6 - 5*v**2/3 - 71*v/6 - 10.
(v - 15)*(v + 1)*(v + 4)/6
Find c such that 7*c**5/5 - 2*c**4/5 - c**3 = 0.
-5/7, 0, 1
Determine r, given that 4*r**4 - 48*r**3 + 168*r**2 - 208*r + 84 = 0.
1, 3, 7
Factor o**3/4 + 57*o**2/8 + 157*o/8 + 51/4.
(o + 1)*(o + 2)*(2*o + 51)/8
Let -3*n**2/2 + 119*n - 79/2 = 0. Calculate n.
1/3, 79
Factor 2*l**3 - 6*l**2 - 50*l - 42.
2*(l - 7)*(l + 1)*(l + 3)
What is u in -5*u**4/3 + 29*u**3/3 + 182*u**2/3 + 268*u/3 + 40 = 0?
-2, -6/5, -1, 10
Factor 2*v**2 + 252*v - 774.
2*(v - 3)*(v + 129)
Determine o, given that 2*o**4 + 30*o**3 - 70*o**2 - 30*o + 68 = 0.
-17, -1, 1, 2
Determine t, given that -4*t**4/9 + 28*t**3/9 - 4*t**2/9 - 12*t - 8 = 0.
-1, 3, 6
Factor 2*m**3/9 + 4*m**2/9 - 10*m/9 - 4/3.
2*(m - 2)*(m + 1)*(m + 3)/9
Suppose -q**4 - 21*q**3 - 118*q**2 - 60*q + 200 = 0. What is q?
-10, -2, 1
Determine n so that n**2/2 - 709*n + 1417/2 = 0.
1, 1417
Solve v**5 - 5*v**4 - 5*v**3 + 25*v**2 + 40*v + 16 = 0.
-1, 4
Suppose -5*a**5 - 100*a**4 + 125*a**3 + 400*a**2 - 420*a = 0. Calculate a.
-21, -2, 0, 1, 2
Factor -2*d**3/11 - 112*d**2/11 - 1568*d/11.
-2*d*(d + 28)**2/11
Let l**5/2 + l**4 - 6*l**3 - 19*l**2 - 37*l/2 - 6 = 0. Calculate l.
-3, -1, 4
What is t in -185*t**2 - 195*t - 10 = 0?
-1, -2/37
Determine a, given that 2*a**2/11 - 120*a = 0.
0, 660
Determine o, given that -4*o**4/9 + 52*o**3/9 + 392*o**2/9 - 128*o/3 - 384 = 0.
-4, 3, 18
Factor n**4 - 9*n**3 + 20*n**2 - 12*n.
n*(n - 6)*(n - 2)*(n - 1)
Factor -3*a**4 - 144*a**3 - 2094*a**2 - 8568*a - 6615.
-3*(a + 1)*(a + 5)*(a + 21)**2
Determine p, given that -2*p**2/9 - 1952*p/9 - 476288/9 = 0.
-488
Determine w, given that -2*w**5/7 - 4*w**4 - 24*w**3/7 + 4*w**2 + 26*w/7 = 0.
-13, -1, 0, 1
Determine f, given that 3*f**4 - 2019*f**3 + 457542*f**2 - 35928036*f + 229762008 = 0.
7, 222
Solve -28*u**5 - 356*u**4 + 3044*u**3 - 5628*u**2 + 1368*u = 0.
-19, 0, 2/7, 3
Determine w, given that 5*w**4/3 - 60*w**3 + 1940*w**2/3 - 1920*w + 5120/3 = 0.
2, 16
Let m**2/2 - 5*m + 12 = 0. Calculate m.
4, 6
Let 7*h**3 - 16*h**2 - 17*h + 6 = 0. Calculate h.
-1, 2/7, 3
Factor -2*k**2/3 + 140*k/3 - 2450/3.
-2*(k - 35)**2/3
Find j such that -3*j**3 - 27*j**2 + 36*j + 60 = 0.
-10, -1, 2
Determine j so that 48*j**4 + 120*j**3 + 99*j**2 + 30*j + 3 = 0.
-1, -1/4
Factor -2*b**5/3 + 2*b**4/3 + 16*b**3/3 - 8*b**2.
-2*b**2*(b - 2)**2*(b + 3)/3
Let -2*u**3/7 + 550*u**2/7 - 2708*u/7 + 2160/7 = 0. What is u?
1, 4, 270
Factor 3*y**2/2 - 2025*y.
3*y*(y - 1350)/2
Determine j so that -12*j**3 + 1252*j**2 - 5160*j - 4000 = 0.
-2/3, 5, 100
Factor s**3/3 - 13*s**2/3 + 48.
(s - 12)*(s - 4)*(s + 3)/3
Let -2*r**2 + 142*r - 896 = 0. Calculate r.
7, 64
Factor -3*q**3/4 - 227*q**2/2 + 1235*q/4 + 231/2.
-(q - 3)*(q + 154)*(3*q + 1)/4
Find q, given that 3*q**2 - 39*q - 144 = 0.
