et 21*j**4 + 211*j**3 - 496*j**2 - 44*j + 48 = 0. Calculate j.
-12, -1/3, 2/7, 2
Find u, given that -3*u**3/5 + 207*u**2/5 - 4761*u/5 + 36501/5 = 0.
23
Factor 3*i**3/4 + 69*i**2/4 + 90*i - 108.
3*(i - 1)*(i + 12)**2/4
Find d, given that -d**3 - 14*d**2 + 31*d - 16 = 0.
-16, 1
Factor 268*z**3/3 + 1084*z**2/3 + 1120*z/3 + 16.
4*(z + 2)**2*(67*z + 3)/3
Factor 3*c**4 - 864*c**3 + 93312*c**2 - 4478976*c + 80621568.
3*(c - 72)**4
Factor -4*i**3 - 640*i**2 + 6700*i - 17000.
-4*(i - 5)**2*(i + 170)
Find r such that -60*r**3 + 532*r**2 - 408*r - 64 = 0.
-2/15, 1, 8
Let -5*s**3 - 75*s**2 + 3960*s + 70180 = 0. Calculate s.
-22, 29
Factor a**5/3 + 38*a**4/3 - 79*a**3/3 + 40*a**2/3.
a**2*(a - 1)**2*(a + 40)/3
Factor 24*p**4 + 1692*p**3 - 1701*p**2/2 + 213*p/2.
3*p*(p + 71)*(4*p - 1)**2/2
Suppose b**5/6 + 16*b**4/3 - 11*b**3/2 = 0. Calculate b.
-33, 0, 1
Determine o so that -3*o**5 - 21*o**4 - 6*o**3 + 120*o**2 = 0.
-5, -4, 0, 2
Let -r**2/5 + 603*r/5 - 602/5 = 0. What is r?
1, 602
Factor 2*g**3 - 20*g**2 - 46*g - 24.
2*(g - 12)*(g + 1)**2
Suppose -t**5/4 + t**4/4 + t**3/4 - t**2/4 = 0. What is t?
-1, 0, 1
Factor -3*j**2 + 81*j - 150.
-3*(j - 25)*(j - 2)
Suppose 2*h**3/3 + 620*h**2/3 - 1246*h/3 + 208 = 0. What is h?
-312, 1
Let q**3 - 10*q**2 + 23*q - 14 = 0. Calculate q.
1, 2, 7
Let 2*q**3/7 + 844*q**2/7 - 3400*q/7 + 3408/7 = 0. What is q?
-426, 2
Solve 12*g**4 + 476*g**3 + 768*g**2 + 304*g = 0.
-38, -1, -2/3, 0
Factor -3*q**3 - 42*q**2 + 93*q - 48.
-3*(q - 1)**2*(q + 16)
Suppose -8960*l**3 + 5920*l**2 - 1275*l + 90 = 0. What is l?
3/16, 2/7
Find r such that -8*r**5 + 148*r**4 - 640*r**3 + 140*r**2 + 648*r - 288 = 0.
-1, 1/2, 1, 6, 12
Suppose u**5/3 - 7*u**4/3 + 5*u**3 - 3*u**2 = 0. Calculate u.
0, 1, 3
Factor -2*m**3/7 + 6*m**2/7 + 162*m/7 + 22.
-2*(m - 11)*(m + 1)*(m + 7)/7
Find o such that o**5/2 + 23*o**4/4 + 20*o**3 + 75*o**2/4 = 0.
-5, -3/2, 0
Factor 4*l**2/5 + 32*l + 320.
4*(l + 20)**2/5
Factor -6*s**2 + 868*s - 1430.
-2*(s - 143)*(3*s - 5)
Let -12*q**4 + 152*q**3 + 220*q**2 + 56*q = 0. Calculate q.
-1, -1/3, 0, 14
Factor -z**3 + 226*z**2 - 892*z + 888.
