- 2)/9
Determine x, given that 6*x**3 + 34*x**2 + 64*x + 40 = 0.
-2, -5/3
Solve -2*j**5/3 - 20*j**4/3 - 8*j**3/3 + 208*j**2/3 + 64*j/3 - 512/3 = 0.
-8, -4, -2, 2
Determine n, given that 2*n**3 + 16*n**2 - 96*n = 0.
-12, 0, 4
Let -z**5/2 + 5*z**4 - 9*z**3 - 32*z**2 + 115*z/2 + 75 = 0. What is z?
-2, -1, 3, 5
Factor -v**2 + 363*v.
-v*(v - 363)
Factor -5*r**3 - 18160*r**2 - 16489280*r.
-5*r*(r + 1816)**2
Suppose -6*i**5/7 - 6*i**4/7 + 30*i**3/7 + 6*i**2/7 - 48*i/7 + 24/7 = 0. Calculate i.
-2, 1
Find k, given that -2*k**3/3 + 44*k**2/3 + 50*k/3 - 1100/3 = 0.
-5, 5, 22
Let -3*m**2 + 1368*m - 1365 = 0. What is m?
1, 455
Factor -5*w**4/2 + 10*w**3 + 55*w**2/2 - 75*w.
-5*w*(w - 5)*(w - 2)*(w + 3)/2
Determine t so that 1481*t**2/2 - 2*t = 0.
0, 4/1481
Determine f, given that 4*f**4 + 40*f**3 + 116*f**2 + 80*f = 0.
-5, -4, -1, 0
Solve 4*i**5 + 40*i**4 + 68*i**3 - 112*i**2 = 0.
-7, -4, 0, 1
Suppose 2*l**3/5 - 38*l**2/5 + 212*l/5 - 288/5 = 0. Calculate l.
2, 8, 9
Let -12*n**3 - 219*n**2 - 54*n = 0. What is n?
-18, -1/4, 0
Determine a so that -3*a**4/10 + a**3 + a**2/2 - 2*a - 6/5 = 0.
-1, -2/3, 2, 3
Find u, given that u**3 + 34*u**2/3 - 29*u/3 - 20 = 0.
-12, -1, 5/3
Determine l so that 35*l**3 + 475*l**2 + 1505*l - 735 = 0.
-7, 3/7
Factor 5*z**4 - 380*z**3 - 1420*z**2 + 328320*z + 3732480.
5*(z - 54)**2*(z + 16)**2
Suppose -2*t**4/11 - 192*t**3/11 + 2306*t**2/11 - 5208*t/11 - 7704/11 = 0. What is t?
-107, -1, 6
Factor -q**3 - 11*q**2 + 93*q - 153.
-(q - 3)**2*(q + 17)
Factor 2*t**2 - 158*t + 156.
2*(t - 78)*(t - 1)
Find t, given that -7*t**5 - 11*t**4 + 30*t**3 = 0.
-3, 0, 10/7
Find a such that 2*a**3/7 + 984*a**2/7 + 161376*a/7 + 8821888/7 = 0.
-164
Solve 50*v**5/19 + 20*v**4 + 892*v**3/19 + 496*v**2/19 - 318*v/19 + 36/19 = 0.
-3, -2, 1/5
Let 32*h**4/3 - 290*h**3/3 - 302*h**2/3 + 20*h/3 = 0. What is h?
-1, 0, 1/16, 10
Let -10*i**5 - 26*i**4 + 32*i**3 + 112*i**2 + 32*i - 32 = 0. What is i?
-2, -1, 2/5, 2
What is m in -21*m**4 + 2*m**3 + 21*m**2 - 2*m = 0?
-1, 0, 2/21, 1
Factor h**2/8 - 73*h/4 + 5329/8.
(h - 73)**2/8
Let 2*i**4/21 - 92*i**3/21 - 130*i**2/7 - 496*i/21 - 200/21 = 0. What is i?
-2, -1, 50
Solve -4*w**5 + 216*w**4 - 2912*w**3 - 216*w**2 + 2916*w = 0.
-1, 0, 1, 27
Factor -b**3 + 27*b**2 + 57*b + 29.
-(b - 29)*(b + 1)**2
Suppose -16*i**5 - 484*i**4 - 4152*i**3 - 7280*i**2 - 1568*i = 0. What is i?
-14, -2, -1/4, 0
Factor f**3/4 - 35*f**2 + 1408*f - 12288.
(f - 64)**2*(f - 12)/4
Find d such that 4*d**5 - 8*d**4 - 12*d**3 + 16*d**2 + 16*d = 0.
-1, 0, 2
Find s such that 3*s**2 + 282*s - 1485 = 0.
-99, 5
Let 100*s**4 - 1640*s**3/7 + 1312*s**2/7 - 408*s/7 + 36/7 = 0. Calculate s.
1/7, 3/5, 1
Factor 2*c**4/15 + 58*c**3/15 + 16*c**2.
2*c**2*(c + 5)*(c + 24)/15
Factor -12*m**3 + 44*m**2 + 24*m - 32.
