ven that -6*x**5 + 2*x**4 + 6*x**3 - 2*x**2 = 0.
-1, 0, 1/3, 1
Let 3*i**2 - 831*i - 834 = 0. Calculate i.
-1, 278
Suppose -5*q**3 - 20*q**2 + 5*q + 20 = 0. What is q?
-4, -1, 1
Suppose 2*q**4/5 - 398*q**3/5 + 26532*q**2/5 - 601128*q/5 + 574992/5 = 0. What is q?
1, 66
Factor x**2 - 385*x + 384.
(x - 384)*(x - 1)
Factor 24*s**3 - 49*s**2 - 70*s + 3.
(s - 3)*(s + 1)*(24*s - 1)
Factor -5*p**3 + 330*p**2 - 5100*p - 11560.
-5*(p - 34)**2*(p + 2)
Find u, given that -u**4/2 - u**3/2 + 3*u**2/2 + u/2 - 1 = 0.
-2, -1, 1
Determine h, given that h**2/4 + 7*h/4 + 3/2 = 0.
-6, -1
Find x such that -5*x**3/3 - 10*x**2/3 + 5*x/3 + 10/3 = 0.
-2, -1, 1
What is t in -t**5/4 - 11*t**4 + 95*t**3/2 - 25*t**2 - 189*t/4 + 36 = 0?
-48, -1, 1, 3
Factor v**2/5 + 161*v/5 + 32.
(v + 1)*(v + 160)/5
Let f**4 - 6*f**3 - 16*f**2 = 0. What is f?
-2, 0, 8
Suppose -b**3/9 + 59*b**2/9 - 164*b/9 - 224/9 = 0. Calculate b.
-1, 4, 56
Factor -3*c**3/4 + 585*c**2/4 + 2484*c + 10128.
-3*(c - 211)*(c + 8)**2/4
Let 3*m**3 + 288*m**2 - 2523*m - 2808 = 0. Calculate m.
-104, -1, 9
Factor 8*n**2 + 1076*n - 540.
4*(n + 135)*(2*n - 1)
Suppose 2*x**4/9 + 14*x**3/9 + 22*x**2/9 - 14*x/9 - 8/3 = 0. Calculate x.
-4, -3, -1, 1
Factor -18*u**5 - 894*u**4 - 590*u**3 - 98*u**2.
-2*u**2*(u + 49)*(3*u + 1)**2
Let -3*i**2/7 + 450*i/7 = 0. Calculate i.
0, 150
Factor 3*u**3/7 - 1944*u**2/7 + 419904*u/7 - 30233088/7.
3*(u - 216)**3/7
Solve -5*t**4 - 540*t**3 + 1685*t**2 + 2220*t = 0.
-111, -1, 0, 4
Factor 5*y**3 - 45*y**2 + 135*y - 135.
5*(y - 3)**3
Let -5*f**4 + 835*f**3 - 18465*f**2 + 100685*f + 119990 = 0. What is f?
-1, 13, 142
Let 5*y**3 - 505*y**2 = 0. What is y?
0, 101
What is p in -p**2/2 - 504*p - 127008 = 0?
-504
Let -i**3 + 20*i**2 + 348*i + 1152 = 0. Calculate i.
-6, 32
Determine p, given that -5*p**2 - 440*p - 435 = 0.
-87, -1
Factor 25*m**3/4 - 165*m**2/4 + 20*m + 15.
5*(m - 6)*(m - 1)*(5*m + 2)/4
Factor q**2/3 - 26*q/3 + 16.
(q - 24)*(q - 2)/3
Suppose k**2 + 62*k + 120 = 0. Calculate k.
-60, -2
Factor 3*u**5/7 - 228*u**4/7 - 702*u**3/7 - 708*u**2/7 - 237*u/7.
3*u*(u - 79)*(u + 1)**3/7
Find x such that 3*x**3/8 + 9*x**2/8 - 1287*x/8 - 11661/8 = 0.
-13, 23
Find n such that -n**4/7 - 15*n**3/7 - 12*n**2 - 208*n/7 - 192/7 = 0.
-4, -3
Factor w**3/2 + 28*w**2 + 456*w + 2304.
(w + 12)**2*(w + 32)/2
Factor -n**2/7 - 5392*n/7 - 7268416/7.
-(n + 2696)**2/7
What is w in 3*w**5 - 108*w**4 + 744*w**3 - 2112*w**2 + 2736*w - 1344 = 0?
2, 28
Factor -21*z**3 + 279*z**2 + 1812*z - 540.
-3*(z - 18)*(z + 5)*(7*z - 2)
Solve -m**2/7 - 144*m/7 + 145/7 = 0.
-145, 1
Factor -t**3/3 + 8*t**2/3 - 4*t.
-t*(t - 6)*(t - 2)/3
Find r such that 3*r**5 + 189*r**4 + 1770*r**3 - 37482*r**2 + 138195*r - 102675 = 0.
-37, 1, 5
Let i**3 - 20*i**2 + 93*i - 126 = 0. What is i?
3, 14
Factor 5*o**2 - 820*o + 1620.
