**3/2 - 5*q**2/2 + 3*q/2.
q*(q - 1)**2*(q + 3)/2
Suppose 5*t**4/2 + 75*t**3/2 + 325*t**2/2 + 525*t/2 + 135 = 0. Calculate t.
-9, -3, -2, -1
Determine m, given that 3*m**5/2 + 51*m**4/2 + 39*m**3/2 - 147*m**2/2 - 21*m + 48 = 0.
-16, -2, -1, 1
Suppose -9*a**3/2 + a**2 + 9*a/2 - 1 = 0. What is a?
-1, 2/9, 1
Let -7*h**3/3 + 29*h**2/3 - 22*h/3 = 0. Calculate h.
0, 1, 22/7
Factor -2*p**3/21 - 8*p**2/21 - 8*p/21.
-2*p*(p + 2)**2/21
Determine h so that 4*h**2/7 - 116*h/7 + 480/7 = 0.
5, 24
Factor -2*c**2/7 - 436*c/7 - 23762/7.
-2*(c + 109)**2/7
Factor -v**5/3 - 2*v**4/3 + 20*v**3/3 + 8*v**2/3 - 128*v/3 + 128/3.
-(v - 2)**3*(v + 4)**2/3
Suppose -2*g**2/7 + 40*g/7 - 102/7 = 0. What is g?
3, 17
Factor -2*m**3/11 - 124*m**2/11 - 2322*m/11 - 11664/11.
-2*(m + 8)*(m + 27)**2/11
Find c, given that -c**3 - 1321*c**2 - 435599*c + 436921 = 0.
-661, 1
Factor 5*n**4 - 220*n**3 - 230*n**2 + 220*n + 225.
5*(n - 45)*(n - 1)*(n + 1)**2
Let 3*f**2 + 3*f - 918 = 0. Calculate f.
-18, 17
Factor -4*d**2 + 336*d - 7056.
-4*(d - 42)**2
What is t in 44*t**2/3 - 1112*t - 608/3 = 0?
-2/11, 76
Factor -2*l**5/7 - 36*l**4/7 - 64*l**3/7.
-2*l**3*(l + 2)*(l + 16)/7
Factor l**3 + 31*l**2 + 143*l - 175.
(l - 1)*(l + 7)*(l + 25)
Solve 4*v**2 + 300*v + 296 = 0.
-74, -1
Solve -4*w**5 - 47*w**4 + 12*w**3 + 1024*w**2 - 256*w = 0 for w.
-8, 0, 1/4, 4
Factor 3*n**4 + 18*n**3 + 9*n**2 - 30*n.
3*n*(n - 1)*(n + 2)*(n + 5)
Determine c so that 2*c**4/5 + 4*c**3 + 48*c**2/5 - 4*c - 10 = 0.
-5, -1, 1
Solve g**4/5 + 8*g**3/5 - 43*g**2/5 + 58*g/5 - 24/5 = 0.
-12, 1, 2
Factor -42*f**4 - 164*f**3 + 16*f**2.
-2*f**2*(f + 4)*(21*f - 2)
Factor 4*t**3 + 48*t**2 + 36*t - 88.
4*(t - 1)*(t + 2)*(t + 11)
Suppose 4*k**5/7 - 276*k**4/7 = 0. Calculate k.
0, 69
Factor 2*v**3 - 46*v**2 - 8*v + 184.
2*(v - 23)*(v - 2)*(v + 2)
Let -b**4/6 + 5*b**3/6 + 3*b**2 - 10*b/3 - 28/3 = 0. Calculate b.
-2, 2, 7
Let -3*h**5 - 7*h**4/3 + 83*h**3/3 - 39*h**2 + 58*h/3 - 8/3 = 0. Calculate h.
-4, 2/9, 1
Solve 16*j**3/15 - 266*j**2/15 - 34*j/5 = 0.