-4*(m - 4)*(m + 1)*(3*m - 2)
Let 12*a**4/5 + 111*a**3/5 + 243*a**2/5 + 54*a/5 = 0. Calculate a.
-6, -3, -1/4, 0
Factor -z**4 - 3*z**3.
-z**3*(z + 3)
Find x, given that -5*x**5 - 35*x**4 - 50*x**3 = 0.
-5, -2, 0
Let 4*l**2 + 392*l + 9604 = 0. Calculate l.
-49
Let -2*z**5/9 + 14*z**4/9 - 2*z**3/3 - 46*z**2/9 + 64*z/9 - 8/3 = 0. What is z?
-2, 1, 6
Factor o**5 - 2*o**4 - 2*o**3 + 8*o**2 - 7*o + 2.
(o - 1)**4*(o + 2)
Factor -4*f**4/7 - 20*f**3/7 + 24*f**2/7.
-4*f**2*(f - 1)*(f + 6)/7
Factor -h**3 - 30*h**2 + 63*h - 32.
-(h - 1)**2*(h + 32)
Find x, given that -x**4/2 + 5*x**3 - 17*x**2/2 - 14*x = 0.
-1, 0, 4, 7
Find b, given that b**2/10 - 3*b/5 = 0.
0, 6
Suppose -2*k**2 - 416*k = 0. What is k?
-208, 0
Determine m, given that 4*m**3 - 236*m**2 + 456*m = 0.
0, 2, 57
Find t such that 3*t**4 + 12*t**3 - 126*t**2 - 660*t - 525 = 0.
-5, -1, 7
Find l, given that -2*l**5/5 + 32*l**4 - 888*l**3/5 = 0.
0, 6, 74
Let 2*j**2 - 240*j = 0. Calculate j.
0, 120
Factor -y**4/3 - 7*y**3/3 + 25*y**2 + 775*y/3 + 1750/3.
-(y - 10)*(y + 5)**2*(y + 7)/3
Let -15*g**3 - 110*g**2 - 115*g + 240 = 0. What is g?
-16/3, -3, 1
Solve -4*t**5/3 + 46*t**4/3 + 266*t**3/3 + 352*t**2/3 + 8*t/3 - 128/3 = 0.
-2, -1, 1/2, 16
Factor b**3 - 1692*b**2 + 954288*b - 179406144.
(b - 564)**3
Find k, given that -20*k**4/9 - 14*k**3/9 + 164*k**2/9 + 290*k/9 + 44/3 = 0.
-2, -1, 33/10
Factor 105*w**3 + 2322*w**2 + 252*w - 264.
3*(w + 22)*(5*w + 2)*(7*w - 2)
Suppose t**3/5 - 5*t**2 + 104*t/5 - 16 = 0. Calculate t.
1, 4, 20
Determine b, given that -4*b**2 + 880*b = 0.
0, 220
Solve -2*c**2 + 206*c - 792 = 0.
4, 99
Solve -2*j**3/9 + 34*j**2/9 - 118*j/9 - 154/9 = 0 for j.
-1, 7, 11
Let -4*u**2 - 8*u + 32 = 0. Calculate u.
-4, 2
What is o in 2*o**2/7 - 62*o/7 - 624/7 = 0?
-8, 39
Factor h**2/7 + 30*h + 1575.
(h + 105)**2/7
Suppose 5*r**5 - 85*r**4/2 - 165*r**3/2 + 70*r**2 + 50*r = 0. Calculate r.
-2, -1/2, 0, 1, 10
Factor 5*f**2 - 15*f - 270.
5*(f - 9)*(f + 6)
Find v such that v**3 - 51*v**2 + 720*v - 1728 = 0.
3, 24
Find m such that -m**2 + 494*m - 61009 = 0.
247
Let -5*o**2 + 43960*o - 96624080 = 0. What is o?
4396
Factor -2*j**2/9 - 796*j/9 - 794/9.
-2*(j + 1)*(j + 397)/9
Factor 3*x**4 - 30*x**3 + 39*x**2 + 180*x + 108.
3*(x - 6)**2*(x + 1)**2
Let -9*c**5 - 849*c**4 - 19290*c**3 + 35136*c**2 + 13824*c = 0. Calculate c.
-48, -1/3, 0, 2
Determine j so that -2*j**5 + 40*j**4 = 0.
0, 20
Solve -3*d**3 - 45*d**2 - 132*d = 0.
-11, -4, 0
Factor -39*j**2/5 - 228*j/5 + 36/5.
-3*(j + 6)*(13*j - 2)/5
Factor 3*u**2/7 - 582*u/7 + 1152/7.
3*(u - 192)*(u - 2)/7
Factor -2*d**2/3 - 13172*d/3 - 21687698/3.
-2*(d + 3293)**2/3
Determine w, given that 2*w**4/3 - 2*w**3 - 218*w**2/3 - 182*w = 0.
-7, -3, 0, 13
Factor -3*z**3 + 39*z**2 - 102*z - 144.
