*4/5 + 27*f**3/5 + 12*f**2/5 - 89*f/10 - 3 = 0.
-1, -1/3, 2, 3, 5
Factor 3*x**3 - 27*x**2 + 78*x - 72.
3*(x - 4)*(x - 3)*(x - 2)
Factor -2*y**2/9 + 8020*y/9 - 8040050/9.
-2*(y - 2005)**2/9
Factor 3*l**2 - 282*l - 285.
3*(l - 95)*(l + 1)
Factor 2*h**4/7 + 200*h**3/7 + 2024*h**2/7 - 148800*h/7 + 1107072/7.
2*(h - 12)**2*(h + 62)**2/7
Factor 2*m**2 + 12*m + 16.
2*(m + 2)*(m + 4)
Solve 27*f**3/7 - 495*f**2/7 - 339*f/7 - 57/7 = 0 for f.
-1/3, 19
Factor -2*x**4/7 - 148*x**3/7 - 3746*x**2/7 - 5328*x - 18144.
-2*(x + 9)**2*(x + 28)**2/7
Suppose -a**4/7 - 45*a**3/7 - 444*a**2/7 - 1648*a/7 - 2112/7 = 0. Calculate a.
-33, -4
Find b such that -2*b**3/3 + 1076*b**2/9 - 3526*b/9 + 352/3 = 0.
1/3, 3, 176
What is g in -5*g**4 - 175*g**3 - 1510*g**2 - 4760*g - 4800 = 0?
-24, -5, -4, -2
Factor 2*x**3/17 - 432*x**2/17 + 23328*x/17.
2*x*(x - 108)**2/17
Factor -h**2/5 - 98*h/5.
-h*(h + 98)/5
Factor 15*j**2 + 849*j - 342.
3*(j + 57)*(5*j - 2)
Let 2*b**5/7 - 2*b**4/7 - 2*b**3/7 + 2*b**2/7 = 0. What is b?
-1, 0, 1
Factor -2*k**2/9 + 10*k/9.
-2*k*(k - 5)/9
Factor -u**5 - 4*u**4 + 131*u**3 - 126*u**2.
-u**2*(u - 9)*(u - 1)*(u + 14)
Find s such that 21*s**5 - 99*s**4 - 51*s**3 + 99*s**2 + 30*s = 0.
-1, -2/7, 0, 1, 5
Let 4*c**2/5 + 64*c/5 - 68/5 = 0. What is c?
-17, 1
Solve -6*g**3/5 + 25398*g**2/5 - 26890128*g/5 + 26864736/5 = 0.
1, 2116
Determine y, given that 2*y**5/19 - 12*y**4/19 - 52*y**3/19 - 24*y**2/19 + 50*y/19 + 36/19 = 0.
-2, -1, 1, 9
Determine d so that 14*d**5 - 310*d**4 + 7704*d**3/7 + 56320*d**2/7 - 61952*d/7 = 0.
-4, 0, 1, 88/7
Determine x, given that -x**2/3 + x/3 + 2 = 0.
-2, 3
Factor 5*i**3 - 100*i**2.
5*i**2*(i - 20)
Solve 2*r**2/3 + 24*r + 70/3 = 0.
-35, -1
Let 15*s**2 - 21*s + 6 = 0. Calculate s.
2/5, 1
Solve -2*j**4/3 - 74*j**3/3 + 76*j**2/3 = 0 for j.
-38, 0, 1
Factor 3*t**2 - 333*t - 7410.
3*(t - 130)*(t + 19)
Solve -2*f**4/19 + 6*f**3/19 + 6*f**2/19 - 22*f/19 + 12/19 = 0 for f.
-2, 1, 3
Let 20*y**5/3 + 148*y**4/3 + 376*y**3/3 + 368*y**2/3 + 32*y = 0. Calculate y.
-3, -2, -2/5, 0
Let -2*b**4 + 50*b**3 - 48*b**2 = 0. Calculate b.
0, 1, 24
Find s such that s**4/3 + 10*s**3 - 72*s**2 = 0.
-36, 0, 6
Factor 2*y**3/5 + 1334*y**2/5 + 43264*y - 2056392/5.
2*(y - 9)*(y + 338)**2/5
Suppose 7*k**2 - 401*k + 114 = 0. Calculate k.
2/7, 57
Factor -q**2/5 - 126*q/5 + 256/5.
-(q - 2)*(q + 128)/5
Factor 25*i**2 + 885*i + 350.
5*(i + 35)*(5*i + 2)
Factor l**2/2 + 771*l/2 - 773.
(l - 2)*(l + 773)/2
Let -2*z**2 - 1802*z + 3612 = 0. Calculate z.
-903, 2
Suppose 5*u**3/4 + 14*u**2 + 41*u + 36 = 0. Calculate u.
-36/5, -2
Factor f**4/5 + 84*f**3/5 - 347*f**2/5 + 438*f/5 - 176/5.
(f - 2)*(f - 1)**2*(f + 88)/5
Suppose -5*r**2 + 5 = 0. What is r?
-1, 1
Factor 45*l**3 - 300*l**2 + 185*l - 30.
