52, -1, 0
Suppose -10*g**5 - 58*g**4 - 68*g**3 + 76*g**2 + 78*g - 18 = 0. What is g?
-3, -1, 1/5, 1
What is w in -2*w**4 + 2*w**3 + 12*w**2 - 8*w - 16 = 0?
-2, -1, 2
Let 2*a**5 - 10*a**4 + 18*a**3 - 14*a**2 + 4*a = 0. Calculate a.
0, 1, 2
Factor 40*u**2 - 76*u + 24.
4*(2*u - 3)*(5*u - 2)
Solve -2*r**5/19 - 16*r**4/19 + 2*r**3/19 + 16*r**2/19 = 0.
-8, -1, 0, 1
Find q such that -4*q**2 - 212*q - 408 = 0.
-51, -2
Suppose 2*z**5 + 42*z**4 + 342*z**3 + 1350*z**2 + 2592*z + 1944 = 0. What is z?
-6, -3
What is n in -5*n**5/2 - 35*n**4/2 + 95*n**3 - 155*n**2 + 215*n/2 - 55/2 = 0?
-11, 1
Factor 10*g**4 - 82*g**3 + 226*g**2 - 222*g + 36.
2*(g - 3)**2*(g - 2)*(5*g - 1)
Factor -v**4/4 - 7*v**3/2 + 17*v**2/4 + 15*v/2.
-v*(v - 2)*(v + 1)*(v + 15)/4
What is w in 18*w**3 - 321*w**2 - 54*w = 0?
-1/6, 0, 18
Factor -3*p**3/2 - 81*p**2 + 345*p/2 + 252.
-3*(p - 3)*(p + 1)*(p + 56)/2
Solve -5*w**3 - 85*w**2 + 3630*w + 7560 = 0.
-36, -2, 21
Solve -8*g**5/5 - 318*g**4/5 - 3936*g**3/5 - 15316*g**2/5 - 16728*g/5 + 5202/5 = 0.
-17, -3, 1/4
Suppose -4*a**3 + 140*a**2/3 - 124*a - 140/3 = 0. What is a?
-1/3, 5, 7
Factor -3*p**3 - 213*p**2 - 1185*p - 975.
-3*(p + 1)*(p + 5)*(p + 65)
Factor 3*w**2 + 51*w + 48.
3*(w + 1)*(w + 16)
Solve 13*m**2/10 - 12*m/5 - 41/2 = 0.
-41/13, 5
Factor -10*x**2/3 + 169*x/3 + 17/3.
-(x - 17)*(10*x + 1)/3
Let 3*b**5/5 + 6*b**4 - 9*b**3/5 - 324*b**2/5 = 0. Calculate b.
-9, -4, 0, 3
Factor -b**2/2 - 131*b - 261/2.
-(b + 1)*(b + 261)/2
Factor -q**3 - 101*q**2 - 199*q - 99.
-(q + 1)**2*(q + 99)
Factor 2*p**2/3 - 940*p/3 + 110450/3.
2*(p - 235)**2/3
Solve 2*d**3 - 8*d**2 - 62*d + 140 = 0 for d.
-5, 2, 7
Factor h**5 - 56*h**4 - 2*h**3 + 112*h**2 + h - 56.
(h - 56)*(h - 1)**2*(h + 1)**2
Factor j**3/4 + 5*j**2 + 133*j/4 + 147/2.
(j + 6)*(j + 7)**2/4
Factor -n**4/7 - 26*n**3/7 + 27*n**2/7.
-n**2*(n - 1)*(n + 27)/7
Factor -g**3/2 - g**2 + 19*g/2 + 10.
-(g - 4)*(g + 1)*(g + 5)/2
Factor -w**3/3 + 3*w.
-w*(w - 3)*(w + 3)/3
Suppose 2*i**3/3 - 416*i**2/3 - 422*i/3 + 836/3 = 0. Calculate i.
-2, 1, 209
Factor f**5 - 139*f**4 + 137*f**3 + 139*f**2 - 138*f.
f*(f - 138)*(f - 1)**2*(f + 1)
Factor -11*t**4 - 50*t**3 - 41*t**2 + 30*t.
-t*(t + 2)*(t + 3)*(11*t - 5)
Determine g, given that -12*g**2 - 662*g - 110 = 0.
-55, -1/6
Suppose -2601*y**3 + 714*y**2 - 49*y = 0. What is y?
0, 7/51
Find i such that -5*i**5/3 - 160*i**4 - 11990*i**3/3 - 7520*i**2 - 11045*i/3 = 0.
-47, -1, 0
Let -4*w**3 + 316*w**2 - 2336*w + 4544 = 0. What is w?
4, 71
Let -2*y**2 + 4938*y - 4936 = 0. Calculate y.
1, 2468
Find j such that -2*j**3 - 51*j**2 - 25*j = 0.
-25, -1/2, 0
Let -9*z**3 + 291*z**2 + 198*z = 0. What is z?
-2/3, 0, 33
Factor -3*u**2 - 630*u + 1917.
-3*(u - 3)*(u + 213)
Let 2*d**2/3 + 1556*d/3 + 302642/3 = 0. What is d?
