c**2/3 - 736*c/9 - 128/3 = 0.
-8, -1, 3
Suppose 3*a**5/8 - 51*a**4/8 + 141*a**3/4 - 285*a**2/4 + 483*a/8 - 147/8 = 0. What is a?
1, 7
Factor -3*o**5/2 + 3*o**4/2 + 15*o**3/2 - 3*o**2/2 - 12*o - 6.
-3*(o - 2)**2*(o + 1)**3/2
Factor v**2/4 + 5*v/4 - 3/2.
(v - 1)*(v + 6)/4
Factor 20*f**4 + 175*f**3 + 495*f**2 + 405*f - 135.
5*(f + 3)**3*(4*f - 1)
Determine c, given that -6*c**4 - 26*c**3 - 38*c**2 - 22*c - 4 = 0.
-2, -1, -1/3
Factor 4*y**4 + 8*y**3 - 20*y**2 - 24*y.
4*y*(y - 2)*(y + 1)*(y + 3)
What is y in -5*y**4 + 30*y**3 + 120*y**2 + 130*y + 45 = 0?
-1, 9
Let a**5 - 4*a**4 - 32*a**3 + 74*a**2 + 31*a - 70 = 0. Calculate a.
-5, -1, 1, 2, 7
Suppose -2*d**5 - 26*d**4 - 50*d**3 + 186*d**2 - 108*d = 0. Calculate d.
-9, -6, 0, 1
Determine u so that -2*u**4 + 92*u**3 - 1050*u**2 - 368*u + 4232 = 0.
-2, 2, 23
Factor o**5/7 - 48*o**4/7 + 660*o**3/7 - 1936*o**2/7.
o**2*(o - 22)**2*(o - 4)/7
Factor -4*x**4 - 64*x**3 + 132*x**2 + 3168*x - 8640.
-4*(x - 5)*(x - 3)*(x + 12)**2
Factor -2*b**2 + 25*b/6 - 1/3.
-(b - 2)*(12*b - 1)/6
Factor -2*h**3/15 - 20*h**2.
-2*h**2*(h + 150)/15
Let -3*i**2/2 - 135*i - 2607/2 = 0. What is i?
-79, -11
Let 4*g**4 - 8*g**3/3 - 16*g**2/3 + 8*g/3 + 4/3 = 0. What is g?
-1, -1/3, 1
Factor -2*w**3/5 + 124*w**2/5 + 398*w/5 - 104.
-2*(w - 65)*(w - 1)*(w + 4)/5
Factor 2*p**2 - 80*p + 222.
2*(p - 37)*(p - 3)
Factor 3*m**3/4 + 9*m**2/2 - 30*m.
3*m*(m - 4)*(m + 10)/4
Factor f**4 + 57*f**3 - f**2 - 57*f.
f*(f - 1)*(f + 1)*(f + 57)
Let -v**3/3 - 1145*v**2/9 + 512*v/3 + 1532/9 = 0. What is v?
-383, -2/3, 2
Suppose 2*t**5 + 66*t**4/7 + 78*t**3/7 + 2*t**2 - 12*t/7 = 0. Calculate t.
-3, -1, 0, 2/7
Factor 15*j**4 - 264*j**3 + 372*j**2 + 192*j.
3*j*(j - 16)*(j - 2)*(5*j + 2)
Solve -3*r**4 + 189*r**3/5 - 12*r**2/5 - 1116*r/5 - 432/5 = 0 for r.
-2, -2/5, 3, 12
What is o in -3*o**4 + 18*o**3 - 33*o**2 + 18*o = 0?
0, 1, 2, 3
Factor -4*p**2 - 5156*p - 5152.
-4*(p + 1)*(p + 1288)
Factor -w**3 + 7*w**2 + w - 7.
-(w - 7)*(w - 1)*(w + 1)
Determine g, given that 2*g**2 + 14*g = 0.
-7, 0
Solve 4*d**3 + 468*d**2 + 920*d = 0 for d.
-115, -2, 0
Factor -2*h**3/11 + 356*h**2/11 + 718*h/11 + 360/11.
-2*(h - 180)*(h + 1)**2/11
Factor -f**2 - 13*f + 30.
-(f - 2)*(f + 15)
Let -74*o**5/11 - 448*o**4/11 - 320*o**3/11 + 428*o**2/11 + 394*o/11 + 20/11 = 0. Calculate o.
-5, -1, -2/37, 1
Factor -9*u**5/2 + 255*u**4/2 - 42*u**3.
-3*u**3*(u - 28)*(3*u - 1)/2
What is f in -2*f**2/3 + 2*f + 140/3 = 0?
-7, 10
Factor -15*z**3 + 1089*z**2 + 2688*z + 900.
-3*(z - 75)*(z + 2)*(5*z + 2)
Let 2*c**3/13 + 14*c**2/13 + 8*c/13 - 24/13 = 0. Calculate c.
-6, -2, 1
Factor -2*f**3/3 + 14*f**2/3 + 80*f.
-2*f*(f - 15)*(f + 8)/3
Determine r so that 3*r**5 - 6*r**4 - 15*r**3 + 30*r**2 + 12*r - 24 = 0.
