
Factor x**2/6 - 4555*x/3 + 20748025/6.
(x - 4555)**2/6
Factor -j**3/5 + 81*j**2/5 + 169*j/5 - 249/5.
-(j - 83)*(j - 1)*(j + 3)/5
Factor -3*g**5/7 + 123*g**4/7 - 2010*g**3/7 + 16362*g**2/7 - 9477*g + 15309.
-3*(g - 9)**3*(g - 7)**2/7
Find k such that -21*k**3/5 + 628*k**2/5 - 549*k/5 - 58/5 = 0.
-2/21, 1, 29
Factor -3*l**3 + 3*l**2 + 12*l - 12.
-3*(l - 2)*(l - 1)*(l + 2)
Solve 2*o**3/5 - 36*o**2/5 + 66*o/5 - 32/5 = 0 for o.
1, 16
Factor -s**4/2 - 5*s**3 - 21*s**2/2 + 2*s + 14.
-(s - 1)*(s + 2)**2*(s + 7)/2
What is c in 10*c**5 - 45*c**4 + 10*c**3 + 45*c**2 - 20*c = 0?
-1, 0, 1/2, 1, 4
Solve o**3/4 + 1005*o**2/2 - 2011*o/4 = 0.
-2011, 0, 1
Let 3*y**2/2 + 141*y/2 = 0. What is y?
-47, 0
Factor 2*x**3/9 + 26*x**2/9 + 8*x/3.
2*x*(x + 1)*(x + 12)/9
Solve -l**3/7 + 18*l**2/7 + 4*l/7 - 72/7 = 0.
-2, 2, 18
Factor -3*l**2/2 + 299*l/6 - 11.
-(l - 33)*(9*l - 2)/6
Let -15*q**5 - 140*q**4 - 240*q**3 + 70*q**2 + 255*q + 70 = 0. Calculate q.
-7, -2, -1, -1/3, 1
Factor -2*d**4/7 + 16*d**3/7 - 26*d**2/7 + 12*d/7.
-2*d*(d - 6)*(d - 1)**2/7
Determine x, given that 2*x**5/3 - 8*x**3/3 - 4*x**2/3 + 2*x + 4/3 = 0.
-1, 1, 2
Let -60*t**4 + 188*t**3 - 20*t**2 - 12*t = 0. What is t?
-1/5, 0, 1/3, 3
Suppose -t**4/2 - 9*t**3/2 + 23*t**2/2 + 9*t/2 - 11 = 0. What is t?
-11, -1, 1, 2
Factor 3*i**2/4 - 765*i/2 + 1527/4.
3*(i - 509)*(i - 1)/4
Factor 4*x**2 + 356*x.
4*x*(x + 89)
Let 9*z**5/4 + 6*z**4 - 45*z**3/2 + 18*z**2 - 15*z/4 = 0. What is z?
-5, 0, 1/3, 1
Find l, given that 3*l**3/5 + 243*l**2/5 = 0.
-81, 0
Suppose -3*a**3/8 - 1473*a**2/8 - 2937*a/8 - 1467/8 = 0. What is a?
-489, -1
Determine s, given that -5*s**3/2 + 10*s**2 + 195*s/2 + 135 = 0.
-3, -2, 9
Factor -2*b**3/5 - 494*b**2/5 - 30256*b/5 + 30752/5.
-2*(b - 1)*(b + 124)**2/5
Factor -2*d**2 - 58*d + 60.
-2*(d - 1)*(d + 30)
Find l such that -2*l**4 + 6*l**3 - 2*l**2 - 6*l + 4 = 0.
-1, 1, 2
Solve 135*u**2 + 145*u + 10 = 0 for u.
-1, -2/27
Let -n**4/4 - 3*n**3/2 - n**2 + 6*n + 8 = 0. Calculate n.
-4, -2, 2
Factor -2*j**2/3 - 8*j + 30.
