+ 8*j/3.
j*(j + 1)*(j + 2)**3/3
Suppose -3*k**3/7 - 15*k**2/7 + 39*k/7 - 3 = 0. Calculate k.
-7, 1
Factor -2*i**5/11 - 2*i**4/11 + 76*i**3/11 - 36*i**2/11 - 810*i/11 + 1350/11.
-2*(i - 3)**3*(i + 5)**2/11
Suppose f**5/2 - 47*f**4/2 + 353*f**3 - 1518*f**2 - 2700*f + 3888 = 0. What is f?
-2, 1, 12, 18
Determine o so that o**4 - 13*o**3 + 32*o**2 - 20*o = 0.
0, 1, 2, 10
Find r such that -2*r**4/5 - 16*r**3/3 - 308*r**2/15 - 304*r/15 - 14/3 = 0.
-7, -5, -1, -1/3
Find d such that d**3/3 - 51*d**2 + 2601*d - 44217 = 0.
51
Factor 5*g**2 + 130*g + 845.
5*(g + 13)**2
Solve a**5 - 28*a**4 + 77*a**3 - 50*a**2 = 0.
0, 1, 2, 25
Factor 5*q**2 + 2100*q + 220500.
5*(q + 210)**2
Find u, given that 5*u**5 + 60*u**4 + 175*u**3 + 120*u**2 = 0.
-8, -3, -1, 0
Suppose 2*m**2 - 62*m - 532 = 0. What is m?
-7, 38
Find q such that -128*q**5/3 - 1568*q**4/3 - 1586*q**3/3 + 1879*q**2/3 - 383*q/3 + 22/3 = 0.
-11, -2, 1/8, 1/2
Find a, given that -2*a**5 + 6*a**4 - 2*a**3 - 6*a**2 + 4*a = 0.
-1, 0, 1, 2
Find j such that 9*j**2/8 + 15*j/4 - 75/8 = 0.
-5, 5/3
Find o such that -14*o**3/13 - 134*o**2/13 + 68*o/13 + 80/13 = 0.
-10, -4/7, 1
Factor n**2/2 - 272*n.
n*(n - 544)/2
Find y such that 2*y**5/13 - 6*y**4/13 + 2*y**3/13 + 6*y**2/13 - 4*y/13 = 0.
-1, 0, 1, 2
Find y, given that 2*y**3 - 14*y**2 + 20*y = 0.
0, 2, 5
Solve w**3 - 17*w**2 + 91*w - 147 = 0 for w.
3, 7
Factor -2*w**4/15 + 94*w**3/15 + 194*w**2/15 + 98*w/15.
-2*w*(w - 49)*(w + 1)**2/15
Solve i**2/3 + 2*i/3 = 0.
-2, 0
Factor 9*n**3 + 154*n**2/5 + 28*n + 24/5.
(n + 2)*(5*n + 6)*(9*n + 2)/5
Find u, given that 5*u**5 - 60*u**4 + 130*u**3 + 60*u**2 - 135*u = 0.
-1, 0, 1, 3, 9
Solve 5*c**3/2 - 1485*c**2 - 5975*c/2 + 4470 = 0.
-3, 1, 596
Factor -2*q**4 - 8*q**3 + 74*q**2 - 136*q + 72.
-2*(q - 2)**2*(q - 1)*(q + 9)
Suppose 82*c**5 - 990*c**4 + 3024*c**3 - 2840*c**2 + 192*c = 0. What is c?
0, 3/41, 2, 8
Suppose -k**2/2 - 103*k/2 = 0. What is k?
-103, 0
Suppose -45*f**5 - 570*f**4 - 2060*f**3 - 280*f**2 + 8960*f + 10240 = 0. Calculate f.
-16/3, -2, 2
Factor -729*w**4/7 - 486*w**3/7 - 108*w**2/7 - 8*w/7.
-w*(9*w + 2)**3/7
Let -4*p**4 + 40*p**3 + 92*p**2 - 960*p - 2304 = 0. Calculate p.
-3, 8
Factor h**4 - 274*h**3 + 19041*h**2 - 37264*h + 18496.
(h - 136)**2*(h - 1)**2
Factor b**2 - 3*b.
b*(b - 3)
Factor 5*l**2 + 7660*l + 2933780.
5*(l + 766)**2
Factor -2*j**4/3 + 16*j**3/3 - 10*j**2/3 - 100*j/3.
-2*j*(j - 5)**2*(j + 2)/3
Factor -20*p**3 - 458*p**2 + 1606*p - 156.
-2*(p - 3)*(p + 26)*(10*p - 1)
Determine d so that -14*d**5/9 - 94*d**4/9 - 224*d**3/9 - 208*d**2/9 - 32*d/9 + 32/9 = 0.
-2, -1, 2/7
Factor -3*b**4/2 + 21*b**3/2 - 9*b**2.
-3*b**2*(b - 6)*(b - 1)/2
Suppose -2*u**3/3 + 78*u**2 - 688*u/3 + 152 = 0. What is u?
1, 2, 114
Determine n, given that 5*n**3/7 + 53*n**2/7 + 172*n/7 + 160/7 = 0.
