*5/3 - 5*g**4 - 25*g**3/3 + 5*g**2 + 20*g/3 = 0. Calculate g.
-1, 0, 1, 4
Factor 2*w**2/9 + 368*w/9 + 122/3.
2*(w + 1)*(w + 183)/9
Solve -k**2/6 + 13*k/6 - 20/3 = 0 for k.
5, 8
Solve 4*s**5 - 160*s**4 + 1648*s**3 - 2688*s**2 = 0 for s.
0, 2, 14, 24
Factor -4*p**4 + 60*p**3 - 252*p**2 + 324*p.
-4*p*(p - 9)*(p - 3)**2
Suppose -12*m**2/7 + 6795*m/7 - 1698/7 = 0. What is m?
1/4, 566
Factor 2*w**2/3 - 82*w/3 + 140.
2*(w - 35)*(w - 6)/3
Suppose -20*h**5 + 345*h**4 - 1345*h**3 - 1305*h**2 + 405*h = 0. Calculate h.
-1, 0, 1/4, 9
Let 9*o**4/7 + 30*o**3/7 - 135*o**2/7 + 60*o/7 + 36/7 = 0. Calculate o.
-6, -1/3, 1, 2
What is b in 3*b**3/4 - 57*b**2 - 477*b/4 + 351/2 = 0?
-3, 1, 78
Suppose -2*d**4/5 - 22*d**3/5 = 0. What is d?
-11, 0
Find i such that 2*i**4/3 - 4*i**3/9 - 8*i**2/9 + 4*i/9 + 2/9 = 0.
-1, -1/3, 1
Determine m, given that 2*m**5 + 62*m**4 + 414*m**3 - 1022*m**2 + 544*m = 0.
-17, -16, 0, 1
Solve 5*p**4 - 215*p**3 - 445*p**2 - 225*p = 0 for p.
-1, 0, 45
What is r in -1458*r**4 - 12636*r**3 - 7992*r**2 - 1744*r - 128 = 0?
-8, -2/9
Factor 3*n**4/2 + 51*n**3/2 - 3*n**2/2 - 51*n/2.
3*n*(n - 1)*(n + 1)*(n + 17)/2
Let -3*c**2 + 99*c + 102 = 0. Calculate c.
-1, 34
Factor -q**3/2 + 35*q**2 + 228*q.
-q*(q - 76)*(q + 6)/2
Factor 3*j**3/4 + 513*j**2/4 - 399*j - 1305.
3*(j - 5)*(j + 2)*(j + 174)/4
Factor 2*r**3/9 + 2*r**2/3 - 2*r/9 - 2/3.
2*(r - 1)*(r + 1)*(r + 3)/9
Factor -80*p**2 + 76*p + 4.
-4*(p - 1)*(20*p + 1)
Factor d**3/6 + d**2 + 2*d + 4/3.
(d + 2)**3/6
Suppose d**3/3 - 143*d**2/3 + 3871*d/3 + 31205 = 0. Calculate d.
-15, 79
What is d in 2*d**5/19 + 4*d**4/19 - 2*d**3/19 - 4*d**2/19 = 0?
-2, -1, 0, 1
Factor 5*y**2 - 2635*y - 5290.
5*(y - 529)*(y + 2)
What is i in -4*i**4/9 - 64*i**3/9 + 1996*i**2/3 - 6672*i - 7344 = 0?
-51, -1, 18
Solve y**3/3 - 184*y**2/3 + 5300*y/3 + 314608/3 = 0.
-28, 106
Determine f so that -40*f**2 + 12*f + 28 = 0.
-7/10, 1
Suppose w**5 + 65*w**4/2 + 135*w**3/2 - 230*w**2 - 146*w + 120 = 0. What is w?
-30, -4, -1, 1/2, 2
Factor -2*m**3/5 + 6*m**2/5 + 8*m/5.
