3)/4
Factor 3*l**3/8 + 15*l**2/8 - 63*l/2.
3*l*(l - 7)*(l + 12)/8
Find k such that -6*k**5 - 100*k**4 + 376*k**3 + 7764*k**2 - 10738*k + 2704 = 0.
-13, 1/3, 1, 8
Factor -2*f**3 + 8*f**2 + 58*f + 48.
-2*(f - 8)*(f + 1)*(f + 3)
Let -n**5 - 8*n**4 - 15*n**3 + 8*n**2 + 16*n = 0. What is n?
-4, -1, 0, 1
Factor 4*r**4/3 + 15*r**3 + 11*r**2/3.
r**2*(r + 11)*(4*r + 1)/3
Factor 2*a**3/5 - 58*a**2/5 - 122*a/5 - 62/5.
2*(a - 31)*(a + 1)**2/5
Factor 2*u**3/15 - 278*u**2/15 - 562*u/15 - 94/5.
2*(u - 141)*(u + 1)**2/15
Factor f**3/11 - 15*f**2/11 - f/11 + 15/11.
(f - 15)*(f - 1)*(f + 1)/11
Factor -2*u**3/9 - 14*u**2/9 + 2*u/9 + 14/9.
-2*(u - 1)*(u + 1)*(u + 7)/9
Determine s, given that -2*s**4/11 + 36*s**2/11 + 64*s/11 + 30/11 = 0.
-3, -1, 5
Determine g so that 3*g**2 + 63*g + 162 = 0.
-18, -3
Factor 3*k**2 - 612*k + 609.
3*(k - 203)*(k - 1)
Determine n so that -3*n**4 + 18*n**3 + 39*n**2 - 126*n = 0.
-3, 0, 2, 7
Let 3*s**5/2 - 3*s**3 + 3*s/2 = 0. Calculate s.
-1, 0, 1
Factor -i**3/3 + 4*i**2/3 + 5*i/3.
-i*(i - 5)*(i + 1)/3
Suppose -3*k**4/7 - 57*k**3/7 - 249*k**2/7 + 57*k/7 + 36 = 0. What is k?
-12, -7, -1, 1
Factor 16*x**5 - 36*x**4 + 24*x**3 - 4*x**2.
4*x**2*(x - 1)**2*(4*x - 1)
What is y in -6*y**4/7 - 18*y**3/7 + 114*y**2/7 + 522*y/7 + 540/7 = 0?
-3, -2, 5
Factor 4*k**3 - 348*k**2 + 344*k.
4*k*(k - 86)*(k - 1)
Factor -2*k**2/3 - 22*k/3 - 20/3.
-2*(k + 1)*(k + 10)/3
Determine d, given that -7*d**5 + 40*d**4 - 72*d**3 + 46*d**2 - d - 6 = 0.
-2/7, 1, 3
Suppose 4*u**2 - 192*u + 2304 = 0. Calculate u.
24
What is t in -15*t**5/7 - 6*t**4 + 12*t**3 + 30*t**2/7 - 69*t/7 + 12/7 = 0?
-4, -1, 1/5, 1
Factor 15*z**3/8 - 159*z**2/2 + 63*z/2.
3*z*(z - 42)*(5*z - 2)/8
Determine u, given that -2*u**2/5 + 52*u/5 - 10 = 0.
1, 25
Factor -2*x**2 - 70*x - 572.
-2*(x + 13)*(x + 22)
Determine u so that -u**3 - 48*u**2 - 545*u + 594 = 0.
-27, -22, 1
Factor -1715*m**4 - 8330*m**3 - 6300*m**2 - 1720*m - 160.
-5*(m + 4)*(7*m + 2)**3
Suppose 2*v**4/13 - 14*v**3/13 + 8*v**2/13 + 24*v/13 = 0. Calculate v.
-1, 0, 2, 6
Suppose -83667*n**3 + 1005006*n**2 - 12027*n + 36 = 0. Calculate n.
1/167, 12
Factor -5*w**4 + 15*w**3 - 20*w.
-5*w*(w - 2)**2*(w + 1)
Factor -a**2/3 - 709*a/3 + 474.
-(a - 2)*(a + 711)/3
Factor -52*m**2/5 + 6*m/5.
-2*m*(26*m - 3)/5
Factor 6*f**4 + 8*f**3 - 6*f**2 - 8*f.
2*f*(f - 1)*(f + 1)*(3*f + 4)
Suppose -2*v**5 + 28*v**4 - 48*v**3 - 4*v**2 + 50*v - 24 = 0. What is v?
-1, 1, 12
Factor -q**3 - 85*q**2 + 1068*q + 1152.
-(q - 12)*(q + 1)*(q + 96)
Suppose 4*y**5/3 + 38*y**4/3 - 96*y**3 + 598*y**2/3 - 472*y/3 + 40 = 0. Calculate y.
-15, 1/2, 1, 2
Suppose -l**2/4 - 3*l/4 + 1 = 0. What is l?
-4, 1
Factor 7*s**2 + 41*s - 120.