-2, -1, 1, 2
Factor -38*w**2 + 52*w + 48.
-2*(w - 2)*(19*w + 12)
Factor -2*l**2/5 + 28*l - 992/5.
-2*(l - 62)*(l - 8)/5
What is h in -4*h**2 - 1152*h = 0?
-288, 0
Suppose -3*j**4/5 + 39*j**3/5 - 36*j**2/5 = 0. What is j?
0, 1, 12
Determine m, given that -m**2/2 + 99*m/2 = 0.
0, 99
Find i such that 21*i**4/4 - 19*i**3/4 - i**2/2 = 0.
-2/21, 0, 1
Solve a**4 + 63*a**3 - 1107*a**2 + 4865*a - 3822 = 0 for a.
-78, 1, 7
Find i, given that 28*i**3/3 - 22*i**2 - 52*i/3 - 2 = 0.
-1/2, -1/7, 3
Factor z**5 - 7*z**4 + 14*z**3 - 2*z**2 - 15*z + 9.
(z - 3)**2*(z - 1)**2*(z + 1)
Suppose -4*g**3 + 44*g**2 - 96*g - 144 = 0. Calculate g.
-1, 6
Factor 3*z**2/5 + 1179*z/5 - 3564/5.
3*(z - 3)*(z + 396)/5
Find k such that 20*k**2 + 5*k - 25 = 0.
-5/4, 1
Find b, given that 9*b**2/4 - 23*b/2 + 5/4 = 0.
1/9, 5
Solve 5*w**4 + 1430*w**3 + 1420*w**2 - 1430*w - 1425 = 0.
-285, -1, 1
Suppose 5*j**3 + 185*j**2 + 970*j + 1240 = 0. What is j?
-31, -4, -2
Factor 2*p**4/7 - 16*p**3/7 + 12*p**2/7 + 80*p/7 + 50/7.
2*(p - 5)**2*(p + 1)**2/7
Find x such that x**3 + 10*x**2 - 4*x - 40 = 0.
-10, -2, 2
Factor -3*j**2 + 12*j + 15.
-3*(j - 5)*(j + 1)
What is u in 29*u**4/5 + 59*u**3/5 - 75*u**2 + 277*u/5 + 2 = 0?
-5, -1/29, 1, 2
Let -2*i**2/3 + 22*i - 108 = 0. What is i?
6, 27
Factor -2*k**4 + 20*k**3 + 414*k**2 + 1080*k - 1512.
-2*(k - 21)*(k - 1)*(k + 6)**2
Factor -v**2/2 - 245*v - 60025/2.
-(v + 245)**2/2
Let -32*y**5 - 636*y**4 + 176*y**3 + 1844*y**2 - 1512*y + 160 = 0. What is y?
-20, -2, 1/8, 1
Suppose -41*b**3/8 + 10*b**2 + b/2 = 0. Calculate b.
-2/41, 0, 2
Determine u, given that u**4/4 - 217*u**3/4 - u**2/4 + 217*u/4 = 0.
-1, 0, 1, 217
Solve -5*k**4/3 + 190*k**3/3 - 235*k**2 + 860*k/3 - 340/3 = 0 for k.
1, 2, 34
Determine l, given that -2*l**5/7 + 4*l**4/7 + 2*l**3/7 - 4*l**2/7 = 0.
-1, 0, 1, 2
Let 3*i**3 - 45*i**2 - 54*i + 96 = 0. Calculate i.
-2, 1, 16
Determine n so that 5*n**4 - 30*n**3 + 35*n**2 + 30*n - 40 = 0.
-1, 1, 2, 4
What is q in -q**4 + 32*q**3 + 3*q**2 - 98*q + 64 = 0?
-2, 1, 32
Factor 2*n**2/3 - 60*n + 750.
2*(n - 75)*(n - 15)/3
Let 3*r**4/4 + 5*r**3/2 + 9*r**2/4 + r/2 = 0. What is r?
-2, -1, -1/3, 0
Factor o**2/3 + 47*o/3 + 30.
(o + 2)*(o + 45)/3
Factor -c**4 - 22*c**3 + 1443*c**2 + 17204*c - 611524.
-(c - 23)**2*(c + 34)**2
Find j such that -2*j**5/3 + 118*j**4/15 - 196*j**3/15 - 884*j**2/15 - 658*j/15 - 98/15 = 0.
-1, -1/5, 7
Let -z**3/10 + 18*z**2/5 + z/10 - 18/5 = 0. Calculate z.
-1, 1, 36
Find h such that -1472*h**4/7 + 2336*h**3/7 - 1020*h**2/7 + 164*h/7 - 8/7 = 0.
2/23, 1/4, 1
Find d, given that 15*d**4 - 201*d**3 - 372*d**2 + 180*d = 0.
-2, 0, 2/5, 15
Suppose -3*r**5 + 15*r**4 + 24*r**3 - 36*r**2 = 0. What is r?
-2, 0, 1, 6
Let -c**4/5 + 9*c**3/5 - 27*c**2/5 + 31*c/5 - 12/5 = 0. Calculate c.
