2*u**2 - 27312*u - 16 = 0.
-2, -2/3413
Find k, given that -2*k**4/5 + 6*k**3/5 + 12*k**2/5 - 16*k/5 = 0.
-2, 0, 1, 4
Factor 3*n**3 + 39*n**2 - 204*n.
3*n*(n - 4)*(n + 17)
Solve -5*w**4 - 2005*w**3 - 1995*w**2 + 2005*w + 2000 = 0 for w.
-400, -1, 1
Suppose -3*b**2/4 - 5*b/2 = 0. What is b?
-10/3, 0
Suppose c**2/6 + c/6 - 7 = 0. Calculate c.
-7, 6
Let 162*g**2/13 - 9468*g/13 + 138338/13 = 0. Calculate g.
263/9
Let -2*l**2/11 + 84*l/11 + 86/11 = 0. What is l?
-1, 43
Factor 3*c**2 - 105*c + 522.
3*(c - 29)*(c - 6)
Find x, given that 2*x**3 + 36*x**2 + 154*x + 120 = 0.
-12, -5, -1
Determine q so that 4*q**2 - 68*q - 440 = 0.
-5, 22
Let -14*p**5/3 - 6*p**4 + 14*p**3/3 + 6*p**2 = 0. What is p?
-9/7, -1, 0, 1
Factor 2*i**2/5 - 4*i/5.
2*i*(i - 2)/5
Factor 2*m**4/3 - 430*m**3/3 + 7632*m**2 + 7776*m.
2*m*(m - 108)**2*(m + 1)/3
Factor 4*h**3/3 - 116*h**2/3 + 296*h/3 + 416/3.
4*(h - 26)*(h - 4)*(h + 1)/3
Solve -n**2/5 - 172*n/5 - 7396/5 = 0 for n.
-86
Factor 6*w**3/5 + 27*w**2 + 63*w/5 - 66/5.
3*(w + 1)*(w + 22)*(2*w - 1)/5
Factor 3*j**3 + 18*j**2 + 24*j.
3*j*(j + 2)*(j + 4)
Factor -16*u**3/7 - 58*u**2/7 - 40*u/7 + 24/7.
-2*(u + 2)**2*(8*u - 3)/7
Solve -3*a**4 + 21*a**3 - 15*a**2 - 21*a + 18 = 0.
-1, 1, 6
Factor 2*r**3 - 14*r**2/3 - 14*r/3 + 2.
2*(r - 3)*(r + 1)*(3*r - 1)/3
Factor -f**2/3 - 5*f/3 + 14/3.
-(f - 2)*(f + 7)/3
What is q in -4*q**4/7 - 972*q**3/7 - 58560*q**2/7 + 59536*q/7 = 0?
-122, 0, 1
Factor -2*g**5/3 + 568*g**4/3 - 40892*g**3/3 + 26696*g**2 - 13254*g.
-2*g*(g - 141)**2*(g - 1)**2/3
Factor -2*g**2/7 + 470*g/7 - 2748/7.
-2*(g - 229)*(g - 6)/7
Determine c so that 3*c**3 + 375*c**2 - 378*c = 0.
-126, 0, 1
Let -2*g**3 - 100*g**2 - 194*g - 96 = 0. Calculate g.
-48, -1
Factor -3*a**2 - 483*a.
-3*a*(a + 161)
Find v such that 2*v**5/13 - 84*v**4/13 + 154*v**3/13 + 248*v**2/13 - 24*v - 320/13 = 0.
-1, 2, 40
Determine f so that -10*f**4/17 + 116*f**3/17 - 122*f**2/17 - 368*f/17 - 120/17 = 0.
-1, -2/5, 3, 10
Factor 7*d**3/6 - 6*d**2 + 10*d - 16/3.
(d - 2)**2*(7*d - 8)/6
Determine o, given that -5*o**2 - 16715*o + 16720 = 0.
-3344, 1
Factor 5*p**2 + 7465*p.
5*p*(p + 1493)
Determine s so that -4*s**5/3 + 40*s**4/3 + 40*s**3/3 - 880*s**2/3 - 140*s + 1176 = 0.
-3, 2, 7
Factor -4*a**5 - 24*a**4 - 36*a**3.
-4*a**3*(a + 3)**2
Factor -6*w**3 - 103*w**2/2 + 115*w/2.
-w*(w - 1)*(12*w + 115)/2
Determine u, given that -u**2/4 + 25*u - 291/4 = 0.
3, 97
Solve 3*z**2/5 - 3*z/5 - 6/5 = 0.
-1, 2
Factor 4*g**3 + 144*g**2 + 116*g - 840.
4*(g - 2)*(g + 3)*(g + 35)
Suppose -4*h**3/5 + 152*h**2 - 8588*h/5 + 7832/5 = 0. What is h?
1, 11, 178
Suppose 4*s**3/9 + 80*s**2/3 - 28*s - 488/9 = 0. What is s?
-61, -1, 2
Factor 5*n**2 + 55*n - 130.
5*(n - 2)*(n + 13)
Factor d**4/6 + 11*d**3/2 - 37*d**2 + 230*d/3 - 52.
