
Find o, given that 224*o**4/3 - 226*o**3/3 + 2*o**2/3 = 0.
0, 1/112, 1
Determine m, given that -m**2 - 7588*m - 14394436 = 0.
-3794
Find q such that -4*q**2 + 2124*q + 4264 = 0.
-2, 533
Factor 3*y**2/5 - 126*y/5 - 81.
3*(y - 45)*(y + 3)/5
Determine v, given that -v**5/2 + 4*v**4 + 10*v**3 + v**2 - 19*v/2 - 5 = 0.
-1, 1, 10
Factor 5*n**2 - 207*n + 82.
(n - 41)*(5*n - 2)
Factor -5*x**4 + 65*x**3 + 165*x**2 - 225*x.
-5*x*(x - 15)*(x - 1)*(x + 3)
Factor -912*c**2 - 460*c - 2.
-2*(2*c + 1)*(228*c + 1)
Suppose -w**2 + 275*w = 0. What is w?
0, 275
Find g, given that -2*g**4 + 91*g**3 - 11809*g**2/8 + 40131*g/4 - 194481/8 = 0.
7, 63/4
Let -16*f**3/3 - 52*f**2/9 - 2*f/9 + 2/9 = 0. What is f?
-1, -1/4, 1/6
Suppose 2*o**3/13 - 74*o**2/13 + 72*o/13 = 0. What is o?
0, 1, 36
Factor 3*r**4 - 612*r**3 + 30594*r**2 + 63036*r + 31827.
3*(r - 103)**2*(r + 1)**2
Let -25*x**4 - 555*x**3 + 1150*x**2 + 1680*x = 0. What is x?
-24, -1, 0, 14/5
Solve -g**3/11 - 71*g**2/11 + g/11 + 71/11 = 0.
-71, -1, 1
Determine x, given that -5*x**2 + 17440*x - 15207680 = 0.
1744
Suppose -b**5 + 3*b**4/2 + 5*b**3 - 4*b - 3/2 = 0. Calculate b.
-1, -1/2, 1, 3
What is k in -2*k**2/17 + 126*k/17 + 128/17 = 0?
-1, 64
Factor 4*p**2/5 - 16*p - 84/5.
4*(p - 21)*(p + 1)/5
Factor -2*u**3/3 - 32*u**2/3 - 30*u + 108.
-2*(u - 2)*(u + 9)**2/3
Solve -a**4 + 1212*a**3 - 368446*a**2 + 733260*a - 366025 = 0 for a.
1, 605
Factor d**3 + 45*d**2 + 87*d + 43.
(d + 1)**2*(d + 43)
Determine a, given that a**2/3 - 4*a/3 + 1 = 0.
1, 3
Suppose f**5 - 6*f**4 - 24*f**3 + 224*f**2 - 384*f = 0. What is f?
-6, 0, 4
Suppose -3*q**3/5 + 81*q**2/5 - 72*q/5 - 156/5 = 0. What is q?
-1, 2, 26
Factor -2*b**3 + 252*b**2 - 250*b.
-2*b*(b - 125)*(b - 1)
Factor w**2 - 21*w - 46.
(w - 23)*(w + 2)
Factor -4*h**3 + 8*h**2.
-4*h**2*(h - 2)
Factor -2*l**2/5 - 288*l/5 - 10368/5.
-2*(l + 72)**2/5
Factor 4*x**4 - 12*x**3 - 16*x**2.
4*x**2*(x - 4)*(x + 1)
Find j, given that -3*j**5/8 + 21*j**4/8 - 3*j**3/8 - 141*j**2/8 + 3*j/4 + 15 = 0.
-2, -1, 1, 4, 5
Factor -l**3/4 + 19*l**2/4 - 55*l/4 - 75/4.
-(l - 15)*(l - 5)*(l + 1)/4
Determine h, given that -15*h**4 + 50*h**3 - 45*h**2 + 10*h = 0.
0, 1/3, 1, 2
Suppose 2*z**4/9 + 28*z**3/3 + 80*z**2/3 + 236*z/9 + 26/3 = 0. What is z?
-39, -1
Factor -2*y**3 + 248*y**2 - 242*y - 492.
-2*(y - 123)*(y - 2)*(y + 1)
Factor x**5/4 - 19*x**4/2 + 529*x**3/4 - 798*x**2 + 1764*x.
x*(x - 12)**2*(x - 7)**2/4
Factor -2*j**2/7 - 6*j.
-2*j*(j + 21)/7
Suppose -9*q**4 + 147*q**3 + 105*q**2 - 51*q = 0. Calculate q.
-1, 0, 1/3, 17
Factor -6*k**3 + 188*k**2 + 130*k - 64.
-2*(k - 32)*(k + 1)*(3*k - 1)
Factor -5*p**2 - 5*p + 280.
-5*(p - 7)*(p + 8)
Factor -5*s**3 + 11850*s**2 - 7021125*s.
-5*s*(s - 1185)**2
Factor -2*r**2 - 20*r + 78.
-2*(r - 3)*(r + 13)
Factor z**2/7 - 326*z/7 - 141.