1, 3, 4
Factor -5*v**2/2 + 15*v - 45/2.
-5*(v - 3)**2/2
Let 2*d**2/5 - 4116*d/5 + 2117682/5 = 0. What is d?
1029
Factor -g**4 + 2*g**3 + 27*g**2 + 52*g + 28.
-(g - 7)*(g + 1)*(g + 2)**2
Solve 5*a**2 + 110*a = 0 for a.
-22, 0
Let 2*z**3 - 90*z**2 + 174*z - 86 = 0. Calculate z.
1, 43
Suppose 4*d**4/3 - 328*d**3/3 - 340*d**2 = 0. What is d?
-3, 0, 85
Find p such that -3*p**5/2 + 24*p**4 - 141*p**3 + 366*p**2 - 795*p/2 + 150 = 0.
1, 4, 5
Factor -q**2 - 81*q - 648.
-(q + 9)*(q + 72)
What is f in -2*f**3 + 24*f**2 + 30*f - 700 = 0?
-5, 7, 10
Factor -8*j**3 + 68*j**2 + 40*j - 36.
-4*(j - 9)*(j + 1)*(2*j - 1)
Suppose -2*o**3/9 - 16*o**2/9 - 14*o/9 = 0. Calculate o.
-7, -1, 0
Factor -4*m**3/7 + 492*m**2/7 - 1440*m - 47600.
-4*(m - 70)**2*(m + 17)/7
Find g, given that g**2/2 + 7*g + 20 = 0.
-10, -4
Find s such that -s**5/3 + 100*s**4/3 + 68*s**3 + 2*s**2/3 - 203*s/3 - 34 = 0.
-1, 1, 102
Determine y so that -2*y**3/3 + 8*y**2/3 + 2*y/3 - 8/3 = 0.
-1, 1, 4
Determine v, given that -2*v**2 + 56*v - 360 = 0.
10, 18
Let 5*m**5/11 + 16*m**4/11 + 13*m**3/11 + 2*m**2/11 = 0. What is m?
-2, -1, -1/5, 0
Find b such that 35*b**4 + 54*b**3 + 192*b**2/7 + 32*b/7 = 0.
-4/7, -2/5, 0
Factor -k**5/2 + 25*k**4/2 - 165*k**3/2 + 355*k**2/2 - 155*k + 48.
-(k - 16)*(k - 6)*(k - 1)**3/2
Factor 4*c**3 + 256*c**2 + 2260*c + 5400.
4*(c + 5)**2*(c + 54)
What is m in -2*m**4/7 - 10*m**3 - 646*m**2/7 - 578*m/7 = 0?
-17, -1, 0
Determine b, given that 2*b**5/15 + 22*b**4/15 + 24*b**3/5 + 32*b**2/15 - 128*b/15 = 0.
-4, 0, 1
Factor -3*m**2 - 6*m + 765.
-3*(m - 15)*(m + 17)
Determine y, given that -2*y**3/13 - 18*y**2/13 + 2*y/13 + 18/13 = 0.
-9, -1, 1
Factor -4*d**2 - 19512*d - 23794884.
-4*(d + 2439)**2
Factor 605*l**3 - 3960*l**2 + 2025*l - 270.
5*(l - 6)*(11*l - 3)**2
Let 3*v**5 - 336*v**4 - 3549*v**3 - 13362*v**2 - 21852*v - 13176 = 0. What is v?
-3, -2, 122
What is u in -54*u**5/5 + 12*u**4 + 2*u**3/5 - 8*u**2/5 = 0?
-1/3, 0, 4/9, 1
Factor -5929*s**2/8 - 385*s/4 - 25/8.
-(77*s + 5)**2/8
Find u, given that 3*u**3 + 3758*u**2 + 1178132*u + 783752 = 0.
-626, -2/3
Factor -28*q**4 + 2136*q**3 - 41040*q**2 + 11552*q.
-4*q*(q - 38)**2*(7*q - 2)
Determine m so that m**5/3 + 5*m**4 + 14*m**3/3 = 0.
-14, -1, 0
Factor -4*i**5 - 40*i**4 + 44*i**3.
-4*i**3*(i - 1)*(i + 11)
Factor -3*h**3 + 150*h**2 - 2484*h + 13608.
-3*(h - 18)**2*(h - 14)
Factor 5*q**4 + 5*q**3 - 25*q**2 + 15*q.
5*q*(q - 1)**2*(q + 3)
Suppose 4*p**4 - 520*p**3 + 512*p**2 + 520*p - 516 = 0. Calculate p.
-1, 1, 129
Determine c, given that -2*c**2/7 + 262*c/7 - 516/7 = 0.
2, 129
Suppose x**5 + 7*x**4 - 134*x**3 + 558*x**2 - 891*x + 459 = 0. What is x?
-17, 1, 3
Determine a, given that -a**5 - 10*a**4 + 29*a**3 + 54*a**2 - 72*a = 0.
-12, -2, 0, 1, 3
Factor 5*j**3 + 24120*j**2 + 38784960*j + 20788738560.
5