4 + 159656*j**3 + 32558388*j**2 + 18565712*j + 2650384.
4*(j + 407)**2*(7*j + 2)**2
Determine b so that -98*b**3 + 6706*b**2 - 67040*b + 182400 = 0.
40/7, 57
Determine m, given that -3*m**5 + 351*m**4 - 13308*m**3 + 147360*m**2 + 633600*m - 768000 = 0.
-4, 1, 40
Factor 5*f**4 - 10*f**3 - 5*f**2 + 10*f.
5*f*(f - 2)*(f - 1)*(f + 1)
Find z, given that -4*z**4/15 - 2*z**3/5 + 8*z**2/15 + 2*z/5 - 4/15 = 0.
-2, -1, 1/2, 1
Factor -a**2/2 + 13*a/6 + 5/3.
-(a - 5)*(3*a + 2)/6
Let 2*v**4/5 + 6*v**3 + 164*v**2/5 + 384*v/5 + 64 = 0. What is v?
-5, -4, -2
Factor 4*l**3 + 20*l**2 + 28*l + 12.
4*(l + 1)**2*(l + 3)
Factor k**2/6 - 10*k/3 + 50/3.
(k - 10)**2/6
Factor 4*w**4 - 36*w**3 + 116*w**2 - 156*w + 72.
4*(w - 3)**2*(w - 2)*(w - 1)
Factor 4*g**3 + 2904*g**2 + 702768*g + 56689952.
4*(g + 242)**3
Determine f, given that 3*f**2 + 123*f - 258 = 0.
-43, 2
Factor 34*d**3/3 - 370*d**2/3 + 638*d/3 - 302/3.
2*(d - 1)**2*(17*d - 151)/3
Determine m so that -48*m**5/11 + 84*m**4/11 - 42*m**3/11 + 6*m**2/11 = 0.
0, 1/4, 1/2, 1
Factor 3*c**4 + 345*c**3 - 1419*c**2 + 1071*c.
3*c*(c - 3)*(c - 1)*(c + 119)
Factor -3*o**3/7 + 732*o**2/7 - 49932*o/7 + 623808/7.
-3*(o - 114)**2*(o - 16)/7
Factor 4*m**3 + 28*m**2 - 40*m - 64.
4*(m - 2)*(m + 1)*(m + 8)
Factor 2*b**4/9 + 4*b**3 + 32*b**2/3 + 92*b/9 + 10/3.
2*(b + 1)**3*(b + 15)/9
Factor -3*w**3 - 21*w**2 - 30*w.
-3*w*(w + 2)*(w + 5)
Factor 5*b**4 + 335*b**3 - 1765*b**2 + 2505*b - 1080.
5*(b - 3)*(b - 1)**2*(b + 72)
Factor -6*l**2 + 832*l/3 - 184/3.
-2*(l - 46)*(9*l - 2)/3
Suppose 3*j**3/8 + 89*j**2/8 + 69*j/4 - 7 = 0. Calculate j.
-28, -2, 1/3
Determine f so that f**5 + 3*f**4 - 5*f**3 - 15*f**2 + 4*f + 12 = 0.
-3, -2, -1, 1, 2
Factor 49*b**2/8 - 119*b/2 + 289/2.
(7*b - 34)**2/8
Factor 1635841*n**2 - 5116*n + 4.
(1279*n - 2)**2
Factor -2*k**3/3 - 1172*k**2/3 - 2338*k/3 - 1168/3.
-2*(k + 1)**2*(k + 584)/3
Determine g, given that 2*g**4/9 + 20*g**3/9 - 2*g**2/9 - 20*g/9 = 0.
-10, -1, 0, 1
Suppose -15*x**4 + 183*x**3 - 660*x**2 + 924*x - 432 = 0. What is x?
1, 2, 36/5
Find j, given that 4*j**5/3 - 16*j**4/3 - 8*j**3 + 16*j**2/3 + 20*j/3 = 0.
-1, 0, 1, 5
Solve -85*s**4 + 1285*s**3 - 6525*s**2 + 11375*s - 1250 = 0 for s.
2/17, 5
Find m such that m**3/2 - 14*m**2 + 157*m/2 - 105 = 0.
2, 5, 21
Factor -2*j**4/7 - 26*j**3/7 - 24*j**2/7.
-2*j**2*(j + 1)*(j + 12)/7
What is y in -15*y**4/8 + 261*y**3/8 + 177*y**2/8 - 261*y/8 - 81/4 = 0?
-1, -3/5, 1, 18
Determine z so that 3*z**2/2 - 216*z + 429/2 = 0.
1, 143
Suppose -5*c**5 + 10*c**3 - 5*c = 0. Calculate c.
-1, 0, 1
What is y in 108*y**5 + 180*y**4 - 825*y**3 + 690*y**2 - 165*y + 12 = 0?
-4, 1/6, 1
Factor -2*g**4/7 - 20*g**3/7 - 54*g**2/7 - 36*g/7.
-2*g*(g + 1)*(g + 3)*(g + 6)/7
Factor -r**3 - 105*r**2 - 3675*r - 42875.
