given that 2*u**4/3 - 166*u**3 - 502*u**2/3 + 166*u + 500/3 = 0.
-1, 1, 250
Let 4*t**4 - 4*t**3 - 8*t**2 = 0. Calculate t.
-1, 0, 2
Factor m**4 - 73*m**3 + 1638*m**2 - 7436*m - 87880.
(m - 26)**3*(m + 5)
Let -2*v**5/9 - 494*v**4/9 + 496*v**3/9 = 0. Calculate v.
-248, 0, 1
Factor 2*h**3/5 - 6316*h**2/5 + 4986482*h/5.
2*h*(h - 1579)**2/5
Suppose -2*b**3 + 5346*b**2 - 3569790*b - 3575138 = 0. What is b?
-1, 1337
Solve 16*c**4/3 - 152*c**3 - 1013*c**2 + 1604*c/3 - 68 = 0 for c.
-6, 1/4, 34
Factor -o**4/4 + 11*o**3/4 + 10*o**2 + 7*o.
-o*(o - 14)*(o + 1)*(o + 2)/4
Suppose 2*m**4/11 + 4*m**3/11 - 8*m**2/11 - 4*m/11 + 6/11 = 0. Calculate m.
-3, -1, 1
Factor 12*k**2 + 242*k/7 - 76/7.
2*(6*k + 19)*(7*k - 2)/7
Factor 3*z**4/5 + 6*z**3 - 3*z**2/5 - 6*z.
3*z*(z - 1)*(z + 1)*(z + 10)/5
Factor -2*f**3/3 - 8*f**2/3 + 8*f/3 + 32/3.
-2*(f - 2)*(f + 2)*(f + 4)/3
What is n in 9*n**4/5 - n**3/5 - 9*n**2/5 + n/5 = 0?
-1, 0, 1/9, 1
Let -2*q**3/13 + 14*q**2/13 + 34*q/13 + 18/13 = 0. Calculate q.
-1, 9
Factor -3*s**3/2 + 7*s**2/2 - 5*s/2 + 1/2.
-(s - 1)**2*(3*s - 1)/2
Find o such that -3*o**3 + 9*o**2 + 147*o + 135 = 0.
-5, -1, 9
Let -2*h**3/9 - 74*h**2/9 + 120*h + 128 = 0. Calculate h.
-48, -1, 12
Factor -2*a**3/5 - 1932*a**2/5 - 622104*a/5 - 66772496/5.
-2*(a + 322)**3/5
Factor 2*t**4/5 + 6*t**3/5 + 2*t**2/5 - 6*t/5 - 4/5.
2*(t - 1)*(t + 1)**2*(t + 2)/5
What is n in -n**3/7 - 97*n**2/7 = 0?
-97, 0
What is u in 9*u**5 - 33*u**4 - 117*u**3 - 63*u**2 + 48*u + 36 = 0?
-1, 2/3, 6
What is d in -3*d**3/4 + 2052*d**2 - 1871424*d + 568912896 = 0?
912
Let -r**5/7 + 68*r**4/7 - 1446*r**3/7 + 9860*r**2/7 - 21025*r/7 = 0. What is r?
0, 5, 29
Determine z, given that 2*z**5 + 954*z**4 - 958*z**3 - 954*z**2 + 956*z = 0.
-478, -1, 0, 1
Factor r**2/4 + 385*r/4 - 291.
(r - 3)*(r + 388)/4
Let 4*q**4 + 1912*q**3 + 228480*q**2 - 1912*q - 228484 = 0. Calculate q.
-239, -1, 1
Determine f so that -121*f**5/4 + 187*f**4 - 366*f**3 + 487*f**2/2 - 143*f/4 + 3/2 = 0.
1/11, 1, 2, 3
Determine b, given that -2*b**3/5 + 2*b**2 - 12*b/5 = 0.
0, 2, 3
Factor -2*g**4/15 - 8*g**3/5 - 4*g**2 - 56*g/15 - 6/5.
-2*(g + 1)**3*(g + 9)/15
Determine q so that -q**3/4 - 45*q**2/2 - 350*q = 0.
-70, -20, 0
What is y in -2*y**5/15 - 6*y**4/5 - 38*y**3/15 + 6*y**2/5 + 8*y/3 = 0?
-5, -4, -1, 0, 1
Suppose 2*d**5 + 4*d**4 + 2*d**3 = 0. Calculate d.
-1, 0
Suppose 4*p**5 + 10*p**4 - 102*p**3 - 272*p**2 + 160*p = 0. Calculate p.
-4, 0, 1/2, 5
Factor 4*s**3 - 18*s**2 + 20*s - 6.
2*(s - 3)*(s - 1)*(2*s - 1)
Find f, given that 3*f**3 + 66*f**2 = 0.
-22, 0
Solve 5*j**4 + 490*j**3 + 3265*j**2 + 7340*j + 5460 = 0.
-91, -3, -2
Factor 3*d**4/4 - 39*d**3/4 - 3*d**2/4 + 39*d/4.
3*d*(d - 13)*(d - 1)*(d + 1)/4
Find i such that 2*i**2 - 4026*i - 12096 = 0.
