 28*j**2 - 164*j - 24.
4*(j - 6)*(7*j + 1)
Factor 5*l**2/6 - 215*l/6 - 115.
5*(l - 46)*(l + 3)/6
Factor -4*w**3 + 224*w**2 - 436*w + 216.
-4*(w - 54)*(w - 1)**2
Determine b, given that 6*b**5/17 + 14*b**4/17 + 6*b**3/17 - 6*b**2/17 - 4*b/17 = 0.
-1, 0, 2/3
Factor -n**5 - 6*n**4 - 5*n**3.
-n**3*(n + 1)*(n + 5)
Determine h, given that -5*h**4/4 - 201*h**3/2 - 8545*h**2/4 - 4641*h - 1521 = 0.
-39, -2, -2/5
Factor j**4/3 + 11*j**3/3 + 13*j**2 + 49*j/3 + 20/3.
(j + 1)**2*(j + 4)*(j + 5)/3
Find h such that 5*h**2 - 95*h + 170 = 0.
2, 17
Suppose 2*k**4/11 - 68*k**3/11 + 78*k**2 - 4760*k/11 + 9800/11 = 0. Calculate k.
7, 10
Factor 2*q**2/5 - 2934*q/5 + 1172.
2*(q - 1465)*(q - 2)/5
Factor -x**4/5 + 7*x**3/5 - x**2/5 - 27*x/5 - 18/5.
-(x - 6)*(x - 3)*(x + 1)**2/5
Solve 6*n**5/7 - 18*n**4/7 - 12*n**3 + 108*n**2/7 + 78*n/7 - 90/7 = 0 for n.
-3, -1, 1, 5
Factor q**2 - 27*q + 162.
(q - 18)*(q - 9)
Factor x**2/3 + 15*x + 350/3.
(x + 10)*(x + 35)/3
Determine n, given that -15*n**5/4 + 25*n**4 - 205*n**3/4 + 25*n**2 + 15*n = 0.
-1/3, 0, 2, 3
Solve 2*q**4 - 3930*q**3 - 7866*q**2 - 3934*q = 0.
-1, 0, 1967
Solve 7*o**3/4 + 1773*o**2/4 + 1439*o + 375 = 0 for o.
-250, -3, -2/7
Find f, given that f**5/5 + 34*f**4/5 + 433*f**3/5 + 2556*f**2/5 + 6912*f/5 + 6912/5 = 0.
-12, -8, -3
Determine g, given that 2*g**5/15 + 14*g**4/15 + 14*g**3/15 - 46*g**2/15 - 88*g/15 - 8/3 = 0.
-5, -2, -1, 2
Let 3*k**2/2 + 60*k - 126 = 0. What is k?
-42, 2
Factor -7*i**4 + 25*i**3 + 7*i**2 - 25*i.
-i*(i - 1)*(i + 1)*(7*i - 25)
Let 64*n**3/3 + 944*n**2/3 - 239*n/3 + 5 = 0. Calculate n.
-15, 1/8
Suppose 4*r**4 + 28*r**3/5 - 232*r**2/5 - 96*r/5 = 0. Calculate r.
-4, -2/5, 0, 3
Factor 2*f**2 - 34*f.
2*f*(f - 17)
Determine g, given that 46*g**3/7 + 50*g**2/7 + 4*g/7 = 0.
-1, -2/23, 0
Factor -2*t**4 + 16*t**3 - 14*t**2.
-2*t**2*(t - 7)*(t - 1)
Find t such that -12*t**5/7 - 32*t**4/7 + 128*t**3/7 - 72*t**2/7 - 52*t/7 + 40/7 = 0.
-5, -2/3, 1
Solve 8*q**3 + 308*q**2 + 992*q + 420 = 0 for q.
-35, -3, -1/2
Factor -d**3 - 17*d**2 + 80*d - 84.
-(d - 2)**2*(d + 21)
Factor -15*w**3 - 5*w**2.
-5*w**2*(3*w + 1)
Determine d, given that -3*d**3/5 - 38*d**2/5 - 19*d + 36/5 = 0.
-9, -4, 1/3
Suppose -n**2/5 - 9*n/5 - 8/5 = 0. Calculate n.
-8, -1
Let 2*v**4/3 - 38*v**3/3 + 20*v**2 + 152*v/3 - 272/3 = 0. What is v?
-2, 2, 17
Determine d, given that 5*d**3 + 90*d**2 - 5*d - 90 = 0.
-18, -1, 1
Determine m, given that m**2/6 + 12*m - 74/3 = 0.
-74, 2
Factor -y**2 - 3204*y - 2566404.
-(y + 1602)**2
Factor 4*x**5 + 12*x**4 - 208*x**3 + 640*x**2 - 768*x + 320.
4*(x - 2)**3*(x - 1)*(x + 10)
Determine a so that 2*a**2 - 34*a/3 - 4 = 0.
-1/3, 6
Factor 4*v**4/9 - 52*v**3/3 + 704*v**2/9 - 272*v/3.
4*v*(v - 34)*(v - 3)*(v - 2)/9
Suppose -8*f**5/5 - 26*f**4 + 408*f**3/5 - 194*f**2/5 - 76*f/5 = 0. What is f?
