-1, -1/5, 2/3, 3
Solve -129*k**2/2 + 165*k/2 - 18 = 0.
12/43, 1
Factor -7*r**5/4 - 125*r**4/2 - 738*r**3 - 2808*r**2 + 864*r.
-r*(r + 12)**3*(7*r - 2)/4
Factor -4*g**5 - 36*g**4 - 108*g**3 - 108*g**2.
-4*g**2*(g + 3)**3
Determine n, given that -n**2/3 + 11*n/3 - 8 = 0.
3, 8
Factor -v**2/4 + 83*v/4 + 21.
-(v - 84)*(v + 1)/4
Factor m**2/5 - 27*m/5 - 28/5.
(m - 28)*(m + 1)/5
Solve -2*c**3/3 - 145*c**2 - 7848*c + 11881/3 = 0 for c.
-109, 1/2
Factor 4*f**2 + 268*f - 1136.
4*(f - 4)*(f + 71)
Find t, given that 2*t**5/19 + 36*t**4/19 - 2*t**3 = 0.
-19, 0, 1
Find g, given that 2*g**3/7 - 1744*g**2/7 + 3482*g/7 - 1740/7 = 0.
1, 870
Factor 36*l**2 - 3840*l + 102400.
4*(3*l - 160)**2
Factor 3*h**3/4 + 9*h**2/4 + 9*h/4 + 3/4.
3*(h + 1)**3/4
Determine p so that 8*p**4/7 - 6*p**3/7 - 8*p**2/7 + 6*p/7 = 0.
-1, 0, 3/4, 1
What is w in 21*w**3/5 + 456*w**2/5 + 2409*w/5 - 726/5 = 0?
-11, 2/7
Factor 2*u**3/25 + 86*u**2/25 + 1232*u/25 + 1176/5.
2*(u + 14)**2*(u + 15)/25
Solve n**3/3 + 5*n**2/3 - 13*n/3 + 7/3 = 0.
-7, 1
Factor c**3/5 + 2*c**2 - 23*c/5 + 12/5.
(c - 1)**2*(c + 12)/5
Find c, given that -5*c**4 - 110*c**3 + 360*c**2 - 370*c + 125 = 0.
-25, 1
Suppose -y**3/5 + 174*y**2/5 - 10092*y/5 + 195112/5 = 0. Calculate y.
58
Factor -2*x**2 + 668*x - 1328.
-2*(x - 332)*(x - 2)
Determine x so that 2*x**5/3 + 20*x**4/9 - 10*x**3/9 - 40*x**2/9 + 8*x/3 = 0.
-3, -2, 0, 2/3, 1
What is n in -n**3/3 - 5*n**2 - 68*n/3 - 32 = 0?
-8, -4, -3
Factor 2*h**2/7 - 6*h.
2*h*(h - 21)/7
Factor -2*u**2/13 + 114*u/13 - 112/13.
-2*(u - 56)*(u - 1)/13
Solve 99*a**4/4 + 843*a**3/4 - 433*a**2/4 - 7*a/4 + 9/2 = 0.
-9, -2/11, 1/3
Determine n so that 3*n**5/7 + 18*n**4 + 1314*n**3/7 - 384*n**2/7 - 603*n - 378 = 0.
-21, -1, 2
Determine z so that -2*z**2/5 + 188*z/5 - 570 = 0.
19, 75
Solve 2*i**5/3 - 6*i**4 - 26*i**3/3 + 274*i**2/3 + 224*i + 392/3 = 0.
-2, -1, 7
Determine y, given that 5*y**5 + 5*y**4 - 25*y**3 - 5*y**2 + 40*y - 20 = 0.
-2, 1
Determine c, given that 15*c**4 + 35*c**3 - 155*c**2 - 235*c - 60 = 0.
-4, -1, -1/3, 3
Factor 2*m**4/17 - 2360*m**3/17 + 1044300*m**2/17 - 205379000*m/17 + 15146701250/17.
2*(m - 295)**4/17
Factor -130*i**3 - 5445*i**2 - 56700*i + 6615.
-5*(i + 21)**2*(26*i - 3)
Let 2*z**4 + 12*z**3 + 16*z**2 = 0. What is z?
-4, -2, 0
Factor 2*r**2 + 20*r + 50.
2*(r + 5)**2
Factor 28*z**2 - 132*z.
4*z*(7*z - 33)
Factor 27*l**2 + 96*l + 256/3.
(9*l + 16)**2/3
Let -2*l**4 - 218*l**3 - 5830*l**2 + 6050*l = 0. Calculate l.
-55, 0, 1
Factor -3*j**2/4 - 126*j - 501/4.
-3*(j + 1)*(j + 167)/4
Factor 3*o**3/8 + 135*o**2/8 + 249*o/8 - 387/8.
3*(o - 1)*(o + 3)*(o + 43)/8
Factor y**3/4 + 2277*y**2/4 + 1728243*y/4 + 437245479/4.
(y + 759)**3/4
Factor 5*j**2 + 360*j + 6475.
