w/9 - 100/9.
2*(w - 2)*(39*w + 25)/9
Factor 160*c**2 - 1116*c - 28.
4*(c - 7)*(40*c + 1)
Factor -r**2 - 6*r + 216.
-(r - 12)*(r + 18)
Solve 2*s**3/11 + 7948*s**2/11 + 7896338*s/11 = 0.
-1987, 0
What is n in 2*n**5/3 - 2*n**4/3 - 2*n**3 + 2*n**2/3 + 4*n/3 = 0?
-1, 0, 1, 2
Factor -2*p**3/3 + 8*p**2 - 30*p + 100/3.
-2*(p - 5)**2*(p - 2)/3
Factor -y**3/5 - 7*y**2/5 - 2*y.
-y*(y + 2)*(y + 5)/5
Find d, given that -d**2/6 + 453*d/2 + 1361/3 = 0.
-2, 1361
Find t such that 24*t**5/5 - 102*t**4/5 + 21*t**3 + 33*t**2/5 - 48*t/5 - 12/5 = 0.
-1/2, -1/4, 1, 2
Factor 5*u**3 - 5*u**2 - 25*u - 15.
5*(u - 3)*(u + 1)**2
Factor -f**5 - 5*f**4 - 2*f**3 + 8*f**2.
-f**2*(f - 1)*(f + 2)*(f + 4)
Factor -4*y**3 + 288*y**2.
-4*y**2*(y - 72)
Solve -2*t**3/11 + 256*t**2/11 - 8442*t/11 + 15876/11 = 0 for t.
2, 63
Factor -7*n**4/6 + 2125*n**3/6 - 80408*n**2/3 - 11552*n.
-n*(n - 152)**2*(7*n + 3)/6
What is c in -2*c**2 + 137*c/4 + 63/2 = 0?
-7/8, 18
Factor -23805*q**3 - 46230*q**2 + 2740*q - 40.
-5*(q + 2)*(69*q - 2)**2
Let 2*v**5/7 - 20*v**4/7 + 78*v**3/7 - 148*v**2/7 + 136*v/7 - 48/7 = 0. What is v?
1, 2, 3
Factor 4*w**4 - 16*w**3 - 212*w**2 + 816*w + 1008.
4*(w - 6)**2*(w + 1)*(w + 7)
Let -q**2/4 + 15*q/2 + 99/4 = 0. What is q?
-3, 33
Factor -5*y**3 + 835*y**2 - 36080*y + 100860.
-5*(y - 82)**2*(y - 3)
Factor 2*f**2/15 - 220*f/3 - 736/5.
2*(f - 552)*(f + 2)/15
Find o such that 3*o**3 + 2952*o**2 + 968256*o + 105862656 = 0.
-328
Factor -v**2 + 12*v - 11.
-(v - 11)*(v - 1)
Determine y so that -39*y**2 - 105*y + 36 = 0.
-3, 4/13
Factor 2*t**4/13 + 8*t**3/13 - 38*t**2/13 + 28*t/13.
2*t*(t - 2)*(t - 1)*(t + 7)/13
Factor 2*s**5 - 10*s**4 - 172*s**3 - 468*s**2 - 54*s + 702.
2*(s - 13)*(s - 1)*(s + 3)**3
Find f, given that 2*f**4 + 14*f**3 - 258*f**2 - 270*f = 0.
-15, -1, 0, 9
Suppose -2*l**4/7 - 190*l**3/7 - 936*l**2 - 13664*l - 68992 = 0. What is l?
-28, -11
Factor k**4 + 47*k**3 - 368*k**2 + 540*k.
k*(k - 5)*(k - 2)*(k + 54)
Factor 2*d**3/5 - 36*d**2/5 + 34*d/5.
2*d*(d - 17)*(d - 1)/5
What is c in 35*c**5 - 640*c**4 + 3575*c**3 - 6010*c**2 + 3680*c - 640 = 0?
2/7, 1, 8
Let -4*i**5 - 84*i**4 - 452*i**3 - 892*i**2 - 744*i - 224 = 0. Calculate i.
-14, -4, -1
Factor z**2/4 - 28*z - 113/4.
(z - 113)*(z + 1)/4
Solve 2*z**5/9 - 10*z**4/9 + 16*z**3/9 - 8*z**2/9 = 0.
0, 1, 2
Find o, given that -2*o**2/19 + 102*o/19 + 212/19 = 0.
-2, 53
Factor -5*q**4 + 40*q**3 - 95*q**2 + 60*q.
-5*q*(q - 4)*(q - 3)*(q - 1)
Let 5*n**4 - 35*n**3 + 75*n**2 - 45*n = 0. Calculate n.
0, 1, 3
Determine d so that -2*d**3 - 42*d**2 + 92*d = 0.
-23, 0, 2
Determine w so that w**5 - 10*w**4 + 24*w**3 - 22*w**2 + 7*w = 0.
0, 1, 7
Let 8*y**5 - 4*y**4 - 24*y**3 + 28*y**2 - 8*y = 0. Calculate y.