5*(o - 162)*(o - 2)
Factor 3*a**4 + 790*a**3 + 55508*a**2 + 453898*a + 145161.
(a + 9)*(a + 127)**2*(3*a + 1)
Factor 5*k**3 + 265*k**2 + 1220*k + 960.
5*(k + 1)*(k + 4)*(k + 48)
Factor -5*r**4 - 55*r**3 - 180*r**2 - 80*r + 320.
-5*(r - 1)*(r + 4)**3
Factor p**2/4 - 105*p/4 - 109.
(p - 109)*(p + 4)/4
Factor -2*o**4 - 130*o**3 - 2294*o**2 - 5766*o.
-2*o*(o + 3)*(o + 31)**2
Factor 98*n**3/15 - 952*n**2/3 + 2696*n/15 - 128/5.
2*(n - 48)*(7*n - 2)**2/15
What is k in -2*k**2 - 996*k - 124002 = 0?
-249
Suppose -3*v**5 + 45*v**4 - 186*v**3 + 216*v**2 = 0. What is v?
0, 2, 4, 9
Suppose -s**2/7 - 1354*s/7 - 2704/7 = 0. What is s?
-1352, -2
Factor -15*q**3 + 96*q**2 + 69*q - 42.
-3*(q - 7)*(q + 1)*(5*q - 2)
Solve 5*k**4 - 85*k**3 + 255*k**2 + 85*k - 260 = 0 for k.
-1, 1, 4, 13
Suppose -4*o**5/3 + 7*o**4 + 70*o**3 + 440*o**2/3 + 118*o + 33 = 0. What is o?
-3, -1, -3/4, 11
Suppose m**3/5 - 88*m**2/5 + 2173*m/5 - 10086/5 = 0. Calculate m.
6, 41
Factor 8*v**4/5 - 14*v**3/3 + 22*v**2/5 - 6*v/5 - 2/15.
2*(v - 1)**3*(12*v + 1)/15
Factor 2*v**4/7 + 96*v**3/7 + 360*v**2/7 + 352*v/7.
2*v*(v + 2)**2*(v + 44)/7
Solve -2*l**3/5 - 48*l**2/5 = 0 for l.
-24, 0
Solve 10*o**5 + 14*o**4 - 26*o**3 - 62*o**2 - 40*o - 8 = 0.
-1, -2/5, 2
Factor 2*q**2 - 488*q + 29768.
2*(q - 122)**2
Factor c**4/7 + 176*c**3/7 + 5344*c**2/7 - 211200*c/7 + 1440000/7.
(c - 12)**2*(c + 100)**2/7
Find u, given that -2*u**2/9 + 1258*u/9 + 140 = 0.
-1, 630
Determine l, given that -3*l**5/4 - 3*l**4/2 + 6*l**3 = 0.
-4, 0, 2
Factor -v**3/3 + v**2/3 + 22*v/3 - 40/3.
-(v - 4)*(v - 2)*(v + 5)/3
Factor -2*f**2/5 - 1948*f/5 - 474338/5.
-2*(f + 487)**2/5
Find r, given that -2*r**5/7 - 12*r**4/7 + 2*r**3 + 96*r**2/7 + 72*r/7 = 0.
-6, -2, -1, 0, 3
Determine y so that -4*y**5 + 116*y**3 - 48*y**2 - 832*y + 768 = 0.
-4, 1, 3, 4
Determine o so that -2*o**4/7 + 50*o**3/7 + 116*o**2/7 - 200*o/7 - 432/7 = 0.
-2, 2, 27
What is g in g**2 + 24*g = 0?
-24, 0
Determine a, given that -2*a**2/5 - 36*a/5 + 38/5 = 0.
-19, 1
Let 6*y**4/7 + 9*y**3/7 + 3*y**2/7 = 0. Calculate y.
-1, -1/2, 0
Solve 64*z**5 - 32*z**4 - 156*z**3 - 68*z**2 - 8*z = 0 for z.
-1, -1/4, 0, 2
Suppose -2*p**4 + 2507*p**3 - 787509*p**2 + 1176880*p - 391876 = 0. Calculate p.
1/2, 1, 626
Factor -2*z**5/5 - 36*z**4 - 696*z**3 + 5072*z**2 - 10752*z + 36864/5.
-2*(z - 2)**3*(z + 48)**2/5
Factor -10*u**2/11 - 24*u/11 + 64/11.
-2*(u + 4)*(5*u - 8)/11
Factor -3*p**2 - 63*p - 60.
-3*(p + 1)*(p + 20)
Suppose 3*a**3 + 228*a**2 + 4551*a + 8214 = 0. What is a?
-37, -2
Solve -l**5/3 + 479*l**4/3 - 19513*l**3 + 93615*l**2 = 0.
0, 5, 237
Let -f**3/2 + 495*f**2/2 + 248*f = 0. Calculate f.
-1, 0, 496
Suppose 3*h**5/8 - 9*h**4 + 297*h**3/4 - 567*h**2/2 + 4131*h/8 - 729/2 = 0. What is h?
3, 12
Factor 16*t**4 - 124*t**3 + 80*t**2 + 28*t.
