*z**2/13 + 4873442*z/13.
2*z*(z - 1561)**2/13
Factor 6*t**2/5 + 36*t - 186/5.
6*(t - 1)*(t + 31)/5
Factor -2*o**2/3 + 1580*o/3 + 1056.
-2*(o - 792)*(o + 2)/3
Solve -20*q**3 + 68*q**2 + 288*q + 144 = 0 for q.
-2, -3/5, 6
Factor -j**4/3 - 10*j**3/3 - 8*j**2/3 + 10*j/3 + 3.
-(j - 1)*(j + 1)**2*(j + 9)/3
Solve 5*a**5/3 - 55*a**4/3 + 190*a**3/3 - 170*a**2/3 - 65*a + 75 = 0.
-1, 1, 3, 5
Suppose f**4 - 400*f**3 + 39598*f**2 + 80400*f + 40401 = 0. What is f?
-1, 201
Determine d, given that 2*d**3/7 + 16*d**2/7 - 66*d/7 = 0.
-11, 0, 3
What is k in -k**3 + 17*k**2 - 16*k = 0?
0, 1, 16
Find f such that -3*f**4 + 24*f**3 + 81*f**2 - 222*f + 120 = 0.
-4, 1, 10
Factor -w**2/7 + 555*w/7.
-w*(w - 555)/7
Find l, given that -2*l**2/3 + 64*l + 392/3 = 0.
-2, 98
Factor d**2/2 + 5*d/2 + 3.
(d + 2)*(d + 3)/2
Suppose 2*u**2 - 50*u + 272 = 0. Calculate u.
8, 17
Suppose -2*n**5 - 110*n**4 + 234*n**3 + 334*n**2 - 464*n - 456 = 0. What is n?
-57, -1, 2
Solve -5*a**5 - 10*a**4 + 20*a**3 + 10*a**2 - 15*a = 0 for a.
-3, -1, 0, 1
Determine n so that -n**4/6 - 83*n**3/6 - 529*n**2/2 + 5891*n/6 + 3698/3 = 0.
-43, -1, 4
Determine n so that -n**4/7 - 4*n**3/7 + 5*n**2/7 = 0.
-5, 0, 1
Factor -c**4 - 150*c**3 - 5625*c**2.
-c**2*(c + 75)**2
Let -5*j**5 + 10*j**4 + 105*j**3 - 190*j**2 - 400*j + 480 = 0. Calculate j.
-4, -2, 1, 3, 4
Find t, given that 5*t**3 - 60*t**2 + 175*t - 120 = 0.
1, 3, 8
Factor 2*p**2/3 - 20*p + 322/3.
2*(p - 23)*(p - 7)/3
Factor -j**3 - 11*j**2 + 24*j + 144.
-(j - 4)*(j + 3)*(j + 12)
Determine y, given that 18*y**3/19 - 116*y**2/19 + 160*y/19 = 0.
0, 2, 40/9
What is j in -3*j**5 + 93*j**4 - 339*j**3 + 411*j**2 - 162*j = 0?
0, 1, 2, 27
Factor -5*i**2 - 355*i - 350.
-5*(i + 1)*(i + 70)
Factor 2*g**4/13 + 372*g**3/13 + 370*g**2/13.
2*g**2*(g + 1)*(g + 185)/13
Factor 5*m**2 + 75*m + 70.
5*(m + 1)*(m + 14)
Factor -5*g**3 + 85*g**2 + 445*g - 525.
-5*(g - 21)*(g - 1)*(g + 5)
Factor -3*z**4 + 15*z**3 + 6*z**2 - 72*z.
-3*z*(z - 4)*(z - 3)*(z + 2)
Solve -99*s**3/2 - 84*s**2 - 39*s/2 + 15 = 0.
-1, 10/33
Factor 5*b**3 + 135*b**2 - 440*b + 300.
5*(b - 2)*(b - 1)*(b + 30)
Suppose -45*i**5 + 690*i**4 - 3065*i**3 + 3220*i**2 - 980*i = 0. What is i?
0, 2/3, 7
Determine o, given that 3*o**4 + 1260*o**3 + 132300*o**2 = 0.
-210, 0
Factor 4*c**3 - 68*c**2 + 264*c.
4*c*(c - 11)*(c - 6)
Factor -s**2 + 10*s + 11.
-(s - 11)*(s + 1)
Suppose -4*a**2 - 7*a = 0. Calculate a.
-7/4, 0
Suppose -4*l**2 - 120*l + 256 = 0. What is l?
-32, 2
Solve 5*r**4 + 150*r**3 + 385*r**2 - 540*r = 0 for r.
-27, -4, 0, 1
Let 3*n**3 + 51*n**2 - 240*n + 252 = 0. What is n?
-21, 2
Factor -3*r**2/7 + 3084*r/7 - 792588/7.
-3*(r - 514)**2/7
What is l in 9*l**3/4 + 597*l**2/4 + 783*l/4 + 195/4 = 0?
-65, -1, -1/3
Let -2*f**5/13 - 56*f**4/13 + 58*f**3/13 = 0. Calculate f.
