v/9 + 62.
-2*(v - 31)*(v + 9)/9
Solve -u**2 + 205*u - 204 = 0 for u.
1, 204
Solve -8*b**5/3 - 388*b**4/3 - 944*b**3 + 5144*b**2/3 - 200*b/3 - 572 = 0 for b.
-39, -11, -1/2, 1
Factor -u**2/2 - 9*u - 16.
-(u + 2)*(u + 16)/2
Find j such that 5*j**4/6 - 55*j**3/3 + 155*j**2/2 + 300*j - 360 = 0.
-3, 1, 12
Factor -2*h**4 - 170*h**3 - 656*h**2 - 648*h.
-2*h*(h + 2)**2*(h + 81)
Factor -v**2/10 - 1552*v/5 + 621/2.
-(v - 1)*(v + 3105)/10
What is f in -2*f**3 + 1412*f**2 + 2830*f + 1416 = 0?
-1, 708
What is b in -81*b**3 - 62052*b**2 - 11886405*b - 880134 = 0?
-383, -2/27
Factor 2*y**3/5 - 4*y**2 + 62*y/5 - 12.
2*(y - 5)*(y - 3)*(y - 2)/5
Suppose -4*l**4 - 400*l**3/7 + 180*l**2 - 80*l - 272/7 = 0. Calculate l.
-17, -2/7, 1, 2
Factor -v**4/2 + 13*v**3/2 + 41*v**2 + 70*v + 36.
-(v - 18)*(v + 1)*(v + 2)**2/2
Suppose -2*c**3/3 + 98*c**2/3 - 190*c/3 + 94/3 = 0. Calculate c.
1, 47
Solve -9*v**5/7 - 15*v**4 - 237*v**3/7 - 195*v**2/7 - 54*v/7 = 0 for v.
-9, -1, -2/3, 0
Suppose -n**4/7 + n**3/7 + 2*n**2/7 = 0. Calculate n.
-1, 0, 2
Solve -2*i**5/13 - 50*i**4/13 - 164*i**3/13 + 1836*i**2/13 - 2970*i/13 + 1350/13 = 0 for i.
-15, 1, 3
Solve -68*d**5/3 + 37*d**4 + 116*d**3/3 - 107*d**2/3 - 16*d - 4/3 = 0 for d.
-1, -1/4, -2/17, 1, 2
Find b, given that 20*b**5 + 275*b**4 + 1265*b**3 + 1915*b**2 - 725*b - 2750 = 0.
-5, -11/4, -2, 1
Factor -3*u**3 + 15*u**2 + 99*u + 81.
-3*(u - 9)*(u + 1)*(u + 3)
Determine v, given that 105125*v**2 - 8700*v + 180 = 0.
6/145
Let 81*w**5/7 + 774*w**4/7 + 2517*w**3/7 + 3168*w**2/7 + 1236*w/7 + 144/7 = 0. What is w?
-4, -3, -2, -1/3, -2/9
Factor 4*d**3 - 124*d**2 - 400*d - 272.
4*(d - 34)*(d + 1)*(d + 2)
Find c such that -3*c**4/4 + 12*c**3 + 57*c**2/4 - 51*c/2 = 0.
-2, 0, 1, 17
Determine k so that -2*k**2/9 - 22*k/9 - 56/9 = 0.
-7, -4
Factor 5*x**3 + 110*x**2 - 235*x + 120.
5*(x - 1)**2*(x + 24)
Let -p**3/5 + 37*p**2/5 - 72*p + 324/5 = 0. Calculate p.
1, 18
Let -5*k**4 + 40*k**3 - 75*k**2 - 40*k + 80 = 0. Calculate k.
-1, 1, 4
Factor 1016*a**2/3 + 5078*a/3 - 10/3.
2*(a + 5)*(508*a - 1)/3
Factor 3*a**4/7 + 33*a**3/7 - 75*a**2/7 + 39*a/7.
3*a*(a - 1)**2*(a + 13)/7
Factor 3*g**3 + 1194*g**2 - 1197*g.
3*g*(g - 1)*(g + 399)
Let -8*p**5/13 - 190*p**4/13 - 1224*p**3/13 - 2722*p**2/13 - 1640*p/13 + 600/13 = 0. Calculate p.
-15, -5, -2, 1/4
Find m such that 2*m**4/5 + 164*m**3/5 + 762*m**2/5 - 656*m/5 - 616 = 0.
-77, -5, -2, 2
Factor -2*j**2/5 + 6*j/5 + 8/5.
-2*(j - 4)*(j + 1)/5
What is n in -n**3 + 159*n**2 - 6552*n + 18252 = 0?
3, 78
Solve -3*w**3 + 138*w**2 + 3*w - 138 = 0.
-1, 1, 46
Determine g, given that 320*g**4 + 400*g**3 - 11220*g**2 - 44165*g - 46585 = 0.
-11/4, 7
Determine m so that -439922*m**3/9 + 421162*m**2/9 + 18560*m/9 + 200/9 = 0.
-10/469, 1
Let -4*t**3/3 + 32*t**2/3 + 80*t - 192 = 0. Calculate t.