-2, 0, 1/2, 1
Factor t**4 + 7*t**3 + 15*t**2 + 9*t.
t*(t + 1)*(t + 3)**2
Factor w**4/2 + 10*w**3 - 37*w**2/2 - 910*w - 882.
(w - 9)*(w + 1)*(w + 14)**2/2
Factor -4*m**4 + 88*m**3 + 428*m**2 - 240*m - 1872.
-4*(m - 26)*(m - 2)*(m + 3)**2
Factor 120*h**2 + 76*h + 8.
4*(2*h + 1)*(15*h + 2)
Solve -5*p**2/7 - 78*p/7 + 32/7 = 0 for p.
-16, 2/5
Find v, given that -3*v**4 + 3*v**3 + 78*v**2 + 72*v = 0.
-4, -1, 0, 6
Factor -3*n**2 - 150*n - 147.
-3*(n + 1)*(n + 49)
Determine v, given that v**3/4 - 9*v**2 + 60*v + 400 = 0.
-4, 20
Factor w**4/2 - w**3 - 14*w**2 - 23*w - 21/2.
(w - 7)*(w + 1)**2*(w + 3)/2
Solve -2*g**3/5 - 144*g**2/5 - 690*g - 5500 = 0.
-25, -22
Determine j so that 2*j**3/15 + 8*j**2/5 + 6*j + 36/5 = 0.
-6, -3
Let -9*o**5/4 - 81*o**4/4 - 107*o**3/4 + 161*o**2/4 + 44*o - 35 = 0. Calculate o.
-7, -2, -5/3, 2/3, 1
Find v such that v**4/4 + v**3/4 - 31*v**2/4 - 61*v/4 - 15/2 = 0.
-5, -1, 6
Factor g**4/2 - 5*g**3 + 8*g**2.
g**2*(g - 8)*(g - 2)/2
Factor 5*b**4/2 - 30*b**3 + 45*b**2/2 + 55*b.
5*b*(b - 11)*(b - 2)*(b + 1)/2
Suppose -t**3/2 + 11*t**2/2 - 39*t/2 + 45/2 = 0. Calculate t.
3, 5
Factor 5*i**2 + 110*i - 115.
5*(i - 1)*(i + 23)
Determine p, given that 4*p**3/5 + 5208*p**2/5 + 2260272*p/5 + 326986016/5 = 0.
-434
Let -v**3/9 + 5*v**2/9 - 8*v/9 + 4/9 = 0. What is v?
1, 2
Let -3*y**3/7 - 99*y**2/7 - 765*y/7 + 867/7 = 0. Calculate y.
-17, 1
Let 13*w**2/8 + 29*w/4 - 35/8 = 0. What is w?
-5, 7/13
Factor -5*u**3/6 - 80*u**2/3 - 290*u/3 - 280/3.
-5*(u + 2)**2*(u + 28)/6
Determine l, given that 5*l**4 - 40*l**2 + 80 = 0.
-2, 2
Solve -4*u**2 - 556*u + 4088 = 0.
-146, 7
Find f such that f**4 - 4*f**2 = 0.
-2, 0, 2
Solve 36*v**2/7 + 788*v/7 - 88/7 = 0 for v.
-22, 1/9
Find w, given that w**4/5 - 4*w**3/5 - w**2/5 + 4*w/5 = 0.
-1, 0, 1, 4
Suppose -35*m**2 + 4815*m + 2070 = 0. Calculate m.
-3/7, 138
Determine i, given that -3*i**5 + 48*i**4 - 33*i**3 - 192*i**2 + 180*i = 0.
-2, 0, 1, 2, 15
Suppose -2*b**2 + 452*b - 25538 = 0. Calculate b.
113
Find d, given that -3*d**5 + 30*d**4 - 114*d**3 + 204*d**2 - 171*d + 54 = 0.
1, 2, 3
Solve h**5 + 30*h**4 + 300*h**3 + 1000*h**2 = 0.
-10, 0
Solve 2*x**4 - 42*x**3 + 2*x**2 + 2058*x + 3740 = 0.
-5, -2, 11, 17
Determine a so that 2*a**3 - 10672*a**2/7 + 2035302*a/7 - 580644/7 = 0.
2/7, 381
Solve -9*t**3/2 - 39*t**2 - 111*t/2 - 21 = 0.
-7, -1, -2/3
Factor 2*x**2/15 + 52*x/3 + 86/5.
2*(x + 1)*(x + 129)/15
Find r, given that -5*r**3 + 35*r**2 - 20*r - 60 = 0.
-1, 2, 6
Find j such that -2*j**2/15 - 44*j/3 - 1210/3 = 0.
-55
Find a such that -4*a**4 + 104*a**3 - 564*a**2 - 1456*a - 784 = 0.
-1, 14
Find s such that -3*s**3 + 1152*s**2 + 11745*s + 29550 = 0.
-5, 394
Factor f**3/5 - 2*f**2/5 + f/5.
f*(f - 1)**2/5
Factor 6*s**3 + 777*s**2 + 384*s - 387.
