te d.
-1, 0, 2/7, 1
Factor -1000*m**5/3 - 100*m**4 - 10*m**3 - m**2/3.
-m**2*(10*m + 1)**3/3
Find c such that -3*c**3/5 + 9*c**2 - 78*c/5 = 0.
0, 2, 13
Factor 2*u**3 - 52*u**2 + 366*u - 540.
2*(u - 15)*(u - 9)*(u - 2)
Find h such that -1215*h**5 - 3834*h**4 + 183*h**3 + 1998*h**2 - 732*h + 72 = 0.
-3, -1, 2/9, 2/5
Suppose -i**4 - 36*i**3 - 432*i**2 - 1728*i = 0. What is i?
-12, 0
Determine k, given that -216*k**5 - 2871*k**4 - 5838*k**3 - 4452*k**2 - 1434*k - 165 = 0.
-11, -1, -5/8, -1/3
Solve -9*p**4/2 + 33*p**3 + 66*p**2 + 15*p - 27/2 = 0 for p.
-1, 1/3, 9
Solve 7*k**4/2 + 47*k**3/2 + 63*k**2/2 + 13*k/2 - 5 = 0.
-5, -1, 2/7
Solve j**2/3 + 17*j - 52/3 = 0.
-52, 1
Factor 5*p**4 + 135*p**3 + 130*p**2.
5*p**2*(p + 1)*(p + 26)
Factor -c**2/8 - 5*c/2 - 75/8.
-(c + 5)*(c + 15)/8
Factor 15*r**4 + 312*r**3 + 1137*r**2 - 240*r.
3*r*(r + 5)*(r + 16)*(5*r - 1)
Factor 6*t**3/7 - 6*t**2 + 36*t/7.
6*t*(t - 6)*(t - 1)/7
Suppose 788*n**2/7 - 386*n/7 - 4/7 = 0. What is n?
-2/197, 1/2
Find b, given that -65*b**5 - 185*b**4 - 165*b**3 - 35*b**2 + 10*b = 0.
-1, 0, 2/13
Solve -28*p**5 + 2652*p**4 + 3476*p**3 - 1884*p**2 - 3448*p - 768 = 0 for p.
-1, -2/7, 1, 96
Factor -s**5/6 - 7*s**4/6 - 5*s**3/2 - 13*s**2/6 - 2*s/3.
-s*(s + 1)**3*(s + 4)/6
Factor -4*p**3/3 + p**2/3 + 11*p/3 + 2.
-(p - 2)*(p + 1)*(4*p + 3)/3
Factor -h**5 + h**4 + 14*h**3 - 24*h**2.
-h**2*(h - 3)*(h - 2)*(h + 4)
Factor -2*y**2/7 + 106*y/7 + 4756/7.
-2*(y - 82)*(y + 29)/7
Find w such that -2*w**3/13 - 142*w**2/13 - 278*w/13 - 138/13 = 0.
-69, -1
What is v in v**5/5 - 8*v**4/5 + 13*v**3/5 - 6*v**2/5 = 0?
0, 1, 6
Find a, given that -5*a**4 + 190*a**3 - 1365*a**2 - 8820*a = 0.
-4, 0, 21
Factor -r**2/3 + 2*r.
-r*(r - 6)/3
Let -5*j**2 + 35*j + 150 = 0. What is j?
-3, 10
Factor 5*v**4 - 40*v**3 + 115*v**2 - 140*v + 60.
5*(v - 3)*(v - 2)**2*(v - 1)
Determine d so that 2*d**3/7 - 6162*d**2/7 + 4755510*d/7 - 14211126/7 = 0.
3, 1539
Factor y**2/3 + 7*y.
y*(y + 21)/3
Suppose u**3/7 + 150*u**2/7 - 459*u/7 = 0. What is u?
-153, 0, 3
Determine v, given that 2*v**5/11 - 54*v**4/11 = 0.