-389
Factor -c**5 + 225*c**4 - 18090*c**3 + 602370*c**2 - 7070085*c + 26609229.
-(c - 69)**3*(c - 9)**2
Suppose -y**2 - 3*y + 88 = 0. Calculate y.
-11, 8
Determine t so that 2*t**2/5 - 54*t/5 + 352/5 = 0.
11, 16
Factor -2*m**4/3 + 56*m**3 - 1176*m**2.
-2*m**2*(m - 42)**2/3
Factor 3*s**4 + 24*s**3 - 159*s**2 - 180*s.
3*s*(s - 5)*(s + 1)*(s + 12)
Factor -23762*c**4/9 + 50140*c**3/9 - 29066*c**2/9 + 920*c/3 - 8.
-2*(c - 1)**2*(109*c - 6)**2/9
Find p such that -42*p**5 - 20*p**4 + 34*p**3 + 12*p**2 = 0.
-1, -1/3, 0, 6/7
Factor 2*t**5/7 + 4*t**4 + 62*t**3/7 - 612*t**2/7 - 2808*t/7 - 2160/7.
2*(t - 5)*(t + 1)*(t + 6)**3/7
Suppose -2*l**3/9 - 4*l**2/3 + 16*l = 0. What is l?
-12, 0, 6
Suppose 5*i**2 + 50*i - 280 = 0. What is i?
-14, 4
Factor 98*j**3/5 - 322*j**2/5 + 6*j + 90.
2*(j + 1)*(7*j - 15)**2/5
Determine f so that 9*f**3/4 + 123*f**2/4 + 399*f/4 - 147/4 = 0.
-7, 1/3
What is h in h**5/7 + 2*h**4 + 8*h**3/7 - 62*h**2/7 + 39*h/7 = 0?
-13, -3, 0, 1
Factor -2*q**3 - 1094*q**2 - 147950*q + 453750.
-2*(q - 3)*(q + 275)**2
Let 2*w**5 + 33*w**4 + 144*w**3 + 64*w**2 = 0. Calculate w.
-8, -1/2, 0
Factor -3*x**4 + 58*x**3 - 316*x**2 + 342*x - 81.
-(x - 9)**2*(x - 1)*(3*x - 1)
Find r, given that -3*r**4 + 6*r**3 + 3*r**2 - 6*r = 0.
-1, 0, 1, 2
What is p in -2*p**3/3 + 4*p**2 + 70*p + 196/3 = 0?
-7, -1, 14
Solve -3*q**4/7 + 111*q**3/7 - 396*q**2/7 = 0 for q.
0, 4, 33
Let h**2 - 5*h + 4 = 0. Calculate h.
1, 4
Determine w so that w**5 + 7*w**4 + 11*w**3 - 7*w**2 - 12*w = 0.
-4, -3, -1, 0, 1
Factor 3*d**4 - 3*d**3 - 60*d**2.
3*d**2*(d - 5)*(d + 4)
Factor 2*w**2/13 + 80*w/13 + 600/13.
2*(w + 10)*(w + 30)/13
Find g such that 2*g**2/19 + 112*g/19 + 510/19 = 0.
-51, -5
Factor t**4/3 + 127*t**3/3 + 42*t**2.
t**2*(t + 1)*(t + 126)/3
Factor -6*w**3 + 843*w**2 - 1254*w + 417.
-3*(w - 139)*(w - 1)*(2*w - 1)
Factor -2*g**3/7 - 376*g**2/7 - 370*g/7 + 748/7.
-2*(g - 1)*(g + 2)*(g + 187)/7
Factor v**4 + 4*v**3/3 - 4*v**2 - 16*v/3.
v*(v - 2)*(v + 2)*(3*v + 4)/3
Find g such that -4*g**3 + 828*g**2 - 57132*g + 1314036 = 0.
69
Solve -416*d**4/5 + 132*d**3/5 - 2*d**2 = 0 for d.
0, 1/8, 5/26
Factor p**2/3 - 118*p/3 - 119/3.
(p - 119)*(p + 1)/3
Factor 3*a**3 + 90*a**2 + 756*a + 1944.
3*(a + 6)**2*(a + 18)
Determine c, given that 3*c**4 + 3*c**3 - 24*c**2 - 36*c = 0.
-2, 0, 3
Determine h, given that -4*h**4 + 80*h**3 + 264*h**2 + 272*h + 92 = 0.
-1, 23
Factor -43681*k**4 + 63954*k**3 - k**2 - 17136*k - 3136.
-(k - 1)**2*(209*k + 56)**2
Let 5*b**4 + 5*b**3 - 105*b**2 - 205*b - 100 = 0. What is b?
-4, -1, 5
Factor -t**3/7 + 48*t**2/7 + 99*t/7 + 50/7.
-(t - 50)*(t + 1)**2/7
Determine p, given that 5*p**2/4 - 40*p + 1155/4 = 0.
11, 21
Solve -10*m**2 + 17425*m - 8710 = 0 for m.
1/2, 1742
Suppose -3*s**5/8 - 3*s**4/4 + 33*s**3/8 + 15*s**2 + 33*s/2 + 6 = 0. What is s?
