+ 5041/3.
(i + 71)**2/3
Factor 2*i**2/23 - 238*i/23 - 1764/23.
2*(i - 126)*(i + 7)/23
Factor j**4/4 - 13*j**3/4 + 11*j**2/4 + 13*j/4 - 3.
(j - 12)*(j - 1)**2*(j + 1)/4
Find w, given that -5*w**3 - 705*w**2 - 33135*w - 519115 = 0.
-47
Factor -289*h**3/4 + 799*h**2/4 + 50*h + 3.
-(h - 3)*(17*h + 2)**2/4
Suppose 5*k**5/2 + 5*k**4 - 30*k**3 - 45*k**2 + 135*k/2 = 0. What is k?
-3, 0, 1, 3
Factor -5*u**4 + 30*u**3 + 240*u**2 + 370*u + 165.
-5*(u - 11)*(u + 1)**2*(u + 3)
Find d such that -34*d**5 + 422*d**4 + 2028*d**3 + 3212*d**2 + 2198*d + 558 = 0.
-1, 279/17
Let i**4/5 + 16*i**3/5 - 37*i**2 + 168*i/5 = 0. What is i?
-24, 0, 1, 7
Determine x so that 5*x**2 - 70*x - 160 = 0.
-2, 16
Factor 3*n**2 - 11802*n + 11607267.
3*(n - 1967)**2
Find m, given that -m**3/3 + 17*m**2/3 - 80*m/3 + 100/3 = 0.
2, 5, 10
Find k such that -3*k**4 - 6*k**3 + 69*k**2 + 72*k - 432 = 0.
-4, 3
Determine a, given that -a**4 + 40*a**3 + 88*a**2 - 160*a - 336 = 0.
-2, 2, 42
Solve x**2/3 - 7*x/3 - 48 = 0.
-9, 16
Factor 3*o**2 + 768*o + 49152.
3*(o + 128)**2
Suppose -3*z**2 - 168*z + 531 = 0. Calculate z.
-59, 3
Factor -d**4 - d**3 + 3*d**2 + d - 2.
-(d - 1)**2*(d + 1)*(d + 2)
Find t, given that -t**3 + 38*t**2 + t - 38 = 0.
-1, 1, 38
Solve -i**2 - 240*i - 14400 = 0 for i.
-120
Suppose -3*x**2 - 7074*x - 4170123 = 0. Calculate x.
-1179
Determine u, given that -u**3/7 - 74*u**2/7 = 0.
-74, 0
Factor -3*g**2 - 57*g - 54.
-3*(g + 1)*(g + 18)
Factor 2*w**3/3 + 40*w**2/3 + 158*w/3 + 40.
2*(w + 1)*(w + 4)*(w + 15)/3
Suppose -t**5/3 - 4*t**4/3 + 4*t**3 + 22*t**2/3 - 59*t/3 + 10 = 0. What is t?
-5, -3, 1, 2
Factor 15*k**4 - 1100*k**3 + 2455*k**2 + 2130*k.
5*k*(k - 71)*(k - 3)*(3*k + 2)
Suppose 40*c**5 - 2334*c**4 + 5270*c**3 - 296*c**2 - 2232*c - 448 = 0. What is c?
-2/5, -1/4, 1, 2, 56
Find t, given that -t**4 + 45*t**3 + 408*t**2 + 848*t = 0.
-4, 0, 53
Factor -3*r**4 - 36*r**3 - 60*r**2.
-3*r**2*(r + 2)*(r + 10)
Factor 2*a**5/7 - 22*a**4/7 + 90*a**3/7 - 162*a**2/7 + 108*a/7.
2*a*(a - 3)**3*(a - 2)/7
Factor d**2/2 - 22*d + 242.
(d - 22)**2/2
Factor 5*c**4 - 110*c**3 + 185*c**2 + 4620*c + 8820.
5*(c - 14)**2*(c + 3)**2
Solve 2*d**2/3 - 2*d - 36 = 0.
-6, 9
Factor -x**3/8 - 5*x**2/2 + x/8 + 5/2.
-(x - 1)*(x + 1)*(x + 20)/8
Find p such that -14*p**4/5 - 452*p**3/5 - 1374*p**2/5 - 1168*p/5 - 232/5 = 0.
-29, -2, -1, -2/7
Determine r so that 105*r**3/2 - 325*r**2/2 + 120*r - 10 = 0.
2/21, 1, 2
Factor f**3/6 + 17*f**2/6 + 8*f/3.
f*(f + 1)*(f + 16)/6
Let -722*m**5/9 - 3724*m**4/9 - 5144*m**3/9 + 752*m**2/9 + 3328*m/9 - 1024/9 = 0. What is m?
-2, 8/19
Let -9*b**4/2 - 57*b**3 - 249*b**2/2 - 42*b + 30 = 0. What is b?
-10, -2, -1, 1/3
Factor -b**2/5 - 141*b/5 - 28.
-(b + 1)*(b + 140)/5
Factor 1444*f**2 - 3344*f + 1936.
