**2 + 64*k + 3456 = 0. Calculate k.
-54, -4, 2
Let -5*g**4 - 32*g**3 - 7*g**2 + 152*g + 60 = 0. Calculate g.
-5, -3, -2/5, 2
Factor -4*r**3 - 4*r**2 + 16*r + 16.
-4*(r - 2)*(r + 1)*(r + 2)
Suppose 2*l**3/9 + 38*l**2/9 + 32*l/3 = 0. What is l?
-16, -3, 0
Let y**4/3 - y**3 - 3*y**2 - 5*y/3 = 0. Calculate y.
-1, 0, 5
Factor o**5 - 83*o**4 + 1591*o**3 + 5543*o**2 + 344*o - 7396.
(o - 43)**2*(o - 1)*(o + 2)**2
Find a, given that -2*a**3/5 + 64*a**2/5 + 946*a/5 = 0.
-11, 0, 43
Solve x**2/6 - 24*x + 864 = 0.
72
Let s**2/3 - 181*s/3 - 182/3 = 0. What is s?
-1, 182
Determine i, given that -5*i**5 - 10*i**4 + 55*i**3 + 200*i**2 + 220*i + 80 = 0.
-2, -1, 4
Factor -2*a**3/7 - 82*a**2/7 + 178*a/7 + 258/7.
-2*(a - 3)*(a + 1)*(a + 43)/7
Factor b**2/2 - 39*b/2 + 99.
(b - 33)*(b - 6)/2
Factor -27*g**3/7 - 18*g**2 + 204*g/7 - 72/7.
-3*(g + 6)*(3*g - 2)**2/7
Determine l so that l**3 + 9*l**2 = 0.
-9, 0
Factor 2*h**4 + 48*h**3 - 6*h**2 - 140*h + 96.
2*(h - 1)**2*(h + 2)*(h + 24)
Find d, given that -d**4 + 875*d**3 + 3512*d**2 + 3516*d = 0.
-2, 0, 879
Find s, given that -2*s**4/11 + 16*s**3/11 + 18*s**2/11 = 0.
-1, 0, 9
Let -24*m**2/7 - 15*m/7 + 9/7 = 0. What is m?
-1, 3/8
Factor -o**4/3 - 40*o**3 - 1159*o**2 + 7442*o/3.
-o*(o - 2)*(o + 61)**2/3
Factor h**2/10 + 10*h.
h*(h + 100)/10
Factor -f**4 - 56*f**3 - 88*f**2 + 1056*f - 1296.
-(f - 2)**2*(f + 6)*(f + 54)
Factor -2*z**5/9 + 932*z**4/9 - 47728*z**3/3 + 7000316*z**2/9 + 38698930*z/9.
-2*z*(z - 157)**3*(z + 5)/9
Factor r**5/3 - r**4 - 2*r**3 + 10*r**2/3 + 7*r + 3.
(r - 3)**2*(r + 1)**3/3
Factor 5*r**3/3 + 10*r**2 + 55*r/3 + 10.
5*(r + 1)*(r + 2)*(r + 3)/3
Suppose -3*h**5/2 + 15*h**4/2 + 93*h**3/2 + 129*h**2/2 + 27*h = 0. What is h?
-2, -1, 0, 9
Let 5*h**4 + 270*h**3 - 15*h**2 - 820*h - 540 = 0. What is h?
-54, -1, 2
Factor i**3 - 16*i**2 - 76*i - 80.
(i - 20)*(i + 2)**2
Factor 5*f**4 + 100*f**3 + 270*f**2 + 260*f + 85.
5*(f + 1)**3*(f + 17)
Factor 5*c**2 + 585*c - 7740.
5*(c - 12)*(c + 129)
Determine a, given that 5*a**2 + 45*a + 100 = 0.
-5, -4
Factor -3*a**2 + 432*a.
-3*a*(a - 144)
Solve -2*g**5/3 + 14*g**4/3 + 16*g**3/3 = 0.
-1, 0, 8
Let -4*d**5 + 148*d**4 + 312*d**3 + 8*d**2 - 308*d - 156 = 0. Calculate d.
-1, 1, 39
Factor -13*v**3/2 + 7*v**2.
-v**2*(13*v - 14)/2
Solve -2*h**4 - 12*h**3 + 6*h**2 + 40*h + 24 = 0 for h.
-6, -1, 2
Suppose -2*v**5/5 + 36*v**4/5 - 44*v**3 + 80*v**2 + 150*v - 500 = 0. What is v?
-2, 5
Factor 2*t**3/3 + 8*t**2 - 86*t/3 + 20.
2*(t - 2)*(t - 1)*(t + 15)/3
Let 6*z**5 - 8*z**4 + 2*z**3 = 0. What is z?
0, 1/3, 1
Factor 3*j**3/2 - 6*j**2 - 33*j/2 + 45.
3*(j - 5)*(j - 2)*(j + 3)/2
Factor -w**4/3 + w**3 + 6*w**2 + 4*w/3 - 8.
