 given that 2*b**4/7 + 104*b**3/7 + 1004*b**2/7 - 9048*b/7 + 15138/7 = 0.
-29, 3
Factor 2*m**5 - 668*m**4 - 1344*m**3 - 4*m**2 + 1342*m + 672.
2*(m - 336)*(m - 1)*(m + 1)**3
Factor -2*x**2/3 + 10*x - 24.
-2*(x - 12)*(x - 3)/3
Factor t**2 - 5*t - 50.
(t - 10)*(t + 5)
Factor 2*z**5 + 28*z**4 + 24*z**3 - 368*z**2 - 1024*z - 768.
2*(z - 4)*(z + 2)**3*(z + 12)
Factor 2*k**3/3 + 42*k**2 + 1492*k/3 + 832.
2*(k + 2)*(k + 13)*(k + 48)/3
Solve -2*l**4 + 22*l**3 - 78*l**2 + 98*l - 40 = 0.
1, 4, 5
Find m such that 4*m**5/3 + 164*m**4/3 + 104*m**3 - 9048*m**2 + 45036*m - 61236 = 0.
-27, 3, 7
Solve 2*d**5/9 + 2*d**4 + 10*d**3/3 - 50*d**2/9 = 0.
-5, 0, 1
Factor -3*j**2/7 - 45*j/7.
-3*j*(j + 15)/7
Determine h, given that h**5/2 + h**4 - h**2 - h/2 = 0.
-1, 0, 1
Suppose -r**2/4 - 17*r/4 - 15/2 = 0. Calculate r.
-15, -2
Factor 4*s**4 - 288*s**3 + 1340*s**2.
4*s**2*(s - 67)*(s - 5)
Factor -4*i**3 + 12*i**2 - 8*i.
-4*i*(i - 2)*(i - 1)
Solve 5*g**5/3 + 5*g**4/6 - 20*g**3/3 + 25*g**2/6 = 0 for g.
-5/2, 0, 1
Factor 3*s**3 - 12*s**2 + 15*s - 6.
3*(s - 2)*(s - 1)**2
Factor -f**3/3 - 62*f**2/3 - 235*f/3 - 58.
-(f + 1)*(f + 3)*(f + 58)/3
Factor -4*k**3 + 20*k**2 + 112*k - 128.
-4*(k - 8)*(k - 1)*(k + 4)
Solve b**5/2 - 39*b**4/2 - 43*b**3/2 + 119*b**2/2 + 21*b - 40 = 0.
-2, -1, 1, 40
Factor -w**2 + 553*w - 552.
-(w - 552)*(w - 1)
Factor -28*x**3/5 + 92*x**2/5 - 24*x/5.
-4*x*(x - 3)*(7*x - 2)/5
Factor 4*x**3/3 + 16*x**2/3 + 20*x/3 + 8/3.
4*(x + 1)**2*(x + 2)/3
Find f such that 2*f**3 + 300*f**2 - 4494*f + 16072 = 0.
-164, 7
Factor -4*p**2 + 40*p - 100.
-4*(p - 5)**2
Solve -4*p**2 + 4*p + 8 = 0 for p.
-1, 2
What is l in 4*l**2 - 56*l + 192 = 0?
6, 8
What is d in 4*d**5 - 20*d**3 + 16*d = 0?
-2, -1, 0, 1, 2
Find h such that 6*h**4 + 64*h**3 + 38*h**2 - 20*h = 0.
-10, -1, 0, 1/3
Find z, given that -2*z**4 + 14*z**3 - 20*z**2 = 0.
0, 2, 5
Factor -4*m**4 + 4*m**2.
-4*m**2*(m - 1)*(m + 1)
Solve g**2/8 - 1311*g/8 + 981/2 = 0 for g.
3, 1308
Factor 4*y**2 + 36*y + 56.
4*(y + 2)*(y + 7)
Determine h, given that 3*h**4/2 + 24*h**3 + 189*h**2/2 + 138*h + 66 = 0.
-11, -2, -1
What is t in -4*t**3 - 1032*t**2 - 66564*t = 0?
-129, 0
Find u, given that -3*u**3/4 - 471*u**2/4 = 0.
-157, 0
Factor n**2/3 - 37*n/9 + 4/3.
(n - 12)*(3*n - 1)/9
Determine p, given that -25*p**3 + 610*p**2 - 1340*p + 440 = 0.
2/5, 2, 22
Determine f so that -f**2 - 45*f + 46 = 0.
-46, 1
Factor -3*i**3/2 - 27*i**2/2 + 15*i.
-3*i*(i - 1)*(i + 10)/2
Factor v**3/2 + 12*v**2 + 83*v/2 + 30.
(v + 1)*(v + 3)*(v + 20)/2
Factor -a**3/5 - 39*a**2/5 - 236*a/5 - 384/5.
-(a + 3)*(a + 4)*(a + 32)/5
Determine w, given that 3*w**2/4 + 474*w - 1899/4 = 0.
-633, 1
Solve -3*a**3 + 23*a**2 + 68*a + 20 = 0.
-2, -1/3, 10
Let -f**5 + 6*f**4 - 12*f**3 + 8*f**2 = 0. What is f?
