d + 212)/3
Suppose 245*m**5/6 - 7*m**4/2 - 247*m**3/6 + 7*m**2/2 + m/3 = 0. What is m?
-1, -2/35, 0, 1/7, 1
Determine g, given that 5*g**4 + 255*g**3 - 855*g**2 - 2455*g - 1350 = 0.
-54, -1, 5
Factor -m**2/2 - 54*m - 1458.
-(m + 54)**2/2
Solve 3*z**4/7 - 279*z**3/7 - 282*z**2/7 = 0 for z.
-1, 0, 94
Factor -3*f**3/5 - 39*f**2/5 + 192*f/5 - 204/5.
-3*(f - 2)**2*(f + 17)/5
Suppose -3*l**5/4 + 71*l**4/4 - 175*l**3/4 + 149*l**2/4 - 21*l/2 = 0. Calculate l.
0, 2/3, 1, 21
Factor o**3/3 + 22*o**2/3 + 160*o/3 + 128.
(o + 6)*(o + 8)**2/3
Suppose g**5/9 - 77*g**4/9 + 181*g**3 + 2929*g**2/9 - 304442*g/9 + 195112/3 = 0. Calculate g.
-12, 2, 29
Factor -2*u**3/9 - 14*u**2/9 - 10*u/3 - 2.
-2*(u + 1)*(u + 3)**2/9
Factor -4*x**2/7 - 36*x/7.
-4*x*(x + 9)/7
Factor 3*b**3 + 93*b**2 - 3*b - 93.
3*(b - 1)*(b + 1)*(b + 31)
Factor 3*j**4 + 132*j**3 + 255*j**2 + 126*j.
3*j*(j + 1)**2*(j + 42)
Let -n**3/3 - 20*n**2/3 - 17*n/3 + 38/3 = 0. What is n?
-19, -2, 1
Find y, given that -y**5/3 + 65*y**4 - 3264*y**3 + 27644*y**2/3 + 256*y - 12288 = 0.
-1, 2, 96
Factor -5*n**5 + 20*n**4 + 205*n**3 - 1180*n**2 + 880*n + 2240.
-5*(n - 4)**3*(n + 1)*(n + 7)
Factor 10*y**2/9 - 82*y/9 + 16/9.
2*(y - 8)*(5*y - 1)/9
Find q such that 3*q**5 + 29*q**4 - 478*q**3 - 5058*q**2 - 2981*q + 1573 = 0.
-11, -1, 1/3, 13
Factor 4*l**2 - 132*l + 128.
4*(l - 32)*(l - 1)
Suppose -5*j**3/3 - 85*j**2/3 - 370*j/3 - 440/3 = 0. What is j?
-11, -4, -2
Solve w**2 + 24*w + 23 = 0 for w.
-23, -1
Find i, given that i**2/5 + 36*i/5 + 224/5 = 0.
-28, -8
Determine y so that 20*y**5 + 1995*y**4 - 6680*y**3 + 1625*y**2 + 8220*y - 2060 = 0.
-103, -1, 1/4, 2
Factor u**2 - 306*u.
u*(u - 306)
Factor -2*c**3 - 6004*c**2 - 4499992*c + 9024016.
-2*(c - 2)*(c + 1502)**2
Let -2*x**3 + 4*x**2 + 46*x - 120 = 0. What is x?
-5, 3, 4
Find o such that 2*o**5 + 8*o**4 - 22*o**3 - 52*o**2 + 128*o - 64 = 0.
-4, 1, 2
Factor 4*k**2 + 92*k + 88.
4*(k + 1)*(k + 22)
Factor 2*r**4/3 + 28*r**3/3 - 10*r**2.
2*r**2*(r - 1)*(r + 15)/3
Factor 3*l**2 + 123*l - 258.
3*(l - 2)*(l + 43)
Factor -4*b**2 + 580*b - 5400.