-(z - 222)*(z - 2)**2
Find y such that 23*y**2/2 + 8*y = 0.
-16/23, 0
Let 32*z**2/7 - 34*z/7 + 2/7 = 0. What is z?
1/16, 1
Factor -9*j**3/8 + 33*j**2/8 + 57*j/8 + 15/8.
-3*(j - 5)*(j + 1)*(3*j + 1)/8
What is b in -b**3/4 - 15*b**2/4 + 33*b/4 + 847/4 = 0?
-11, 7
Factor -y**4/2 + 6*y**3 - 43*y**2/2 + 12*y + 40.
-(y - 5)*(y - 4)**2*(y + 1)/2
Determine m, given that 8*m**4 - 692*m**3 + 1012*m**2 + 680*m = 0.
-1/2, 0, 2, 85
Solve 15*k**3 - 20*k**2 - 25*k + 10 = 0.
-1, 1/3, 2
Factor -16*h**3/7 - 7104*h**2/7 - 7092*h/7 - 1772/7.
-4*(h + 443)*(2*h + 1)**2/7
Factor -u**3/6 + 383*u**2/6 + 64*u.
-u*(u - 384)*(u + 1)/6
Factor -5*p**3 - 255*p**2 - 1150*p.
-5*p*(p + 5)*(p + 46)
Factor -l**2/9 - 293*l/9 - 194/3.
-(l + 2)*(l + 291)/9
Factor -242*c**4/9 - 946*c**3/9 + 416*c**2/3 - 40*c.
-2*c*(c + 5)*(11*c - 6)**2/9
Factor 27*r**5 + 90*r**4 + 111*r**3 + 60*r**2 + 12*r.
3*r*(r + 1)**2*(3*r + 2)**2
What is c in 5*c**5 + 70*c**4 + 225*c**3 = 0?
-9, -5, 0
What is k in -k**3 + 72*k**2 + 223*k + 150 = 0?
-2, -1, 75
Determine m, given that m**5/4 + m**4 - m**3 - 17*m**2/2 - 45*m/4 - 9/2 = 0.
-3, -2, -1, 3
Determine q so that q**3/7 + 97*q**2/7 + 846*q/7 - 2088/7 = 0.
-87, -12, 2
Find o, given that 107*o**4/9 - 430*o**3/9 + 436*o**2/9 - 8*o/9 = 0.
0, 2/107, 2
Solve 4*w**3/5 - 252*w**2/5 + 3584*w/5 + 768 = 0 for w.
-1, 24, 40
Determine z, given that -z**2/4 - 155*z/2 - 24025/4 = 0.
-155
Suppose 4*t**4/3 - 116*t**3/3 - 712*t**2/3 + 1040*t/3 + 544 = 0. Calculate t.
-6, -1, 2, 34
Factor -4*h**3 + 76*h**2 - 360*h.
-4*h*(h - 10)*(h - 9)
Factor 10*c**3 + 46*c**2 + 16*c - 72.
2*(c - 1)*(c + 2)*(5*c + 18)
Suppose -b**4/4 + 5*b**2/4 - 1 = 0. Calculate b.
-2, -1, 1, 2
Find s such that 2*s**3 + 4*s**2 - 86*s + 80 = 0.
-8, 1, 5
Determine m, given that -2*m**5/17 - 70*m**4/17 - 462*m**3/17 - 794*m**2/17 + 464*m/17 + 864/17 = 0.
-27, -4, -1, 1
Factor -2*g**3 + 170*g**2 + 706*g + 534.
-2*(g - 89)*(g + 1)*(g + 3)
Solve 8*s**4 + 76*s**3 + 156*s**2 - 140*s - 100 = 0.
-5, -1/2, 1
Factor b**5 + 581*b**4 + 83515*b**3 - 254041*b**2 + 255208*b - 85264.
