m/5 + 486/5.
-2*(m - 9)*(m + 27)/5
Solve 4*w**5 + 16*w**4 - 84*w**3 - 208*w**2 + 80*w + 192 = 0 for w.
-6, -2, -1, 1, 4
Factor -2*v**3/3 - 16*v**2/3 + 440*v/3 - 800/3.
-2*(v - 10)*(v - 2)*(v + 20)/3
Factor -4*w**3 + 312*w**2 + 988*w - 1296.
-4*(w - 81)*(w - 1)*(w + 4)
Suppose -b**3 - 146*b**2 + b + 146 = 0. What is b?
-146, -1, 1
Find c, given that 5*c**2 - 1810*c + 14160 = 0.
8, 354
Factor -2*a**2 - 6*a + 8.
-2*(a - 1)*(a + 4)
Find d such that -4*d**2 - 40*d - 64 = 0.
-8, -2
Factor 2*p**4 - 8*p**3 - 24*p**2 + 128*p - 128.
2*(p - 4)*(p - 2)**2*(p + 4)
Factor -w**3/2 - 13*w**2 - 111*w/2 - 63.
-(w + 2)*(w + 3)*(w + 21)/2
Factor -4*q**2 + 920*q - 52900.
-4*(q - 115)**2
What is d in d**4 + 9*d**3 + 2*d**2 - 84*d + 72 = 0?
-6, 1, 2
Factor -5*o**4/3 + 13*o**3/3.
-o**3*(5*o - 13)/3
Let 5*n**3 - 10*n**2 - 45*n + 90 = 0. What is n?
-3, 2, 3
What is l in -2*l**5/9 - 8*l**4/9 + 8*l**3/9 + 44*l**2/9 - 2*l/3 - 4 = 0?
-3, -1, 1, 2
Determine j, given that -4*j**5/3 + 196*j**4/3 + 140*j**3 - 596*j**2/3 - 832*j/3 + 272 = 0.
-2, 1, 51
Find s, given that 175*s**5 + 60*s**4 - 107*s**3 + 12*s**2 + 4*s = 0.
-1, -1/7, 0, 2/5
Let -20*r**2 + 296*r + 60 = 0. Calculate r.
-1/5, 15
Factor -2*k**2/3 - 286*k/3 - 804.
-2*(k + 9)*(k + 134)/3
Factor 5*z**2 + 29*z + 20.
(z + 5)*(5*z + 4)
Factor h**4 + 408*h**3 + 35046*h**2 - 1340280*h + 10791225.
(h - 15)**2*(h + 219)**2
Let 3*o**2/2 + 3*o/2 - 18 = 0. What is o?
-4, 3
Let -3*k**2/4 - 33*k/4 - 15/2 = 0. Calculate k.
-10, -1
Solve 4*s**4 - 4792*s**3 + 1425588*s**2 + 5759984*s + 5779216 = 0 for s.
-2, 601
Solve -2*c**5/3 - 4*c**4 - 16*c**3/3 + 4*c**2/3 + 6*c + 8/3 = 0.
-4, -1, 1
Let 2*r**2/3 - 1000*r/3 + 125000/3 = 0. What is r?
250
Solve -2*f**2/3 - 352*f/3 - 350/3 = 0.
-175, -1
Factor 3*x**2 - 27*x - 66.
3*(x - 11)*(x + 2)
Factor 289*x**3/6 - 357*x**2/2 + 108*x - 18.
(x - 3)*(17*x - 6)**2/6
Find j such that -5*j**2 + 435*j + 440 = 0.
-1, 88
What is l in 21*l**3 + 15*l**2 - 6*l = 0?
-1, 0, 2/7
Factor 54*j**2/5 - 114*j/5 + 12.
6*(j - 1)*(9*j - 10)/5
Factor -2*u**4/9 + 14*u**2/9 - 4*u/3.
-2*u*(u - 2)*(u - 1)*(u + 3)/9
Factor 2*j**2/7 + 44*j/7 + 80/7.
2*(j + 2)*(j + 20)/7
What is m in 5*m**3 + 28380*m**2 + 53694960*m + 33863621440 = 0?
-1892
Suppose -5*b**3 - 535*b**2 - 1050*b = 0. Calculate b.
-105, -2, 0
Factor j**2/4 - 96*j + 9216.
(j - 192)**2/4
Factor 5*i**3 - 90*i**2 - 5*i + 90.
5*(i - 18)*(i - 1)*(i + 1)
Factor -l**3/2 + l**2 + 21*l/2 + 9.
-(l - 6)*(l + 1)*(l + 3)/2
Suppose d**4 - 181*d**3 - 183*d**2 + 181*d + 182 = 0. What is d?
-1, 1, 182
Factor p**2 - 1944*p + 944784.
(p - 972)**2
Solve -f**3/8 - 37*f**2/8 + 105*f/4 = 0 for f.
-42, 0, 5
Determine t so that 2*t**5/5 - 134*t**4/5 + 2308*t**3/5 - 2044*t**2/5 - 462*t + 2178/5 = 0.