-2*m*(m - 4)*(m + 1)/5
Solve -4*b**3 - 4*b**2 + 84*b + 180 = 0 for b.
-3, 5
Factor -3*l**2 - 120*l.
-3*l*(l + 40)
Determine z so that -13*z**4/2 - 12*z**3 + 17*z**2/2 + 12*z - 2 = 0.
-2, -1, 2/13, 1
Suppose 5*q**4/6 - 5*q**3/3 - 5*q**2/2 = 0. What is q?
-1, 0, 3
Factor -12*w**3 - 1364*w**2 - 38532*w + 12996.
-4*(w + 57)**2*(3*w - 1)
Factor t**5/6 + 3*t**4/2 + 25*t**3/6 + 9*t**2/2 + 5*t/3.
t*(t + 1)**2*(t + 2)*(t + 5)/6
Factor -2*n**4/3 + 4*n**2/3 - 2/3.
-2*(n - 1)**2*(n + 1)**2/3
Determine g, given that 12*g**2 - 68*g + 56 = 0.
1, 14/3
Let -3*q**3 - 345*q**2 + 2904*q - 5904 = 0. What is q?
-123, 4
Solve 2*p**4/3 + 155*p**3 + 11934*p**2 + 298116*p - 474552 = 0.
-78, 3/2
Determine i so that 4*i**3 - 5916*i**2 + 2916588*i - 479292628 = 0.
493
Determine p so that -5*p**4 + 30*p**3 + 80*p**2 = 0.
-2, 0, 8
Let 2*t**3 - 160*t**2 - 2446*t + 2604 = 0. Calculate t.
-14, 1, 93
Factor 338*f**4/5 + 416*f**3/5 - 132*f**2/5 - 32*f + 10.
2*(f + 1)**2*(13*f - 5)**2/5
Solve y**2/9 + 4*y/9 - 20/3 = 0.
-10, 6
Find n such that 10*n**2/9 + 1574*n/9 - 316/3 = 0.
-158, 3/5
Solve -c**4/4 + c**3/2 + 3*c**2/4 = 0 for c.
-1, 0, 3
Factor 5*w**3 + 5*w**2 - 20*w - 20.
5*(w - 2)*(w + 1)*(w + 2)
Factor 17*q**3/5 - 32*q**2/5 - 4*q/5.
q*(q - 2)*(17*q + 2)/5
Factor 75*c**4/8 - 21255*c**3/4 + 6040647*c**2/8 - 1203033*c/2 + 240267/2.
3*(c - 283)**2*(5*c - 2)**2/8
Factor p**2/2 - p/2 - 190.
(p - 20)*(p + 19)/2
Find h such that -h**5/8 + 5*h**4/8 - 3*h**3/8 - 9*h**2/8 = 0.
-1, 0, 3
Determine h so that 7*h**4 + 5*h**3 - 2*h**2 = 0.
-1, 0, 2/7
What is y in -4*y**2 + 14672*y = 0?
0, 3668
Factor -3*k**3 - 21*k**2 + 123*k - 99.
-3*(k - 3)*(k - 1)*(k + 11)
Suppose -2*r**2/3 + 404*r/3 - 134 = 0. What is r?
1, 201
Factor 4*a**4/9 + 352*a**3/9 + 1024*a**2 + 32768*a/9 - 1048576/9.
4*(a - 8)*(a + 32)**3/9
What is r in 20*r**3 + 30652*r**2 - 42944*r + 12272 = 0?
-1534, 2/5, 1
Determine g, given that 4*g**4/9 - 8*g**2/9 + 4/9 = 0.
-1, 1
Factor -i**3/5 - 17*i**2 + 352*i/5 - 356/5.
-(i - 2)**2*(i + 89)/5
Factor 180*b**3/13 + 174*b**2/13 + 56*b/13 + 6/13.
2*(3*b + 1)**2*(10*b + 3)/13
Let q**4 - 7*q**3 - 69*q**2 - 117*q = 0. Calculate q.
