Let -3*u**5/2 + 149*u**4/2 - 383*u**3/2 + 331*u**2/2 - 47*u = 0. Calculate u.
0, 2/3, 1, 47
Find z, given that 5*z**3 - 85*z**2 - 420*z = 0.
-4, 0, 21
Determine n so that 3*n**3 - 180*n**2 + 3600*n - 24000 = 0.
20
Factor 4*f**3/9 - 724*f**2/9 + 712*f/9 + 160.
4*(f - 180)*(f - 2)*(f + 1)/9
Suppose -3*g**4 - 702*g**3 - 2061*g**2 + 4182*g + 5544 = 0. What is g?
-231, -4, -1, 2
Factor -3*h**2 - 483*h - 8820.
-3*(h + 21)*(h + 140)
Solve 2*h**2/9 + 4816*h/9 + 2899232/9 = 0.
-1204
Suppose 2*p**2/11 - 42*p/11 - 4 = 0. What is p?
-1, 22
Factor -2*x**3 - 200*x**2 + 206*x + 404.
-2*(x - 2)*(x + 1)*(x + 101)
Factor -h**4/4 - 2*h**3.
-h**3*(h + 8)/4
Factor b**2/2 - 11*b + 105/2.
(b - 15)*(b - 7)/2
Determine w, given that -3*w**2 - 123*w = 0.
-41, 0
Suppose -2*m**2 - 30*m + 1088 = 0. What is m?
-32, 17
Factor -r**3/5 - 8*r**2/5 + 9*r/5.
-r*(r - 1)*(r + 9)/5
Let -180*s**4 - 1940*s**3 - 1405*s**2 - 40*s + 100 = 0. What is s?
-10, -1/2, 2/9
Solve 54*n**3 - 135*n**2 + 225*n/2 - 125/4 = 0 for n.
5/6
Let -162*c**4 + 234*c**3 + 1864*c**2 - 856*c + 96 = 0. Calculate c.
-3, 2/9, 4
Factor -10*l**3 + 54265*l**2 - 73630820*l + 36801845.
-5*(l - 2713)**2*(2*l - 1)
What is d in -5*d**4 + 610*d**3 - 15260*d**2 - 207240*d - 348480 = 0?
-8, -2, 66
Factor -3*c**4 - 18*c**3 - 24*c**2 + 18*c + 27.
-3*(c - 1)*(c + 1)*(c + 3)**2
Factor m**4/7 + 1401*m**3/7 + 654267*m**2/7 + 101847563*m/7.
m*(m + 467)**3/7
Factor 2*u**3/15 - 38*u**2/15 + 14*u/3 - 34/15.
2*(u - 17)*(u - 1)**2/15
Suppose 2*x**4/7 - 38*x**2/7 - 12*x/7 + 144/7 = 0. What is x?
-3, 2, 4
Find q such that -196*q**4 + 15988*q**3 - 301128*q**2 - 1018240*q - 700928 = 0.
-2, -1, 296/7
Solve 25*s**4 - 1815*s**3 + 7770*s**2 + 3400*s = 0.
-2/5, 0, 5, 68
Suppose -10*m**4 - 64*m**3/7 + 150*m**2/7 - 8*m/7 - 8/7 = 0. Calculate m.
-2, -1/5, 2/7, 1
Find m such that -3*m**5 + 78*m**4 - 54*m**3 - 564*m**2 + 993*m - 450 = 0.
-3, 1, 2, 25
Factor -9*n**3 - 3364*n**2 - 313973*n + 69938.
-(n + 187)**2*(9*n - 2)
Let -2*g**4 + 124*g**3 + 1094*g**2 + 1808*g + 840 = 0. What is g?
-6, -1, 70
Let j**2/7 - 2284*j/7 + 1304164/7 = 0. What is j?
1142
Factor 3*x**2 + 99*x + 186.
3*(x + 2)*(x + 31)
Factor 20*l**3 + 359*l**2/3 + 158*l - 8/3.
(l + 2)*(l + 4)*(60*l - 1)/3
Factor 2*j**3/5 + 8*j**2/5 - 78*j/5 - 252/5.
2*(j - 6)*(j + 3)*(j + 7)/5
Determine l so that l**4/3 + 10*l**3/3 - 71*l**2/3 + 20*l = 0.
-15, 0, 1, 4
What is a in a**4/5 + 6*a**3/5 - a**2/5 - 6*a/5 = 0?
-6, -1, 0, 1
Factor y**2 + 5480*y + 7507600.
(y + 2740)**2
Factor 4*n**4/5 - 12*n**3/5 - 92*n**2/5 - 132*n/5 - 56/5.
4*(n - 7)*(n + 1)**2*(n + 2)/5
What is y in 2*y**3/3 - 14*y - 40/3 = 0?
-4, -1, 5
Factor -2*t**2 + 2744*t.
-2*t*(t - 1372)
Suppose -n**5/4 + n**4/4 + 9*n**3/4 - n**2/4 - 5*n - 3 = 0. Calculate n.
-2, -1, 2, 3
Factor -147*d**4 + 546*d**3 + 501*d**2 - 1872*d - 1728.
