 2)*(n - 1)*(49*n - 1)/2
Factor -2*k**5/7 + 4*k**3/7 - 2*k/7.
-2*k*(k - 1)**2*(k + 1)**2/7
What is m in 2*m**4/5 - 16*m**3/5 - 10*m**2 + 88*m/5 + 24 = 0?
-3, -1, 2, 10
Let 5*b**5 + 225*b**4 - 2000*b**3 + 6200*b**2 - 8400*b + 4240 = 0. Calculate b.
-53, 2
Factor 40*m**3 + 388*m**2 + 572*m + 224.
4*(m + 1)*(m + 8)*(10*m + 7)
Let 4*i**4 - 184*i**3 - 388*i**2 + 184*i + 384 = 0. What is i?
-2, -1, 1, 48
Suppose -w**2 + 1750*w - 765625 = 0. What is w?
875
Determine m so that -98*m**5 + 1232*m**4 + 1966*m**3 - 49044*m**2 + 27432*m - 3888 = 0.
-6, 2/7, 9
Factor 2*p**5 - 10*p**4 - 34*p**3 + 42*p**2.
2*p**2*(p - 7)*(p - 1)*(p + 3)
Factor -z**4/2 - z**3 + 39*z**2/2 + 74*z + 70.
-(z - 7)*(z + 2)**2*(z + 5)/2
Factor -y**5 - 578*y**4 - 110584*y**3 - 6852080*y**2 + 28753904*y - 29205536.
-(y - 2)**2*(y + 194)**3
Solve 2*s**5/5 + 34*s**4/5 + 88*s**3/5 + 56*s**2/5 = 0 for s.
-14, -2, -1, 0
Suppose -3*o**3/2 - 15*o**2 + 78*o - 84 = 0. What is o?
-14, 2
Factor 65*a**2 + 52660*a + 8100.
5*(a + 810)*(13*a + 2)
Solve -3*s**3/5 - 3*s**2 + 51*s/5 + 63/5 = 0 for s.
-7, -1, 3
Suppose -x**3 - 173*x**2 + 349*x - 175 = 0. What is x?
-175, 1
Factor u**2 + 1760*u + 3516.
(u + 2)*(u + 1758)
Let g**4 + 2*g**3 + g**2 = 0. Calculate g.
-1, 0
Factor 3*o**4/2 - 15*o**3/2 - 9*o**2.
3*o**2*(o - 6)*(o + 1)/2
Determine b so that -2*b**2 + 386*b = 0.
0, 193
Find i such that i**2/4 + 3*i/4 + 1/2 = 0.
-2, -1
Find w, given that -2*w**3/7 + 3538*w**2/7 - 1566448*w/7 + 1562912/7 = 0.
1, 884
Let 4*j**2 + 800*j + 40000 = 0. Calculate j.
-100
Solve -3*c**2 + 456*c + 924 = 0 for c.
-2, 154
Suppose -12*p**5/7 + 8*p**4/7 + 108*p**3/7 - 24*p**2/7 - 176*p/7 + 96/7 = 0. What is p?
-2, 2/3, 1, 3
Let n**4 + 41*n**3 + 39*n**2 - 41*n - 40 = 0. What is n?
-40, -1, 1
Factor l**3/6 + 37*l**2/6 + 42*l.
l*(l + 9)*(l + 28)/6
Find c, given that c**2/5 - 2*c/5 = 0.
0, 2
Factor 5*t**3 - 505*t**2 - 2080*t - 2100.
5*(t - 105)*(t + 2)**2
Determine t so that 24*t**3/7 - 570*t**2/7 + 2712*t/7 + 102 = 0.
-1/4, 7, 17
Let -5*c**4 - 155*c**3 - 1110*c**2 + 1600*c + 2560 = 0. Calculate c.
-16, -1, 2
Factor -5*c**3/2 - 195*c**2 + 1205*c/2 - 405.
-5*(c - 2)*(c - 1)*(c + 81)/2
Find i, given that 4*i**4/3 + 152*i**3/3 + 140*i**2 = 0.
-35, -3, 0
Factor -4*t**2 + 14064*t - 12362256.
-4*(t - 1758)**2
Let 2*q**4/11 - 8*q**2/11 = 0. What is q?
-2, 0, 2
Determine c so that 2*c**5 + 38*c**4 + 180*c**3 + 88*c**2 - 752*c - 960 = 0.
-12, -5, -2, 2
Solve 4*y**3/5 + 80*y**2 = 0.
-100, 0
Suppose 3*l**3/4 + 3*l**2/4 - 15*l/2 + 6 = 0. Calculate l.
-4, 1, 2
Solve 4*h**5 - 8*h**4 - 12*h**3 + 32*h**2 - 16*h = 0 for h.
-2, 0, 1, 2
Factor -2*z**4/5 + 2*z**3/5.
-2*z**3*(z - 1)/5
Let 2*k**3/9 - 454*k**2/3 + 302*k - 1358/9 = 0. What is k?
1, 679
Factor v**4/10 + v**3/10 - 3*v**2/2 + 23*v/10 - 1.
