1210, 2/3, 1
Factor -2*b**3/11 + 42*b**2/11 + 4*b.
-2*b*(b - 22)*(b + 1)/11
Factor -2*g**4/13 - 68*g**3/13 + 216*g**2/13 - 220*g/13 + 74/13.
-2*(g - 1)**3*(g + 37)/13
Factor 4*r**5/7 + 72*r**4/7 + 68*r**3/7.
4*r**3*(r + 1)*(r + 17)/7
Factor 5*i**3 - 585*i**2 + 1710*i.
5*i*(i - 114)*(i - 3)
Factor 5*n**4 - 300*n**3 + 765*n**2 + 5130*n.
5*n*(n - 57)*(n - 6)*(n + 3)
Determine f so that -f**4 + 36*f**3 + 155*f**2 + 198*f + 80 = 0.
-2, -1, 40
Solve 2*z**4 - 1198*z**3/15 - 16604*z**2/15 - 16648*z/15 - 272 = 0.
-10, -2/3, -2/5, 51
Factor 3*n**3 + 18*n**2 + 9*n - 30.
3*(n - 1)*(n + 2)*(n + 5)
Factor 5*s**5/3 + 5*s**4 - 15*s**3 - 45*s**2.
5*s**2*(s - 3)*(s + 3)**2/3
Let -10*s**3 + 10956*s**2 + 4384*s = 0. Calculate s.
-2/5, 0, 1096
Factor -39*p**3 - 267*p**2/7 + 6*p/7.
-3*p*(p + 1)*(91*p - 2)/7
What is y in 15*y**5/2 - 21*y**4/2 - 33*y**3/2 + 21*y**2/2 + 9*y = 0?
-1, -3/5, 0, 1, 2
Determine z, given that z**3/9 - 17*z**2/9 - 80*z/9 - 28/3 = 0.
-2, 21
Factor -4*d**2 + 128*d - 124.
-4*(d - 31)*(d - 1)
Solve -2*n**4/11 - 12*n**3/11 - 10*n**2/11 = 0 for n.
-5, -1, 0
Factor -4*g**3 + 5636*g**2 + 4*g - 5636.
-4*(g - 1409)*(g - 1)*(g + 1)
Solve f**2/4 + f + 1 = 0.
-2
Determine k, given that 624*k**5 + 640*k**4 - 452*k**3 - 324*k**2 + 148*k + 4 = 0.
-1, -1/39, 1/2
Factor 2*h**3 + 8700*h**2 + 12615000*h + 6097250000.
2*(h + 1450)**3
Factor -o**4/2 - 15*o**3/2 - 61*o**2/2 - 21*o/2 + 49.
-(o - 1)*(o + 2)*(o + 7)**2/2
Factor d**4 - 7*d**2 + 6*d.
d*(d - 2)*(d - 1)*(d + 3)
Solve -5*m**2 + 2400*m + 2405 = 0 for m.
-1, 481
Factor -3*g**3/8 - 15*g**2/4 - 21*g/8 + 27/4.
-3*(g - 1)*(g + 2)*(g + 9)/8
Factor -w**4/6 + 7*w**3/3 - 49*w**2/6.
-w**2*(w - 7)**2/6
Factor -i**3/6 - 821*i**2/6 - 273*i.
-i*(i + 2)*(i + 819)/6
Factor -4*k**3 + 752*k**2 - 34580*k - 72200.
-4*(k - 95)**2*(k + 2)
Solve z**2/4 + 161*z/2 - 162 = 0 for z.
-324, 2
Let -3*q**2 + 12*q + 36 = 0. Calculate q.
-2, 6
Find r such that -12*r**4/7 - 255*r**3/7 - 213*r**2 - 1545*r/7 - 297/7 = 0.
-11, -9, -1, -1/4
Factor -z**4/3 + 77*z**3/3 - 151*z**2/3 + 25*z.
-z*(z - 75)*(z - 1)**2/3
Factor 2*l**2/5 - 3584*l/5.
2*l*(l - 1792)/5
Solve -s**2 - 8*s + 20 = 0 for s.
-10, 2
Solve -25*q**5 + 27*q**4 + 123*q**3 + 65*q**2 - 6*q = 0.
-1, 0, 2/25, 3
Factor -t**3/3 + 538*t**2 - 289444*t + 155720872/3.
-(t - 538)**3/3
Find y such that -2*y**4/7 - 16*y**3 - 1676*y**2/7 - 432*y - 1458/7 = 0.
-27, -1
Factor 2*l**3/11 + 46*l**2/11 + 124*l/11 + 80/11.
2*(l + 1)*(l + 2)*(l + 20)/11
Find k such that 10*k**5/3 - 394*k**4/9 - 878*k**3/9 + 514*k**2/9 + 848*k/9 - 40/3 = 0.
-2, -1, 2/15, 1, 15
Solve -h**5/3 + 5*h**4/3 + 2*h**3 - 32*h**2/3 - 32*h/3 = 0 for h.
-2, -1, 0, 4
Determine h, given that h**5/4 - 229*h**4/2 + 52441*h**3/4 = 0.
