at 13*k**3/4 - k**2/4 - 19*k/2 - 6 = 0.
-1, -12/13, 2
Factor -25*s**3/2 + 2955*s**2/2 - 295*s.
-5*s*(s - 118)*(5*s - 1)/2
Find c such that -4*c**2 - 272*c - 528 = 0.
-66, -2
Suppose 36*q**4 - 318*q**3 + 502*q**2 - 288*q + 56 = 0. Calculate q.
1/2, 2/3, 7
Determine s, given that -s**4/3 - 3*s**3 - 2*s**2 + 16*s/3 = 0.
-8, -2, 0, 1
Suppose -2*w**2/9 + 118*w/9 + 260/3 = 0. What is w?
-6, 65
Factor -2*b**2/7 + 21664*b/7 - 58666112/7.
-2*(b - 5416)**2/7
Factor y**3/2 + 87*y**2 + 172*y.
y*(y + 2)*(y + 172)/2
Find p such that -2*p**3/7 + 20*p**2/7 + 54*p/7 - 72/7 = 0.
-3, 1, 12
Factor -2*r**4 + 18*r**3 + 2*r**2 - 18*r.
-2*r*(r - 9)*(r - 1)*(r + 1)
Determine f, given that 9*f**2 - 120*f + 111 = 0.
1, 37/3
Factor 3*w**2 + 1356*w/7 - 585/7.
3*(w + 65)*(7*w - 3)/7
Find k such that -k**2/7 - 2*k - 45/7 = 0.
-9, -5
Find m, given that 8*m**5 - 12*m**4 - 4*m**3 + 12*m**2 - 4*m = 0.
-1, 0, 1/2, 1
Let -2*n**5/15 + 14*n**4/15 + 2*n**3/15 - 14*n**2/15 = 0. Calculate n.
-1, 0, 1, 7
Suppose 2*c**4 - 40*c**3/9 + 8*c**2/9 = 0. Calculate c.
0, 2/9, 2
Solve -4*z**2 - 60*z + 64 = 0 for z.
-16, 1
Factor -a**2/2 - 137*a/2 - 266.
-(a + 4)*(a + 133)/2
Factor 2*g**3 - 86*g**2.
2*g**2*(g - 43)
Suppose -2*r**2/5 - 468*r/5 - 466/5 = 0. Calculate r.
-233, -1
Solve 5*c**3 - 125*c**2 + 715*c + 845 = 0 for c.
-1, 13
Solve 4*j**5/5 + 18*j**4 + 32*j**3/5 - 262*j**2/5 + 48*j/5 + 88/5 = 0 for j.
-22, -2, -1/2, 1
What is z in -2*z**2 + 68*z + 70 = 0?
-1, 35
Factor -141*y**3/4 + 916*y**2 - 23777*y/4 - 169/2.
-(y - 13)**2*(141*y + 2)/4
Let 21*z**5/5 - 36*z**4/5 + 9*z**3/5 + 6*z**2/5 = 0. What is z?
-2/7, 0, 1
Find w such that 5*w**2 - 30*w - 35 = 0.
-1, 7
Solve -z**2/6 + 7*z/3 - 49/6 = 0.
7
Factor -c**2/5 - 16*c - 320.
-(c + 40)**2/5
Find b such that 27*b**5 - 600*b**4 - 4080*b**3 - 7920*b**2 - 4080*b + 1344 = 0.
-2, 2/9, 28
Suppose q**3/3 - 8*q**2/3 + 20*q/3 - 16/3 = 0. Calculate q.
2, 4
Factor t**2/4 + 45*t/4 - 47/2.
(t - 2)*(t + 47)/4
Factor 5*u**2 - 810*u + 32805.
5*(u - 81)**2
Factor 28561*v**2/3 + 338*v + 3.
(169*v + 3)**2/3
Let f**2/3 - 13*f - 42 = 0. Calculate f.
-3, 42
Factor j**2/3 + 208*j/3 - 140.
(j - 2)*(j + 210)/3
Determine s so that -3*s**2 + 18*s + 81 = 0.
-3, 9
What is v in 2*v**3/17 + 48*v**2/17 + 234*v/17 - 676/17 = 0?
-13, 2
Factor 16*j**2/3 + 166*j/3 + 50.
2*(j + 1)*(8*j + 75)/3
Factor 5*i**2 + 260*i.
5*i*(i + 52)
Let x**2 - 326*x + 1605 = 0. Calculate x.
5, 321
Find f such that -5*f**5/3 + 185*f**4/3 + 505*f**3 + 1135*f**2/3 - 1510*f/3 - 440 = 0.
-6, -1, 1, 44
Factor 2*x**3/7 + 2*x**2/7 - 20*x/7 + 16/7.
2*(x - 2)*(x - 1)*(x + 4)/7
Factor 288*p**3 - 120*p**2 + 17*p/2 - 1/6.
(3*p - 1)*(24*p - 1)**2/6
Suppose 6*q**2 - 21*q + 18 = 0. Calculate q.
3/2, 2
Factor -d**4 - 23*d**3 - 22*d**2.