-29, 0, 1
Factor -2*r**2/5 - 1244*r/5 - 193442/5.
-2*(r + 311)**2/5
What is l in -l**4/2 + 37*l**3/2 - 479*l**2/2 + 2483*l/2 - 2028 = 0?
3, 8, 13
Determine s so that -5*s**3 + 177*s**2 - 1540*s + 588 = 0.
2/5, 14, 21
Solve 2*g**4/5 + 566*g**3/3 + 1882*g**2/15 - 314*g/5 = 0 for g.
-471, -1, 0, 1/3
Find k, given that -4*k**3 - 124*k**2 + 696*k - 864 = 0.
-36, 2, 3
Factor -3*h**2 - 510*h - 21675.
-3*(h + 85)**2
Factor -l**3/6 + 2727*l**2/2 - 7436529*l/2 + 6759804861/2.
-(l - 2727)**3/6
Let -98*z**5/15 + 2506*z**4/15 + 7632*z**3/5 + 38056*z**2/15 - 27584*z/15 + 1408/5 = 0. What is z?
-4, 2/7, 33
Factor 3*b**4 + 180*b**3 - 372*b**2.
3*b**2*(b - 2)*(b + 62)
Find j, given that 3*j**3 - 2*j**2 - 8*j = 0.
-4/3, 0, 2
Factor -5*r**5 + 220*r**4 - 200*r**3 - 670*r**2 + 1085*r - 430.
-5*(r - 43)*(r - 1)**3*(r + 2)
Factor 4*n**4 + 112*n**3 + 308*n**2 + 200*n.
4*n*(n + 1)*(n + 2)*(n + 25)
Determine x so that 4*x**4 - 36*x**3 - 144*x**2 = 0.
-3, 0, 12
Find b such that 5*b**2 + 195*b + 370 = 0.
-37, -2
Find g, given that -2*g**4/5 - 4*g**3/5 + 4*g/5 + 2/5 = 0.
-1, 1
Factor 35*z**5 - 45*z**4 + 10*z**3.
5*z**3*(z - 1)*(7*z - 2)
Solve 3*x**5/8 - 7*x**4/8 - 7*x**3/2 + 4*x**2 = 0 for x.
-8/3, 0, 1, 4
Factor 5*m**2/6 + 89*m/3 - 12.
(m + 36)*(5*m - 2)/6
Let -2*c**2 + 2*c + 760 = 0. Calculate c.
-19, 20
Find p, given that -12*p**5/7 + 87*p**4/7 + 33*p**3 - 387*p**2/7 + 81*p/7 = 0.
-3, 0, 1/4, 1, 9
Factor -2028*u**3 + 6092*u**2 - 4080*u + 16.
-4*(u - 2)*(u - 1)*(507*u - 2)
Find l such that -3*l**2 - 38*l/3 - 8/3 = 0.
-4, -2/9
Determine o, given that 4*o**4 - 28*o**3 + 68*o**2 - 68*o + 24 = 0.
1, 2, 3
Determine h, given that 4*h**4 - 16*h**3 - 44*h**2 - 24*h = 0.
-1, 0, 6
Factor -2*i**3 - 66*i**2 - 576*i - 512.
-2*(i + 1)*(i + 16)**2
Factor -3*m**3 + 54*m**2 - 51*m.
-3*m*(m - 17)*(m - 1)
Factor -x**4/2 + x**3/2 + 6*x**2 + 2*x - 8.
-(x - 4)*(x - 1)*(x + 2)**2/2
Determine l, given that l**4/2 + 4*l**3 + 13*l**2/2 + 3*l = 0.
-6, -1, 0
Solve l**4 + 11*l**3/4 - 27*l**2/4 - 13*l/2 + 2 = 0.
-4, -1, 1/4, 2
Factor 5*p**3/6 - 335*p**2/6 + 655*p/6 - 325/6.
5*(p - 65)*(p - 1)**2/6
Factor 2*u**3/5 - 2*u**2/5 - 2*u/5 + 2/5.
2*(u - 1)**2*(u + 1)/5
Determine s, given that -42*s**5 - 26*s**4 + 66*s**3 + 34*s**2 - 24*s - 8 = 0.
-1, -2/7, 2/3, 1
Factor 4*t**4/5 + 16*t**3/5 + 4*t**2 + 8*t/5.
4*t*(t + 1)**2*(t + 2)/5
Let -y**2/4 + 14*y = 0. What is y?
0, 56
Determine c so that 21*c**4 - 363*c**3 - 10314*c**2 + 13728*c - 3072 = 0.
-16, 2/7, 1, 32
Let l**2 + 9*l + 20 = 0. What is l?
-5, -4
Determine a so that 273*a**2/4 + 164*a + 15 = 0.
-30/13, -2/21
Find d such that -3*d**5 - 27*d**4 - 21*d**3 + 27*d**2 + 24*d = 0.
-8, -1, 0, 1
Determine i so that 2*i**5/3 - 10*i**4 - 48*i**3 - 152*i**2/3 = 0.