-3, 16
Find k, given that -5*k**5 - 13*k**4 + 11*k**3 + 13*k**2 - 6*k = 0.
-3, -1, 0, 2/5, 1
Factor 5*g**2 - 270*g + 1645.
5*(g - 47)*(g - 7)
Let -2*w**5/7 + 4*w**4 + 34*w**3/7 - 60*w**2/7 = 0. What is w?
-2, 0, 1, 15
Find u such that u**2 + 6*u - 7 = 0.
-7, 1
Factor 86*m**2 + 1714*m - 120.
2*(m + 20)*(43*m - 3)
Let 2*z**2 + 578*z - 1164 = 0. What is z?
-291, 2
Factor 7868025*a**2 - 11220*a + 4.
(2805*a - 2)**2
Factor 16*h**5/9 + 472*h**4/9 + 3361*h**3/9 - 590*h**2/3 + 25*h.
h*(h + 15)**2*(4*h - 1)**2/9
What is o in -o**5/9 - 58*o**4/9 - 88*o**3/3 + 58*o**2/9 + 265*o/9 = 0?
-53, -5, -1, 0, 1
Factor 2*l**4/3 + 2*l**3 - 6*l**2 - 46*l/3 - 8.
2*(l - 3)*(l + 1)**2*(l + 4)/3
Suppose 150*y**3/11 - 1110*y**2/11 + 426*y/11 - 42/11 = 0. Calculate y.
1/5, 7
Factor m**3 - 30*m**2 + 29*m.
m*(m - 29)*(m - 1)
Solve 10*l**5/3 - 14*l**4/3 - 4*l**3 + 20*l**2/3 + 2*l/3 - 2 = 0 for l.
-1, -3/5, 1
Factor o**2 - 150*o - 151.
(o - 151)*(o + 1)
Factor 3*k**3/5 - 1209*k**2/5 - 4872*k/5 - 4884/5.
3*(k - 407)*(k + 2)**2/5
Factor -2*c**4/9 - 10*c**3/3 - 16*c**2 - 24*c.
-2*c*(c + 3)*(c + 6)**2/9
Factor -k**4/2 + 39*k**3/2 - 217*k**2/2 - 3243*k/2 - 2645.
-(k - 23)**2*(k + 2)*(k + 5)/2
Let 5*a**4/3 + a**3 - 5*a**2 - 19*a/3 - 2 = 0. Calculate a.
-1, -3/5, 2
Solve -5*c**5 - 45*c**4 - 130*c**3 - 170*c**2 - 105*c - 25 = 0 for c.
-5, -1
Find r such that -6*r**5/11 + 58*r**4/11 - 18*r**3 + 294*r**2/11 - 196*r/11 + 48/11 = 0.
2/3, 1, 3, 4
Solve f**4/11 + 18*f**3/11 + 45*f**2/11 = 0.
-15, -3, 0
Let -5*p**4 - 40*p**3 - 10*p**2 + 160*p - 105 = 0. What is p?
-7, -3, 1
Factor -245*k**5 - 770*k**4 - 605*k**3.
-5*k**3*(7*k + 11)**2
Factor 20*m**4 - 132*m**3 + 64*m**2 + 48*m.
4*m*(m - 6)*(m - 1)*(5*m + 2)
Factor 12*i**3/5 - 177*i**2/5 + 123*i/5 + 42/5.
3*(i - 14)*(i - 1)*(4*i + 1)/5
Factor 5*a**3 + 190*a**2 - 1295*a + 1100.
5*(a - 5)*(a - 1)*(a + 44)
Solve v**4/8 - 13*v**3/4 + 45*v**2/8 + 9*v = 0 for v.
-1, 0, 3, 24
Suppose 5*o**2/3 - 3155*o/3 + 1050 = 0. Calculate o.
1, 630
Find o such that 2*o**2/13 + 192*o/13 + 1246/13 = 0.
-89, -7
Determine f, given that 5*f**3 - 8705*f**2 + 26080*f - 17380 = 0.
1, 2, 1738
Determine k, given that -1875*k**3 + 10275*k**2 - 4608*k + 540 = 0.
6/25, 5
Factor 4*q**3 - 28*q + 24.
4*(q - 2)*(q - 1)*(q + 3)
Let q**2/3 - 214*q/3 + 280 = 0. What is q?
4, 210
Factor -5*c**4 + 910*c**3 - 895*c**2 - 1810*c.
-5*c*(c - 181)*(c - 2)*(c + 1)
Factor -4*j**4/5 + 16*j**3/5 + 44*j**2/5 + 24*j/5.
-4*j*(j - 6)*(j + 1)**2/5
Suppose -p**2 + 109*p + 1190 = 0. Calculate p.
-10, 119
Let 9*k**3/4 + 87*k**2/4 + 45*k + 21 = 0. Calculate k.
-7, -2, -2/3
Determine p so that 28*p**5 + 176*p**4 + 244*p**3 - 112*p**2 - 272*p - 64 = 0.
-4, -2, -1, -2/7, 1
Factor z**3 - 26*z**2 + 140*z + 392.
(z - 14)**2*(z + 2)
Factor -2*u**2 + 24*u.
