
Factor -o**3/7 + 80*o**2/7 - 204*o - 1008.
-(o - 42)**2*(o + 4)/7
Suppose -k**4 - k**3 + 27*k**2 - 27*k - 54 = 0. What is k?
-6, -1, 3
Suppose 4*n**3/7 - 4*n**2 - 72*n/7 = 0. What is n?
-2, 0, 9
Factor v**5 + 393*v**4 + 39198*v**3 + 115246*v**2 + 114465*v + 38025.
(v + 1)**3*(v + 195)**2
What is d in 3*d**5 + 30*d**4 + 39*d**3 - 72*d**2 = 0?
-8, -3, 0, 1
Find y such that -248*y**4 + 494*y**3 + 1740*y**2 + 1006*y + 8 = 0.
-1, -1/124, 4
Factor -f**3/3 - f**2/3 + f/3 + 1/3.
-(f - 1)*(f + 1)**2/3
Factor 3*h**4 - 1059*h**3 - 1062*h**2.
3*h**2*(h - 354)*(h + 1)
Solve -5*n**4/2 + 5*n**3/2 + 15*n**2 - 10*n - 20 = 0.
-2, -1, 2
What is n in n**4/5 - 3*n**3 + 5*n**2 + 3*n - 26/5 = 0?
-1, 1, 2, 13
Suppose 5*j**4 + 24*j**3 - 441*j**2/5 - 404*j/5 - 84/5 = 0. What is j?
-7, -2/5, 3
Factor 2*z**3 - 18*z**2 - 8*z + 72.
2*(z - 9)*(z - 2)*(z + 2)
Let -4*c**3 - 3504*c**2 = 0. Calculate c.
-876, 0
Factor -2*a**5 - 470*a**4 - 44180*a**3 - 2076460*a**2 - 48796810*a - 458690014.
-2*(a + 47)**5
Factor -3*j**3/7 + 738*j**2/7 + 3000*j/7.
-3*j*(j - 250)*(j + 4)/7
Find r such that -2*r**4/7 - 668*r**3/7 - 664*r**2/7 + 668*r/7 + 666/7 = 0.
-333, -1, 1
Suppose -2*g**2/5 - 620*g - 240250 = 0. Calculate g.
-775
Factor 1331*d**4/2 + 1452*d**3 - 1485*d**2 + 432*d - 81/2.
(d + 3)*(11*d - 3)**3/2
Determine m, given that 3*m**4/7 + 16503*m**3/7 + 4322214*m**2 + 2639430444*m - 2643755016 = 0.
-1834, 1
Find d such that -4*d**5 + 36*d**4 - 80*d**3 + 48*d**2 = 0.
0, 1, 2, 6
Factor -w**3 - 12*w**2 - 17*w + 30.
-(w - 1)*(w + 3)*(w + 10)
Solve -5*d**3 - 5*d**2 + 45*d + 45 = 0.
-3, -1, 3
Solve 4*b**2 - 16024*b + 16048036 = 0.
2003
Determine q so that -1314*q**3/7 - 3939*q**2/7 + 5265*q/7 - 12/7 = 0.
-4, 1/438, 1
Let -4*k**2 - 12*k + 16 = 0. What is k?
-4, 1
Determine y so that 3*y**3/7 + 15*y**2/7 + 6*y/7 - 24/7 = 0.
-4, -2, 1
Suppose -7290*i**5 - 81405*i**4 - 150525*i**3 - 77030*i**2 - 15420*i - 1080 = 0. What is i?
-9, -3/2, -2/9
Factor -3*j**2/8 - 15*j/8 + 21/4.
-3*(j - 2)*(j + 7)/8
Determine d so that 4*d**5/7 + 16*d**4/7 - 72*d**3/7 - 288*d**2/7 + 324*d/7 + 1296/7 = 0.
-4, -3, 3
Factor -4*r**3 - 248*r**2 - 1756*r - 1512.
-4*(r + 1)*(r + 7)*(r + 54)
Factor 2*r**4/7 - 886*r**3/7 - 254*r**2 - 890*r/7.
2*r*(r - 445)*(r + 1)**2/7
Suppose 2*c**2/5 + 16*c/5 = 0. What is c?
-8, 0
Factor -3*l**2/4 - 405*l/8 - 201/8.
-3*(l + 67)*(2*l + 1)/8
Factor -21*z**2/8 + 219*z/8 - 45/4.
-3*(z - 10)*(7*z - 3)/8
Solve -16*x**5/5 + 92*x**4/5 - 24*x**3 + 28*x**2/5 + 16*x/5 = 0.
-1/4, 0, 1, 4
Find f such that -2*f**4/5 - 48*f**3/5 - 50*f**2 - 204*f/5 = 0.
-17, -6, -1, 0
Let -3*u**5 + 33*u**4 - 102*u**3 + 42*u**2 + 105*u - 75 = 0. Calculate u.
-1, 1, 5
Find i, given that -75*i**3/4 + 27585*i**2/4 + 33183*i/4 + 9963/4 = 0.
-3/5, 369
Factor -2*n**3 + 144*n**2/5 - 546*n/5 + 196/5.