-3*(z - 8)*(z - 6)*(z + 1)
Solve -b**4 - 11*b**3/9 + 7*b**2/9 + 11*b/9 + 2/9 = 0.
-1, -2/9, 1
Determine h so that h**2/2 - 42*h + 82 = 0.
2, 82
Determine o so that -3*o**3 + 18*o**2 + 3*o - 18 = 0.
-1, 1, 6
Determine u so that 5*u**4 + 95*u**3 + 85*u**2 - 95*u - 90 = 0.
-18, -1, 1
Solve 3*z**5 + 51*z**4/5 - 42*z**3/5 - 24*z**2/5 = 0 for z.
-4, -2/5, 0, 1
What is v in 60*v**5 + 1220*v**4 + 1205*v**3/3 + 100*v**2/3 = 0?
-20, -1/6, 0
Let 3*v**5 - 1875*v**4 + 295758*v**3 - 868614*v**2 - 295761*v + 870489 = 0. What is v?
-1, 1, 3, 311
Factor 2*c**3/13 - 426*c**2/13 + 420*c/13 + 848/13.
2*(c - 212)*(c - 2)*(c + 1)/13
Find d, given that 11*d**3/4 - 13*d**2/4 + d/2 = 0.
0, 2/11, 1
Determine t, given that -3*t**5 + 222*t**4 - 972*t**3 - 4278*t**2 - 4737*t - 1656 = 0.
-1, 8, 69
Let 4*c**2 + 8*c - 32 = 0. Calculate c.
-4, 2
Factor -24*j**3 - 483*j**2 - 516*j - 57.
-3*(j + 1)*(j + 19)*(8*j + 1)
Factor -t**4/8 + 43*t**3/2 - 1849*t**2/2.
-t**2*(t - 86)**2/8
Solve 12*o**2 + 10989*o - 2748 = 0 for o.
-916, 1/4
Factor 3*t**4/5 - 6*t**3/5 - 3*t**2/5 + 6*t/5.
3*t*(t - 2)*(t - 1)*(t + 1)/5
Suppose 2*m**5 + 14*m**4 + 24*m**3 - 8*m**2 - 32*m = 0. Calculate m.
-4, -2, 0, 1
Factor -138338*h**2 + 8416*h - 128.
-2*(263*h - 8)**2
Let 2*m**4/9 - 274*m**3/9 + 1026*m**2 + 1242*m - 6348 = 0. What is m?
-3, 2, 69
Determine g so that g**4/7 + 612*g**3/7 + 124230*g**2/7 + 1176700*g - 25845375/7 = 0.
-205, 3
Factor h**3/5 + h**2 + 6*h/5.
h*(h + 2)*(h + 3)/5
Factor -4*b**2/7 + 456*b/7 - 12996/7.
-4*(b - 57)**2/7
Determine c, given that 10*c**4 - 1275*c**3 + 5600*c**2 - 8025*c + 3690 = 0.
1, 3/2, 2, 123
Solve y**2 + 1814*y = 0 for y.
-1814, 0
What is r in 3*r**4/2 + 6300*r**3 + 9922500*r**2 + 6945750000*r + 1823259375000 = 0?
-1050
Factor x**3 + 65*x**2 + 923*x - 989.
(x - 1)*(x + 23)*(x + 43)
Let 102*h**4 - 507*h**3 + 597*h**2 + 18*h = 0. What is h?
-1/34, 0, 2, 3
Find i such that -i**4/4 - 8*i**3 + 18*i**2 + 32*i - 68 = 0.
-34, -2, 2
Factor 2*c**3/5 + 22*c**2/5 + 14*c/5 - 294/5.
2*(c - 3)*(c + 7)**2/5
Factor -2*n**2 - 34*n + 36.
-2*(n - 1)*(n + 18)
Let -2*y**4/5 - 76*y**3/5 - 642*y**2/5 + 304*y - 160 = 0. What is y?
-20, 1
Factor 5*i**5/6 - 3*i**4 + 2*i**3 + 4*i**2/3.
i**2*(i - 2)**2*(5*i + 2)/6
Let 4*a**2/3 - 16676*a/3 + 16672/3 = 0. Calculate a.
1, 4168
Determine x so that 3*x**3 - 261*x**2 - 1083*x - 819 = 0.
-3, -1, 91
Factor 5*u**5 + 545*u**4 + 15650*u**3 + 43730*u**2 + 42665*u + 14045.
5*(u + 1)**3*(u + 53)**2
Factor -4*b**3 + 116*b**2 - 220*b + 108.
-4*(b - 27)*(b - 1)**2
Let -2*w**3/13 + 68*w**2/13 - 600*w/13 + 1584/13 = 0. What is w?
6, 22
Factor 3*l**3/7 + 243*l**2/7 - 144*l + 1020/7.
3*(l - 2)**2*(l + 85)/7
Factor o**3/2 - 21*o**2 - 279*o/2 - 216.
(o - 48)*(o + 3)**2/2
Determine c so that 3*c**2/2 + 34*c - 48 = 0.