-3*(d - 3)**2*(7*d + 8)**2
Factor 54*q**2/5 - 106*q/5 - 4/5.
2*(q - 2)*(27*q + 1)/5
Factor 5*j**2 - 180*j.
5*j*(j - 36)
Solve -m**3/6 + 91*m**2/6 - 179*m/6 + 89/6 = 0.
1, 89
Let -2*d**5 + 112*d**4 - 2040*d**3 + 10868*d**2 + 26714*d - 82308 = 0. Calculate d.
-3, 2, 19
Solve -k**3/10 - 10*k**2 + 424*k/5 - 864/5 = 0.
-108, 4
Factor -5*w**5/6 - 8*w**4/3 - 7*w**3/3 + 2*w**2/3 + 11*w/6 + 2/3.
-(w + 1)**4*(5*w - 4)/6
Determine z, given that -5*z**5 - 80*z**4 - 285*z**3 + 530*z**2 + 1760*z - 1920 = 0.
-8, -3, 1, 2
What is t in 5*t**4 - 40*t**3 - 5*t**2 + 340*t - 420 = 0?
-3, 2, 7
Suppose -2*f**2/13 - 152*f/13 - 2888/13 = 0. What is f?
-38
Factor -4*b**3 - 12*b**2 + 16*b.
-4*b*(b - 1)*(b + 4)
Factor -2*b**2/3 + 36*b + 110/3.
-2*(b - 55)*(b + 1)/3
Factor -b**3/6 + 61*b**2/6 - 29*b/3 - 20.
-(b - 60)*(b - 2)*(b + 1)/6
Factor -245*s**3 - 3080*s**2 - 1700*s - 240.
-5*(s + 12)*(7*s + 2)**2
Factor 4*x**2 - 152*x.
4*x*(x - 38)
Factor -3*w**2/7 + 570*w/7 - 27075/7.
-3*(w - 95)**2/7
Factor c**4/4 - 35*c**3/4 - c**2 + 35*c.
c*(c - 35)*(c - 2)*(c + 2)/4
Factor 4*h**4 - 8*h**3 + 8*h - 4.
4*(h - 1)**3*(h + 1)
Find l, given that -5*l**5/3 - 7*l**4/3 + l**3 + 7*l**2/3 + 2*l/3 = 0.
-1, -2/5, 0, 1
Factor -4*i**4 - 152*i**3 - 432*i**2 - 424*i - 140.
-4*(i + 1)**3*(i + 35)
Factor 2*q**4/7 + 6*q**3/7 + 6*q**2/7 + 2*q/7.
2*q*(q + 1)**3/7
Factor 4*n**2 - 140*n - 144.
4*(n - 36)*(n + 1)
Solve 3*f**4 - 210*f**3 + 3231*f**2 + 15540*f + 16428 = 0.
-2, 37
Factor -2*g**4/3 + 768*g**3 - 223476*g**2 + 1320192*g - 1969974.
-2*(g - 573)**2*(g - 3)**2/3
Let 2*d**2 - 1540*d = 0. Calculate d.
0, 770
Determine o, given that 2*o**3/7 - 8*o**2 = 0.
0, 28
What is t in t**5/10 + 11*t**4/10 + 19*t**3/10 + 9*t**2/10 = 0?
-9, -1, 0
Factor -z**2 - 446*z - 49729.
-(z + 223)**2
Factor 49*r**3/3 + 308*r**2/3 + 215*r + 150.
(r + 2)*(7*r + 15)**2/3
Let -5*k**3/6 - 80*k**2/3 - 640*k/3 = 0. Calculate k.
-16, 0
Solve -4*q**5/5 + 56*q**4/5 + 272*q**3/5 + 288*q**2/5 = 0 for q.
-2, 0, 18
Factor 91*i**2/4 + 89*i/4 - 1/2.
(i + 1)*(91*i - 2)/4
Factor -5*h**2 + 2870*h - 411845.
-5*(h - 287)**2
Factor -n**2 - 997*n.
-n*(n + 997)
What is v in -v**2/3 + 64*v/3 = 0?
0, 64
What is u in -2*u**4 + 4*u**3 + 40*u**2 + 48*u = 0?
-2, 0, 6
Factor -3*g**3/4 - 12*g**2 + 57*g/4 + 51/2.
-3*(g - 2)*(g + 1)*(g + 17)/4
Factor -3*n**4 - 4*n**3 + 17*n**2 + 6*n.
-n*(n - 2)*(n + 3)*(3*n + 1)
Let -4*l**3 + 30*l**2 + 208*l + 96 = 0. Calculate l.
-4, -1/2, 12
Factor 10*q**3 - 285*q**2 + 395*q + 270.
5*(q - 27)*(q - 2)*(2*q + 1)
Determine b, given that b**2/3 - 10*b/3 - 11/3 = 0.
-1, 11
Suppose 3*t**3/2 + 33*t**2/4 + 3*t - 15/4 = 0. Calculate t.
-5, -1, 1/2
Determine g, given that 20*g**5 + 118*g**4 + 248*g**3 + 214*g**2 + 56*g - 8 = 0.