0, 27
Factor 2*z**5/7 - 10*z**4/7 + 2*z**3 - 6*z**2/7.
2*z**2*(z - 3)*(z - 1)**2/7
Factor -2*z**4 - 44*z**3 - 312*z**2 - 756*z - 486.
-2*(z + 1)*(z + 3)*(z + 9)**2
Determine u so that -u**3/4 + 14*u**2 + 115*u/4 + 29/2 = 0.
-1, 58
Factor 5*c**4 + 19*c**3 - 38*c**2 - 40*c.
c*(c - 2)*(c + 5)*(5*c + 4)
Factor 76*x**3 - 16*x**2 - 260*x - 168.
4*(x + 1)**2*(19*x - 42)
Find j such that -4*j**3 - 60*j**2 + 292*j - 228 = 0.
-19, 1, 3
Determine k so that 2*k**3/7 - 44*k**2/7 + 82*k/7 - 40/7 = 0.
1, 20
Suppose -3*v**5 - 3*v**4 + 3*v**3 + 3*v**2 = 0. Calculate v.
-1, 0, 1
Suppose -361*t**3/10 + 1691*t**2/10 + 561*t/10 + 9/2 = 0. Calculate t.
-3/19, 5
Solve 2*z**3/3 - 46*z**2/3 + 68*z/3 + 112 = 0.
-2, 4, 21
Find h, given that h**4 + 3*h**3 - 20*h**2 - 48*h + 64 = 0.
-4, 1, 4
Solve 2*i**4/9 - 74*i**3/9 + 44*i**2 - 760*i/9 + 496/9 = 0.
2, 31
Factor c**4 - 3*c**3/7 - c**2 + 3*c/7.
c*(c - 1)*(c + 1)*(7*c - 3)/7
Factor s**3 + 34*s**2 - 72*s.
s*(s - 2)*(s + 36)
What is i in 4*i**4 + 40*i**3 - 16*i**2 - 160*i = 0?
-10, -2, 0, 2
Let -3*y**4 - 75*y**3 + 531*y**2 - 825*y + 372 = 0. What is y?
-31, 1, 4
What is m in -m**3/5 - 22*m**2/5 - 28*m - 40 = 0?
-10, -2
Suppose -5*q**2/3 - 15*q + 150 = 0. What is q?
-15, 6
Factor -10*h**3/9 + 74*h**2/9 - 88*h/9 + 8/3.
-2*(h - 6)*(h - 1)*(5*h - 2)/9
Factor 2*l**5/11 - 6*l**4/11 + 4*l**3/11.
2*l**3*(l - 2)*(l - 1)/11
Let -c**3 - 7*c**2 + 18*c = 0. What is c?
-9, 0, 2
Solve -4418*z**4/5 - 9212*z**3/5 - 5178*z**2/5 - 392*z/5 - 8/5 = 0.
-1, -2/47
Factor 105*s**3 - 6715*s**2 + 12760*s - 3100.
5*(s - 62)*(3*s - 5)*(7*s - 2)
What is s in 12*s**3 + 1048*s**2 + 16180*s - 11256 = 0?
-67, -21, 2/3
Factor 2*n**4/7 + 416*n**3/7 + 22844*n**2/7 + 126048*n/7 + 183618/7.
2*(n + 3)**2*(n + 101)**2/7
Suppose -2*j**2/3 - 88*j/3 + 30 = 0. What is j?
-45, 1
Let -2*d**3/15 + 166*d**2/15 + 356*d/15 - 272/3 = 0. Calculate d.
-4, 2, 85
Find r such that r**3/4 - 61*r**2/4 - 16*r + 31 = 0.
-2, 1, 62
Factor -r**2/3 + 14*r/3 + 95/3.
-(r - 19)*(r + 5)/3
Determine c, given that -3*c**3 - 216*c**2 + 675*c = 0.
-75, 0, 3
Suppose 6*t**3 - 68*t**2 - 216*t - 112 = 0. What is t?
