3*s**3 - 25*s**2/4 + 25*s/8 = 0 for s.
-5, 0, 1, 5
Factor -f**3/6 + 2*f**2/3 + 5*f/6.
-f*(f - 5)*(f + 1)/6
What is d in -3*d**4 + 24*d**3 + 90*d**2 + 96*d + 33 = 0?
-1, 11
Factor -4*w**2 + 92*w - 88.
-4*(w - 22)*(w - 1)
Find m, given that -3*m**5/8 + 11*m**4/8 - 5*m**3/8 - 3*m**2/8 = 0.
-1/3, 0, 1, 3
Determine r, given that -5*r**5 + 50*r**4 + 10*r**3 - 100*r**2 - 5*r + 50 = 0.
-1, 1, 10
Factor 77*r**3 - 460*r**2 + 373*r + 10.
(r - 5)*(r - 1)*(77*r + 2)
Let 5*i**2 + 10*i = 0. What is i?
-2, 0
Let 4*k**3 - 424*k**2 - 860*k - 432 = 0. Calculate k.
-1, 108
Suppose -4*i**3 + 440*i**2 - 436*i = 0. Calculate i.
0, 1, 109
Factor -5*v**2 - 245*v.
-5*v*(v + 49)
Suppose 2*v**4/15 - 14*v**3/15 - 2*v**2/15 + 14*v/15 = 0. What is v?
-1, 0, 1, 7
Factor 2*b**3/9 + 24*b**2 + 864*b + 10368.
2*(b + 36)**3/9
Determine y, given that -92*y**2/3 + 1100*y/3 + 16 = 0.
-1/23, 12
Factor -h**5/2 + 39*h**4 - 928*h**3 + 9856*h**2 - 49152*h + 94208.
-(h - 46)*(h - 8)**4/2
Factor -2*o**2/9 + 20*o/3 + 4550/9.
-2*(o - 65)*(o + 35)/9
Determine u so that -2*u**4/11 - 38*u**3/11 - 100*u**2/11 - 64*u/11 = 0.
-16, -2, -1, 0
Factor -2*d**3 + 96*d**2 + 2*d - 96.
-2*(d - 48)*(d - 1)*(d + 1)
Factor -2*h**3 + 216*h**2 + 662*h + 444.
-2*(h - 111)*(h + 1)*(h + 2)
Factor -s**3/9 - 433*s**2/9 - 48*s.
-s*(s + 1)*(s + 432)/9
Factor 4*q**2 - 1320*q + 108900.
4*(q - 165)**2
Determine y so that 2*y**4/3 - 145*y**3/6 + 340*y**2/3 - 905*y/6 + 31 = 0.
1/4, 2, 3, 31
Factor 2*z**3 - 6618*z**2 + 5478048*z - 5471432.
2*(z - 1654)**2*(z - 1)
Suppose -t**5/7 + 65*t**4/7 - 9*t**3 - 65*t**2/7 + 64*t/7 = 0. Calculate t.
-1, 0, 1, 64
Let -3*f**4 - 6*f**3 + 36*f**2 - 42*f + 15 = 0. Calculate f.
-5, 1
Solve t**4/6 + t**3/6 - t**2/2 - t/6 + 1/3 = 0 for t.
-2, -1, 1
What is f in -4*f**5 + 40*f**4 - 76*f**3 - 120*f**2 = 0?
-1, 0, 5, 6
Factor -j**5/3 + 7*j**4/3 - 5*j**3 + 13*j**2/3 - 4*j/3.
-j*(j - 4)*(j - 1)**3/3
Suppose -2*l**5/9 - 1576*l**4/9 - 1048*l**3/3 + 4*l**2/9 + 3146*l/9 + 524/3 = 0. Calculate l.
-786, -1, 1
Factor 5*o**3 + 5*o**2 - 25*o + 15.
