*3
Factor 2*y**3/3 + 10*y**2/3 + 14*y/3 + 2.
2*(y + 1)**2*(y + 3)/3
Determine m so that 2*m**5 - 3*m**4 - 63*m**3/8 - 13*m**2/4 - 3*m/8 = 0.
-1, -1/4, 0, 3
Factor z**2/5 - 57*z/5 - 36.
(z - 60)*(z + 3)/5
Determine x so that x**2 + 24*x = 0.
-24, 0
Suppose -3*h**4 - 63*h**3 + 216*h**2 = 0. Calculate h.
-24, 0, 3
Factor -4*a**3 + 4*a**2/3 + 16*a - 16/3.
-4*(a - 2)*(a + 2)*(3*a - 1)/3
Factor 4*q**2 + 100*q - 104.
4*(q - 1)*(q + 26)
Factor 3*s**2/4 - 207*s.
3*s*(s - 276)/4
Factor -v**4/2 - 7*v**3/2 - v**2 + 20*v.
-v*(v - 2)*(v + 4)*(v + 5)/2
Let -4*b**3 + 188*b**2 - 1312*b + 2496 = 0. What is b?
4, 39
Factor -c**5 + 82*c**4 + 3*c**3 - 248*c**2 + 164*c.
-c*(c - 82)*(c - 1)**2*(c + 2)
Factor -2*z**3 - 2034*z**2 + 2036*z.
-2*z*(z - 1)*(z + 1018)
Suppose v**5 - v**3 = 0. Calculate v.
-1, 0, 1
Factor -4*g**4 + 280*g**3 + 604*g**2 - 2032*g + 1152.
-4*(g - 72)*(g - 1)**2*(g + 4)
Factor -14*i**3 - 10*i**2 + 88*i - 24.
-2*(i - 2)*(i + 3)*(7*i - 2)
Factor 3*z**3/5 - 57*z**2/5 + 30*z - 96/5.
3*(z - 16)*(z - 2)*(z - 1)/5
Let -3*c**5 - 44*c**4 + 71*c**3 + 108*c**2 - 68*c - 64 = 0. What is c?
-16, -1, -2/3, 1, 2
Factor 4*o**5/3 + 68*o**4/3 + 80*o**3.
4*o**3*(o + 5)*(o + 12)/3
Factor -6*u**2/7 + 92*u/7 + 64/7.
-2*(u - 16)*(3*u + 2)/7
Factor -3*w**2/2 - 27*w + 525/2.
-3*(w - 7)*(w + 25)/2
What is q in 12*q**5 + 111*q**4 + 243*q**3 + 6*q**2 - 300*q - 72 = 0?
-6, -2, -1/4, 1
Suppose -5*d**4 + 35*d**3 + 50*d**2 - 80*d = 0. What is d?
-2, 0, 1, 8
What is k in -35*k**4 + 230*k**3 - 360*k**2 = 0?
0, 18/7, 4
Determine o so that 4*o**5/13 - 10*o**4/13 - 4*o**3/13 + 10*o**2/13 = 0.
-1, 0, 1, 5/2
Factor -4*x**3 + 28*x**2 + 1056*x - 9792.
-4*(x - 12)**2*(x + 17)
Factor -i**2/5 - 348*i - 3476/5.
-(i + 2)*(i + 1738)/5
Factor -m**4 + 185*m**3/4 - 3159*m**2/4 + 23491*m/4 - 63713/4.
-(m - 13)**3*(4*m - 29)/4
Suppose -12*s**3 + 81*s**2 - 123*s - 36 = 0. What is s?
-1/4, 3, 4
Determine x, given that -x**2 + 78*x - 1521 = 0.
39
Let 6*v**4/5 + 38*v**3/5 - 94*v**2/5 + 10*v = 0. Calculate v.
-25/3, 0, 1
Let 2*v**5/17 + 30*v**4/17 + 96*v**3/17 + 88*v**2/17 = 0. What is v?
