 - 6*o**2/13 - 18*o/13 - 10/13.
2*(o - 5)*(o + 1)**2/13
Factor -2*s**3 - 312*s**2 - 1818*s - 2700.
-2*(s + 3)**2*(s + 150)
Suppose -4*v**4/5 - 4*v**3 + 124*v**2/5 - 172*v/5 + 72/5 = 0. What is v?
-9, 1, 2
Solve -z**3/4 - 109*z**2/4 - 27*z = 0.
-108, -1, 0
Factor 3*w**2 + 507*w + 1002.
3*(w + 2)*(w + 167)
Solve -2*b**5/7 - 32*b**4/7 - 106*b**3/7 + 212*b**2/7 + 288*b/7 = 0.
-9, -8, -1, 0, 2
Factor -j**4 + 2*j**3 + 24*j**2.
-j**2*(j - 6)*(j + 4)
Factor -3*p**4 - 48*p**3 + 33*p**2 + 2178*p.
-3*p*(p - 6)*(p + 11)**2
What is n in -5*n**5 + 25*n**4 - 10*n**3 - 40*n**2 = 0?
-1, 0, 2, 4
Factor 2*v**4/5 - 100*v**3 + 41328*v**2/5 - 1100736*v/5 - 2370816/5.
2*(v - 84)**3*(v + 2)/5
Suppose 3*a**4/2 + 24*a**3 + 42*a**2 = 0. Calculate a.
-14, -2, 0
Suppose -m**5/3 + 22*m**4/3 - 41*m**3/3 + 20*m**2/3 = 0. What is m?
0, 1, 20
Factor 4*y**3 + 676*y**2 - 680*y.
4*y*(y - 1)*(y + 170)
Determine d so that -d**4/4 + d**3/4 + 9*d**2/4 + 11*d/4 + 1 = 0.
-1, 4
Factor -5*c**5 - 85*c**4 + 390*c**3 - 610*c**2 + 415*c - 105.
-5*(c - 1)**4*(c + 21)
Factor i**3 - 71*i**2 - 632*i.
i*(i - 79)*(i + 8)
Factor -135*j**2/4 - 39*j/4 + 3/2.
-3*(5*j + 2)*(9*j - 1)/4
Determine d so that -4*d**3 - 72*d**2 = 0.
-18, 0
Determine s so that 28*s**2 + 464*s - 492 = 0.
-123/7, 1
Determine u, given that 5*u**2/2 + 2200*u + 484000 = 0.
-440
Determine s, given that -5*s**2 + 660*s + 665 = 0.
-1, 133
Factor n**2 - 37*n + 36.
(n - 36)*(n - 1)
Suppose 25*f**4/2 - 11990*f**3 - 9598*f**2 - 1920*f = 0. What is f?
-2/5, 0, 960
Find v, given that -15*v**5 + 111*v**4 - 237*v**3 + 33*v**2 + 288*v - 108 = 0.
-1, 2/5, 2, 3
Determine o so that -2*o**2 + 588*o - 1746 = 0.
3, 291
Find d such that 5*d**2 + 40*d = 0.
-8, 0
Factor 3*r**4 - 39*r**3 + 180*r**2 - 348*r + 240.
3*(r - 5)*(r - 4)*(r - 2)**2
Factor -5*m**4 + 139*m**3 + 479*m**2 + 521*m + 186.
-(m - 31)*(m + 1)**2*(5*m + 6)
What is f in -5*f**3 - 200*f**2 - 385*f - 190 = 0?
-38, -1
Find b, given that 4*b**3/7 + 9*b**2 + 269*b/7 + 24 = 0.
-8, -7, -3/4
Factor 20*z**5 - 243*z**4 + 994*z**3 - 1400*z**2 + 96*z + 128.
(z - 4)**3*(4*z + 1)*(5*z - 2)
Factor 114*d**2/5 - 249*d/5 + 27.
3*(d - 1)*(38*d - 45)/5
Determine k, given that -k**2 - 4372*k - 4778596 = 0.
-2186
Factor 4*a**2 + 2960*a.
4*a*(a + 740)
Factor 3*z**2/5 + 162*z/5 - 336/5.
3*(z - 2)*(z + 56)/5
Factor 685*m**3 - 1355*m**2 - 30*m.
5*m*(m - 2)*(137*m + 3)
Suppose -4*q**3 + 140*q**2 + 1412*q - 1548 = 0. What is q?
-9, 1, 43
Determine q so that -20*q**5 + 32*q**4 + 236*q**3 - 152*q**2 - 816*q - 288 = 0.
-2, -2/5, 3
Let l**3/4 - 27*l**2/4 + 6*l + 13 = 0. What is l?
-1, 2, 26
Suppose -4*q**2 - 2720*q + 8196 = 0. Calculate q.
-683, 3
Factor 4*r**5 + 32*r**4 + 88*r**3 + 96*r**2 + 36*r.
4*r*(r + 1)**2*(r + 3)**2
Factor -r**2/2 + 125*r + 759/2.
-(r - 253)*(r + 3)/2
Let -14*g**5 - 374*g**4 + 108*g**3 = 0. What is g?