5*(o - 1)**2*(o + 3)
Factor x**2/4 + 5*x/4.
x*(x + 5)/4
Find q, given that -2*q**5/3 + 4*q**4/3 + 10*q**3/3 - 20*q**2/3 - 8*q/3 + 16/3 = 0.
-2, -1, 1, 2
Factor 2*y**2/3 - 2656*y/3 + 881792/3.
2*(y - 664)**2/3
Find k, given that -2*k**5/13 - 8*k**4/13 + 40*k**3/13 - 20*k**2/13 - 38*k/13 + 28/13 = 0.
-7, -1, 1, 2
Factor -9*t**3 + 6*t**2 + 96*t + 96.
-3*(t - 4)*(t + 2)*(3*t + 4)
Suppose 2*g**4 + 74*g**3 - 234*g**2 + 238*g - 80 = 0. What is g?
-40, 1
Factor g**3/3 - 29*g**2/3 + 272*g/3 - 832/3.
(g - 13)*(g - 8)**2/3
Factor 3*x**4/5 - 51*x**2/5 - 108*x/5 - 12.
3*(x - 5)*(x + 1)*(x + 2)**2/5
Solve m**5 + 10*m**4 + 29*m**3 + 32*m**2 + 12*m = 0 for m.
-6, -2, -1, 0
Suppose 25*w**4/3 - 370*w**3/3 + 884*w**2/3 - 536*w/3 + 32 = 0. Calculate w.
2/5, 2, 12
Find k, given that -250*k**5/9 + 50*k**4 - 30*k**3 + 6*k**2 = 0.
0, 3/5
Factor -l**2/2 + 7*l/2 + 4.
-(l - 8)*(l + 1)/2
Suppose -3*y**2/4 - 2385*y - 1896075 = 0. What is y?
-1590
Factor g**4/3 - 5*g**3/3 - 343*g**2/3 - 667*g/3 - 110.
(g - 22)*(g + 1)**2*(g + 15)/3
Factor 18*x**3 + 856*x**2 - 3448*x/9 + 128/3.
2*(x + 48)*(9*x - 2)**2/9
Suppose -i**3/2 + 22*i**2 - 629*i/2 + 1445 = 0. What is i?
10, 17
Factor -28*a**2 - 932*a - 264.
-4*(a + 33)*(7*a + 2)
Factor -n**3/6 - 3*n**2/2 - 4*n - 10/3.
-(n + 2)**2*(n + 5)/6
Factor -2*y**2/11 + 420*y/11 - 22050/11.
-2*(y - 105)**2/11
What is w in -2*w**2/9 + 14*w/9 + 152/3 = 0?
-12, 19
Factor -2*j**3/3 + 212*j**2/3 + 366*j + 444.
-2*(j - 111)*(j + 2)*(j + 3)/3
Factor -w**5 - 48*w**4 + 960*w**3 - 4096*w**2.
-w**2*(w - 8)**2*(w + 64)
Suppose 24*s**3 + 52*s**2 + 8*s = 0. Calculate s.
-2, -1/6, 0
Let -14*v**3 + 3*v**2 = 0. What is v?
0, 3/14
What is z in 3*z**5/5 - 9*z**4/5 - 6*z**3/5 + 18*z**2/5 + 3*z/5 - 9/5 = 0?
-1, 1, 3
Solve -2*m**4 + 218*m**3 - 1260*m**2 + 2488*m - 1648 = 0.
2, 103
Factor 6*h**2/5 - 63*h + 156/5.
3*(h - 52)*(2*h - 1)/5
Factor -36*p**4 - 219*p**3 - 450*p**2 - 324*p - 24.
-3*(p + 2)**3*(12*p + 1)
What is z in 3*z**3/7 + 135*z**2/7 - 3*z/7 - 135/7 = 0?
-45, -1, 1
Factor -38*h**5/7 - 4*h**4/7.
-2*h**4*(19*h + 2)/7
Factor -4*r**2/3 - 60*r.