-4*(b - 135)*(b - 10)
Factor -5*u**4 - 35*u**3 + 205*u**2 - 165*u.
-5*u*(u - 3)*(u - 1)*(u + 11)
Determine w so that -44*w**5/7 + 12*w**4/7 + 88*w**3/7 - 24*w**2/7 - 44*w/7 + 12/7 = 0.
-1, 3/11, 1
Factor -2*s**5 - 16*s**4 - 50*s**3 - 76*s**2 - 56*s - 16.
-2*(s + 1)**2*(s + 2)**3
Factor -12*d**4 + 9*d**3 + 27*d**2 + 6*d.
-3*d*(d - 2)*(d + 1)*(4*d + 1)
Let 2*r**5/9 + 16*r**4/3 - 92*r**3/3 + 400*r**2/9 - 58*r/3 = 0. What is r?
-29, 0, 1, 3
Suppose -2*r**2/9 - 2*r/3 - 4/9 = 0. Calculate r.
-2, -1
Factor 5*t**3 - 265*t**2 + 1230*t - 1440.
5*(t - 48)*(t - 3)*(t - 2)
Suppose 3*u**2 + 453*u - 1386 = 0. What is u?
-154, 3
Determine h so that -25*h**5 - 38*h**4/3 + 61*h**3 - 26*h**2 + 8*h/3 = 0.
-2, 0, 4/25, 1/3, 1
Determine o so that o**3 - 3*o**2 - o + 3 = 0.
-1, 1, 3
Determine v, given that -2*v**5 - 354*v**4 - 350*v**3 + 354*v**2 + 352*v = 0.
-176, -1, 0, 1
Factor 4*y**2/3 + 52*y + 680/3.
4*(y + 5)*(y + 34)/3
Determine f so that f**3/6 - 40*f**2 - 727*f/6 - 81 = 0.
-2, -1, 243
Factor -h**2/3 + 8*h.
-h*(h - 24)/3
Solve 2*d**4/9 + 26*d**3/3 - 82*d**2/3 + 250*d/9 - 28/3 = 0 for d.
-42, 1
Factor 3*s**3 + s**2 - 5*s/3 + 1/3.
(s + 1)*(3*s - 1)**2/3
Find n, given that n**5/5 + 32*n**4/5 + 256*n**3/5 = 0.
-16, 0
Factor 2*k**3/9 + 2*k**2 - 14*k/3 + 22/9.
2*(k - 1)**2*(k + 11)/9
Factor 2*l**2 - 238*l + 6536.
2*(l - 76)*(l - 43)
Solve -5*p**5 + 35*p**4 + 55*p**3 - 115*p**2 - 50*p + 80 = 0.
-2, -1, 1, 8
What is x in -4*x**2 - 4*x = 0?
-1, 0
Let -3*h**5 - 19*h**4 - 133*h**3/3 - 45*h**2 - 50*h/3 = 0. Calculate h.
-2, -5/3, -1, 0
Factor 3*g**3/2 - 855*g**2/2 + 2934*g - 4170.
3*(g - 278)*(g - 5)*(g - 2)/2
Determine u, given that 2*u**4/3 + 178*u**3/3 + 648*u**2 + 7520*u/3 + 9856/3 = 0.
-77, -4
Factor k**4/4 + 3*k**3/2 + 3*k**2 + 5*k/2 + 3/4.
(k + 1)**3*(k + 3)/4
Factor 3*r**4/7 - 24*r**3/7 + 72*r**2/7 - 96*r/7 + 48/7.
3*(r - 2)**4/7
Solve -3*r**3/2 - 13*r**2/6 - 2*r/3 = 0 for r.
-1, -4/9, 0
Determine x so that 15*x**4 + 126*x**3 + 33*x**2 - 126*x - 48 = 0.
-8, -1, -2/5, 1
Solve 2*f**4 + 20*f**3 + 26*f**2 - 120*f + 72 = 0 for f.
