**2/3.
-2*m**2/3
Solve 3*x**2/4 - 177*x/4 + 171/2 = 0 for x.
2, 57
Factor -2*r**3/9 + 70*r**2/9 + 236*r/9 - 304/9.
-2*(r - 38)*(r - 1)*(r + 4)/9
Factor 3*o**4 - 6*o**3 - 36*o**2 - 42*o - 15.
3*(o - 5)*(o + 1)**3
Determine b, given that b**5 + 9*b**4 + 18*b**3 - 4*b**2 - 24*b = 0.
-6, -2, 0, 1
Solve -q**4 - 2*q**3 + q**2 + 2*q = 0.
-2, -1, 0, 1
Factor w**2/2 + 895*w/2 - 897.
(w - 2)*(w + 897)/2
Suppose 62*f**3 - 40*f**2 - 62*f + 40 = 0. Calculate f.
-1, 20/31, 1
Solve -2*i**4/3 - 8*i**3 - 64*i**2/3 = 0 for i.
-8, -4, 0
Factor 20*x**2 - 238*x - 24.
2*(x - 12)*(10*x + 1)
Factor -5*m**3/4 + 175*m**2/4 - 165*m/2.
-5*m*(m - 33)*(m - 2)/4
Determine t so that 2*t**4 + 10*t**3 - 26*t**2 + 14*t = 0.
-7, 0, 1
Suppose -3*s**2 + 576*s = 0. Calculate s.
0, 192
Factor -3*v**3 + 27*v**2 + 120*v - 144.
-3*(v - 12)*(v - 1)*(v + 4)
Factor p**4/4 + 3*p**3/4 - p**2/2 - 3*p - 2.
(p - 2)*(p + 1)*(p + 2)**2/4
Factor -2*l**3/7 + 20*l**2/7 + 192*l/7.
-2*l*(l - 16)*(l + 6)/7
Suppose 3*h**2 + 18*h = 0. Calculate h.
-6, 0
Factor -49*d**2/6 + 56*d - 96.
-(7*d - 24)**2/6
Find a such that 2*a**5/7 + 8*a**4 - 60*a**3/7 - 8*a**2 + 58*a/7 = 0.
-29, -1, 0, 1
Factor -4*w**3 + 60*w**2 + 72*w - 128.
-4*(w - 16)*(w - 1)*(w + 2)
Factor a**4/3 + 4*a**3 + 13*a**2/3 - 22*a + 40/3.
(a - 1)**2*(a + 4)*(a + 10)/3
Suppose -2*m**4 - 56*m**3/5 + 424*m**2/5 - 32*m = 0. What is m?
-10, 0, 2/5, 4
Factor -x**3/7 + 115*x**2/7 - 416*x + 21248/7.
-(x - 83)*(x - 16)**2/7
Suppose -3*t**3/8 - 21*t**2/2 - 231*t/8 - 75/4 = 0. Calculate t.
-25, -2, -1
Factor -5*d**3 + 35*d**2 + 50*d - 80.
-5*(d - 8)*(d - 1)*(d + 2)
Determine i so that 6*i**4 + 92*i**3 - 274*i**2 + 248*i - 72 = 0.
-18, 2/3, 1
Let 3*n**3 + 726*n**2 + 43923*n = 0. What is n?
-121, 0
Factor -2*h**2/3 - 392*h/3 - 19208/3.
-2*(h + 98)**2/3
Find k, given that -k**5 - 12*k**4 - 45*k**3 - 50*k**2 = 0.
-5, -2, 0
Determine a so that -2*a**3/11 + 74*a**2/11 - 720*a/11 + 648/11 = 0.
1, 18
Let -i**2/2 - 94*i + 573/2 = 0. What is i?
-191, 3
Factor -3*j**2/2 - 117*j/2.
-3*j*(j + 39)/2
Factor -62001*i**2/2 - 3486*i - 98.
-(249*i + 14)**2/2
Factor 2*d**3/9 + 628*d**2/9 + 47360*d/9 - 102400/3.
2*(d - 6)*(d + 160)**2/9
Factor r**3/2 + 6*r**2 - 30*r + 32.
(r - 2)**2*(r + 16)/2
Find q, given that q**5 + 23*q**4 + 176*q**3 + 448*q**2 = 0.
-8, -7, 0
Solve -2*x**4/3 - 4*x**3 + 14*x**2/3 + 24*x - 24 = 0.
-6, -3, 1, 2
Find t, given that -17*t**3/2 - 83*t**2/2 - 29*t + 4 = 0.
-4, -1, 2/17
Factor -2*g**3 + 10*g**2 - 16*g + 8.
-2*(g - 2)**2*(g - 1)
What is t in -4*t**5 - 64*t**4 - 384*t**3 - 1064*t**2 - 1340*t - 600 = 0?
-5, -3, -2, -1
What is l in -l**2 - 25*l - 24 = 0?
-24, -1
Factor z**2/4 - 21*z/2 + 441/4.
(z - 21)**2/4
Let -3*c**2/4 + 153*c/2 - 7803/4 = 0. What is c?