4*t*(t - 7)*(t - 1)*(4*t + 1)
Factor 5*z**3 - 700*z**2 + 1340*z + 5520.
5*(z - 138)*(z - 4)*(z + 2)
Factor h**3 + 8*h**2 + 15*h.
h*(h + 3)*(h + 5)
Factor i**4/3 - i**3 + 2*i**2/3.
i**2*(i - 2)*(i - 1)/3
Solve -f**5/5 + 7*f**4/5 - 6*f**3/5 - 32*f**2/5 + 32*f/5 = 0.
-2, 0, 1, 4
Factor 199*c**2/4 + 7*c/2.
c*(199*c + 14)/4
What is z in 84*z**5 - 412*z**4 - 1216*z**3 - 112*z**2 = 0?
-2, -2/21, 0, 7
Factor 4*m**2/3 - 8*m - 64/3.
4*(m - 8)*(m + 2)/3
Factor -2*y**3/5 - 6*y**2 - 54*y/5 + 486/5.
-2*(y - 3)*(y + 9)**2/5
Factor -b**4/6 + 10*b**3/3 + 89*b**2/3 + 146*b/3 + 45/2.
-(b - 27)*(b + 1)**2*(b + 5)/6
Factor 2*j**3/7 + 188*j**2/7 + 814*j + 54760/7.
2*(j + 20)*(j + 37)**2/7
Let -5*g**4/9 + 97*g**3/9 + 62*g**2/9 - 40*g/9 = 0. What is g?
-1, 0, 2/5, 20
Factor 2*h**2/7 - 18*h/7 + 40/7.
2*(h - 5)*(h - 4)/7
Determine z, given that z**2/7 + 922*z/7 + 212521/7 = 0.
-461
Factor -l**4 - 5*l**3 - 7*l**2 - 3*l.
-l*(l + 1)**2*(l + 3)
Let 5*v**3/3 + 5*v**2 - 50*v/3 - 40 = 0. Calculate v.
-4, -2, 3
Factor -f**2/3 - 50*f/3 + 72.
-(f - 4)*(f + 54)/3
Factor -p**4 - 15*p**3 - 58*p**2 - 84*p - 40.
-(p + 1)*(p + 2)**2*(p + 10)
Factor -v**3 - 5*v**2 - 4*v.
-v*(v + 1)*(v + 4)
Find s such that -4*s**2 + 88*s = 0.
0, 22
Factor 2*g**2/15 + 94*g/15 + 164/5.
2*(g + 6)*(g + 41)/15
Determine c, given that -4*c**2/7 - 1776*c/7 - 756 = 0.
-441, -3
Find h such that 4*h**3/9 + 236*h**2/3 + 156*h + 700/9 = 0.
-175, -1
Factor p**3/3 + 358*p**2/3 - 728*p/3 - 960.
(p - 4)*(p + 2)*(p + 360)/3
Factor 2*c**3/3 - 34*c**2 - 218*c/3 + 106.
2*(c - 53)*(c - 1)*(c + 3)/3
Factor -12*o**3 - 280*o**2 - 356*o - 88.
-4*(o + 1)*(o + 22)*(3*o + 1)
Determine q, given that 26*q**3 + 1824*q**2 + 32130*q + 4900 = 0.
-35, -2/13
Factor -v**2/3 - v + 18.
-(v - 6)*(v + 9)/3
Factor -5*n**4 - 235*n**3 - 3080*n**2 - 7260*n.
-5*n*(n + 3)*(n + 22)**2
Find y, given that -12*y**5 - 9*y**4 + 15*y**3 + 9*y**2 - 3*y = 0.
-1, 0, 1/4, 1
Determine f so that -2*f**2/7 - 1676*f/7 - 351122/7 = 0.
-419
Factor 5*b**2/4 + 720*b + 103680.
5*(b + 288)**2/4
Factor -13*n**2 + 2628*n - 404.
-(n - 202)*(13*n - 2)
Factor -t**2/4 + 35*t/4.
-t*(t - 35)/4
Factor 4*w**4 - 16*w**3 - 212*w**2 + 96*w + 1728.
4*(w - 9)*(w - 3)*(w + 4)**2
Determine y so that 25*y**5/8 + 45*y**4/2 + 48*y**3 + 32*y**2 = 0.
-4, -8/5, 0
Factor 22*l**3 - 874*l**2 - 240*l.
2*l*(l - 40)*(11*l + 3)
Factor -i**2 - 59*i/2 + 15.
-(i + 30)*(2*i - 1)/2
Factor r**3 - 43*r**2/4 + 29*r/4 + 5/2.
(r - 10)*(r - 1)*(4*r + 1)/4
Factor c**4/5 + c**3/5 - 6*c**2/5.
c**2*(c - 2)*(c + 3)/5
Suppose -4*p**2/3 - 176*p - 2540/3 = 0. What is p?
-127, -5
Factor -6*m**3/7 - 204*m**2/7 - 1866*m/7 - 2964/7.
-6*(m + 2)*(m + 13)*(m + 19)/7
Solve -26*y**4 - 88*y**3 - 46*y**2 + 88