(s + 8)*(7*s - 15)
Determine j so that -2*j**4/5 + 148*j**3/5 - 3018*j**2/5 + 2072*j - 1960 = 0.
2, 35
Factor -4*z**5 + 32*z**4 - 80*z**3 + 64*z**2.
-4*z**2*(z - 4)*(z - 2)**2
Factor 24*a**2 - 44*a - 68.
4*(a + 1)*(6*a - 17)
Find l, given that 3*l**2 + 82*l - 56 = 0.
-28, 2/3
Factor -3*w**3/5 - 69*w**2/5 - 126*w/5.
-3*w*(w + 2)*(w + 21)/5
Let -h**4 - 8*h**3 + 33*h**2 - 4*h - 44 = 0. What is h?
-11, -1, 2
Determine k so that -35*k**4 + 4700*k**3 - 15095*k**2 + 3930*k = 0.
0, 2/7, 3, 131
What is u in 2*u**5 + 336*u**4 + 14444*u**3 + 27888*u**2 + 13778*u = 0?
-83, -1, 0
Factor -4*i**5 - 156*i**4 + 160*i**3.
-4*i**3*(i - 1)*(i + 40)
Solve 3*u**3/5 + 39*u**2 - 198*u/5 = 0.
-66, 0, 1
Let 5*a**3 - 5*a**2 - 165*a - 315 = 0. Calculate a.
-3, 7
Factor -4*g**2/5 + 5584*g/5 - 1116.
-4*(g - 1395)*(g - 1)/5
What is o in -2*o**2/3 - 198*o + 596/3 = 0?
-298, 1
What is c in -2*c**4/5 + 39*c**3/5 - 43*c**2 + 258*c/5 - 16 = 0?
1/2, 1, 8, 10
What is i in -3*i**2 + 51*i + 810 = 0?
-10, 27
Solve 2*x**4/13 + 20*x**3/13 - 6*x**2 = 0.
-13, 0, 3
Solve 2*g**5 - 288*g**4 + 11970*g**3 - 116524*g**2 + 405240*g - 435600 = 0 for g.
2, 5, 66
Find l, given that -l**3/7 - 5989*l**2/7 - 11975*l/7 - 5987/7 = 0.
-5987, -1
Factor 25*q**4 + 930*q**3 - 3015*q**2.
5*q**2*(q - 3)*(5*q + 201)
Factor o**2 - 70*o + 1225.
(o - 35)**2
Find o, given that 2*o**3/13 + 6*o**2/13 - 50*o/13 + 42/13 = 0.
-7, 1, 3
Factor 5*d**4 - 55*d**3 + 90*d**2.
5*d**2*(d - 9)*(d - 2)
Determine r so that 2*r**2 - 270*r + 268 = 0.
1, 134
Factor 3*p**5 + 201*p**4.
3*p**4*(p + 67)
Factor -3*g**4 - 12*g**3 + 9*g**2 + 42*g + 24.
-3*(g - 2)*(g + 1)**2*(g + 4)
Determine w so that w**5 + 99*w**4 + 2192*w**3 - 12692*w**2 + 21216*w - 10816 = 0.
-52, 1, 2
Factor -4*n**2 - 128*n - 1020.
-4*(n + 15)*(n + 17)
Determine l so that l**3 + 7*l**2 - l - 7 = 0.
-7, -1, 1
Solve h**5/3 + 58*h**4 - 177*h**3 = 0 for h.
-177, 0, 3
Find w such that 15*w**5 - 39*w**4 - 78*w**3 + 156*w**2 + 72*w = 0.
-2, -2/5, 0, 2, 3
Solve 5*w**4 + 73*w**3 + 211*w**2 + 143*w = 0 for w.
-11, -13/5, -1, 0
Factor 3*q**3 - 15*q**2 + 6*q + 24.
3*(q - 4)*(q - 2)*(q + 1)
Factor 6*y**2 + 25*y/4 - 11/4.
(3*y - 1)*(8*y + 11)/4
Determine l so that l**2 + l - 20 = 0.
-5, 4
Factor -n**5/5 - 3*n**4/5 + 4*n**3/5.
-n**3*(n - 1)*(n + 4)/5
Find r, given that -5*r**3 + 55852*r**2 - 155983465*r + 62384450 = 0.
2/5, 5585
Solve -l**5/9 + 17*l**4/9 - 61*l**3/9 - 13*l**2 + 18*l = 0 for l.
-2, 0, 1, 9
Determine c so that 5*c**5 + 15*c**4 - 170*c**3 + 260*c**2 + 120*c - 320 = 0.
-8, -1, 2
Factor -g**2/3 + 914*g/3 - 208849/3.
-(g - 457)**2/3
Factor 12*t**4 + 248*t**3 + 592*t**2 + 288*t.
4*t*(t + 2)*(t + 18)*(3*t + 2)
Factor -12*c**3 - 363*c**2 - 90*c.
-3*c*(c + 30)*(4*c + 1)
Factor 2*c**2 + 238*c/3 + 52.
2*(c + 39)*(3*c + 2)/3
Find f such that 2*f**3/3 + 70*f**2/3 + 196*f/3 + 128/3 = 0.