-6, 1
Factor -72*c**3 + 48*c**2 + 70*c - 50.
-2*(c + 1)*(6*c - 5)**2
Factor 2*d**2/7 - 676*d + 399854.
2*(d - 1183)**2/7
Find g, given that 2*g**2/9 + 16*g/9 + 14/9 = 0.
-7, -1
Factor -r**3/4 + 3*r**2/4 + 9*r/4 - 27/4.
-(r - 3)**2*(r + 3)/4
Factor 4*z**2 + 1204*z.
4*z*(z + 301)
Factor -2*o**3/9 + 64*o**2/9 - 14*o/3 - 980.
-2*(o - 21)**2*(o + 10)/9
Factor -2*d**4 + 130*d**3 - 2772*d**2 + 18392*d + 21296.
-2*(d - 22)**3*(d + 1)
Factor -4*q**2/7 + 7816*q/7 + 7820/7.
-4*(q - 1955)*(q + 1)/7
Find f, given that -2*f**3/5 + 16*f**2/5 + 1602*f/5 + 1584/5 = 0.
-24, -1, 33
Factor -a**4/4 + 9*a**3/4 + 39*a**2/2 + 43*a + 30.
-(a - 15)*(a + 2)**3/4
Factor -5*t**4/2 - 11*t**3 - 14*t**2 - 4*t.
-t*(t + 2)**2*(5*t + 2)/2
Suppose 3*c**3/8 - 90*c**2 - 4401*c/8 - 3321/4 = 0. What is c?
-3, 246
Determine s so that -3*s**4 - 47*s**3 - 30*s**2 = 0.
-15, -2/3, 0
Factor k**2/3 + 4*k/3 - 5/3.
(k - 1)*(k + 5)/3
Factor 2*a**4 - 8*a**3 - 22*a**2 + 132*a - 144.
2*(a - 3)**2*(a - 2)*(a + 4)
Solve -5*g**3 - 475*g**2 - 11515*g - 11045 = 0 for g.
-47, -1
Factor 182*i**3/3 + 1093*i**2/3 - 1268*i/3 - 7/3.
(i - 1)*(i + 7)*(182*i + 1)/3
Factor -2*j**3/5 - 52*j**2/5 + 232*j/5 - 48.
-2*(j - 2)**2*(j + 30)/5
Solve h**4/4 + h**3 - 151*h**2/4 - 77*h/2 = 0.
-14, -1, 0, 11
Find t, given that -3*t**5/7 + 99*t**4/7 - 654*t**3/7 - 2700*t**2/7 - 1944*t/7 = 0.
-2, -1, 0, 18
Factor 25*y**2 + 155*y - 2310.
5*(y - 7)*(5*y + 66)
Solve 3*g**5/4 + 21*g**4/4 + 45*g**3/4 + 39*g**2/4 + 3*g = 0 for g.
-4, -1, 0
Let v**4 - 66*v**3 + 191*v**2 - 126*v = 0. Calculate v.
0, 1, 2, 63
Find v, given that 2*v**4/7 - 60*v**3 - 2606*v**2/7 + 432*v = 0.
-7, 0, 1, 216
What is x in -2*x**3/11 + 11288*x**2/11 - 15927368*x/11 = 0?
0, 2822
Solve -10*f**4 + 432*f**3 - 4486*f**2 - 3960*f + 968 = 0 for f.
-1, 1/5, 22
Find w such that 3*w**2/8 + 39*w/8 + 9/2 = 0.
-12, -1
Let -16*h**4 + 76*h**3 + 20*h**2 = 0. Calculate h.
-1/4, 0, 5
Factor q**2/5 - 203*q/5.
q*(q - 203)/5
Determine k so that -k**3/2 - 13*k**2/2 - 19*k/2 + 33/2 = 0.
-11, -3, 1
Factor 4*s**3 + 248*s**2 + 3844*s.