-1, 1, 33
Factor 5*c**2 - 2460*c + 302580.
5*(c - 246)**2
Determine w so that w**4 - 6*w**3 + 4*w**2 + 24*w - 32 = 0.
-2, 2, 4
Suppose -j**2 + 34*j - 33 = 0. What is j?
1, 33
Suppose -5*n**2/4 + 170*n - 2400 = 0. Calculate n.
16, 120
Determine n so that 4*n**2 - 492*n - 496 = 0.
-1, 124
Let 25*d**3 + 5*d**2 - 180*d - 180 = 0. Calculate d.
-2, -6/5, 3
Factor -11*m**5/4 + 149*m**4/4 + 513*m**3/4 + 535*m**2/4 + 91*m/2.
-m*(m + 1)**3*(11*m - 182)/4
Let -3*k**2/2 - 21*k/2 + 12 = 0. What is k?
-8, 1
Factor -2*j**3 - 82*j**2 + 88*j + 168.
-2*(j - 2)*(j + 1)*(j + 42)
Determine r, given that 146*r**4 - 2*r**3 - 146*r**2 + 2*r = 0.
-1, 0, 1/73, 1
Solve -o**5 - 30*o**4 + 31*o**3 = 0.
-31, 0, 1
Factor -q**2/2 + 93*q/2 + 47.
-(q - 94)*(q + 1)/2
Find s, given that 2*s**3/7 - 220*s**2/7 + 6466*s/7 - 22472/7 = 0.
4, 53
Factor 54*m**3 + 5160*m**2 - 6904*m/3 + 256.
2*(m + 96)*(9*m - 2)**2/3
Factor -q**4/6 - 101*q**3/6 - 2497*q**2/6 + 935*q/2 + 867.
-(q - 2)*(q + 1)*(q + 51)**2/6
Factor -5*k**4 - 10*k**3 + 15*k**2 + 20*k - 20.
-5*(k - 1)**2*(k + 2)**2
Suppose 25*o**2 + 13660*o + 5460 = 0. What is o?
-546, -2/5
Factor n**3 - 348*n**2 + 40368*n - 1560896.
(n - 116)**3
What is n in -3*n**2/5 + 9*n/5 - 6/5 = 0?
1, 2
Determine o, given that 3*o**2 + 33*o = 0.
-11, 0
Factor -8*d**2/13 + 150*d/13 - 108/13.
-2*(d - 18)*(4*d - 3)/13
Factor -3*w**2 - 9150*w - 9147.
-3*(w + 1)*(w + 3049)
Determine n, given that 3*n**2/2 - 84*n + 1176 = 0.
28
Let -28*w**5/5 - 214*w**4/5 - 366*w**3/5 + 176*w**2/5 + 32*w/5 = 0. Calculate w.
-4, -1/7, 0, 1/2
Factor 3*f**5 - 150*f**4 + 1548*f**3 + 21546*f**2 - 313551*f - 333396.
3*(f - 21)**3*(f + 1)*(f + 12)
Find h such that 2*h**2/7 - 6*h = 0.
0, 21
Factor -2*r**2 + 1514*r + 3036.
-2*(r - 759)*(r + 2)
Let -d**5/2 + 7*d**4/2 + 11*d**3/2 - 19*d**2/2 - 19*d - 8 = 0. What is d?
-1, 2, 8
What is t in -5*t**2 - 110*t + 375 = 0?
-25, 3
Determine o, given that 2*o**4/21 + 372*o**3/7 + 52632*o**2/7 + 617156*o/21 + 153458/7 = 0.
-277, -3, -1
Factor -5*g**4 + 60*g**2 + 80*g.
-5*g*(g - 4)*(g + 2)**2
Solve s**3/2 - 3*s**2 - 7*s/2 = 0 for s.
-1, 0, 7
Factor -3*b**2/2 + 507*b - 85683/2.
-3*(b - 169)**2/2
Let 5*h**5 + 20*h**4 + 5*h**3 - 30*h**2 = 0. What is h?
-3, -2, 0, 1
Factor -729*a**3 + 1566*a**2 - 220*a + 8.
-(a - 2)*(27*a - 2)**2
Find c such that 196*c**3/3 - 51520*c**2 + 29424*c - 12608/3 = 0.
2/7, 788
Factor m**3 + 19*m**2 - 413*m + 1617.
(m - 7)**2*(m + 33)
Determine l, given that -2*l**5/9 + 4*l**4/3 + 14*l**3 - 712*l**2/9 + 64*l = 0.
-8, 0, 1, 4, 9
Find y, given that y**4/10 - 23*y**3/10 + 41*y**2/10 + 23*y/10 - 21/5 = 0.
-1, 1, 2, 21
Find r, given that -2*r**4/5 - 118*r**3/5 - 10*r**2 + 3702*r/5 - 7308/5 = 0.
-58, -7, 3
Factor -l**4/2 + 7*l**3/2 - 7*l**2/2 - 15*l/2.
-l*(l - 5)*(l - 3)*(l + 1)/2
Let -4*g**2 - 11604*g = 0. What is g?