-2*(n - 7)**2*(5*n - 2)/5
Factor m**3/7 + 3*m**2/7 - 18*m/7.
m*(m - 3)*(m + 6)/7
Factor 3*v**3 + 330*v**2 + 651*v + 324.
3*(v + 1)**2*(v + 108)
Factor 2*k**3 + 14*k**2 + 14*k - 30.
2*(k - 1)*(k + 3)*(k + 5)
Determine z, given that z**2/11 + 322*z/11 + 321/11 = 0.
-321, -1
Suppose 4*c**3 - 16*c = 0. Calculate c.
-2, 0, 2
Suppose -2*a**4 + 176*a**3/3 - 52*a**2/3 - 176*a/3 + 58/3 = 0. Calculate a.
-1, 1/3, 1, 29
Factor 3*h**2 + 84*h + 225.
3*(h + 3)*(h + 25)
Find q such that -4*q**2 - 232*q - 1764 = 0.
-49, -9
Solve p**5 - 20*p**4 + 78*p**3 + 220*p**2 + 121*p = 0.
-1, 0, 11
Factor 4*x**5 - 108*x**4 + 848*x**3 - 640*x**2 - 9600*x - 8000.
4*(x - 10)**3*(x + 1)*(x + 2)
Let 4*c**4 + 16*c**3 - 44*c**2 - 120*c = 0. Calculate c.
-5, -2, 0, 3
Factor -2*s**3 - 116*s**2 + 506*s + 620.
-2*(s - 5)*(s + 1)*(s + 62)
Factor -3*l**2 + 162*l - 2175.
-3*(l - 29)*(l - 25)
Suppose -2*g**2/13 - 30*g/13 + 32/13 = 0. What is g?
-16, 1
Factor 2*d**3/13 + 16*d**2/13 - 2*d/13 - 16/13.
2*(d - 1)*(d + 1)*(d + 8)/13
Determine b, given that -b**3/6 - 5*b**2/6 - 2*b/3 = 0.
-4, -1, 0
Factor 2*q**3 + 38*q**2.
2*q**2*(q + 19)
Suppose -322*b**3/15 + 2696*b**2/15 - 968*b/15 + 64/15 = 0. Calculate b.
2/23, 2/7, 8
Factor m**2/4 + 3479*m/2 + 12103441/4.
(m + 3479)**2/4
Suppose -5*o**4 - 155*o**3 - 945*o**2 - 505*o + 1610 = 0. What is o?
-23, -7, -2, 1
Factor 4*r**2/5 + 24*r/5 + 4.
4*(r + 1)*(r + 5)/5
Solve -62*q**2/3 - 46*q/3 + 16/3 = 0.
-1, 8/31
Find j such that -5*j**4 - 70*j**3 + 435*j**2 + 1260*j - 1620 = 0.
-18, -3, 1, 6
Factor 14*q**3/13 + 2426*q**2/13 + 692*q/13.
2*q*(q + 173)*(7*q + 2)/13
Factor -2*g**3/5 + 192*g**2/5 - 376*g/5.
-2*g*(g - 94)*(g - 2)/5
Factor -5*w**4 + 130*w**3 - 125*w**2.
-5*w**2*(w - 25)*(w - 1)
Determine p, given that -10*p**4/13 - 16*p**3/13 + 18*p**2/13 + 16*p/13 - 8/13 = 0.
-2, -1, 2/5, 1
Solve 15*m**5/4 - 87*m**4/2 + 162*m**3 - 228*m**2 + 60*m + 72 = 0 for m.
-2/5, 2, 6
Suppose -80*j**5 - 92*j**4 + 316*j**3 + 376*j**2 + 16*j - 32 = 0. Calculate j.
-2, -1, -2/5, 1/4, 2
Suppose -2*w**3/9 - 434*w**2/9 - 23326*w/9 + 23762/9 = 0. What is w?
-109, 1
Determine t so that 3*t**4/2 - 69*t**3/2 + 543*t**2/2 - 1719*t/2 + 945 = 0.
3, 7, 10
Solve p**4/4 - 2*p**3 + 21*p**2/4 - 11*p/2 + 2 = 0.
1, 2, 4
Solve 8*p**4/5 - 26*p**3 + 2*p**2 + 68*p + 192/5 = 0 for p.
-1, -3/4, 2, 16
Solve 2*z**2 - z/3 = 0 for z.
0, 1/6
Factor 3*n**2 - 1116*n + 1113.
3*(n - 371)*(n - 1)
Factor d**2 - 132*d + 4356.
(d - 66)**2
Factor q**3/3 - 92*q**2/3 - 187*q/3 - 94/3.
(q - 94)*(q + 1)**2/3
Determine d so that d**2 - 21*d + 54 = 0.
3, 18
Solve -6*i**5 - 32*i**4/3 + 80*i**3/3 + 20*i**2/3 - 62*i/3 + 4 = 0 for i.
-3, -1, 2/9, 1
Let 2*q**2/9 + 38*q/9 + 56/3 = 0. Calculate q.
-12, -7
Let -3*x**3 - 99*x**2 - 513*x - 729 = 0. What is x?