-3, 0, 13
Factor 48*z**4 + 120*z**3 + 51*z**2 + 6*z.
3*z*(z + 2)*(4*z + 1)**2
Let -16*c**4 - 13920*c**3 + 41868*c**2 - 31420*c + 6984 = 0. What is c?
-873, 1/2, 2
Factor -2*v**4/3 + 2*v**3 - 2*v**2 + 2*v/3.
-2*v*(v - 1)**3/3
Find f, given that -14*f**2/11 - 120*f/11 + 54/11 = 0.
-9, 3/7
What is q in -5*q**3/2 + 135*q**2/2 - 330*q - 950 = 0?
-2, 10, 19
Factor 400*c**4 + 960*c**3 + 756*c**2 + 196*c.
4*c*(c + 1)*(10*c + 7)**2
Factor -3*b**3 - 756*b**2 + 759*b.
-3*b*(b - 1)*(b + 253)
Determine k so that -4*k**3/3 + 28*k/3 + 8 = 0.
-2, -1, 3
Factor -3*h**4 + 372*h**3 - 17298*h**2 + 357492*h - 2770563.
-3*(h - 31)**4
Factor 6*h**2/5 + 1204*h/5 + 160.
2*(h + 200)*(3*h + 2)/5
Determine f, given that 3*f**4/2 + 63*f**3 - 2205*f**2/2 - 51450*f = 0.
-35, 0, 28
Factor -4*d**2 + 5*d/2 + 3/2.
-(d - 1)*(8*d + 3)/2
Factor 5*l**3 - 50*l**2 - 65*l + 110.
5*(l - 11)*(l - 1)*(l + 2)
Suppose 60*o**3 - 1736*o**2 - 1916*o - 120 = 0. Calculate o.
-1, -1/15, 30
Factor 2*z**2 + 90*z + 172.
2*(z + 2)*(z + 43)
Let 2*q**4/9 + 166*q**3/9 + 206*q**2/3 - 1126*q/9 - 1580/9 = 0. Calculate q.
-79, -5, -1, 2
Factor 5*n**5 - 40*n**4 + 75*n**3 + 20*n**2 - 100*n.
5*n*(n - 5)*(n - 2)**2*(n + 1)
Factor 5*i**3 - 25*i**2 + 15*i + 45.
5*(i - 3)**2*(i + 1)
Factor -39*i**4/7 - 21*i**3 - 120*i**2/7 + 36*i/7.
-3*i*(i + 2)**2*(13*i - 3)/7
Find g, given that -32*g**4/3 + 760*g**3/3 - 850*g**2 + 6125*g/6 - 1250/3 = 0.
5/4, 20
Factor 8*i**2/3 - 106*i - 80/3.
2*(i - 40)*(4*i + 1)/3
Solve -5*a**2 + 2360*a - 278480 = 0.
236
Suppose -4*b**3 + 408*b**2 - 3420*b + 6696 = 0. Calculate b.
3, 6, 93
Factor -2*g**4/7 - 2064*g**3/7 + 4134*g**2/7 - 2068*g/7.
-2*g*(g - 1)**2*(g + 1034)/7
Suppose -578*q**4/9 + 15776*q**3/9 - 107648*q**2/9 = 0. Calculate q.
0, 232/17
Factor -2*s**2/9 - 452*s/3 - 2704/9.
-2*(s + 2)*(s + 676)/9
Factor 10*q**2 + 392*q/3 - 82.
2*(3*q + 41)*(5*q - 3)/3
Factor -2*r**3/7 - 200*r**2/7 + 202*r/7.
-2*r*(r - 1)*(r + 101)/7
Factor -3*b**2 + 54*b + 5304.
-3*(b - 52)*(b + 34)
Determine g so that -34*g**2/5 - 6*g + 4/5 = 0.