51
Factor -5*n**3 - 320*n**2 - 4995*n.
-5*n*(n + 27)*(n + 37)
Suppose 2*f**2/21 + 2*f/21 - 40/21 = 0. What is f?
-5, 4
Let 2*a**3/3 + 160*a**2/3 + 1118*a + 2028 = 0. Calculate a.
-39, -2
Factor -4*i**3 + 540*i**2 - 24300*i + 364500.
-4*(i - 45)**3
What is q in -2*q**3/5 + 148*q**2 - 13690*q = 0?
0, 185
Factor -3*b**3 + 33*b**2 + 120*b + 84.
-3*(b - 14)*(b + 1)*(b + 2)
Let 2*c**4 + 16*c**3 + 30*c**2 = 0. What is c?
-5, -3, 0
Let 10*s**5 + 12*s**4 - 6*s**3 - 8*s**2 = 0. What is s?
-1, 0, 4/5
Find y such that -2*y**2/3 - 14*y/3 + 20 = 0.
-10, 3
Find a such that 103684*a**5 - 515844*a**4 + 401872*a**3 + 10224*a**2 + 64*a = 0.
-2/161, 0, 1, 4
Let -55*s**5 - 65*s**4 + 1145*s**3 + 2465*s**2 + 1510*s + 200 = 0. Calculate s.
-4, -1, -2/11, 5
Factor 3*y**2 + 2394*y + 477603.
3*(y + 399)**2
Factor -3*p**3/5 - 396*p**2/5 - 17424*p/5 - 255552/5.
-3*(p + 44)**3/5
Factor -c**2/2 - 7*c/2.
-c*(c + 7)/2
Suppose h**2/8 - 587*h/4 + 344569/8 = 0. Calculate h.
587
Find l, given that l**3/3 - 44*l**2/3 + 172*l - 288 = 0.
2, 18, 24
Let 460*w**4/3 + 838*w**3/3 + 98*w**2 - 86*w/3 - 2/3 = 0. What is w?
-1, -1/46, 1/5
Determine g so that -2*g**4 + 280*g**3 - 10074*g**2 + 19044*g = 0.
0, 2, 69
Factor 3*o**3 - 2496*o**2 + 524124*o - 2056752.
3*(o - 414)**2*(o - 4)
Determine a, given that -2*a**2 - 70*a = 0.
-35, 0
Factor -3*n**3 + 30*n**2 + 156*n + 168.
-3*(n - 14)*(n + 2)**2
Factor -2*o**2 + 6*o - 4.
-2*(o - 2)*(o - 1)
Find o such that 2*o**3 + 180*o**2 + 5400*o + 54000 = 0.
-30
Find m, given that 30*m**4/11 - 94*m**3/11 - 168*m**2/11 + 24*m - 32/11 = 0.
-2, 2/15, 1, 4
Solve -2*r**5 - 2*r**4 + 14*r**3 + 2*r**2 - 12*r = 0.
-3, -1, 0, 1, 2
Factor -2*a**4/15 + 2*a**3/3 - 16*a**2/15 + 8*a/15.
-2*a*(a - 2)**2*(a - 1)/15
Find a such that 2*a**3/11 + 458*a**2/11 + 26894*a/11 + 76614/11 = 0.
-113, -3
Let -x**3 - 52*x**2 - 276*x = 0. What is x?
-46, -6, 0
Suppose 2*k**5/15 - 16*k**4/15 - 406*k**3/15 - 1396*k**2/15 - 1648*k/15 - 128/3 = 0. Calculate k.
-8, -2, -1, 20
Determine h, given that 40*h**2 - 74*h - 12 = 0.
-3/20, 2
Factor 2*j**5 + 4*j**4 - 4*j**3 - 16*j**2 - 14*j - 4.
2*(j - 2)*(j + 1)**4
Solve -2*y**3/7 - 6*y**2/7 + 20*y/7 + 48/7 = 0.
-4, -2, 3
Solve 20*c**3 + 308*c**2 + 120*c = 0.
-15, -2/5, 0
Factor -6*x**2/11 - 78*x/11 + 180/11.
-6*(x - 2)*(x + 15)/11
Factor 3*f**4 + 45*f**3 + 252*f**2 + 624*f + 576.
3*(f + 3)*(f + 4)**3
Factor -t**2/4 - 31*t/4 + 33/2.
-(t - 2)*(t + 33)/4
Determine f so that 2*f**4 - 20*f**3 - 256*f**2 - 576*f = 0.
-4, 0, 18
Let -r**3/4 - 7*r**2/4 - 4*r - 3 = 0. What is r?
-3, -2
Solve -98*j**5/9 + 182*j**4/9 + 1186*j**3/9 - 514*j**2/3 - 304*j - 96 = 0 for j.
-3, -4/7, 3
Determine x, given that -4*x**2 + 3700*x = 0.
0, 925
Factor -n**4/7 - 76*n**3/7 + 3*n**2/7 + 226*n/7 - 152/7.
-(n - 1)**2*(n + 2)*(n + 76)/7
Determine h, given that -h**2/10 + h/5 + 3/2 = 0.