-2*(j - 3)*(j + 15)/3
Factor -3*o**2/5 + 3*o/5 + 168/5.
-3*(o - 8)*(o + 7)/5
Factor -2*g**3/7 - 18*g**2/7 - 4*g + 48/7.
-2*(g - 1)*(g + 4)*(g + 6)/7
Suppose -204*q**4 - 2132*q**3 - 4464*q**2 + 6032*q + 768 = 0. What is q?
-6, -16/3, -2/17, 1
Find q, given that 2*q**2 - 18*q + 36 = 0.
3, 6
Factor -z**3/11 - z**2/11.
-z**2*(z + 1)/11
What is s in 2*s**3 - 944*s**2 + 110442*s + 224676 = 0?
-2, 237
Factor i**2/5 + 81*i/5 + 16.
(i + 1)*(i + 80)/5
Factor 12*j**4 + 100*j**3 + 97*j**2/3 + 8*j/3.
j*(j + 8)*(6*j + 1)**2/3
Find s such that 3*s**2/4 + 147*s/4 - 3555/2 = 0.
-79, 30
Factor -2*v**3/11 + 86*v/11 + 84/11.
-2*(v - 7)*(v + 1)*(v + 6)/11
Factor s**5/5 + 14*s**4/5 + 49*s**3/5.
s**3*(s + 7)**2/5
Factor -3*i**2/4 - 519*i/2 - 89787/4.
-3*(i + 173)**2/4
Determine b so that -5*b**4/2 - 11*b**3 - 14*b**2 - 4*b = 0.
-2, -2/5, 0
Suppose -15*o**4 - 295*o**3/2 + 370*o**2 - 475*o/2 + 30 = 0. What is o?
-12, 1/6, 1
Factor 2*r**2 - 34*r + 84.
2*(r - 14)*(r - 3)
Factor -3*b**3 + 273*b**2.
-3*b**2*(b - 91)
Let -x**2/2 - 2*x + 96 = 0. What is x?
-16, 12
Determine p, given that -p**4/3 - 6*p**3 - 77*p**2/3 + 24*p + 108 = 0.
-9, -2, 2
Factor -3*k**4/5 - 594*k**3/5.
-3*k**3*(k + 198)/5
Factor -9*s**4 - 12*s**3 + 15*s**2 + 6*s.
-3*s*(s - 1)*(s + 2)*(3*s + 1)
Determine c so that -2*c**2/7 - 174*c/7 + 176/7 = 0.
-88, 1
Let -20*a**3 + 122*a**2 - 148*a + 46 = 0. Calculate a.
1/2, 1, 23/5
Solve 2*n**3 + 2302*n**2/3 + 4598*n/9 + 766/9 = 0.
-383, -1/3
Find q such that -q**2/2 + 69*q/2 - 67 = 0.
2, 67
Suppose -14*t**3/5 + 24*t**2 - 58*t/5 - 48/5 = 0. Calculate t.
-3/7, 1, 8
Factor 3*j**2 + 480*j + 477.
3*(j + 1)*(j + 159)
Factor -3*i**3/7 + 6*i**2/7 + 3*i/7 - 6/7.
-3*(i - 2)*(i - 1)*(i + 1)/7
Suppose -a**2 - 14506*a - 52606009 = 0. What is a?
-7253
Factor -2*o**2/7 + 60*o/7 - 16.
-2*(o - 28)*(o - 2)/7
Determine o so that -o**2 - 11*o = 0.
-11, 0
Find o, given that 27*o**3 + 2034*o**2 - 1365*o + 228 = 0.
-76, 1/3
Solve 6*n**2/7 + 732*n/7 + 726/7 = 0 for n.
-121, -1
Solve g**3/2 - 423*g**2/2 + 1048*g - 1254 = 0 for g.
2, 3, 418
Factor -4*a**2/7 - 3424*a/7 - 732736/7.
