 22494*c**3 + 351594*c**2 - 772497*c + 397953.
3*(c - 1)**2*(c + 51)**3
Let -5*v**2 - 2845*v - 2840 = 0. Calculate v.
-568, -1
Solve 3*l**4/7 - 39*l**3/7 + 15*l**2 + 21*l = 0.
-1, 0, 7
Determine m so that 4*m**2 - 100*m - 896 = 0.
-7, 32
What is f in -2*f**5/9 - 508*f**4/3 - 98788*f**3/3 - 2305768*f**2/9 - 1998854*f/3 - 568516 = 0?
-377, -3, -2
Factor 2*d**2/21 - 8*d/21 - 2.
2*(d - 7)*(d + 3)/21
Factor 3*w**3 + 177*w**2.
3*w**2*(w + 59)
Factor m**3/6 - 7*m**2/3 + 10*m - 12.
(m - 6)**2*(m - 2)/6
Determine c, given that 4*c**5 - 144*c**4 + 1680*c**3 - 7424*c**2 + 9216*c = 0.
0, 2, 8, 18
Solve x**5/2 - 4*x**4/3 - x**3/2 + 2*x**2 + 2*x/3 = 0.
-1, -1/3, 0, 2
Suppose -x**4/6 + 11*x**3/6 - 19*x**2/3 + 26*x/3 - 4 = 0. Calculate x.
1, 2, 6
Factor -3*m**3/4 - 21*m**2/2 - 33*m/4 + 39/2.
-3*(m - 1)*(m + 2)*(m + 13)/4
Suppose 10*u**4/3 + 225*u**3 + 110*u**2 - 335*u/3 = 0. Calculate u.
-67, -1, 0, 1/2
Factor 15*h**4 + 24*h**3 - 6*h**2 - 24*h - 9.
3*(h - 1)*(h + 1)**2*(5*h + 3)
Suppose j**3/8 + 7*j**2/4 - j/8 - 7/4 = 0. What is j?
-14, -1, 1
Solve 2*v**4 + 450*v**3 + 2216*v**2 + 3528*v + 1760 = 0 for v.
-220, -2, -1
Factor -2*v**2/9 + 50/9.
-2*(v - 5)*(v + 5)/9
Suppose t**5 - 4*t**4 - 5*t**3 + 20*t**2 + 4*t - 16 = 0. What is t?
-2, -1, 1, 2, 4
Determine l, given that 20*l**5 + 60*l**4 + 65*l**3 + 30*l**2 + 5*l = 0.
-1, -1/2, 0
Factor 4*p**3 - 12*p**2 - 144*p - 128.
4*(p - 8)*(p + 1)*(p + 4)
Solve 3*d**2 + 3*d/4 - 27/2 = 0.
-9/4, 2
What is i in 6*i**5 + 97*i**4/2 + 136*i**3 + 155*i**2 + 66*i + 9/2 = 0?
-3, -1, -1/12
Factor -y**3/4 - 73*y**2/4 + 113*y/2 - 38.
-(y - 2)*(y - 1)*(y + 76)/4
Let -2*g**4 - 75*g**3 + 285*g**2 - 85*g - 123 = 0. What is g?
-41, -1/2, 1, 3
Determine t, given that -t**4 - 110*t**3 - 109*t**2 = 0.
-109, -1, 0
Suppose w**2/2 - 65*w/2 + 63 = 0. What is w?
2, 63
Factor 3*k**3/7 + 18*k**2/7 + 15*k/7.
3*k*(k + 1)*(k + 5)/7
Factor 4*f**4 - 4*f**3 - 24*f**2.
4*f**2*(f - 3)*(f + 2)
Find y, given that -4*y**2 - 636*y = 0.
-159, 0
Determine c, given that c**3 - 68*c**2 - c + 68 = 0.
-1, 1, 68
Factor u**5/7 - 17*u**4/7 + 93*u**3/7 - 25*u**2 + 14*u.
u*(u - 7)**2*(u - 2)*(u - 1)/7
Factor v**2/2 - 203*v/2 - 414.
(v - 207)*(v + 4)/2
Let -4*y**3 + 112*y**2 - 548*y + 440 = 0. Calculate y.
1, 5, 22
Determine m so that -m**5 + 43*m**4 - 222*m**3 - 5332*m**2 - 10712*m + 16224 = 0.
-6, -4, 1, 26
Factor 2*c**2/9 + 1444*c/9 + 260642/9.
2*(c + 361)**2/9
Factor 21*t**3 - 69978*t**2 + 89943*t - 19986.
3*(t - 3331)*(t - 1)*(7*t - 2)
Factor -12*t**3 + 608*t**2 + 828*t + 208.
-4*(t - 52)*(t + 1)*(3*t + 1)
Let -2*t**2/5 + 68*t/5 - 578/5 = 0. Calculate t.
17
Suppose -21*l**3 + 96*l**2 - 111*l + 36 = 0. What is l?
4/7, 1, 3
Factor 4*x**2/3 + 1600*x/3 + 160000/3.
4*(x + 200)**2/3
Factor -3*n**4 - 9*n**3 + 102*n**2 - 144*n.