(v - 2)*(v - 1)**2*(v + 5)/10
Factor b**2/10 + 9*b/10 - 18/5.
(b - 3)*(b + 12)/10
What is b in -2*b**5 - 16*b**4 - 30*b**3 = 0?
-5, -3, 0
Suppose -j**4 + 17*j**3 - 41*j**2 - 17*j + 42 = 0. Calculate j.
-1, 1, 3, 14
Factor 3*k**2/8 + 9*k.
3*k*(k + 24)/8
Factor 3*u**5 + 6*u**4 - 24*u**3 - 54*u**2 - 27*u.
3*u*(u - 3)*(u + 1)**2*(u + 3)
Factor -5*s**3 + 1315*s**2 - 87115*s + 85805.
-5*(s - 131)**2*(s - 1)
Find c, given that 3*c**4/4 - 14*c**3 + 33*c**2/4 + 14*c - 9 = 0.
-1, 2/3, 1, 18
Factor 5*y**4/2 - 2875*y**3/2 + 8595*y**2/2 - 8585*y/2 + 1430.
5*(y - 572)*(y - 1)**3/2
Factor -o**2/3 - 394*o/3 + 397.
-(o - 3)*(o + 397)/3
Factor 2*c**4 - 6*c**3 - 108*c**2 + 224*c.
2*c*(c - 8)*(c - 2)*(c + 7)
Factor 178*y**2/9 - 40*y + 8/9.
2*(y - 2)*(89*y - 2)/9
Find x such that -364*x**3 - 96732*x**2 - 72128*x - 12720 = 0.
-265, -6/13, -2/7
Suppose p**4/4 + p**3 - p**2/4 - p = 0. What is p?
-4, -1, 0, 1
Factor -3*g**3/8 + g**2/8.
-g**2*(3*g - 1)/8
Find w such that -20*w**5 - 172*w**4 + 492*w**3 - 388*w**2 + 88*w = 0.
-11, 0, 2/5, 1
Find l such that l**3/2 - 2*l**2 - 9*l/2 + 18 = 0.
-3, 3, 4
Factor 14*i**3 - 886*i**2 + 252*i.
2*i*(i - 63)*(7*i - 2)
Solve 2*n**2/13 + 272*n/13 + 9248/13 = 0.
-68
Find a such that -6*a**5/5 + 56*a**4/5 - 142*a**3/5 + 28*a**2 - 48*a/5 = 0.
0, 1, 4/3, 6
Factor m**4/2 - 7*m**3 + 343*m - 2401/2.
(m - 7)**3*(m + 7)/2
Let 961*h**4/6 + 62*h**3/3 - 319*h**2/2 - 62*h/3 - 2/3 = 0. What is h?
-1, -2/31, 1
Factor -d**4/2 + d**3 + 2*d**2 - d - 3/2.
-(d - 3)*(d - 1)*(d + 1)**2/2
Solve a**5 + a**4 - 17*a**3 - 21*a**2 + 36*a = 0 for a.
-3, 0, 1, 4
What is a in -a**2/6 - 13*a/6 + 169/3 = 0?
-26, 13
Find i, given that -6*i**3/7 + 15*i**2 + 24*i + 57/7 = 0.
-1, -1/2, 19
Find j such that 3626*j**5/5 + 1855*j**4 - 6564*j**3/5 - 5537*j**2/5 - 812*j/5 + 12/5 = 0.
-3, -2/7, 1/74, 1
Find w, given that -4*w**3/3 - 1696*w**2 - 719104*w - 304900096/3 = 0.
-424
Factor -5*w**2 + 5*w + 100.
-5*(w - 5)*(w + 4)
Determine o, given that -3*o**4 - 24*o**3 + 57*o**2 - 30*o = 0.
-10, 0, 1
Suppose -5*z**3 + 40*z**2 + 380*z + 560 = 0. What is z?
-4, -2, 14
Find r, given that 4*r**5 - 96*r**3 + 104*r**2 + 348*r - 360 = 0.
-5, -2, 1, 3
Let w**2/3 + 170*w/3 - 352 = 0. What is w?
-176, 6
Factor -17787*u**3/2 + 854238*u**2 - 44358*u + 576.
-3*(u - 96)*(77*u - 2)**2/2
Suppose q**5/7 + 5*q**4/7 - 18*q**3/7 - 26*q**2/7 + 17*q/7 + 3 = 0. What is q?
-7, -1, 1, 3
Factor -5*l**3 + 5*l**2 + 150*l - 360.
-5*(l - 4)*(l - 3)*(l + 6)
Factor -2*n**2 + 254*n.
-2*n*(n - 127)
Let -9*a**3 + 249*a**2 - 396*a + 156 = 0. Calculate a.
2/3, 1, 26
Factor k**2 - 4*k + 4.
(k - 2)**2
Find q, given that 14*q**3/5 + 7556*q**2/5 + 203688*q - 58320 = 0.
-270, 2/7
Factor w**4/7 - 2*w**3/7 + 2*w/7 - 1/7.
(w - 1)**3*(w + 1)/7
Suppose -28*m**5/5 - 426*m**4/5 - 1598*m**3/5 - 1384*m**2/5 - 24*m/5 + 32 = 0. Calculate m.
