Determine k so that -3*k**2/2 - 165*k - 1575/2 = 0.
-105, -5
Let 2*m**2 + 56*m - 330 = 0. What is m?
-33, 5
Find s such that -2*s**3 - 900*s**2 + 1806*s - 904 = 0.
-452, 1
Suppose 6*n**4/7 - 8*n**3/7 - 2*n**2 + 8*n/7 + 8/7 = 0. Calculate n.
-1, -2/3, 1, 2
Let 2*w**3 + 22*w**2 + 72*w + 72 = 0. Calculate w.
-6, -3, -2
Let i**2 - 10*i + 16 = 0. Calculate i.
2, 8
Factor 4*v**4 + 124*v**3.
4*v**3*(v + 31)
Factor -3*a**2/7 - 33564*a/7 - 93878508/7.
-3*(a + 5594)**2/7
Let 5*q**4 - 105*q**2 - 100*q = 0. What is q?
-4, -1, 0, 5
Find l, given that -1521*l**2 - 312*l - 16 = 0.
-4/39
Factor -2*a**2/7 + 930*a/7.
-2*a*(a - 465)/7
Factor -m**4 - 2*m**3 + 3*m**2 + 8*m + 4.
-(m - 2)*(m + 1)**2*(m + 2)
Determine o, given that -o**3/7 - 47*o**2/7 - 134*o/7 - 88/7 = 0.
-44, -2, -1
Determine s so that -3*s**3/5 + 27*s/5 = 0.
-3, 0, 3
Find d such that -4*d**3 - 240*d**2 + 1836*d - 2680 = 0.
-67, 2, 5
What is m in -5*m**5/2 + m**4 + 40*m**3 - 16*m**2 = 0?
-4, 0, 2/5, 4
Solve 22*t**5 + 130*t**4 - 12*t**3 - 1188*t**2 - 1674*t + 162 = 0 for t.
-3, 1/11, 3
Find g, given that -g**3/7 + 5*g**2/7 + 31*g - 221/7 = 0.
-13, 1, 17
Suppose z**5/7 - 75*z**4/7 + 494*z**3/7 - 1244*z**2/7 + 1368*z/7 - 544/7 = 0. Calculate z.
1, 2, 68
Factor 2*n**2/11 - 124*n/11 + 240/11.
2*(n - 60)*(n - 2)/11
Determine h so that h**5 + 16*h**4/3 - 13*h**3/3 - 2*h**2 = 0.
-6, -1/3, 0, 1
Factor 5*a**4 + 110*a**3 - 240*a**2.
5*a**2*(a - 2)*(a + 24)
Factor -g**5/5 + 3*g**3/5 - 2*g**2/5.
-g**2*(g - 1)**2*(g + 2)/5
Factor -3*u**4 + 15*u**3 + 39*u**2 + 21*u.
-3*u*(u - 7)*(u + 1)**2
Suppose -n**2/6 + 31*n/3 - 61/6 = 0. Calculate n.
1, 61
Determine g so that -g**2/3 + 3*g - 8/3 = 0.
1, 8
Solve -2*w**3/13 + 2*w**2/13 + 2*w/13 - 2/13 = 0 for w.
-1, 1
Factor -j**4/7 - j**3 + 22*j**2 + 160*j/7.
-j*(j - 10)*(j + 1)*(j + 16)/7
Suppose 2*v**5/7 + 1412*v**4/7 - 2*v**3/7 - 1412*v**2/7 = 0. What is v?
-706, -1, 0, 1
Factor 3*q**4 - 42*q**3 - 96*q**2.
3*q**2*(q - 16)*(q + 2)
Factor -w**2/10 - 407*w/5 - 165649/10.
-(w + 407)**2/10
Factor -2*d**4/7 - 8*d**3/7 - 6*d**2/7.
-2*d**2*(d + 1)*(d + 3)/7
Factor -3*f**5 - 147*f**4 - 2298*f**3 - 9690*f**2 + 26877*f - 14739.
-3*(f - 1)**2*(f + 17)**3
Solve 9*m**3/8 + 87*m**2/8 + 45*m/2 + 21/2 = 0 for m.
-7, -2, -2/3
Suppose -3*w**3 + w**2 + 3*w - 1 = 0. What is w?
-1, 1/3, 1
Let -4*r**3 - 2340*r**2 - 341052*r + 343396 = 0. Calculate r.
-293, 1
Solve 3*i**3 + 6*i**2 - 9*i = 0 for i.
-3, 0, 1
Find t such that 2*t**4 - 60*t**3 + 454*t**2 - 1116*t + 720 = 0.
1, 3, 6, 20
What is h in 48*h**2 + 24484*h + 2040 = 0?
-510, -1/12
Factor 2*n**2/3 - 224*n/3 - 928/3.
2*(n - 116)*(n + 4)/3
Factor 2*z**2 - 20*z + 50.
2*(z - 5)**2
Factor b**2/5 - 74*b/5 + 1369/5.
(b - 37)**2/5
Suppose q**3 - 9*q**2 + 26*q - 24 = 0. Calculate q.
2, 3, 4
Determine r, given that 2*r**2 + 196*r + 4802 = 0.