(z - 329)*(z + 3)/7
Find g such that -4*g**4 + 12*g**3 - 4*g**2 - 12*g + 8 = 0.
-1, 1, 2
Solve -h**5 + 87*h**4/2 - 1009*h**3/2 + 1365*h**2/2 - 441*h/2 = 0.
0, 1/2, 1, 21
Factor -a**4/3 - 13*a**3/3 - 47*a**2/3 - 59*a/3 - 8.
-(a + 1)**2*(a + 3)*(a + 8)/3
Factor 3*u**3/8 + 87*u**2/8 + 39*u/4 - 21.
3*(u - 1)*(u + 2)*(u + 28)/8
Factor -x**5/2 + 89*x**4/2 - 1347*x**3 + 14587*x**2 - 41209*x/2 - 73167/2.
-(x - 29)**3*(x - 3)*(x + 1)/2
Let -18*t**4 - 166*t**3 - 360*t**2 - 72*t = 0. Calculate t.
-6, -3, -2/9, 0
Determine a, given that 3*a**3 - 528*a**2 - 531*a = 0.
-1, 0, 177
Suppose -2*v**5/7 - 10*v**4/7 + 46*v**3/7 - 22*v**2/7 - 44*v/7 + 32/7 = 0. Calculate v.
-8, -1, 1, 2
Factor -2*q**4 + 2292*q**3 + 20736*q**2 + 62316*q + 62370.
-2*(q - 1155)*(q + 3)**3
Suppose x**4/4 - 7*x**3/4 - 2*x**2 = 0. What is x?
-1, 0, 8
Solve 9*t**3 + 3*t**2 - 9*t - 3 = 0.
-1, -1/3, 1
Solve 2*m**4 + 40*m**3/3 + 28*m**2 + 24*m + 22/3 = 0.
-11/3, -1
What is s in 4*s**5 + 32*s**4 - 80*s**3 - 1152*s**2 - 2304*s = 0?
-6, -4, 0, 6
Let 2*y**3/5 + 64*y**2/15 + 46*y/5 + 16/3 = 0. Calculate y.
-8, -5/3, -1
Factor n**3 - 329*n**2 + 655*n - 327.
(n - 327)*(n - 1)**2
Factor 3*p**2/2 - 117*p/2.
3*p*(p - 39)/2
Factor -k**4/5 + 52*k**3/5 + 11*k**2 - 106*k/5.
-k*(k - 53)*(k - 1)*(k + 2)/5
Factor 4*y**2/3 + 64*y/3 - 320/3.
4*(y - 4)*(y + 20)/3
Factor 94*d**2 + 102*d + 8.
2*(d + 1)*(47*d + 4)
Find k such that 4*k**3 - 76*k**2 + 64*k + 144 = 0.
-1, 2, 18
Find z, given that -2*z**2/3 + 6*z - 28/3 = 0.
2, 7
What is m in -3*m**2 + 915*m + 2772 = 0?
-3, 308
Factor -2*j**2/5 - 18*j/5 + 28.
-2*(j - 5)*(j + 14)/5
Solve 2*v**3 + 14*v**2 - 16*v = 0.
-8, 0, 1
Find j such that -6*j**3 + 1461*j**2 - 2181*j + 726 = 0.
1/2, 1, 242
Find x such that 2*x**2/7 + 3278*x/7 + 468 = 0.
-1638, -1
Factor -25*a**5/3 + 45*a**4 - 97*a**3 + 313*a**2/3 - 56*a + 12.
-(a - 1)**3*(5*a - 6)**2/3
Find p, given that 4*p**3/9 - 16*p/9 = 0.
-2, 0, 2
Solve -5*s**4 + 2595*s**3 - 10320*s**2 + 10300*s = 0 for s.
0, 2, 515
Factor -t**2 + 3091*t - 6178.
-(t - 3089)*(t - 2)
Factor -722*v**2/5 - 456*v/5 - 72/5.
-2*(19*v + 6)**2/5
Factor 2*z**5/7 + 142*z**4/7.
2*z**4*(z + 71)/7
Factor 2*y**3/3 - 52*y**2/3 + 32*y.
2*y*(y - 24)*(y - 2)/3
Factor 3*o**3/4 - 879*o**2 + 257547*o.
3*o*(o - 586)**2/4
Determine d, given that -3*d**4/4 + 63*d**3/2 - 111*d**2/4 - 126*d + 123 = 0.
-2, 1, 2, 41
Factor 20*h**4 - 112*h**3 + 132*h**2 - 8*h - 32.
4*(h - 4)*(h - 1)**2*(5*h + 2)
Factor 5*f**3 + 520*f**2 - 2160*f.
5*f*(f - 4)*(f + 108)
What is s in s**4 - 10*s**3 - 36*s**2 - 38*s - 13 = 0?
-1, 13
Solve h**5 + 15*h**4 - 39*h**3 - 79*h**2 + 102*h = 0 for h.
-17, -2, 0, 1, 3
Let -12*g**2 - 242*g - 40 = 0. What is g?
