t d**3/2 + 169*d**2/2 - 341*d/2 + 171/2 = 0.
-171, 1
Determine z, given that -z**3 - 632*z**2 + 1267*z - 634 = 0.
-634, 1
Determine o, given that -12*o**4 - 159*o**3/2 - 201*o**2/2 - 21*o/2 + 45/2 = 0.
-5, -1, 3/8
Solve 5*b**4 + 25*b**3 + 45*b**2 + 35*b + 10 = 0 for b.
-2, -1
Factor -3*q**3/2 - 222*q**2 - 7752*q + 34656.
-3*(q - 4)*(q + 76)**2/2
Suppose -b**5 - 77*b**4/10 + 27*b**3/5 + 211*b**2/10 - 113*b/5 + 24/5 = 0. Calculate b.
-8, -2, 3/10, 1
Solve -6*s**5 + 33*s**4/7 + 57*s**3/7 - 39*s**2/7 - 15*s/7 + 6/7 = 0 for s.
-1, -1/2, 2/7, 1
Let 4*o**2 + 188*o/7 - 8 = 0. What is o?
-7, 2/7
Factor 4*r**5 - 16*r**4 - 24*r**3 + 16*r**2 + 20*r.
4*r*(r - 5)*(r - 1)*(r + 1)**2
Determine m, given that m**2/5 + 21*m/5 - 26 = 0.
-26, 5
Let 16*o**3 - 600*o**2 + 1953*o - 1666 = 0. Calculate o.
7/4, 34
Factor -4*x**3 + 480*x**2 + 1492*x - 1968.
-4*(x - 123)*(x - 1)*(x + 4)
Factor -w**4/4 + 33*w**3/4 + 35*w**2/4 - 33*w/4 - 17/2.
-(w - 34)*(w - 1)*(w + 1)**2/4
Suppose f**4/8 - 5*f**2/8 + 1/2 = 0. What is f?
-2, -1, 1, 2
Determine d so that 98*d**4/23 + 1820*d**3/23 + 1016*d**2/23 + 144*d/23 = 0.
-18, -2/7, 0
Factor -4*a**3/9 - 40*a**2/9 - 32*a/3.
-4*a*(a + 4)*(a + 6)/9
Determine h so that 2*h**2/11 + 16*h/11 - 6 = 0.
-11, 3
Solve -u**2 - 3945*u - 3944 = 0.
-3944, -1
Factor 2*k**3/19 - 376*k**2/19 - 1146*k/19.
2*k*(k - 191)*(k + 3)/19
Let -2*a**2 - 304*a - 11552 = 0. Calculate a.
-76
Factor -m**5/2 - m**4 + m**2 + m/2.
-m*(m - 1)*(m + 1)**3/2
What is s in -5*s**4 - 1215*s**3 - 1210*s**2 = 0?
-242, -1, 0
Factor -o**3 + 28*o**2 + 91*o + 62.
-(o - 31)*(o + 1)*(o + 2)
Factor 4*w**5 - 16*w**4 + 20*w**3 - 8*w**2.
4*w**2*(w - 2)*(w - 1)**2
Factor 4*y**3 - 136*y**2 - 1380*y + 1512.
4*(y - 42)*(y - 1)*(y + 9)
Determine g so that 1936*g**2 - 176*g/3 + 4/9 = 0.
1/66
Let -14*p**2/9 + 556*p/9 + 160/9 = 0. Calculate p.
-2/7, 40
Factor 5*l**4/3 + 140*l**3/3 + 125*l**2.
5*l**2*(l + 3)*(l + 25)/3
Let 5*s**4 - 1410*s**3 + 135240*s**2 - 4655200*s + 23360640 = 0. Calculate s.
6, 92
Let -4*r**3 - 820*r**2 + 824*r = 0. What is r?
-206, 0, 1
Find d, given that -d**5/9 + 107*d**4/9 - 2807*d**3/9 - 3023*d**2/9 + 312*d + 324 = 0.
-1, 1, 54
Factor 6*a**2/11 - 2460*a/11.
6*a*(a - 410)/11
Find m such that m**4/4 - 1193*m**3 + 3794535*m**2/2 - 1004918557*m - 4027268071/4 = 0.
-1, 1591
Solve -4*f**3 + 844*f**2 + 3440*f = 0 for f.
-4, 0, 215
Let -k**2/11 + 748*k - 1538636 = 0. What is k?
4114
Find t such that -65*t**2 + 4560*t - 700 = 0.
2/13, 70
Let f**3/4 + 17*f**2/4 + 14*f + 13 = 0. Calculate f.
-13, -2
Factor d**4 - 4*d**3 - 12*d**2.
d**2*(d - 6)*(d + 2)
Factor 4*t**4 + 64*t**3 - 304*t**2 + 320*t.
4*t*(t - 2)**2*(t + 20)
Solve -4*n**4 - 28*n**3 + 12*n**2 + 92*n + 56 = 0 for n.
-7, -1, 2
Suppose -2*n**2/7 + 108*n/7 - 1458/7 = 0. Calculate n.
27
Factor 2*v**2/13 + 214*v/13 + 824/13.