-2*u*(u - 12)
Factor 3*k**3 + 33*k**2 - 78*k.
3*k*(k - 2)*(k + 13)
Factor w**2/4 - 63*w/4 + 59.
(w - 59)*(w - 4)/4
Factor 147*f**3 + 3843*f**2 + 540*f - 156.
3*(f + 26)*(7*f - 1)*(7*f + 2)
Factor -185*t**3 - 1125*t**2 - 1755*t - 135.
-5*(t + 3)**2*(37*t + 3)
Factor -2*l**3/3 - 8*l**2/3 - 10*l/3 - 4/3.
-2*(l + 1)**2*(l + 2)/3
Suppose -36*g**5 + 184*g**4 - 304*g**3 + 160*g**2 = 0. What is g?
0, 10/9, 2
Determine a, given that -2*a**3/13 - 12*a**2/13 - 18*a/13 = 0.
-3, 0
Determine s so that -s**3 + 4*s**2 + 19*s + 14 = 0.
-2, -1, 7
Let -14*a**2/3 - 58*a/3 + 144 = 0. Calculate a.
-8, 27/7
Factor a**2/2 - a/2 - 1.
(a - 2)*(a + 1)/2
Find b such that 2*b**5/3 + 22*b**4/3 + 20*b**3 - 40*b**2/3 - 272*b/3 - 64 = 0.
-6, -4, -2, -1, 2
Factor -f**2/3 + 1042*f/3 - 271441/3.
-(f - 521)**2/3
Solve 2*h**4 + 22*h**3 - 6*h**2 - 70*h - 44 = 0.
-11, -1, 2
Factor -3*m**3 + 75*m**2 - 264*m + 252.
-3*(m - 21)*(m - 2)**2
Determine y so that -5*y**2 + 2580*y - 2575 = 0.
1, 515
Solve y**2 + 27*y + 110 = 0 for y.
-22, -5
Let -5*a**3 + 1380*a**2 - 97920*a + 369920 = 0. What is a?
4, 136
Factor -2*q**2 - 122*q - 120.
-2*(q + 1)*(q + 60)
Suppose -s**5/5 + 7*s**4/5 - 2*s**3 = 0. What is s?
0, 2, 5
Suppose 2*f**3/5 - 84*f**2/5 + 594*f/5 = 0. Calculate f.
0, 9, 33
Factor v**4/3 + 47*v**3/3 - 254*v**2/3 + 104*v.
v*(v - 3)*(v - 2)*(v + 52)/3
Solve 5*t**5 - 190*t**4 + 365*t**3 - 180*t**2 = 0 for t.
0, 1, 36
Factor -c**5/8 + 5*c**4/8 + 11*c**3/2 + 8*c**2 - 4*c - 10.
-(c - 10)*(c - 1)*(c + 2)**3/8
What is p in 4*p**2 + 140*p + 264 = 0?
-33, -2
Factor 2*x**2 + 60*x + 58.
2*(x + 1)*(x + 29)
Factor 19722481*j**2/4 - 4441*j + 1.
(4441*j - 2)**2/4
Suppose 2*m**4 + 128*m**3 + 1338*m**2 + 4780*m + 5200 = 0. What is m?
-52, -5, -2
Suppose -4*v**4 - 76*v**3 - 492*v**2 - 1204*v - 784 = 0. What is v?
-7, -4, -1
Suppose p**3/8 - 29*p**2/8 - 9*p/2 + 45/2 = 0. Calculate p.
-3, 2, 30
Factor -2*l**5/15 - 14*l**4/15 - 32*l**3/15 - 8*l**2/5.
-2*l**2*(l + 2)**2*(l + 3)/15
Suppose 3*d**4 + 105*d**3 + 774*d**2 + 1920*d + 1248 = 0. Calculate d.
-26, -4, -1
Factor -2*v**2/15 - 1168*v/15 + 1174/5.
-2*(v - 3)*(v + 587)/15
Factor 5*l**3 + 15*l**2 - 470*l - 1800.
5*(l - 10)*(l + 4)*(l + 9)
Solve -t**3/6 - 7*t**2/3 - 4*t = 0.
-12, -2, 0
What is b in -63*b**3 + 642*b**2 - 693*b + 162 = 0?
1/3, 6/7, 9
Let a**5/3 + 2*a**4 + a**3/3 - 8*a**2 + 16*a/3 = 0. What is a?
-4, 0, 1
Determine j so that -96*j**4 - 444*j**3 - 228*j**2 + 57*j + 36 = 0.
-4, -1/2, 3/8
Factor -2*b**3/7 - 8*b**2/7 + 24*b/7.
-2*b*(b - 2)*(b + 6)/7
Factor i**2/7 + 114*i/7 + 113/7.
(i + 1)*(i + 113)/7
Factor 7*u**3/3 + 95*u**2 - 2056*u/3 + 188.
(u - 6)*(u + 47)*(7*u - 2)/3
Factor 2*s**4 + 10*s**3 + 6*s**2 - 10*s - 8.
2*(s - 1)*(s + 1)**2*(s + 4)
Determine a, given th