-19, -1/4, 0, 1, 2
Factor -20*m**3 - 365*m**2 - 90*m.
-5*m*(m + 18)*(4*m + 1)
Factor 2*r**3/7 + 16*r**2/7 - 88*r/7 + 96/7.
2*(r - 2)**2*(r + 12)/7
Suppose 3*v**3 - 819*v**2 - 2478*v - 1656 = 0. What is v?
-2, -1, 276
Suppose 25*i**5/9 + 715*i**4/3 + 20158*i**3/3 + 534818*i**2/9 - 236321*i/3 + 24389 = 0. What is i?
-29, 3/5
Solve -2*k**3/3 + 8*k/3 = 0 for k.
-2, 0, 2
What is c in 2*c**2/17 + 76*c/17 = 0?
-38, 0
Solve 2*x**3/5 - 10*x**2 + 374*x/5 - 726/5 = 0 for x.
3, 11
Factor 2*f**3/9 + 220*f**2/9 - 446*f/9 + 224/9.
2*(f - 1)**2*(f + 112)/9
Determine x so that -3*x**5 - 6*x**4 - 3*x**3 = 0.
-1, 0
Factor n**5 + 9*n**4 + 27*n**3 + 31*n**2 + 12*n.
n*(n + 1)**2*(n + 3)*(n + 4)
Suppose -j**3/7 + 2*j**2/7 + 11*j/7 - 12/7 = 0. What is j?
-3, 1, 4
Factor -2*p**3/7 + 36*p**2/7 + 2*p/7 - 36/7.
-2*(p - 18)*(p - 1)*(p + 1)/7
Find j, given that 2*j**4/15 + 8*j**3/5 - 58*j**2/15 - 8*j/5 + 56/15 = 0.
-14, -1, 1, 2
Let f**2/3 + 32*f/3 + 175/3 = 0. What is f?
-25, -7
Factor 2*v**5/7 + 372*v**4/7 + 16538*v**3/7 - 70680*v**2/7 + 72200*v/7.
2*v*(v - 2)**2*(v + 95)**2/7
Factor 4*f**4 + 36*f**3 + 28*f**2 - 180*f + 112.
4*(f - 1)**2*(f + 4)*(f + 7)
Factor u**3/10 + 2*u**2/5 + u/10 - 3/5.
(u - 1)*(u + 2)*(u + 3)/10
Factor -2*o**2 + 70*o + 72.
-2*(o - 36)*(o + 1)
Factor 2*y**3/7 - 166*y**2/7 + 326*y/7 - 162/7.
2*(y - 81)*(y - 1)**2/7
Find o, given that 2*o**4/11 - 92*o**3/11 + 344*o**2/11 - 336*o/11 = 0.
0, 2, 42
Find s, given that s**3/3 - 7*s**2/3 = 0.
0, 7
Factor -2*u**2 - 4564*u - 2603762.
-2*(u + 1141)**2
Factor 2*o**5/11 - 42*o**4/11 + 148*o**3/11 - 212*o**2/11 + 138*o/11 - 34/11.
2*(o - 17)*(o - 1)**4/11
Factor 2*m**3/7 + 466*m**2/7 + 1384*m/7 + 920/7.
2*(m + 1)*(m + 2)*(m + 230)/7
Factor -245*f**2 + 7420*f - 56180.
-5*(7*f - 106)**2
Factor -4*h**3 + 24*h**2 + 4*h - 24.
-4*(h - 6)*(h - 1)*(h + 1)
Factor 10*v**3 + 51*v**2 + 3*v - 10.
(v + 5)*(2*v + 1)*(5*v - 2)
Factor -2*p**2 - 12*p + 32.
-2*(p - 2)*(p + 8)
Factor d**5/3 - 2*d**4/3 - 4*d**3/3 + 8*d**2/3.
d**2*(d - 2)**2*(d + 2)/3
Suppose -2*k**4/11 - 680*k**3/11 - 56422*k**2/11 + 21328*k - 177504/11 = 0. Calculate k.
-172, 1, 3
Let h**5/5 - 2*h**4/5 - 66*h**3/5 + 432*h**2/5 - 999*h/5 + 162 = 0. Calculate h.
-10, 3
Find i, given that i**3/7 + 108*i**2/7 + 317*i/7 + 30 = 0.
-105, -2, -1
Factor 12*x**4 + 592*x**3 + 188*x**2 - 392*x.
4*x*(x + 1)*(x + 49)*(3*x - 2)
Factor -z**2/6 - 22*z/3.
-z*(z + 44)/6
Determine x, given that x**5/3 - 8*x**4/3 - x**3/3 + 68*x**2/3 - 28*x = 0.
-3, 0, 2, 7
Factor 2*q**2/3 + 46*q/3 - 100/3.
2*(q - 2)*(q + 25)/3
Solve -15*g**4 + 25*g**3 - 5*g**2 - 5*g = 0.
-1/3, 0, 1
Suppose -m**2 - 54*m - 53 = 0. Calculate m.
