n.
2*n*(n - 1)*(n + 38)
Determine k, given that -4*k**3 - 24*k**2 - 36*k = 0.
-3, 0
Find m, given that 3*m**4/2 - 21*m**3/2 + 15*m**2/2 + 21*m/2 - 9 = 0.
-1, 1, 6
What is r in 349281*r**3/2 - 1182*r**2 + 2*r = 0?
0, 2/591
Suppose v**2/5 + 9*v - 180 = 0. Calculate v.
-60, 15
Let -3*d**5 + 102*d**4 - 369*d**3 + 258*d**2 + 372*d - 360 = 0. Calculate d.
-1, 1, 2, 30
Factor -2*w**3/15 + 16*w**2/15 + 8*w/15 - 64/15.
-2*(w - 8)*(w - 2)*(w + 2)/15
Solve -9*o**3 - 267*o**2 - 1935*o + 675 = 0.
-15, 1/3
Suppose -13*q**4 + 102*q**3 - 244*q**2 + 168*q + 32 = 0. What is q?
-2/13, 2, 4
Let -100*t**4/7 + 140*t**3 - 2816*t**2/7 + 1936*t/7 = 0. What is t?
0, 1, 22/5
Factor -12*d**2/7 + 57*d/7 - 36/7.
-3*(d - 4)*(4*d - 3)/7
Let -f**2/4 - 5*f + 525/4 = 0. Calculate f.
-35, 15
Suppose 338*m**5/3 - 2626*m**4/3 + 5588*m**3/3 - 4900*m**2/3 + 1850*m/3 - 250/3 = 0. Calculate m.
5/13, 1, 5
Suppose -3*p**4 - 15*p**3 + 96*p**2 - 108*p = 0. What is p?
-9, 0, 2
Factor -21*i**2/2 - 3*i.
-3*i*(7*i + 2)/2
Determine f so that -f**3/3 - 104*f**2/3 - 2597*f/3 + 5618/3 = 0.
-53, 2
Solve 27*r**4/7 - 2286*r**3/7 + 50619*r**2/7 - 94488*r/7 + 46128/7 = 0 for r.
1, 124/3
Factor g**4/6 + 5*g**3/6 + g**2/6 - 7*g/2 - 3.
(g - 2)*(g + 1)*(g + 3)**2/6
Factor 3*g**2 + 18*g - 480.
3*(g - 10)*(g + 16)
Factor 3*f**2 + 351*f - 5070.
3*(f - 13)*(f + 130)
Let -5*g**5 - 85*g**4 - 155*g**3 - 75*g**2 = 0. What is g?
-15, -1, 0
Solve -4*k**2/5 - 64*k/5 - 112/5 = 0 for k.
-14, -2
Factor 2*r**2/5 + 6*r + 28/5.
2*(r + 1)*(r + 14)/5
Factor -f**3 + 898*f**2 + 1799*f + 900.
-(f - 900)*(f + 1)**2
Factor -119*l**4/12 - 53*l**3/6 + 13*l**2/12.
-l**2*(l + 1)*(119*l - 13)/12
Factor -t**2 - 10738*t - 28826161.
-(t + 5369)**2
What is y in -5*y**4 + 75*y**3 - 190*y**2 + 120*y = 0?
0, 1, 2, 12
Factor -2*m**3/9 + 8*m**2/9 - 2*m/9 - 4/3.
-2*(m - 3)*(m - 2)*(m + 1)/9
Factor -x**3/2 + 634*x**2 + 2539*x/2 + 635.
-(x - 1270)*(x + 1)**2/2
Find q such that -2*q**3/9 + 46*q**2/9 + 8*q/9 - 184/9 = 0.
-2, 2, 23
Determine b, given that -75843*b**2 - 954*b - 3 = 0.
-1/159
Factor 5*n**3 + 26760*n**2 + 47739840*n + 28389291520.
5*(n + 1784)**3
Determine z, given that 2*z**4/5 + 76*z**3/5 + 642*z**2/5 - 304*z + 160 = 0.
-20, 1
Factor 156*r**2 - 3111*r/5 - 36/5.
3*(r - 4)*(260*r + 3)/5
Factor 4*y**4 + 136*y**3 + 848*y**2 - 5320*y + 4332.
4*(y - 3)*(y - 1)*(y + 19)**2
Suppose -4*i**5 - 36*i**4 - 28*i**3 + 36*i**2 + 32*i = 0. What is i?
-8, -1, 0, 1
Factor -n**2/4 + 29*n/4 - 99/2.
-(n - 18)*(n - 11)/4
Factor -k**3/7 + 32*k**2/7.
-k**2*(k - 32)/7
Factor -l**2 - 24*l - 23.
-(l + 1)*(l + 23)
Solve -p**3/2 - 17*p**2 - 265*p/2 - 300 = 0.
-24, -5
Factor -3*z**3 + 279*z + 924.
-3*(z - 11)*(z + 4)*(z + 7)
Find i such that -4*i**3 + 84*i**2 + 180*i - 8100 = 0.
-9, 15
Let 12*k**3/5 - 519*k**2/5 + 1113*k/5 - 246/5 = 0. What is k?