5*(j + 35)*(j + 37)
Find b, given that -3*b**5/5 + 57*b**4/5 - 297*b**3/5 + 243*b**2/5 = 0.
0, 1, 9
Factor -d**4/4 - 3*d**3/2 + 11*d/2 - 15/4.
-(d - 1)**2*(d + 3)*(d + 5)/4
Suppose -n**3/4 - 6*n**2 - 21*n/4 + 23/2 = 0. What is n?
-23, -2, 1
Find t, given that 5*t**2 - 47000*t + 110450000 = 0.
4700
Suppose -20994724*s**4 - 36656*s**3 + 20994708*s**2 + 36656*s + 16 = 0. Calculate s.
-1, -2/2291, 1
Let -80*f**5 + 200*f**4 - 5*f**3 - 190*f**2 + 85*f - 10 = 0. What is f?
-1, 1/4, 1, 2
Factor -55*m**2/7 - 442*m/7 - 16/7.
-(m + 8)*(55*m + 2)/7
Determine p, given that 4*p**3 + 428*p**2 + 12064*p + 32448 = 0.
-52, -3
Solve c**2/3 + 13*c/3 = 0.
-13, 0
Factor -h**2 + 1074*h.
-h*(h - 1074)
Find b such that -b**3/3 + 7*b**2/3 - 12 = 0.
-2, 3, 6
Factor -5*g**4 - 40*g**3 - 95*g**2 - 60*g.
-5*g*(g + 1)*(g + 3)*(g + 4)
Suppose -3*u**4/4 + 21*u**3/2 - 27*u**2 + 51*u/2 - 33/4 = 0. What is u?
1, 11
Solve -2*f**5/11 - 118*f**4/11 - 342*f**3/11 - 338*f**2/11 - 112*f/11 = 0 for f.
-56, -1, 0
Solve -2*v**4/3 + 20*v**3/3 + 18*v**2 - 24*v = 0 for v.
-3, 0, 1, 12
Factor -9*h**3 - 638*h**2 - 11585*h - 9800.
-(h + 35)**2*(9*h + 8)
Factor 21*n**3 - 38*n**2 + 19*n - 2.
(n - 1)*(3*n - 2)*(7*n - 1)
Factor 5*g**4/6 - 475*g**3/2 + 17040*g**2 - 50410*g/3.
5*g*(g - 142)**2*(g - 1)/6
Factor 4*s**3 + 360*s**2 + 7728*s - 16928.
4*(s - 2)*(s + 46)**2
Suppose 2*u**2/7 + 1306*u/7 + 372 = 0. Calculate u.
-651, -2
Factor h**3 - 3*h**2 - 4*h.
h*(h - 4)*(h + 1)
Suppose -a**2 - 82*a = 0. Calculate a.
-82, 0
What is s in -3*s**5/7 - 120*s**4/7 - 1515*s**3/7 - 690*s**2 + 2100*s - 1176 = 0?
-14, 1
Suppose -n**3 - 68*n**2 - 251*n + 320 = 0. Calculate n.
-64, -5, 1
Determine u so that -5*u**5/3 - 5*u**4/6 + 55*u**3/6 - 55*u**2/6 + 5*u/2 = 0.
-3, 0, 1/2, 1
Find w, given that -2*w**3/5 + 22*w**2/5 + 58*w/5 - 78/5 = 0.
-3, 1, 13
Solve -2*q**2/13 - 472*q/13 + 474/13 = 0 for q.
-237, 1
Factor b**3/3 - 46*b**2/3 + 529*b/3.
b*(b - 23)**2/3
Factor 3*z**3 - 93*z**2 + 765*z - 675.
3*(z - 15)**2*(z - 1)
Factor -k**3 + 404*k**2 - 1604*k + 1600.
-(k - 400)*(k - 2)**2
Let g**4/3 + 10*g**3/3 + 13*g**2/3 - 8*g = 0. Calculate g.
-8, -3, 0, 1
Factor j**2/3 + 616*j + 284592.
(j + 924)**2/3
Suppose 2*b**5/11 - 12*b**4/11 + 16*b**3/11 + 12*b**2/11 - 18*b/11 = 0. What is b?
-1, 0, 1, 3
Solve -5*k**2 - 80*k - 275 = 0 for k.
-11, -5
Let -y**3 - 23*y**2 - 96*y - 108 = 0. What is y?
-18, -3, -2
Factor 3*y**4 + 54*y**3 + 351*y**2 + 972*y + 972.
3*(y + 3)**2*(y + 6)**2
Let -d**4/5 - 341*d**3/5 + 1722*d**2/5 - 2764*d/5 + 1384/5 = 0. Calculate d.
-346, 1, 2
Determine j, given that -5*j**3/4 - 225*j**2/2 - 430*j = 0.
-86, -4, 0
Factor 185*o**2 + 190*o + 5.
5*(o + 1)*(37*o + 1)
Factor -3*i**3/5 + 23607*i**2/5 - 61921161*i/5 + 54139735101/5.
-3*(i - 2623)**3/5
Determine p, given that -7*p**5 + 5*p**4 + 16*p**3 + 4*p**2 = 0.