(b - 1)**3*(b + 292)**2
Find g such that 9*g**5 - 12*g**4 - 39*g**3 + 54*g**2 + 12*g - 24 = 0.
-2, -2/3, 1, 2
What is g in g**2/5 - 11*g/5 + 28/5 = 0?
4, 7
Factor -x**4/5 - 2*x**3 + x**2/5 + 2*x.
-x*(x - 1)*(x + 1)*(x + 10)/5
Factor -2*b**5/5 + 26*b**4/5 + 58*b**3/5 + 6*b**2.
-2*b**2*(b - 15)*(b + 1)**2/5
Suppose 21*k**4 + 771*k**3 + 4965*k**2 + 7653*k - 2610 = 0. What is k?
-29, -5, -3, 2/7
Suppose -4*r**5 - 8*r**4 + 8*r**2 + 4*r = 0. Calculate r.
-1, 0, 1
Find d such that -2*d**5/9 + 22*d**4/9 - 28*d**3/3 + 128*d**2/9 - 64*d/9 = 0.
0, 1, 2, 4
Let -2*v**5 - 2*v**4 + 34*v**3 + 106*v**2 + 112*v + 40 = 0. What is v?
-2, -1, 5
Determine u so that -u**5 + 90*u**4 + 276*u**3 + 278*u**2 + 93*u = 0.
-1, 0, 93
Solve -11*y**5/6 - y**4/3 + 11*y**3/2 + 14*y**2/3 + 2*y/3 = 0 for y.
-1, -2/11, 0, 2
Factor 4*g**3 + 308*g**2 + 5084*g - 33620.
4*(g - 5)*(g + 41)**2
Determine j, given that 26*j**4 - 18*j**3 - 128*j**2 + 120*j = 0.
-30/13, 0, 1, 2
Factor 21*n**3 + 6*n**2 - 84*n - 24.
3*(n - 2)*(n + 2)*(7*n + 2)
Factor 4*l**3 + 16*l**2 - 20*l.
4*l*(l - 1)*(l + 5)
Suppose 18*o**3/5 + 876*o**2/5 - 1194*o/5 + 60 = 0. Calculate o.
-50, 1/3, 1
Factor -2*u**3/5 + 38*u**2/5 - 20*u + 64/5.
-2*(u - 16)*(u - 2)*(u - 1)/5
Factor -h**4/2 - 3*h**3 + 10*h**2 + 12*h - 32.
-(h - 2)**2*(h + 2)*(h + 8)/2
Factor -3*h**2 - 4686*h - 1829883.
-3*(h + 781)**2
Factor -3*b**4/4 + 183*b**3/4 + 93*b**2/2.
-3*b**2*(b - 62)*(b + 1)/4
Solve 3*f**3/7 + 51*f**2/7 + 240*f/7 + 192/7 = 0.
-8, -1
Factor -11*p**3/8 - 7*p**2/8 + 19*p/8 + 15/8.
-(p + 1)**2*(11*p - 15)/8
Factor -x**2/3 + 28*x/3 - 9.
-(x - 27)*(x - 1)/3
Let -l**5/2 + 7*l**4/6 + 3*l**3/2 - 7*l**2/6 - l = 0. What is l?
-1, -2/3, 0, 1, 3
Factor -p**3 + 39*p**2 - 36*p - 76.
-(p - 38)*(p - 2)*(p + 1)
Factor -2*z**3 - 5400*z**2 + 10806*z - 5404.
-2*(z - 1)**2*(z + 2702)
Solve 2*n**3/11 - 78*n**2/11 - 80*n/11 = 0.
-1, 0, 40
Let -2*d**4 - 8*d**3 + 36*d**2 - 40*d + 14 = 0. Calculate d.
-7, 1
Determine i so that -14*i**5/3 - 200*i**4/3 - 3488*i**3/21 + 7296*i**2/7 + 27648*i/7 = 0.