-27, 0, 2/7
Find h, given that 2*h**2 + 8040*h + 8080200 = 0.
-2010
Solve 2*n**2/13 - 4*n/13 - 160/13 = 0 for n.
-8, 10
Factor -5*l**4 - 905*l**3 - 53010*l**2 - 903340*l + 5958200.
-5*(l - 5)*(l + 62)**3
Factor -j**2/6 - 170*j - 43350.
-(j + 510)**2/6
Factor 25*k**2/11 + 448*k/11 - 36/11.
(k + 18)*(25*k - 2)/11
What is q in -4*q**2 + 47136*q - 138862656 = 0?
5892
Solve 2*a**5/9 - 46*a**4/9 + 368*a**3/9 - 1120*a**2/9 + 512*a/9 + 2048/9 = 0.
-1, 4, 8
What is q in 2*q**3 + 28*q**2/3 - 14*q/3 - 20/3 = 0?
-5, -2/3, 1
Factor s**5/4 - 3*s**4/4 - 3*s**3/2 + 5*s**2/2 + 21*s/4 + 9/4.
(s - 3)**2*(s + 1)**3/4
Factor -4*w**3/5 + 614*w**2/5 - 306*w/5.
-2*w*(w - 153)*(2*w - 1)/5
Let r**5 - 10*r**4 + 8*r**3 + 10*r**2 - 9*r = 0. What is r?
-1, 0, 1, 9
Factor -o**2/8 - 3049*o/8 - 381.
-(o + 1)*(o + 3048)/8
Factor 3*y**4 + 28*y**3 + 55*y**2 - 50*y.
y*(y + 5)**2*(3*y - 2)
Factor -5*r**3 + 60*r**2 - 220*r + 240.
-5*(r - 6)*(r - 4)*(r - 2)
Determine z so that -36*z**4 - 1376*z**3 + 2540*z**2 - 808*z - 320 = 0.
-40, -2/9, 1
Factor 3*x**2/7 - 15*x/7 - 6.
3*(x - 7)*(x + 2)/7
Factor -k**2/2 + 364*k - 66248.
-(k - 364)**2/2
Suppose -15*m**5 + 21*m**4 + 84*m**3 - 96*m**2 - 96*m + 48 = 0. What is m?
-2, -1, 2/5, 2
Solve -h**5/9 - 4*h**4/3 - 20*h**3/9 + 2*h**2/9 + 7*h/3 + 10/9 = 0.
-10, -1, 1
Factor 4*c**4 + 68*c**3 + 320*c**2 + 256*c.
4*c*(c + 1)*(c + 8)**2
Factor 11850*i**2/13 + 3938*i/13 - 4/13.
2*(3*i + 1)*(1975*i - 2)/13
Factor -5*s**2/3 - 1120*s/3 - 2880.
-5*(s + 8)*(s + 216)/3
Factor -s**4/3 + 20*s**3/3 - 52*s**2/3 - 160*s - 192.
-(s - 12)**2*(s + 2)**2/3
Factor 3*c**4 - 129*c**3 - 267*c**2 - 135*c.
3*c*(c - 45)*(c + 1)**2
Factor -a**2/3 + 23*a/3.
-a*(a - 23)/3
Factor 4*q**2 + 192*q - 1060.
4*(q - 5)*(q + 53)
Find k such that -3*k**2 + 9*k - 6 = 0.
1, 2
Find c such that 4*c**3 + 96*c**2 + 660*c + 968 = 0.
-11, -2
Suppose -3*m**5 + 54*m**4 - 243*m**3 = 0. Calculate m.
0, 9
Factor 2*o**2 - 8*o - 24.
2*(o - 6)*(o + 2)
Factor -2*c**2 - 4556*c - 2594642.
-2*(c + 1139)**2
Solve -4*p**5/3 + 4*p**4 - 16*p**2/3 = 0 for p.
-1, 0, 2
Let k**3 + 88*k**2 - 91*k - 178 = 0. Calculate k.
-89, -1, 2
Factor -h**2/3 - 1846*h - 2555787.
-(h + 2769)**2/3
Suppose -4*g**3 + 76*g**2 - 220*g - 1452 = 0. Calculate g.
-3, 11
Factor -16*k**3 - 644*k**2 + 492*k.
-4*k*(k + 41)*(4*k - 3)
Let -2*x**3/9 - 76*x**2/3 - 722*x = 0. What is x?
-57, 0
Solve -8*z**3 - 18*z**2 + 98*z - 60 = 0 for z.
-5, 3/4, 2
Factor -5*o**2 + 165*o + 350.
-5*(o - 35)*(o + 2)
Factor 3*d**3 + 87*d**2 + 153*d - 243.
3*(d - 1)*(d + 3)*(d + 27)
Let -2*g**2/3 = 0. Calculate g.
0
Solve k**2/5 - 2*k/5 = 0 for k.
0, 2
Factor -a**4/6 - a**3/2 + 7*a**2/3 + 2*a - 20/3.
-(a - 2)**2*(a + 2)*(a + 5)/6
Let -8*o**2/3 - 194*o/3 - 16 = 0. What is o?