5*(l - 6)*(3*l - 1)**2
Determine u, given that 3*u**4 - 9*u**3 - 9*u**2 + 33*u - 18 = 0.
-2, 1, 3
Factor 4*r**2 + 28*r + 40.
4*(r + 2)*(r + 5)
Factor u**3/7 + 9*u**2/7 - 145*u/7 - 153/7.
(u - 9)*(u + 1)*(u + 17)/7
Factor -5*u**3 + 5*u.
-5*u*(u - 1)*(u + 1)
Factor -7*d**3 + 46*d**2 - 21*d - 18.
-(d - 6)*(d - 1)*(7*d + 3)
Factor -4*h**3 + 4044*h**2 - 1024140*h + 1020100.
-4*(h - 505)**2*(h - 1)
Let -z**4 - 19*z**3/4 - 11*z**2/4 + z = 0. Calculate z.
-4, -1, 0, 1/4
Factor -2*h**3/7 + 488*h**2/7 - 30250*h/7 + 58564/7.
-2*(h - 121)**2*(h - 2)/7
Find w such that w**3/2 + 3*w**2/2 + w = 0.
-2, -1, 0
Factor c**4/8 + 3*c**3/8 - c**2/8 - 3*c/8.
c*(c - 1)*(c + 1)*(c + 3)/8
Factor -5*a**4 - 635*a**3 + 2000*a**2 + 6500*a.
-5*a*(a - 5)*(a + 2)*(a + 130)
Factor -5*v**3/3 - 4810*v**2 - 4627220*v - 4451385640/3.
-5*(v + 962)**3/3
Determine b, given that 21*b**5 - 807*b**4 + 10170*b**3 - 39702*b**2 - 30927*b + 19773 = 0.
-1, 3/7, 13
Factor -t**2/3 - 193*t/3 + 194/3.
-(t - 1)*(t + 194)/3
Factor -2*w**2/3 + 184*w/3 - 4232/3.
-2*(w - 46)**2/3
Factor 5*v**2 + 14240*v.
5*v*(v + 2848)
Determine a so that -2*a**2/9 - 32*a/9 - 14 = 0.
-9, -7
Solve -4*l**5 + 49*l**4 - 96*l**3 + 61*l**2 - 10*l = 0.
0, 1/4, 1, 10
What is w in -2*w**5/5 + 44*w**4/5 - 218*w**3/5 - 112*w**2 + 3608*w/5 - 3872/5 = 0?
-4, 2, 11
Factor 3*q**2 + 159*q + 156.
3*(q + 1)*(q + 52)
Solve -b**5 + 6*b**4 - 12*b**3 + 10*b**2 - 3*b = 0 for b.
0, 1, 3
Let -3*p**3/5 - 18*p**2/5 + 111*p/5 - 18 = 0. What is p?
-10, 1, 3
Factor -n**3/5 - 6*n**2/5 + 5*n - 18/5.
-(n - 2)*(n - 1)*(n + 9)/5
Determine d, given that -3*d**2/8 + 9*d/4 = 0.
0, 6
Factor 9*k**3 + 402*k**2 + 265*k + 44.
(k + 44)*(3*k + 1)**2
Factor -u**3 - 12*u**2 - 20*u.
-u*(u + 2)*(u + 10)
Suppose -12*r**4 + 28*r**3 + 216*r**2 + 272*r + 96 = 0. What is r?
-2, -1, -2/3, 6
Factor -3*p**3/5 - 252*p**2/5 - 5292*p/5.
-3*p*(p + 42)**2/5
Factor 12*c**3 + 4155*c**2 + 5178*c + 1035.
3*(c + 1)*(c + 345)*(4*c + 1)
Solve -o**2/3 + 14*o/3 - 49/3 = 0.
7
Suppose 5*h**3 + 35*h**2 - 180 = 0. What is h?
-6, -3, 2
Factor 2*t**2/25 + 534*t/25 + 532/25.
2*(t + 1)*(t + 266)/25
Determine a, given that -108*a**4/5 - 246*a**3/5 - 36*a**2/5 + 136*a/15 - 16/15 = 0.
-2, -2/3, 1/6, 2/9
Factor -14*m**4/15 + 34*m**3/5 - 28*m**2/15.
-2*m**2*(m - 7)*(7*m - 2)/15
Find f such that -f**4 - 43*f**3 + 562*f**2 - 1700*f + 1512 = 0.
-54, 2, 7
Let 5*h**5 + 25*h**4 + 45*h**3 + 35*h**2 + 10*h = 0. Calculate h.
-2, -1, 0
Factor -2*i**4/5 + 2*i**3 - 6*i**2/5 - 18*i/5.
-2*i*(i - 3)**2*(i + 1)/5
Factor -3*z**3 + 747*z**2 + 1506*z.
-3*z*(z - 251)*(z + 2)
Determine u so that 14*u**3 + 118*u**2 + 104*u = 0.
-52/7, -1, 0
Determine i, given that i**5 + 6*i**4 - 35*i**3 + 48*i**2 - 20*i = 0.
-10, 0, 1, 2
Find p such that -p**5/4 - p**4 + 4*p**2 + 4*p = 0.