-(r + 35)**3
Solve 5*i**2 - 40*i = 0 for i.
0, 8
Factor d**3/2 - 9*d**2 + 81*d/2.
d*(d - 9)**2/2
Factor -g**5 - 8*g**4 - 6*g**3 + 8*g**2 + 7*g.
-g*(g - 1)*(g + 1)**2*(g + 7)
Determine u so that 5*u**2 - 135*u + 460 = 0.
4, 23
Factor 4*x**4 + 16*x**3 - 372*x**2 + 1168*x - 1040.
4*(x - 5)*(x - 2)**2*(x + 13)
Find y, given that -y**3/8 + 73*y**2/4 = 0.
0, 146
Let -n**2/4 + 51*n/4 - 77 = 0. Calculate n.
7, 44
Find b, given that -20*b**5 - 25*b**4 + 90*b**3 + 35*b**2 - 140*b + 60 = 0.
-2, 3/4, 1
Let 5*k**3 + 5*k**2 = 0. Calculate k.
-1, 0
Solve a**3/2 + 45*a**2/2 + 675*a/2 + 3375/2 = 0 for a.
-15
Factor g**2 - 1179*g - 1180.
(g - 1180)*(g + 1)
Find t such that -44*t**4 - 240*t**3 - 252*t**2 + 40*t + 96 = 0.
-4, -1, 6/11
Let -6*f**2/5 + 1382*f/15 + 308/15 = 0. Calculate f.
-2/9, 77
Determine s, given that 5*s**4 + 260*s**3 + 2530*s**2 - 260*s - 2535 = 0.
-39, -13, -1, 1
Suppose -2*w**4 + 163*w**3/2 - 275*w**2/2 + 77*w/2 + 39/2 = 0. Calculate w.
-1/4, 1, 39
Suppose -2*x**2/3 - 44*x/3 - 242/3 = 0. What is x?
-11
Factor -3*z**5 + 30*z**4 - 102*z**3 + 108*z**2 + 81*z - 162.
-3*(z - 3)**3*(z - 2)*(z + 1)
Determine k so that k**2/8 - 5*k/2 - 11/2 = 0.
-2, 22
Solve -d**3/2 - 87*d**2/2 - 1487*d/2 + 1575/2 = 0.
-63, -25, 1
Find d, given that -4*d**3/7 - 3124*d**2/7 - 608396*d/7 + 611524/7 = 0.
-391, 1
Factor -8*o**2 + 92*o - 44.
-4*(o - 11)*(2*o - 1)
Factor 3*z**2/5 + 12*z/5 + 9/5.
3*(z + 1)*(z + 3)/5
Factor 4*u**2 + 13400*u - 26816.
4*(u - 2)*(u + 3352)
Factor -2*q**2/11 + 1124*q - 1737142.
-2*(q - 3091)**2/11
Factor -r**3/2 - 16*r**2 - 96*r.
-r*(r + 8)*(r + 24)/2
Determine c so that -c**3/9 - 5*c**2/3 - 16*c/3 + 64/9 = 0.
-8, 1
Factor -2*f**2/19 + 28*f/19 - 26/19.
-2*(f - 13)*(f - 1)/19
Let 96*q**3 - 204*q**2/5 - 258*q/5 - 18/5 = 0. What is q?
-1/2, -3/40, 1
Factor v**5/6 - v**4/2 - v**3/2 + 7*v**2/6 + v.
v*(v - 3)*(v - 2)*(v + 1)**2/6
Factor -l**2 - 1672*l - 1671.
-(l + 1)*(l + 1671)
Factor 4*u**2 + 288*u + 284.
4*(u + 1)*(u + 71)
Let 2*l**2/7 - 60*l/7 - 198/7 = 0. Calculate l.
-3, 33
Solve -14*y**3 - 192*y**2 - 406*y + 132 = 0 for y.
-11, -3, 2/7
Determine k, given that -4*k**3/7 + 104*k**2/7 - 900*k/7 + 2592/7 = 0.
8, 9
Factor n**3 - 10*n**2 + 29*n - 20.
(n - 5)*(n - 4)*(n - 1)
Find m such that m**4 + m**3 - 5*m**2 + 3*m = 0.
-3, 0, 1
Factor 3*z**2/8 - 9*z/4 + 15/8.
3*(z - 5)*(z - 1)/8
Let 11*u**3/5 + 38*u**2/5 = 0. Calculate u.
-38/11, 0
Let 3*g**2/5 - 3*g/5 - 18/5 = 0. What is g?
-2, 3
Factor 3*z**2 - 3852*z + 1236492.
3*(z - 642)**2
Determine r, given that -21*r**3/5 - 372*r**2/5 - 1593*r/5 + 486/5 = 0.
-9, 2/7
Solve -2*u**5/11 - 8*u**4/11 + 38*u**3/11 + 140*u**2/11 - 192*u/11 - 576/11 = 0.
-4, -2, 3
Let -x**4/12 + x**3/12 + 5*x**2/4 - 3*x/4 - 9/2 = 0. What is x?