-4*(a + 428)**2/7
Let 4*j**3 + 28*j**2 + 40*j = 0. Calculate j.
-5, -2, 0
Factor 12*f**2 - 980*f + 648.
4*(f - 81)*(3*f - 2)
Factor 2*h**3/15 + 26*h**2/15 + 88*h/15 + 64/15.
2*(h + 1)*(h + 4)*(h + 8)/15
Factor 28*p**3/5 + 624*p**2/5 + 176*p/5.
4*p*(p + 22)*(7*p + 2)/5
Factor -4*u**2 + 80*u + 276.
-4*(u - 23)*(u + 3)
Suppose 6*c**5/5 - 2*c**4/5 - 6*c**3/5 + 2*c**2/5 = 0. What is c?
-1, 0, 1/3, 1
Factor 275282*d**4 + 273798*d**3 - 1482*d**2 + 2*d.
2*d*(d + 1)*(371*d - 1)**2
Solve 4*c**5/3 + 17*c**4/3 + 28*c**3/3 + 22*c**2/3 + 8*c/3 + 1/3 = 0 for c.
-1, -1/4
Factor -p**2/5 + 6*p/5 - 8/5.
-(p - 4)*(p - 2)/5
Let -i**4 + 7*i**3 - 15*i**2 + 13*i - 4 = 0. Calculate i.
1, 4
Factor -4*x**4 - 3768*x**3 + 34128*x**2 - 102600*x + 102708.
-4*(x - 3)**3*(x + 951)
Factor o**2 - 9.
(o - 3)*(o + 3)
Solve -2*u**4/3 - 184*u**3/3 + 2*u**2/3 + 184*u/3 = 0 for u.
-92, -1, 0, 1
Determine u, given that -4*u**3 + 212*u**2 - 3680*u + 20800 = 0.
13, 20
Determine k, given that -4*k**4 - 152*k**3 + 4*k**2 + 152*k = 0.
-38, -1, 0, 1
Determine i so that -2*i**4/5 + 4*i**3/5 + 58*i**2/5 - 204*i/5 + 144/5 = 0.
-6, 1, 3, 4
Suppose -4*i**3 - 168*i**2 - 164*i = 0. Calculate i.
-41, -1, 0
Factor 5*g**4 - 40*g**3 - 50*g**2 + 40*g + 45.
5*(g - 9)*(g - 1)*(g + 1)**2
Determine c, given that 2*c**2 - 264*c = 0.
0, 132
Factor 2*i**2/11 - 566*i/11 - 1140/11.
2*(i - 285)*(i + 2)/11
Suppose 3*o**4/4 + 9*o**3/2 - 3*o**2/4 - 9*o/2 = 0. Calculate o.
-6, -1, 0, 1
Solve -2*g**3/7 - 8*g**2 - 198*g/7 - 144/7 = 0.
-24, -3, -1
Determine c, given that -2*c**5/7 - 76*c**4/21 - 82*c**3/21 + 332*c**2/7 - 1088*c/21 + 256/21 = 0.
-8, 1/3, 1, 2
Factor -i**3/3 - 22*i**2/3 + 100*i/3 - 104/3.
-(i - 2)**2*(i + 26)/3
Determine z so that -2*z**5/5 + 6*z**4/5 + 14*z**3/5 - 14*z**2/5 - 36*z/5 - 16/5 = 0.
-1, 2, 4
Let -w**4/5 + 2*w**3 - 4*w**2 - 2*w + 21/5 = 0. What is w?
-1, 1, 3, 7
Find n such that 36*n**5 - 960*n**4 + 3184*n**3 - 3464*n**2 + 1388*n - 184 = 0.
1/3, 1, 2, 23
Let -j**2/2 - 159*j/2 + 80 = 0. What is j?
-160, 1
Factor -2*q**4 - 28*q**3 + 366*q**2 - 1072*q + 736.