-3, 2016
Let 5*a**4 - 75*a**3 + 50*a**2 + 300*a - 280 = 0. Calculate a.
-2, 1, 2, 14
Suppose 2*y**3 + 184*y**2 - 2*y - 184 = 0. Calculate y.
-92, -1, 1
Let -5*q**5/3 + 50*q**4/3 - 45*q**3 - 70*q**2/3 + 640*q/3 - 160 = 0. Calculate q.
-2, 1, 3, 4
What is r in -7*r**3 + 9*r**2 + 12*r - 4 = 0?
-1, 2/7, 2
Suppose -3*q**4/4 + 51*q**3/4 - 69*q**2 + 147*q - 108 = 0. Calculate q.
2, 4, 9
Factor -3*u**4 + 69*u**3 - 429*u**2 + 363*u.
-3*u*(u - 11)**2*(u - 1)
Suppose 2*y**3/3 + 42*y**2 + 238*y/3 - 122 = 0. What is y?
-61, -3, 1
Factor z**2/3 + 14*z/3 - 32/3.
(z - 2)*(z + 16)/3
Factor -g**3 + 2*g**2 + 4*g - 8.
-(g - 2)**2*(g + 2)
Factor 220*h**2 - 5935*h + 1470.
5*(4*h - 1)*(11*h - 294)
Factor -u**3/2 + 10*u**2 + 23*u/2 - 21.
-(u - 21)*(u - 1)*(u + 2)/2
Factor 2*p**2/3 - 1352*p/3 + 228488/3.
2*(p - 338)**2/3
Let -12*a**5 + 96*a**4 - 75*a**3 - 69*a**2 + 39*a + 21 = 0. Calculate a.
-1/2, 1, 7
Factor -4*l**4 + 412*l**3 + 1272*l**2.
-4*l**2*(l - 106)*(l + 3)
Factor -16*o**4 + 200*o**3 - 873*o**2 + 1534*o - 845.
-(o - 5)*(o - 1)*(4*o - 13)**2
Solve -2*f**4/7 - 2*f**3/7 + 82*f**2/7 + 30*f = 0 for f.
-5, -3, 0, 7
Factor -2*z**5/5 + 328*z**4/5 - 16808*z**3/5 + 55104*z**2 - 282240*z.
-2*z*(z - 70)**2*(z - 12)**2/5
What is v in 2*v**4/5 + 2*v**3 + 12*v**2/5 - 8*v/5 - 16/5 = 0?
-2, 1
What is o in 2*o**2/15 - 48*o/5 + 142/15 = 0?
1, 71
Suppose 3*l**4/4 + 417*l**3/4 + 9729*l**2/2 + 77763*l + 73002 = 0. Calculate l.
-46, -1
Determine y, given that 3*y**4/2 - 492*y**3 + 39843*y**2 + 83160*y - 245025/2 = 0.
-3, 1, 165
Factor j**4/2 + 7*j**3/2.
j**3*(j + 7)/2
Find m, given that 5*m**2 + 8780*m + 3854420 = 0.
-878
Suppose -2*w**5/17 + 44*w**4/17 - 290*w**3/17 + 304*w**2/17 + 1664*w/17 + 1024/17 = 0. What is w?
-1, 8
Suppose -3*u**2 - 33*u + 36 = 0. Calculate u.
-12, 1
Solve 2*y**2/11 - 28*y + 1078 = 0 for y.
77
Suppose -q**5/2 + 11*q**4 - 48*q**3 - 144*q**2 = 0. Calculate q.
-2, 0, 12
Determine s, given that 2*s**3/7 + 16*s**2/7 + 24*s/7 = 0.
-6, -2, 0
Factor -12*v**2 + 21*v + 90.
-3*(v + 2)*(4*v - 15)
Factor 2*k**4/13 - 36*k**3/13 + 194*k**2/13 - 288*k/13 + 128/13.
2*(k - 8)**2*(k - 1)**2/13
Factor -m**4/4 - 19*m**3/4 - 25*m**2/2 - 8*m.
-m*(m + 1)*(m + 2)*(m + 16)/4
Determine z, given that 3*z**3 + 120*z**2 = 0.
-40, 0
Suppose 49*n**4/2 - 133*n**3 + 81*n**2/2 + 58*n + 10 = 0. Calculate n.
-2/7, 1, 5
Suppose -3*w**3/5 + 27*w**2/5 - 69*w/5 + 9 = 0. What is w?
1, 3, 5
Solve -2*s**4 + 294*s**3 - 870*s**2 + 866*s - 288 = 0 for s.
1, 144
Factor o**3 + 19*o**2 + 63*o + 45.
(o + 1)*(o + 3)*(o + 15)
Factor 2*m**3/5 + 6*m**2/5 - 56*m/5.
2*m*(m - 4)*(m + 7)/5
Factor -21*x**3/5 + 27*x**2/5 - 6*x/5.
-3*x*(x - 1)*(7*x - 2)/5
Suppose -5*f**3 - 15*f**2 + 20*f = 0. What is f?
-4, 0, 1
Suppose x**4/2 + 753*x**3/2 + 70308*x**2 - 214326*x = 0. Calculate x.