-49
Factor -2*k**2/7 - 172*k/7 - 170/7.
-2*(k + 1)*(k + 85)/7
What is b in -3*b**4/7 - 9*b**3/7 + 6*b**2/7 + 36*b/7 + 24/7 = 0?
-2, -1, 2
Factor -q**4/3 - 11*q**3/3 + 55*q**2/3 - 73*q/3 + 10.
-(q - 2)*(q - 1)**2*(q + 15)/3
Factor 3*a**2 - 198*a + 195.
3*(a - 65)*(a - 1)
Find f, given that 5*f**4/3 + 400*f**3/3 + 515*f**2 + 1910*f/3 + 760/3 = 0.
-76, -2, -1
Factor 2*z**4/9 - 4*z**3/9 - 8*z**2/9 + 16*z/9.
2*z*(z - 2)**2*(z + 2)/9
Factor -3*a**5/5 + 48*a**4/5 - 72*a**3/5 - 192*a**2 - 240*a.
-3*a*(a - 10)**2*(a + 2)**2/5
Let -5*r**3 - 215*r**2 - 755*r + 975 = 0. What is r?
-39, -5, 1
Factor -5*i**2 + 5*i + 30.
-5*(i - 3)*(i + 2)
Let -34*v**4/3 - 1826*v**3/3 - 8074*v**2 + 2862*v + 5832 = 0. What is v?
-27, -12/17, 1
Suppose c**4/3 - 32*c**3 + 266*c**2 - 1280*c/3 - 725 = 0. Calculate c.
-1, 5, 87
Factor -i**3/2 + 71*i**2 - 419*i/2 + 139.
-(i - 139)*(i - 2)*(i - 1)/2
Factor -x**2/2 + 34*x + 69/2.
-(x - 69)*(x + 1)/2
Factor -2*h**2/3 - 18*h - 52/3.
-2*(h + 1)*(h + 26)/3
Factor -2*b**2 + 5942*b - 5940.
-2*(b - 2970)*(b - 1)
Let -2*p**5/9 + 4*p**4/9 + 2*p**3/3 - 16*p**2/9 + 8*p/9 = 0. What is p?
-2, 0, 1, 2
Let -t**4 - 50*t**3 = 0. What is t?
-50, 0
Let 6*d**3/5 + 112*d**2 - 1542*d/5 - 576/5 = 0. Calculate d.
-96, -1/3, 3
Factor 2*w**4 - 10*w**3 - 26*w**2 - 14*w.
2*w*(w - 7)*(w + 1)**2
What is n in 2*n**2/3 - 4*n + 16/3 = 0?
2, 4
Factor -y**2/4 - 89*y - 7921.
-(y + 178)**2/4
Suppose u**5/5 - 4*u**4/5 + 6*u**3/5 - 4*u**2/5 + u/5 = 0. Calculate u.
0, 1
Factor -2*u**2/11 + 116*u/11 - 1682/11.
-2*(u - 29)**2/11
Let -5*b**4/2 - 967*b**3/2 + 292*b**2 + 194*b = 0. Calculate b.
-194, -2/5, 0, 1
Suppose -2*l**5 + 68*l**4 - 36*l**3 - 944*l**2 - 1498*l - 660 = 0. Calculate l.
-2, -1, 5, 33
Suppose -108*c**4 + 861*c**3/2 - 534*c**2 + 417*c/2 + 3 = 0. Calculate c.
-1/72, 1, 2
Factor x**5/4 + 7*x**4/4 + 3*x**3 - 4*x**2 - 16*x - 12.
(x - 2)*(x + 2)**3*(x + 3)/4
Solve -x**2 + 314*x + 315 = 0 for x.
-1, 315
Determine y, given that 4*y**3 - 64*y**2 + 180*y + 648 = 0.
-2, 9
Suppose 3*a**5 - 12*a**4 + 18*a**3 - 12*a**2 + 3*a = 0. What is a?
0, 1
Solve -y**4/4 - y**3/2 + y**2/4 + y/2 = 0.
-2, -1, 0, 1
Factor -2*b**3 + 10*b**2 + 2*b - 10.
-2*(b - 5)*(b - 1)*(b + 1)
Factor -g**3/5 - 31*g**2 - 7747*g/5 - 122793/5.
-(g + 33)*(g + 61)**2/5
Determine b, given that -3*b**5 + 63*b**4 - 273*b**3 - 27*b**2 + 1032*b + 720 = 0.
-1, 4, 15
Solve -3*c**5/5 - 24*c**4/5 + 288*c**3/5 + 2064*c**2/5 + 4272*c/5 + 576 = 0 for c.
-12, -2, 10
Solve -2*a**5/5 - 4*a**4/5 + 2*a**3/5 + 4*a**2/5 = 0.
-2, -1, 0, 1
Factor 3*x**2/5 + 15*x - 672/5.
3*(x - 7)*(x + 32)/5
Factor -4*u**2/7 + 2740*u/7 + 11024/7.
-4*(u - 689)*(u + 4)/7
Let 2*f**5/3 + 2*f**4/3 - 20*f**3/3 - 20*f**2/3 + 6*f + 6 = 0. Calculate f.