-2, -2/3, 14
Factor 2*c**3 - 26*c**2 + 46*c - 22.
2*(c - 11)*(c - 1)**2
Suppose a**3/4 + 175*a**2/4 + 1892*a - 1936 = 0. Calculate a.
-88, 1
Factor 2*x**2/5 + 102*x/5 + 376/5.
2*(x + 4)*(x + 47)/5
Determine k so that 5*k**5 - 35*k**4 - 220*k**3 = 0.
-4, 0, 11
Factor -2*b**3/5 + 14*b**2/5 - 6*b + 18/5.
-2*(b - 3)**2*(b - 1)/5
Factor 5*o**2/3 + 28*o/3 - 4.
(o + 6)*(5*o - 2)/3
Factor 5*v**5 + 90*v**4 - 195*v**3 + 100*v**2.
5*v**2*(v - 1)**2*(v + 20)
Solve 33*i**4 + 237*i**3 + 9*i**2 - 237*i - 42 = 0.
-7, -1, -2/11, 1
Factor -h**2/4 + 39*h/2 - 1521/4.
-(h - 39)**2/4
Factor x**2/6 - 9*x - 4171/6.
(x - 97)*(x + 43)/6
Factor 4*a**3 - 340*a**2 + 668*a - 332.
4*(a - 83)*(a - 1)**2
Factor 3*w**3 + 69*w**2 - 78*w - 144.
3*(w - 2)*(w + 1)*(w + 24)
Factor 4*n**2 + 36*n - 88.
4*(n - 2)*(n + 11)
Determine a so that -3*a**5 - 15*a**4 + 3*a**3 + 51*a**2 - 36*a = 0.
-4, -3, 0, 1
Let 4*s**3 - 708*s**2 - 2152*s - 1440 = 0. Calculate s.
-2, -1, 180
Factor 115*x**2 + 340*x - 15.
5*(x + 3)*(23*x - 1)
Solve 3*c**4 - 69*c**3 + 573*c**2 - 2055*c + 2700 = 0.
4, 5, 9
Factor -q**2/4 - 603*q/4 + 151.
-(q - 1)*(q + 604)/4
Let j**5 + 128*j**4 + 4216*j**3 + 7302*j**2 - 20601*j - 23814 = 0. What is j?
-63, -3, -1, 2
Factor s**5/4 + s**4/4 - 5*s**3/4 + 3*s**2/4.
s**2*(s - 1)**2*(s + 3)/4
Factor -d**2/3 + 32*d/3.
-d*(d - 32)/3
Let 7*m**2/5 - 4*m/5 - 4 = 0. What is m?
-10/7, 2
Factor -2*a**5/15 - 68*a**4/15 - 184*a**3/3 - 2064*a**2/5 - 6912*a/5 - 9216/5.
-2*(a + 6)**3*(a + 8)**2/15
Find w such that -5*w**3/2 - 175*w**2 = 0.
-70, 0
Solve -j**3 - 7*j**2 + 8*j = 0.
-8, 0, 1
Factor -4*n**2/7 + 436*n/7.
-4*n*(n - 109)/7
Suppose l**2/4 + 7*l/2 + 6 = 0. Calculate l.
-12, -2
Solve -r**5/4 - 9*r**4/2 - 55*r**3/2 - 67*r**2 - 273*r/4 - 49/2 = 0 for r.
-7, -2, -1
Solve -a**3/4 - 45*a**2/2 - 126*a = 0.
-84, -6, 0
Find u, given that -1080*u**3 - 11595*u**2 + 3125*u - 110 = 0.
-11, 1/24, 2/9
Factor 2*u**4 + 2*u**3 - 12*u**2 - 8*u + 16.
2*(u - 2)*(u - 1)*(u + 2)**2
Factor -98*d**2 - 2576*d - 16928.