2*(v + 4)*(v + 103)/13
Solve 4*b**4 - 292*b**3 + 5180*b**2 + 5476*b = 0 for b.
-1, 0, 37
Suppose 3*f**5 - 12*f**4 - 45*f**3 + 42*f**2 + 84*f - 72 = 0. Calculate f.
-2, 1, 6
Suppose -2*i**4/11 - 448*i**3/11 - 23708*i**2/11 + 154560*i/11 - 238050/11 = 0. Calculate i.
-115, 3
Factor 4*q**3/7 - 2720*q**2/7 + 8132*q/7 - 5416/7.
4*(q - 677)*(q - 2)*(q - 1)/7
Determine b so that 2*b**2/3 + 8980*b/3 + 8978/3 = 0.
-4489, -1
Determine k so that -4*k**5 - 236*k**4 - 3100*k**3 + 11516*k**2 - 992*k - 15376 = 0.
-31, -1, 2
Factor 2*i**3 + 234*i**2.
2*i**2*(i + 117)
Factor -4*z**4 + 16*z**3 + 204*z**2 + 344*z + 160.
-4*(z - 10)*(z + 1)**2*(z + 4)
Factor 10*n**4/7 - 6*n**3/7 - 4*n**2/7.
2*n**2*(n - 1)*(5*n + 2)/7
Suppose -m**4/6 + 28*m**3/3 + 121*m**2/2 + 93*m = 0. What is m?
-3, 0, 62
Suppose -2*n**4/5 + 54*n**3/5 + 12*n**2 - 112*n/5 = 0. Calculate n.
-2, 0, 1, 28
Solve 2*c**2/11 + 70*c/11 - 312/11 = 0.
-39, 4
Factor c**4/3 + 20*c**3/3 + 31*c**2 + 130*c/3 + 56/3.
(c + 1)**2*(c + 4)*(c + 14)/3
Suppose -3*n**3/4 + 18*n**2 - 177*n/4 - 315 = 0. What is n?
-3, 7, 20
Solve -5*f**2/4 - 75*f/4 - 65/2 = 0 for f.
-13, -2
Factor 4*t**4 - 60*t**3 + 152*t**2 - 96*t.
4*t*(t - 12)*(t - 2)*(t - 1)
Let 3*b**2/2 + 12*b + 45/2 = 0. What is b?
-5, -3
Factor -2*j**3 - 46*j**2 - 320*j - 600.
-2*(j + 3)*(j + 10)**2
Find p, given that 4*p**3/5 - 52*p**2/5 - 24*p = 0.
-2, 0, 15
Factor n**3/7 - 31*n**2/7 - 34*n/7 + 64/7.
(n - 32)*(n - 1)*(n + 2)/7
Factor -5*h**2 + 40*h + 45.
-5*(h - 9)*(h + 1)
Suppose -5*u**2 + 280*u - 3920 = 0. Calculate u.
28
Find u such that u**3/5 - 306*u**2/5 + 1212*u/5 - 1208/5 = 0.
2, 302
Find z, given that 4*z**5 - 40*z**4 + 60*z**3 + 40*z**2 - 64*z = 0.
-1, 0, 1, 2, 8
Let a**4/2 - 9*a**3/2 + a**2/2 + 81*a/2 + 35 = 0. Calculate a.
-2, -1, 5, 7
Solve -5*d**3 - 115*d**2 - 215*d - 105 = 0 for d.
-21, -1
Factor -2*y**5 + 12*y**4 + 72*y**3 + 80*y**2.
-2*y**2*(y - 10)*(y + 2)**2
Factor -5*d**5 - 120*d**4 + 995*d**3 - 2690*d**2 + 3060*d - 1240.
-5*(d - 2)**3*(d - 1)*(d + 31)
Factor 2*a**2 - 76*a.
2*a*(a - 38)
Let 3*c**3 - 234*c**2 - 3*c + 234 = 0. What is c?
-1, 1, 78
Factor -4*x**3 + 3560*x**2 + 10708*x + 7144.
-4*(x - 893)*(x + 1)*(x + 2)
Factor 2*z**3/13 - 160*z**2/13 + 3706*z/13 - 26588/13.
2*(z - 46)*(z - 17)**2/13
What is d in d**2 - 1054*d + 277729 = 0?
527
Factor 16*o**3 - 450*o**2 - 408*o + 58.
2*(o - 29)*(o + 1)*(8*o - 1)
Factor r**5 - 6*r**4 + 3*r**3 + 10*r**2.
r**2*(r - 5)*(r - 2)*(r + 1)
Determine v so that 16*v**3/9 - 2*v**2/9 - 64*v/9 + 8/9 = 0.
-2, 1/8, 2
Factor -3*r**2 - 36*r.
-3*r*(r + 12)
Factor -u**4 - 69*u**3 - 1155*u**2 + 1225*u.
-u*(u - 1)*(u + 35)**2
Determine z, given that -2*z**5 - 4*z**4 + 4*z**2 + 2*z = 0.
-1, 0, 1
Factor b**2/6 - 1397*b/6 - 233.