-4*r*(r + 45)/3
Factor -a**3 - 81*a**2 - 828*a.
-a*(a + 12)*(a + 69)
Let -2*t**2/11 + 104*t/11 - 102/11 = 0. Calculate t.
1, 51
Factor h**5/3 - 2*h**4 - h**3/3 + 2*h**2.
h**2*(h - 6)*(h - 1)*(h + 1)/3
Factor -5*o**2 + 35*o - 60.
-5*(o - 4)*(o - 3)
Find n such that 4*n**5 + 6*n**4 - 90*n**3 + 110*n**2 + 6*n - 36 = 0.
-6, -1/2, 1, 3
Suppose -2*k**2 + 1492*k - 278258 = 0. Calculate k.
373
Factor 4*m**4 - 108*m**3 + 664*m**2 + 1008*m - 1568.
4*(m - 14)**2*(m - 1)*(m + 2)
Determine a, given that 2*a**4/15 + 406*a**3/15 + 2774*a**2/15 + 1966*a/5 + 1176/5 = 0.
-196, -3, -1
Let 5*o**5 - 34*o**4 - 52*o**3 + 26*o**2 + 47*o + 8 = 0. Calculate o.
-1, -1/5, 1, 8
Find v, given that -20*v**3 + 428*v**2 + 272*v - 176 = 0.
-1, 2/5, 22
Factor 20*h**4 + 355*h**3 + 1830*h**2 + 2080*h - 640.
5*(h + 2)*(h + 8)**2*(4*h - 1)
Factor 2*y**3/7 - 20*y**2/7 + 32*y/7.
2*y*(y - 8)*(y - 2)/7
Factor -55*w**3 + 650*w**2 - 485*w - 110.
-5*(w - 11)*(w - 1)*(11*w + 2)
Find j such that 3*j**4 - 24*j**3 - 1143*j**2 - 3216*j - 2100 = 0.
-14, -2, -1, 25
Find k such that -4*k**4 + 200*k**3 + 204*k**2 = 0.
-1, 0, 51
Factor -6*a**4 + 20*a**3 - 18*a**2 + 4*a.
-2*a*(a - 2)*(a - 1)*(3*a - 1)
Factor 4*a**2/5 + 32*a/5 + 48/5.
4*(a + 2)*(a + 6)/5
Factor 3*x**5 + 30*x**4 + 102*x**3 + 156*x**2 + 111*x + 30.
3*(x + 1)**3*(x + 2)*(x + 5)
Factor 649*w**3/5 + 651*w**2/5 + 2*w/5.
w*(w + 1)*(649*w + 2)/5
Factor -3*t**3 + 186*t**2 + 780*t + 792.
-3*(t - 66)*(t + 2)**2
Factor -64*p**3/5 + 592*p**2 - 737*p/5 + 46/5.
-(p - 46)*(8*p - 1)**2/5
Find x, given that 2*x**2 - 16*x + 24 = 0.
2, 6
Factor n**4 - n**3/3 - 2*n**2/3.
n**2*(n - 1)*(3*n + 2)/3
Factor v**2/7 - 22*v/7.
v*(v - 22)/7
Suppose -g**4/5 + 3*g**3 - 78*g**2/5 + 32*g - 96/5 = 0. What is g?
1, 4, 6
Suppose -k**4 - 30*k**3 + 63*k**2 - 32*k = 0. Calculate k.
-32, 0, 1
Factor 28*k**5 + 384*k**4 + 1260*k**3 - 392*k**2.
4*k**2*(k + 7)**2*(7*k - 2)
Determine a, given that -4*a**2 - 20*a + 96 = 0.
-8, 3
Factor 50*y**3/3 + 18*y**2 - 32*y - 8/3.
2*(y - 1)*(y + 2)*(25*y + 2)/3
Factor -2*h**2/5 - 852*h/5 - 90738/5.
-2*(h + 213)**2/5
Factor 2*d**2/5 - 454*d/5 + 180.