(d - 2)**3*(d + 39)/6
What is h in -4*h**3/7 + 8*h**2/7 + 12*h/7 = 0?
-1, 0, 3
Factor -3*l**5 + 3*l**4 + 24*l**3 - 36*l**2.
-3*l**2*(l - 2)**2*(l + 3)
Determine w, given that 3*w**4 + 180*w**3 + 1449*w**2 + 3720*w + 2448 = 0.
-51, -4, -1
Suppose -5*a**2/6 - 775*a/6 = 0. What is a?
-155, 0
What is j in 3*j**3 - 135*j**2 + 936*j + 14196 = 0?
-7, 26
Let 2*l**2/7 + 6*l - 92/7 = 0. What is l?
-23, 2
Factor v**2/6 - 5*v/2 + 7/3.
(v - 14)*(v - 1)/6
Factor -2*b**2 + 22*b + 52.
-2*(b - 13)*(b + 2)
Factor 34*n**2 - 494*n + 460.
2*(n - 1)*(17*n - 230)
Find x such that -x**5/4 + x**4 + 67*x**3/4 + 55*x**2/2 = 0.
-5, -2, 0, 11
Find d, given that 2*d**2 - 40*d/11 - 8/11 = 0.
-2/11, 2
Suppose -m**3/6 - 5*m**2/6 + 4*m/3 + 2 = 0. Calculate m.
-6, -1, 2
Determine k so that 2*k**3/11 - 160*k**2/11 + 14*k + 316/11 = 0.
-1, 2, 79
Factor -42*c**4 + 886*c**3 - 6258*c**2 + 14994*c - 1372.
-2*(c - 7)**3*(21*c - 2)
Determine i so that -5*i**2 - 69310*i - 240193805 = 0.
-6931
Factor 18*m**3 + 561*m**2 + 90*m - 93.
3*(m + 31)*(2*m + 1)*(3*m - 1)
Determine z so that z**4 + z**3 - 19*z**2 - 49*z - 30 = 0.
-3, -2, -1, 5
Suppose 12*r**5/5 + 16*r**4 + 156*r**3/5 + 24*r**2 + 32*r/5 = 0. What is r?
-4, -1, -2/3, 0
What is l in 75*l**4 + 1310*l**3 + 1785*l**2 + 390*l - 160 = 0?
-16, -1, -2/3, 1/5
Factor q**4/6 + 20*q**3/3 + 211*q**2/3 + 364*q/3 + 115/2.
(q + 1)**2*(q + 15)*(q + 23)/6
Factor 4*i**2 + 52*i + 160.
4*(i + 5)*(i + 8)
Solve -2*q**2 + 2012*q - 506018 = 0.
503
Factor 2*r**3 - 102*r**2 + 384*r - 376.
2*(r - 47)*(r - 2)**2
Solve -4*h**5/7 + 20*h**4/7 - 12*h**3/7 - 36*h**2/7 = 0.
-1, 0, 3
What is l in -3*l**3/7 + 24*l**2/7 - 39*l/7 + 18/7 = 0?
1, 6
What is b in -45*b**5/2 - 1305*b**4 + 2670*b**3 - 5380*b**2/3 + 400*b = 0?
-60, 0, 2/3
Find l, given that -2*l**2 + 992*l - 1976 = 0.
2, 494
Solve 5*p**4 + 15*p**3 + 10*p**2 = 0.
-2, -1, 0
Factor 15*c**3/2 + 763*c**2/2 - 441*c + 52.
(c - 1)*(c + 52)*(15*c - 2)/2
Factor -2*h**2/5 + 74*h/5 + 156/5.
-2*(h - 39)*(h + 2)/5
Suppose 200*t**5 + 60*t**4 - 1191*t**3/2 - 580*t**2 - 267*t/2 - 9 = 0. Calculate t.
-1, -3/20, 2
Let -c**2 - 51*c - 270 = 0. Calculate c.
-45, -6
Find u such that -3*u**3 - 7263*u**2 = 0.
-2421, 0
Factor 2*q**3 - 34*q**2 + 118*q + 154.
2*(q - 11)*(q - 7)*(q + 1)
Factor -5*x**3 - 1525*x**2 + 1530*x.
-5*x*(x - 1)*(x + 306)
Factor 2*s**5/5 - 6*s**4/5 + 4*s**3/5 + 4*s**2/5 - 6*s/5 + 2/5.
2*(s - 1)**4*(s + 1)/5
Solve -z**5/4 + 2*z**4 - 4*z**3 + z**2/2 + 17*z/4 - 5/2 = 0 for z.
-1, 1, 2, 5
Find w, given that 6*w**5/7 + 453*w**4/7 + 8433*w**3/7 - 4560*w**2/7 - 4332*w/7 = 0.
-38, -1/2, 0, 1
Factor -18*m**4/7 - 3352*m**3/7 - 744*m**2/7.
-2*m**2*(m + 186)*(9*m + 2)/7
Factor -z**5/2 - 41*z**4 - 2185*z**3/2 - 8666*z**2 + 20776*z - 10976.
