
-3*(m - 605)**3/2
Let -3*c**4 - 135*c**3 - 1443*c**2 + 1863*c + 3174 = 0. Calculate c.
-23, -1, 2
Let 21*w**5/2 + 15*w**4/2 - 45*w**3 - 30*w**2 + 12*w = 0. Calculate w.
-2, -1, 0, 2/7, 2
Solve -146*m**2/13 + 288*m/13 + 8/13 = 0.
-2/73, 2
What is x in 2*x**2/7 - 4600*x/7 + 2645000/7 = 0?
1150
Let -2*w**3/11 - 2*w**2 - 16*w/11 + 40/11 = 0. What is w?
-10, -2, 1
Find x, given that x**3/5 + 1346*x**2/5 - 539*x + 1348/5 = 0.
-1348, 1
Factor -2*n**2/3 + 10*n/3 - 8/3.
-2*(n - 4)*(n - 1)/3
Factor -p**2/2 - 23*p.
-p*(p + 46)/2
What is c in 2*c**2/11 - 4712*c/11 + 2775368/11 = 0?
1178
Solve 4*l**3 + 4*l**2 - 64*l - 64 = 0.
-4, -1, 4
Factor -c**3 + 2*c**2 + 31*c + 28.
-(c - 7)*(c + 1)*(c + 4)
Let -3*y**3 - 15*y**2 = 0. Calculate y.
-5, 0
Factor 2*c**3/5 + 60*c**2.
2*c**2*(c + 150)/5
Factor -5*g**2 + 80*g + 180.
-5*(g - 18)*(g + 2)
Factor m**3/2 - 59*m**2/2 + 115*m/2 - 57/2.
(m - 57)*(m - 1)**2/2
Factor -z**4/5 + 36*z**3/5 - 47*z**2 - 360*z + 400.
-(z - 20)**2*(z - 1)*(z + 5)/5
Factor 3*g**4/4 + 15*g**3/2 + 18*g**2 + 33*g/2 + 21/4.
3*(g + 1)**3*(g + 7)/4
Factor -r**2/8 + 209*r/8 + 105/4.
-(r - 210)*(r + 1)/8
Factor 3*n**2/4 + 27*n - 111/4.
3*(n - 1)*(n + 37)/4
Let -5*k**3 + 180*k**2 - 2160*k + 8640 = 0. Calculate k.
12
Suppose -v**4/4 + 23*v**3/4 - 105*v**2/4 - 283*v/4 - 77/2 = 0. Calculate v.
-1, 11, 14
Factor -2*z**2 + 48*z + 680.
-2*(z - 34)*(z + 10)
Determine l so that 2*l**4/5 + 22*l**3/5 + 66*l**2/5 + 2*l - 20 = 0.
-5, -2, 1
What is j in -3*j**4 + 12*j**3 + 9*j**2 - 42*j + 24 = 0?
-2, 1, 4
Let -z**3/2 + 1896*z**2 - 2396544*z + 1009743872 = 0. Calculate z.
1264
Factor -4*a**2/3 - 808*a/3 + 1380.
-4*(a - 5)*(a + 207)/3
Factor -2*a**2/9 + 64*a/9 + 22/3.
-2*(a - 33)*(a + 1)/9
Find p such that p**3/5 + 62*p**2/5 - 384*p + 12384/5 = 0.
-86, 12
Let 5*d**3 - 202*d**2 - 340*d + 168 = 0. Calculate d.
-2, 2/5, 42
Factor -y**3/4 - 7*y**2/4 - 15*y/4 - 9/4.
-(y + 1)*(y + 3)**2/4
Factor -3*c**2/5 - 1035*c - 10338/5.
-3*(c + 2)*(c + 1723)/5
Suppose -b**4 + 45*b**3 + 145*b**2 - 45*b - 144 = 0. What is b?
-3, -1, 1, 48
Suppose 4*p**2 - 268*p + 264 = 0. What is p?
1, 66
Let 20*r**3 - 115*r**2 + 130*r + 40 = 0. Calculate r.
-1/4, 2, 4
Solve -3*l**2/4 - 60*l = 0 for l.
-80, 0
Let w**2 - 154*w + 5929 = 0. What is w?
77
What is d in 5*d**2 - 1690*d + 142805 = 0?
169
Find p such that -4*p**4 - 124*p**3 - 112*p**2 + 240*p = 0.
-30, -2, 0, 1
Factor 3*c**2 - 870*c - 1752.
3*(c - 292)*(c + 2)
Determine c so that -7*c**3/6 + 16*c**2 + 145*c/6 - 25 = 0.
-2, 5/7, 15
What is w in -38*w**5/15 + 908*w**4/15 + 204*w**3 + 3352*w**2/15 + 1346*w/15 + 36/5 = 0?
-1, -2/19, 27
Factor -2*z**2/7 + 108*z/7 + 720/7.
-2*(z - 60)*(z + 6)/7
Factor x**2/6 - 535*x/3 - 357/2.
(x - 1071)*(x + 1)/6
Factor z**3/6 - 11*z**2/3 + 19*z/6 + 7.