0, 229
Determine s so that 3*s**2/4 - 39*s/4 - 21/2 = 0.
-1, 14
Solve w**4/10 - 57*w**3/10 + 1209*w**2/10 - 11323*w/10 + 19773/5 = 0.
13, 18
Let c**2/6 + 19*c/6 + 14 = 0. Calculate c.
-12, -7
Suppose -44*o**4/3 - 1216*o**3/3 - 3092*o**2 - 11336*o/3 + 5408/3 = 0. What is o?
-13, -2, 4/11
Factor 4*k**2 - 11688*k + 11684.
4*(k - 2921)*(k - 1)
Let -5*l**3/2 - 125*l**2/2 - 420*l - 360 = 0. What is l?
-12, -1
Factor -2*i**4 + 128*i**3 - 1908*i**2 - 4752*i + 6534.
-2*(i - 33)**2*(i - 1)*(i + 3)
Find w such that -4*w**5/5 + 24*w**4/5 + 4*w**3 - 72*w**2 + 704*w/5 - 384/5 = 0.
-4, 1, 2, 3, 4
Factor -9*x**3/4 + 25*x**2/4 - 3*x - 1.
-(x - 2)*(x - 1)*(9*x + 2)/4
Find x, given that 5*x**3 - 1910*x**2 - 7700*x - 7720 = 0.
-2, 386
Factor -l**2/4 + 5*l/2.
-l*(l - 10)/4
Suppose -g**3/2 - 18*g**2 - 357*g/2 - 289 = 0. What is g?
-17, -2
Suppose 2*n**2/3 - 2668*n/3 + 889778/3 = 0. Calculate n.
667
Factor 3*w**4 - 6*w**3 - 9*w**2 + 24*w - 12.
3*(w - 2)*(w - 1)**2*(w + 2)
Solve -n**2/3 + 119*n/3 - 1078 = 0.
42, 77
Factor 13*b**2/6 + 17*b/6 + 2/3.
(b + 1)*(13*b + 4)/6
What is q in -34*q**2 + 32*q + 2 = 0?
-1/17, 1
Determine f so that 10*f**2/19 + 254*f/19 - 264/19 = 0.
-132/5, 1
What is s in 2*s**4/7 + 1308*s**3/7 + 219026*s**2/7 + 1689936*s/7 + 3338528/7 = 0?
-323, -4
Factor -p**2 + 1423*p.
-p*(p - 1423)
Factor i**5/3 - 1030*i**4/3 + 117647*i**3 - 39994472*i**2/3 - 82480192*i/3 + 40707584.
(i - 344)**3*(i - 1)*(i + 3)/3
Factor -5*h**5 - 165*h**4 - 315*h**3 - 155*h**2.
-5*h**2*(h + 1)**2*(h + 31)
Factor -d**2 + 6532*d - 10666756.
-(d - 3266)**2
Factor -3*m**4 + 12*m**3 - 15*m**2 + 6*m.
-3*m*(m - 2)*(m - 1)**2
Factor q**3/5 - 6*q**2/5 - q/5 + 6/5.
(q - 6)*(q - 1)*(q + 1)/5
Find q, given that 2*q**3 - 8*q**2 - 58*q - 48 = 0.
-3, -1, 8
Factor 98*n**4/3 - 2072*n**3/3 + 4024*n**2 - 11840*n/3 + 3200/3.
2*(n - 10)**2*(7*n - 4)**2/3
Factor 3*u**5/5 - 3*u**4 + 24*u**3/5 - 12*u**2/5.
3*u**2*(u - 2)**2*(u - 1)/5
Factor 27*j**2 + 615*j - 138.
3*(j + 23)*(9*j - 2)
Let i**5 - 38*i**4 + 200*i**3 - 250*i**2 - 201*i + 288 = 0. Calculate i.
-1, 1, 3, 32
Factor i**2 - 278*i - 560.
(i - 280)*(i + 2)
Find m, given that 2*m**2/17 - 2*m/17 - 40/17 = 0.
-4, 5
Factor h**2/5 - 2*h + 9/5.
(h - 9)*(h - 1)/5
Find m, given that -2*m**5/5 - 14*m**4/5 + 44*m**3/5 + 68*m**2/5 - 42*m/5 - 54/5 = 0.
-9, -1, 1, 3
Let 2*q**5/19 - 14*q**4/19 - 18*q**3/19 + 14*q**2/19 + 16*q/19 = 0. What is q?
-1, 0, 1, 8
Let 6*y**4 + 20*y**3/3 + 2*y**2/3 = 0. What is y?
-1, -1/9, 0
Factor -3*d**3 + 24*d**2 - 39*d + 18.
-3*(d - 6)*(d - 1)**2
Find d, given that 4*d**2 + 16*d - 20 = 0.
-5, 1
Factor -410*x**2 + 408*x + 2.
-2*(x - 1)*(205*x + 1)
Factor -g**2 - 124*g + 252.
-(g - 2)*(g + 126)
Suppose 3*c**3 + 57*c**2/2 - 15*c = 0. Calculate c.
