3 + 506*l**2 + 956*l + 528 = 0.
-3, -2, -1, 44
What is d in -2*d**3/21 - 88*d**2/21 - 152*d/21 + 32 = 0?
-42, -4, 2
Let -4*t**2 - 176*t = 0. Calculate t.
-44, 0
Factor -h**2/6 + 12*h.
-h*(h - 72)/6
Find y such that 10*y**5/9 + 22*y**4/3 + 22*y**3/9 - 110*y**2/3 - 176*y/9 + 40/3 = 0.
-5, -3, -1, 2/5, 2
What is a in -a**2 - 404*a = 0?
-404, 0
Solve 2*t**2 + 30960*t + 119815200 = 0 for t.
-7740
Suppose -2*f**2/5 + 378*f/5 = 0. Calculate f.
0, 189
Factor v**2 + 7*v - 8.
(v - 1)*(v + 8)
Factor -5*u**2 + 95*u - 170.
-5*(u - 17)*(u - 2)
Factor -k**3/5 + 7*k**2 + 73*k/5 + 37/5.
-(k - 37)*(k + 1)**2/5
Factor -3*i**2/5 - 207*i/5.
-3*i*(i + 69)/5
Let 6*l**2 - 10278*l + 8803107/2 = 0. Calculate l.
1713/2
Factor -2*b**3 - 14*b**2 + 34*b - 18.
-2*(b - 1)**2*(b + 9)
Factor 10*l**2 + 485*l/3 - 515/3.
5*(l - 1)*(6*l + 103)/3
Let 4*p**2 + 708*p = 0. What is p?
-177, 0
Factor -34347*k**3 + 1284*k**2 - 12*k.
-3*k*(107*k - 2)**2
Suppose w**4/6 + 25*w**3/6 + 28*w**2 + 24*w = 0. What is w?
-12, -1, 0
Suppose -c**5/2 - 55*c**4/2 - 53*c**3/2 + 55*c**2/2 + 27*c = 0. Calculate c.
-54, -1, 0, 1
Factor 105*v**2 - 220*v + 100.
5*(3*v - 2)*(7*v - 10)
Suppose -i**2/6 - 1510*i - 3420150 = 0. What is i?
-4530
Find n such that 20*n**4 - 68*n**3 - 56*n**2 + 32*n = 0.
-1, 0, 2/5, 4
Factor c**2/2 - c + 1/2.
(c - 1)**2/2
Factor -v**2/2 - 19*v - 120.
-(v + 8)*(v + 30)/2
Find f, given that -4*f**3/5 - 16*f**2/5 - 12*f/5 = 0.
-3, -1, 0
Factor -4*g**2 - 272*g + 276.
-4*(g - 1)*(g + 69)
Factor 4*m**4 - 580*m**3 - 1172*m**2 - 588*m.
4*m*(m - 147)*(m + 1)**2
Find i, given that 2*i**2/13 + 24*i/13 - 90/13 = 0.
-15, 3
Determine i, given that 4*i**2 - 1812*i - 1816 = 0.
-1, 454
Solve 9*k**5/4 - 267*k**4/4 + 657*k**3/4 - 237*k**2/4 - 81*k/2 = 0.
-1/3, 0, 1, 2, 27
Let -5*x**2 + 205*x + 2250 = 0. Calculate x.
-9, 50
Solve -6*o**3 - 22*o**2 - 10*o + 6 = 0.
-3, -1, 1/3
Find y such that 2*y**4 + 26*y**3 + 96*y**2 + 136*y + 64 = 0.
-8, -2, -1
Suppose 10*s**4/9 - 32*s**3/9 - 4*s**2/9 + 32*s/9 - 2/3 = 0. Calculate s.
-1, 1/5, 1, 3
Factor 27*n**2/2 + 24*n + 10.
(3*n + 2)*(9*n + 10)/2
Let -q**4/10 + 2*q**3/5 - 3*q**2/10 = 0. What is q?
0, 1, 3
Factor p**3/11 - 20*p**2/11 + 112*p/11 - 192/11.
(p - 12)*(p - 4)**2/11
Factor -w**4 - 123*w**3 - 823*w**2 - 1281*w - 580.
-(w + 1)**2*(w + 5)*(w + 116)
Factor -l**4 + 9*l**2 + 4*l - 12.
-(l - 3)*(l - 1)*(l + 2)**2
Factor -2*f**3/23 - 238*f**2/23 + 482*f/23 - 242/23.
-2*(f - 1)**2*(f + 121)/23
Let -r**5/5 + 2*r**4/5 + 3*r**3/5 - 4*r**2/5 - 4*r/5 = 0. What is r?
-1, 0, 2
Factor l**4/7 - 221*l**3/7 + 15732*l**2/7 - 317680*l/7 - 438976.
(l - 76)**3*(l + 7)/7
Find t, given that -225*t**5/4 - 635*t**4/4 - 317*t**3/2 - 64*t**2 - 8*t = 0.
-1, -4/5, -2/9, 0
Determine l so that -2*l**5/13 - 28*l**4/13 - 64*l**3/13 + 256*l**2/13 = 0.
