1)*(o + 3)/4
Factor -4*v**4/9 + 32*v**3/9 - 20*v**2/9 - 56*v/9.
-4*v*(v - 7)*(v - 2)*(v + 1)/9
Find g such that -g**5/6 + g**4/3 + 3*g**3/2 - g**2/3 - 4*g/3 = 0.
-2, -1, 0, 1, 4
Determine x so that 55*x**4/3 + 85*x**3/3 + 10*x**2 = 0.
-1, -6/11, 0
Determine i, given that -2*i**5/7 - 8*i**4/7 + 6*i**3/7 + 4*i**2 + 16*i/7 = 0.
-4, -1, 0, 2
Factor b**3/4 - 2*b**2 - 31*b/4 - 11/2.
(b - 11)*(b + 1)*(b + 2)/4
Suppose 8*m**4 + 230*m**3 - 5306*m**2 + 24352*m - 5760 = 0. What is m?
-45, 1/4, 8
Let -2*v**5 + 16*v**4 + 2*v**3 - 16*v**2 = 0. What is v?
-1, 0, 1, 8
Let y**4/2 - 19*y**3 + 35*y**2/2 + 37*y = 0. Calculate y.
-1, 0, 2, 37
Find a, given that 4*a**3 - 20*a**2/7 - 8*a/7 = 0.
-2/7, 0, 1
Determine t, given that -10*t**5 - 36*t**4 - 32*t**3 + 20*t**2 + 42*t + 16 = 0.
-8/5, -1, 1
Find z, given that -4*z**2/3 + 9*z - 6 = 0.
3/4, 6
Factor 4*p**2/7 - 488*p/7 + 14884/7.
4*(p - 61)**2/7
Let 4*h**4 - 484*h**3 - 1476*h**2 - 1484*h - 496 = 0. Calculate h.
-1, 124
Let -2*d**2/7 - 54*d/7 - 52/7 = 0. Calculate d.
-26, -1
Factor -2*d**4/3 + 8*d**2 + 32*d/3.
-2*d*(d - 4)*(d + 2)**2/3
Factor -10*x**3 - 4316*x**2 - 464832*x + 186624.
-2*(x + 216)**2*(5*x - 2)
Suppose q**4 + q**3 - 120*q**2 + 468*q = 0. Calculate q.
-13, 0, 6
Determine q so that -2*q**4/7 + 2*q**2 - 12*q/7 = 0.
-3, 0, 1, 2
Find l such that l**4 + 10*l**3 + 17*l**2 - 28*l = 0.
-7, -4, 0, 1
What is h in -2*h**2/3 - 160*h - 9600 = 0?
-120
Determine v, given that -2*v**4 + 130*v**3 - 2772*v**2 + 18392*v + 21296 = 0.
-1, 22
Factor -h**3 + 13*h**2 - 22*h.
-h*(h - 11)*(h - 2)
Solve 2*d**2/17 - 8*d/17 = 0.
0, 4
Solve 2*k**4 + 506*k**3 + 1004*k**2 = 0.
-251, -2, 0
Factor -3*s**4 + 12*s**3 - 15*s**2 + 6*s.
-3*s*(s - 2)*(s - 1)**2
Factor -5*k**2 + 510*k - 13005.
-5*(k - 51)**2
Determine y, given that -3*y**4 - 12*y**3 + 9*y**2 + 42*y + 24 = 0.
-4, -1, 2
Factor c**3/5 + 15*c**2.
c**2*(c + 75)/5
Factor 2*i**3/9 + 14*i**2/3 - 48*i - 1080.
2*(i - 15)*(i + 18)**2/9
Solve 2*w**2/7 + 9440*w/7 + 11139200/7 = 0.
-2360
Factor 4*z**5 + 132*z**4 + 480*z**3 + 464*z**2.
4*z**2*(z + 2)**2*(z + 29)
Factor 3*a**4 - 12*a**3 - 75*a**2 + 84*a.
3*a*(a - 7)*(a - 1)*(a + 4)
Suppose -4*v**2 + 228*v + 232 = 0. Calculate v.
-1, 58
Factor t**3/5 + 26*t**2/5 + 35*t + 30.
(t + 1)*(t + 10)*(t + 15)/5
Factor -12*k**3 - 28*k**2 + 172*k + 60.
-4*(k - 3)*(k + 5)*(3*k + 1)
Solve -y**3 - 34*y**2 - 311*y - 494 = 0 for y.
-19, -13, -2
What is q in 6*q**2/5 - 20208*q/5 + 17015136/5 = 0?
1684
Determine d so that -3*d**5 - 66*d**4 - 180*d**3 - 174*d**2 - 57*d = 0.
-19, -1, 0
Factor 4*u**3 + 28*u**2 - 36*u - 252.
4*(u - 3)*(u + 3)*(u + 7)
Let 3*q**4/7 - 204*q**3/7 - 1734*q**2/7 + 176868*q/7 + 2255067/7 = 0. Calculate q.
-17, 51
Let 2*i**5/5 - 2*i**4 - 36*i**3/5 + 36*i**2 + 162*i/5 - 162 = 0. Calculate i.