-11, -2, 0
Solve -5*r**5 + 70*r**4 - 150*r**3 - 2000*r**2 + 11875*r - 18750 = 0 for r.
-6, 5
Factor n**3/7 - 79*n**2/7 + 78*n/7.
n*(n - 78)*(n - 1)/7
Factor -4*y**4 + 272*y**3 - 4608*y**2 - 1088*y + 18496.
-4*(y - 34)**2*(y - 2)*(y + 2)
Factor -o**3/7 - o**2 + 8*o/7.
-o*(o - 1)*(o + 8)/7
Find z, given that z**5/3 - 11*z**4/3 + 5*z**3 + 35*z**2/3 - 76*z/3 + 12 = 0.
-2, 1, 2, 9
What is o in 5*o**3 + 4085*o**2 - 5*o - 4085 = 0?
-817, -1, 1
Determine z, given that 5*z**3 + 50*z**2 + 160*z + 160 = 0.
-4, -2
Solve 3*m**3 - 129*m**2 = 0 for m.
0, 43
Solve 2*a**2 - 40*a - 42 = 0.
-1, 21
Factor -l**3 + 21*l**2 - 71*l + 51.
-(l - 17)*(l - 3)*(l - 1)
Factor 3*i**3 - 21*i**2 - 294*i.
3*i*(i - 14)*(i + 7)
Factor m**2 + 434*m - 872.
(m - 2)*(m + 436)
Factor 4*n**2 + 56*n + 52.
4*(n + 1)*(n + 13)
Factor 5*j**2 - 30*j.
5*j*(j - 6)
Solve w**2 + 29*w + 54 = 0.
-27, -2
Suppose 25*k**5/3 - 335*k**4 - 4066*k**3/3 - 4964*k**2/3 - 760*k - 352/3 = 0. Calculate k.
-2, -1, -2/5, 44
Factor -2*v**3 - 66*v**2 - 342*v - 486.
-2*(v + 3)**2*(v + 27)
Let -z**4/3 - 4*z**3/3 + 203*z**2/3 - 294*z = 0. Calculate z.
-18, 0, 7
Factor -3*h**5 + 1101*h**4/5 - 438*h**3/5.
-3*h**3*(h - 73)*(5*h - 2)/5
Find s such that 2*s**4/11 - 56*s**3/11 - 314*s**2/11 - 520*s/11 - 24 = 0.
-2, -1, 33
Factor 73*c**5/2 + 328*c**4 + 981*c**3 + 972*c**2 - 27*c/2.
c*(c + 3)**3*(73*c - 1)/2
Let 2*h**2/5 + 2124*h/5 - 2126/5 = 0. What is h?
-1063, 1
Solve -5*s**4/4 - 185*s**3/4 + 200*s**2 - 205*s = 0.
-41, 0, 2
Solve -49*y**4/4 + 105*y**3 + 213*y**2/4 - 55*y + 9 = 0.
-1, 2/7, 9
Solve -4*x**3 + 228*x**2 + 4*x - 228 = 0 for x.
-1, 1, 57
Factor -2*t**2 + 3560*t.
-2*t*(t - 1780)
Determine r so that r**3/4 + 53*r**2/2 - 109*r/4 - 107/2 = 0.
-107, -1, 2
Factor -12*p**2 - 393*p + 99.
-3*(p + 33)*(4*p - 1)
Factor 2*a**2/9 - 5846*a/9.
2*a*(a - 2923)/9
Solve 4*u**5 + 8*u**4 - 16*u**3 - 8*u**2 + 12*u = 0 for u.
-3, -1, 0, 1
Find s, given that -4*s**4/7 + 4*s**3/7 + 24*s**2/7 = 0.
-2, 0, 3
Factor -3*i**2 + 33*i + 306.