4*(19*f - 22)**2
Let -486*l**3 - 11772*l**2 - 75048*l - 44944 = 0. What is l?
-106/9, -2/3
Factor i**4/2 + 9*i**3/2 + 7*i**2 - 12*i.
i*(i - 1)*(i + 4)*(i + 6)/2
Factor -4*d**2/9 + 1880*d/3 - 220900.
-4*(d - 705)**2/9
Factor 5*w**5 - 160*w**4 - 180*w**3 + 470*w**2 + 815*w + 330.
5*(w - 33)*(w - 2)*(w + 1)**3
Factor -3*l**3 - 4389*l**2 - 4386*l.
-3*l*(l + 1)*(l + 1462)
Determine b so that -b**5 + 867*b**4 - 189216*b**3 + 559872*b**2 = 0.
0, 3, 432
Solve 2*j**5/3 - 44*j**4/3 + 120*j**3 - 432*j**2 + 576*j = 0 for j.
0, 4, 6
Let 4*m**3/3 + 104*m**2/3 + 512*m/3 + 640/3 = 0. Calculate m.
-20, -4, -2
Solve -n**5 - 34*n**4 - 95*n**3 - 62*n**2 = 0.
-31, -2, -1, 0
Factor -4*o**2 + 1248*o - 97344.
-4*(o - 156)**2
Factor h**2/2 + 229*h + 52441/2.
(h + 229)**2/2
Factor -3*l**2/5 + 216*l/5 - 3888/5.
-3*(l - 36)**2/5
Factor 2*z**4 - 120*z**3 + 2216*z**2 - 12480*z + 21632.
2*(z - 26)**2*(z - 4)**2
Find y, given that 2*y**4 + 10*y**3 - 44*y**2 + 32*y = 0.
-8, 0, 1, 2
Suppose 8*a**3/7 + 2538*a**2/7 - 1910*a/7 - 636/7 = 0. What is a?
-318, -1/4, 1
Let 3*k**4 + 21*k**3 + 51*k**2 + 51*k + 18 = 0. Calculate k.
-3, -2, -1
Factor -k**3 + 3*k**2 + 4*k.
-k*(k - 4)*(k + 1)
Factor -b**4/6 - 7*b**3/6 - 3*b**2/2 + 9*b/2 + 9.
-(b - 2)*(b + 3)**3/6
Factor -2037*j**2/4 - 3*j.
-3*j*(679*j + 4)/4
Determine q so that 5*q**4 + 125*q**3 + 840*q**2 + 720*q = 0.
-12, -1, 0
Suppose -n**2/6 + 431*n/3 - 185761/6 = 0. Calculate n.
431
Factor h**2/4 + h + 1.
(h + 2)**2/4
Factor -i**3/3 - 14*i**2/3 - 25*i/3 - 4.
-(i + 1)**2*(i + 12)/3
Factor 2*t**5 + 30*t**4 + 78*t**3 + 74*t**2 + 24*t.
2*t*(t + 1)**3*(t + 12)
Suppose 2*k**2/11 + 10*k/11 - 168/11 = 0. Calculate k.
-12, 7
Find s, given that 5*s**5 + 20*s**4 - 835*s**3 - 90*s**2 + 41580*s - 130680 = 0.
-11, 6
Factor 2*p**2/3 - 10*p/3.
2*p*(p - 5)/3
Let -25*m**5/3 + 16030*m**4/3 - 3421864*m**3/3 + 242263408*m**2/3 + 195457328*m/3 + 39201376/3 = 0. What is m?
-2/5, 214
Let 6*g**2 - 80*g + 26 = 0. What is g?
1/3, 13
Find x, given that -x**4/6 - x**3 + 67*x**2/6 - 10*x = 0.
-12, 0, 1, 5
Let 2*d**4/5 - 72*d**3/5 + 872*d**2/5 - 4032*d/5 + 6272/5 = 0. What is d?
4, 14
Determine n so that 3*n**3 - 39*n**2 + 141*n - 105 = 0.
1, 5, 7
Factor -3*k**2 + 414*k - 14283.
-3*(k - 69)**2
Determine x, given that -40*x**5 + 8*x**4 + 78*x**3 + 4*x**2 - 38*x - 12 = 0.
-1, -1/2, 1, 6/5
Find g such that 3*g**4 - 27*g**3 + 45*g**2 + 75*g = 0.
-1, 0, 5
Determine p, given that p**5 + 35*p**4/3 - 53*p**3/3 - 11*p**2/3 + 26*p/3 = 0.
-13, -2/3, 0, 1
Factor 2*q**2/3 + 64*q/3.
2*q*(q + 32)/3
Factor -d**2/3 + 17*d/3 - 16/3.
-(d - 16)*(d - 1)/3
What is y in -5*y**3 + 1185*y**2 - 93615*y + 2465195 = 0?
79
Factor 4*z**2/5 + 52*z + 744/5.
4*(z + 3)*(z + 62)/5
Let -311364*q**5/7 - 627192*q**4/7 - 320308*q**3/7 - 4496*q**2/7 - 16*q/7 = 0. What is q?