-53, -1
What is h in 8*h**5/3 - 4*h**4 - 125*h**3/2 - 385*h**2/6 + 44*h - 6 = 0?
-3, -2, 1/4, 6
Factor 2*u**2 + 12116*u + 18349682.
2*(u + 3029)**2
Let -30*y**5 - 365*y**4 - 680*y**3 - 285*y**2 + 160*y + 100 = 0. What is y?
-10, -1, -2/3, 1/2
Find b such that -20*b**5 + 212*b**4 - 572*b**3 - 84*b**2 + 1152*b + 432 = 0.
-1, -2/5, 3, 6
Factor n**3/6 - 18*n**2 - 2*n/3 + 72.
(n - 108)*(n - 2)*(n + 2)/6
Let 5*r**3 + 1150*r**2 + 1145*r = 0. What is r?
-229, -1, 0
Factor -9*q**3 - 435*q**2 - 144*q.
-3*q*(q + 48)*(3*q + 1)
Determine t so that 3*t**4 + 18*t**3 - 33*t**2 - 180*t + 300 = 0.
-5, 2
Determine j so that 2*j**4/3 - 26*j**3/3 + 28*j**2 = 0.
0, 6, 7
Suppose -2*x**5/17 - 16*x**4/17 - 22*x**3/17 + 16*x**2/17 + 24*x/17 = 0. What is x?
-6, -2, -1, 0, 1
Let -5*j**2 + 1355*j = 0. What is j?
0, 271
Suppose -18*c**4 - 177*c**3 - 375*c**2 - 102*c + 168 = 0. What is c?
-7, -2, -4/3, 1/2
Determine g, given that -2*g**2/5 + 2626*g/5 + 2628/5 = 0.
-1, 1314
Let -t**5/8 + t**4/2 + 11*t**3/8 + 3*t**2/4 = 0. What is t?
-1, 0, 6
Factor w**4/6 - 17*w**3/6 + 29*w**2/2 - 95*w/6 - 100/3.
(w - 8)*(w - 5)**2*(w + 1)/6
Solve -m**2/3 - 196*m/3 - 65 = 0 for m.
-195, -1
Factor -3*r**5/5 + 144*r**4/5 - 1866*r**3/5 + 3312*r**2/5 - 1587*r/5.
-3*r*(r - 23)**2*(r - 1)**2/5
Factor l**3/6 + 455*l**2/2 + 77748*l + 232562/3.
(l + 1)*(l + 682)**2/6
Factor -3*c**2 + 240*c + 1008.
-3*(c - 84)*(c + 4)
Let 3*l**3/2 - 39*l**2/2 + 84*l - 120 = 0. What is l?
4, 5
Factor 14*b**5 + 108*b**4 + 220*b**3 + 152*b**2 + 6*b - 20.
2*(b + 1)**3*(b + 5)*(7*b - 2)
Let -x**2 + 6*x + 27 = 0. What is x?
-3, 9
Factor -75*v**3 - 144*v**2 + 12*v.
-3*v*(v + 2)*(25*v - 2)
Let -q**2/6 - 39*q/2 - 58/3 = 0. Calculate q.
-116, -1
Factor 5*w**2 + 165*w + 160.
5*(w + 1)*(w + 32)
Determine u, given that 2*u**5/9 + 254*u**4/9 + 1034*u**3 + 22090*u**2/9 - 2907044*u/9 = 0.
-47, 0, 14
Factor 6*q**3/7 + 22*q**2/7 + 4*q/7 - 32/7.
2*(q - 1)*(q + 2)*(3*q + 8)/7
Determine v so that 12*v**5/5 + 131*v**4/5 - 492*v**3/5 + 73*v**2 + 12*v/5 - 28/5 = 0.
-14, -1/4, 1/3, 1, 2
What is r in 4*r**2 - 200*r + 2500 = 0?
25
Factor 4*y**4 + 168*y**3 + 288*y**2 - 1280*y.
4*y*(y - 2)*(y + 4)*(y + 40)
Let -8*l**4/9 - 22*l**3/9 + 14*l**2/9 + 22*l/9 - 2/3 = 0. What is l?
-3, -1, 1/4, 1
Factor 3*s**2 + 51*s - 54.
3*(s - 1)*(s + 18)
Determine j so that -3*j**2 - 9444*j - 7432428 = 0.
-1574
Suppose -b**3 + 519*b**2 - 1035*b + 517 = 0. Calculate b.
1, 517
Factor -2*h**3 + 36*h**2 - 216*h + 432.
-2*(h - 6)**3
Let -4*c**2 + 36*c + 40 = 0. Calculate c.
-1, 10
Factor 3*r**2/2 + 3*r - 12.
3*(r - 2)*(r + 4)/2
Factor -5*n**2 - 50*n + 55.
-5*(n - 1)*(n + 11)
Factor -4*f**2 - 40*f - 64.
-4*(f + 2)*(f + 8)
Let -u**3/6 - 1471*u**2/3 - 1080448*u/3 + 2166784/3 = 0. What is u?
-1472, 2
Find r such that r**3 + 58*r**2 - r - 58 = 0.
-58, -1, 1
Solve -p**4 - 2*p**3 + 4*p**2 + 