*k/9 - 112/3.
2*(k - 12)*(k + 14)/9
Factor 4*u**3 + 60*u**2 + 48*u - 112.
4*(u - 1)*(u + 2)*(u + 14)
Let -3*v**5/4 + 45*v**4/4 - 60*v**3 + 150*v**2 - 180*v + 84 = 0. What is v?
2, 7
Suppose -6*z**5 + 5259*z**4 - 1158936*z**3 + 2875026*z**2 - 2294250*z + 572907 = 0. What is z?
1/2, 1, 437
Determine k, given that -2*k**3 - 60*k**2 - 450*k = 0.
-15, 0
Factor -4*a**2 + 364*a - 1392.
-4*(a - 87)*(a - 4)
What is k in -4*k**2 - 136*k - 1120 = 0?
-20, -14
Find f such that -22*f**3 - 130*f**2 - 188*f - 80 = 0.
-4, -1, -10/11
Let -3*v**5/7 - 57*v**4/7 - 54*v**3 - 972*v**2/7 - 648*v/7 = 0. What is v?
-6, -1, 0
Factor 3*c**4/2 + 45*c**3/2 + 117*c**2/2 - 165*c/2.
3*c*(c - 1)*(c + 5)*(c + 11)/2
Factor -3*d**3 - 123*d**2 - 456*d - 444.
-3*(d + 2)**2*(d + 37)
Solve -2*o**3/5 + 36*o**2/5 + 2*o/5 - 36/5 = 0 for o.
-1, 1, 18
Determine u so that 2*u**2/5 - 22*u/5 + 48/5 = 0.
3, 8
Let -v**3/2 + 43*v/2 + 21 = 0. Calculate v.
-6, -1, 7
Factor -2*n**4/7 - 1308*n**3/7 + 2622*n**2/7 - 1312*n/7.
-2*n*(n - 1)**2*(n + 656)/7
Find h such that 3*h**5/4 - 15*h**3/2 + 27*h/4 = 0.
-3, -1, 0, 1, 3
Factor d**5 + 5*d**4.
d**4*(d + 5)
Factor -4*v**4 - 120*v**3 - 1200*v**2 - 4000*v.
-4*v*(v + 10)**3
Solve -a**3/3 + 440*a**2/3 + a/3 - 440/3 = 0.
-1, 1, 440
Factor 4*o**4 + 184*o**3 + 148*o**2 - 1488*o - 2160.
4*(o - 3)*(o + 2)**2*(o + 45)
Factor 2*u**4 + 50*u**3 + 408*u**2 + 1160*u + 800.
2*(u + 1)*(u + 4)*(u + 10)**2
Suppose 2*a**5/3 - 4*a**4/3 - 32*a**3/3 + 64*a**2/3 = 0. What is a?
-4, 0, 2, 4
Factor -2*q**4/5 + 316*q**3/5 - 12794*q**2/5 + 24648*q/5 - 12168/5.
-2*(q - 78)**2*(q - 1)**2/5
Suppose -2*y**2/5 + 641*y/10 - 16 = 0. Calculate y.
1/4, 160
Factor 2*y**3 - 28*y**2 - 34*y + 60.
2*(y - 15)*(y - 1)*(y + 2)
Suppose 5*t**2 + 495*t + 2790 = 0. What is t?
-93, -6
Find h, given that -5*h**4 + 3515*h**3 - 7015*h**2 + 3505*h = 0.
0, 1, 701
What is d in -2*d**2/13 + 12*d/13 - 10/13 = 0?
1, 5
Let o**4/3 + 2*o**3/3 - 12*o**2 - 54*o - 63 = 0. Calculate o.
-3, 7
Let 155*x**5/4 - 315*x**4/4 + 5*x**3/2 + 155*x**2/2 - 165*x/4 + 5/4 = 0. Calculate x.
-1, 1/31, 1
Factor -9*s**3/7 - 30*s**2/7 - 27*s/7 - 6/7.
-3*(s + 1)*(s + 2)*(3*s + 1)/7
Factor -2*r**2/7 - 2514*r/7 - 2512/7.
-2*(r + 1)*(r + 1256)/7
Factor 4*s**2 - 108*s + 104.
4*(s - 26)*(s - 1)
Solve 5*r**5 - 5*r**4 - 220*r**3 - 500*r**2 + 80*r + 640 = 0 for r.
-4, -2, 1, 8
Solve 16*q**5 + 24*q**4 - 1180*q**3 + 1714*q**2 - 846*q + 140 = 0.
-10, 1/2, 7
Factor 2*w**3/13 - 18*w**2/13 + 30*w/13 + 50/13.
2*(w - 5)**2*(w + 1)/13
Determine l so that 5*l**4 - 6070*l**3 + 2454300*l**2 - 329690250*l - 332150625 = 0.
-1, 405
Factor 2*u**4/5 + 14*u**3/5 - 6*u**2/5 - 38*u/5 + 28/5.
2*(u - 1)**2*(u + 2)*(u + 7)/5
Factor x**4/2 + 859*x**3/2 - 1721*x**2/2 + 861*x/2.
x*(x - 1)**2*(x + 861)/2
Factor x**5 - 2*x**4 - 8*x**3.
x**3*(x - 4)*(x + 2)
Factor -12*h**2 - 1149*h + 288.
