
Let -k**5/4 - 12*k**4 - 263*k**3/2 + 12*k**2 + 527*k/4 = 0. Calculate k.
-31, -17, -1, 0, 1
Factor -k**5 - 14*k**4 + 23*k**3 + 808*k**2 + 320*k - 12800.
-(k - 5)**2*(k + 8)**3
Determine j, given that j**3/2 + 678*j**2 + 461037*j/2 + 458329 = 0.
-677, -2
Factor 3*r**3/5 + 24*r**2/5 + 36*r/5.
3*r*(r + 2)*(r + 6)/5
What is w in 6*w**5 - 33*w**4 + 36*w**3 + 3*w**2 - 12*w = 0?
-1/2, 0, 1, 4
Factor -3*y**2/8 + 507*y/4 - 85683/8.
-3*(y - 169)**2/8
Factor -4*i**2 - 131*i + 33.
-(i + 33)*(4*i - 1)
Factor 2*f**5/11 - 46*f**4/11 + 272*f**3/11 - 480*f**2/11.
2*f**2*(f - 15)*(f - 4)**2/11
Find p, given that -3*p**3/5 + 117*p**2/5 + 24*p = 0.
-1, 0, 40
Factor -2*t**3/19 + 26*t**2/19 + 96*t/19.
-2*t*(t - 16)*(t + 3)/19
Find b such that -15*b**3/4 - 9*b**2 - 3*b = 0.
-2, -2/5, 0
Solve 2*z**2/7 - 46*z/7 + 180/7 = 0.
5, 18
Solve l**3/3 + 161*l**2/3 + 106*l = 0.
-159, -2, 0
Let -4*g**3 - 272*g**2 - 780*g = 0. Calculate g.
-65, -3, 0
Factor 3*j**5 + 1248*j**4 + 129792*j**3.
3*j**3*(j + 208)**2
Factor 2*i**3/3 - 296*i**2 + 32558*i + 198916/3.
2*(i - 223)**2*(i + 2)/3
Let -i**2/3 - 1450*i - 1576875 = 0. Calculate i.
-2175
Factor -m**3 + 8*m**2 + 240*m - 2304.
-(m - 12)**2*(m + 16)
Factor -2*q**2 - 336*q - 990.
-2*(q + 3)*(q + 165)
Find c such that c**3/3 - 2*c**2/3 - c/3 + 2/3 = 0.
-1, 1, 2
Factor v**2/3 + 10*v + 209/3.
(v + 11)*(v + 19)/3
Factor f**5/3 + 8*f**4/3 - 104*f**3/3 + 352*f**2/3 - 496*f/3 + 256/3.
(f - 2)**4*(f + 16)/3
Suppose -4*t**4/7 - 128*t**3/7 - 1308*t**2/7 - 3744*t/7 + 5184/7 = 0. Calculate t.
-12, -9, 1
Factor -2*h**2/7 - 1796*h/7 - 403202/7.
-2*(h + 449)**2/7
Let z**5/4 + 139*z**4/4 + 2309*z**3/2 - 7349*z**2/2 + 14981*z/4 - 5041/4 = 0. Calculate z.
-71, 1
Determine j so that 3*j**2 - 330*j - 1017 = 0.
-3, 113
Factor 3*i**3/8 - 27*i**2/8 - 3*i/8 + 27/8.
3*(i - 9)*(i - 1)*(i + 1)/8
What is w in -2*w**5 + 6*w**4 - 2*w**3 - 6*w**2 + 4*w = 0?
-1, 0, 1, 2
Suppose 2*r**5/9 + 44*r**4/9 - 2*r**3/3 - 128*r**2/9 + 88*r/9 = 0. Calculate r.
-22, -2, 0, 1
Solve 3*c**3/4 + 21*c**2/2 - 405*c/4 + 189 = 0.
-21, 3, 4
Factor 3*h**4 + 33*h**3 - 219*h**2 + 327*h - 144.
3*(h - 3)*(h - 1)**2*(h + 16)
Factor 2*u**3 - 72*u**2 - 74*u.
2*u*(u - 37)*(u + 1)
Let -2*b**2 + 15856*b - 31426592 = 0. Calculate b.
3964
Factor -8*x**3/7 - 34*x**2/7 + 160*x/7 + 6.
-2*(x - 3)*(x + 7)*(4*x + 1)/7
Suppose 2*a**5 - 120*a**4 - 500*a**3 - 760*a**2 - 510*a - 128 = 0. What is a?
-1, 64
Solve -4*o**5 + 32*o**4 + 84*o**3 - 32*o**2 - 80*o = 0.
-2, -1, 0, 1, 10
Solve -x**5/3 - 11*x**4/3 - 7*x**3/3 + 49*x**2 = 0.
-7, 0, 3
Factor j**5 - 14*j**4 + 67*j**3 - 146*j**2 + 148*j - 56.
(j - 7)*(j - 2)**3*(j - 1)
Factor -16*s**2 + 1076*s - 1320.
-4*(s - 66)*(4*s - 5)
Factor -2*c**3 - 16*c**2 - 42*c - 36.
