*x**3 - 68*x**2 + 4*x.
-4*x*(2*x + 1)*(19*x - 1)
Determine h so that -50*h**4/13 + 254*h**3/13 - 170*h**2/13 - 438*h/13 + 36/13 = 0.
-1, 2/25, 3
Factor n**2/4 + 25*n/4 + 6.
(n + 1)*(n + 24)/4
Find y such that -2*y**3/13 - 8*y**2/13 - 6*y/13 = 0.
-3, -1, 0
Solve 5*h**5 - 30*h**4 - 10*h**3 + 60*h**2 + 5*h - 30 = 0 for h.
-1, 1, 6
Factor -5*r**4 + 330*r**3 - 645*r**2 + 320*r.
-5*r*(r - 64)*(r - 1)**2
Determine s, given that 4*s**4 - 936*s**3 + 55668*s**2 - 104864*s - 161472 = 0.
-1, 3, 116
Factor -g**2/3 - 152*g/3 - 5776/3.
-(g + 76)**2/3
Factor h**2 - 30*h - 31.
(h - 31)*(h + 1)
Suppose 2*o**3 - 1986*o**2 + 494016*o - 492032 = 0. Calculate o.
1, 496
Suppose -2*s**2 - 556*s = 0. What is s?
-278, 0
Suppose -n**5/4 - 75*n**4/4 - 645*n**3/2 + 7285*n**2/2 + 302715*n/4 - 2413071/4 = 0. What is n?
-31, 9
Factor -2*v**3 + 2*v**2.
-2*v**2*(v - 1)
Factor m**4/4 + m**3/4 - 9*m**2/4 - 9*m/4.
m*(m - 3)*(m + 1)*(m + 3)/4
What is w in 2*w**5/13 + 120*w**4/13 + 1908*w**3/13 + 232*w**2 - 5046*w/13 = 0?
-29, -3, 0, 1
Factor 4*s**3 - 472*s**2 - 4*s + 472.
4*(s - 118)*(s - 1)*(s + 1)
Solve -d**3/5 - 1066*d**2/5 - 56604*d + 570312/5 = 0 for d.
-534, 2
Let 3*r**5 + 9810*r**4 + 10692900*r**3 + 3885087000*r**2 = 0. Calculate r.
-1090, 0
Factor -5*r**2 - 5*r + 10.
-5*(r - 1)*(r + 2)
Let 4*z**4 + 36*z**3 + 116*z**2 + 156*z + 72 = 0. Calculate z.
-3, -2, -1
Determine q, given that 2*q**3 + 10*q**2 - 26*q + 14 = 0.
-7, 1
Solve -2*l**3/7 - 22*l**2/7 - 48*l/7 + 72/7 = 0.
-6, 1
Solve 12*n**3 - 26*n**2 - 6*n + 20 = 0 for n.
-5/6, 1, 2
Factor -b**2/4 + 91*b/4 - 45/2.
-(b - 90)*(b - 1)/4
Determine p so that -15125*p**2 + 220*p - 4/5 = 0.
2/275
Let -980*n**4 + 644*n**3 + 772*n**2 - 708*n + 144 = 0. Calculate n.
-1, 3/7, 4/5
Find p such that 2*p**4/11 + 8*p**3/11 = 0.
-4, 0
Determine f so that -f**2/5 + 24*f/5 - 23/5 = 0.
1, 23
Factor -5*t**2/3 + 113*t/3 - 22.
-(t - 22)*(5*t - 3)/3
Factor -f**4/3 - 8*f**3/3 + 14*f**2/3 + 16*f + 9.
-(f - 3)*(f + 1)**2*(f + 9)/3
Factor -k**2 - 10*k + 551.
-(k - 19)*(k + 29)
Factor -4*x**2/3 - 312*x.
-4*x*(x + 234)/3
Factor -3*l**3 + 78*l**2 - 576*l + 864.
-3*(l - 12)**2*(l - 2)
Let 5*w**3 + 100*w**2 - 105*w = 0. Calculate w.
-21, 0, 1
Let d**2/5 - 282*d/5 + 281/5 = 0. Calculate d.
1, 281
Let -3*z**2 - 489*z - 5016 = 0. What is z?
-152, -11
Suppose -12*v**2 - 3207*v - 801 = 0. Calculate v.
-267, -1/4
Suppose -392*p**5/9 - 448*p**4/9 + 242*p**3/3 + 110*p**2/9 + 4*p/9 = 0. Calculate p.
-2, -1/14, 0, 1
Let 3*l**2 - 114*l + 111 = 0. Calculate l.
1, 37
Solve 3*t**3 - 39*t**2 + 144*t - 108 = 0.
1, 6
Suppose -28*r**5/9 - 274*r**4/9 - 254*r**3/3 - 812*r**2/9 - 344*r/9 - 16/3 = 0. What is r?
-6, -2, -1, -1/2, -2/7
Factor x**3/4 + 7*x**2/4 - x/4 - 7/4.
(x - 1)*(x + 1)*(x + 7)/4
Factor 5*z**5 - 5*z**4 - 20*z**3 + 20*z**2.