-24, -1/4
Solve 2*n**3/3 + 320*n**2/3 - 646*n/3 + 108 = 0 for n.
-162, 1
Factor -2*v**2 - 48*v + 434.
-2*(v - 7)*(v + 31)
Solve -12*x**5/7 - 29*x**4/7 - 22*x**3/7 - 5*x**2/7 = 0 for x.
-1, -5/12, 0
What is n in -n**2/4 - 87*n - 7569 = 0?
-174
Factor y**4/4 + 11*y**3/4 - 5*y**2 - 21*y + 36.
(y - 2)**2*(y + 3)*(y + 12)/4
Factor 2*m**2/17 - 12836*m/17 + 20595362/17.
2*(m - 3209)**2/17
Determine a so that 5*a**5 + 100*a**4 + 95*a**3 = 0.
-19, -1, 0
Find d such that -5*d**3 + 325*d**2 = 0.
0, 65
Solve -3*d**2 - 1092*d + 1095 = 0.
-365, 1
Solve -s**5 + 21*s**4 - 99*s**3 - 121*s**2 = 0 for s.
-1, 0, 11
Determine i, given that 4*i**2 - 216*i + 2916 = 0.
27
Factor 12*a**3/5 + 46*a**2/5 + 28*a/5 - 6/5.
2*(a + 1)*(a + 3)*(6*a - 1)/5
Let a**4 - 4*a**3 + 6*a**2 - 4*a + 1 = 0. What is a?
1
Suppose -75*c**4 + 120*c**3 + 27*c**2 - 120*c + 48 = 0. Calculate c.
-1, 4/5, 1
Solve j**5 + 45*j**4 + 86*j**3 - 2*j**2 - 87*j - 43 = 0 for j.
-43, -1, 1
Factor n**2/6 + 7*n - 43/6.
(n - 1)*(n + 43)/6
Factor 6*f**2 + 86*f - 60.
2*(f + 15)*(3*f - 2)
Suppose -2*q**2/7 - 62*q/7 - 60/7 = 0. What is q?
-30, -1
Suppose -a**4/5 - 8*a**3 - 437*a**2/5 - 722*a/5 = 0. What is a?
-19, -2, 0
Determine p, given that p**2/2 + 31*p/2 + 84 = 0.
-24, -7
Solve -z**4/3 + 10*z**3 - 64*z**2 - 512*z/3 = 0.
-2, 0, 16
Let a**2/11 - 732*a/11 + 1460/11 = 0. Calculate a.
2, 730
Let -3*m**2/4 + 159*m/4 - 39 = 0. Calculate m.
1, 52
Suppose 2*h**2/9 + 38*h/9 + 32/3 = 0. What is h?
-16, -3
Let 2*a**2 - 114*a + 112 = 0. Calculate a.
1, 56
What is v in -2*v**2 - 35*v - 17 = 0?
-17, -1/2
Factor -f**2/3 + 2402*f/3 - 1442401/3.
-(f - 1201)**2/3
Factor -j**5 + 11*j**4 - 19*j**3 + 9*j**2.
-j**2*(j - 9)*(j - 1)**2
Factor -2*l**2/13 - 206*l/13 + 420/13.
-2*(l - 2)*(l + 105)/13
Factor -k**3 - 21*k**2/2 + 77*k/2 - 27.
-(k - 2)*(k - 1)*(2*k + 27)/2
Find r such that -8*r**3/3 + 286*r**2/3 - 624*r - 162 = 0.
-1/4, 9, 27
Let -q**4/6 + 14*q**3 - 264*q**2 - 3872*q/3 = 0. What is q?
-4, 0, 44
Factor n**4 + 19*n**3 + 73*n**2 + 33*n - 126.
(n - 1)*(n + 3)**2*(n + 14)
Factor 4*r**5/7 + 32*r**4/7 + 88*r**3/7 + 96*r**2/7 + 36*r/7.
4*r*(r + 1)**2*(r + 3)**2/7
Let -4*r**3/5 + 32*r**2/5 - 68*r/5 + 8 = 0. Calculate r.
1, 2, 5
Factor 3*z**5 + 9*z**4 - 30*z**3 - 156*z**2 - 216*z - 96.
3*(z - 4)*(z + 1)*(z + 2)**3
Let 2*f**2/9 + 22*f/9 + 20/9 = 0. Calculate f.
-10, -1
Factor -2*k**3 - 778*k**2 - 77568*k - 368640.
-2*(k + 5)*(k + 192)**2
Find l, given that -2*l**5/25 - 4*l**4 - 1036*l**3/25 + 5296*l**2/25 - 7074*l/25 + 2916/25 = 0.
-27, 1, 2
Find m, given that m**5 - 9*m**4 + 11*m**3 + 61*m**2 - 60*m - 100 = 0.
-2, -1, 2, 5
Factor -3*w**2/4 + 3.
-3*(w - 2)*(w + 2)/4
Factor -500*i**4 - 475*i**3 + 620*i**2 - 140*i.
-5*i*(4*i + 7)*(5*i -