 64*a**4 + 20*a**3 + 8*a**2 = 0?
-2/9, 0, 1
Factor -2*w**4/7 - 76*w**3/7 + 160*w**2/7.
-2*w**2*(w - 2)*(w + 40)/7
Factor 2*v**4/3 - 4*v**3/3 - 14*v**2/3 - 8*v/3.
2*v*(v - 4)*(v + 1)**2/3
Suppose 17*d**2/4 + 1957*d/4 + 115/2 = 0. Calculate d.
-115, -2/17
Find g such that -25*g**5 - 35*g**4 + 615*g**3 + 875*g**2 + 250*g = 0.
-5, -1, -2/5, 0, 5
Factor -4*d**4 - 140*d**3 - 1692*d**2 - 8164*d - 13520.
-4*(d + 4)*(d + 5)*(d + 13)**2
Factor q**5/8 - 17*q**4/8 - 9*q**3/4.
q**3*(q - 18)*(q + 1)/8
Factor 4*t**2 - 7952*t + 7948.
4*(t - 1987)*(t - 1)
Suppose -5*c**2 + 65*c = 0. Calculate c.
0, 13
Factor -1140495655*d**3 - 33598890*d**2 - 329940*d - 1080.
-5*(611*d + 6)**3
Factor -5*z**2/2 + 230*z - 5290.
-5*(z - 46)**2/2
Find w such that 4*w**3 + 293*w**2 + 641*w + 142 = 0.
-71, -2, -1/4
Find p, given that p**5 - 1360*p**4 + 616984*p**3 - 93572586*p**2 + 91728423*p + 185919354 = 0.
-1, 2, 453
Factor -2*j**5/3 + 32*j**4/3 - 92*j**3/3 - 96*j**2 - 54*j.
-2*j*(j - 9)**2*(j + 1)**2/3
Let -2*n**4/7 - 8*n**3/7 + 64*n**2/7 = 0. Calculate n.
-8, 0, 4
Find n such that n**5/2 - 31*n**4/2 + 111*n**3/2 + 1931*n**2/2 + 2660*n + 2166 = 0.
-3, -2, 19
Factor -3*h**2 - 30*h + 72.
-3*(h - 2)*(h + 12)
Factor -b**3/3 - b**2 - 2*b/3.
-b*(b + 1)*(b + 2)/3
Factor -x**2/5 - 54*x/5 + 171/5.
-(x - 3)*(x + 57)/5
Solve -p**4 + 1234*p**3 + 7428*p**2 + 14872*p + 9920 = 0.
-2, 1240
Factor a**2/4 - 338*a - 1353/4.
(a - 1353)*(a + 1)/4
Let 3*i**5/4 + i**4/2 - 69*i**3/4 - 25*i**2 + 21*i + 20 = 0. Calculate i.
-4, -2, -2/3, 1, 5
Factor -p**3/2 + p**2 + 7*p/2 + 2.
-(p - 4)*(p + 1)**2/2
Determine q, given that -q**4/4 - 23*q**3/2 + 95*q**2/4 - 12*q = 0.
-48, 0, 1
Determine n so that 5*n**2 + 70*n + 65 = 0.
-13, -1
Factor a**2 - 40*a - 276.
(a - 46)*(a + 6)
Suppose -2*t**3 + 12*t**2 - 16*t = 0. What is t?
0, 2, 4
Factor 2*c**4/17 + 6*c**3/17 - 8*c**2/17 - 24*c/17.
2*c*(c - 2)*(c + 2)*(c + 3)/17
Solve 9*t**2 + 84*t + 196 = 0.
-14/3
What is y in 2*y**5/5 - 2*y**4/5 - 2*y**3 + 2*y**2 + 8*y/5 - 8/5 = 0?
-2, -1, 1, 2
Determine q so that 3*q**2 - 81*q = 0.
0, 27
Solve 34295*r**5 - 126350*r**4 - 42180*r**3 - 4520*r**2 - 160*r = 0.
-2/19, 0, 4
Factor z**4 - 80*z**3 + 308*z**2 - 304*z.
z*(z - 76)*(z - 2)**2
Find p such that -5*p**2 + 10*p + 400 = 0.
-8, 10
Determine d, given that -8*d**5 + 4*d**4 + 23*d**3/2 - 7*d**2/2 - 7*d/2 - 1/2 = 0.
-1, -1/4, 1
Factor -y**3/5 + 3*y**2/5 + 16*y/5 - 48/5.
-(y - 4)*(y - 3)*(y + 4)/5
Factor -d**3 + 44*d**2 - 437*d - 1058.
-(d - 23)**2*(d + 2)
Factor s**3 + 5*s**2 - 32*s + 36.
(s - 2)**2*(s + 9)
Find w, given that -w**3/2 + 753*w**2/2 - 71064*w + 70688 = 0.
1, 376
Let 3*n**2 + 6804*n + 3857868 = 0. Calculate n.
-1134
Determine h so that -6*h**2/7 + 190*h/7 + 100 = 0.
-10/3, 35
Factor -2*s**4 + 56*s**3 + 180*s**2 + 184*s + 62.