-2, 0, 19
Let 4*u**2 - 196*u = 0. Calculate u.
0, 49
Determine u, given that u**5/9 - 2*u**4/9 - 8*u**3/9 + 16*u**2/9 + 16*u/9 - 32/9 = 0.
-2, 2
Determine b so that -49*b**4/5 + 336*b**3/5 - 652*b**2/5 + 384*b/5 - 64/5 = 0.
2/7, 4/7, 2, 4
Determine g so that 15*g**4/4 + 69*g**3/4 - 225*g**2 + 417*g - 132 = 0.
-11, 2/5, 2, 4
Solve 2*p**2 + 158*p/3 - 36 = 0 for p.
-27, 2/3
Factor -5*c**3 + 315*c**2 - 6615*c + 46305.
-5*(c - 21)**3
Let a**3/8 - 789*a**2/8 + 155235*a/8 + 156025/8 = 0. What is a?
-1, 395
Let 2*o**2/11 - 3692*o/11 - 3694/11 = 0. What is o?
-1, 1847
Factor 5*u**2 + 130*u - 960.
5*(u - 6)*(u + 32)
Suppose -2*j**2/7 + 212*j - 39326 = 0. What is j?
371
Factor -2*d**2/15 + 122*d/5 - 364/15.
-2*(d - 182)*(d - 1)/15
Determine i so that i**2/4 + 233*i/2 + 465/4 = 0.
-465, -1
Factor m**2/4 + 1147*m/2.
m*(m + 2294)/4
Find d such that 5*d**5 - 195*d**4 + 1675*d**3 - 3905*d**2 + 3540*d - 1120 = 0.
1, 8, 28
Solve -14*d**3/3 + 244*d**2 - 1166*d + 940/3 = 0 for d.
2/7, 5, 47
Suppose 4*t**4/3 + 28*t**3/3 - 24*t**2 = 0. What is t?
-9, 0, 2
Determine u, given that -25*u**2 - 170*u - 289 = 0.
-17/5
Suppose 2*z**3/13 - 38*z/13 - 60/13 = 0. Calculate z.
-3, -2, 5
What is n in 23*n**4 + 48*n**3 - 88*n**2 - 192*n - 16 = 0?
-2, -2/23, 2
Find u such that -5*u**3 - 2220*u**2 - 257145*u - 2354450 = 0.
-217, -10
Solve -98*k**5 - 1218*k**4 - 4894*k**3 - 5542*k**2 + 4992*k + 6760 = 0 for k.
-5, -26/7, -1, 1
Factor 3*n**2 + 1251*n + 1248.
3*(n + 1)*(n + 416)
Factor -2*p**4/13 + 1042*p**3/13 - 181650*p**2/13 + 10714582*p/13 - 20710868/13.
-2*(p - 173)**3*(p - 2)/13
Suppose -18*n**4/11 - 816*n**3/11 - 9776*n**2/11 - 1088*n - 352 = 0. Calculate n.
-22, -2/3
Factor 501*h**2/4 + 378*h + 27/4.
3*(h + 3)*(167*h + 3)/4
Factor g**5 + 52*g**4 + 323*g**3 + 344*g**2 - 720*g.
g*(g - 1)*(g + 4)**2*(g + 45)
Factor -2*y**2/3 - 4*y.
-2*y*(y + 6)/3
Suppose -2*b**2/5 - 2048*b/5 - 524288/5 = 0. Calculate b.
-512
Find o such that 5*o**2 - 1110*o - 4520 = 0.
-4, 226
Factor 5*i**3 - 5*i**2 - 50*i - 40.
5*(i - 4)*(i + 1)*(i + 2)
What is j in j**2/3 + 16*j + 215/3 = 0?
-43, -5
What is r in 50*r**4/9 - 40*r**3/9 - 64*r**2/3 + 160*r/9 - 32/9 = 0?
-2, 2/5, 2
Factor -j**3 + 45*j**2 - 38*j - 264.
-(j - 44)*(j - 3)*(j + 2)
What is l in -2*l**2/7 - 554*l/7 + 1116/7 = 0?
-279, 2
Factor -5*x**3 - 125*x**2 - 1040*x - 2880.
-5*(x + 8)**2*(x + 9)
What is a in 2*a**4/9 - 2*a**3/3 + 2*a**2/9 + 2*a/3 - 4/9 = 0?
-1, 1, 2
Factor -2*y**3/5 - 58*y**2/5 + 122*y/5 - 62/5.
-2*(y - 1)**2*(y + 31)/5
Factor 3*m**4/2 + 45*m**3/2 - 111*m**2/2 - 153*m/2.
3*m*(m - 3)*(m + 1)*(m + 17)/2
What is i in -i**2/3 - 9*i + 336 = 0?
-48, 21
What is t in t**4/3 - 44*t**3/3 + 125*t**2/3 - 82*t/3 = 0?
0, 1, 2, 41
Factor -2*n**2 + 526*n.
-2*n*(n - 263)
Determine h, given that -2*h**2/3 +