-2*(7*d + 92)**2
Find r, given that -r**4/9 + 4*r**3/9 + 5*r**2/9 - 4*r + 4 = 0.
-3, 2, 3
Solve u**4/3 - 13*u**3/3 + 13*u**2 + 13*u/3 - 40/3 = 0 for u.
-1, 1, 5, 8
Factor s**2/3 + 5*s/3 - 176/3.
(s - 11)*(s + 16)/3
Determine t so that -2*t**5 + 28*t**3 + 24*t**2 - 26*t - 24 = 0.
-3, -1, 1, 4
Solve -2*m**4/7 + 4*m**3/7 + 6*m**2/7 - 8*m/7 - 8/7 = 0 for m.
-1, 2
Factor 4*u**3/3 + 16*u**2/3 - 100*u/3 - 112/3.
4*(u - 4)*(u + 1)*(u + 7)/3
Suppose 128*z**5/7 + 5088*z**4/7 - 1406*z**3/7 - 5008*z**2/7 + 1278*z/7 - 80/7 = 0. Calculate z.
-40, -1, 1/8, 1
Solve -2*o**3 - 420*o**2 - 22050*o = 0.
-105, 0
Solve -l**3/3 + 8*l**2/3 + 4*l/3 - 32/3 = 0.
-2, 2, 8
Determine q so that -q**2/9 + 65*q/9 + 22/3 = 0.
-1, 66
Factor -q**2 - 16*q + 17.
-(q - 1)*(q + 17)
Factor -5*l**3 + 555*l**2 + 1125*l + 565.
-5*(l - 113)*(l + 1)**2
Let 5*q**3 + 25*q**2 - 160*q + 180 = 0. What is q?
-9, 2
Factor u**4/5 + 14*u**3 + 1224*u**2/5 - 14*u - 245.
(u - 1)*(u + 1)*(u + 35)**2/5
Factor j**2/4 - 1557*j/2 + 2424249/4.
(j - 1557)**2/4
Factor -s**2/4 - 27*s/4.
-s*(s + 27)/4
Determine b, given that 2*b**3/13 - 8386*b**2/13 + 8794816*b/13 - 8786432/13 = 0.
1, 2096
Determine q so that 2*q**5/5 - 18*q**4/5 + 4*q**3 + 72*q**2/5 - 112*q/5 = 0.
-2, 0, 2, 7
Suppose -12*j**5/7 + 33*j**4/7 + 15*j**3/7 - 75*j**2/7 - 3*j/7 + 6 = 0. Calculate j.
-1, 1, 7/4, 2
Solve -245*z**5 + 22645*z**4 + 13245*z**3 - 20785*z**2 - 13000*z - 1860 = 0 for z.
-1, -2/7, 1, 93
Factor -27*j**3/4 + 10965*j**2/2 - 1218*j.
-3*j*(j - 812)*(9*j - 2)/4
Suppose -3*n**4/5 + 11*n**3/5 - 8*n**2/5 - 4*n/5 = 0. Calculate n.
-1/3, 0, 2
Factor -z**2/4 + 181*z/4 + 138.
-(z - 184)*(z + 3)/4
Factor -20*g**2 - 655*g - 4485.
-5*(g + 23)*(4*g + 39)
Factor 9*y**3/5 - 237*y**2/5 - 684*y/5 - 348/5.
3*(y - 29)*(y + 2)*(3*y + 2)/5
What is g in g**2/12 + 82*g/3 + 6724/3 = 0?
-164
Suppose s**2/4 - 92*s + 8464 = 0. What is s?
184
Factor -t**2/3 - 10*t - 125/3.
-(t + 5)*(t + 25)/3
Let 5*d**3/7 - 117*d**2/7 + 46*d/7 = 0. What is d?
0, 2/5, 23
Factor -3*j**4/2 + 171*j**2/2 - 84*j.
-3*j*(j - 7)*(j - 1)*(j + 8)/2
Factor 3*h**2 - 867*h +