-3*(h + 96)*(4*h - 1)
Factor -15*y**4 + 5*y**3 + 15*y**2 - 5*y.
-5*y*(y - 1)*(y + 1)*(3*y - 1)
Determine p so that -3*p**2 + 78*p - 504 = 0.
12, 14
Factor -p**4/8 + p**3/8 + 5*p**2/8 + 3*p/8.
-p*(p - 3)*(p + 1)**2/8
Factor v**2/2 + 13*v/2 + 11.
(v + 2)*(v + 11)/2
Let -5*c**2 - 3650*c - 666125 = 0. What is c?
-365
What is g in g**3/6 - 34*g**2 + 3663*g/2 - 9801 = 0?
6, 99
Determine w so that -w**4 + 2*w**3 + 12*w**2 - 8*w - 32 = 0.
-2, 2, 4
Factor 4*n**2 + 2680*n + 448900.
4*(n + 335)**2
Find t, given that -t**2/6 + 20*t/3 - 37/2 = 0.
3, 37
Find p such that 9*p**4 - 456*p**3 - 159*p**2 + 306*p = 0.
-1, 0, 2/3, 51
Factor -w**4/6 + 11*w**3/6 - 19*w**2/6 + 3*w/2.
-w*(w - 9)*(w - 1)**2/6
Factor -3*a**5/2 - 78*a**4 - 441*a**3/2.
-3*a**3*(a + 3)*(a + 49)/2
Factor j**4 - 49*j**3 + 536*j**2 - 884*j.
j*(j - 34)*(j - 13)*(j - 2)
What is t in t**2/3 - 99*t - 598/3 = 0?
-2, 299
Let 6*y**4/11 - 204*y**3 + 212046*y**2/11 - 37944*y + 207576/11 = 0. What is y?
1, 186
Factor 32*s**5/3 - 4*s**4/9.
4*s**4*(24*s - 1)/9
Solve -12*r**2/5 - 9933*r/5 + 2484/5 = 0 for r.
-828, 1/4
Suppose -2*g**4/9 + 226*g**3/9 - 664*g**2/9 + 440*g/9 = 0. What is g?
0, 1, 2, 110
Factor 2*x**4 - 12*x**3 + 16*x**2 + 12*x - 18.
2*(x - 3)**2*(x - 1)*(x + 1)
Suppose -2*w**2 + 32*w = 0. Calculate w.
0, 16
What is q in 2*q**4/5 - 106*q**3/5 + 1452*q**2/5 - 1144*q/5 - 2704/5 = 0?
-1, 2, 26
Determine n so that n**2/7 - 82*n/7 + 1152/7 = 0.
18, 64
Factor -2*b**3/9 + 2*b**2 + 20*b.
-2*b*(b - 15)*(b + 6)/9
Factor -v**3/6 + 11*v**2/6 + 21*v.
-v*(v - 18)*(v + 7)/6
Factor -3*t**2/4 - 69*t - 135.
-3*(t + 2)*(t + 90)/4
Factor -5*g**2 - 225*g + 470.
-5*(g - 2)*(g + 47)
Factor -2*r**3/7 + 12*r**2 + 90*r/7 - 172/7.
-2*(r - 43)*(r - 1)*(r + 2)/7
Factor 3*v**5 - 30*v**3 + 60*v**2 - 45*v + 12.
3*(v - 1)**4*(v + 4)
Find m, given that -22*m**5/9 - 20*m**4/9 + 68*m**3/9 + 104*m**2/9 + 34*m/9 - 4/9 = 0.
-1, 1/11, 2
Determine j so that 8*j**5/21 + 22*j**4/21 + 10*j**3/21 - 4*j**2/21 = 0.
-2, -1, 0, 1/4
Determine w so that -2*w**2/5 - 3568*w/5 = 0.
-1784, 0
Let 2*b**4/7 + 4*b**3 + 18*b**2/7 - 16*b - 104/7 = 0. Calculate b.
-13, -2, -1, 2
Factor u**4 - 117*u**3 - 120*u**2 + 236*u.
u*(u - 118)*(u - 1)*(u + 2)
Determine u, given that 21*u**3 - 1299*u**2 - 1509*u - 189 = 0.
-1, -1/7, 63
Let y**3/4 - 9*y**2 + 96*y - 256 = 0. What is y?
4, 16
What is p in -7*p**3 - 261*p**2 - 1194*p - 320 = 0?
-32, -5, -2/7
Factor 2*h**2/5 + 44*h/5 + 114/5.
2*(h + 3)*(h + 19)/5
Determine l, given that -512*l**2/5 + 2496*l/5 - 3042/5 = 0.
39/16
Factor w**5/2 + 57*w**4 + 2166*w**3 + 27436*w**2.
w**2*(w + 38)**3/2
Solve 3*l**3/4 + 255*l**2/4 - 264*l + 267 = 0 for l.