2*(d - 225)*(d - 2)/5
Factor -2*n**3/7 - 10*n**2/7.
-2*n**2*(n + 5)/7
What is p in -3*p**3/7 - 24*p**2/7 - 60*p/7 - 48/7 = 0?
-4, -2
Suppose 4*h**3/9 - 32*h**2/9 + 28*h/3 - 8 = 0. What is h?
2, 3
Factor -j**2/5 + 5906*j/5 - 8720209/5.
-(j - 2953)**2/5
Factor -2*h**3 + 36*h**2 + 186*h - 220.
-2*(h - 22)*(h - 1)*(h + 5)
Factor 5*u**2 - 285*u + 280.
5*(u - 56)*(u - 1)
Let 2*o**4/21 - 8*o**3/21 + 4*o**2/7 - 8*o/21 + 2/21 = 0. What is o?
1
Determine k, given that 2*k**3/9 - 14*k**2/9 + 14*k/9 + 10/3 = 0.
-1, 3, 5
Factor 3*u**3/5 + 216*u**2/5 + 1584*u/5 + 3072/5.
3*(u + 4)**2*(u + 64)/5
Factor 2*o**2/3 + 100*o/3 - 34.
2*(o - 1)*(o + 51)/3
Factor 4*o**2 + 24*o + 20.
4*(o + 1)*(o + 5)
Factor -t**2/9 + 56*t/9 - 55.
-(t - 45)*(t - 11)/9
Suppose -g**4 - 71*g**3 - 1009*g**2 - 5061*g - 7938 = 0. What is g?
-54, -7, -3
What is t in 4*t**2 - 188*t + 840 = 0?
5, 42
Solve 4*f**5 - 12*f**4 - 68*f**3 - 36*f**2 + 64*f + 48 = 0 for f.
-2, -1, 1, 6
Factor 2*x**4/5 - 36*x**3/5 - 2*x**2/5 + 36*x/5.
2*x*(x - 18)*(x - 1)*(x + 1)/5
Find i such that i**4/4 - 7*i**3/2 + 9*i**2 - 17*i/2 + 11/4 = 0.
1, 11
Factor -2*i**4/5 - 22*i**3/5 - 38*i**2/5 - 18*i/5.
-2*i*(i + 1)**2*(i + 9)/5
Factor 4*b**3 + 616*b**2 + 22436*b - 99856.
4*(b - 4)*(b + 79)**2
Determine a so that -2*a**5/15 + 8*a**4/15 - 2*a**3/15 - 28*a**2/15 + 8*a/3 - 16/15 = 0.
-2, 1, 2
Factor -m**3/4 - 25*m**2/2 - 97*m/4 - 12.
-(m + 1)**2*(m + 48)/4
What is g in g**2/6 - 13*g/2 - 41/3 = 0?
-2, 41
Factor b**2/2 + 255*b/2 - 387.
(b - 3)*(b + 258)/2
Factor 3*w**4 - 27*w**3 - 234*w**2 - 516*w - 360.
3*(w - 15)*(w + 2)**3
Factor -f**3/6 - f**2/3 + 73*f/6 - 35/3.
-(f - 7)*(f - 1)*(f + 10)/6
Let d**3 - 216*d**2 - 876*d - 880 = 0. Calculate d.
-2, 220
Factor 106*a**2/11 + 1270*a/11 - 24/11.
2*(a + 12)*(53*a - 1)/11
Factor -2*b**3/5 - 5796*b**2/5 - 11586*b/5 - 5792/5.
-2*(b + 1)**2*(b + 2896)/5
Solve -6*o**5/5 + 58*o**4/5 - 78*o**3/5 - 26*o**2/5 + 84*o/5 - 32/5 = 0 for o.
-1, 2/3, 1, 8
Factor 4*n**3 + 44*n**2 + 124*n + 84.
4*(n + 1)*(n + 3)*(n + 7)
Let 17*o**4/2 - 154*o**