-3*(i - 17)*(i + 6)
Suppose -28*x**4 + 428*x**3 - 344*x**2 - 2288*x + 672 = 0. What is x?
-2, 2/7, 3, 14
Let -2*m**5/5 + 58*m**4/5 + 2*m**3/5 - 58*m**2/5 = 0. What is m?
-1, 0, 1, 29
Suppose -3*s**2 + 414*s - 3840 = 0. What is s?
10, 128
Factor 3*l**2 - 7068*l + 4163052.
3*(l - 1178)**2
Suppose -2*a**5/3 + 142*a**4/3 - 816*a**3 - 864*a**2 = 0. What is a?
-1, 0, 36
Factor 2*u**3 + 46*u**2 + 160*u + 152.
2*(u + 2)**2*(u + 19)
Find w, given that -2*w**3/3 + 158*w/3 - 140 = 0.
-10, 3, 7
Factor -16*o**3 + 68*o**2 - 16*o.
-4*o*(o - 4)*(4*o - 1)
Factor -15*f**2 + 80*f - 25.
-5*(f - 5)*(3*f - 1)
Determine s so that -3*s**2 + 2346*s - 458643 = 0.
391
Solve 4*i**4 - 114*i**3 - 244*i**2 = 0 for i.
-2, 0, 61/2
Factor 4*m**4 + 325*m**3 - 578*m**2 + 249*m.
m*(m - 1)*(m + 83)*(4*m - 3)
Let -4*z**3 - 88*z**2 + 92*z = 0. Calculate z.
-23, 0, 1
Factor 5*y**4 - 90*y**2 + 160*y - 75.
5*(y - 3)*(y - 1)**2*(y + 5)
Solve -9*n**3/2 - 1131*n**2/2 - 751*n/2 - 125/2 = 0 for n.
-125, -1/3
Solve -4*f**4/15 + 38*f**3/15 - 26*f**2/5 - 14*f/3 + 10/3 = 0.
-1, 1/2, 5
Find l, given that 2*l**5 + 10*l**4 + 18*l**3 + 14*l**2 + 4*l = 0.
-2, -1, 0
Let -b**5/4 - 2*b**4 + 7*b**3/4 + 25*b**2/2 - 12*b = 0. Calculate b.
-8, -3, 0, 1, 2
Factor 2*m**5 - 10*m**4 + 18*m**3 - 14*m**2 + 4*m.
2*m*(m - 2)*(m - 1)**3
Find l, given that 2*l**3/5 + 4*l**2/5 - 2*l/5 - 4/5 = 0.
-2, -1, 1
Find n, given that 12*n**5 - 64*n**4 - 132*n**3 + 1096*n**2 - 960*n - 1152 = 0.
-4, -2/3, 3, 4
Factor 39*q**2/5 - 174*q/5 + 72/5.
3*(q - 4)*(13*q - 6)/5
Solve 2*p**4 + 5*p**3/2 - 47*p**2/2 - 6*p = 0.
-4, -1/4, 0, 3
Factor 3*h**3 + 75*h**2 + 456*h + 816.
3*(h + 4)**2*(h + 17)
Solve -4*r**4 - 16*r**3 - 12*r**2 = 0.
-3, -1, 0
What is w in -3*w**4 + 27*w**3 + 81*w**2 - 147*w - 198 = 0?
-3, -1, 2, 11
Find d, given that 5*d**3 + 45*d**2 - 870*d + 1520 = 0.
-19, 2, 8
Determine a, given that 5*a**2 + 185*a + 1350 = 0.
-27, -10
Factor 2*w**3 + 26*w**2 + 80*w + 72.
2*(w + 2)**2*(w + 9)
Factor 3*s**4 + 36*s**3 - 147*s**2 - 180*s.
3*s*(s - 4)*(s + 1)*(s + 15)
Find p, given that -6*p**4 + 1336*p**3 + 450*p**2 - 892*p = 0.