-3*n*(n - 3)*(n - 2)*(n + 8)
Factor 2*q**3/9 + 134*q**2/9 + 770*q/3 + 242.
2*(q + 1)*(q + 33)**2/9
Solve y**2/6 - 1198*y/3 + 717602/3 = 0.
1198
Factor 2*a**2/3 - 124*a + 5766.
2*(a - 93)**2/3
Factor -x**3/2 - 14*x**2 + 59*x/2 - 15.
-(x - 1)**2*(x + 30)/2
Factor -u**2/2 + 7175*u - 51480625/2.
-(u - 7175)**2/2
Factor -r**3/2 - 5*r**2/2 + 4*r + 6.
-(r - 2)*(r + 1)*(r + 6)/2
What is w in -4*w**2 + 813*w + 612 = 0?
-3/4, 204
Factor -2*f**2 + 34*f - 120.
-2*(f - 12)*(f - 5)
Let 14*k**4 - 102*k**3 + 28*k**2 = 0. Calculate k.
0, 2/7, 7
Solve 8*x**5/7 - 9*x**4 + 48*x**3/7 + x**2 = 0 for x.
-1/8, 0, 1, 7
Factor 192*q**2 - 201*q + 9.
3*(q - 1)*(64*q - 3)
Factor 4*u**3 + 68*u**2 + 352*u + 576.
4*(u + 4)**2*(u + 9)
Find x such that 2*x**2/5 - 60*x - 302/5 = 0.
-1, 151
Factor w**4/2 - 67*w**3/2 - 137*w**2/2 - 69*w/2.
w*(w - 69)*(w + 1)**2/2
Factor -5*f**2 + 5*f + 150.
-5*(f - 6)*(f + 5)
Suppose -2*n**5/11 + 14*n**3/11 + 12*n**2/11 = 0. What is n?
-2, -1, 0, 3
Solve v**4/4 + 16*v**3 + 353*v**2/4 + 145*v/2 = 0.
-58, -5, -1, 0
Factor -j**4 + 44*j**2 + 144*j + 128.
-(j - 8)*(j + 2)**2*(j + 4)
Factor -2*y**4 - 8*y**3 + 6*y**2 + 36*y.
-2*y*(y - 2)*(y + 3)**2
Let 2*u**3/3 - 22*u**2/3 + 38*u/3 - 6 = 0. What is u?
1, 9
Find q, given that -2*q**3/3 + 80*q**2/3 + 2*q/3 - 80/3 = 0.
-1, 1, 40
Let -3*o**2/5 - 948*o/5 + 1908/5 = 0. Calculate o.
-318, 2
Find h, given that 2*h**4 - 64*h**3 - 526*h**2 - 780*h = 0.
-5, -2, 0, 39
Factor -2*o**3/5 + 18*o**2/5 - 16*o/5.
-2*o*(o - 8)*(o - 1)/5
Find u such that -2*u**3/13 - 1552*u**2/13 - 301088*u/13 = 0.
-388, 0
Let -5*w**5/2 + 22*w**4/3 - 6*w**3 - w**2 + 19*w/6 - 1 = 0. What is w?
-2/3, 3/5, 1
Factor 4*a**4 - 208*a**3 + 1152*a**2 - 2240*a + 1472.
4*(a - 46)*(a - 2)**3
What is u in 4*u**2/3 + 4*u - 40/3 = 0?
-5, 2
Factor 2*p**3/3 - 14*p**2/3 - 36*p - 48.
2*(p - 12)*(p + 2)*(p + 3)/3
Let b**3/3 + 8*b**2/3 + 19*b/3 + 4 = 0. Calculate b.
-4, -3, -1
Solve 6*n**3/11 + 18*n**2/11 - 6*n/11 - 18/11 = 0.
-3, -1, 1
Suppose -80*a**5 + 680*a**4 - 2005*a**3 + 2320*a**2 - 825*a + 90 = 0. Calculate a.
1/4, 2, 3
Factor 2*z**4/3 + 8*z**3.
2*z**3*(z + 12)/3
Factor -3*i**4 - 90*i**3 + 891*i**2 - 798*i.
-3*i*(i - 7)*(i - 1)*(i + 38)
Factor 5*d**4 + 70*d**3 - 15*d**2 - 200*d + 140.
5*(d - 1)**2*(d + 2)*(d + 14)
Factor p**4/5 + 139*p**3/5 + 55*p**2 + 137*p/5.
p*(p + 1)**2*(p + 137)/5
Factor 2*v**3/11 - 74*v**2/11 + 68*v/11 + 144/11.
2*(v - 36)*(v - 2)*(v + 1)/11
Factor 2*l**4/3 + 44*l**3/3 - 202*l**2/3 + 52*l.
2*l*(l - 3)*(l - 1)*(l + 26)/3
Find j such that -j**2 - 21*j - 20 = 0.
-20, -1
Solve -81*w**5 + 234*w**4 - 79*w**3 - 202*w**2 + 160*w - 32 = 0.
-1, 4/9, 1, 2
Find g, given that -g**4/5 - 69*g**3/5 - 216*g**2 + 3888*g/5 = 0.