(b - 1398)*(b + 1)/6
Determine o, given that -8*o**4/7 - 386*o**3/7 + 296*o**2/7 + 14*o = 0.
-49, -1/4, 0, 1
Factor 4*n**3 + 60*n**2 - 132*n + 68.
4*(n - 1)**2*(n + 17)
Find x, given that -3*x**2/7 - 6*x/7 + 24/7 = 0.
-4, 2
Find b, given that -b**3/5 - 2*b**2/5 + 9*b/5 + 18/5 = 0.
-3, -2, 3
Factor 4*w**2 + 36*w - 40.
4*(w - 1)*(w + 10)
Determine y, given that 9*y**5 + 21*y**4 - 45*y**3 - 81*y**2 + 12*y + 36 = 0.
-3, -1, 2/3, 2
Determine d, given that -3*d**4 - 93*d**3 - 177*d**2 - 87*d = 0.
-29, -1, 0
Let 14*q**3 + 34*q**2 - 80*q + 32 = 0. Calculate q.
-4, 4/7, 1
Let 4*q**3/3 + 580*q**2/3 - 4832*q/3 + 3264 = 0. Calculate q.
-153, 4
Solve l**3/3 - 35*l**2/3 + 403*l/3 - 507 = 0.
9, 13
Factor -3*r**5 - 57*r**4 - 210*r**3.
-3*r**3*(r + 5)*(r + 14)
What is z in -z**5 - 5*z**4 + 22*z**3 - 16*z**2 = 0?
-8, 0, 1, 2
Find t such that t**5 - 80*t**4 + 2184*t**3 - 21632*t**2 + 35152*t = 0.
0, 2, 26
Factor -2*p**5/3 - 68*p**4/3 - 752*p**3/3 - 3040*p**2/3 - 5152*p/3 - 3136/3.
-2*(p + 2)**3*(p + 14)**2/3
Factor g**3/9 - 17*g**2/9 + 10*g/3.
g*(g - 15)*(g - 2)/9
Factor -2*r**2/9 + 968/9.
-2*(r - 22)*(r + 22)/9
What is l in -l**3/6 - 267*l**2/2 - 71289*l/2 - 6344721/2 = 0?
-267
Determine n so that -2*n**3/7 + 6*n**2/7 + 2*n/7 - 6/7 = 0.
-1, 1, 3
Solve -3*s**5 - 81*s**4 - 153*s**3 - 75*s**2 = 0 for s.
-25, -1, 0
Solve 4*r**5/7 + 296*r**4/7 - 288*r**3 - 1112*r**2 - 8356*r/7 - 2880/7 = 0 for r.
-80, -1, 9
Factor 5*a**5 - 75*a**4 + 400*a**3 - 800*a**2 + 1280.
5*(a - 4)**4*(a + 1)
Let s**4/2 - 249*s**3/2 - 125*s**2 = 0. Calculate s.
-1, 0, 250
Factor y**3 - 798*y**2 + 212268*y - 18821096.
(y - 266)**3
Factor k**5 + 10*k**4 - 3*k**3 - 140*k**2 + 196*k.
k*(k - 2)**2*(k + 7)**2
Factor -22*h**2 - 158*h - 28.
-2*(h + 7)*(11*h + 2)
Factor -x**4/6 - x**3/3 + x**2/2 + 4*x/3 + 2/3.
-(x - 2)*(x + 1)**2*(x + 2)/6
Determine h, given that -7*h**4/4 + 11*h**3/2 - 3*h**2/4 = 0.
0, 1/7, 3
Solve -9*f**3 + 30*f**2 - 12*f - 24 = 0.
-2/3, 2
Factor 6*w**5 + 105*w**4 + 681*w**3 + 1965*w**2 + 2325*w + 750.
3*(w + 2)*(w + 5)**3*(2*w + 1)
Suppose -w**3 + 137*w**2 + 277*w + 139 = 0. Calculate w.
-1, 139
Let -2*h**3/7 + 82*h**2/7 + 172*h/7 = 0. What is h?
-2, 0, 43
Let -i**4/4 - i**3/4 + 9*i**2/4 + 9*i/4 = 0. What is i?
-3, -1, 0, 3
Find n such that 5*n**2 - 500*n + 980 = 0.
2, 98
Suppose -7*x**5 - 32*x**4 - 13*x**3 + 12*x**2 = 0. Calculate x.
-4, -1, 0, 3/7
Factor 4*v**2 - 48*v.
4*v*(v - 12)
Solve x**3 - 6*x**2 - 9*x + 14 = 0.
-2, 1, 7
Factor -5*h**3/6 + 520*h**2/3 - 2065*h/6 + 515/3.
-5*(h - 206)*(h - 1)**2/6
Let -8*x**5 + 48*x**4 - 86*x**3 + 36*x**2 + 22*x - 12 = 0. Calculate x.
-1/2, 1/2, 1, 2, 3
Factor -q**3 + 106*q**2 - 2700*q - 5832.
-(q - 54)**2*(q + 2)
Let 3*k**5/5 + 12*k**4/5 - 12*k**3/5 - 48*k**2/5