-8, 0, 2
Factor -3*k**2/5 - 126*k/5 + 264/5.
-3*(k - 2)*(k + 44)/5
Suppose -2*o**3 + 1722*o**2 - 494214*o + 47279806 = 0. Calculate o.
287
Factor 5*g**2 - 75*g + 250.
5*(g - 10)*(g - 5)
Determine j so that -2*j**2 + 24*j/5 - 8/5 = 0.
2/5, 2
Factor 3*p**2 - 534*p + 23763.
3*(p - 89)**2
Factor 3*g**4 + 222*g**3 + 4323*g**2 + 7992*g + 3888.
3*(g + 1)**2*(g + 36)**2
Factor -8*n**3 + 52*n**2 - 68*n - 48.
-4*(n - 4)*(n - 3)*(2*n + 1)
Factor -u**2/3 + 799*u/3 - 796.
-(u - 796)*(u - 3)/3
Let -3*y**3/7 + 66*y**2/7 - 255*y/7 = 0. Calculate y.
0, 5, 17
Factor -5*b**3 + 25*b**2 + 180*b.
-5*b*(b - 9)*(b + 4)
Factor 180*x**4 + 60*x**3 - 175*x**2 - 60*x - 5.
5*(x - 1)*(x + 1)*(6*x + 1)**2
Factor -4*b**3 + 28*b**2 - 28*b - 60.
-4*(b - 5)*(b - 3)*(b + 1)
Factor -3*c**3/2 - 408*c**2 - 27744*c.
-3*c*(c + 136)**2/2
Determine w, given that -w**2/12 + 185*w/12 + 187/6 = 0.
-2, 187
Factor 4*c**3/5 - 172*c/5 - 168/5.
4*(c - 7)*(c + 1)*(c + 6)/5
Find o, given that 4*o**4 + 32*o**3 - 44*o**2 - 72*o = 0.
-9, -1, 0, 2
Factor -4*d**2/7 + 6504*d/7.
-4*d*(d - 1626)/7
What is g in 5*g**4 - 20*g**3 - 25*g**2 = 0?
-1, 0, 5
Determine l, given that 15*l**5 + 95*l**4 + 170*l**3 + 20*l**2 - 120*l = 0.
-3, -2, 0, 2/3
Suppose 4*n**5 - 24*n**4 + 44*n**3 - 8*n**2 - 48*n + 32 = 0. Calculate n.
-1, 1, 2
Factor 2*w**3/13 + 176*w**2/13 + 4250*w/13 + 31212/13.
2*(w + 17)**2*(w + 54)/13
Find y, given that 3*y**4/7 + 54*y**3/7 + 51*y**2/7 = 0.
-17, -1, 0
Suppose -m**5 + 365*m**4 - 34208*m**3 + 164884*m**2 - 260640*m + 129600 = 0. What is m?
1, 2, 180
Factor o**5/4 + 249*o**4/2 + 46863*o**3/2 + 1997028*o**2 + 273547449*o/4 + 686659923/2.
(o + 6)*(o + 123)**4/4
Suppose 2*w**2/3 + 5164*w/3 + 3333362/3 = 0. What is w?
-1291
Factor -3*o**3 + 249*o**2 - 240*o - 492.
-3*(o - 82)*(o - 2)*(o + 1)
Factor -3*q**3/2 - 55*q**2/4 - 93*q/4 - 7/2.
-(q + 2)*(q + 7)*(6*q + 1)/4
Factor 2*f**4/5 + 66*f**3/5 + 126*f**2/5 + 62*f/5.
2*f*(f + 1)**2*(f + 31)/5
Factor 2*b**2 - 80*b.
2*b*(b - 40)
Suppose 25*o**3 - 755*o**2 - 625*o + 155 = 0. Calculate o.
-1, 1/5, 31
Solve 5*q**4 + 80*q**3 + 230*q**2 - 720*q + 405 = 0.
-9, 1
Factor t**4/2 - 1650*t**3 + 1357946*t**2 + 5451600*t + 5458208.
(t - 1652)**2*(t + 2)**2/2
What is g in -g**3/6 + 20*g**2/3 + 83*g/6 + 7 = 0?
-1, 42
Solve -5*r**5 + 65*r**4 - 235*r**3 + 115*r**2 + 240*r - 180 = 0 for r.
-1, 1, 6
Let -n**4/7 + 97*n**3/7 + 57*n**2 + 503*n/7 + 202/7 = 0. What is n?
-2, -1, 101
Factor -3*x**3 + 327*x**2 - 8745*x - 9075.
-3*(x - 55)**2*(x + 1)
What is k in -5*k**2 + 30*k - 40 = 0?
2, 4
Factor 2*a**2/7 - 5308*a/7 + 3521858/7.
2*(a - 1327)**2/7
Factor 3*k**3/4 + 303*k**2/2 - 306*k.
3*k*(k - 2)*(k + 204)/4
Determine g so that -3*g**2 - 78*g - 507 = 0.