-1, -2/279, 0
Determine a, given that 2*a**3 + 152*a**2 - 664*a - 1920 = 0.
-80, -2, 6
Factor -p**2/7 + 208*p/7 + 2180/7.
-(p - 218)*(p + 10)/7
What is m in -49*m**5/4 - 301*m**4 - 2521*m**3 - 7640*m**2 - 3776*m - 512 = 0?
-8, -2/7
Factor -3*d**2/4 - 87*d/4 - 81/2.
-3*(d + 2)*(d + 27)/4
Factor -2*c**4 + 20*c**3 - 62*c**2 + 60*c.
-2*c*(c - 5)*(c - 3)*(c - 2)
Factor -f**4 - 92*f**3 + 188*f**2.
-f**2*(f - 2)*(f + 94)
Factor 14*z**2/9 + 110*z/9 - 100.
2*(z - 5)*(7*z + 90)/9
Factor -2*d**2/9 - 80*d/9 + 1750/3.
-2*(d - 35)*(d + 75)/9
Find q such that -3*q**3/2 - 15*q**2 + 48*q + 576 = 0.
-8, 6
Determine j, given that -16875*j**5 + 34050*j**4 - 52429*j**3/3 + 908*j**2/3 - 4*j/3 = 0.
0, 2/225, 1
Determine x so that 15*x**2/2 + 27*x/4 - 3/4 = 0.
-1, 1/10
Factor -800*t**3 + 1602*t**2 - 804*t + 2.
-2*(t - 1)**2*(400*t - 1)
Determine p so that -4*p**4 - 100*p**3 - 664*p**2 - 384*p + 1152 = 0.
-12, -2, 1
Suppose -16*t**5 + 206*t**4 + 1418*t**3 + 1182*t**2 - 2466*t - 324 = 0. Calculate t.
-3, -1/8, 1, 18
Factor 2*b**2 + 90*b - 92.
2*(b - 1)*(b + 46)
What is q in -4*q**2 - 1472*q + 1476 = 0?
-369, 1
Let -5*q**3 - 685*q**2 - 23115*q + 23805 = 0. Calculate q.
-69, 1
Find o such that 2*o**3 + 84*o**2 + 378*o + 296 = 0.
-37, -4, -1
What is p in 2*p**3 + 52*p**2 - 232*p + 240 = 0?
-30, 2
Factor 4*i**5/3 - 200*i**4/3 - 208*i**3 - 632*i**2/3 - 212*i/3.
4*i*(i - 53)*(i + 1)**3/3
Suppose 2*b**3/7 - 2*b/7 = 0. Calculate b.
-1, 0, 1
Factor 2*w**2/5 - 32*w/5 - 34/5.
2*(w - 17)*(w + 1)/5
What is u in u**4/6 + 7*u**3/2 + 131*u**2/6 + 57*u/2 - 54 = 0?
-9, -4, 1
Factor 9*b**4 + 93*b**3 + 111*b**2 + 27*b.
3*b*(b + 1)*(b + 9)*(3*b + 1)
Factor -3*a**3/2 - 57*a**2/2 + 1974*a.
-3*a*(a - 28)*(a + 47)/2
Determine r, given that -2*r**4/5 - 28*r**3/5 - 136*r**2/5 - 52*r - 30 = 0.
-5, -3, -1
Factor 3*s**3 + 138*s**2 + 1635*s + 1500.
3*(s + 1)*(s + 20)*(s + 25)
Let v**5 - 10*v**4 - 32*v**3 + 384*v**2 = 0. What is v?
-6, 0, 8
Factor -5*s**5 + 5*s**4.
-5*s**4*(s - 1)
Factor 3*z**2/7 - 29*z + 394/7.
(z - 2)*(3*z - 197)/7
Let -3*f**3/2 - 153*f**2/2 - 297*f/2 - 147/2 = 0. What is f?
-49, -1
Factor -l**3/3 - 104*l**2/3 - 199*l - 294.
-(l + 3)**2*(l + 98)/3
Determine f, given that f**5/3 + 4*f**4/3 + f**3 = 0.
-3, -1, 0
Factor -4*i**4 + 1248*i**3 - 3716*i**2 + 2472*i.
-4*i*(i - 309)*(i - 2)*(i - 1)
Factor 2*l**4 + 228*l**3 + 6266*l**2 - 13224*l + 6728.
2*(l - 1)**2*(l + 58)**2
Suppose 4*i**2/9 + 250*i/9 - 128/3 = 0. What is i?
-64, 3/2
Factor o**2 - 678*o - 679.
(o - 679)*(o + 1)
Suppose 4*t**5 + 51*t**4 + 95*t**3 - 415*t**2 + 321*t - 56 = 0. Calculate t.
-8, -7, 1/4, 1
Find o such that -21*o**4 - 15*o**3 + 48*o**2 - 12*o = 0.
-2, 0, 2/7, 1
Factor -5*m**5/2 + 25*m**4 - 90*m**3 + 135*m**2 - 135*m/2.
-5*m*(m - 3)**3*(m - 1