-32, -2, -1
Factor -5*y**4 + 850*y**3 - 47880*y**2 + 877230*y + 925965.
-5*(y - 57)**3*(y + 1)
Find d such that -9*d**5 + 465*d**4 - 1179*d**3 + 123*d**2 + 1188*d - 588 = 0.
-1, 2/3, 1, 2, 49
Factor -l**2/4 + 363*l/2 - 131769/4.
-(l - 363)**2/4
Determine t so that 2*t**4/5 + 4*t**3 + 66*t**2/5 + 88*t/5 + 8 = 0.
-5, -2, -1
Factor 2*l**2/13 - 18*l/13 - 20/13.
2*(l - 10)*(l + 1)/13
Factor 5*g**3 - 10*g**2 - 20*g + 40.
5*(g - 2)**2*(g + 2)
Let -2*h**3 + 98*h**2 + 308*h + 208 = 0. Calculate h.
-2, -1, 52
What is z in -85*z**3/2 + 155*z**2/2 + 285*z/2 + 45/2 = 0?
-1, -3/17, 3
Solve 8*b**5 - 98*b**4 + 320*b**3 - 122*b**2 - 436*b + 112 = 0 for b.
-1, 1/4, 2, 4, 7
Factor -4*k**3 - 72*k**2 + 252*k.
-4*k*(k - 3)*(k + 21)
Determine j, given that 2*j**2/3 + 14*j/3 + 8 = 0.
-4, -3
Factor 2*l**3/7 + 66*l**2/7 + 34*l + 174/7.
2*(l + 1)*(l + 3)*(l + 29)/7
Factor 5*c**4 + 75*c**3 - 5*c**2 - 75*c.
5*c*(c - 1)*(c + 1)*(c + 15)
Find m, given that -2*m**2/17 - 22*m - 1464/17 = 0.
-183, -4
Solve -o**4/6 + 25*o**3/3 + 89*o**2/2 + 218*o/3 + 110/3 = 0.
-2, -1, 55
What is x in -3*x**4/4 + 15*x**3/2 + 495*x**2/4 + 195*x/2 - 228 = 0?
-8, -2, 1, 19
Let -4*z**3 + 12*z**2 + 24*z - 32 = 0. What is z?
-2, 1, 4
Determine o, given that -2*o**5/9 - 64*o**4/9 - 38*o**3/3 + 20*o**2 = 0.
-30, -3, 0, 1
Find r such that r**4 - 17*r**3 + 31*r**2 - 15*r = 0.
0, 1, 15
What is f in -3*f**5 + 6*f**4 + 3*f**3 - 6*f**2 = 0?
-1, 0, 1, 2
Factor 5*c**5 - 1280*c**4 + 80630*c**3 + 165120*c**2 + 83205*c.
5*c*(c - 129)**2*(c + 1)**2
Factor -4*u**2/5 - 228*u + 2296/5.
-4*(u - 2)*(u + 287)/5
Factor -h**3 + 93*h**2.
-h**2*(h - 93)
Determine t, given that 3*t**3 - 24*t**2 - 183*t - 156 = 0.
-4, -1, 13
Let -3*j**3 - 6*j**2 + 48*j + 96 = 0. Calculate j.
-4, -2, 4
Factor -2*d**4/13.
-2*d**4/13
Suppose 45*k**3/4 - 137*k**2/4 + 3*k/2 = 0. Calculate k.
0, 2/45, 3
Factor -21*z**3 + 18*z**2 + 3*z.
-3*z*(z - 1)*(7*z + 1)
Factor -2*l**4 + 28*l**3 + 34*l**2 - 60*l.
-2*l*(l - 15)*(l - 1)*(l + 2)
Factor -5*l**2 - 175*l + 180.
-5*(l - 1)*(l + 36)
Let 4*g**4 - 280*g**3 + 5424*g**2 - 34216*g + 29068 = 0. What is g?
1, 13, 43
Solve q**2/4 + 1271*q/2 + 1615441/4 = 0.
-1271
Determine d, given that 16*d**4 + 12*d**3 - 196*d**2 + 48*d = 0.
-4, 0, 1/4, 3
Solve 8*c**3 + 106*c**2/3 + 112*c/3 + 10 = 0 for c.
-3, -1, -5/12
Factor m**2 - 593*m - 1190.
(m - 595)*(m + 2)
Let 33*n**4 + 291*n**3 + 441*n**2 + 141*n - 42 = 0. Calculate n.
-7, -1, 2/11
Factor h**2 + 6*h.
h*(h + 6)
Factor 4*q**4 - 33816*q**3 + 71470116*q**2.
4*q**2*(q - 4227)**2
Factor -3*h**3 + 12*h**2 + 393*h + 378.
-3*(h - 14)*(h + 1)*(h + 9)
Factor -i**2/3 + 2072*i/3 + 691.
-(i - 2073)*(i + 1)/3
Find x such that -x**3/4 + 7*x**2/2 - 16*x + 24 = 0.
4, 6
What is w in -5*w**2 + 590*w - 585 = 0?
1, 117
Solve -3*i**4/4 + 9*i**3 - 