 -1, -2/3
Factor 2*d**2 + 20*d/3 + 16/3.
2*(d + 2)*(3*d + 4)/3
Solve 2*t**5/7 - 2*t**4/7 - 6*t**3/7 + 2*t**2/7 + 4*t/7 = 0.
-1, 0, 1, 2
Factor 3*h**4/4 - 111*h**3/4 + 885*h**2/4 - 2025*h/4.
3*h*(h - 27)*(h - 5)**2/4
What is p in -p**5/8 + 7*p**3/2 - 27*p**2/4 - 27*p/8 + 27/4 = 0?
-6, -1, 1, 3
Factor -4*q**2 + 2900*q + 2904.
-4*(q - 726)*(q + 1)
Let 2*t**5/7 - 78*t**4/7 - 664*t**3/7 + 888*t**2/7 + 1472*t/7 = 0. What is t?
-8, -1, 0, 2, 46
Suppose -6*p**4/11 - 62*p**3/11 + 58*p**2/11 + 158*p/11 + 4 = 0. What is p?
-11, -1, -1/3, 2
Determine y, given that -4*y**4 + 8*y**3 - 8*y + 4 = 0.
-1, 1
Factor -4*o**2/3 - 8*o/3 + 32/3.
-4*(o - 2)*(o + 4)/3
Factor 3*k**3 + 10209*k**2 + 8680200*k - 8690412.
3*(k - 1)*(k + 1702)**2
What is w in 4*w**2 + 32*w + 64 = 0?
-4
What is p in -2*p**5 + 160*p**4 = 0?
0, 80
Suppose -5*q**2 - 555*q + 560 = 0. Calculate q.
-112, 1
What is z in 15*z**4/7 - 4659*z**3/7 + 358494*z**2/7 + 509184*z/7 + 146016/7 = 0?
-1, -2/5, 156
Factor 3*q**5 - 15*q**4 + 18*q**3 + 6*q**2 - 21*q + 9.
3*(q - 3)*(q - 1)**3*(q + 1)
Factor u**2/3 - 254*u/3.
u*(u - 254)/3
Determine m, given that m**3/4 + 5*m**2/4 + 2*m + 1 = 0.
-2, -1
Factor 4*f**3 - 48*f**2 + 144*f.
4*f*(f - 6)**2
What is i in -2*i**3 - 2*i**2 + 10*i - 6 = 0?
-3, 1
Factor -5*g**5 + 65*g**4 - 110*g**3.
-5*g**3*(g - 11)*(g - 2)
Find g, given that -5*g**5 + 155*g**4 - 1215*g**3 - 2655*g**2 + 35640*g + 84240 = 0.
-3, 12, 13
Suppose -3*g**3 - 4665*g**2 + 9339*g - 4671 = 0. What is g?
-1557, 1
Determine z, given that -2*z**4 + 206*z**3/3 - 812*z**2/3 + 968*z/3 - 80 = 0.
1/3, 2, 30
Factor r**2 - 4*r - 5.
(r - 5)*(r + 1)
Suppose q**5 - 2*q**4 - 11*q**3 + 12*q**2 = 0. Calculate q.
-3, 0, 1, 4
Factor 4*u**2/5 + 1016*u/5 + 64516/5.
4*(u + 127)**2/5
Find l, given that -2*l**4/13 + 46*l**3/13 - 324*l**2/13 + 680*l/13 - 400/13 = 0.
1, 2, 10
Factor -5*k**3 - 155*k**2 - 420*k.
-5*k*(k + 3)*(k + 28)
Factor -d**3/10 + 8*d**2/5 - 73*d/10 + 9.
-(d - 9)*(d - 5)*(d - 2)/10
Factor -u**2/6 + 161*u/3 - 25921/6.
-(u - 161)**2/6
Let -10*l**5 + 16*l**4 + 64*l**3 - 172*l**2 + 138*l - 36 = 0. What is l?
-3, 3/5, 1, 2
Factor -625*r**2/2 + 100*r - 8.
-(25*r - 4)**2/2
Determine q, given that 15*q**5 - 230*q**4 - 985*q**3 - 1120*q**2 - 380*q = 0.
-2, -1, -2/3, 0, 19
Factor 2*u**5 - 2*u**3.
2*u**3*(u - 1)*(u + 1)
Solve -x**5 - 21*x**4/2 - 75*x**3/2 - 52*x**2 - 24*x = 0 for x.
-4, -3/2, -1, 0
Determine q so that -q**5 + 4*q**4 - 2*q**3 - 4*q**2 + 3*q = 0.
-1, 0, 1, 3
Find n such that -8*n**2 - 26*n = 0.
-13/4, 0
Solve -3*h**3 + 384*h**2 = 0.
0, 128
Find x, given that x**3 + 22*x**2 - 47*x + 24 = 0.
-24, 1
Suppose 10*g**4 + 24*g**3 + 18*g**2 + 4*g = 0. What is g?
-1, -2/5, 0
Factor -5*x**2/4 - 23*x/2.
-x*(5*x + 46)/4
Solve 59*u**3/5 + 178*u**2/5 + 121*u/5 + 2/5 = 0 for u.