4*s*(s + 31)**2
Determine y so that y**2/9 + 11*y/9 + 2 = 0.
-9, -2
Factor 2*s**4/7 - 440*s**3/7 + 25896*s**2/7 - 186560*s/7 + 359552/7.
2*(s - 106)**2*(s - 4)**2/7
Factor 2*a**2/3 - 1768*a - 10616/3.
2*(a - 2654)*(a + 2)/3
Factor g**3/6 - g**2/6 - g/6 + 1/6.
(g - 1)**2*(g + 1)/6
Solve 3*l**5/5 + 12*l**4 + 378*l**3/5 + 588*l**2/5 - 1029*l/5 = 0 for l.
-7, 0, 1
Suppose -14*v**3/19 + 200*v**2/19 - 56*v/19 = 0. What is v?
0, 2/7, 14
Factor -z**2 - 314*z - 24649.
-(z + 157)**2
Factor -y**5/6 + 59*y**4/3 - 4561*y**3/6 + 27260*y**2/3 + 61600*y/3 + 32000/3.
-(y - 40)**3*(y + 1)**2/6
Factor v**3 - 86*v**2 + 1225*v + 28812.
(v - 49)**2*(v + 12)
Let -n**3/3 + 145*n**2/3 + n/3 - 145/3 = 0. Calculate n.
-1, 1, 145
Determine k so that 4*k**2/5 + 52*k/5 - 56/5 = 0.
-14, 1
Solve -t**3/3 + 29*t**2/3 + 10*t = 0 for t.
-1, 0, 30
Solve -3*g**4 + 47*g**3 - 149*g**2 - 271*g - 72 = 0.
-1, -1/3, 8, 9
Factor 2*d**3 - 44*d**2/5 + 2*d + 24/5.
2*(d - 4)*(d - 1)*(5*d + 3)/5
Factor -3*a**2/8 + 456*a - 1821/2.
-3*(a - 1214)*(a - 2)/8
Solve 3*c**5/2 - 36*c**4 + 531*c**3/2 - 483*c**2 - 990*c + 2700 = 0.
-2, 3, 10
Factor 5*x**2/6 + x.
x*(5*x + 6)/6
Let -3*i**2 - 612*i + 615 = 0. What is i?
-205, 1
Factor -4*u**3 + 12*u**2 + 112*u - 240.
-4*(u - 6)*(u - 2)*(u + 5)
Find a, given that a**5 + 3*a**4 - 80*a**3 + 300*a**2 - 416*a + 192 = 0.
-12, 1, 2, 4
Suppose 2*n**3 - 3150*n**2 + 3148*n = 0. Calculate n.
0, 1, 1574
Determine w so that 3*w**3/2 + 4*w**2 - 70*w - 48 = 0.
-8, -2/3, 6
Factor -l**4 + 11*l**3 + 42*l**2 + 4*l - 56.
-(l - 14)*(l - 1)*(l + 2)**2
Suppose -45*b**2 - 3*b/5 = 0. Calculate b.
-1/75, 0
Find z, given that z**2/4 + 271*z/2 = 0.
-542, 0
Factor v**2/5 + 11*v/5 - 180.
(v - 25)*(v + 36)/5
Factor -3*r**2/5 + 27*r/5 + 216.
-3*(r - 24)*(r + 15)/5
Factor -2*y**4 + 22*y**3 + 26*y**2 - 22*y - 24.
-2*(y - 12)*(y - 1)*(y + 1)**2
Solve 2*y**2/23 - 4*y/23 + 2/23 = 0 for y.
1
What is t in -t**5 - 50*t**4 = 0?
-50, 0
Factor -2*f**2/9 - 1336*f/3 - 223112.
-2*(f + 1002)**2/9
Let -2*b**2/11 + 1112*b/11 + 4480/11 = 0. Calculate b.
-4, 560
Let h**4 - 17*h**3 + 35*h**2 + 425*h -