-36, 0, 3
Solve -925*f**4/2 + 5945*f**3 - 4834*f**2 + 1132*f - 48 = 0.
2/37, 2/5, 12
Factor 22*x**2/7 + 68*x/7 + 48/7.
2*(x + 2)*(11*x + 12)/7
Solve 4*k**5/3 - 48*k**4 + 980*k**3/3 - 808*k**2 + 672*k = 0 for k.
0, 2, 3, 28
Solve -5*n**3 + 340*n**2 + 355*n - 690 = 0 for n.
-2, 1, 69
What is x in -4*x**3 - 24*x**2 + 244*x + 264 = 0?
-11, -1, 6
Determine w, given that -5*w**4 + 15*w**3 + 75*w**2 - 95*w - 150 = 0.
-3, -1, 2, 5
Factor -2*u**3/15 - 2*u**2/5 + 4*u/3.
-2*u*(u - 2)*(u + 5)/15
Find x, given that 2*x**5/11 + 28*x**4/11 + 72*x**3/11 - 388*x**2/11 - 1610*x/11 - 1176/11 = 0.
-7, -3, -1, 4
Suppose -24*w**5 - 388*w**4 - 1124*w**3 + 4028*w**2 + 1548*w - 3240 = 0. What is w?
-9, -1, 5/6, 2
Factor -q**2 - 15*q.
-q*(q + 15)
Determine h, given that 2*h**2/3 + 1444*h/3 - 2896/3 = 0.
-724, 2
Solve -3*j**3 + 15*j**2 + 12*j - 60 = 0 for j.
-2, 2, 5
What is o in 2*o**4/11 + 40*o**3/11 + 14*o**2 - 44*o = 0?
-11, 0, 2
Solve -2*n**4/7 + 150*n**3/7 - 438*n**2/7 + 62*n - 144/7 = 0 for n.
1, 72
Let -h**3/2 + 26*h**2 - 621*h/2 - 729 = 0. What is h?
-2, 27
Solve 2*z**2/3 - 314*z/3 + 104 = 0.
1, 156
Suppose k**2/5 - 32*k/5 + 12 = 0. Calculate k.
2, 30
Suppose l**3 + 741*l**2 + 183027*l + 15069223 = 0. What is l?
-247
Suppose -5*x**3 - 35*x**2 + 50*x + 80 = 0. Calculate x.
-8, -1, 2
Factor 4*i**2 - 704*i + 30976.
4*(i - 88)**2
Factor 5*f**2 - 67010*f + 224517005.
5*(f - 6701)**2
Factor -2209*s**3/2 - 47*s**2 - s/2.
-s*(47*s + 1)**2/2
Determine y so that -9*y**2/4 + 165*y/2 - 54 = 0.
2/3, 36
Suppose 3*u**5 + 333*u**4 - 690*u**3 - 1332*u**2 + 2712*u = 0. Calculate u.
-113, -2, 0, 2
What is p in -4*p**4 + 184*p**3 - 172*p**2 - 360*p = 0?
-1, 0, 2, 45
Factor a**2 - 158*a + 6241.
(a - 79)**2
Factor 3*w**5 + 318*w**4 + 10638*w**3 + 88356*w**2 - 833721*w - 911754.
3*(w - 6)*(w + 1)*(w + 37)**3
Suppose 28*w**3 + 328*w**2 + 800*w - 256 = 0. Calculate w.
-8, -4, 2/7
Suppose -10*k**2/7 + 634*k/7 + 384/7 = 0. What is k?
-3/5, 64
Find r such that r**2/6 - 163*r/3 + 26569/6 = 0.
163
Factor p**4/3 - 38*p**3/3 + 136*p**2 - 1498*p/3 + 1127/3.
(p - 23)*(p - 7)**2*(p - 1)/3
Let -8*j**4/5 + 276*j**3/5 + 444*j**2/5 - 424*j/5 - 288/5 = 0. What is j?
-2, -1/2, 1, 36
Solve -3*i**5/4 - 9*i**4 + 183*i**3/4 - 39*i**2 - 45*i + 48 = 0 for i.
-16, -1, 1, 2
Factor 5*g**2/2 + 475*g + 45125/2.
5*(g + 95)**2/2
Factor -5*q**4 - 150*q**3 + 315*q**2 - 160*q.
-5*q*(q - 1)**2*(q + 32)
Factor -2*d**2/5 - 174*d/5 - 68.
-2*(d + 2)*(d + 85)/5
Factor 4*b**3 - 76*b**2.
4*b**2*(b - 19)
Suppose -3*w**4/2 - 30*w**3 - 33*w**2 + 1170*w - 4563/2 = 0. What is w?
-13, 3
Factor -2*j**2/17 - 202*j/17 - 1656/17.
-2*(j + 9)*(j + 92)/17
Suppose 2*n**5 - 16*n**4 - 98*n**3 + 16*n**2 + 96*n = 0. Calculate n.
-4, -1, 0, 1, 12
Suppose -2*j**4 - 48*j**3 + 104*j**2 = 0. Calculate j.
-26, 0, 2
Suppose n**2/4 - 80