/17
Suppose 18*b**5 - 66*b**4 - 1006*b**3 - 1470*b**2 + 1324*b - 240 = 0. What is b?
-4, -3, 1/3, 10
Factor -39*y**3 - 144*y**2 - 159*y - 54.
-3*(y + 1)*(y + 2)*(13*y + 9)
Factor 2*g**4/13 - 450*g**3/13 + 448*g**2/13.
2*g**2*(g - 224)*(g - 1)/13
Find d, given that -d**2/4 + 1578*d - 2490084 = 0.
3156
Factor -w**2 - 2197*w.
-w*(w + 2197)
Factor s**2 + 2*s + 1.
(s + 1)**2
Suppose 3*z**5/8 + 3*z**4/8 - 33*z**3 + 51*z**2/2 + 180*z = 0. Calculate z.
-10, -2, 0, 3, 8
Solve 3*w**5 - 18*w**4 - 33*w**3 + 72*w**2 + 84*w = 0 for w.
-2, -1, 0, 2, 7
Factor y**2/7 + 282*y/7 + 19881/7.
(y + 141)**2/7
Solve 5*c**5 + 5*c**4 - 10*c**3 - 10*c**2 + 5*c + 5 = 0.
-1, 1
Factor 4*p**2/3 - 136*p/3 + 44.
4*(p - 33)*(p - 1)/3
Let -x**5 - 369*x**4 - 33479*x**3 + 104157*x**2 + 33480*x - 103788 = 0. Calculate x.
-186, -1, 1, 3
Factor 5*g**4 + 85*g**3 + 70*g**2 - 160*g.
5*g*(g - 1)*(g + 2)*(g + 16)
Factor -14*q**3 - 48*q**2 - 24*q + 32.
-2*(q + 2)**2*(7*q - 4)
Determine k, given that -14*k**2/3 + 6*k - 4/3 = 0.
2/7, 1
Let -2*i**5/7 + 8*i**4 + 64*i**3/7 - 5888*i**2/7 - 33280*i/7 - 51200/7 = 0. Calculate i.
-4, 20
Factor -2*p**4 + 48*p**3 - 234*p**2 - 676*p.
-2*p*(p - 13)**2*(p + 2)
Factor 1269*q**2 + 864*q + 12.
3*(3*q + 2)*(141*q + 2)
Find t such that -5*t**4 - 15*t**3 + 5*t**2 + 15*t = 0.
-3, -1, 0, 1
Determine i, given that i**4 - 9*i**3 - i**2 + 9*i = 0.
-1, 0, 1, 9
Factor 3*d**4 + 77*d**3 - 28*d**2 - 52*d.
d*(d - 1)*(d + 26)*(3*d + 2)
Factor 2*k**2/11 - 96*k/11 - 200/11.
2*(k - 50)*(k + 2)/11
Solve -2*h**2/7 - 4288*h/7 - 1224 = 0.
-2142, -2
Factor 5*l**5/2 + 1590*l**4 + 508785*l**3/2 + 502445*l**2.
5*l**2*(l + 2)*(l + 317)**2/2
Determine g, given that 4*g**2 - 176*g - 368 = 0.
-2, 46
Suppose 3*w**5/2 - 30*w**4 - 531*w**3/2 + 6870*w**2 - 15936*w - 23040 = 0. Calculate w.
-15, -1, 4, 16
Factor -3*t**2 + 651*t.
-3*t*(t - 217)
Determine c, given that c**2/3 - 227*c/3 - 1160/3 = 0.
-5, 232
Determine q, given that 3*q**2 + 198*q - 201 = 0.
-67, 1
Factor t**4 - 9*t**3 + 6*t**2 + 16*t.
t*(t - 8)*(t - 2)*(t + 1)
Factor 2*w**3/9 + 8*w**2 + 136*w/9.
2*w*(w + 2)*(w + 34)/9
Factor 3*v**3/8 - 54*v**2 + 429*v/8.
3*v*(v - 143)*(v - 1)/8
Suppose 3*a**4 - 27*a**3 - 87*a**2 + 783*a + 840 = 0. Calculate a.
-5, -1,