-27, -3
Factor -2*r**2/11 - 92*r/11 - 410/11.
-2*(r + 5)*(r + 41)/11
What is m in -3*m**2/5 - 249*m/5 + 882 = 0?
-98, 15
Factor -3*c**5/8 - 99*c**4/8 - 765*c**3/8 + 867*c**2/8.
-3*c**2*(c - 1)*(c + 17)**2/8
Suppose -5*r**4 + 75*r**3 - 180*r**2 - 20*r + 240 = 0. What is r?
-1, 2, 12
Factor y**3/4 + 11*y**2/4 + 13*y/2 + 4.
(y + 1)*(y + 2)*(y + 8)/4
Solve -y**5/4 - 3*y**4/4 - y**3/4 + 3*y**2/4 + y/2 = 0.
-2, -1, 0, 1
Factor -v**5 + 111*v**4 + 339*v**3 + 341*v**2 + 114*v.
-v*(v - 114)*(v + 1)**3
Find y such that -4*y**2 - 32*y + 80 = 0.
-10, 2
Factor -3*x**2/4 - 2331*x/4 - 2325/2.
-3*(x + 2)*(x + 775)/4
Factor 2*m**4 - 126*m**3 + 1920*m**2 + 2048*m.
2*m*(m - 32)**2*(m + 1)
Let -2*i**2 - 592*i - 43808 = 0. Calculate i.
-148
Factor -5*s**5 + 45*s**4 - 105*s**3 + 95*s**2 - 30*s.
-5*s*(s - 6)*(s - 1)**3
Factor 3*u**3 - 6*u**2 - 9*u.
3*u*(u - 3)*(u + 1)
Factor -v**5/4 - 11*v**4/4 - 39*v**3/4 - 61*v**2/4 - 11*v - 3.
-(v + 1)**3*(v + 2)*(v + 6)/4
Determine b, given that -7*b**3/8 + 607*b**2/8 + 355*b/2 + 89/2 = 0.
-2, -2/7, 89
Factor -2*z**3/5 - 8*z**2/5 - 2*z - 4/5.
-2*(z + 1)**2*(z + 2)/5
Solve 5*r**4 - 105*r**3 + 600*r**2 + 320*r - 7680 = 0 for r.
-3, 8
Factor -3*r**3 + 12726*r**2 - 25443*r + 12720.
-3*(r - 4240)*(r - 1)**2
Factor -2*m**2 - 264*m - 8712.
-2*(m + 66)**2
Factor l**4/10 + 9*l**3/2 - 153*l**2/5 + 16*l/5 + 816/5.
(l - 4)**2*(l + 2)*(l + 51)/10
What is t in 2*t**5 + 1094*t**4 + 4352*t**3 + 4344*t**2 = 0?
-543, -2, 0
Factor -265*x**2/3 - 527*x/3 + 2.
-(x + 2)*(265*x - 3)/3
Let -5*r**4 - 5*r**3 = 0. Calculate r.
-1, 0
Suppose -4*w**5 + 20*w**4 - 20*w**3 - 20*w**2 + 24*w = 0. Calculate w.
-1, 0, 1, 2, 3
Determine f so that 32*f**5/13 + 112*f**4/13 - 222*f**3/13 + 88*f**2/13 - 10*f/13 = 0.
-5, 0, 1/4, 1
Let 2*n**4/5 + 12*n**3/5 - 14*n**2/5 = 0. Calculate n.
-7, 0, 1
Factor -2*f**3/3 + 104*f**2/3 - 568*f/3 + 736/3.
-2*(f - 46)*(f - 4)*(f - 2)/3
Factor 4*n**4/9 + 5756*n**3/9 + 11500*n**2/9 + 1916*n/3.
4*n*(n + 1)**2*(n + 1437)/9
Let -5*b**3/4 - 105*b**2/4 + 270*b + 6075 = 0. Calculate b.
-18, 15
What is w in -w**3/2 + 269*w**2/2 - 18995*w/2 + 120127/2 = 0?
7, 131
What is w in 2*w**2/9 - 182*w/9 - 124/3 = 0?
-2, 93
Find t, given that 4*t**2 - 352*t = 0.
0, 88
Let 12*i**5 + 148*i**4 + 408*i**3 + 456*i**2 + 220*i + 36 = 0. Calculate i.
-9, -1, -1/3
Factor 2*o**2/9 + 670*o/3.
2*o*(o + 1005)/9
Factor g**3/6 + 83*g**2/6 - 169*g/6 + 85/6.
(g - 1)**2*(g + 85)/6
Find a, given that -a**3/3 + 17*a**2/3 + 20*a/3 - 12 = 0.
-2, 1, 18
Factor 3*q**3/8 + 3*q**2/4 + 3*q/8.
3*q*(q + 1)**2/8
Solve -180*l**2 + 660*l - 605 = 0 for l.
11/6
Solve -3*m**4/8 + 13*m**3/4 + 9*m**2 + 27*m/4 + 11/8 = 0.
-1, -1/3, 11
Find c such that -2*c**5/13 - 836*c**4/13 - 87362*c**3/13 = 0.
-209, 0
F