*v**3 - 3816*v**2 - 4935*v - 1098 = 0. What is v?
-1, -2/7, 183
Factor t**4/3 - 4*t**3 - 59*t**2/3 - 26*t - 32/3.
(t - 16)*(t + 1)**2*(t + 2)/3
Solve -2*a**5/7 - 4*a**4/7 + 54*a**3/7 - 104*a**2/7 + 8*a = 0 for a.
-7, 0, 1, 2
Find f, given that -2*f**5/11 + 52*f**4/11 + 54*f**3/11 = 0.
-1, 0, 27
Find a such that 2*a**5 - 28*a**4 - 214*a**3 - 496*a**2 - 472*a - 160 = 0.
-2, -1, 20
Suppose -4*q**2/9 + 28*q/3 - 152/9 = 0. Calculate q.
2, 19
Find f such that -9*f**4 + 426*f**3 - 537*f**2 - 696*f + 276 = 0.
-1, 1/3, 2, 46
Find p, given that -55*p**3 + 225*p**2 - 20*p = 0.
0, 1/11, 4
Solve -8*c**5 - 4*c**4 + 48*c**3 - 40*c**2 - 8*c + 12 = 0 for c.
-3, -1/2, 1
Let 8*f**4/5 + 2*f**3 - 462*f**2/5 - 1012*f/5 - 224/5 = 0. What is f?
-7, -2, -1/4, 8
Determine n, given that -5*n**4/2 + 16*n**3 + 63*n**2/2 + 5*n - 8 = 0.
-1, 2/5, 8
Factor -4*h**2/9 - 38*h/9 - 2.
-2*(h + 9)*(2*h + 1)/9
Let 2*l**2/7 + 1574*l/7 - 4740/7 = 0. What is l?
-790, 3
Suppose k**5/5 - 3*k**4/5 + 2*k**3/5 + 2*k**2/5 - 3*k/5 + 1/5 = 0. What is k?
-1, 1
Suppose 28*i**3 - 1800*i**2 - 1308*i + 520 = 0. Calculate i.
-1, 2/7, 65
Find r such that 2*r**2 + 606*r - 608 = 0.
-304, 1
Determine f so that -48*f**2/5 + 15548*f/5 + 1296/5 = 0.
-1/12, 324
Find r such that r**3/6 + 7*r**2/6 + 5*r/2 + 3/2 = 0.
-3, -1
Let -s**2/3 + 10*s/3 + 551/3 = 0. What is s?
-19, 29
Determine q, given that q**5/3 - 2*q**4 + 8*q**3/3 + 2*q**2 - 3*q = 0.
-1, 0, 1, 3
Factor -k**3 + 14*k**2 - 13*k.
-k*(k - 13)*(k - 1)
Factor -a**4/2 - 3*a**3 + 3*a**2/2 + 8*a - 6.
-(a - 1)**2*(a + 2)*(a + 6)/2
Let -4*h**4 - 200*h**3 - 3444*h**2 - 22320*h - 32400 = 0. Calculate h.
-18, -15, -2
Factor z**4/10 - 7*z**3/10 - 8*z**2 + 288*z/5.
z*(z - 8)**2*(z + 9)/10
Factor -2*t**2 + 94*t.
-2*t*(t - 47)
What is l in -2*l**3/3 - 6*l**2 - 28*l/3 = 0?
-7, -2, 0
Let 3*h**4 + 6*h**3 - 27*h**2 - 6*h + 24 = 0. Calculate h.
-4, -1, 1, 2
Factor -75*f**4 - 77*f**3 + 73*f**2 + 77*f + 2.
-(f - 1)*(f + 1)**2*(75*f + 2)
Suppose -5*u**4/3 + 30*u**3 - 85*u**2/3 = 0. Calculate u.
0, 1, 17
Factor -7*q**2/3 + 1354*q/3 - 193.
-(q - 193)*(7*q - 3)/3
Suppose -484*c**5/3 + 2079*c**4 - 22940*c**3/3 + 14243*c**2/3 + 7808*c - 20480/3 = 0. What is c?
-1, 1, 5/4, 64/11
Factor -316*d**2 - 324*d - 8.
-4*(d + 1)*(79*d + 2)
Let 2*b**2/15 - 24*b + 1080 = 0. What is b?
90
Factor 5*h**4 + 4810*h**3 + 1166385*h**2 + 4607980*h + 4588820.
5*(h + 2)**2*(h + 479)**2
Let t**2/6 - t - 20/3 = 0. Calculate t.
-4, 10
Factor k**5/2 - k**4/2 - k**3/2 + k**2/2.
k**2*(k - 1)**2*(k + 1)/2
Find d such that d**3/3 - 565*d**2 + 319225*d - 180362125/3 = 0.
565
What is f in 39*f**3 + 48*f**2 = 0?
-16/13, 0
Solve -2*w**4 - 168*w**3 - 3356*w**2 + 7224*w - 3698 = 0.
-43, 1
Factor -2*q**2/9 + 3388*q/9 - 1434818/9.