-3/8, 0, 17
Determine a so that -15*a**5 + 192*a**4 - 681*a**3 + 396*a**2 + 108*a = 0.
-1/5, 0, 1, 6
Find t such that t**3/6 + 41*t**2/3 - 85*t/6 - 83/3 = 0.
-83, -1, 2
Find p, given that -3*p**4 + 45*p**3 + 123*p**2 - 3069*p + 2904 = 0.
-8, 1, 11
Factor -2*l**2/15 - 68*l/5 - 194/3.
-2*(l + 5)*(l + 97)/15
Determine s, given that s**4/4 + 49*s**3/4 - 39*s**2 = 0.
-52, 0, 3
Find x such that 5*x**4/6 + 55*x**3/3 - 10*x**2/3 - 220*x/3 = 0.
-22, -2, 0, 2
Factor -5*v**3 - 25*v**2 + 70*v.
-5*v*(v - 2)*(v + 7)
Factor 2*z**4 - 8*z**3 - 120*z**2.
2*z**2*(z - 10)*(z + 6)
Solve -54*p**5/5 - 328*p**4/5 - 102*p**3 - 252*p**2/5 - 16*p/5 = 0 for p.
-4, -1, -2/27, 0
What is o in -o**2/2 + 288 = 0?
-24, 24
Factor -5*s**3 - 35*s**2 + 280*s + 660.
-5*(s - 6)*(s + 2)*(s + 11)
Factor -4*s**4/7 - 44*s**3 - 304*s**2/7.
-4*s**2*(s + 1)*(s + 76)/7
Suppose 4*u**4 + 344*u**3 + 7728*u**2 + 14112*u = 0. What is u?
-42, -2, 0
Suppose -i**2 - 60*i - 900 = 0. Calculate i.
-30
Find q such that q**5 + 11*q**4 + 38*q**3 + 52*q**2 + 24*q = 0.
-6, -2, -1, 0
Find d such that 2*d**2 + 710*d + 4872 = 0.
-348, -7
Factor -2*q**2/5 - 924*q/5 - 106722/5.
-2*(q + 231)**2/5
Suppose 3*a**4/7 + 669*a**3/7 + 3942*a**2/7 + 7836*a/7 + 744 = 0. Calculate a.
-217, -2
Suppose y**3 - 4*y**2 - 11*y + 30 = 0. Calculate y.
-3, 2, 5
Factor 3*l**3/7 - 45*l**2/7 - 54*l/7 + 96/7.
3*(l - 16)*(l - 1)*(l + 2)/7
Factor -i**5/4 + 13*i**4/4 - 15*i**3 + 28*i**2 - 16*i.
-i*(i - 4)**3*(i - 1)/4
Determine l so that 15*l**3 + 177*l**2 - 48*l - 4032 = 0.
-8, 21/5
Let -2*v**5 + 67*v**4/7 - 102*v**3/7 + 52*v**2/7 - 8*v/7 = 0. What is v?
0, 2/7, 1/2, 2
Factor s**3/4 + 25*s**2/4 + 42*s + 36.
(s + 1)*(s + 12)**2/4
Factor 72*t**3 - 268*t**2 + 164*t - 24.
4*(t - 3)*(2*t - 1)*(9*t - 2)
Let x**5 + 6*x**4 + 6*x**3 - 20*x**2 - 39*x - 18 = 0. What is x?
-3, -1, 2
What is r in -3*r**5/10 + 53*r**4/10 - 111*r**3/5 - 67*r**2/5 + 45*r/2 + 81/10 = 0?
-1, -1/3, 1, 9
Find g, given that 42*g**3 - 928*g**2 - 1928*g + 192 = 0.
-2, 2/21, 24
Let v**5/7 + 3*v**4/7 - v**3 - 11*v**2/7 + 6*v/7 + 8/7 = 0. Calculate v.
-4, -1, 1, 2
Factor 364*y**2 - 2540*y - 56.