-6, 2, 12
Suppose 6*z**5/5 - 13*z**4/5 + 2*z**3/5 + 12*z**2/5 - 8*z/5 + 1/5 = 0. Calculate z.
-1, 1/6, 1
Factor -8*s**4/9 + 32*s**3/9 - 26*s**2/9 + 2*s/3.
-2*s*(s - 3)*(2*s - 1)**2/9
Let 2*q**4/7 - 6*q**3/7 - 30*q**2/7 - 34*q/7 - 12/7 = 0. What is q?
-1, 6
Factor -3*g**2 - 2424*g + 2427.
-3*(g - 1)*(g + 809)
Factor -5*l**2 - 7520*l - 7515.
-5*(l + 1)*(l + 1503)
Find u such that u**3 - 2624*u**2 = 0.
0, 2624
Factor 4*s**2 + 104*s.
4*s*(s + 26)
Factor 2*o**5/17 - 4*o**4/17.
2*o**4*(o - 2)/17
What is a in -a**2/2 + 52*a - 1352 = 0?
52
Factor 3*u**2 - 48*u + 84.
3*(u - 14)*(u - 2)
Factor 8*f**3 + 501*f**2 - 189*f.
f*(f + 63)*(8*f - 3)
Factor 2*p**4/5 + 6*p**3/5 - 26*p**2/5 - 102*p/5 - 72/5.
2*(p - 4)*(p + 1)*(p + 3)**2/5
Suppose -8*v**2/15 + 18*v/5 + 14/15 = 0. What is v?
-1/4, 7
Suppose 34*v**3/5 - 46*v**2/5 + 12*v/5 = 0. What is v?
0, 6/17, 1
Factor 2*a**2/3 + 1066*a/3 - 356.
2*(a - 1)*(a + 534)/3
Factor 4*v**2 + 44*v - 104.
4*(v - 2)*(v + 13)
Factor -z**4/5 - 33*z**3/5 - 134*z**2/5 + 168*z/5.
-z*(z - 1)*(z + 6)*(z + 28)/5
Determine w so that -45*w**4/4 - 69*w**3/2 + 43*w**2 + 2*w - 8 = 0.
-4, -2/5, 2/3
Solve -4*d**5 - 60*d**4 - 261*d**3 - 196*d**2 + 423*d - 126 = 0 for d.
-7, -6, -3, 1/2
Factor 2*l**4/5 - 9*l**3/10 - 38*l**2/5 - 42*l/5.
l*(l - 6)*(l + 2)*(4*l + 7)/10
Find f, given that 3*f**3 + 561*f**2/2 + 6486*f - 6627/2 = 0.
-47, 1/2
Solve g**2/4 - 3*g = 0 for g.
0, 12
Factor -4*g**2/7 + 2488*g/7 - 386884/7.
-4*(g - 311)**2/7
Let 2*g**4/7 + 570*g**3/7 - 246*g**2 + 1726*g/7 - 576/7 = 0. What is g?
-288, 1
Solve -3*c**3 - 5208*c**2 = 0.
-1736, 0
Find v, given that 6*v**4/5 - 27*v**3 + 522*v**2/5 - 132*v + 216/5 = 0.
1/2, 2, 18
Factor -12*u**2 + 272*u - 176.
-4*(u - 22)*(3*u - 2)
What is p in 94*p**2/9 + 202*p/9 + 12 = 0?
-54/47, -1
Let -147*v**4 - 2373*v**3 - 237*v**2 + 1557*v - 432 = 0. Calculate v.
-16, -1, 3/7
Solve -6*l**4/11 - 34*l**3/11 - 18*l**2/11 + 82*l/11 - 24/11 = 0 for l.
-4, -3, 1/3, 1
Let -2*t**4 - 32*t**3 + 2*t**2 + 32*t = 0. Calculate t.
-16, -1, 0, 1
Find b such that -b**5 + 38*b**4 - 71*b**3 - 38*b**2 + 72*b = 0.
-1, 0, 1, 2, 36
Factor 101124*z**3 - 1620528*z**2 + 40720*z - 256.
4*(z - 16)*(159*z - 2)**2
Let 2*d**5 - 2*d**4 - 6*d**3 + 2*d**2 + 4*d = 0. What is d?
-1, 0, 1, 2
Factor z**2/4 + 9*z/2 + 45/4.
(z + 3)*(z + 15)/4
Find n such that -2*n**3 - 10*n**2 - 14*n - 6 = 0.
-3, -1
Let o**5/2 - o**4/8 - 731*o**3/2 - 5101*o**2/8 - 727*o/4 + 91 = 0. What is o?
-26, -1, 1/4, 28
Factor -4*j**2/3 - 208*j/3 - 2704/3.
-4*(j + 26)**2/3
Let 3*x**5/2 + 15*x**4/2 - 87*x**3/2 - 315*x**2/2 = 0. Calculate x.
-7, -3, 0, 5
Let k**3/4 - 89*k**2/4 + 1935*k/4 + 2025/4 = 0. Calculate k.
-1, 45
Factor s**3 + 687*s**2 + 118335*s + 117649.