-8, -36/7, 0, 4
Find w such that -56*w**5 + 562*w**4 - 1808*w**3 + 1816*w**2 + 64*w - 128 = 0.
-1/4, 2/7, 2, 4
Factor w**3/5 + 9*w**2/5 + 14*w/5.
w*(w + 2)*(w + 7)/5
Let -o**5/4 + 7*o**4/4 - 3*o**3/4 - 63*o**2/4 + 27*o = 0. What is o?
-3, 0, 3, 4
Factor -q**3/2 - 60*q**2 + 367*q/2 - 123.
-(q - 2)*(q - 1)*(q + 123)/2
Solve 9*j**3/4 - 111*j**2/4 + 90*j - 27 = 0.
1/3, 6
Determine l, given that 4*l**4 - 60*l**3 - 28*l**2 + 444*l - 360 = 0.
-3, 1, 2, 15
Factor 4*n**2 + 1556*n + 4632.
4*(n + 3)*(n + 386)
Determine m, given that m**2/7 + 162*m/7 + 6561/7 = 0.
-81
Factor -14*h**2/5 - 46*h/5 - 12/5.
-2*(h + 3)*(7*h + 2)/5
Solve -3*d**5/5 + 6*d**4 - 117*d**3/5 + 222*d**2/5 - 204*d/5 + 72/5 = 0.
1, 2, 3
Factor 3*o**4 + 189*o**3 + 3528*o**2 + 16464*o.
3*o*(o + 7)*(o + 28)**2
Find w, given that w**5/8 - w**4/4 - w**3 + 2*w**2 + 2*w - 4 = 0.
-2, 2
Factor 4*z**5 - 4*z**4 - 36*z**3 + 36*z**2.
4*z**2*(z - 3)*(z - 1)*(z + 3)
Factor 3*m**3 + 23*m**2 + 32*m + 12.
(m + 1)*(m + 6)*(3*m + 2)
Let 4*r**3 + 20*r**2 - 352*r + 832 = 0. Calculate r.
-13, 4
Factor 5*q**4 - 65*q**3 + 60*q**2 + 1280*q - 1280.
5*(q - 8)**2*(q - 1)*(q + 4)
Suppose 5*r**4 - 600*r**3 + 8640*r**2 - 33280*r = 0. Calculate r.
0, 8, 104
Factor -3*l**4/7 + 12*l**3/7 + 12*l**2/7 - 48*l/7.
-3*l*(l - 4)*(l - 2)*(l + 2)/7
Solve 3*r**2 - 192*r + 549 = 0 for r.
3, 61
Factor -n**2/3 - 7*n/3 + 20.
-(n - 5)*(n + 12)/3
Factor -3*p**2 - 29406*p - 72059403.
-3*(p + 4901)**2
Factor 2*f**3 + 600*f**2 - 602*f.
2*f*(f - 1)*(f + 301)
Let o**5 + 17*o**4 + 70*o**3 = 0. What is o?
-10, -7, 0
What is g in 30*g**4/7 - 183*g**3/7 - 12*g**2/7 + 183*g/7 - 18/7 = 0?
-1, 1/10, 1, 6
Factor 4*h**5 - 20*h**4 + 12*h**3 + 20*h**2 - 16*h.
4*h*(h - 4)*(h - 1)**2*(h + 1)
Let 8*c**4 - 14482*c**3 + 3619*c**2 + 1810*c = 0. What is c?
-1/4, 0, 1/2, 1810
Let -3*r**3/2 + 21*r**2/2 + 51*r/2 + 27/2 = 0. Calculate r.
-1, 9
Find h such that h**4/4 - 35*h**3/2 + 450*h**2 - 5000*h + 20000 = 0.
10, 20
What is k in k**2 - 30*k - 304 = 0?
-8, 38
Solve w**5 + 25*w**4 + 138*w**3 - 302*w**2 - 923*w - 507 = 0 for w.
-13, -1, 3
Facto