-1, 2/17
Factor 2*k**2/9 + 128*k/9 + 2048/9.
2*(k + 32)**2/9
Factor -2*y**4 + 19*y**3 + 714*y**2 + 3680*y + 1664.
-(y - 26)*(y + 8)**2*(2*y + 1)
Factor -2*a**2/5 + 48*a/5.
-2*a*(a - 24)/5
Factor -5*m**2 - 705*m + 1430.
-5*(m - 2)*(m + 143)
Solve -36*q**4 + 8*q**3 + 252*q**2 - 272*q + 48 = 0.
-3, 2/9, 1, 2
Factor b**3/5 - 1647*b**2/5 + 904203*b/5 - 165469149/5.
(b - 549)**3/5
Factor w**2/2 + 47*w - 291/2.
(w - 3)*(w + 97)/2
Solve -18*a**2 + 1236*a - 21218 = 0.
103/3
Solve -5*x**3 - 5*x**2 + 10*x = 0 for x.
-2, 0, 1
Factor -2*u**2 - 460*u - 26450.
-2*(u + 115)**2
Factor -n**3/9 - 384*n**2 - 442368*n - 169869312.
-(n + 1152)**3/9
Suppose 2*o**5/9 + 8*o**4/9 - 10*o**3/3 - 100*o**2/9 + 128*o/9 + 64/3 = 0. Calculate o.
-4, -1, 2, 3
Factor -7*m**4 - 663*m**3 - 15931*m**2 - 10857*m + 4418.
-(m + 1)*(m + 47)**2*(7*m - 2)
Factor -p**5/2 + 7*p**4/2 - 9*p**3 + 11*p**2 - 13*p/2 + 3/2.
-(p - 3)*(p - 1)**4/2
Solve 5*q**2 - 15975*q - 15980 = 0 for q.
-1, 3196
Find p, given that -p**4/5 + 14*p**3/5 + 77*p**2/5 - 18*p = 0.
-5, 0, 1, 18
Factor -y**4 - 19*y**3 + 244*y**2 - 224*y.
-y*(y - 8)*(y - 1)*(y + 28)
Factor 4*i**3 + 4988*i**2 - 4991*i + 1248.
(i + 1248)*(2*i - 1)**2
Solve 13*q**5 - 11*q**4 - 392*q**3 - 60*q**2 = 0.
-5, -2/13, 0, 6
Factor 4*s**3 - 644*s**2 + 28028*s - 166012.
4*(s - 77)**2*(s - 7)
Factor -2*g**3/7 + 2*g**2/7 + 48*g/7 + 72/7.
-2*(g - 6)*(g + 2)*(g + 3)/7
What is x in -x**3/8 + 201*x**2/4 - 801*x/8 + 50 = 0?
1, 400
Let -7*w**4 + 222*w**3 + 1331*w**2 + 1398*w + 296 = 0. What is w?
-4, -1, -2/7, 37
Let 2*r**2/5 - 96*r/5 + 1152/5 = 0. Calculate r.
24
Let 4*k**4 + 30092*k**3/5 - 2408*k**2 = 0. Calculate k.
-1505, 0, 2/5
Factor -2*z**3/3 + 3*z**2 - 13*z/3 + 2.
-(z - 2)*(z - 1)*(2*z - 3)/3
Let -l**2/2 - 1283*l/2 - 641 = 0. What is l?
-1282, -1
Find u such that 79*u**4 + 235*u**3 - 6*u**2 = 0.
-3, 0, 2/79
Solve -5000*r**5 + 28000*r**4 - 15050*r**3 + 130*r**2 + 592*r + 40 = 0.
-1/10, 2/5, 5
Solve 2*n**2 - 48*n - 104 = 0.
-2, 26
Factor 3*l**5/7 - 57*l**4/7 + 54*l**3 - 972*l**2/7 + 648*l/7.
3*l*(l - 6)**3*(l - 1)/7
Solve 2*o**4/