-2, -1, -1/59
What is j in 3*j**2/2 - 7131*j + 16950387/2 = 0?
2377
Determine d, given that -58*d**2 + 84*d - 26 = 0.
13/29, 1
Factor -2*m**4/9 + 4*m**3/3 + 2*m**2/9 - 4*m/3.
-2*m*(m - 6)*(m - 1)*(m + 1)/9
Let 2*u**4 + u**3 - 18*u**2 - 9*u = 0. Calculate u.
-3, -1/2, 0, 3
Suppose -2*r**2/13 + 2*r - 44/13 = 0. Calculate r.
2, 11
Factor 4*i**2 + 620*i + 7384.
4*(i + 13)*(i + 142)
Find c, given that -4*c**2/3 - 184*c/3 = 0.
-46, 0
Factor 7*h**3/4 - 18*h**2 + 33*h - 8.
(h - 8)*(h - 2)*(7*h - 2)/4
Suppose 2*w**5/13 - 54*w**3/13 - 100*w**2/13 - 48*w/13 = 0. Calculate w.
-4, -1, 0, 6
Factor 20*p**3 + 16*p**2 - 28*p - 24.
4*(p + 1)**2*(5*p - 6)
Find s such that s**3/6 + 381*s**2 + 290322*s + 73741788 = 0.
-762
Factor f**4 + 2*f**3 - 3*f**2.
f**2*(f - 1)*(f + 3)
Let -2*l**4 + 14*l**3 + 6*l**2 - 46*l + 28 = 0. What is l?
-2, 1, 7
Determine o, given that -o**3/10 - o**2/2 + o/10 + 1/2 = 0.
-5, -1, 1
Factor h**3/5 - 77*h**2 - 386*h/5.
h*(h - 386)*(h + 1)/5
Let f**4 - 44*f**3 + 483*f**2 + 44*f - 484 = 0. Calculate f.
-1, 1, 22
Factor -3*v**4 - 9*v**3 + 30*v**2 + 72*v.
-3*v*(v - 3)*(v + 2)*(v + 4)
Suppose 2*o**3 + 1758*o**2 - 3522*o + 1762 = 0. What is o?
-881, 1
Let 2*z**5/5 - 6*z**4 - 206*z**3/5 + 86*z**2/5 + 132*z + 80 = 0. What is z?
-5, -1, 2, 20
What is g in -2*g**4 - 106*g**3 + 108*g**2 = 0?
-54, 0, 1
Factor -y**3 - 65*y**2 + y + 65.
-(y - 1)*(y + 1)*(y + 65)
Solve 2*a**3/9 + 74*a**2/3 = 0.
-111, 0
Factor a**4/9 + a**3/9 - 2*a**2/3.
a**2*(a - 2)*(a + 3)/9
Determine t, given that -165*t**4 + 475*t**3 - 270*t**2 - 40*t = 0.
-4/33, 0, 1, 2
Let 2*i**3/3 - 88*i**2/3 - 182*i/3 - 92/3 = 0. Calculate i.
-1, 46
Factor -4*o**2/5 + 2*o + 24/5.
-2*(o - 4)*(2*o + 3)/5
Find s, given that -s**4/4 + 21*s**3/4 + 6*s**2 - 11*s = 0.
-2, 0, 1, 22
Factor 4*f**4/3 + 8*f**3/3 - 64*f**2 - 392*f/3 - 196/3.
4*(f - 7)*(f + 1)**2*(f + 7)/3
What is j in 4*j**5 - 4*j**4 - 32*j**3 + 32*j**2 + 64*j - 64 = 0?
-2, 1, 2
Factor 33*n**4 + 39*n**3 - 60*n**2 - 12*n.
3*n*(n - 1)*(n + 2)*(11*n + 2)
Factor 4*m**2 - 44*m - 104.
4*(m - 13)*(m + 2)
Factor -2*g**4/7 - 76*g**3/7 - 144*g**2 - 5184*g/7 - 6912/7.
-2*(g + 2)*(g + 12)**3/7
What is r in -3*r**4 - 759*r**3 - 1509*r**2 - 753*r = 0?
-251, -1, 0
Let -20*c**3 + 5*c**2 = 0. Calculate c.
0, 1/4
Factor 3*o**2/5 + 3*o/5 - 36/5.
3*(o - 3)*(o + 4)/5
Suppose -279*o**2/7 + 285*o/7 - 6/7 = 0. Calculate o.
2/93, 1
Determine r so that r**2 + 4546*r + 5166529 = 0.
-2273
Let -6*i**5/7 + 24*i**4/7 + 216*i**3/7 - 132*i**2 - 30*i + 900/7 = 0. Calculate i.
-6, -1, 1, 5
Determine x so that -2*x**3/3 - 16*x**2 - 106*x/3 + 140 = 0.
-21, -5, 2
Factor -4*o**3 - 14*o**2 + 48*o + 90.
-2*(o - 3)*(o + 5)*(2*o + 3)
Let -5*g**5 + 3670*g**4 - 896700*g**3 + 72630250*g**2 + 73530625*g = 0. Calculate g.