4*(y - 7)*(91*y + 2)
Factor 5*o**4 - 160*o**3 - 4095*o**2 - 20250*o.
5*o*(o - 50)*(o + 9)**2
Factor 2*k**4 - 59*k**3 + 587*k**2 - 2061*k + 891.
(k - 11)*(k - 9)**2*(2*k - 1)
Find h such that -5*h**4 + 170*h**3 - 605*h**2 - 14280*h - 35280 = 0.
-4, 21
Factor 4*o**3/5 - 197*o**2/5 + 601*o/5 - 138/5.
(o - 46)*(o - 3)*(4*o - 1)/5
Determine i, given that i**2/5 - 53*i/5 + 52/5 = 0.
1, 52
Factor 4*b**3 + 40*b**2.
4*b**2*(b + 10)
Let w**3 + 28*w**2 - 1664*w + 15360 = 0. What is w?
-60, 16
Factor d**3/11 - 5*d**2/11 + 2*d/11 + 8/11.
(d - 4)*(d - 2)*(d + 1)/11
Factor j**5/4 - 9*j**4/4 + 23*j**3/4 - 3*j**2/4 - 9*j.
j*(j - 4)*(j - 3)**2*(j + 1)/4
Factor 2*k**3 + 16*k**2 - 8*k - 64.
2*(k - 2)*(k + 2)*(k + 8)
Find r such that 2*r**4/23 + 144*r**3/23 + 686*r**2/23 + 1080*r/23 + 536/23 = 0.
-67, -2, -1
Determine z so that 54*z**2 + 754*z - 28 = 0.
-14, 1/27
Factor -b**4/6 + 4*b**3/3 + b**2/2 - 11*b/3 - 8/3.
-(b - 8)*(b - 2)*(b + 1)**2/6
Factor 2*o**5 - 62*o**3 + 60*o**2.
2*o**2*(o - 5)*(o - 1)*(o + 6)
Suppose -h**4/8 - 17*h**3/8 - 39*h**2/4 - 8*h + 20 = 0. What is h?
-10, -4, 1
Factor k**3 - 23*k**2/3 - 418*k/3 + 96.
(k - 16)*(k + 9)*(3*k - 2)/3
Solve 21*t**5/2 + 61*t**4/2 + 21*t**3 + 4*t**2 = 0.
-2, -4/7, -1/3, 0
Determine g so that -44*g**2 - 3396*g - 616 = 0.
-77, -2/11
Factor 147*c**3 + 9*c**2 - 147*c - 9.
3*(c - 1)*(c + 1)*(49*c + 3)
Factor 10*o**2/9 + 32*o/3 - 232/9.
2*(o - 2)*(5*o + 58)/9
Factor 2*a**3/7 - 148*a**2/7 + 702*a/7 - 828/7.
2*(a - 69)*(a - 3)*(a - 2)/7
Suppose 5*b**3 - 40*b**2 - 95*b - 50 = 0. Calculate b.
-1, 10
Let -t**3/4 + 9*t**2/4 - 23*t/4 + 15/4 = 0. What is t?
1, 3, 5
Factor -28*s**2/5 + 12384*s/5 - 3536/5.
-4*(s - 442)*(7*s - 2)/5
Factor -4*x**4 - 18*x**3 - 8*x**2 + 30*x.
-2*x*(x - 1)*(x + 3)*(2*x + 5)
Factor -2*r**4/19 + 22*r**3/19 + 84*r**2/19.
-2*r**2*(r - 14)*(r + 3)/19
Find p such that p**5/6 + p**4 + 5*p**3/6 - 2*p**2 = 0.
-4, -3, 0, 1
Factor 3*q**3/5 + 12*q**2 + 204*q/5 + 192/5.
3*(q + 2)**2*(q + 16)/5
Solve -3*g**3 - 33*g**2 - 105*g - 75 = 0.