(z - 21)*(z - 2)*(z + 1)/6
What is y in -60*y**5 - 4*y**4 + 344*y**3 - 472*y**2 + 228*y - 36 = 0?
-3, 1/3, 3/5, 1
Suppose 2*z**5/5 + 8*z**4/5 + 6*z**3/5 - 8*z**2/5 - 8*z/5 = 0. Calculate z.
-2, -1, 0, 1
Factor 20*u**3 + 56*u**2 + 28*u - 8.
4*(u + 1)*(u + 2)*(5*u - 1)
Suppose 261*t**2 + 339*t + 84 = 0. What is t?
-28/29, -1/3
Suppose 4*q**3 - 16*q = 0. What is q?
-2, 0, 2
Factor 2*l**4/11 + 6*l**3/11 - 18*l**2/11 + 10*l/11.
2*l*(l - 1)**2*(l + 5)/11
Factor 2*t**4/7 - 68*t**3/7 + 62*t**2/7 + 132*t/7.
2*t*(t - 33)*(t - 2)*(t + 1)/7
Find v, given that 3*v**4/2 + 93*v**3/2 - 99*v**2 = 0.
-33, 0, 2
Factor -4*m**3/7 + 36*m**2/7 - 108*m/7 + 108/7.
-4*(m - 3)**3/7
Solve f**3 + 492*f**2 - 493*f = 0.
-493, 0, 1
Factor 3*m**4 + 1761*m**3.
3*m**3*(m + 587)
Factor -l**2/8 + 13*l/8 - 15/4.
-(l - 10)*(l - 3)/8
Let r**2 - 15*r + 54 = 0. Calculate r.
6, 9
What is m in -m**2 + 10*m + 75 = 0?
-5, 15
Solve 4*d**5/9 - 8*d**4/9 - 16*d**3/9 + 32*d**2/9 = 0 for d.
-2, 0, 2
Find j such that 2*j**3/9 + 44*j**2/9 - 32*j/3 = 0.
-24, 0, 2
Factor p**2 - 21*p - 22.
(p - 22)*(p + 1)
Factor 4*q**3 - 2916*q**2.
4*q**2*(q - 729)
Solve -a**3/4 + 100*a**2 - 10000*a = 0 for a.
0, 200
Factor 4*z**3 + 48*z**2 - 1024.
4*(z - 4)*(z + 8)**2
Suppose -22*i**4 - 2438*i**3/3 + 148*i**2/3 = 0. Calculate i.
-37, 0, 2/33
Factor i**2 + 9*i + 18.
(i + 3)*(i + 6)
Factor -3*y**3/7 - 18*y**2/7 - 33*y/7 - 18/7.
-3*(y + 1)*(y + 2)*(y + 3)/7
Solve 2*k**5 + 14*k**4 - 2*k**3 - 14*k**2 = 0 for k.
-7, -1, 0, 1
Determine o, given that -4*o**2/3 - 184*o/3 - 820/3 = 0.
-41, -5
Find d, given that -d**3/4 - 6*d**2 - 83*d/4 - 15 = 0.
-20, -3, -1
Suppose 4*z**4 + 45*z**3 + 44*z**2 - 60*z = 0. What is z?
-10, -2, 0, 3/4
Factor -2*d**2/11 - 1376*d/11 - 236672/11.
-2*(d + 344)**2/11
Solve -5*j**4 + 35*j**3 + 45*j**2 - 35*j - 40 = 0.
-1, 1, 8
Find r such that -r**3/5 + 742*r**2/5 + r/5 - 742/5 = 0.
-1, 1, 742
What is y in 4*y**3 - 192*y - 512 = 0?
-4, 8
Solve -x**2 + 173*x - 172 = 0.
1, 172
Factor -p**5/6 - 7*p**4/6 + 67*p**3/3 + 145*p**2/3 - 6325*p/6 + 15125/6.
-(p - 5)**3*(p + 11)**2/6
Solve -3*c**3 + 57*c**2 + 264*c + 276 = 0 for c.
-2, 23
Let -2*i**3/3 - 316*i**2/3 + 432*i = 0. What is i?
-162, 0, 4
Find h, given that 35*h**4 + 185*h**3 - 160*h**2 - 60*h = 0.
-6, -2/7, 0, 1
Factor -q**5/3 + q**4/3 + q**3 - 5*q**2/3 + 2*q/3.
-q*(q - 1)**3*(q + 2)/3
Factor -2*f**4 + 798*f**3 - 2382*f**2 + 2378*f - 792.
-2*(f - 396)*(f - 1)**3
Suppose a**3/4 + 27*a**2/4 = 0. Calculate a.
-27, 0
Factor 5*f**3/6 + 295*f**2/3 - 1195*f/6 + 100.
5*(f - 1)**2*(f + 120)/6
Factor 2*k**4 - 956*k**3 + 952*k**2 + 956*k - 954.
2*(k - 477)*(k - 1)**2*(k + 1)
What is w in -w**4/3 + 2*w**3/3 + 7*w**2/3 - 8*w/3 - 4 = 0?
-2, -1, 2, 3
Factor -45*i**3 + 1740*i**2 - 10385*i - 134670.