-2901, 0
Factor x**3/6 + 13*x**2/6 - 29*x/6 + 5/2.
(x - 1)**2*(x + 15)/6
Let 3*i**2/2 + 126*i = 0. Calculate i.
-84, 0
Factor 2*w**5 + 10*w**4 + 4*w**3 - 16*w**2.
2*w**2*(w - 1)*(w + 2)*(w + 4)
Factor -c**2 - 66*c - 1089.
-(c + 33)**2
Solve 2*v**4 + 402*v**3 - 2484*v**2 + 64*v + 13248 = 0 for v.
-207, -2, 4
Solve -g**2/5 + 387*g/5 + 388/5 = 0 for g.
-1, 388
Factor -f**2 + 231*f.
-f*(f - 231)
Suppose -2*g**3 - 428*g**2 - 15928*g - 164560 = 0. What is g?
-170, -22
Factor -r**4/3 + 47*r**3 - 1584*r**2 - 5184*r.
-r*(r - 72)**2*(r + 3)/3
Factor 2*j**2/19 - 220*j/19 + 6050/19.
2*(j - 55)**2/19
Find o, given that -3*o**3/5 + 39*o**2/5 - 24*o + 108/5 = 0.
2, 9
Factor -m**2/4 - 131*m/4 + 33.
-(m - 1)*(m + 132)/4
Factor -7*p**2 + 276*p + 283.
-(p + 1)*(7*p - 283)
Factor -4*u**3 - 116*u**2 + 1040*u + 1152.
-4*(u - 8)*(u + 1)*(u + 36)
Find z, given that 2*z**2/9 + 22*z/9 + 16/3 = 0.
-8, -3
Suppose 3*s**3/7 - 6*s**2/7 - 3*s/7 + 6/7 = 0. What is s?
-1, 1, 2
What is m in 2*m**4/7 + 106*m**3/21 - 134*m**2/7 + 374*m/21 - 4 = 0?
-21, 1/3, 1, 2
Suppose 10*v**5 + 45*v**4 - 580*v**3 - 300*v**2 = 0. What is v?
-10, -1/2, 0, 6
Solve -18*j**5/5 - 10*j**4 + 246*j**3/5 + 218*j**2/5 - 12*j = 0 for j.
-5, -1, 0, 2/9, 3
Determine x, given that 72*x**2/7 - 8040*x/7 + 224450/7 = 0.
335/6
Find v such that v**2/2 + v/2 = 0.
-1, 0
Find v such that v**3/2 + 3*v**2/2 - 9*v/2 - 27/2 = 0.
-3, 3
Let 2*x**5/13 - 4*x**4/13 - 32*x**3/13 + 28*x**2/13 + 126*x/13 + 72/13 = 0. What is x?
-3, -1, 3, 4
Solve 4*u**2 - 64*u + 256 = 0.
8
Factor c**2/6 - 140*c/3 - 2009/6.
(c - 287)*(c + 7)/6
Suppose -v**4/2 + 17*v**3/2 + 37*v**2/2 + 19*v/2 = 0. What is v?
-1, 0, 19
Factor -9*v**3 + 12*v**2 + 27*v - 30.
-3*(v - 2)*(v - 1)*(3*v + 5)
Solve -o**3/3 + 5*o**2/3 + o/3 - 5/3 = 0.
-1, 1, 5
Factor -2*z**2/9 + 32*z/3 + 200/9.
-2*(z - 50)*(z + 2)/9
Factor -2*v**4/9 + 20*v**3/9 + 2*v**2/3 - 280*v/9 - 392/9.
-2*(v - 7)**2*(v + 2)**2/9
Solve -60*r**3/11 + 186*r**2/11 - 6*r/11 - 36/11 = 0.
-2/5, 1/2, 3
Let m**2/6 - 10*m/3 + 6 = 0. What is m?
2, 18
Suppose 3*j**2/2 + 123*j/2 - 3348 = 0. Calculate j.
-72, 31
Find u such that 196*u**5/3 + 168*u**4 - 2896*u**3/3 - 8032*u**2/3 - 1280*u - 512/3 = 0.
-4, -2, -2/7, 4
Suppose -h**4 + 12*h**3 - 27*h**2 - 40*h = 0. What is h?
-1, 0, 5, 8
Factor 3*b**4 + 72*b**3 + 519*b**2 + 1494*b + 1512.
3*(b + 3)**2*(b + 4)*(b + 14)
Determine x so that -x**3/4 + 5*x**2/4 + x - 5 = 0.
-2, 2, 5
Factor 3*h**2 - 12*h - 15.
3*(h - 5)*(h + 1)
Determine s so that 55*s**2/6 - 475*s/6 - 30 = 0.
-4/11, 9
Suppose -5*c**5 + 5*c**4 + 130*c**3 + 120*c**2 = 0. What is c?
-4, -1, 0, 6
Factor -2*l**2 + 688*l + 1384.
-2*(l - 346)*(l + 2)
Determine z so that z**3/3 + 32*z**2/3 + 95*z + 150 = 0.
-15, -2
Factor i**4/2 - 5*i**3/2 + 