-1, 0, 245
Factor 4*k**2/9 + 32*k/9 - 44/3.
4*(k - 3)*(k + 11)/9
Find m, given that -2*m**2/7 + 1006*m/7 - 2004/7 = 0.
2, 501
Determine g so that -28*g**5 - 20*g**4 + 92*g**3 + 4*g**2 - 64*g + 16 = 0.
-2, -1, 2/7, 1
Determine u so that 3*u**2 - 1794*u + 268203 = 0.
299
Find v such that -5*v**4 + 15*v**3 + 15*v**2 - 55*v + 30 = 0.
-2, 1, 3
Factor 3*m**3 + 24*m**2 + 57*m + 36.
3*(m + 1)*(m + 3)*(m + 4)
Factor 15*g**3 + 69*g**2 + 36*g.
3*g*(g + 4)*(5*g + 3)
Factor 3*v**2 - 285*v + 1848.
3*(v - 88)*(v - 7)
Factor -2*w**3/11 + 10*w**2/11 + 12*w/11.
-2*w*(w - 6)*(w + 1)/11
Factor -3*n**3 - 90*n**2 - 891*n - 2904.
-3*(n + 8)*(n + 11)**2
What is q in -5*q**4 + 13*q**3 - 4*q**2 - 4*q = 0?
-2/5, 0, 1, 2
Determine m, given that m**5 - 9*m**4 + 15*m**3 - 7*m**2 = 0.
0, 1, 7
Factor 4*m**4 - 320*m**3 - 12*m**2 + 952*m + 640.
4*(m - 80)*(m - 2)*(m + 1)**2
Solve -p**2 - 65*p + 66 = 0 for p.
-66, 1
Factor -2*z**3 + 740*z**2 - 68450*z.
-2*z*(z - 185)**2
Determine j so that j**2/6 + 2*j + 10/3 = 0.
-10, -2
Factor p**2/6 - 83*p - 500/3.
(p - 500)*(p + 2)/6
Solve -5*t**5 + 30*t**4 - 20*t**3 - 90*t**2 + 25*t + 60 = 0 for t.
-1, 1, 3, 4
Factor 2*u**2/11 + 26*u/11 - 28/11.
2*(u - 1)*(u + 14)/11
Factor -15*f**3 + 215*f**2 + 660*f + 340.
-5*(f - 17)*(f + 2)*(3*f + 2)
Determine s so that -2*s**2 + 26*s = 0.
0, 13
Factor -j**2/2 + 42*j.
-j*(j - 84)/2
Factor a**4/10 + 21*a**3/2 + 297*a**2/5.
a**2*(a + 6)*(a + 99)/10
Factor g**2 + 773*g - 774.
(g - 1)*(g + 774)
Let -6*o**4/7 + 1158*o**3/7 - 2274*o**2/7 - 3438*o/7 = 0. Calculate o.
-1, 0, 3, 191
Factor 3*l**4/4 + 45*l**3/2 + 243*l**2/4.
3*l**2*(l + 3)*(l + 27)/4
Determine q so that -q**3/3 - 2*q**2 - 3*q - 4/3 = 0.
-4, -1
Factor 2*k**2/7 + 500*k/7 + 498/7.
2*(k + 1)*(k + 249)/7
Find s, given that 7*s**4/4 + 4*s**3 - 3*s**2/4 - 4*s - 1 = 0.
-2, -1, -2/7, 1
Factor -3*r**2 + 648*r - 34992.
-3*(r - 108)**2
Suppose -q**2/2 + 295*q/4 + 447/4 = 0. What is q?
-3/2, 149
Factor -2*j**2/7 + 550*j/7 + 552/7.
-2*(j - 276)*(j + 1)/7
Determine d, given that -d**2/3 + 238*d/3 - 14161/3 = 0.
119
Factor -n**4 + 4*n**3 + 3*n**2 - 10*n - 8.
-(n - 4)*(n - 2)*(n + 1)**2
Factor -3*w**2/4 + 297*w/2 - 1755/4.
-3*(w - 195)*(w - 3)/4
Find x such that -5*x**3 + 195*x**2 + 405*x + 205 = 0.
-1, 41
Find d such that -3*d**3/2 + 18*d**2 = 0.
0, 12
Suppose l**5/4 + 23*l**4/4 + 5*l**3 - 11*l**2 = 0. What is l?
-22, -2, 0, 1
Factor d**3/3 + 65*d**2/3 - 512*d/3 - 192.
(d - 8)*(d + 1)*(d + 72)/3
Let -43*w**3 - 88*w**2 - 4*w = 0. What is w?
-2, -2/43, 0
What is u in 5*u**5 + 35*u**4 + 35*u**3 - 115*u**2 - 40*u + 80 = 0?
-4, -1, 1
Solve 3*a**2 - 330*a + 1272 = 0 for a.
4, 106
Factor -3*d**2/4 + 15*d/4.
-3*d*(d - 5)/4
Factor 2*n**4/11 - 38*n**2/11 - 60*n/11.
2*n*(n - 5)*(n + 2)*(n + 3)/11
Factor