-d**2*(d + 1)*(d + 22)
Determine y so that -3*y**5 + 87*y**4 - 585*y**3 - 675*y**2 = 0.
-1, 0, 15
Factor -16*z**2 + 156*z + 172.
-4*(z + 1)*(4*z - 43)
Find k, given that -5*k**3 + 60*k**2 - 180*k + 160 = 0.
2, 8
Solve -5*d**4 - 105*d**3 - 495*d**2 + 605*d = 0.
-11, 0, 1
Determine h so that -h**3/3 + 8*h**2/3 - 7*h/3 = 0.
0, 1, 7
Determine l so that 45*l**4 - 130*l**3 + 75*l**2 + 10*l = 0.
-1/9, 0, 1, 2
Let -39*x**5 + 41*x**4 + 37*x**3 - 41*x**2 + 2*x = 0. What is x?
-1, 0, 2/39, 1
Determine d, given that d**3/7 + 8*d**2/7 + 20*d/7 + 16/7 = 0.
-4, -2
Suppose g**5 - 204*g**4 + 12725*g**3 - 226186*g**2 + 415008*g - 201344 = 0. What is g?
1, 26, 88
Solve -4*q**4 - 56*q**3/3 - 80*q**2/3 - 32*q/3 = 0 for q.
-2, -2/3, 0
Let 2*n**4 - 46*n**3 - 208*n**2 - 216*n = 0. What is n?
-2, 0, 27
What is c in -c**3 + 44*c**2 - 241*c - 666 = 0?
-2, 9, 37
Solve 2*t**3/7 - 4*t**2/7 - 40*t/7 - 48/7 = 0.
-2, 6
Solve -4*g**2/9 + 1208*g/9 = 0 for g.
0, 302
Factor l**4/4 + 2*l**3 - 45*l**2/4 + 9*l.
l*(l - 3)*(l - 1)*(l + 12)/4
Determine q so that -12*q**5 - 20*q**4 + 8*q**3 + 24*q**2 + 4*q - 4 = 0.
-1, 1/3, 1
Suppose d**4/5 + 15*d**3 + 541*d**2/5 + 57*d - 670 = 0. What is d?
-67, -5, 2
Factor 2*j**2 - 28*j.
2*j*(j - 14)
Factor -2*d**2/3 + 14*d - 160/3.
-2*(d - 16)*(d - 5)/3
Factor h**5 + h**4 - 3*h**3 - h**2 + 2*h.
h*(h - 1)**2*(h + 1)*(h + 2)
Determine p, given that -21*p**5 + 36*p**4 + 75*p**3 - 150*p**2 + 36*p + 24 = 0.
-2, -2/7, 1, 2
Find f such that -f**3/3 + 13*f**2/3 + 28*f + 36 = 0.
-3, -2, 18
Determine i, given that i**2/6 - 5*i + 28/3 = 0.
2, 28
Let -3*n**2 + 60*n - 57 = 0. What is n?
1, 19
Solve -2*y**2/17 - 84*y/17 = 0.
-42, 0
Determine w, given that -3*w**2/4 + 27*w/4 + 39 = 0.
-4, 13
Factor h**2/5 + 31*h/5.
h*(h + 31)/5
Solve 2*m**4/11 + 10*m**3/11 + 14*m**2/11 + 6*m/11 = 0 for m.
-3, -1, 0
Factor 2*p**3/11 - 162*p**2/11 + 160*p/11.
2*p*(p - 80)*(p - 1)/11
Determine l so that 5*l**5/2 + 35*l**4/2 + 55*l**3/2 + 25*l**2/2 = 0.
-5, -1, 0
Suppose 10*w**3 + 676*w**2 - 2402*w + 852 = 0. Calculate w.
-71, 2/5, 3
Factor -2*h**4 - 2*h**3 + 6*h**2 + 10*h + 4.
-2*(h - 2)*(h + 1)**3
Determine z, given that 2*z**5/3 + 490*z**4/3 - 986*z**3/3 + 494*z**2/3 = 0.
-247, 0, 1
Let -7*v**3 + 97*v**2 + 119*v + 15 = 0. Calculate v.
-1, -1/7, 15
Let -3*x**5 + 57*x**4/7 + 39*x**3/7 - 57*x**2/7 - 18*x/7 = 0. Calculate x.
-1, -2/7, 0, 1, 3
Solve f**5 - 12*f**4 + 43*f**3 - 36*f**2 - 44*f + 48 = 0 for f.
-1, 1, 2, 4, 6
What is r in -5*r**4/6 + 5*r**3 - 25*r**2/6 = 0?
0, 1, 5
Find f such that f**5 - 92*f**4 + 435*f**3 = 0.
0, 5, 87
Factor 5*w**5 - 40*w**4 + 75*w**3.
5*w**3*(w - 5)*(w - 3)
Factor 2*x**3 - 32*x**2 - 618*x + 648.
2*(x - 27)*(x - 1)*(x + 12)
Factor 5*y**5/3 + 35*y**4/3 + 55*y**3/3 + 25*y**2/3.