-1, -2/7, 0, 2
Determine p, given that 2*p**3/19 + 642*p**2/19 + 2542*p/19 + 1902/19 = 0.
-317, -3, -1
Solve -a**2 - 314*a - 933 = 0 for a.
-311, -3
Factor -4*y**4 - 26*y**3 - 32*y**2 - 10*y.
-2*y*(y + 1)*(y + 5)*(2*y + 1)
Find x, given that 2*x**4/3 - 30*x**3 - 94*x**2/3 + 30*x + 92/3 = 0.
-1, 1, 46
Factor 4*h**5 + 61*h**4 + 171*h**3 + 187*h**2 + 85*h + 12.
(h + 1)**3*(h + 12)*(4*h + 1)
Suppose -4*q**5 - 12*q**4 + 24*q**3 + 32*q**2 = 0. What is q?
-4, -1, 0, 2
Factor m**2/4 + 9*m/4 + 5.
(m + 4)*(m + 5)/4
Suppose 2*t**5/5 + 24*t**4/5 + 88*t**3/5 + 84*t**2/5 - 18*t - 108/5 = 0. What is t?
-6, -3, -1, 1
Suppose -15*m**3 - 2455*m**2 - 8780*m + 3200 = 0. What is m?
-160, -4, 1/3
Factor 2*x**4/3 - 10*x**3 + 16*x**2/3 + 56*x.
2*x*(x - 14)*(x - 3)*(x + 2)/3
Let -u**2 + 14*u + 147 = 0. Calculate u.
-7, 21
Factor -7*x**3/4 + 13*x**2/2 - 13*x/4 - 3/2.
-(x - 3)*(x - 1)*(7*x + 2)/4
Determine r, given that 3*r**4/5 - 69*r**2/5 - 54*r/5 + 24 = 0.
-4, -2, 1, 5
Factor 2*l**4/19 - 6*l**3/19 + 6*l**2/19 - 2*l/19.
2*l*(l - 1)**3/19
Factor 5*o**3 + 1360*o**2 + 2705*o + 1350.
5*(o + 1)**2*(o + 270)
Suppose 4*v**4 + 88*v**3 + 304*v**2 + 288*v = 0. What is v?
-18, -2, 0
Factor 5*b**4 - 65*b**3 - 365*b**2 + 425*b.
5*b*(b - 17)*(b - 1)*(b + 5)
Find q such that q**3/4 + 91*q**2/4 + 22*q - 45 = 0.
-90, -2, 1
Solve -2*n**3/3 - 4*n**2/3 + 2*n/3 + 4/3 = 0 for n.
-2, -1, 1
Factor 2*w**2/7 - 242*w/7 - 244/7.
2*(w - 122)*(w + 1)/7
Factor -10*t**3/3 - 95*t**2/3 + 50*t/3.
-5*t*(t + 10)*(2*t - 1)/3
Factor u**4 - 42*u**3 + 192*u**2 - 262*u + 111.
(u - 37)*(u - 3)*(u - 1)**2
Let 375*u**5 - 2225*u**4 + 3065*u**3 - 495*u**2 - 640*u - 80 = 0. What is u?
-1/5, 1, 4/3, 4
Factor 42*l**3 + 236*l**2 + 134*l + 20.
2*(l + 5)*(3*l + 1)*(7*l + 2)
Let 3*w**2/4 + 123*w/2 - 1350 = 0. Calculate w.
-100, 18
Determine z so that 6*z**5 - 196*z**4 + 110*z**3 + 600*z**2 - 776*z + 256 = 0.
-2, 2/3, 1, 32
Determine i, given that 5*i**3 + 30*i**2 - 35*i - 300 = 0.
-5, -4, 3
Let 4*v**2 + 888*v + 7668 = 0. What is v?
-213, -9
Factor 9*k**2 - 633*k - 426.
3*(k - 71)*(3*k + 2)
What is y in -2*y**2/3 + 1988*y + 5966/3 = 0?
-1, 2983
Determine c so that -c**2/9 + 14*c/3 + 15 = 0.
-3, 45
Determine d so that -d**2/6 - 13*d/6 - 6 = 0.
-9, -4
Let -5*l**4 + 150*l**3 - 635*l**2 + 210*l + 1000 = 0. Calculate l.
-1, 2, 4, 25
Factor -x**4/8 - 311*x**3/8 + x**2/8 + 311*x/8.
-x*(x - 1)*(x + 1)*(x + 311)/8
Factor -g**3 - 13*g**2 - 40*g - 36.
-(g + 2)**2*(g + 9)
Find g, given that -g**2/2 + 3*g - 5/2 = 0.
1, 5
Factor -5*k**4 - 90*k**3 + 100*k**2 + 90*k - 95.
-5*(k - 1)**2*(k + 1)*(k + 19)
Suppose -8*g**3 - 28*g**2 + 112*g - 48 = 0. What is g?
-6, 1/2, 2
Let 11*z**4/4 - 8*z**3 + 7*z**2/4 + 19*z/2 - 6 = 0. Calculate z.
-12/11, 1, 2
Determine m, given that m**5