-3, -1, 1, 3
Determine p, given that p**4 + 17*p**3 - 57*p**2 + 59*p - 20 = 0.
-20, 1
Let -5*y**3 + 135*y**2 + 11400*y + 134000 = 0. Calculate y.
-20, 67
Let -16*w**4/5 + 9732*w**3/5 - 4368*w**2 + 14548*w/5 - 2424/5 = 0. What is w?
1/4, 1, 606
Find a, given that 5*a**2 + 115*a - 700 = 0.
-28, 5
Factor 3*g**3/2 + 99*g**2 - 3*g/2 - 99.
3*(g - 1)*(g + 1)*(g + 66)/2
Factor -4*p**5 + 200*p**4 + 624*p**3 + 632*p**2 + 212*p.
-4*p*(p - 53)*(p + 1)**3
Factor 338*d**3 - 988*d**2 + 696*d - 144.
2*(d - 2)*(13*d - 6)**2
Factor p**2 - 31*p + 184.
(p - 23)*(p - 8)
Find x such that -40*x**2 + 965*x - 120 = 0.
1/8, 24
Factor -3*r**4 + 33*r**3 - 12*r**2 - 180*r.
-3*r*(r - 10)*(r - 3)*(r + 2)
Let -3*x**3 + 10*x**2 + 23*x + 10 = 0. Calculate x.
-1, -2/3, 5
What is w in 5*w**3 - 9*w**2 - 17*w - 3 = 0?
-1, -1/5, 3
Find w, given that w**2/5 + 24*w/5 = 0.
-24, 0
Factor 5*l**2 + 1295*l + 2570.
5*(l + 2)*(l + 257)
Factor i**2/5 - 11346*i/5 + 32182929/5.
(i - 5673)**2/5
Determine o so that 4*o**4 + 240*o**3 + 3352*o**2 - 7440*o + 3844 = 0.
-31, 1
Factor i**3 - 22*i**2 - 23*i.
i*(i - 23)*(i + 1)
Factor -183*v**2 + 705*v + 108.
-3*(v - 4)*(61*v + 9)
Factor -14*m**2/11 + 16*m/11 + 30/11.
-2*(m + 1)*(7*m - 15)/11
Factor w**3/3 - 17*w**2/3 - 4*w/3 + 68/3.
(w - 17)*(w - 2)*(w + 2)/3
Determine l, given that 75*l**5/2 - 365*l**4/2 + 175*l**3/2 + 405*l**2/2 - 125*l - 20 = 0.
-1, -2/15, 1, 4
Factor g**2/4 + 18*g + 99.
(g + 6)*(g + 66)/4
Factor -u**4/2 - 3*u**3 + 31*u**2/2 + 18*u.
-u*(u - 4)*(u + 1)*(u + 9)/2
Solve y**2/7 + 1012*y/7 + 256036/7 = 0 for y.
-506
Factor -2*p**3 - 70*p**2 + 1426*p + 51894.
-2*(p - 27)*(p + 31)**2
Find g, given that 2*g**3/7 + 10*g**2/7 - 2*g/7 - 10/7 = 0.
-5, -1, 1
Factor 2*h**2/7 + 26*h/7 + 60/7.
2*(h + 3)*(h + 10)/7
Determine b so that b**2/4 - 9*b/4 - 55 = 0.
-11, 20
Factor 4*d**4 - 144*d**3 + 1688*d**2 - 7056*d + 5508.
4*(d - 17)*(d - 9)**2*(d - 1)
Factor -2*f**2 + 348*f/7 + 50/7.
-2*(f - 25)*(7*f + 1)/7
Find m, given that 3*m**3 - 12*m**2 - 15*m = 0.
-1, 0, 5
Factor -d**2/4 - 57*d/4 - 14.
-(d + 1)*(d + 56)/4
What is u in u**5/4 + 4*u**4 + 77*u**3/4 + 67*u**2/2 + 18*u = 0?
-9, -4, -2, -1, 0
Factor -r**5 + 27*r**4 - 240*r**3 + 700*r**2.
-r**2*(r - 10)**2*(r - 7)
Determine u so that 8*u**5 - 2*u**4 - 8*u**3 + 2*u**2 = 0.
-1, 0, 1/4, 1
Suppose h**5/2 + 73*h**4/2 + 1435*h**3/2 + 3671*h**2/2 - 140*h - 2450 = 0. What is h?
-35, -2, 1
Factor 10*g**3 - 185*g**2 - 125*g + 570.
5*(g - 19)*(g + 2)*(2*g - 3)
Factor -2*c**3/7 + 198*c**2/7 + 816*c/7 + 824/7.
-2*(c - 103)*(c + 2)**2/7
Solve 144*t**2 + 140*t - 4 = 0 for t.
-1, 1/36
Factor -v**2/5 - 64*v/5 - 63/5.
-(v + 1)*(v + 63)/5
Find i, given that 6*i**5 - 38*i**4 + 50*i**3 + 70*i**2 - 96*i - 72 = 0.
-1, -2/3, 2, 3
Suppose 2*s**4 + 20*s**3