1/4, 2, 41
Factor -4*c**3 - 196*c**2 + 200*c.
-4*c*(c - 1)*(c + 50)
Find a, given that a**3/12 - 128*a**2/3 - 515*a/3 - 172 = 0.
-2, 516
Determine z, given that 2*z**4 - 14984*z**3 + 42097548*z**2 - 52565804936*z + 24613938161282 = 0.
1873
Factor -18*z**2 - 3*z.
-3*z*(6*z + 1)
Factor l**4/8 + 39*l**3/8 + 387*l**2/8 + 661*l/8 + 39.
(l + 1)**2*(l + 13)*(l + 24)/8
Factor -3*y**2/4 - 57*y/8 - 27/8.
-3*(y + 9)*(2*y + 1)/8
Factor -g**4/2 - 39*g**3/2 - 15*g**2 + 158*g + 228.
-(g - 3)*(g + 2)**2*(g + 38)/2
Solve -t**4/6 - 7*t**3/6 - 3*t**2/2 + 7*t/6 + 5/3 = 0 for t.
-5, -2, -1, 1
Let -j**3/4 - 5*j**2 + 27*j/4 + 63/2 = 0. What is j?
-21, -2, 3
Factor -4*q**4 + 68*q**3 - 328*q**2 + 480*q.
-4*q*(q - 10)*(q - 4)*(q - 3)
Suppose 4*u**4 + 160*u**3 - 168*u**2 - 160*u + 164 = 0. Calculate u.
-41, -1, 1
Suppose 3*f**2/5 - 69*f/5 + 396/5 = 0. Calculate f.
11, 12
Determine b, given that -30*b**5/13 - 44*b**4/13 - 10*b**3/13 + 4*b**2/13 = 0.
-1, -2/3, 0, 1/5
Determine q, given that 5*q**5 + 20*q**4 + 30*q**3 + 20*q**2 + 5*q = 0.
-1, 0
What is k in -4*k**3 + 184*k**2 - 1492*k - 1680 = 0?
-1, 12, 35
Factor -y**2/4 + 21*y/2 - 441/4.
-(y - 21)**2/4
Factor 2*k**3/7 - 134*k**2/7 - 136*k/7.
2*k*(k - 68)*(k + 1)/7
What is m in 4*m**5/7 - 12*m**4/7 + 4*m**3/7 + 12*m**2/7 - 8*m/7 = 0?
-1, 0, 1, 2
Factor 16*d**4 + 756*d**3 + 2300*d**2 + 528*d.
4*d*(d + 3)*(d + 44)*(4*d + 1)
Find t such that t**3/2 + 15*t**2/2 - 2*t - 30 = 0.
-15, -2, 2
Suppose 3*r**3 - 12*r**2 - 12*r + 48 = 0. Calculate r.
-2, 2, 4
Factor -7*g**3/4 - 1643*g**2/4 + 235*g/2.
-g*(g + 235)*(7*g - 2)/4
Determine d, given that -3*d**4/4 + 39*d**3/4 - 123*d**2/4 - 39*d/4 + 63/2 = 0.
-1, 1, 6, 7
Determine m, given that -m**5/10 + 9*m**4/10 - 23*m**3/10 + 7*m**2/10 + 12*m/5 - 8/5 = 0.
-1, 1, 4
Find v such that 2*v**3/9 - 8*v**2/3 + 22*v/9 = 0.
0, 1, 11
Find z such that 4*z**4 + 1236*z**3 = 0.
-309, 0
Factor -3*n**2 - 4125*n - 4122.
-3*(n + 1)*(n + 1374)
Suppose 42*r**4 - 76*r**3 - 66*r**2 + 84*r + 32 = 0. What is r?
-1, -1/3, 8/7, 2
Factor -3*b**5 + 27*b**4 - 24*b**3.
-3*b**3*(b - 8)*(b - 1)
Solve -4*m**5 - 336*m**4 - 8436*m**3 - 66424*m**2 = 0.
-46, -19, 0
Find l such that 82944*l**3/5 - 77184*l**2/5 - 1132*l - 20 = 0.
-5/144, 1
Factor 4*v**3/5 + 24*v**2/5 - 396*v/5 - 1296/5.
4*(v - 9)*(v + 3)*(v + 12)/5
Factor y**3 + 19*y**2 + 16*y - 36.
(y - 1)*(y + 2)*(y + 18)
Suppose 5*p**3 + 135*p**2 + 130*p = 0. What is p?
-26, -1, 0
Determine u, given that -u**4 + 2*u**3 + 13*u**2 + 10*u = 0.
-2, -1, 0, 5
Find u, given that 3*u**3/4 + 351*u**2/4 + 87*u = 0.
-116, -1, 0
Factor 5*r**2 - 145*r - 150.
5*(r - 30)*(r + 1)
Suppose -5*k**4 + 100*k**3 - 90*k**2 - 100*k + 95 = 0. Calculate k.
-1, 1, 19
Factor 2*q**2/5 + 3556*q/5 + 1580642/5.