(s + 1)*(s + 343)**2
Find w such that -2*w**5/7 + 6*w**4/7 + 2*w**3 - 54*w**2/7 + 36*w/7 = 0.
-3, 0, 1, 2, 3
Find y, given that y**5 - 75*y**4 - 311*y**3 - 393*y**2 - 158*y = 0.
-2, -1, 0, 79
Factor 81*b**2/5 - 966*b/5 - 72/5.
3*(b - 12)*(27*b + 2)/5
Factor -o**5/8 + 3*o**4/4 - o**3.
-o**3*(o - 4)*(o - 2)/8
Solve 4*k**3 - 3468*k**2 + 753420*k - 749956 = 0 for k.
1, 433
Solve 50*a**2/23 - 142*a/23 - 24/23 = 0 for a.
-4/25, 3
Factor -p**2/6 + 7*p/6 - 1.
-(p - 6)*(p - 1)/6
Factor d**4 - 5*d**3 - 47*d**2 - 39*d + 90.
(d - 10)*(d - 1)*(d + 3)**2
Find u, given that u**2/4 + 16*u + 63/4 = 0.
-63, -1
Factor -x**3/5 - 96*x**2 - 15360*x - 819200.
-(x + 160)**3/5
Determine g, given that -5*g**4 - 2520*g**3 - 5025*g**2 - 2510*g = 0.
-502, -1, 0
Factor -r**3 + 52*r**2 - 676*r.
-r*(r - 26)**2
Determine v, given that -81*v**5/11 - 1251*v**4/11 - 4351*v**3/11 - 4425*v**2/11 - 1376*v/11 - 12 = 0.
-11, -3, -1, -2/9
Factor -m**4/5 + 26*m**3/5 + 168*m**2/5 - 82*m + 217/5.
-(m - 31)*(m - 1)**2*(m + 7)/5
Let 75*a**2 - 80*a + 5 = 0. Calculate a.
1/15, 1
Factor 7*m**4/5 + 968*m**3/5 + 33603*m**2/5 + 9522*m/5.
m*(m + 69)**2*(7*m + 2)/5
Suppose 2*x**3/7 - 166*x**2/7 + 576*x - 30456/7 = 0. Calculate x.
18, 47
Factor t**2/2 + 21*t/2 - 50.
(t - 4)*(t + 25)/2
Factor 4*g**4/5 - 36*g**2/5 + 16*g/5 + 48/5.
4*(g - 2)**2*(g + 1)*(g + 3)/5
Determine j so that -5*j**3 - 375*j**2 = 0.
-75, 0
Factor c**2/3 - 91*c/3 - 92/3.
(c - 92)*(c + 1)/3
Factor -n**2/8 - 3*n/8 + 27/4.
-(n - 6)*(n + 9)/8
Solve -p**5/4 - p**4/2 + 3*p**3/4 + 2*p**2 + p = 0 for p.
-2, -1, 0, 2
Find l, given that l**2 - 293*l + 292 = 0.
1, 292
Suppose -4*v**3/9 + 10*v**2/3 - 8*v + 6 = 0. Calculate v.
3/2, 3
Factor -5*h**4 - 2310*h**3 + 9300*h**2 - 9320*h.
-5*h*(h - 2)**2*(h + 466)
Find x, given that 12*x**4 - 69*x**3 - 30*x**2 + 69*x + 18 = 0.
-1, -1/4, 1, 6
Determine l so that 4*l**3 + 168*l**2 + 624*l + 608 = 0.
-38, -2
Solve -g**4/5 - 2*g**3 - 28*g**2/5 - 6*g/5 + 9 = 0.
-5, -3, 1
Factor v**3/2 - 6*v**2 + 18*v.
v*(v - 6)**2/2
Solve -3*w**3 - 51*w**2 + 174*w - 120 = 0 for w.
-20, 1, 2
Factor 9*x**3/4 - 111*x**2/2 + 1215*x/4 - 357/2.
3*(x - 17)*(x - 7)*(3*x - 2)/4
Let v**3/7 - 2*v**2/7 - 29*v/7 + 30/7 = 0. Calculate v.
-5, 1, 6
Factor -r**2 + 26*r + 27.
-(r - 27)*(r + 1)
Suppose c**4 - 494*c**3 + 60513*c**2 + 122512*c + 61504 = 0. Calculate c.
-1, 248
Determine b, given that -675*b**3 - 150705*b**2 - 40152*b - 2676 = 0.
-223, -2/15
Solve -b**5/5 + 8*b**3/5 - 6*b**2/5 - 7*b/5 + 6/5 = 0 for b.
-3, -1, 1, 2
Determine s so that -s**4/4 - s**3 + 3*s**2/4 + 5*s/2 - 2 = 0.
-4, -2, 1
Factor 5*k**4 + 30*k**3 + 65*k**2 + 60*k + 20.
5*(k + 1)**2*(k + 2)**2
Determine t, given that 3481*t**2/2 - 354*t + 18 = 0.
6/59
Suppose 4*i**4/3 + 3940*i**3/3 + 3932*i**2/3 - 3940*i/3 - 1312 = 0. What i