-5*(i + 6)*(3*i - 67)**2
Factor 2*k**4 + 26*k**3 + 44*k**2.
2*k**2*(k + 2)*(k + 11)
Let 4*z**4 + 20*z**3 - 60*z**2 - 20*z + 56 = 0. Calculate z.
-7, -1, 1, 2
Factor 75*t**4 + 80*t**3 + 5*t**2.
5*t**2*(t + 1)*(15*t + 1)
Factor 4*i**4/3 + 16*i**3/3 - 8*i**2 - 16*i/3 + 20/3.
4*(i - 1)**2*(i + 1)*(i + 5)/3
Factor -4*o**2/5 + 8*o - 20.
-4*(o - 5)**2/5
Factor -4*v**2/5 + 12*v + 1144/5.
-4*(v - 26)*(v + 11)/5
Find w, given that 2*w**5/7 - 2*w**4/7 - 2*w**3/7 + 2*w**2/7 = 0.
-1, 0, 1
Factor -3*z**3/2 + 15*z**2/2 + 21*z.
-3*z*(z - 7)*(z + 2)/2
Determine y, given that -25*y**4 + 535*y**3 - 1455*y**2 + 1405*y - 460 = 0.
1, 92/5
Let -2*i**4/9 + 26*i**3/3 - 586*i**2/9 + 470*i/3 - 100 = 0. Calculate i.
1, 3, 5, 30
Suppose -2*c**4 + 60*c**3 - 168*c**2 + 164*c - 54 = 0. What is c?
1, 27
Solve t**2/3 - 16/3 = 0 for t.
-4, 4
Find u such that -5*u**5 + 13*u**4 + 11*u**3 - 13*u**2 - 6*u = 0.
-1, -2/5, 0, 1, 3
Find g, given that 2*g**2 - 2474*g = 0.
0, 1237
Find i such that 5*i**4 + 8*i**3 + i**2 - 2*i = 0.
-1, 0, 2/5
Solve -2*x**3 + 274*x**2/5 + 578*x/5 + 294/5 = 0 for x.
-1, 147/5
Factor 2*t**5 + 64*t**4.
2*t**4*(t + 32)
What is z in z**4/2 - 52*z**3 = 0?
0, 104
Determine j, given that -2*j**5/13 - 6*j**4/13 + 2*j**3/13 + 6*j**2/13 = 0.
-3, -1, 0, 1
Find s, given that -s**5/2 - s**4/2 + 3*s**3/2 + s**2/2 - s = 0.
-2, -1, 0, 1
Let -2*x**4/3 - 2*x**3 - 4*x**2/3 = 0. Calculate x.
-2, -1, 0
Factor -f**4/5 + 12*f**3/5 + 14*f**2/5 - 12*f/5 - 13/5.
-(f - 13)*(f - 1)*(f + 1)**2/5
Let -2*q**5/9 - 76*q**4/9 - 1018*q**3/9 - 5840*q**2/9 - 4984*q/3 - 1568 = 0. Calculate q.
-14, -4, -3
Factor 2*j**2 + 740*j/7 + 1326/7.
2*(j + 51)*(7*j + 13)/7
Factor 2*x**3 + 10*x**2 + 6*x - 18.
2*(x - 1)*(x + 3)**2
Suppose -4*w**5 + 104*w**4 + 115*w**3 - 191*w**2 + 54*w = 0. What is w?
-2, 0, 1/2, 27
Let -3*x**3/4 - 9*x**2/2 - 27*x/4 - 3 = 0. Calculate x.
-4, -1
Factor -4*y**2 + 1948*y - 3880.
-4*(y - 485)*(y - 2)
Suppose 2*n**3/3 - 48*n**2 - 770*n/3 = 0. What is n?
-5, 0, 77
Factor -3*b**5 + 9*b**3 + 6*b**2.
-3*b**2*(b - 2)*(b + 1)**2
Find t such that 3*t**2 + 4632*t = 0.
-1544, 0
Factor 3*s**5 + 711*s**4 - 1431*s**3 + 717*s**2.
3*s**2*(s - 1)**2*(s + 239)
Suppose 4*h**3 + 176*h**2 + 500*h + 328 = 0. Calculate h.
-41, -2, -1
Factor 3*u**2 - 7026*u + 4113723.
3*(u - 1171)**2
Let -v**2/3 - 52*v/3 - 100/3 = 0. What is v?
-50, -2
Factor -5*y**2 - 2940*y.
-5*y*(y + 588)
Find j such that -4*j**3 + 120*j**2 - 668*j + 552 = 0.
1, 6, 23
Find y such that 3*y**4/8 + 39*y**3/8 - 261*y**2/4 + 381*y/2 - 165 = 0.
-22, 2, 5
What is a in -a**4/5 + 13*a**3/5 - 36*a**2/5 = 0?
0, 4, 9
Factor -5*i**3 + 475*i**2 - 14000*i + 120000.
-5*(i - 40)**2*(i - 15)
Suppose b**4/4 - 129*b**3 + 1029*b**2/4 - 257*b/2 = 0. What is b?
0, 1, 514
Factor -25*q**4 + 215*q**3 - 5