-3, 3, 5
Factor -5*p**2/2 - 280*p + 570.
-5*(p - 2)*(p + 114)/2
Factor 175*p**3 + 1390*p**2 + 1145*p - 70.
5*(p + 1)*(p + 7)*(35*p - 2)
Suppose 5*s**3 + 390*s**2 + 7605*s = 0. Calculate s.
-39, 0
Let 2*r**3/5 - 68*r**2/5 + 78*r - 324/5 = 0. What is r?
1, 6, 27
Let 2*s**5/7 + 24*s**4/7 + 58*s**3/7 + 36*s**2/7 = 0. Calculate s.
-9, -2, -1, 0
Suppose 4*b**4 + 224*b**3 + 3132*b**2 - 224*b - 3136 = 0. Calculate b.
-28, -1, 1
What is x in x**3/2 - 886*x**2 + 1771*x/2 = 0?
0, 1, 1771
Suppose 3*x**4/4 - 9*x**3/4 - 18*x**2 - 21*x = 0. What is x?
-2, 0, 7
Factor t**2/5 - 16*t/5 + 11.
(t - 11)*(t - 5)/5
Solve g**4/6 + 377*g**3/6 + 375*g**2/2 + 1123*g/6 + 187/3 = 0.
-374, -1
Let -g**2 - 255*g - 756 = 0. Calculate g.
-252, -3
Determine g so that -g**2/6 + 5*g/2 - 6 = 0.
3, 12
Let -q**2/5 + 279*q/5 - 278/5 = 0. Calculate q.
1, 278
Factor -a**3/4 - 213*a**2/4 - 11655*a/4 - 33075/4.
-(a + 3)*(a + 105)**2/4
Suppose 2*y**4/15 + 56*y**3/15 + 26*y**2 - 56*y/15 - 392/15 = 0. Calculate y.
-14, -1, 1
Suppose a**4/2 + 11*a**3/2 - 29*a**2 - 118*a - 84 = 0. Calculate a.
-14, -2, -1, 6
Solve 3*y**4/7 - 108*y**3/7 + 207*y**2/7 - 102*y/7 = 0.
0, 1, 34
Factor 2*c**3/15 + 22*c**2/5 + 224*c/5 + 392/3.
2*(c + 5)*(c + 14)**2/15
Solve -60*s**5/7 - 44*s**4/7 + 28*s**3 + 12*s**2/7 - 136*s/7 + 32/7 = 0.
-2, -1, 4/15, 1
Determine y so that -3*y**2/8 + 21*y - 81/2 = 0.
2, 54
Let g**4/2 + 4*g**3 - 49*g**2/2 - 4*g + 24 = 0. What is g?
-12, -1, 1, 4
Suppose -2*l**5/7 - 16*l**4/7 - 50*l**3/7 - 76*l**2/7 - 8*l - 16/7 = 0. Calculate l.
-2, -1
Factor -4*y**5/9 + 28*y**4/9 + 8*y**3/9 - 184*y**2/9 - 260*y/9 - 100/9.
-4*(y - 5)**2*(y + 1)**3/9
Factor -3*m**2/2 + 1422*m - 337014.
-3*(m - 474)**2/2
Suppose -5*r**5 - 50*r**4 + 135*r**3 + 140*r**2 - 460*r + 240 = 0. What is r?
-12, -2, 1, 2
Solve -b**2/2 + 16*b + 105/2 = 0.
-3, 35
Factor -106*j**3/5 + 12*j**2/5.
-2*j**2*(53*j - 6)/5
Factor n**2/4 + 5*n/4.
n*(n + 5)/4
Let -2*y**2/5 - 1028*y/5 - 132098/5 = 0. Calculate y.
-257
Factor 21*q**4 - 162*q**3 - 237*q**2 - 54*q.
3*q*(q - 9)*(q + 1)*(7*q + 2)
Factor 21*w**3 - 96*w**2/5 - 219*w/5 - 18/5.
3*(w - 2)*(w + 1)*(35*w + 3)/5
What is t in 5*t**4 + 225*t**3 + 3135*t**2 + 12635*t = 0?
-19, -7, 0
Let -q**2 - 15*q - 36 = 0. What is q?
-12, -3
Factor -3*h**2 - 9636*h - 7737708.
-3*(h + 1606)**2
Let 3*l**4 - 36*l**3/5 + 3*l**2/5 + 18*l/5 = 0. What is l?
-3/5, 0, 1, 2
Factor 5*x**4 - 55*x**3 + 120*x**2 + 180*x.
5*x*(x - 6)**2*(x + 1)
Factor 2*n**3/19 - 22*n**2/19 + 2*n - 18/19.
2*(n - 9)*(n - 1)**2/19
Find i such that 2*i**3 + 94*i**2 - 194*i + 98 = 0.
-49, 1
Suppose c**2 + 119*c/6 - 10/3 = 0. What is c?
-20, 1/6
Factor 2*z**2 + 89*z/2 - 275/2.
(z + 25)*(4*z - 11)/2
Find z, given that 14*z**4/9 - 92*z**3/3 - 1382*z**2/9 - 460*z/3 - 32 = 0.