-3, -2, 3
Factor -r**4/4 - 23*r**3/4 - 93*r**2/4 + 455*r/4 - 169/2.
-(r - 2)*(r - 1)*(r + 13)**2/4
Factor -4*s**5 + 104*s**4 - 700*s**3 - 1400*s**2 + 22000*s - 20000.
-4*(s - 10)**3*(s - 1)*(s + 5)
Factor -j**2/3 + 35*j/3 - 124/3.
-(j - 31)*(j - 4)/3
What is a in -4*a**2 + 2484*a + 2488 = 0?
-1, 622
Let c**5/4 - 3*c**4/2 + 9*c**3/4 - c**2 = 0. What is c?
0, 1, 4
Factor 20*a**3 + 13488*a**2 + 5392*a.
4*a*(a + 674)*(5*a + 2)
Factor -5*s**4 - 5*s**3 + 10*s**2.
-5*s**2*(s - 1)*(s + 2)
Factor -3*a**3/2 + 27*a**2/2 - 36*a + 24.
-3*(a - 4)**2*(a - 1)/2
Find p such that 3*p**2/5 - 402*p/5 + 13467/5 = 0.
67
Determine m, given that 8*m**4/13 - 126*m**3/13 - 40*m**2/13 + 126*m/13 + 32/13 = 0.
-1, -1/4, 1, 16
Factor f**3/4 + 73*f**2/4 + 143*f/4 + 71/4.
(f + 1)**2*(f + 71)/4
Factor 3*s**5 - 24*s**4 + 6*s**3 + 240*s**2 - 225*s.
3*s*(s - 5)**2*(s - 1)*(s + 3)
Suppose -4*o**3 + 100*o**2 - 748*o + 1452 = 0. Calculate o.
3, 11
Factor 4*p**4 + 36*p**3 + 116*p**2 + 156*p + 72.
4*(p + 1)*(p + 2)*(p + 3)**2
Find q, given that -3*q**2/4 - 27*q/4 + 39 = 0.
-13, 4
Factor 2*s**2/15 + 152*s/3 + 14440/3.
2*(s + 190)**2/15
Factor -8*y**3 - 92*y**2 + 408*y - 180.
-4*(y - 3)*(y + 15)*(2*y - 1)
Solve -8*o**5/11 + 238*o**4/11 - 1964*o**3/11 + 2854*o**2/11 - 728*o/11 - 392/11 = 0.
-1/4, 1, 14
Suppose -3*j**4/7 - 141*j**3/7 + 150*j**2/7 + 288*j/7 = 0. What is j?
-48, -1, 0, 2
Factor -27*q**4/5 + 468*q**3/5 - 1866*q**2/5 - 1404*q/5 - 243/5.
-3*(q - 9)**2*(3*q + 1)**2/5
Factor 4*m**2 - 164*m + 160.
4*(m - 40)*(m - 1)
Solve -7*t**2 + 9*t - 2 = 0 for t.
2/7, 1
Find g, given that 3*g**3/8 - 15*g**2/8 + 3*g/2 = 0.
0, 1, 4
Factor 2*v**5 - 4*v**4 - 52*v**3 - 112*v**2 - 94*v - 28.
2*(v - 7)*(v + 1)**3*(v + 2)
Let -2*a**4 + 116*a**3 + 486*a**2 + 616*a + 248 = 0. What is a?
-2, -1, 62
What is s in -120409*s**2/3 + 2776*s/3 - 16/3 = 0?
4/347
Factor -v**3 + 84*v**2 - 161*v - 246.
-(v - 82)*(v - 3)*(v + 1)
Factor 2*k**3 - 384*k**2 + 762*k - 380.
2*(k - 190)*(k - 1)**2
Suppose 3*y**5 - 25*y**4 + 27*y**3 + 9*y**2 - 14*y = 0. What is y?
-2/3, 0, 1, 7
Determine j so that -2*j**5/11 + 18*j**3/11 - 8*j**2/11 - 24*j/11 = 0.
-3, -1, 0, 2
Factor -4*t**2 - 12*t + 40.
-4*(t - 2)*(t + 5)
Let 2*v**3/3 + 254*v**2/3 + 502*v/3 + 250/3 = 0. What is v?
-125, -1
Let 3*w**4/7 - 18*w**3/7 + 12*w**2/7 + 18*w/7 - 15/7 = 0. What is w?
-1, 1, 5
Factor 2*p**2/3 + 14140*p/3 + 24992450/3.
2*(p + 3535)**2/3
Factor 4*n**5 + 308*n**4 - 1604*n**3 + 2924*n**2 - 2288*n + 656.
4*(n - 2)*(n - 1)**3*(n + 82)
Determine y, given that -8316*y**3 - 39*y**2 + 348*y - 12 = 0.
-2/9, 1/28, 2/11
Suppose 3*i**4 - 3*i**3 - 21*i**2 + 39*i - 18 = 0. Calculate i.
-3, 1, 2
Determine y, given that 5*y**4 - 955*y**3 + 51840*y**2 - 566720*y - 619520 = 0.
-1, 16, 88
Determine c, given that -2*c**3/5 - 6*c**2 - 126*c/5 -