-3, 5
Let -81*k**5 + 735*k**4/2 - 999*k**3/2 + 180*k**2 - 6*k = 0. Calculate k.
0, 1/27, 1/2, 2
Find q, given that 5*q**2 - 1285*q - 1290 = 0.
-1, 258
Suppose 2*u**2/11 + 4096*u/11 - 4098/11 = 0. Calculate u.
-2049, 1
Factor 4*f**2/7 + 72*f/7 - 460/7.
4*(f - 5)*(f + 23)/7
Determine b, given that 2*b**5/3 + 6*b**4 - 102*b**3 + 1286*b**2/3 - 736*b + 456 = 0.
-19, 2, 3
Solve -2*n**3 + 5448*n**2 + 10902*n + 5452 = 0.
-1, 2726
Factor 4*o**3 + 476*o**2 - 1988*o - 2460.
4*(o - 5)*(o + 1)*(o + 123)
Factor -529*i**4 + 6256*i**3 - 15828*i**2 - 2896*i - 128.
-(i - 8)*(i - 4)*(23*i + 2)**2
Let -a**3/5 + 7*a**2/5 + 4*a/5 - 28/5 = 0. Calculate a.
-2, 2, 7
Factor 2*v**3 + 214*v**2 + 200*v - 1272.
2*(v - 2)*(v + 3)*(v + 106)
Determine n so that 3*n**3 - 180*n**2 + 1791*n + 1974 = 0.
-1, 14, 47
Factor 4*d**3 - 2492*d**2 - 10016*d - 10032.
4*(d - 627)*(d + 2)**2
Find w, given that -2*w**4/3 + 160*w**3 + 482*w**2/3 = 0.
-1, 0, 241
Solve -3*q**2/2 - 8*q + 6 = 0.
-6, 2/3
Determine z, given that -z**2/6 + 3*z/2 + 11/3 = 0.
-2, 11
Factor 2*g**4/7 - 24*g**3/7 + 34*g**2/7 + 180*g/7.
2*g*(g - 9)*(g - 5)*(g + 2)/7
Factor l**5/3 + 4*l**4/3 - 29*l**3/3 + 8*l**2.
l**2*(l - 3)*(l - 1)*(l + 8)/3
Factor d**4/2 + 193*d**3/2 + 2037*d**2/2 + 6395*d/2 + 2275.
(d + 1)*(d + 5)**2*(d + 182)/2
Factor -2*t**4 - 14*t**3 + 54*t**2 - 58*t + 20.
-2*(t - 1)**3*(t + 10)
Find u such that -u**3/3 + 117*u**2 - 464*u + 1388/3 = 0.
2, 347
Find y such that -4*y**2 + 468*y + 472 = 0.
-1, 118
Factor b**3/6 - 33*b**2 - 67*b/2 + 199/3.
(b - 199)*(b - 1)*(b + 2)/6
Find w, given that -2*w**4 + 34*w**3 - 142*w**2 + 110*w = 0.
0, 1, 5, 11
Find t such that 324*t**5 + 900*t**4 + 508*t**3 - 644*t**2 - 832*t - 256 = 0.
-1, -8/9, 1
Determine i so that -i**5 + 4*i**4 + 24*i**3 - 10*i**2 - 71*i - 42 = 0.
-3, -1, 2, 7
Factor -4*c**3 - 116*c**2 - 1105*c - 3468.
-(c + 12)*(2*c + 17)**2
Factor 2*t**2 + 4*t - 646.
2*(t - 17)*(t + 19)
Suppose 4*h**5/3 - 37*h**4/3 - 35*h**3/3 + 47*h**2/3 + 31*h/3 - 10/3 = 0. Calculate h.
-1, 1/4, 1, 10
Suppose -2*b**3 - 40*b**2 - 38*b = 0. What is b?
-19, -1, 0
Find s, given that -22*s**5/15 - 28*s**4/5 + 434*s**3/15 - 128*s**2/5 + 56*s/15 = 0.
-7, 0, 2/11, 1, 2
Factor -5*c**4 - 45*c**3 - 145*c**2 - 195*c - 90.
-5*(c + 1)*(c + 2)*(c + 3)**2
Find u, given that -2*u**3/5 + 296*u**2/5 + 8*u/5 - 1184/5 = 0.
-2, 2, 148
Factor g**3/2 - 13*g**2 - 58*g - 60.
(g - 30)*(g + 2)**2/2
Factor 2*d**5 - 20*d**4 - 46*d**3 - 24*d**2.
2*d**2*(d - 12)*(d + 1)**2
Find c such that 135*c**4/7 - 2556*c**3/7 - 2829*c**2/7 - 1014*c/7 - 120/7 = 0.
-2/5, -1/3, 20
What is y in -5*y**2 + 1690*y + 3400 = 0?
-2, 340
Find t such that 5*t**5 - 5*t**3 = 0.
-1, 0, 1
Factor 4*z**2 + 4*z - 8.
4*(z - 1)*(z + 2)
Factor 2*f**4 + 66