5*z**2*(z - 2)*(z - 1)*(z + 2)
Factor 5*z**2 - 35*z.
5*z*(z - 7)
Find c such that -8*c**4 - 38*c**3 - 46*c**2 - 10*c + 6 = 0.
-3, -1, 1/4
Factor 40*t**3 + 25*t**2 - 95*t + 30.
5*(t - 1)*(t + 2)*(8*t - 3)
Factor l**4/4 - 831*l**3/2 + 1245*l**2 - 2489*l/2 + 1659/4.
(l - 1659)*(l - 1)**3/4
What is o in -3*o**5/2 - 111*o**4 + 117*o**3 + 330*o**2 - 1119*o/2 + 225 = 0?
-75, -2, 1
Factor -f**3/3 + 121*f + 2662/3.
-(f - 22)*(f + 11)**2/3
Find a, given that 3*a**2/4 + 1434*a + 685452 = 0.
-956
Factor 2*g**4 + 906*g**3 - 1818*g**2 + 910*g.
2*g*(g - 1)**2*(g + 455)
Factor -49*d**3/3 - 70*d**2/3 - 23*d/3 - 2/3.
-(d + 1)*(7*d + 1)*(7*d + 2)/3
Factor 3*n**4/4 - 25*n**3 - 17*n**2.
n**2*(n - 34)*(3*n + 2)/4
Solve -18*s**4 + 93*s**3 - 171*s**2 + 135*s - 39 = 0 for s.
1, 13/6
Factor -t**2 + 10028*t - 25140196.
-(t - 5014)**2
Solve 3*l**3 + 9*l**2 - 3*l - 9 = 0.
-3, -1, 1
Let -a**4/12 - 37*a**3/12 - 30*a**2 - 27*a = 0. Calculate a.
-18, -1, 0
Factor 4107*l**3 - 2553*l**2 - 1407*l - 147.
3*(l - 1)*(37*l + 7)**2
Let -757*r**4/2 - 2273*r**3/2 - 2277*r**2/2 - 763*r/2 - 1 = 0. What is r?
-1, -2/757
What is n in -9*n**2 + 23*n - 10 = 0?
5/9, 2
Factor -2*l**5 - 12*l**4 - 16*l**3.
-2*l**3*(l + 2)*(l + 4)
Let a**5/2 + 67*a**4/4 - 10*a**3 - 205*a**2/4 - 8*a + 17 = 0. Calculate a.
-34, -1, 1/2, 2
Suppose k**4 - 3*k**3 - 37*k**2 - 33*k + 72 = 0. What is k?
-3, 1, 8
Determine s, given that 16*s**5 - 168*s**4 + 65*s**3 + 158*s**2 - 81*s + 10 = 0.
-1, 1/4, 1, 10
Let -2*y**3/7 - 6*y**2/7 + 8/7 = 0. Calculate y.
-2, 1
Determine r, given that -3*r**2 + 114*r - 1083 = 0.
19
Factor -3*a**3 + 14742*a**2 - 24147396*a + 13184478216.
-3*(a - 1638)**3
Find p such that 4*p**4 - 2716*p**3 + 10816*p**2 - 10800*p = 0.
0, 2, 675
Factor -21*b**3 - 6*b**2 + 84*b + 24.
-3*(b - 2)*(b + 2)*(7*b + 2)
Factor s**4/2 + 11*s**3 + 109*s**2/2 - 66*s.
s*(s - 1)*(s + 11)*(s + 12)/2
Solve -m**2/5 - 2616*m - 8554320 = 0 for m.
-6540
Factor -r**2/3 - 212*r/3 - 11236/3.
-(r + 106)**2/3
Factor 2*c**2/17 - 22*c/17 + 20/17.
2*(c - 10)*(c - 1)/17
Factor -f**4 - 87*f**3 - 2430*f**2 - 18900*f + 81000.
-(f - 3)*(f + 30)**3
Find s, given that -s**5 + 19*s**4 - 104*s**3 + 176*s**2 = 0.
0, 4, 11
Solve -5*s**5 + 810*s**4 - 31980*s**3 - 67240*s**2 = 0.
-2, 0, 82
Solve -5*q**4 - 45*q**3 - 20*q**2 + 180*q + 160 = 0 for q.
-8, -2, -1, 2
Factor t**3/4 - 89*t**2/4 + 65*t - 43.
(t - 86)*(t - 2)*(t - 1)/4
Solve z**4/7 - 3*z**3/7 - 4*z**2/7 = 0.
-1, 0, 4
What is z in 3*z**2/7 + 3096*z/7 + 3093/7 = 0?
-1031, -1
Find q such that 2*q**4/7 + 358*q**3/7 + 708*q**2/7 = 0.
-177, -2, 0
Factor -5*q**3 + 370*q**2 - 720*q.
-5*q*(q - 72)*(q - 2)
Determine g so that -18*g**5/7 + 78*g**4 + 2892*g**3/7 + 240*g**2 = 0.
-4, -2/3, 0, 35
Suppose -2*v**2/3 + 110*v/3 - 104 = 0. Calculate v.