3*(s + 1)*(s + 129)*(2*s - 1)
Find l such that 2*l**4/5 + 4*l**3 - 100*l - 250 = 0.
-5, 5
Suppose 3*k**4 + 51*k**3 + 126*k**2 - 780*k + 600 = 0. What is k?
-10, 1, 2
Factor -3*x**3/7 + 59*x**2/7 - 277*x/7 - 99/7.
-(x - 11)*(x - 9)*(3*x + 1)/7
Factor -2*c**3/7 + 12*c**2/7 - 24*c/7 + 16/7.
-2*(c - 2)**3/7
Find u, given that -u**3 - 291*u**2 - 21315*u - 21025 = 0.
-145, -1
Solve -20*t**2 - 258*t - 238 = 0.
-119/10, -1
Factor -5*k**4 - 30*k**3 - 55*k**2 - 30*k.
-5*k*(k + 1)*(k + 2)*(k + 3)
Determine z, given that 93987*z**3 + 467811*z**2 - 10608*z + 60 = 0.
-5, 2/177
Factor p**3/2 - p**2 - 4*p.
p*(p - 4)*(p + 2)/2
Factor -f**3/3 - 27*f**2 - 729*f - 6561.
-(f + 27)**3/3
Determine w, given that w**2/9 + 1696*w/3 + 719104 = 0.
-2544
Find q such that 9*q**3 - 60*q**2 + 36*q = 0.
0, 2/3, 6
Factor -3*v**4 - 1488*v**3 + 13554*v**2 - 40824*v + 40905.
-3*(v - 3)**3*(v + 505)
Factor 2*h**3/9 + 8*h**2/3 + 22*h/9.
2*h*(h + 1)*(h + 11)/9
Determine g so that -2*g**5/17 + 12*g**4/17 + 52*g**3/17 + 24*g**2/17 - 50*g/17 - 36/17 = 0.
-2, -1, 1, 9
Factor -3*l**4 - 51*l**3 - 93*l**2 - 45*l.
-3*l*(l + 1)**2*(l + 15)
Determine h, given that -1600*h**3 - 75360*h**2 - 7524*h - 188 = 0.
-47, -1/20
Factor 3*o**3/2 + 60*o**2 + 639*o/2 + 459.
3*(o + 3)**2*(o + 34)/2
Solve -3*a**5/2 + 9*a**4 - 12*a**3 - 9*a**2 + 27*a/2 = 0 for a.
-1, 0, 1, 3
Factor 5*f**4 + 375*f**3 - 1160*f**2 + 780*f.
5*f*(f - 2)*(f - 1)*(f + 78)
Find p, given that -4*p**5/3 - 82*p**4/9 - 118*p**3/9 - 38*p**2/9 + 10*p/9 = 0.
-5, -1, 0, 1/6
Factor 12*o**2 - 513*o - 129.
3*(o - 43)*(4*o + 1)
Suppose -20*b**5 + 2215*b**4 + 2815*b**3 - 1655*b**2 - 2795*b - 560 = 0. What is b?
-1, -1/4, 1, 112
Factor 2*t**3/5 - 76*t**2/5 + 128*t + 320.
2*(t - 20)**2*(t + 2)/5
Determine t so that 5*t**2 + 885*t - 890 = 0.
-178, 1
Suppose -4*n**3 - 64*n**2 + 396*n - 504 = 0. What is n?
-21, 2, 3
Determine x so that x**5 - x**4 - 13*x**3 + x**2 + 12*x = 0.
-3, -1, 0, 1, 4
Let v**3/2 + v**2/4 - 9*v/2 - 9/4 = 0. Calculate v.
-3, -1/2, 3
Factor 4*m**2 + 1792*m + 200704.
4*(m + 224)**2
Factor -4*k**2 - 368*k + 752.
-4*(k - 2)*(k + 94)
Let -12*i**3 - 140*i**2 + 384*i - 112 = 0. Calculate i.
-14, 1/3, 2
Let -3*k**3 + 279*k**2 - 8649*k + 89373 = 0. Calculate k.
31
Determine p, given that -9*p**2/5 - 6*p/5 + 3/5 = 0.
-1, 1/3
Factor -b**2/2 + 17*b + 195/2.
-(b - 39)*(b + 5)/2
Factor 5*i**3 + 100*i**2 + 185*i + 90.
5*(i + 1)**2*(i + 18)
Let -l**3 - 514*l**2 + 1031*l - 516 = 0. What is l?
-516, 1
Factor -2*t**4/3 + 2*t**3/3 + 10*t**2/3 + 2*t.
-2*t*(t - 3)*(t + 1)**2/3
Let 5*y**5 - 5*y**4 - 25*y**3 - 15*y**2 = 0. Calculate y.
-1, 0, 3
Factor j**5 - 42*j**4 + 549*j**3 - 2272*j**2 + 3060*j - 1296.
(j - 18)**2*(j - 4)*(j - 1)**2
Factor -2*p**2 + 2676*p - 895122.
-2*(p - 669)**2
Determine w so that -2*w**3 + 46*w**2 - 214*w + 170 = 0.
1, 5, 17
Factor -4*b**2 