-2*(s - 31)*(s + 1)**3
Factor 2116*j**2 + 1656*j + 324.
4*(23*j + 9)**2
Let -m**3/6 - 67*m**2/3 - 1843*m/2 - 10830 = 0. What is m?
-57, -20
Determine x so that x**4 + 3004*x**3 - 12027*x**2 + 15038*x - 6016 = 0.
-3008, 1, 2
What is f in -4*f**3 - 152*f**2 - 1700*f - 4624 = 0?
-17, -4
Let f**4 + 5*f**3 - 38*f**2 - 168*f = 0. Calculate f.
-7, -4, 0, 6
Factor 2*h**5/3 + 10*h**4/3 - 6*h**3 - 26*h**2/3 + 56*h/3 - 8.
2*(h - 1)**3*(h + 2)*(h + 6)/3
Solve b**2 - 15*b + 14 = 0.
1, 14
Determine y so that -2*y**5/3 - 14*y**4/9 + 10*y**3/3 + 10*y**2/3 - 64*y/9 + 8/3 = 0.
-3, -2, 2/3, 1
Suppose 2*q**2/5 - 124*q/5 + 48 = 0. What is q?
2, 60
Factor 2*s**3/9 - 524*s**2/9 - 352*s/3.
2*s*(s - 264)*(s + 2)/9
Factor -4*r**2/9 + 19312*r/9 - 23309584/9.
-4*(r - 2414)**2/9
Factor x**4/3 + 20*x**3 - 469*x**2/3.
x**2*(x - 7)*(x + 67)/3
Factor -d**2 - 13*d - 22.
-(d + 2)*(d + 11)
Solve -686*v**5/3 + 784*v**4/3 + 2450*v**3/3 - 3100*v**2/3 + 392*v - 48 = 0 for v.
-2, 2/7, 3/7, 2
Suppose h**5/3 - 47*h**4/3 + 575*h**3/3 - 529*h**2/3 = 0. Calculate h.
0, 1, 23
Let 3*h**4/2 - 2733*h**3/4 - 4809*h**2/2 - 9633*h/4 - 1377/2 = 0. What is h?
-2, -1, -1/2, 459
Factor -2*m**4 - 2*m**3 + 12*m**2 + 8*m - 16.
-2*(m - 2)*(m - 1)*(m + 2)**2
Find o, given that 2*o**3/5 - 1524*o**2/5 + 288792*o/5 + 583696/5 = 0.
-2, 382
Let 3*l**3/5 + 144*l**2 + 47196*l/5 + 467856/5 = 0. What is l?
-114, -12
Factor -48*h**3 - 1316*h**2 + 444*h.
-4*h*(3*h - 1)*(4*h + 111)
Factor 3*q**4 + 231*q**3 - 234*q**2.
3*q**2*(q - 1)*(q + 78)
Factor -2*s**3/3 + 224*s**2/3 - 646*s/3 - 872/3.
-2*(s - 109)*(s - 4)*(s + 1)/3
Solve 4*r**4 + 8*r**3 - 112*r**2 - 200*r + 300 = 0 for r.
-5, -3, 1, 5
Find a such that 12*a**5 - 81*a**4 + 99*a**3 + 30*a**2 = 0.
-1/4, 0, 2, 5
Factor -3*n**5/2 + 27*n**4/2 - 63*n**3/2 + 57*n**2/2 - 9*n.
-3*n*(n - 6)*(n - 1)**3/2
Let -o**2 + 31*o + 222 = 0. Calculate o.
-6, 37
Solve -r**5/5 + r**4 - 8*r**3/5 + 4*r**2/5 = 0 for r.
0, 1, 2
Let -d**3/8 + 13*d**2/2 + 1075*d/8 - 31433/4 = 0. Calculate d.
-34, 43
Solve -3*k**5 + 192*k**4 - 3756*k**3 + 22224*k**2 - 49728*k + 37632 = 0 for k.
2, 4, 28
Suppose 3*j**2 + 35172*j + 103089132 = 0. What is j?
-5862
Factor 3*b**4/7 + 474*b**3 + 910767*b**2/7 - 526140*b + 3696300/7.
3*(b - 2)**2*(b + 555)**2/7
Let -2*o**5 - 12*o**4 + 94*o**3 + 120*o**2 - 200*o = 0. Calculate o.
-10, -2, 0, 1, 5
Solve 5*r**3/3 - 715*r**2 + 1425*r - 2135/3 = 0.
1, 427
Find v, given that -3*v**2/7 + 6*v/7 = 0.
0, 2
Factor -4*y**3 + 16*y**2 + 44*y + 24.
-4*(y - 6)*(y + 1)**2
Suppose -2*l**2/5 - 636*l/5 + 256 = 0. Calculate l.
-320, 2
Find v, given that 3*v**3 - 27*v**2 + 81*v - 81 = 0.
3
Factor 11*y**2 + 40*y.
y*(11*y + 40)
Determine i so that -10*i**5 - 46*i**4 + 200*i**3 + 128*i**2 - 640*i + 224 = 0.
-7, -2, 2/5, 2
Factor 5*u**2/3 - 5*u/3.