3, 52
Factor -p**2 + 11*p - 10.
-(p - 10)*(p - 1)
Factor -242*o**5 - 770*o**4 - 860*o**3 - 380*o**2 - 50*o - 2.
-2*(o + 1)**3*(11*o + 1)**2
Factor -5*u**2 + 420*u + 14985.
-5*(u - 111)*(u + 27)
Suppose 3*d**2/8 + 951*d/4 + 301467/8 = 0. What is d?
-317
Factor -5*k**4 - 35*k**3 - 65*k**2 + 15*k + 90.
-5*(k - 1)*(k + 2)*(k + 3)**2
Determine g so that -3*g**4 - 123*g**3 + 3*g**2 + 123*g = 0.
-41, -1, 0, 1
Let m**2/4 - 17*m/4 + 35/2 = 0. Calculate m.
7, 10
Determine s so that 8*s**2/7 + 50*s/7 + 12/7 = 0.
-6, -1/4
Factor -2*s**4 + 30*s**3 + 216*s**2 - 1216*s.
-2*s*(s - 19)*(s - 4)*(s + 8)
Suppose 6*o**2/5 - 36*o/5 + 48/5 = 0. Calculate o.
2, 4
Find u, given that -4*u**5 + 24*u**3 - 32*u**2 + 12*u = 0.
-3, 0, 1
Let -4*q**2 - 54784*q - 187580416 = 0. What is q?
-6848
Factor f**3 - 7*f - 6.
(f - 3)*(f + 1)*(f + 2)
Factor -2*y**3 + 372*y**2 - 3570*y + 8800.
-2*(y - 176)*(y - 5)**2
Solve 5*v**2 + 10*v = 0.
-2, 0
Factor -v**3/7 + 281*v**2/7 - 40*v.
-v*(v - 280)*(v - 1)/7
Factor 1011*u**2 + 1014*u + 3.
3*(u + 1)*(337*u + 1)
Let -y**5/2 + 21*y**4/2 + 3*y**3/2 - 61*y**2/2 - 21*y = 0. What is y?
-1, 0, 2, 21
What is z in 66*z**3/7 + 136*z**2/7 + 8*z/7 = 0?
-2, -2/33, 0
Determine b so that 3*b**4/2 + 456*b**3 + 51984*b**2 + 2633856*b + 50043264 = 0.
-76
Find y, given that 15*y**5 + 20*y**4 - 100*y**3 - 230*y**2 - 155*y - 30 = 0.
-2, -1, -1/3, 3
Factor -o**3/6 - 329*o**2/3 + 441*o/2 + 330.
-(o - 3)*(o + 1)*(o + 660)/6
Let 125*j**4 + 1950*j**3 - 5295*j**2 + 1880*j - 180 = 0. Calculate j.
-18, 1/5, 2
Factor b**3/4 - 9*b**2/2 - 63*b/4.
b*(b - 21)*(b + 3)/4
Suppose k**5 + 5*k**4 - 72*k**3 - 360*k**2 + 1296*k + 6480 = 0. Calculate k.
-6, -5, 6
Determine y, given that -5*y**5/3 - y**4 + 43*y**3/3 + 17*y**2 - 38*y/3 - 16 = 0.
-2, -8/5, -1, 1, 3
Factor 6*g**3 - 51*g**2 - 27*g.
3*g*(g - 9)*(2*g + 1)
What is v in -52*v**3 - 5904*v**2 + 2736*v = 0?
-114, 0, 6/13
Factor k**5 + 8*k**4 - 31*k**3 - 98*k**2 + 156*k + 360.
(k - 3)**2*(k + 2)**2*(k + 10)
Let 2*a**3 + 22*a**2 + 604*a/9 + 320/9 = 0. What is a?
-16/3, -5, -2/3
Solve -2*p**2/5 - 136*p/5 - 2312/5 = 0.
-34
Factor 2*h**3/19 - 2388*h**2/19 + 717570*h/19 - 2832200/19.
2*(h - 595)**2*(h - 4)/19
Solve -84*r**5 + 88*r**4 + 144*r**3 + 32*r**2 = 0.
-2/3, -2/7, 0, 2
Determine j, given that -12*j**3 - 1108*j**2 - 6480*j + 4816 = 0.
-86, -7, 2/3
Suppose 2*y**5 - 116*y**4 + 112*y**3 + 116*y**2 - 114*y = 0. Calculate y.
-1, 0, 1, 57
Factor r**3/3 + 26*r**2/3 + 91*r/3 + 22.
(r + 1)*(r + 3)*(r + 22)/3
Factor 3*z**3 + 156*z**2 - 1263*z - 1416.
3*(z - 8)*(z + 1)*(z + 59)
Factor 4*i**4 + 55*i**3 + 131*i**2 + 113*i + 33.
(i + 1)**2*(i + 11)*(4*i + 3)
Solve 21*q**2/4 + 261*q/4 - 39 = 0 for q.
-13, 4/7
Factor -3*p**3 + 36*p**2 + 180*p - 2400.
-3*(p - 