-(w - 6)*(w - 1)*(w + 2)**2/3
Let 5*l**4 - 100*l**3 + 185*l**2 - 90*l = 0. What is l?
0, 1, 18
Solve -3*z**2/8 + 279*z/8 + 285/4 = 0.
-2, 95
Find q such that -5*q**2 + 275*q + 280 = 0.
-1, 56
Factor -c**4 - 31*c**3 + 65*c**2 - 33*c.
-c*(c - 1)**2*(c + 33)
Determine m so that -6*m**5 - 27*m**4 + 42*m**3 + 123*m**2 - 72*m - 60 = 0.
-5, -2, -1/2, 1, 2
Find t such that -2*t**4/19 - 24*t**3/19 - 54*t**2/19 + 8*t/19 + 72/19 = 0.
-9, -2, 1
Determine r so that -33*r**3/2 - 147*r**2 - 390*r - 324 = 0.
-54/11, -2
Factor -2*d**2 - 120*d + 122.
-2*(d - 1)*(d + 61)
Find j, given that -28*j**4 - 64*j**3 + 180*j**2 - 56*j - 32 = 0.
-4, -2/7, 1
Let 2*x**4/9 - 14*x**3/9 + 10*x**2/9 + 14*x/9 - 4/3 = 0. Calculate x.
-1, 1, 6
Factor 2*j**3/5 - 86*j**2/5 + 238*j - 5202/5.
2*(j - 17)**2*(j - 9)/5
Let -d**4 + 159*d**3 - 1079*d**2 + 2289*d - 1368 = 0. Calculate d.
1, 3, 152
Factor p**4 + 53*p**3 - 223*p**2 + 283*p - 114.
(p - 2)*(p - 1)**2*(p + 57)
Determine u so that u**2 - 73*u + 732 = 0.
12, 61
Let 3*y**5/2 + y**4/2 - 3*y**3 - y**2 + 3*y/2 + 1/2 = 0. What is y?
-1, -1/3, 1
Let r**3/3 + 2*r**2/3 - 31*r/3 + 28/3 = 0. What is r?
-7, 1, 4
Find j, given that 3*j**3 + 51*j**2 + 276*j + 480 = 0.
-8, -5, -4
Let n**2/3 - 208*n/3 + 69 = 0. What is n?
1, 207
Let -q**4/7 - 76*q**3/7 - 1966*q**2/7 - 19836*q/7 - 68121/7 = 0. What is q?
-29, -9
Factor -k**3 - 16*k**2 - 64*k.
-k*(k + 8)**2
Let -2*u**2 + 2900*u - 1051250 = 0. Calculate u.
725
Suppose 2*z**2/17 - 174*z/17 - 176/17 = 0. What is z?
-1, 88
Let -y**5 + 23*y**4 - 103*y**3 - 7*y**2 + 392*y + 272 = 0. Calculate y.
-1, 4, 17
Suppose c**2 + 159*c - 160 = 0. What is c?
-160, 1
Solve 4*y**4 + 296*y**3 + 284*y**2 - 584*y = 0.
-73, -2, 0, 1
Solve 3*y**5 + 21*y**4 - 651*y**3 + 627*y**2 = 0.
-19, 0, 1, 11
Suppose 4*y**3 - 324*y**2 + 8748*y - 78732 = 0. Calculate y.
27
What is d in d**3/2 + d**2 - 95*d/2 + 150 = 0?
-12, 5
Find q such that -30*q**4 + 63*q**3 + 192*q**2 - 108*q = 0.
-2, 0, 1/2, 18/5
Solve -y**3/3 + 20*y**2/3 - 31*y + 42 = 0.
3, 14
Solve -k**5/3 + 8*k**4/3 - 6*k**3 + 4*k**2/3 + 19*k/3 - 4 = 0.
-1, 1, 3, 4
Factor 2*s**3/3 - 38*s**2 + 328*s/3 - 72.
2*(s - 54)*(s - 2)*(s - 1)/3
Factor -m**2 - 150*m - 5625.
-(m + 75)**2
Let 3*q**2 - 810*q - 3288 = 0. What is q?
-4, 274
Determine w so that 25*w**2 - 85*w + 30 = 0.
2/5, 3
Let -256*a**5 + 2624*a**4 - 496*a**3 - 1396*a**2 - 436*a - 40 = 0. What is a?
-1/4, 1, 10
Factor u**3 - 7*u**2 - 8*u.
u*(u - 8)*(u + 1)
Factor -5*m**3 - 385*m**2 + 5*m + 385.
-5*(m - 1)*(m + 1)*(m + 77)
Find y such that -y**2/8 + 37*y/4 - 1369/8 = 0.
37
Factor 2*h**4/17 + 20*h**3/17 + 72*h**2/17 + 112*h/17 + 64/17.
2*(h + 2)**3*(h + 4)/17
Let 300*q**4 + 29000*q**3 + 19172*q**2 - 2712*q - 2304 = 0. What is q?
-96, -3/5, -2/5, 1/3
Determine s so that 5*s**4 + 290*s**3 + 4205*s**2 = 0.