-2*(c + 2)*(c + 3)**2
Factor 2*w**2/19 + 18*w/19 - 20/19.
2*(w - 1)*(w + 10)/19
Let -3*d**5 + 12*d**4 + 30*d**3 - 192*d**2 + 261*d - 108 = 0. What is d?
-4, 1, 3
Suppose -2*v**4/9 - 6322*v**3/9 = 0. Calculate v.
-3161, 0
Determine t so that -3*t**3/2 - 867*t**2/4 - 7884*t - 3888 = 0.
-72, -1/2
Let -n**2/10 - 348*n/5 - 60552/5 = 0. Calculate n.
-348
What is m in m**5/6 + 5*m**4/3 + 6*m**3 + 29*m**2/3 + 43*m/6 + 2 = 0?
-4, -3, -1
Solve 2*l**2 + 118*l + 440 = 0.
-55, -4
Factor k**3 + 7*k**2.
k**2*(k + 7)
Factor 3*i**2 - 450*i - 1848.
3*(i - 154)*(i + 4)
Suppose -1045*o**3 - 10*o**2 = 0. Calculate o.
-2/209, 0
Let -5*n**2 + 15810*n - 12497805 = 0. What is n?
1581
Factor -c**2/2 - 243*c - 59049/2.
-(c + 243)**2/2
Suppose -5*u**3 + 120*u**2 - 645*u + 850 = 0. Calculate u.
2, 5, 17
Suppose -2*w**3/3 - 4*w**2/3 + 16*w/3 = 0. What is w?
-4, 0, 2
Solve -3*z**2/4 - 87*z/4 - 21 = 0 for z.
-28, -1
What is s in -8*s**4/5 - 384*s**3/5 - 378*s**2/5 - 94*s/5 = 0?
-47, -1/2, 0
Factor -4*b**4 + 196*b**3 + 1080*b**2.
-4*b**2*(b - 54)*(b + 5)
Find n such that -15*n**5 + 711*n**4 + 438*n**3 - 288*n**2 = 0.
-1, 0, 2/5, 48
Find r, given that -24*r**5 - 52*r**4 + 304*r**3 - 188*r**2 - 40*r = 0.
-5, -1/6, 0, 1, 2
Let -12*a**3 + 64*a**2 + 132*a + 56 = 0. Calculate a.
-1, -2/3, 7
Determine z so that 2*z**3 - 16*z**2 + 34*z - 20 = 0.
1, 2, 5
Find s such that 5*s**5 + 100*s**4 - 15*s**3 - 310*s**2 - 200*s = 0.
-20, -1, 0, 2
Find c, given that c**4 - 4*c**3 + 3*c**2 + 4*c - 4 = 0.
-1, 1, 2
Factor 3*t**3/2 + 36*t**2 + 270*t + 600.
3*(t + 4)*(t + 10)**2/2
Let 5*y**5 - 3*y**4/2 - 14*y**3 - 6*y**2 = 0. What is y?
-6/5, -1/2, 0, 2
What is j in j**3 - j**2 - j + 1 = 0?
-1, 1
Solve -w**3 + 106*w**2 - 2912*w + 5408 = 0 for w.
2, 52
Factor b**2 - 2960*b.
b*(b - 2960)
Factor 6*s**5 - 112*s**4 + 376*s**3 - 352*s**2.
2*s**2*(s - 2)**2*(3*s - 44)
Solve -4*d**4 + 68*d**2 - 144*d + 80 = 0.
-5, 1, 2
Solve 3*q**2 + 1758*q + 8715 = 0.
-581, -5
Suppose 3*q**4/7 + 27*q**3/7 + 33*q**2/7 - 9*q = 0. Calculate q.
-7, -3, 0, 1
Solve -y**2/5 + 13*y/5 - 12/5 = 0.
1, 12
Factor 3*f**2 - 516*f - 519.
3*(f - 173)*(f + 1)
What is q in -q**2/3 - 10*q/3 - 7 = 0?
-7, -3
Find r such that -4*r**3/7 + 92*r**2/7 + 760*r/7 - 1856/7 = 0.
-8, 2, 29
What is n in -2*n**3 - 1892*n**2 - 449344*n - 891136 = 0?
-472, -2
Solve -q**3 - 3*q**2 + 118*q + 120 = 0 for q.
-12, -1, 10
Factor 36*f**3 + 28*f**2 - 80*f + 16.
4*(f - 1)*(f + 2)*(9*f - 2)
Determine h so that -36*h**4 - 77*h**3 + 26*h**2 + 77*h + 10 = 0.
-2, -1, -5/36, 1
Factor -l**4 - 26*l**3 - 141*l**2 + 364*l - 196.
-(l - 1)**2*(l + 14)**2
Let -2*z**4/3 + 38*z**3/3 + 40*z**2/3 = 0. Calculate z.
-1, 0, 20
Factor 4*u**2 - 44*u - 104.
4*(u - 13)*(u + 2)
Find f such that -2*f**4/5 + 42*f**3/5 - 54*f**2 + 702*f/5 - 648/5 = 0.
3, 12
Let -v**5/6 - 2*v**4 - 17*v**3/6 + 19*v**2/3 + 14*v + 20/3 = 0. What is v?