-378, 0, 3
Factor 2*g**3/7 + 50*g**2/7 - 656*g/7 - 1496/7.
2*(g - 11)*(g + 2)*(g + 34)/7
Factor -n**4/4 + 3*n**3/4 + 9*n**2/2 + n - 6.
-(n - 6)*(n - 1)*(n + 2)**2/4
Determine j so that -5*j**4/4 + 5*j**3/4 + 25*j**2/2 - 5*j - 30 = 0.
-2, 2, 3
What is y in y**5 + 21*y**4/2 + 69*y**3/2 + 83*y**2/2 + 33*y/2 = 0?
-11/2, -3, -1, 0
Find v, given that v**3 + 24*v**2 + 180*v + 400 = 0.
-10, -4
Factor m**3/5 + 238*m**2/5 + 892*m + 4360.
(m + 10)**2*(m + 218)/5
Find d, given that -4*d**2 + 12*d - 8 = 0.
1, 2
Factor 20*d**2 + 156*d - 32.
4*(d + 8)*(5*d - 1)
Factor -z**2 + 814*z - 165649.
-(z - 407)**2
Factor -3*j**5/2 + 63*j**4 + 648*j**3 + 2025*j**2 + 4131*j/2.
-3*j*(j - 51)*(j + 3)**3/2
Factor -9945*b**2 + 1010*b + 80.
-5*(13*b - 2)*(153*b + 8)
Factor 2*s**2/7 + 16048*s/7 + 32192288/7.
2*(s + 4012)**2/7
Let p**2 + 35*p - 36 = 0. Calculate p.
-36, 1
Factor 40*j**4 - 236*j**3 - 24*j**2.
4*j**2*(j - 6)*(10*j + 1)
Suppose 5*l**3/3 - 14*l**2/3 - 53*l/3 - 10/3 = 0. Calculate l.
-2, -1/5, 5
Suppose 2*m**4/5 - 2*m**3 - 44*m**2/5 - 32*m/5 = 0. What is m?
-2, -1, 0, 8
Find n such that -5*n**3 + 20*n**2 + 95*n + 70 = 0.
-2, -1, 7
Factor -3*m**5 + 120*m**4 - 231*m**3 + 114*m**2.
-3*m**2*(m - 38)*(m - 1)**2
Suppose -9*s**5 + 606*s**4 + 4127*s**3/4 + 907*s**2/4 - 691*s/4 + 69/4 = 0. Calculate s.
-1, 1/6, 69
Factor -2*o**2 - 1036*o - 1034.
-2*(o + 1)*(o + 517)
Factor -2*o**4 + 114*o**3 - 1774*o**2 + 3942*o + 5832.
-2*(o - 27)**2*(o - 4)*(o + 1)
Factor -8*v**4 - 1560*v**3 + 1566*v**2 - 392*v.
-2*v*(v + 196)*(2*v - 1)**2
Factor 2*c**4/7 + 30*c**3/7 + 54*c**2/7 - 486*c/7.
2*c*(c - 3)*(c + 9)**2/7
Let -27*p**4/2 - 159*p**3 + 1719*p**2/2 - 831*p + 144 = 0. Calculate p.
-16, 2/9, 1, 3
Find y, given that -4*y**5/3 + 16*y**4/3 + 8*y**3 - 64*y**2/3 - 116*y/3 - 16 = 0.
-1, 3, 4
Factor -4*g**3 - 128*g**2 - 836*g + 968.
-4*(g - 1)*(g + 11)*(g + 22)
Suppose -4*o**5 - 20*o**4 + 44*o**3 + 148*o**2 - 328*o + 160 = 0. Calculate o.
-5, -4, 1, 2
Solve -3*g**4/7 + 3*g**3 + 3*g**2/7 - 3*g = 0 for g.
-1, 0, 1, 7
Factor o**5 - 4*o**4 - 2*o**3 + 12*o**2 + 9*o.
o*(o - 3)**2*(o + 1)**2
Factor -4*h**2 - 848*h - 44944.
-4*(h + 106)**2
Factor s**5/3 + 4*s**4/3 + 2*s**3/3 - 4*s**2/3 - s.
s*(s - 1)*(s + 1)**2*(s + 3)/3
What is k in -15*k**5 - 24*k**4 - 3*k**3 + 6*k**2 = 0?
-1, 0, 2/5
What is j in -3*j**4 - 3699*j**3 - 1520289*j**2 - 208279593*j = 0?
-411, 0
Suppose -3*z**4 - 30*z**3 + 72*z**2 = 0. Calculate z.
-12, 0, 2
Find i such that 5*i**2 + 245*i + 240 = 0.
-48, -1
Determine v so that -2*v**2 + 200 = 0.
-10, 10
Factor -2*v**3/15 + 252*v**2 - 158760*v + 33339600.
-2*(v - 630)**3/15
Find t, given that 3*t**3/4 - 3*t**2/2 - 75*t/4 + 75/2 = 0.
-5, 2, 5
Solve -110*o**2 + 554*o - 20 = 0 for o.
2/55, 5
Solve 2*b**3 - 2*b**2 - 82*