5*y**2*(y + 1)**2*(y + 5)/3
Suppose 2*d**2 + 8*d + 8 = 0. What is d?
-2
Determine a so that -3*a**2/4 - 273*a/4 - 135/2 = 0.
-90, -1
Solve -3*k**2/2 + 66*k - 240 = 0 for k.
4, 40
Solve 7*y**3 + 243*y**2 - 70*y = 0.
-35, 0, 2/7
What is p in 605*p**5 - 1705*p**4 - 105*p**3 + 2205*p**2 = 0?
-1, 0, 21/11
Determine w, given that -w**5 + 3*w**4 + 2*w**3 - 6*w**2 - w + 3 = 0.
-1, 1, 3
What is h in 2*h**2/7 - 34*h/7 - 36/7 = 0?
-1, 18
What is o in 5*o**4 + 305*o**3 - 2325*o**2 + 3715*o - 1700 = 0?
-68, 1, 5
Factor -2*m**4 - 4*m**3.
-2*m**3*(m + 2)
Factor 4*v**3/3 + 1364*v**2/3 + 39872*v + 188160.
4*(v + 5)*(v + 168)**2/3
Factor 2*m**2/9 + 152*m/9 + 296/9.
2*(m + 2)*(m + 74)/9
What is a in -3*a**4 + 66*a**2 + 72*a - 135 = 0?
-3, 1, 5
Solve 4*n**4 + 340*n**3 - 348*n**2 - 340*n + 344 = 0.
-86, -1, 1
Factor 3*g**2 + 1470*g - 1473.
3*(g - 1)*(g + 491)
Determine r so that -2*r**2/7 + 792*r/7 - 2358/7 = 0.
3, 393
Factor -2*i**4/3 + 220*i**3 + 664*i**2 + 1996*i/3 + 222.
-2*(i - 333)*(i + 1)**3/3
Factor 2*i**5/7 + 16*i**4/7 + 36*i**3/7 + 32*i**2/7 + 10*i/7.
2*i*(i + 1)**3*(i + 5)/7
Find v, given that -v**5/2 + 47*v**4 - 1005*v**3 - 4750*v**2 - 2989*v/2 + 7203 = 0.
-3, -2, 1, 49
Factor o**2 + 3949*o - 3950.
(o - 1)*(o + 3950)
Factor -3*g**3 - 4*g**2 + 17*g + 6.
-(g - 2)*(g + 3)*(3*g + 1)
Solve -10*s**5/21 - 32*s**4/7 + 10*s**3/21 + 184*s**2/7 - 72*s/7 = 0 for s.
-9, -3, 0, 2/5, 2
Solve 18*n**4 - 382*n**3 + 66*n**2 + 382*n - 84 = 0.
-1, 2/9, 1, 21
Determine h, given that 4*h**3 - 56*h**2 - 124*h - 64 = 0.
-1, 16
Determine d, given that -5*d**5 + 60*d**4 - 180*d**3 + 160*d**2 = 0.
0, 2, 8
What is f in -5*f**3/4 - 10*f**2 - 35*f/4 = 0?
-7, -1, 0
Find f such that 2*f**5/3 + 44*f**4/15 + 56*f**3/15 + 16*f**2/15 = 0.
-2, -2/5, 0
Factor f**3 + 108*f**2 + 3888*f + 46656.
(f + 36)**3
Solve -5*y**2 + 175*y = 0 for y.
0, 35
Factor 52*c**3 - 16*c**2 - 656*c + 960.
4*(c - 2)*(c + 4)*(13*c - 30)
Determine b so that -6*b**3/17 - 104*b**2/17 - 214*b/17 - 60/17 = 0.
-15, -2, -1/3
Find v, given that -2*v**2 + 12*v + 54 = 0.
-3, 9
Factor o**3 - 23*o**2/4 + 7*o/2 + 5/4.
(o - 5)*(o - 1)*(4*o + 1)/4
Factor 21*n**4 + 174*n**3 + 321*n**2 + 204*n + 36.
3*(n + 1)**2*(n + 6)*(7*n + 2)
Determine c, given that -4*c**4 + 64*c**3/7 + 124*c**2/7 - 208*c/7 + 48/7 = 0.
-2, 2/7, 1, 3
Let -20*g**3 + 1015*g**2 - 5145*g - 1350 = 0. Calculate g.
-1/4, 6, 45
Factor 6*p**2/7 + 2*p + 8/7.
2*(p + 1)*(3*p + 4)/7
Find s such that 4*s**2/5 - 28*s/5 = 0.
0, 7
Determine w so that w**4 - 72*w**3 + 1621*w**2 - 9918*w - 26912 = 0.
-2, 16, 29
Factor -f**3 + 1530*f**2 - 585225*f.
-f*(f - 765)**2
Find z, given that -2*z**4 - 42*z**3 - 162*z**2 + 1458*z + 8748 = 0.
-9, 6
Factor -a**5 + 54*a**4 - 972*a**3 + 5832*a**2.
-a**2*(a - 18)**3
Factor 4*f**5 - 28*f**4 + 48*f**3 + 16*f**2 - 64*f.
4*f*(f -