-(z - 1)**2*(z + 28)**3/2
Suppose -r**2/7 + 1706*r - 5093263 = 0. Calculate r.
5971
Factor -2*q**3/3 - 40*q**2/3 + 296*q/3 - 416/3.
-2*(q - 4)*(q - 2)*(q + 26)/3
Determine z, given that -15*z**5 - 21*z**4 + 39*z**3 + 33*z**2 - 24*z - 12 = 0.
-2, -1, -2/5, 1
Determine v, given that 2*v**2 - 288*v + 846 = 0.
3, 141
Factor -2*x**4/3 - 26*x**3/3 - 28*x**2.
-2*x**2*(x + 6)*(x + 7)/3
Find u, given that -2*u**3 + 6*u**2 + 8*u = 0.
-1, 0, 4
Factor 2*j**4/3 - 140*j**3/3 - 286*j**2/3 - 48*j.
2*j*(j - 72)*(j + 1)**2/3
Solve -55778*b**4/15 + 74816*b**3/5 - 228464*b**2/15 + 1792*b/5 - 32/15 = 0.
2/167, 2
Factor -4*s**2 - 52*s - 48.
-4*(s + 1)*(s + 12)
Determine u, given that -3*u**4/2 - 16*u**3 + 49*u**2/2 + 5*u - 12 = 0.
-12, -2/3, 1
Suppose 6*m**4 - 40*m**3 + 54*m**2 - 20*m = 0. What is m?
0, 2/3, 1, 5
Factor 6*n**3/5 + 4*n**2/5 - 6*n/5 - 4/5.
2*(n - 1)*(n + 1)*(3*n + 2)/5
Factor -16*m**3/5 + 193*m**2/5 - 12*m/5.
-m*(m - 12)*(16*m - 1)/5
Factor -20*n**2 - 134*n + 42.
-2*(n + 7)*(10*n - 3)
Let -3*s**3 - 15*s**2 - 21*s - 9 = 0. Calculate s.
-3, -1
Factor -4*s**3 + 8*s**2 + 260*s + 600.
-4*(s - 10)*(s + 3)*(s + 5)
Solve 5*p**3/8 - 3*p**2/2 - 59*p/8 - 15/4 = 0.
-2, -3/5, 5
What is o in -4*o**2 + 60*o + 1000 = 0?
-10, 25
Factor -4*g**4 + 21*g**2 + 10*g.
-g*(g + 2)*(2*g - 5)*(2*g + 1)
Factor 3*g**4 + 12*g**3.
3*g**3*(g + 4)
Determine g so that -g**3/9 + 139*g**2/9 + g/9 - 139/9 = 0.
-1, 1, 139
Suppose 150*y**3 - 185*y**2 - 40*y + 75 = 0. What is y?
-3/5, 5/6, 1
Factor -26*o**3/7 + 496*o**2/7 - 38*o/7.
-2*o*(o - 19)*(13*o - 1)/7
Factor k**5 + 9*k**4 + 22*k**3 - 32*k.
k*(k - 1)*(k + 2)*(k + 4)**2
Solve -15625*q**4 + 1621250*q**3 + 389700*q**2 + 31192*q + 832 = 0.
-2/25, 104
Factor 2*c**4/5 - 236*c**3/5 + 1482*c**2 - 25992*c/5.
2*c*(c - 57)**2*(c - 4)/5
Solve -y**2/11 - 184*y/11 + 51 = 0 for y.
-187, 3
Solve -k**3/2 + 6*k**2 + 13*k/2 = 0 for k.
-1, 0, 13
Solve 13*f**4/3 - 60*f**3 + 99*f**2 - 106*f/3 - 8 = 0.
-2/13, 1, 12
Factor 4*h**2 - 132*h + 728.
4*(h - 26)*(h - 7)
Factor -3*s**3 + 60*s**2 + 3*s - 60.
-3*(s - 20)*(s - 1)*(s + 1)
Let -2*z**2 + 18*z + 224 = 0. What is z?
-7, 16
Factor -b**2 - 21*b - 20.
-(b + 1)*(b + 20)
Find u such that -u**5/3 - 4*u**4/3 - u**3 = 0.
-3, -1, 0
Determine y, given that -3*y**3/5 - 192*y**2 + 3*y/5 + 192 = 0.
-320, -1, 1
Factor -52*d**3 + 40*d**2 + 12*d.
-4*d*(d - 1)*(13*d + 3)
What is g in -3*g**2/4 - 99*g/2 = 0?
-66, 0
Let 2*y**5 + 20*y**4 + 32*y**3 - 76*y**2 - 34*y + 56 = 0. Calculate y.
-7, -4, -1, 1
Suppose 93*o**3 + 180*o**2 - 1407*o + 90 = 0. Calculate o.
-5, 2/31, 3
Factor -5*d**3 - 95*d**2 - 80*d + 180.
-5*(d - 1)*(d + 2)*(d + 18)
Let -3*c**4 + 72*c**3 - 198*c**2 + 192*c - 63 = 0. What is c?
1, 21
Determine c, given that 3*c**5 - 99*c**4 - 675*c**3 - 1065*c**2 + 432*c + 1404 = 0.
-3, -2, 1, 39