-2, -1, 4
Find n such that 4*n**2/5 + 336*n - 1684/5 = 0.
-421, 1
Factor 3*m**2 + 438*m + 15987.
3*(m + 73)**2
Factor 25*v**3 + 20*v**2 - 51*v + 18.
(v + 2)*(5*v - 3)**2
Factor d**2/3 + 46*d + 1587.
(d + 69)**2/3
Let -x**2/7 + 172*x/7 - 7396/7 = 0. Calculate x.
86
Factor 2*h**5/3 + h**4 - h**2/3.
h**2*(h + 1)**2*(2*h - 1)/3
Factor -h**5 - 3*h**4 + 27*h**3 + 59*h**2 + 30*h.
-h*(h - 5)*(h + 1)**2*(h + 6)
Let -5*p**5 - 175*p**4 + 385*p**3 + 515*p**2 - 1460*p + 740 = 0. What is p?
-37, -2, 1, 2
Find y, given that y**5/6 + y**4/6 - 2*y**3/3 - 2*y**2/3 = 0.
-2, -1, 0, 2
Solve 3*w**2 - 24*w - 27 = 0 for w.
-1, 9
Factor c**3 + 4*c**2 - 957*c.
c*(c - 29)*(c + 33)
Solve -3*k**3 - 27*k**2 - 6*k + 144 = 0.
-8, -3, 2
Let -2*h**2/11 + 56*h/11 - 150/11 = 0. Calculate h.
3, 25
Determine p, given that 49*p**3/8 + 3549*p**2/8 - 255*p + 73/2 = 0.
-73, 2/7
Solve -4*z**4 + 80*z**3 - 216*z**2 + 208*z - 68 = 0 for z.
1, 17
Solve 9*k**5/2 + 35*k**4 + 155*k**3/2 + 35*k**2 - 12*k = 0 for k.
-4, -3, -1, 0, 2/9
Suppose -8*r**5 - 32*r**4/3 + 118*r**3/9 + 46*r**2/9 + 4*r/9 = 0. Calculate r.
-2, -1/6, 0, 1
Solve -5*f**2 + 455*f + 460 = 0 for f.
-1, 92
Factor -2*v**4/5 + 56*v**3/5 + 36*v**2 + 184*v/5 + 62/5.
-2*(v - 31)*(v + 1)**3/5
Find z, given that -2*z**4/11 - 292*z**3/11 - 10656*z**2/11 + 292*z/11 + 10658/11 = 0.
-73, -1, 1
Factor -3*t**3 - 12*t**2 + 15*t.
-3*t*(t - 1)*(t + 5)
Factor -h**4/3 - 8*h**3/3 - 7*h**2 - 22*h/3 - 8/3.
-(h + 1)**2*(h + 2)*(h + 4)/3
Factor l**2/6 + 139*l/3 + 19321/6.
(l + 139)**2/6
Let -n**4 - 22*n**3 - 67*n**2 + 90*n = 0. What is n?
-18, -5, 0, 1
Factor z**2/2 - 303*z - 607/2.
(z - 607)*(z + 1)/2
Find h, given that h**3/2 - 35*h**2/2 + 147*h/2 + 3087/2 = 0.
-7, 21
Factor 14*h**4 + 85*h**3/3 + 44*h**2/3 + h/3.
h*(h + 1)**2*(42*h + 1)/3
Solve 3*t**5 - 9*t**4 = 0.
0, 3
Suppose -3*a**3/7 - 3690*a**2/7 - 1512900*a/7 - 206763000/7 = 0. What is a?
-410
Determine z so that 2*z**2/9 + 290*z/9 - 196/3 = 0.
-147, 2
Factor -6*n**4 - 2*n**3 + 4*n**2.
-2*n**2*(n + 1)*(3*n - 2)
Suppose 2*f**4/9 + 10*f**3/9 - 62*f**2/9 + 86*f/9 - 4 = 0. Calculate f.
-9, 1, 2
Find y such that -147*y**2/4 + 63*y - 27 = 0.
6/7
Factor -q**3 - 241*q**2 - 710*q + 952.
-(q - 1)*(q + 4)*(q + 238)
What is a in -5*a**4/3 + 20*a**3/3 - 5*a**2 = 0?
0, 1, 3
Suppose 2*f**3/9 + 14*f**2/9 - 34*f/9 + 2 = 0. Calculate f.
-9, 1
Find m, given that -2*m**4/9 - 118*m**3/3 - 16520*m**2/9 - 25112*m/3 - 59168/9 = 0.
-86, -4, -1
Factor -2*w**3/13 + 54*w**2 - 6318*w + 246402.
-2*(w - 117)**3/13
Find l, given that -l**5/5 + 22*l**4/5 - 67*l**3/5 - 18*l**2 = 0.
-1, 0, 5, 18
Factor 2*x**2/3 + 4*x/3.
2*x*(x + 2)/3
What is i in 5*i**2 + 1055*i + 3120 = 0?
-208, -3
Factor r**3 + 184*r**2 + 8277*r - 17298.
(r -