5*u*(u - 1)/3
Determine k so that -3*k**5 + 24*k**3 - 48*k = 0.
-2, 0, 2
Factor -2*b**2/13 + 184*b/13 - 4232/13.
-2*(b - 46)**2/13
Factor a**4 - 7*a**2 - 6*a.
a*(a - 3)*(a + 1)*(a + 2)
Determine t, given that -12*t**3/7 - 1321*t**2/7 + 1222*t/7 + 111/7 = 0.
-111, -1/12, 1
Factor -x**3/2 - 396*x**2 - 157605*x/2 - 156025.
-(x + 2)*(x + 395)**2/2
What is a in 5*a**5 + 25*a**4 - 15*a**3 - 85*a**2 - 50*a = 0?
-5, -1, 0, 2
Factor -4*s**3 + 36*s.
-4*s*(s - 3)*(s + 3)
Solve -6*q**4/5 + 77*q**3/5 + 187*q**2/5 + 119*q/5 + 3 = 0.
-1, -1/6, 15
Suppose s**4 + 22*s**3 - 3*s**2 - 68*s - 44 = 0. Calculate s.
-22, -1, 2
Find a such that -14*a**5 - 440*a**4/9 - 382*a**3/9 + 4*a**2 + 88*a/9 - 16/9 = 0.
-2, -1, 2/9, 2/7
Determine x so that 2*x**5 - 8*x**4 - 16*x**3 + 28*x**2 + 14*x - 20 = 0.
-2, -1, 1, 5
Factor 10*p**2/13 - 46*p/13 - 20/13.
2*(p - 5)*(5*p + 2)/13
Factor -9*z**3/2 + 321*z**2 + 431*z/2 + 36.
-(z - 72)*(3*z + 1)**2/2
Determine m, given that -18*m**3 - 10*m**2 = 0.
-5/9, 0
Factor -3*r**2/4 - 327*r/4 + 165/2.
-3*(r - 1)*(r + 110)/4
Suppose v**2/3 - 11*v + 62/3 = 0. Calculate v.
2, 31
Factor 4*y**2/9 - 240*y.
4*y*(y - 540)/9
Find c, given that -2*c**3/11 - 192*c**2/11 - 4968*c/11 - 16928/11 = 0.
-46, -4
Factor 5*z**2/4 - 74*z - 60.
(z - 60)*(5*z + 4)/4
What is g in g**4/5 - 3*g**3/5 + 4*g/5 = 0?
-1, 0, 2
Let 2*s**5/5 - 6*s**4/5 - 4*s**3 + 12*s**2 + 18*s/5 - 54/5 = 0. What is s?
-3, -1, 1, 3
Factor -p**2/3 + 17*p.
-p*(p - 51)/3
What is f in -2*f**4/9 + 73*f**3/9 - 4*f**2 = 0?
0, 1/2, 36
Factor 4*o**4/5 + 24*o**3/5 - 76*o**2/5 - 96*o/5.
4*o*(o - 3)*(o + 1)*(o + 8)/5
Suppose 5*u**2/4 + 25*u/2 = 0. Calculate u.
-10, 0
What is l in l**5 - 380*l**4 + 49120*l**3 - 2281600*l**2 + 15991040*l - 30505984 = 0?
4, 124
Solve 5*j**2 - 175*j + 480 = 0.
3, 32
Factor -5*y**2 - 380*y - 2415.
-5*(y + 7)*(y + 69)
Suppose -22*d**4 - 82*d**3 + 7250*d**2/11 - 7882*d/11 + 2352/11 = 0. What is d?
-8, 7/11, 3
Factor 3*b**5 - 9*b**4 - 54*b**3 - 12*b**2 + 72*b.
3*b*(b - 6)*(b - 1)*(b + 2)**2
Factor 4*l**5 + 128*l**4 + 576*l**3 + 1000*l**2 + 764*l + 216.
4*(l + 1)**3*(l + 2)*(l + 27)
Factor -g**5 - g**4 + 2*g**3 + 2*g**2 - g - 1.
-(g - 1)**2*(g + 1)**3
Suppose -5*r**4/3 + 30*r**3 - 160*r**2 + 640*r/3 = 0. Calculate r.
0, 2, 8
Determine u, given that 3*u**3 + 783*u**2 - 1575*u + 789 = 0.
-263, 1
Let 5*d**4 - 10*d**3 - 5*d**2 + 10*d = 0. What is d?
-1, 0, 1, 2
Factor -j**3/8 + 33*j**2/8 + 145*j/8 + 111/8.
-(j - 37)*(j + 1)*(j + 3)/8
Factor -2*j**4/7 - 54*j**3/7 - 60*j**2 - 200*j/7 + 6000/7.
-2*(j - 3)*(j + 10)**3/7
What is l in 7*l**3/4 + 29*l**2/2 - 30*l = 0?
-10, 0, 12/7
Determine p so that -p**5/4 + 13*p**3/4 - 3*p**2 = 0.
-4, 0, 1, 3
Factor -2*q**3 + 6*q**2 + 12*q - 16.
-2*(q - 4)*(q