-10, -4, -1, -1/2, 2/7
Let 2*h**3/9 - 44*h**2/9 + 242*h/9 = 0. What is h?
0, 11
Factor -2*m**4 + 10*m**3 + 12*m**2 - 64*m - 64.
-2*(m - 4)**2*(m + 1)*(m + 2)
Suppose -5*g**5 - 25*g**4 - 10*g**3 + 40*g**2 = 0. Calculate g.
-4, -2, 0, 1
Factor -3*g**3/4 + 36*g**2 - 351*g - 2028.
-3*(g - 26)**2*(g + 4)/4
Factor -12*d**3 + 58*d**2 + 82*d + 12.
-2*(d - 6)*(d + 1)*(6*d + 1)
Factor x**2 - 655*x - 656.
(x - 656)*(x + 1)
Solve -16*z**5/5 - 12*z**4/5 + 52*z**3 - 384*z**2/5 + 16*z = 0.
-5, 0, 1/4, 2
Determine u, given that 3*u**3 - 123*u**2 + 897*u + 7935 = 0.
-5, 23
Factor -5*o**3/3 - 25*o**2/3 + 370*o/3 + 400.
-5*(o - 8)*(o + 3)*(o + 10)/3
Factor 3*t**2 - 315*t + 2328.
3*(t - 97)*(t - 8)
Determine g, given that -g**5/2 + 23*g**4/2 - 143*g**3/2 + 121*g**2/2 = 0.
0, 1, 11
Suppose -70*s**5/11 + 38*s**4 - 746*s**3/11 + 326*s**2/11 + 144*s/11 - 72/11 = 0. Calculate s.
-3/7, 2/5, 1, 2, 3
Factor n**2/2 + 844*n + 356168.
(n + 844)**2/2
Factor f**2/2 + f/2 - 6.
(f - 3)*(f + 4)/2
Solve -i**4 + 8*i**3 - 17*i**2 + 10*i = 0 for i.
0, 1, 2, 5
Suppose d**3 - 105*d**2 + 1152*d - 3348 = 0. What is d?
6, 93
Factor -5*v**3 - 305*v**2.
-5*v**2*(v + 61)
Factor -2*n**2/9 - 94*n/3 - 280/9.
-2*(n + 1)*(n + 140)/9
Factor l**4 + 19*l**3 + 87*l**2 + 117*l.
l*(l + 3)**2*(l + 13)
Determine l, given that -4*l**5 + 24*l**4 + 96*l**3 - 320*l**2 - 1344*l - 1152 = 0.
-2, 6
Factor -d**5/5 - 16*d**4/5 + 7*d**3 - 18*d**2/5.
-d**2*(d - 1)**2*(d + 18)/5
Let 5*j**5/8 - j**4 - 59*j**3/8 + 19*j**2/4 + 3*j = 0. What is j?
-3, -2/5, 0, 1, 4
Solve -n**4/6 - 13*n**3/2 - 245*n**2/3 - 352*n - 1280/3 = 0 for n.
-16, -5, -2
Let 14*y**5 + 94*y**4 - 42*y**3 - 94*y**2 + 28*y = 0. Calculate y.
-7, -1, 0, 2/7, 1
Factor -w**5/2 - 9*w**4/2 + 11*w**3 - w**2 - 21*w/2 + 11/2.
-(w - 1)**3*(w + 1)*(w + 11)/2
Find b, given that 6*b**4/5 - 1116*b**3/5 - 22776*b**2/5 - 121284*b/5 - 19926 = 0.
-9, -1, 205
Solve -k**5/7 + 211*k**4/7 - 2130*k**3 + 51100*k**2 - 49000*k = 0.
0, 1, 70
Factor -4*k**4 + 36*k**3 - 96*k**2 + 64*k.
-4*k*(k - 4)**2*(k - 1)
Solve -3*m**4/2 - 51*m**3 + 213*m**2/2 - 54*m = 0.
-36, 0, 1
Factor 3*c**3/8 - 747*c**2/8.
3*c**2*(c - 249)/8
Let -5*a**3 + 255*a**2 + 810*a = 0. Calculate a.
-3, 0, 54
Solve 5*x**2 + 5450*x + 1485125 = 0.
-545
Let 2*o**5/15 + 4*o**4/15 - 2*o**3/15 - 4*o**2/15 = 0. What is o?
-2, -1, 0, 1
Suppose 15*i**3 - 99*i**2 + 48*i + 36 = 0. Calculate i.
-2/5, 1, 6
Factor l**4/5 + 174*l**3/5 + 204*l**2 + 2024*l/5 + 1344/5.
(l + 2)**3*(l + 168)/5
Factor a**3 + 135*a**2 + 4488*a - 4624.
(a - 1)*(a + 68)**2
Solve h**5/3 + 7*h**4/3 - 94*h**3/3 - 208*h**2/3 = 0 for h.
-13, -2, 0, 8
Factor -f**4/3 - 41*f**3/3 - 39*f**2 - 115*f/3 - 38/3.
-(f + 1)**3*(f + 38