-13
Determine q, given that 405*q**4/7 + 5706*q**3/7 + 20337*q**2/7 + 228*q - 84 = 0.
-7, -2/9, 2/15
Solve -k**4 - 773*k**3 - 147435*k**2 + 753493*k - 605284 = 0 for k.
-389, 1, 4
Suppose x**4/6 - 12*x**3 - 149*x**2/6 + 12*x + 74/3 = 0. Calculate x.
-2, -1, 1, 74
Find j such that -14*j**4/17 + 8*j**3 + 3582*j**2/17 + 4400*j/17 + 968/17 = 0.
-11, -1, -2/7, 22
Factor -4*p**4 + 640*p**3 - 38400*p**2 + 1024000*p - 10240000.
-4*(p - 40)**4
Factor g**4/2 + 5*g**3/2 - 39*g**2/2 - 9*g/2 + 81.
(g - 3)**2*(g + 2)*(g + 9)/2
Factor -5*b**3 - 13500*b**2 - 12150000*b - 3645000000.
-5*(b + 900)**3
Find l, given that l**4 - 54*l**3 - 771*l**2 + 3700*l - 3900 = 0.
-15, 2, 65
Suppose -4*j**2 - 304*j + 624 = 0. Calculate j.
-78, 2
Let -2*j**4/17 + 12*j**3/17 - 24*j**2/17 + 16*j/17 = 0. Calculate j.
0, 2
Factor 2*m**2/3 - 2*m - 8/3.
2*(m - 4)*(m + 1)/3
Determine q so that 4*q**4 + 32*q**3 + 88*q**2 + 96*q + 36 = 0.
-3, -1
Find a, given that 3*a**4/2 + 255*a**3/2 + 2772*a**2 + 2646*a = 0.
-42, -1, 0
Factor 2*u**3/3 + 4*u**2 - 158*u/3 - 56.
2*(u - 7)*(u + 1)*(u + 12)/3
What is w in -5*w**5/2 - 389*w**4 - 1223*w**3/2 + 697*w**2 + 614*w - 308 = 0?
-154, -2, -1, 2/5, 1
Find q such that -3*q**2 + 228*q + 468 = 0.
-2, 78
Determine g so that 5*g**3 - 80*g**2 + 400*g - 640 = 0.
4, 8
Factor 7*h**4/3 - 121*h**3/3 + 475*h**2/3 + 147*h - 54.
(h - 9)**2*(h + 1)*(7*h - 2)/3
Find z, given that z**5/3 - 10*z**4/3 - 4*z**3 + 10*z**2/3 + 11*z/3 = 0.
-1, 0, 1, 11
Factor -t**3/6 + 287*t**2/3 - 27835*t/2 + 54150.
-(t - 285)**2*(t - 4)/6
Determine a so that 4*a**4/15 - 38*a**3/15 + 2*a**2/5 + 36*a/5 = 0.
-3/2, 0, 2, 9
Find t, given that 5*t**3 + 170*t**2 + 445*t - 620 = 0.
-31, -4, 1
Factor -4*k**4 - 156*k**3 - 572*k**2 - 420*k.
-4*k*(k + 1)*(k + 3)*(k + 35)
Let -2*r**3/9 + 34*r**2/9 - 32*r/9 = 0. What is r?
0, 1, 16
Find t such that 4*t**3/7 - 982*t**2/7 + 60024*t/7 + 30258/7 = 0.
-1/2, 123
Let -3*u**3 - 23*u**2 + 220*u + 156 = 0. Calculate u.
-13, -2/3, 6
Let -2*g**2 + 30*g + 108 = 0. Calculate g.
-3, 18
Factor 2*j**4/5 + 198*j**3/5 - 402*j**2/5 + 202*j/5.
2*j*(j - 1)**2*(j + 101)/5
Factor -2*x**2 - 202*x - 396.
-2*(x + 2)*(x + 99)
Determine l so that 3*l**4 - 24*l**3 + 15*l**2 + 150*l = 0.
-2, 0, 5
What is t in -3*t**5/5 + 333*t**4/5 - 11661*t**3/5 + 135411*t**2/5 - 548208*t/5 + 424128/5 = 0?
1, 8, 47
Factor 2*q**2/7 - 212*q/7.
2*q*(q - 106)/7
What is g in -4*g**2 + 140*g - 136 = 0?
1, 34
Suppose 4*g**5/5 + 28*g**4/5 + 56*g**3/5 + 32*g**2/5 = 0. What is g?
-4, -2, -1, 0
Let n**2/6 + 167*n/3 + 111/2 = 0. What is n?
-333, -1
Factor g**5/2 - 9*g**4/2 + 14*g**3 - 18*g**2 + 8*g.
g*(g - 4)*(g - 2)**2*(g - 1)/2
Find j, given that 3*j**5/8 + 21*j**4/8 + 6*j**3 + 9*j**2/2 = 0.
-3, -2, 0
Let 5*s**5 + 10*s**4 - 10*s**3 - 20*s**2 + 5*s + 10 = 0. Calculate s.
-2, -1, 1
Fac