-2*(q - 847)**2/9
Suppose -3*m**2/4 - 4083*m - 5556963 = 0. Calculate m.
-2722
Let 2*v**2/5 + 662*v/5 - 664/5 = 0. Calculate v.
-332, 1
Factor 50*i**5/11 + 10*i**4/11 - 42*i**3/11 - 18*i**2/11.
2*i**2*(i - 1)*(5*i + 3)**2/11
Factor b**2/12 + 1411*b/3 + 1990921/3.
(b + 2822)**2/12
Find w such that 2*w**5/3 - 10*w**4 + 52*w**3 - 356*w**2/3 + 118*w - 42 = 0.
1, 3, 7
Suppose u**5/8 + 9*u**4/8 + 9*u**3/4 = 0. What is u?
-6, -3, 0
Factor g**2/2 - 154*g - 309/2.
(g - 309)*(g + 1)/2
Factor 2*r**2 + 50*r.
2*r*(r + 25)
Find q such that q**5/8 - 23*q**4/4 + 11*q**3/2 + 23*q**2/4 - 45*q/8 = 0.
-1, 0, 1, 45
Factor 4485*c**3 + 1465*c**2 - 10*c.
5*c*(3*c + 1)*(299*c - 2)
Determine m so that 5*m**5 + 478*m**4 - 2172*m**3 + 2792*m**2 - 800*m = 0.
-100, 0, 2/5, 2
What is j in -j**4/6 + 2*j**3 + 43*j**2/6 - 35*j = 0?
-5, 0, 3, 14
Solve -y**3/5 - 13*y**2/5 + y/5 + 13/5 = 0.
-13, -1, 1
Determine s, given that 3*s**3 - 39*s**2 + 168*s - 240 = 0.
4, 5
Factor -l**3/9 - 2*l**2/3 + 100*l - 1768/9.
-(l - 26)*(l - 2)*(l + 34)/9
Solve h**3 - 120*h**2 + 237*h - 118 = 0 for h.
1, 118
Find h such that 4*h**3 + 8836*h**2 + 4884096*h + 4875264 = 0.
-1104, -1
Factor -18*m**5 + 15*m**4 + 3*m**3.
-3*m**3*(m - 1)*(6*m + 1)
Let -64*k**5 + 224*k**4 - 164*k**3 - 152*k**2 + 228*k - 72 = 0. Calculate k.
-1, 3/4, 1, 2
Let f**2/2 + 204*f + 20808 = 0. What is f?
-204
Find a such that 2*a**3/17 + 300*a**2/17 + 15000*a/17 + 250000/17 = 0.
-50
Solve -4*q**2 + 28*q + 1040 = 0.
-13, 20
Let c**2/4 - 107*c/4 - 109/2 = 0. Calculate c.
-2, 109
Determine o, given that 3*o**3 + 171*o**2 - 732*o = 0.
-61, 0, 4
Factor -2*c**2/11 - 472*c/11 - 1398/11.
-2*(c + 3)*(c + 233)/11
Suppose 4*v**3 - 24*v**2 - 4*v + 120 = 0. What is v?
-2, 3, 5
Factor -3*m**3/4 + 35*m**2/2 - 89*m/4 + 11/2.
-(m - 22)*(m - 1)*(3*m - 1)/4
Find u, given that -16*u**4 + 446*u**3 - 2584*u**2 - 7530*u - 900 = 0.
-2, -1/8, 15
Find t, given that -3*t**2/7 - 60*t/7 + 288/7 = 0.
-24, 4
Determine n so that 2*n**3 + 82*n**2 + 880*n + 800 = 0.
-20, -1
Find j, given that -3*j**2 + 6*j - 3 = 0.
1
Find x such that -x**4/8 - x**3 - x**2 + 4*x + 6 = 0.
-6, -2, 2
Determine k so that k**2/3 - 28*k/3 + 196/3 = 0.
14
Suppose -5*v**2 + 32930*v - 54219245 = 0. What is v?
3293
Factor -o**2 - 2*o + 168.
-(o - 12)*(o + 14)
Factor 2*m**3/3 + 12*m**2 - 42*m.
2*m*(m - 3)*(m + 21)/3
Factor -5*q**3 - 2025*q**2 - 273375*q - 12301875.
-5*(q + 135)**3
Solve 112*z**2/3 - 122*z/3 + 10/3 = 0.
5/56, 1
Suppose -4*m**5/3 - 52*m**4/3 - 232*m**3/3 - 424*m**2/3 - 340*m/3 - 100/3 = 0. Calculate m.
-5, -1
Factor 5*j**2 - 3155*j.
5*j*(j - 631)
Let 3*h**5/2 + 9*h**4 + 27*h**3/2 + 6*h**2 = 0. What is h?
-4, -1, 0
Find r such that 3*r**3/7 - 12*r**2 + 225*r/7 = 0.
0, 3, 25
Solve 3*y**2 + 1536*y - 1539 = 0 for y.
-513, 1
Factor 3*m**3 + 9*m**2 + 9*m + 3.