-5, -4, -8/5
Factor -14*v**3 + 38*v**2 - 34*v + 10.
-2*(v - 1)**2*(7*v - 5)
Factor -4*h**2 + 92*h + 96.
-4*(h - 24)*(h + 1)
Determine c so that -c**4/3 + 58*c**3/3 - 215*c**2/3 - 58*c/3 + 72 = 0.
-1, 1, 4, 54
Find n, given that n**4/2 + 9*n**3 + 61*n**2/2 + 36*n + 14 = 0.
-14, -2, -1
Solve -4*k**4 - 644*k**3/3 + 224*k**2/3 + 144*k = 0 for k.
-54, -2/3, 0, 1
Suppose 5*f**4 + 90*f**3 + 360*f**2 + 470*f + 195 = 0. Calculate f.
-13, -3, -1
What is n in 2*n**4/15 + 52*n**3/3 - 266*n**2/15 - 524*n/15 = 0?
-131, -1, 0, 2
Factor 3*y**2 - 45*y + 78.
3*(y - 13)*(y - 2)
Factor -f**3/5 - 33*f**2/5 + 34*f/5.
-f*(f - 1)*(f + 34)/5
Determine f so that 2*f**4/7 - 690*f**3/7 - 198*f**2 - 694*f/7 = 0.
-1, 0, 347
Factor 5*k**2 - 110*k + 200.
5*(k - 20)*(k - 2)
Factor s**3 + s**2 - 4*s - 4.
(s - 2)*(s + 1)*(s + 2)
Factor 8*i**3/21 + 2*i**2/21 - 8*i/21 - 2/21.
2*(i - 1)*(i + 1)*(4*i + 1)/21
Find w, given that -2*w**5/3 - 4*w**4/3 + 4*w**2/3 + 2*w/3 = 0.
-1, 0, 1
Determine n so that -2*n**4 - 48*n**3 - 324*n**2 - 864*n - 810 = 0.
-15, -3
Determine c, given that 4*c**5/15 - 22*c**4/15 + 2*c**3/3 = 0.
0, 1/2, 5
Factor -125*r**2/3 + 50*r - 15.
-5*(5*r - 3)**2/3
Factor 33*v**2/2 - 133*v/2 + 65.
(3*v - 5)*(11*v - 26)/2
Suppose u**5/4 - 2*u**4 + 5*u**3 - 4*u**2 = 0. Calculate u.
0, 2, 4
Solve 4*s**3 - 89*s**2 - 170*s + 48 = 0.
-2, 1/4, 24
Factor n**4/2 + 71*n**3 - 216*n**2 + 217*n - 145/2.
(n - 1)**3*(n + 145)/2
Determine b so that 3*b**5 - 45*b**4/2 + 57*b**3/2 - 9*b**2 = 0.
0, 1/2, 1, 6
Determine d so that -5*d**2/4 + 15*d - 45 = 0.
6
Factor -h**3/2 - 6*h**2/5 - 2*h/5.
-h*(h + 2)*(5*h + 2)/10
Suppose -4*n**3/7 + 184*n**2/7 + 6364*n/7 - 295840/7 = 0. Calculate n.
-40, 43
Factor -3*c**3/4 + 243*c**2/4.
-3*c**2*(c - 81)/4
Determine m, given that -2*m**4/3 + 140*m**3/3 + 2*m**2/3 - 140*m/3 = 0.
-1, 0, 1, 70
Factor -w**2 - 2*w + 15.
-(w - 3)*(w + 5)
Solve 2*r**5/5 + 6*r**4/5 + 4*r**3/5 = 0 for r.
-2, -1, 0
Let -2*g**3 - 1058*g**2 + 4256*g - 4264 = 0. What is g?
-533, 2
Factor f**2/6 - 3*f/2 + 7/3.
(f - 7)*(f - 2)/6
Find i, given that -10*i**4/17 - 56*i**3/17 - 66*i**2/17 + 36*i/17 = 0.
-3, 0, 2/5
Let 350*y**4/3 - 438*y**3 + 1052*y**2/3 + 120*y - 16/3 = 0. Calculate y.
-2/7, 1/25, 2
Factor 2*n**3 - 66*n**2 + 508*n + 576.
2*(n - 18)*(n - 16)*(n + 1)
Factor -3*n**4 - 12*n**3 - 6*n**2 + 12*n + 9.
-3*(n - 1)*(n + 1)**2*(n + 3)
Determine i so that -i**4/4 - 47*i**3/4 + 75*i**2/2 - i - 50 = 0.
-50, -1, 2
Solve -3*k**5/2 + 135*k**4/2 - 792*k**3 + 726*k**2 = 0.
0, 1, 22
Let 2*f**2/3 + 501*f - 752/3 = 0. What is f?
-752, 1/2
Find y, given that -y**4 - 14*y**3 + 51*y**2 - 4*y - 68 = 0.
-17, -1, 2
Solve 3*t**2/4 + 3*t/4 - 9/2 = 0.
-3, 2
Suppose 2*s**5/11 - 6*s**4/11 - 12*s**3/11 + 16*s**2/11 = 0. What is s?