-1, 0, 2/3, 223
Let -d**5/4 + 4*d**4 + 57*d**3/4 = 0. Calculate d.
-3, 0, 19
Let 5*q**2 + 890*q + 39605 = 0. Calculate q.
-89
Find s such that 16*s**3 - 132*s**2 - 1900*s - 1344 = 0.
-7, -3/4, 16
Factor 2*r**3 + 294*r**2 + 10032*r - 57760.
2*(r - 5)*(r + 76)**2
Factor -6*r**2/11 + 18*r/11 + 324/11.
-6*(r - 9)*(r + 6)/11
Factor 2*w**2/3 - 444*w.
2*w*(w - 666)/3
Factor -u**3/3 - 5*u**2/3 + 13*u/3 - 7/3.
-(u - 1)**2*(u + 7)/3
Let -x**4/2 + 419*x**3/4 + 371*x**2 + 1489*x/4 + 213/2 = 0. Calculate x.
-2, -1, -1/2, 213
Suppose -3*q**3/2 - 3*q**2/2 + 3*q = 0. What is q?
-2, 0, 1
Find m such that 2*m**3/3 - 4*m**2 - 18*m = 0.
-3, 0, 9
Let -4*k**5 - 88*k**4/5 - 32*k**3/5 = 0. What is k?
-4, -2/5, 0
Determine n, given that -2*n**3/9 - 4*n**2/9 + 2*n/9 + 4/9 = 0.
-2, -1, 1
What is i in 2*i**4/9 + 11*i**3 + 139*i**2/3 + 544*i/9 + 20 = 0?
-45, -2, -1/2
Factor -68*b**2 - 1295*b - 57.
-(b + 19)*(68*b + 3)
Factor -t**5/4 + 4*t**4 - 21*t**3 + 36*t**2.
-t**2*(t - 6)**2*(t - 4)/4
Factor 2*j**5 - 18*j**4 - 44*j**3.
2*j**3*(j - 11)*(j + 2)
Let 26*l**5/3 + 257*l**4/6 + 143*l**3/2 + 134*l**2/3 + 22*l/3 = 0. Calculate l.
-2, -22/13, -1, -1/4, 0
Determine g so that -g**3/4 - 3*g**2 - 21*g/4 - 5/2 = 0.
-10, -1
Factor q**5/9 - 7*q**4/3 + 89*q**3/9 - 151*q**2/9 + 38*q/3 - 32/9.
(q - 16)*(q - 2)*(q - 1)**3/9
Factor -b**2/5 + 63*b/5 - 236/5.
-(b - 59)*(b - 4)/5
Let z**4/6 - 7*z**3/2 + 45*z**2/2 - 81*z/2 = 0. Calculate z.
0, 3, 9
Solve -v**3/2 - v**2 = 0 for v.
-2, 0
Let -t**4/10 + 108*t**3/5 - 321*t**2/5 + 64*t - 213/10 = 0. Calculate t.
1, 213
Suppose 5*o**4 - 670*o**3 + 1965*o**2 + 20*o - 2620 = 0. What is o?
-1, 2, 131
Find m such that -2*m**2/7 - 16*m/7 + 18/7 = 0.
-9, 1
Find x, given that -4*x**5/9 + 1172*x**4/9 - 88672*x**3/9 + 135104*x**2/3 + 79872*x - 442368 = 0.
-3, 4, 144
Factor 5*j**3 + 20*j**2 - 5*j - 20.
5*(j - 1)*(j + 1)*(j + 4)
Factor 4*p**2/3 + 28*p/3 + 8.
4*(p + 1)*(p + 6)/3
Solve -2*c**2 - 24*c = 0 for c.
-12, 0
Suppose 35*a**5 - 320*a**4 + 570*a**3 + 800*a**2 - 125*a = 0. What is a?
-1, 0, 1/7, 5
Suppose 5*b**2 - 135*b = 0. What is b?
0, 27
Let -l**2/3 + 