-29, 0
Suppose 2*q**5/3 + q**4/2 - 5*q**3/6 - q**2/2 + q/6 = 0. Calculate q.
-1, 0, 1/4, 1
Find q such that 5*q**4 - 210*q**3 + 780*q**2 - 760*q = 0.
0, 2, 38
Factor -r**3/3 + 25*r + 250/3.
-(r - 10)*(r + 5)**2/3
Factor 2*o**2 + 194*o + 380.
2*(o + 2)*(o + 95)
Let 3*f**5/5 + 21*f**4/5 + 21*f**3/5 - 69*f**2/5 - 24*f/5 + 48/5 = 0. What is f?
-4, -1, 1
Suppose 3*o**5 + 45*o**4 + 147*o**3 + 171*o**2 + 66*o = 0. Calculate o.
-11, -2, -1, 0
Determine n, given that 4*n**5/3 - 988*n**4/3 + 20168*n**3 + 63488*n**2/3 - 123008*n/3 = 0.
-2, 0, 1, 124
Determine j, given that 4*j**4 + 56*j**3 - 132*j**2 - 56*j + 128 = 0.
-16, -1, 1, 2
Factor f**5/8 + 5*f**4 + 57*f**3/4 + 14*f**2 + 37*f/8.
f*(f + 1)**3*(f + 37)/8
Factor 2*w**3/5 - 22*w**2/5 - 24*w/5.
2*w*(w - 12)*(w + 1)/5
Factor p**2 + 250*p + 15625.
(p + 125)**2
Factor 5*v**3 - 15*v**2 - 20*v + 60.
5*(v - 3)*(v - 2)*(v + 2)
What is b in -4*b**4/3 + 80*b**3/3 - 72*b**2 + 208*b/3 - 68/3 = 0?
1, 17
Suppose 4*m**4/5 + 20*m**3 - 104*m**2/5 = 0. Calculate m.
-26, 0, 1
Let -20*z**3/9 - 832*z**2/9 - 8164*z/9 + 3400/9 = 0. Calculate z.
-25, -17, 2/5
Determine x, given that -2*x**3/13 + 24*x**2/13 - 34*x/13 - 60/13 = 0.
-1, 3, 10
Factor -b**3 + 1052*b**2 - 276676*b.
-b*(b - 526)**2
Solve -3*h**4/4 + 136*h**3 + 2027*h**2/4 + 371*h - 185 = 0 for h.
-2, 1/3, 185
Find l such that -8*l**4 - 10*l**3 + 12*l**2 = 0.
-2, 0, 3/4
Find g such that -4*g**2 + 16*g - 16 = 0.
2
Factor n**2/2 + 571*n/2.
n*(n + 571)/2
Solve 3*m**3/2 + 61*m**2/6 - 43*m/3 + 8/3 = 0.
-8, 2/9, 1
Find h such that -39*h**3 + 1725*h**2 - 396*h = 0.
0, 3/13, 44
Determine m so that -5*m**4 + 430*m**3 - 3145*m**2 + 1700*m + 19500 = 0.
-2, 5, 78
Find t such that 2*t**2/3 - 52*t + 304/3 = 0.
2, 76
Find v, given that -72*v**3 + 142*v**2 + 8*v - 8 = 0.
-1/4, 2/9, 2
Factor -2*k**2/7 + 274*k/7 - 804/7.
-2*(k - 134)*(k - 3)/7
Find o, given that -24*o**4/5 + 9668*o**3/5 - 195532*o**2 + 806412*o/5 + 161604/5 = 0.
-1/6, 1, 201
Determine z so that -3*z**2 + 633*z - 630 = 0.
1, 210
Let 5*x**5 + 545*x**4 + 19430*x**3 + 212750*x**2 - 485995*x + 253265 = 0. Calculate x.
-37, 1
Determine v so that -2923362*v**4/7 - 19344*v**3/7 + 135376*v**2/7 + 64*v - 224 = 0.
-2/13, 14/93
What is w in -4*w**4/7 - 132*w**3/7 - 1144*w**2/7 - 768*w/7 + 2048/7 = 0?
-16, -2, 1
Factor -s**2/3 - 8*s - 80/3.
-(s + 4)*(s + 20)/3
Factor -n**3/4 + 87*n**2/4 - 612*n + 5616.
-(n - 39)*(n - 24)**2/4
Find x such that -3*x**5/8 + 63*x**4/8 - 18*x**3 - 51*x**2 + 198*x - 162 = 0.
-3, 2, 18
Suppose -5*j**4 + 10*j**3 + 15*j**2 = 0. Calculate j.
-1, 0, 3
Suppose 2*r**5 - 30*r**4 + 150*r**3 - 290*r**2 + 240*r - 72 = 0. What is r?
1, 6
Factor d**2/6 - 9*d/2 - 14/3.
(d - 28)*(d + 1)/6
Suppose -4*o**5/7 + 40*o**4/7 - 120*o**3/7 + 540*o/7 - 648/7 = 0. Calculate o.
-2, 3
What is y in y**2/5 - 106*y + 14045 = 0?
265
Deter