-10, -2, -1, 2
Factor 3*l**2/2 + 802*l/3 + 178/3.
(l + 178)*(9*l + 2)/6
Factor -5*y**4 - 15*y**3 + 20*y.
-5*y*(y - 1)*(y + 2)**2
Solve 2*o**5/13 - 8*o**4/13 - 2*o**3/13 + 32*o**2/13 - 24*o/13 = 0.
-2, 0, 1, 2, 3
Factor p**3/6 + 11*p**2/6 + 14*p/3.
p*(p + 4)*(p + 7)/6
Let -12*q**4 + 26*q**3 + 128*q**2 - 166*q + 24 = 0. Calculate q.
-3, 1/6, 1, 4
Factor 3*g**5 + 18*g**4 + 33*g**3 + 6*g**2 - 36*g - 24.
3*(g - 1)*(g + 1)*(g + 2)**3
Factor 2*v**3/9 - 160*v**2/9 + 3200*v/9.
2*v*(v - 40)**2/9
Factor -3*w**3/5 + 27*w**2/5 - 9*w - 15.
-3*(w - 5)**2*(w + 1)/5
Suppose -2*l**2/7 - 1996*l/7 - 498002/7 = 0. What is l?
-499
What is r in 2*r**5/15 + 8*r**4/15 - 26*r**3/15 - 8*r**2/15 + 8*r/5 = 0?
-6, -1, 0, 1, 2
Factor -a**3/7 - 24*a**2/7 - 12*a - 80/7.
-(a + 2)**2*(a + 20)/7
Factor -21*x**2 + 141*x + 42.
-3*(x - 7)*(7*x + 2)
Let -4*o**3 - 892*o**2 - 50172*o - 49284 = 0. What is o?
-111, -1
Determine w, given that w**5/10 - 7*w**4/5 + 63*w**3/10 - 41*w**2/5 - 32*w/5 + 48/5 = 0.
-1, 1, 4, 6
Let 2*w**3/5 - 26*w**2/5 - 8*w/5 + 104/5 = 0. What is w?
-2, 2, 13
Suppose 2*z**2/9 - 58*z/9 + 40 = 0. Calculate z.
9, 20
Let 5*o**2 + 370*o - 1560 = 0. What is o?
-78, 4
Factor -4*i**3 + 28*i**2 - 32*i - 64.
-4*(i - 4)**2*(i + 1)
Find m such that 2*m**3/9 - 1450*m**2/9 + 1448*m/9 = 0.
0, 1, 724
Determine b, given that -2*b**5 - 16*b**4 - 42*b**3 - 44*b**2 - 16*b = 0.
-4, -2, -1, 0
Factor k**3 + 21*k**2 - 24*k - 44.
(k - 2)*(k + 1)*(k + 22)
Solve -22*u**2 - 460*u + 42 = 0.
-21, 1/11
Solve u**3/5 - 67*u**2/5 - 14*u + 136/5 = 0 for u.
-2, 1, 68
Solve -3*m**4/5 - 104*m**3/5 + 371*m**2/5 - 68*m + 76/5 = 0 for m.
-38, 1/3, 1, 2
Factor u**4/5 - 161*u**3/5 + 159*u**2/5 + 161*u/5 - 32.
(u - 160)*(u - 1)**2*(u + 1)/5
Factor -5*l**2/3 - 170*l/3 - 1445/3.
-5*(l + 17)**2/3
Solve 4*r**2 + 2676*r - 13480 = 0 for r.
-674, 5
Factor -3*h**4 - 126*h**3 - 231*h**2 + 360*h.
-3*h*(h - 1)*(h + 3)*(h + 40)
Factor -5*w**4 + 10*w**2 - 5.
-5*(w - 1)**2*(w + 1)**2
Determine n, given that n**2/6 - 7*n/3 - 40 = 0.
-10, 24
Find p such that -5*p**4 + 1030*p**3 - 52005*p**2 - 107120*p - 54080 = 0.
-1, 104
Solve 3*t**3 + 36*t**2 + 60*t = 0 for t.
-10, -2, 0
Factor -5*v**3 + 330*v**2 - 5445*v.
-5*v*(v - 33)**2
Factor -8640*f**5 - 23760*f**4 + 4140*f**3 + 25825*f**2 - 15500*f + 2500.
-5*(f + 2)**2*(12*f - 5)**3
Factor 20*n**3 + 33755*n**2 + 14238280*n - 3561680.
5*(n + 844)**2*(4*n - 1)
Factor -3*h**2 - 36*h + 192.
-3*(h - 4)*(h + 16)
Find o such that 3*o**2 - 19*o = 0.
0, 19/3
Factor -z**3/5 + 6*z**2 - 131*z/5 + 30.
-(z - 25)*(z - 3)*(z - 2)/5
Suppose -8*h**3/5 + 38*h**2/5 - 38*h/5 - 12/5 = 0. Calculate h.
-1/4, 2, 3
Factor 12*k**3/5 + 183*k**2/5 + 357*k/5 + 78/5.
3*(k + 2)*(k + 13)*(4*k 