-2, -1, 1/10
Factor 8*c**3/7 + 66*c**2/7 + 166*c/7 + 120/7.
2*(c + 3)*(c + 4)*(4*c + 5)/7
Determine r so that -27*r**3 + 240*r**2 - 609*r + 396 = 0.
1, 3, 44/9
Find m such that -2*m**3/3 - 116*m**2 - 6728*m - 390224/3 = 0.
-58
Factor -3*o**2/5 - 33*o/5 + 126/5.
-3*(o - 3)*(o + 14)/5
What is t in -4*t**4/5 - 152*t**3/5 - 292*t**2/5 - 144*t/5 = 0?
-36, -1, 0
Factor 28*i**4 - 48*i**3 - 212*i**2 - 168*i - 32.
4*(i - 4)*(i + 1)**2*(7*i + 2)
Find t such that -49691875*t**3 - 1386750*t**2 - 12900*t - 40 = 0.
-2/215
Suppose 5*w**3 - 60*w**2 + 55*w = 0. What is w?
0, 1, 11
Determine g, given that -3*g**2/7 - 768*g/7 - 49152/7 = 0.
-128
Factor -p**2/3 - 19*p/3.
-p*(p + 19)/3
Factor 8*d**3 - 332*d**2 - 172*d + 168.
4*(d - 42)*(d + 1)*(2*d - 1)
What is r in -2*r**5/9 - 16*r**4/9 - 10*r**3/9 + 28*r**2/9 = 0?
-7, -2, 0, 1
Factor -8*h**3 - 186*h**2 + 4514*h + 1140.
-2*(h - 15)*(h + 38)*(4*h + 1)
Factor t**4 - 336*t**3 + 28224*t**2.
t**2*(t - 168)**2
What is q in 2*q**3/7 + 58*q**2/7 - 2*q/7 - 58/7 = 0?
-29, -1, 1
What is k in -14*k**2/5 + 198*k/5 - 184/5 = 0?
1, 92/7
Factor -75*o**4 - 10*o**3.
-5*o**3*(15*o + 2)
Factor 162*u**2 + 180*u + 50.
2*(9*u + 5)**2
Factor 5*i**3 + 60*i**2 + 175*i.
5*i*(i + 5)*(i + 7)
Let 5*n**2 + 115*n + 110 = 0. What is n?
-22, -1
Suppose 14*j**2/3 - 102*j - 44/3 = 0. Calculate j.
-1/7, 22
Factor 4*r**2 + 6568*r + 2696164.
4*(r + 821)**2
Factor j**3/2 - 113*j**2/2 + 1624*j - 1568.
(j - 56)**2*(j - 1)/2
Solve 3*l**3/5 + 12*l**2/5 + 3*l + 6/5 = 0.
-2, -1
Find u such that -u**3/3 - 51*u**2 - 599*u/3 - 149 = 0.
-149, -3, -1
Factor 3*t**2 - 6*t + 3.
3*(t - 1)**2
Factor -4*m**4/7 + 12*m**3/7 + 36*m**2/7 + 20*m/7.
-4*m*(m - 5)*(m + 1)**2/7
Factor -8*w**2/7 - 20*w/7 + 184.
-4*(w + 14)*(2*w - 23)/7
Solve -2*p**2/25 + 232*p/25 - 46/5 = 0 for p.
1, 115
Solve -f**2/9 - 55*f/9 + 56/9 = 0 for f.
-56, 1
Solve 2*z**5/3 + 161*z**4 - 2203*z**3/3 + 902*z**2 - 4*z/3 - 328 = 0 for z.
-246, -1/2, 1, 2
Determine l, given that -15*l**5 - 35*l**4 - 15*l**3 + 15*l**2 + 10*l = 0.
-1, 0, 2/3
Factor -d**4/4 - 4*d**3 - 77*d**2/4 - 55*d/2 - 12.
-(d + 1)**2*(d + 6)*(d + 8)/4
Factor 4*x**2 - 104*x + 192.
4*(x - 24)*(x - 2)
Factor 3*z**4/5 - 42*z**3/5 - 4653*z**2/5 + 6720*z + 384000.
3*(z - 32)**2*(z + 25)**2/5
Determine d, given that -3*d**2 - 582*d - 28227 = 0.
-97
Factor -q**2 - 15*q + 216.
-(q - 9)*(q + 24)
Factor 12*r**2 - 1520*r + 1008.
4*(r - 126)*(3*r - 2)
What is d in 4*d**3 - 104*d**2 - 480*d = 0?
-4, 0, 30
What is b in -9*b**3 + 384*b**2 - 249*b - 126 = 0?
-1/3, 1, 42
Let 95*c**2 - 5*c - 90 = 0. What is c?
-18/19, 1
Determine s so that s**3/2 - s**2 - 11*s/2 + 6 = 0.
-3, 1, 4
Solve 3*j**2/2 + 1215*j/4 + 1203/2 = 0 for j.
-401/2, -2
Solve 2*l**2/9 + 28*l/3 + 82/9 = 0.
-41, -1
Factor t