0, 2
Determine y, given that -2*y**4 + 58*y**3 + 420*y**2 = 0.
-6, 0, 35
Factor -u**2 + 136*u - 4624.
-(u - 68)**2
Suppose 5*w**3 + 1650*w**2 - 3315*w + 1660 = 0. What is w?
-332, 1
Factor -16*d**3 + 108*d**2 + 28*d.
-4*d*(d - 7)*(4*d + 1)
Solve 2*j**2/5 + 14*j + 132/5 = 0.
-33, -2
Find z, given that 2*z**2/3 - 9028*z/3 + 10188098/3 = 0.
2257
Find a, given that 2*a**4 + 4*a**3 - 2*a**2 - 4*a = 0.
-2, -1, 0, 1
Let 25*t**4/9 + 1670*t**3/9 + 28549*t**2/9 + 7348*t/3 + 484 = 0. Calculate t.
-33, -2/5
Let y**3/2 + 71*y**2/2 - 145*y/2 + 73/2 = 0. What is y?
-73, 1
Factor -p**2/9 + 3248*p/9 - 2637376/9.
-(p - 1624)**2/9
Factor -i**2/5 - 12*i/5 - 4.
-(i + 2)*(i + 10)/5
Solve l**5/3 + 4*l**4 + 12*l**3 + 32*l**2/3 = 0 for l.
-8, -2, 0
What is s in 10*s**5 - 365*s**4 + 520*s**3 + 190*s**2 - 530*s + 175 = 0?
-1, 1/2, 1, 35
Factor -8*d**3 + 84*d**2 + 248*d + 156.
-4*(d - 13)*(d + 1)*(2*d + 3)
Suppose 4*q**2 + 912*q - 2772 = 0. What is q?
-231, 3
Factor -4*r**2 + 228*r - 3240.
-4*(r - 30)*(r - 27)
Let 25*o**2 + 435*o - 270 = 0. Calculate o.
-18, 3/5
Factor 4*z**4 + 4*z**3 - 20*z**2 + 12*z.
4*z*(z - 1)**2*(z + 3)
Find c such that -517*c**3 + 661*c**2/2 - 32*c - 2 = 0.
-2/47, 2/11, 1/2
Factor -h**4 - 20*h**3 + 51*h**2 + 1530*h - 5400.
-(h - 6)*(h - 4)*(h + 15)**2
Suppose -2*y**2/5 - 46*y/5 + 156/5 = 0. What is y?
-26, 3
What is n in -n**2/8 - 35*n/4 = 0?
-70, 0
Suppose 4*q**4 + 148*q**3 - 316*q**2 - 148*q + 312 = 0. What is q?
-39, -1, 1, 2
Find m, given that -3*m**4/7 - 45*m**3/7 - 213*m**2/7 - 387*m/7 - 216/7 = 0.
-8, -3, -1
Factor -j**5 - 9*j**4 + 10*j**3.
-j**3*(j - 1)*(j + 10)
Solve 2*y**2 - 18*y + 36 = 0 for y.
3, 6
Factor -2*a**3/15 - 242*a**2/3 - 184814*a/15 - 181202/5.
-2*(a + 3)*(a + 301)**2/15
What is l in 11*l**5/3 + 8*l**4 + 4*l**3/3 - 22*l**2/3 - 5*l - 2/3 = 0?
-1, -2/11, 1
Factor -c**3 + 44*c**2 - 463*c + 420.
-(c - 28)*(c - 15)*(c - 1)
Let 2*h**2/5 + 124*h/5 + 864/5 = 0. Calculate h.
-54, -8
Solve 2*r**3 - 1054*r**2 - 3176*r - 2120 = 0 for r.
-2, -1, 530
Suppose 2*w**2/7 + 16*w/7 = 0. Calculate w.
-8, 0
Determine j so that -j**4/3 - 47*j**3 + 289*j**2/3 + 143*j = 0.
-143, -1, 0, 3
Find f such that 5*f**4 + 25*f**3 - 155*f**2 + 215*f - 90 = 0.
-9, 1, 2
Solve -4*h**4/5 + 196*h**3/5 - 2488*h**2/5 + 384*h + 4608/5 = 0 for h.
-1, 2, 24
Factor 4*v**3 + 212*v**2 + 1756*v + 1548.
4*(v + 1)*(v + 9)*(v + 43)
Factor s**3/4 + 213*s**2/2 + 15123*s + 715822.
(s + 142)**3/4
Find h, given that -h**5 + 13*h**4 - 41*h**3 + 47*h**2 - 18*h = 0.
0, 1, 2, 9
Factor -8*r**3 + 66*r**2 - 136*r + 30.
-2*(r - 5)*(r - 3)*(4*r - 1)
Let -20*l**2 - 63412*l + 25368 = 0. Calculate l.
-3171, 2/5
Factor 2*k**3/3 + 14*k**2/3.
2*k**2*(k + 7)/3
Factor r**3/9 - 14*r**2/9 - r/9 + 14/9.
(r - 14)*(r - 1)*(r + 1)/9
Solve 4*p**3 - 12*p**2 - 420*p - 1300 = 0.