-2, 0, 1, 4
Factor -3*p**2/8 - 3*p/4 + 9/8.
-3*(p - 1)*(p + 3)/8
Let -3*f**3 - 111*f**2 - 381*f + 495 = 0. Calculate f.
-33, -5, 1
Factor -4*f**3/9 + 52*f**2/3 - 704*f/9 + 272/3.
-4*(f - 34)*(f - 3)*(f - 2)/9
Factor 21*r**3 + 426*r**2 - 321*r - 126.
3*(r - 1)*(r + 21)*(7*r + 2)
Let -432*t**4/5 - 264*t**3/5 + 44*t**2/5 + 26*t/5 - 4/5 = 0. What is t?
-1/2, 1/6, 2/9
Suppose -o**5/8 + 35*o**4/4 - 751*o**3/4 + 2837*o**2/2 - 18465*o/8 + 4275/4 = 0. What is o?
1, 15, 38
Factor -5*n**4 + 30*n**3 - 60*n**2 + 50*n - 15.
-5*(n - 3)*(n - 1)**3
Find r such that 14*r**4/5 - 116*r**3/5 + 18*r**2/5 + 116*r/5 - 32/5 = 0.
-1, 2/7, 1, 8
Factor -5*h**4 - 115*h**3 - 250*h**2 + 5740*h + 5880.
-5*(h - 6)*(h + 1)*(h + 14)**2
Let 5*n**2 + 70*n + 200 = 0. What is n?
-10, -4
Factor 4*b**3 + 144*b**2 + 960*b - 6400.
4*(b - 4)*(b + 20)**2
Suppose -7*m**5 - 24*m**4 - 16*m**3 + 18*m**2 + 23*m + 6 = 0. Calculate m.
-2, -1, -3/7, 1
Factor -3*r**2 - 7758*r - 5015547.
-3*(r + 1293)**2
Find q such that -q**5/4 - 5*q**4 + 93*q**3/4 - 19*q**2 - 23*q + 24 = 0.
-24, -1, 1, 2
Find p, given that 3*p**4 - 12*p**3 - 39*p**2 + 120*p + 144 = 0.
-3, -1, 4
Factor 2*u**2 - 1076*u.
2*u*(u - 538)
Suppose -450*a**4 - 930*a**3 - 608*a**2 - 128*a = 0. Calculate a.
-1, -8/15, 0
Suppose -k**3/2 + 8*k**2 + k/2 - 8 = 0. What is k?
-1, 1, 16
Find f, given that 5*f**2 - 3605*f = 0.
0, 721
Find k, given that 2*k**5/3 + 14*k**4/3 + 6*k**3 - 14*k**2/3 - 20*k/3 = 0.
-5, -2, -1, 0, 1
Factor 2*i**4/13 + 6*i**3/13 - 12*i**2/13 - 56*i/13 - 48/13.
2*(i - 3)*(i + 2)**3/13
Suppose 256*s**5/7 - 1024*s**4/7 - 1184*s**3/7 - 464*s**2/7 - 79*s/7 - 5/7 = 0. What is s?
-1/4, 5
Factor -2*f**2/13 + 1420*f/13 - 252050/13.
-2*(f - 355)**2/13
Suppose -24*m**3/7 - 519*m**2/7 + 1998*m/7 - 675/7 = 0. Calculate m.
-25, 3/8, 3
Find t such that 2*t**2 - 290*t - 2772 = 0.
-9, 154
Find q such that -2*q**5/9 + 14*q**4/9 + 8*q**3/3 - 136*q**2/9 - 224*q/9 = 0.
-2, 0, 4, 7
Factor -3*i**3 + 99*i**2 - 312*i - 1044.
-3*(i - 29)*(i - 6)*(i + 2)
Factor 2*p**2/15 - 3868*p/3 + 9350890/3.
2*(p - 4835)**2/15
Solve -7*l**5/4 + 1189*l**4/2 - 199219*l**3/4 - 116622*l**2 - 29241*l = 0.
-2, -2/7, 0, 171
Factor -5*j**4 + 40*j**3 - 30*j**2 - 40*j + 35.
-5*(j - 7)*(j - 1)**2*(j + 1)
Solve 3*j**5/4 + 57*j**4/4 + 147*j**3/2 + 132*j**2 + 72*j = 0 for j.
-12, -4, -2, -1, 0
Determine z so that -2*z**3/7 + 528*z**2/7 - 46464*z/7 + 1362944/7 = 0.
88
Factor -16*f**5 + 196*f**4 - 624*f**3 + 144*f**2.
-4*f**2*(f - 6)**2*(4*f - 1)
Factor -g**4/6 - 7*g**3/3 + 6*g**2 + 28*g/3 - 64/3.
-(g - 2)**2*(g + 2)*(g + 16)/6
Solve 2*y**4 + 8*y**3 - 54*y**2 + 76*y - 32 = 0 for y.
-8, 1, 2
Solve 2*d**4/5 + 572*d**3/5 + 40322*d**2/5 - 82368*d/5 + 41472/5 = 0.
-144, 1
Factor -3*u**4/4 + 9*u**3/4 + 3*u**2.
-3*