-20, -1/6
Factor t**4/9 + 5*t**3/9 + 2*t**2/9 - 8*t/9.
t*(t - 1)*(t + 2)*(t + 4)/9
Let 2*x**3 + 38*x**2 + 100*x + 64 = 0. Calculate x.
-16, -2, -1
Let 2*l**3/9 - 404*l**2 + 244824*l - 49454448 = 0. What is l?
606
Factor -4*b**5/7 + 40*b**4/7 + 156*b**3/7.
-4*b**3*(b - 13)*(b + 3)/7
Factor -2*n**2 - 2262*n - 9016.
-2*(n + 4)*(n + 1127)
Factor -10*d**2/7 + 138*d/7 + 4.
-2*(d - 14)*(5*d + 1)/7
Factor -4*m**5 + 36*m**4 - 56*m**3 - 8*m**2 + 60*m - 28.
-4*(m - 7)*(m - 1)**3*(m + 1)
Find d, given that 5*d**4 - 20*d**3 - 15*d**2 + 90*d = 0.
-2, 0, 3
Factor b**4 + 69*b**3 + 189*b**2 - 589*b + 330.
(b - 1)**2*(b + 5)*(b + 66)
Factor -5*x**5 + 50*x**4 - 165*x**3 + 200*x**2 - 80*x.
-5*x*(x - 4)**2*(x - 1)**2
Determine f so that f**4/5 - 12*f**3/5 - 74*f**2/5 + 132*f + 605 = 0.
-5, 11
Determine y, given that -2*y**3 + 1098*y**2 + 2202*y + 1102 = 0.
-1, 551
Determine a so that -3*a**5/4 + 11*a**4/2 - 13*a**3/2 - 13*a**2 + 29*a/4 + 15/2 = 0.
-1, -2/3, 1, 3, 5
Find p such that 4*p**4 + 168*p**3 + 1812*p**2 + 4928*p - 6912 = 0.
-27, -8, 1
Determine j so that 36*j**4 + 3300*j**3 + 75073*j**2 - 25300*j + 2116 = 0.
-46, 1/6
Solve u**5 + 12*u**4 + 7*u**3 - 48*u**2 - 44*u = 0 for u.
-11, -2, -1, 0, 2
Factor -3*j**3/4 + 129*j**2/4 - 63*j/2.
-3*j*(j - 42)*(j - 1)/4
Solve -i**2/9 - 1568*i/3 - 614656 = 0.
-2352
Find h such that 2*h**5/5 - 2*h**4 - 42*h**3/5 + 106*h**2/5 - 56*h/5 = 0.
-4, 0, 1, 7
Suppose 2*l**2 - 208*l - 1320 = 0. What is l?
-6, 110
Let -2*h**4/9 + 20*h**3/9 - 16*h**2/3 - 64*h/9 + 256/9 = 0. What is h?
-2, 4
Suppose -g**5 + g**4/3 + 9*g**3 + g**2 - 40*g/3 + 4 = 0. Calculate g.
-2, 1/3, 1, 3
Solve 4*j**3 - 40*j**2 + 132*j - 144 = 0 for j.
3, 4
Factor 2*g**3/3 - 376*g**2/15 - 152*g/15.
2*g*(g - 38)*(5*g + 2)/15
Suppose 5*n**4 - 45*n**3 + 540*n = 0. What is n?
-3, 0, 6
Suppose -9*s**4/5 - 64*s**3/5 - 21*s**2 - 10*s = 0. What is s?
-5, -10/9, -1, 0
Let -3*u**2 + 1578*u - 3144 = 0. What is u?
2, 524
Suppose -3*k**3 + 96*k**2 - 321*k - 420 = 0. What is k?
-1, 5, 28
Suppose 5*a**2 + 19880*a + 19760720 = 0. What is a?
-1988
Find o such that -2*o**2/5 - 2*o/5 + 8 = 0.
-5, 4
What is r in 2*r**5/7 + 170*r**4/7 - 522*r**3/7 + 526*r**2/7 - 176*r/7 = 0?
-88, 0, 1
Suppose 4*h**3/3 - 16*h/3 = 0. Calculate h.
-2, 0, 2
Factor -b**3 + 413*b**2 - 42435*b - 42849.
-(b - 207)**2*(b + 1)
Let -2*j**4/9 + 64*j**3/9 - 232*j**2/9 + 224*j/9 = 0. Calculate j.
0, 2, 28
What is w in 10*w**4 - 10975*w**3 + 5460*w**2 + 27415*w + 10970 = 0?
-1, -1/2, 2, 1097
Factor -10*b**2/21 - 2*b/7.
-2*b*(5*b + 3)/21
Factor -3*f**4 - 6*f**3 + 21*f**2 + 60*f + 36.
-3*(f - 3)*(f + 1)*(f + 2)**2
Suppose 6*q**4 - 45*q**3 - 486*q**2 + 2187*q + 13122 = 0. Calculate q.
-6, -9/2, 9
Solve -2*x**5 + 20*x**4 - 42*x**3 = 0.
0, 3, 7
What is l in -l**3/5 + 34*l**2/5 - 43*l + 182/5 = 0?
1, 7, 26
Let 3*p**2/4 + 