-89, 2
Let 28*s**4 - 8416*s**3/5 + 9204*s**2/5 + 16*s/5 - 944/5 = 0. Calculate s.
-2/7, 2/5, 1, 59
Factor -3*y**3 + 81*y**2 - 330*y.
-3*y*(y - 22)*(y - 5)
Suppose -v**2/4 - 17*v/4 - 15/2 = 0. Calculate v.
-15, -2
Solve 8*w**5/7 + 114*w**4/7 + 132*w**3/7 + 26*w**2/7 = 0 for w.
-13, -1, -1/4, 0
Factor 2*h**5/3 + 2*h**4 - 14*h**3/3 - 14*h**2/3 + 12*h - 16/3.
2*(h - 1)**3*(h + 2)*(h + 4)/3
Solve 2*g**3/9 + 34*g**2/9 - 40*g/9 - 8 = 0.
-18, -1, 2
Factor 48*f**3 - 572*f**2 - 52*f + 48.
4*(f - 12)*(3*f + 1)*(4*f - 1)
Let -3*r**3 + 33*r**2 + 3*r - 33 = 0. Calculate r.
-1, 1, 11
Factor 5*u**3 + 1010*u**2 - 1015*u.
5*u*(u - 1)*(u + 203)
Factor -2*z**3/13 + 1242*z**2/13.
-2*z**2*(z - 621)/13
Let h**5/6 - 14*h**4/3 + 77*h**3/6 - 25*h**2/3 = 0. What is h?
0, 1, 2, 25
Suppose -5*a**4 + 65*a**3 - 85*a**2 - 305*a + 330 = 0. What is a?
-2, 1, 3, 11
Factor -3*y**3 - 405*y**2 + 1656*y - 1668.
-3*(y - 2)**2*(y + 139)
Suppose -15138*k**4 - 348*k**3 - 2*k**2 = 0. Calculate k.
-1/87, 0
What is g in 4*g**4 - 1280*g**3 + 106164*g**2 - 601624*g + 788768 = 0?
2, 4, 157
Factor 2*j**2 - 214*j + 212.
2*(j - 106)*(j - 1)
Factor -2*k**3 + 180*k**2 - 5400*k + 54000.
-2*(k - 30)**3
Determine z, given that z**4 - 7*z**3 - z**2 + 7*z = 0.
-1, 0, 1, 7
Suppose -t**3 - 80*t**2 + 163*t - 82 = 0. Calculate t.
-82, 1
Let -16*q**4/9 - 8*q**3 - 28*q**2/3 - 38*q/9 - 2/3 = 0. What is q?
-3, -1/2
What is j in j**5/4 + j**4/4 - 69*j**3/4 + 211*j**2/4 - 5*j - 75 = 0?
-10, -1, 2, 3, 5
Find h such that -4*h**5 - 6*h**4 + 22*h**3 + 6*h**2 - 18*h = 0.
-3, -1, 0, 1, 3/2
Solve m**3 - m**2 - 56*m = 0.
-7, 0, 8
Suppose -3*r**3 + 63*r**2 - 117*r - 2535 = 0. What is r?
-5, 13
Find d such that -3*d**4 + 99*d**3 + 213*d**2 - 99*d - 210 = 0.
-2, -1, 1, 35
Determine o, given that o**5/4 + 16*o**4 - o**3/2 - 32*o**2 + o/4 + 16 = 0.
-64, -1, 1
Suppose 2*o**4/5 + 2*o**3 + 18*o**2/5 + 14*o/5 + 4/5 = 0. Calculate o.
-2, -1
Factor x**3 + 130*x**2 - x - 130.
(x - 1)*(x + 1)*(x + 130)
What is r in 2*r**3/17 - 212*r**2/17 + 622*r/17 - 412/17 = 0?
1, 2, 103
Factor j**3 - 323*j**2 + 643*j - 321.
(j - 321)*(j - 1)**2
Find f, given that -3*f**4 + 9*f**3 - 12*f = 0.
-1, 0, 2
Factor -u**4/3 - 16*u**3/3 - 79*u**2/3 - 52*u - 36.
-(u + 2)**2*(u + 3)*(u + 9)/3
Factor -2*k**3/7 + 18*k**2/7 - 40*k/7.
-2*k*(k - 5)*(k - 4)/7
Let a**4/5 + 14*a**3/5 + 13*a**2 + 20*a = 0. Calculate a.
-5, -4, 0
Factor 4*n**3/3 + 100*n**2/3 + 400*n/3.
4*n*(n + 5)*(n + 20)/3
Factor 14*q**2/3 - 194*q/21 - 4/21.
2*(q - 2)*(49*q + 1)/21
Determine p, given that -2*p**5 + 18*p**4 - 30*p**3 + 14*p**2 = 0.
0, 1, 7
Suppose -16*r**5/5 - 116*r**4/5 - 268*r**3/5 - 204*r**2/5 - 36*r/5 = 0. What is r?
-3, -1, -1/4, 0
Factor -3*z**2/2 + 3300*z - 1815000.
-3*(z - 1100)**2/2
Factor -3*t**3/4 - 219*t**2/4 - 5073*t/4 - 37905/4.
-3*(t + 19)**2*