2*(q + 889)**2/5
Factor m**3/4 - 5*m**2/2 + 19*m/4 + 15/2.
(m - 6)*(m - 5)*(m + 1)/4
Factor j**4/2 - 31*j**3/2 + 89*j**2 - 120*j.
j*(j - 24)*(j - 5)*(j - 2)/2
Factor 15*k**2 + 50*k - 40.
5*(k + 4)*(3*k - 2)
Let 4*o**5 - 40*o**3 - 80*o**2 - 60*o - 16 = 0. What is o?
-1, 4
Factor -3*l**4 + 6*l**3 + 9*l**2 - 12*l - 12.
-3*(l - 2)**2*(l + 1)**2
Factor q**4/2 + 6*q**3 + 35*q**2/2.
q**2*(q + 5)*(q + 7)/2
Find z such that 3*z**3 - 105*z**2 + 522*z = 0.
0, 6, 29
Factor t**3/2 - 19*t**2 + 198*t - 324.
(t - 18)**2*(t - 2)/2
Solve -840*t**5 - 2636*t**4 - 3040*t**3 - 1548*t**2 - 320*t - 16 = 0 for t.
-1, -2/3, -2/5, -1/14
Factor -4*g**2 + 112*g + 240.
-4*(g - 30)*(g + 2)
Suppose -y**4/5 + 10*y**3 - 97*y**2/5 + 48*y/5 = 0. What is y?
0, 1, 48
Solve 2*d**3/3 + 68*d**2/3 + 248*d/3 + 80 = 0.
-30, -2
Factor t**3 - 291*t**2/2 + 5256*t + 5329/2.
(t - 73)**2*(2*t + 1)/2
What is o in 2*o**3/13 - 18*o**2/13 + 46*o/13 - 30/13 = 0?
1, 3, 5
Factor -142*s**2/17 + 140*s/17 + 2/17.
-2*(s - 1)*(71*s + 1)/17
Factor -2*u**3 + 192*u**2 + 792*u + 800.
-2*(u - 100)*(u + 2)**2
Factor 4*v**2 - 92*v.
4*v*(v - 23)
Factor 5*n**3 + 5*n**2 - 85*n + 75.
5*(n - 3)*(n - 1)*(n + 5)
Let 2*b**4/3 + 290*b**3 + 866*b**2/3 - 290*b - 868/3 = 0. Calculate b.
-434, -1, 1
Suppose -4*q**3 + 168*q**2 - 2352*q + 10976 = 0. Calculate q.
14
Factor -2*p**3 - 398*p**2 + 1208*p - 808.
-2*(p - 2)*(p - 1)*(p + 202)
Determine o so that o**2/5 - 8*o/5 + 16/5 = 0.
4
Determine z, given that -6*z**5/5 + 204*z**4/5 + 6978*z**3/5 + 26616*z**2/5 - 196248*z/5 + 227136/5 = 0.
-13, 2, 56
Suppose 2*z**4/7 + 6*z**3/7 - 6*z**2/7 - 2*z + 12/7 = 0. Calculate z.
-3, -2, 1
Solve 24*u**5 + 38*u**4 - 82*u**3 - 152*u**2 - 56*u = 0 for u.
-2, -1, -7/12, 0, 2
Find f, given that 20*f**3/3 - 92*f**2/3 + 128*f/3 - 16 = 0.
3/5, 2
Factor 81*n**2 + 909*n + 10201/4.
(18*n + 101)**2/4
Suppose -x**3/6 + x**2/3 + 682*x/3 - 3388 = 0. What is x?
-42, 22
Suppose -16*t**5/9 - 34*t**4/9 + 4*t**3/3 + 34*t**2/9 + 4*t/9 = 0. What is t?
-2, -1, -1/8, 0, 1
Factor -h**3/4 - 417*h**2/4 + 837*h/4 - 419/4.
-(h - 1)**2*(h + 419)/4
Factor m**3/8 - 49*m**2 - 787*m/8 - 197/4.
(m - 394)*(m + 1)**2/8
Solve -3*z**4 + 297*z**2 - 1458*z + 1944 = 0.
-12, 3, 6
Factor -4*p**3 + 4*p**2 + 20*p + 12.
-4*(p - 3)*(p + 1)**2
Solve 2*c**4/5 + 104*c**3/5 + 1244*c**2/5 - 2808*c/5 + 1458/5 = 0.
-27, 1
Factor -4*k**3 + 16*k**2 - 4*k - 24.
-4*(k - 3)*(k - 2)*(k + 1)
Find z such that -3*z**5/4 + 3*z**4 - 9*z**3/4 - 3*z**2 + 3*z = 0.
-1, 0, 1, 2
Determine r, given that r**2/6 + 25*r/2 = 0.
-75, 0
Find d such that -d**3 + 16*d**2 - 64*d = 0.
0, 8
Suppose k**2/6 + 43*k + 257/6 = 0. What is k?
-257, -1
What is j in -864*j**5 - 3024*j**4 - 936*j**3 + 1012*j**2 - 200*j + 12 = 0?
-3, -1, 1/6
Factor -x**3/3 + 4