-5, -1
Suppose -2*h**4/9 - 4*h**3/3 - 14*h**2/9 + 4*h/3 + 16/9 = 0. What is h?
-4, -2, -1, 1
Determine w so that -10658*w**5/7 - 74314*w**4/7 - 115196*w**3/7 - 7156*w**2 + 1438*w/7 - 10/7 = 0.
-5, -1, 1/73
Determine m so that -2*m**4/17 - 42*m**3/17 - 144*m**2/17 - 8*m = 0.
-17, -2, 0
Solve -7*k**3 + 4944*k**2 - 873675*k + 249218 = 0 for k.
2/7, 353
Let 2*k**4 - 20*k**3 - 62*k**2 + 176*k - 96 = 0. What is k?
-4, 1, 12
Suppose 2*u**5 + 30*u**4 - 38*u**3 - 94*u**2 + 36*u + 64 = 0. What is u?
-16, -1, 1, 2
Factor 4*r**3 - 4764*r**2 + 1891308*r - 250283092.
4*(r - 397)**3
Let -c**4 - 358*c**3 + c**2 + 358*c = 0. What is c?
-358, -1, 0, 1
Factor -k**4/7 - 9*k**3/7 - k**2 + 9*k/7 + 8/7.
-(k - 1)*(k + 1)**2*(k + 8)/7
Factor 68*t**4 + 212*t**3 + 160*t**2 + 16*t.
4*t*(t + 1)*(t + 2)*(17*t + 2)
Factor 5*c**4 + 5*c**3 - 320*c**2 - 320*c.
5*c*(c - 8)*(c + 1)*(c + 8)
Determine f so that -f**5/2 + 37*f**4/2 - 52*f**3 + 34*f**2 = 0.
0, 1, 2, 34
Suppose -2*f**4/13 + 12*f**2/13 - 16*f/13 + 6/13 = 0. Calculate f.
-3, 1
Factor o**2/11 - 9/11.
(o - 3)*(o + 3)/11
Solve 4*n**2/3 + 480*n - 1444/3 = 0.
-361, 1
Factor -3*b**3 - 192*b**2 - 1596*b + 51984.
-3*(b - 12)*(b + 38)**2
Determine z so that 5*z**3 + 46*z**2 + 65*z - 84 = 0.
-7, -3, 4/5
Determine c so that -4*c**3 - 48*c**2 - 44*c = 0.
-11, -1, 0
Suppose 5*w**2 + 4270*w + 4265 = 0. What is w?
-853, -1
Solve 45*j**3 - 2055*j**2 + 1355*j - 225 = 0 for j.
1/3, 45
Solve -f**2/4 + 53*f/4 - 13 = 0.
1, 52
Let 9*b**5/7 - 6*b**4/7 - 11*b**3/7 + 4*b**2/7 + 4*b/7 = 0. Calculate b.
-2/3, 0, 1
Solve 5*a**2 + 150*a + 145 = 0 for a.
-29, -1
Factor 2*n**3/11 - 8586*n**2/11 + 8584*n/11.
2*n*(n - 4292)*(n - 1)/11
Suppose -2*l**2/9 + 32*l/9 + 280/3 = 0. Calculate l.
-14, 30
Let -2*d**5 + 7*d**4 + 5*d**3 - 4*d**2 = 0. What is d?
-1, 0, 1/2, 4
Factor i**4/4 + 21*i**3/4 - 75*i**2/2 + 79*i - 54.
(i - 2)**3*(i + 27)/4
Factor -76*r**2 + 146*r + 12.
-2*(r - 2)*(38*r + 3)
Factor l**4/3 + 511*l**3/3 + 21503*l**2 - 197119*l/3 + 132098/3.
(l - 2)*(l - 1)*(l + 257)**2/3
Factor 3*n**2/5 - 87*n/5 - 18.
3*(n - 30)*(n + 1)/5
Factor -2*v**3 + 430*v**2 + 1746*v + 1314.
-2*(v 