3*(m + 1)**3
Factor 2*n**5/5 + 6*n**4/5 + 6*n**3/5 + 2*n**2/5.
2*n**2*(n + 1)**3/5
Suppose -t**3/4 - 257*t**2/4 - 4160*t - 4096 = 0. What is t?
-128, -1
Factor 16*b**4 + 36*b**3 + 8*b**2.
4*b**2*(b + 2)*(4*b + 1)
Suppose -3*w**4 - 159*w**3 - 1848*w**2 + 7056*w = 0. Calculate w.
-28, 0, 3
Factor -r**4 - 6*r**3 + 7*r**2.
-r**2*(r - 1)*(r + 7)
Determine y, given that 5*y**2 - 490*y + 12005 = 0.
49
Determine t so that t**3 - 300*t**2 + 30000*t - 1000000 = 0.
100
Factor -2*m**3/9 - 3104*m**2/3 - 4817408*m/3 - 7476617216/9.
-2*(m + 1552)**3/9
Solve -2*m**2/7 + 248*m/7 + 72 = 0 for m.
-2, 126
Suppose 2*t**5/15 - 68*t**4/15 + 418*t**3/15 + 2888*t**2/15 = 0. Calculate t.
-4, 0, 19
Determine y, given that -12*y**3 + 105*y**2/2 - 18*y = 0.
0, 3/8, 4
Factor 4*k**3/9 + 1412*k**2/9 + 4184*k/9 - 5600/9.
4*(k - 1)*(k + 4)*(k + 350)/9
Find b, given that -b**5/7 + 6*b**3/7 + 8*b**2/7 + 3*b/7 = 0.
-1, 0, 3
Solve -4*s**2 + 24*s - 20 = 0.
1, 5
Factor -m**3 - 421*m**2 + 845*m - 423.
-(m - 1)**2*(m + 423)
Factor -l**4/2 + 21*l**3/2 + 61*l**2 + 102*l + 52.
-(l - 26)*(l + 1)*(l + 2)**2/2
Solve -4*h**5 + 8*h**3 - 4*h = 0 for h.
-1, 0, 1
Factor -5*a**4/6 - 100*a**3/3 + 105*a**2 - 320*a/3 + 215/6.
-5*(a - 1)**3*(a + 43)/6
Factor -5*m**4 + 10*m**3 - 5*m**2.
-5*m**2*(m - 1)**2
Find n such that 22*n**4/7 - 202*n**3/7 + 212*n**2/7 - 32*n/7 = 0.
0, 2/11, 1, 8
Factor 3*t**2/7 + 30*t.
3*t*(t + 70)/7
Solve 5*l**2 - 18130*l + 16434845 = 0.
1813
Determine w, given that 2*w**5 + 20*w**4 + 44*w**3 - 48*w**2 - 126*w + 108 = 0.
-6, -3, 1
Factor -15*o**2 - 55*o - 30.
-5*(o + 3)*(3*o + 2)
Factor m**2/3 + 4*m - 13/3.
(m - 1)*(m + 13)/3
Let -2*b**4/3 + 40*b**3/3 + 78*b**2 + 392*b/3 + 200/3 = 0. What is b?
-2, -1, 25
Factor 3*n**2 + 111*n.
3*n*(n + 37)
Determine u, given that 3*u**3/7 - 3*u**2 + 12*u/7 + 36/7 = 0.
-1, 2, 6
Factor 15*q**2 - 550*q - 185.
5*(q - 37)*(3*q + 1)
Factor 4*l**2 + 11392*l + 8111104.
4*(l + 1424)**2
Suppose -280*k**3/3 - 1004*k**2/3 - 172*k - 24 = 0. What is k?
-3, -3/10, -2/7
Factor -3*r**2 - 510*r - 21675.
-3*(r + 85)**2
Factor -15*b**2 - 31956*b - 12780.
-3*(b + 2130)*(5*b + 2)
Find t, given that -180*t**5 + 4092*t**4 - 10328*t**3 + 9968*t**2 - 4192*t + 640 = 0.
2/5, 2/3, 1, 20
Factor -3*y**3/5 - 1389*y**2/5 - 32016*y + 161472/5.
-3*(y - 1)*(y + 232)**2/5
Factor -2*w**2 + 224*w + 226.
-2*(w - 113)*(w + 1)
Find t such that 32*t**2 - 22*t - 10 = 0.
-5/16, 1
Find x, given that 4*x**4 - 16*x**3 + 20*x**2 - 8*x = 0.
0, 1, 2
Factor 2*p**2 - 106*p - 220.
2*(p - 55)*(p + 2)
Suppose 13*w**5/6 + 170*w**4/3 + 312*w**3 - 2408*w**2/3 - 392*w/3 = 0. Calculate w.
-14, -2/13, 0, 2
Factor 450*q**2/17 + 60*q + 128/17.
2*(15*q + 2)*(15*q + 32)/17
Factor 3*v**3/4 + 21*v**2/4 + 15*v/2.
3*v*(v + 2)*(v + 5)/4
Solve