-5, 13
Factor -2*q**2/5 - 24*q/5.
-2*q*(q + 12)/5
Determine l so that -l**3/8 - 23*l**2/2 - 425*l/2 + 2500 = 0.
-50, 8
Solve -3*z**3/2 + 10*z**2/3 + 23*z/6 - 1 = 0.
-1, 2/9, 3
Find f such that 20535*f**3 - 50727*f**2 + 12585*f - 825 = 0.
5/37, 11/5
Solve -4194*r**2/5 - 282*r - 4/5 = 0 for r.
-1/3, -2/699
Let 2*w**3 + 756*w**2 - 1518*w + 760 = 0. What is w?
-380, 1
Factor -2*s**4/3 + 20*s**3/3 - 56*s**2/3 + 16*s.
-2*s*(s - 6)*(s - 2)**2/3
Factor 3*a**4/7 + 285*a**3/7 + 561*a**2/7 + 279*a/7.
3*a*(a + 1)**2*(a + 93)/7
What is q in -2*q**5/3 + 20*q**4/3 - 14*q**3 - 56*q**2/3 + 104*q/3 + 32 = 0?
-1, 2, 4, 6
Let -648*q**4/7 - 774*q**3/7 - 86*q**2/7 + 48*q/7 + 8/7 = 0. Calculate q.
-1, -2/9, 1/4
Factor 3*u**5/7 - 15*u**4/7 + 12*u**3/7.
3*u**3*(u - 4)*(u - 1)/7
Suppose -4*k**4 - 5*k**3 + 15*k**2 + 20*k + 4 = 0. What is k?
-2, -1, -1/4, 2
What is m in -5*m**2 + 10*m + 40 = 0?
-2, 4
Solve -4*a**3 + 8*a**2 + 16*a - 32 = 0.
-2, 2
What is u in -2*u**5 - 2*u**4 + 15*u**3/2 + 8*u**2 + 2*u = 0?
-2, -1/2, 0, 2
Determine r, given that -r**2/3 + 112*r/3 - 109 = 0.
3, 109
Suppose -5*y**2 - 5*y + 60 = 0. Calculate y.
-4, 3
Find y, given that -y**5/2 + 88*y**4 - 3958*y**3 + 7481*y**2 + 7917*y/2 - 7569 = 0.
-1, 1, 2, 87
Solve -3*t**5 - 18*t**4 - 24*t**3 + 18*t**2 + 27*t = 0.
-3, -1, 0, 1
Factor k**3/5 - 4*k**2 + 37*k/5 - 18/5.
(k - 18)*(k - 1)**2/5
Suppose 5*s**2 + 70*s - 160 = 0. Calculate s.
-16, 2
Factor 2*j**2/5 - 3*j + 13/5.
(j - 1)*(2*j - 13)/5
Factor k**3/5 - 507*k**2/5 + 64008*k/5 + 64516/5.
(k - 254)**2*(k + 1)/5
Let -2*d**2/5 + 1144*d/5 - 1142/5 = 0. What is d?
1, 571
Solve -17*g**5 - 66*g**4 - 43*g**3 + 74*g**2 + 60*g - 8 = 0.
-2, -1, 2/17, 1
Factor -3*r**2 + 648*r - 34992.
-3*(r - 108)**2
Determine i, given that -5*i**4 + 20*i**3 - 15*i**2 - 20*i + 20 = 0.
-1, 1, 2
Let -3*v**2 - 2766*v - 637563 = 0. Calculate v.
-461
Factor 2*m**4/7 - 58*m**3/7 - 2*m**2/7 + 58*m/7.
2*m*(m - 29)*(m - 1)*(m + 1)/7
Factor -3*w**5 - 6*w**4 + 27*w**3 + 66*w**2 - 12*w - 72.
-3*(w - 3)*(w - 1)*(w + 2)**3
Let 4*v**2/5 - 24*v/5 + 32/5 = 0. Calculate v.
2, 4
Factor -w**2/7 + 230*w/7 - 13225/7.
-(w - 115)**2/7
Solve 3*t**3/8 - 9*t**2/4 + 9*t/2 - 3 = 0.
2
Find z, given that 12*z**5 + 296*z**4 + 648*z**3 - 18416*z**2 - 31380*z - 12600 = 0.
-15, -1, -2/3, 7
Factor -2*z**4 + 30*z**3 - 154*z**2 + 330*z - 252.
-2*(z - 7)*(z - 3)**2*(z - 2)
Let 5*v**3 + 75*v**2 - 5*v - 75 = 0. Calculate v.
-15, -1, 1
Factor -5*w**3 + 395*w**2 + 825*w - 1215.
-5*(w - 81)*(w - 1)*(w + 3)
Determine u, given that -16*u**4 - 224*u**3 - 404*u**2 - 244*u - 48 = 0.
-12, -1, -1/2
Factor b**3 + 29*b**2 + 220*b + 192.
(b + 1)*(b + 12)*(b + 16)
Factor -2*f**4 - 42*f**3 - 174*f**2 - 230*f - 96.
-2*(f + 1)**2*(f + 3)*(f + 16)
Fact