-3, -1, -2/7, 24
Determine v so that -4*v**3 + 55*v**2 - 39*v = 0.
0, 3/4, 13
Let 4*f**5 + 16*f**4 - 12*f**3 - 72*f**2 = 0. What is f?
-3, 0, 2
Solve -58*x**3/13 + 684*x**2/13 + 136*x + 336/13 = 0 for x.
-2, -6/29, 14
Suppose -5*m**2 - 2350*m - 276125 = 0. Calculate m.
-235
Factor 2*g**3/11 - 50*g**2/11 - 52*g/11.
2*g*(g - 26)*(g + 1)/11
Let 4*m**3 - 2764*m**2 + 476096*m + 478864 = 0. What is m?
-1, 346
Factor -i**3/3 - i**2/3 + 362*i/3 - 120.
-(i - 18)*(i - 1)*(i + 20)/3
Factor -10*f**3 - 285*f**2 - 2520*f - 6480.
-5*(f + 12)**2*(2*f + 9)
Suppose -q**4 + 4*q**3 - 3*q**2 = 0. Calculate q.
0, 1, 3
Find k, given that -k**5/6 + 5*k**4/6 + k**3/3 - 4*k**2 = 0.
-2, 0, 3, 4
Factor -5*f**4 + 130*f**3 - 700*f**2 - 1960*f.
-5*f*(f - 14)**2*(f + 2)
Solve 2*l**4/5 + 10*l**3 - 108*l**2/5 = 0 for l.
-27, 0, 2
Let -4*f**4/9 + 4*f**3/3 + 16*f**2/9 - 16*f/3 = 0. Calculate f.
-2, 0, 2, 3
Find m such that -3*m**3 + 15*m**2 + 234*m + 216 = 0.
-6, -1, 12
Factor 2*c**2/9 + 40*c + 118.
2*(c + 3)*(c + 177)/9
Factor -2*b**5/13 - 68*b**4/13 - 252*b**3/13 - 368*b**2/13 - 242*b/13 - 60/13.
-2*(b + 1)**4*(b + 30)/13
What is s in 5*s**4 - 40*s**3 - 545*s**2 + 1840*s - 1260 = 0?
-9, 1, 2, 14
Factor 6*b**2/5 - 4218*b/5 + 8412/5.
6*(b - 701)*(b - 2)/5
Solve -3*w**4 + 39*w**3 - 93*w**2 - 135*w = 0 for w.
-1, 0, 5, 9
Factor -q**4/4 + 23*q**3/4 - 189*q**2/4 + 637*q/4 - 343/2.
-(q - 7)**3*(q - 2)/4
Factor 2*b**4/3 - 10*b**3 + 28*b**2 + 320*b/3 - 256.
2*(b - 8)**2*(b - 2)*(b + 3)/3
Factor 2*s**3/13 - 48*s**2/13 + 88*s/13.
2*s*(s - 22)*(s - 2)/13
Find x, given that x**3 - 7*x**2 + 11*x - 5 = 0.
1, 5
Let 4*y**2 - 4*y - 24 = 0. Calculate y.
-2, 3
Factor s**4 - 36*s**3 + 102*s**2 - 100*s + 33.
(s - 33)*(s - 1)**3
Let -4*c**3/7 - 1340*c**2/7 + 2692*c/7 - 1348/7 = 0. Calculate c.
-337, 1
Solve -2*y**2 + 22536*y - 63483912 = 0 for y.
5634
Suppose -3*c**4/2 - 69*c**3/2 - 243*c**2 - 510*c - 300 = 0. Calculate c.
-10, -2, -1
Let 2*t**4/7 - 6*t**3/7 - 2*t**2 + 54*t/7 - 36/7 = 0. What is t?
-3, 1, 2, 3
Determine s so that 2*s**3/9 + 14*s**2/9 - 56*s/9 + 40/9 = 0.
-10, 1, 2
Factor 3*i**4 - 45*i**3 - 51*i**2 + 45*i + 48.
3*(i - 16)*(i - 1)*(i + 1)**2
Factor 3*s**3/4 - 105*s**2 + 1617*s/4 + 510.
3*(s - 136)*(s - 5)*(s + 1)/4
Factor 3*u**2 - 861*u + 858.
3*(u - 286)*(u - 1)
What is j in 2*j**3 - 26*j**2 + 104*j - 120 = 0?
2, 5, 6
Factor u**5 + 1619*u**4 + 652858*u**3 - 1968298*u**2 + 1971541*u - 657721.
(u - 1)**3*(u + 811)**2
Let 24*b**4 - 46*b**3 + 20*b**2 + 2*b = 0. What is b?
-1/12, 0, 1
Solve -n**4/3 + n**2 - 2*n/3 = 0 for n.
-2, 0, 1
Suppose -2*w**3/7 + 18*w**2/7 = 0. What is w?
0, 9
Suppose s**2/4 + 33*s/2 + 32 = 0. What is s?
-64, -2
Factor 2*m**4/17 - 18*m**2/17.
2*m**2*(m - 3)*(m + 3)/17
Factor 27*k**4/2 + 222*k**3 