-10, 0, 1/2
Suppose -3*d**5 + 33*d**4 - 138*d**3 + 270*d**2 - 243*d + 81 = 0. What is d?
1, 3
Find h such that 2*h**5 - 22*h**4 + 68*h**3 - 28*h**2 - 70*h + 50 = 0.
-1, 1, 5
Solve -3*k**4 - 30*k**3 + 9*k**2 + 96*k + 60 = 0 for k.
-10, -1, 2
Solve -2*u**4/5 + 18*u**3/5 + 4*u**2 = 0.
-1, 0, 10
Find u such that -68*u**4 - 348*u**3 - 244*u**2 + 588*u + 72 = 0.
-3, -2/17, 1
Determine m, given that 2*m**4/7 - 20*m**3/7 - 248*m**2/7 - 688*m/7 - 576/7 = 0.
-4, -2, 18
Factor -w**2/3 - 185*w/3 - 184/3.
-(w + 1)*(w + 184)/3
Determine q, given that 2*q**5/15 + 64*q**4/15 - 94*q**3/5 + 224*q**2/15 + 56*q/3 - 96/5 = 0.
-36, -1, 1, 2
Factor -2*u**3/11 + 200*u/11.
-2*u*(u - 10)*(u + 10)/11
Factor -2*m**4 + 26*m**3 - 66*m**2 - 154*m + 196.
-2*(m - 7)**2*(m - 1)*(m + 2)
Solve o**3 - 13*o - 12 = 0.
-3, -1, 4
Suppose 2*a**3/3 + 50*a**2/3 + 286*a/3 - 338/3 = 0. Calculate a.
-13, 1
Factor 5*p**2 + 115*p + 110.
5*(p + 1)*(p + 22)
Let -128*o**5/21 - 28832*o**4/7 - 4867174*o**3/7 + 3708554*o**2/21 + 2974400*o/7 + 685464/7 = 0. What is o?
-338, -3/8, 1
Solve 4*k**3 - 416*k**2 + 3072*k = 0 for k.
0, 8, 96
Factor -s**4/2 + 3*s**3/2 + 3*s**2/2 - 11*s/2 + 3.
-(s - 3)*(s - 1)**2*(s + 2)/2
Suppose -5*n**2/3 + 484*n - 580/3 = 0. Calculate n.
2/5, 290
Factor -6*r**2/5 - 256*r/5 + 86/5.
-2*(r + 43)*(3*r - 1)/5
Find v such that -5*v**4 - 30*v**3 + 640*v**2 - 2400*v + 2560 = 0.
-16, 2, 4
Suppose -n**3/6 - 151*n**2/6 - 25*n = 0. Calculate n.
-150, -1, 0
Determine q so that -2*q**2 + 208*q - 1536 = 0.
8, 96
Let -13122*n**5/7 + 2544210*n**4/7 - 26516160*n**3 + 866975760*n**2 - 10977387680*n + 10136566496 = 0. What is n?
1, 434/9
Suppose 4*u**3 - 1408*u**2 + 8340*u - 12456 = 0. What is u?
3, 346
Let -2*d**4 + 796*d**3 + 2*d**2 - 796*d = 0. What is d?
-1, 0, 1, 398
Factor 3*r**4 + 102*r**3 - 684*r**2 + 1416*r - 960.
3*(r - 2)**3*(r + 40)
Factor s**4/2 + 3*s**3 + 5*s**2/2.
s**2*(s + 1)*(s + 5)/2
Solve -l**3/4 + 51*l**2/4 - 156*l - 169 = 0.
-1, 26
Find m, given that 5*m**2 - 5*m - 450 = 0.
-9, 10
Determine n, given that -n**4/9 - 26*n**3/3 - 1597*n**2/9 - 988*n/3 - 1444/9 = 0.
-38, -1
Determine j, given that 27*j**2 + 381*j + 390 = 0.
-13, -10/9
Find s such that -2*s**4 + 26*s**3 - 46*s**2 + 22*s = 0.
0, 1, 11
Suppose 3*f**5 + 30*f**4 + 66*f**3 - 96*f**2 - 285*f - 150 = 0. What is f?
-5, -1, 2
Solve 3*c**3 - 15*c**2 - 651*c + 663 = 0.
-13, 1, 17
Find a such that -a**4/6 + 2*a**3/3 + a**2/2 - 5*a/3 - 4/3 = 0.
-1, 2, 4
Factor 4*r**2 + 464*r + 13456.
4*(r + 58)**2
Factor -4*b**4 + 320*b**3 - 7008*b**2 + 24320*b - 23104.
-4*(b - 38)**2*(b - 2)**2
What is d in -98*d**5/23 - 1148*d**4/23 - 674*d**3/23 + 1128*d**2/23 + 792*d/23 = 0?
-11, -6/7, 0, 1
Determine n, given that 5*n**4 - 40*n**3 + 115*n**2 - 140*n + 60 = 0.
1, 2, 3
Factor -j**3/4 - 3*j**2 + 85*j/4.
-j*(j - 5)*(j + 17)/4
Suppose -70*a**5 - 1