-2*(q - 4)**2*(q - 1)*(q + 23)
Factor 4*q**3 + 180*q**2 + 636*q - 820.
4*(q - 1)*(q + 5)*(q + 41)
Factor 2*t**3/15 - 112*t**2/15 - 70*t/3 - 236/15.
2*(t - 59)*(t + 1)*(t + 2)/15
Solve 5*i**4 + 130*i**3 - 5*i**2 - 130*i = 0.
-26, -1, 0, 1
Determine i, given that -2*i**3 + 38*i**2 + 40*i = 0.
-1, 0, 20
Find a such that -a**2/4 + 47*a/4 + 49/2 = 0.
-2, 49
Factor -21*j**2 + 359*j - 34.
-(j - 17)*(21*j - 2)
Solve -5*t**4 + 10*t**2 - 5 = 0 for t.
-1, 1
Let -i**2 - 63*i + 130 = 0. What is i?
-65, 2
Factor -2*x**2/3 + 196*x/3 - 4802/3.
-2*(x - 49)**2/3
Factor 2*u**3/3 - 98*u**2/3 + 92*u/3 + 64.
2*(u - 48)*(u - 2)*(u + 1)/3
Factor -3*n**2/7 + 582*n/7 - 28227/7.
-3*(n - 97)**2/7
Let -2*j**2/11 - 272*j/11 - 9248/11 = 0. What is j?
-68
Factor -i**4/10 + 11*i**3/10 + 38*i**2/5 + 32*i/5.
-i*(i - 16)*(i + 1)*(i + 4)/10
Suppose 6*h**5 + 9*h**4 - 42*h**3 + 12*h**2 + 36*h - 21 = 0. What is h?
-7/2, -1, 1
Determine i, given that -15*i**5 - 51*i**4 - 33*i**3 + 39*i**2 + 48*i + 12 = 0.
-2, -1, -2/5, 1
Find l, given that 9*l**4/5 + 246*l**3/5 + 1884*l**2/5 + 3816*l/5 - 3456/5 = 0.
-16, -6, 2/3
Solve 5*c**2/2 + 5050*c - 10110 = 0.
-2022, 2
Solve -2*y**2/7 - 30*y/7 + 32/7 = 0 for y.
-16, 1
Find h such that 2*h**4/3 - 8*h**3 + 24*h**2 = 0.
0, 6
Factor -3*c**3 + 243*c**2 + 3*c - 243.
-3*(c - 81)*(c - 1)*(c + 1)
Let t**5 + 15*t**4 + 38*t**3 - 156*t**2 - 360*t = 0. What is t?
-10, -6, -2, 0, 3
Factor -20*k**3 + 808*k**2 + 500*k - 328.
-4*(k - 41)*(k + 1)*(5*k - 2)
Solve 4*r**3/5 - 1444*r/5 = 0 for r.
-19, 0, 19
Let 36*l**5 - 472*l**4 + 1312*l**3 + 1624*l**2 - 196*l = 0. Calculate l.
-1, 0, 1/9, 7
Let 3*n**4 + 87*n**3 + 579*n**2 - 855*n - 1350 = 0. What is n?
-15, -1, 2
Factor -2*x**3/17 - 32*x**2/17 - 130*x/17 - 100/17.
-2*(x + 1)*(x + 5)*(x + 10)/17
Factor -4*z**3 + 52*z**2 + 16*z - 208.
-4*(z - 13)*(z - 2)*(z + 2)
Factor -5*i**3 + 15*i**2 + 5*i - 15.
-5*(i - 3)*(i - 1)*(i + 1)
Suppose -4*x**3 + 28*x**2 - 56*x + 32 = 0. What is x?
1, 2, 4
Factor -5*y**3 - 55*y**2 - 175*y - 125.
-5*(y + 1)*(y + 5)**2
Determine x, given that -x**5/3 + 4*x**4/3 + 2*x**3 - 4*x**2/3 - 5*x/3 = 0.
-1,