-2, 0, 2
Solve j**3/4 + 49*j**2/2 + 471*j/4 + 279/2 = 0 for j.
-93, -3, -2
Factor -p**3 - 5*p**2 - 3*p + 9.
-(p - 1)*(p + 3)**2
Factor -4*y**4 - 40*y**3 + 4*y**2 + 40*y.
-4*y*(y - 1)*(y + 1)*(y + 10)
Let -248125504*o**2 + 63008*o - 4 = 0. What is o?
1/7876
Suppose a**4 - 4*a**3 - 18*a**2 - 20*a - 7 = 0. Calculate a.
-1, 7
Let 21*f**5 - 102*f**4 - 162*f**3 + 84*f**2 + 141*f + 18 = 0. What is f?
-1, -1/7, 1, 6
Factor -4*a**3 + 36*a**2 - 96*a + 80.
-4*(a - 5)*(a - 2)**2
Factor r**2 + 117*r - 118.
(r - 1)*(r + 118)
Factor 120*q**2/11 + 2*q/11.
2*q*(60*q + 1)/11
Factor 2*n**2/3 - 202*n/3 + 200/3.
2*(n - 100)*(n - 1)/3
Let 2*v**2/5 + 612*v/5 = 0. Calculate v.
-306, 0
Factor 2*j**3 + 6*j**2 - 176*j - 360.
2*(j - 9)*(j + 2)*(j + 10)
Let f**2/3 + 23*f/3 + 14 = 0. What is f?
-21, -2
Determine t so that t**3/6 - 43*t**2/3 - t/6 + 43/3 = 0.
-1, 1, 86
Factor -6*d**4/5 - 369*d**3/5 - 1116*d**2 + 2883*d/5.
-3*d*(d + 31)**2*(2*d - 1)/5
Suppose -5*m**5 - 875*m**4 - 49500*m**3 - 810000*m**2 + 5400000*m = 0. What is m?
-60, 0, 5
Factor -2*k**3 + 24*k**2 - 90*k + 108.
-2*(k - 6)*(k - 3)**2
Factor -4*k**4 + 28*k**3 + 432*k**2 + 720*k.
-4*k*(k - 15)*(k + 2)*(k + 6)
Factor 4*n**5 + 4*n**4 - 20*n**3 + 12*n**2.
4*n**2*(n - 1)**2*(n + 3)
Factor z**2 - 23*z + 42.
(z - 21)*(z - 2)
Determine l, given that -l**5/7 - 2*l**4/7 - l**3/7 = 0.
-1, 0
What is w in -5*w**2 + 5*w + 100 = 0?
-4, 5
Determine g so that -196*g**4/11 - 182*g**3/11 + 54*g**2/11 + 32*g/11 - 8/11 = 0.
-1, -1/2, 2/7
Let -3*x**5/7 + 402*x**4/7 - 1980*x**3 + 26136*x**2/7 = 0. What is x?
0, 2, 66
Factor -5*a**2 - 2645*a - 2640.
-5*(a + 1)*(a + 528)
Factor -t**5/3 - 82*t**4/3 - 1597*t**3/3 + 1148*t**2 - 588*t.
-t*(t - 1)**2*(t + 42)**2/3
Suppose g**4/6 - 14*g**3/3 + 25*g**2/6 + 9*g = 0. Calculate g.
-1, 0, 2, 27
Factor 4*m**3 - 133*m**2 + 161*m - 32.
(m - 32)*(m - 1)*(4*m - 1)
Let -2*m**2/9 + 56*m/9 - 50/3 = 0. Calculate m.
3, 25
Let -m**2 + 580*m - 84100 = 0. Calculate m.
290
Determine d, given that -4*d**4 - 172*d**3 - 332*d**2 - 164*d = 0.
-41, -1, 0
Suppose 2*m**4/7 - 1682*m**3/7 + 1678*m**2/7 + 1682*m/7 - 240 = 0. Calculate m.
-1, 1, 840
Factor -2*t**3/3 - 78*t**2 - 1584*t + 43560.
-2*(t - 15)*(t + 66)**2/3
Factor -2*c**2 + 384*c + 386.
-2*(c - 193)*(c + 1)
Determine s, given that 2*s**2 + 8364*s - 8366 = 0.
-4183, 1
Factor -r**4/9 - 4*r**3/9 + 76*r**2/9 - 224*r/9 + 64/3.
-(r - 4)*(r - 2)**2*(r + 12)/9
Find s, given that -s**2/3 - 374*s/3 - 34969/3 = 0.
-187
Factor -2*w**3/13 - 10*w**2/13.
-2*w**2*(w + 5)/13
Factor -2*u**2 + 60*u - 58.
-2*(u - 29)*(u - 1)
Determine o so that -3*o**3 + 33*o**2 + 75*o + 39 = 0.
-1, 13
Let 2*y**5/7 + 40*y**4/7 - 44*y**3/7 - 40*y**2/7 + 6*y = 0. What is y?
-21, -1, 0, 1
Determine z, given that z**4 - 8*z**3 - 19*z**2 - 10*z