1, 49
Find v such that -2*v**5 - 14*v**4 - 22*v**3 + 14*v**2 + 24*v = 0.
-4, -3, -1, 0, 1
What is n in 3*n**3 + 36*n**2 + 108*n + 96 = 0?
-8, -2
Factor 9*u**5/4 + 457*u**4/4 - 233*u**3/2.
u**3*(u - 1)*(9*u + 466)/4
Let 2*z**3 - 10*z**2 + 4*z + 16 = 0. What is z?
-1, 2, 4
Suppose x**5/3 + 3*x**4 + 7*x**3/3 - 3*x**2 - 8*x/3 = 0. Calculate x.
-8, -1, 0, 1
Factor -h**2 + 4*h + 5.
-(h - 5)*(h + 1)
Find c, given that -3*c**5/7 + 25*c**4/7 + 118*c**3/7 - 258*c**2/7 - 117*c + 297/7 = 0.
-3, 1/3, 3, 11
Find h such that -2*h**4 + 12*h**2 - 16*h + 6 = 0.
-3, 1
Determine s so that -2*s**2/9 - 122*s/9 - 592/3 = 0.
-37, -24
Factor 2*b**2/7 - 162*b/7 + 160/7.
2*(b - 80)*(b - 1)/7
Factor -42*c**3 - 250*c**2 + 16*c + 24.
-2*(c + 6)*(3*c - 1)*(7*c + 2)
Factor -w**4 - 32*w**3 - 384*w**2 - 2048*w - 4096.
-(w + 8)**4
Determine l so that -5*l**5 + 10*l**3 - 5*l = 0.
-1, 0, 1
What is x in -8*x**4 + 140*x**3 + 1476*x**2 + 628*x - 700 = 0?
-7, -1, 1/2, 25
Determine f, given that 2*f**2 + 1784*f - 7168 = 0.
-896, 4
What is y in -y**5/5 + 7*y**4/5 + 7*y**3/5 - 11*y**2 + 42*y/5 = 0?
-3, 0, 1, 2, 7
Solve 2*c**3/13 - 6*c**2/13 + 4*c/13 = 0 for c.
0, 1, 2
Factor k**4/4 + 25*k**3/2 + 933*k**2/4 + 1925*k + 5929.
(k + 11)**2*(k + 14)**2/4
What is k in -2*k**3/17 + 154*k**2/17 + 160*k/17 - 312/17 = 0?
-2, 1, 78
Let -g**4 + 41*g**3 - 39*g**2 - 41*g + 40 = 0. What is g?
-1, 1, 40
Suppose -y**3 - 12*y**2 - 45*y - 50 = 0. Calculate y.
-5, -2
What is h in 4*h**4 + 14*h**3 + 8*h**2 - 14*h - 12 = 0?
-2, -3/2, -1, 1
Factor -4*u**4 - 168*u**3 - 164*u**2.
-4*u**2*(u + 1)*(u + 41)
Factor 2*m**3 - 58*m**2 - 60*m.
2*m*(m - 30)*(m + 1)
Solve 2*g**5/5 - 27*g**4/10 - 11*g**3/10 + 27*g**2/10 + 7*g/10 = 0.
-1, -1/4, 0, 1, 7
Factor -5*a**3 - 47*a**2 - 58*a - 16.
-(a + 1)*(a + 8)*(5*a + 2)
Factor 2*g**2/3 + 2668*g/3 + 889778/3.
2*(g + 667)**2/3
Determine u, given that -5*u**4 - 75*u**3 - 195*u**2 - 185*u - 60 = 0.
-12, -1
Factor q**4/3 + 6*q**3 - 7*q**2 - 38*q/3.
q*(q - 2)*(q + 1)*(q + 19)/3
Factor 2*j**2/13 + 132*j/13 + 496/13.
2*(j + 4)*(j + 62)/13
Factor 2*b**4/5 - 18*b**3/5 + 58*b**2/5 - 78*b/5 + 36/5.
2*(b - 3)**2*(b - 2)*(b - 1)/5
Factor o**5 - 8*o**4 - 42*o**3 - 68*o**2 - 47*o - 12.
(o - 12)*(o + 1)**4
Solve 4*f**5/7 - 844*f**4/7 + 44932*f**3/7 - 6060*f**2 - 12600*f = 0.
-1, 0, 2, 105
Factor 2*a**2/3 + 106*a/3 - 36.
2*(a - 1)*(a + 54)/3
Factor -3*d**3/4 - 3*d**2/4 + 15*d/4 - 9/4.
-3*(d - 1)**2*(d + 3)/4
Factor -3*t**3 + 12*t**2 + 177*t - 378.
-3*(t - 9)*(t - 2)*(t + 7)
Factor -n**4 + 50*n**3 - 624*n**2 - 50*n + 625.
-(n - 25)**2*(n - 1)*(n + 1)
Let -10*g**4 - 186*g**3 - 874*g**2 - 390*g + 308 = 0. Calculate g.
-11, -7, -1, 2/5
Factor 2*s**5/11 + 152*s**4/11 - 1296*s**3/11 + 3968*s**2/11 - 5344*s/11 + 2688/11.
2*(s - 2)**4*(s + 84)/11
Factor 5*q**3/7 + 13*q**2/7 + 6*q/7.
q*(q + 2)*(5*q + 3)/7
Determine k, given that 3*k**4 - 3411*k**3 = 0.
0, 1137
Factor -p**2/3 - 23*p/3 - 14.
-(p + 2)*(p + 21)/3
Factor 3*q**3/8 + 33*q**2/2.
3*q**2*(q + 44)/8
Determine v so that -v**2 + 1013*v - 1012 = 0.
1, 1012
Let -2*w**3/5 + 268*w**2/5 + 448*w + 4544/5 = 0. Calculate w.
-4, 142
What is n in 3*n**5 - 6*n**4 - 12*n**3 + 6*n**2 + 9*n = 0?
-1, 0, 1, 3
Find r such that 5*r**3 + 365*r**2/4 - 145*r/2 - 95/4 = 0.
-19, -1/4, 1
Factor -5*s**2/3 - 2780*s/3 - 386420/3.
-5*(s + 278)**2/3
Factor 2*b**4/3 + 22*b**3/3 + 38*b**2/3 + 6*b.
2*b*(b + 1)**2*(b + 9)/3
Factor 5*z**5 + 175*z**4 + 335*z**3 + 165*z**2.
5*z**2*(z + 1)**2*(z + 33)
Factor 2*m**2/17 - 382*m/17.
2*m*(m - 191)/17
Suppose 35*p**4 + 2005*p**3 - 1460*p**2 - 580*p = 0. What is p?
-58, -2/7, 0, 1
Let 2*j**4/7 - 92*j**3/7 + 576*j**2/7 - 1188*j/7 + 702/7 = 0. Calculate j.
1, 3, 39
Let 6*y**5 + 250*y**4/7 + 194*y**3/7 - 34*y**2/7 - 20*y/7 = 0. What is y?
-5, -1, -2/7, 0, 1/3
Factor -2*y**4 - 12*y**3 - 18*y**2 + 8*y + 24.
-2*(y - 1)*(y + 2)**2*(y + 3)
Solve 4*f**2/5 + 376*f/5 - 768/5 = 0.
-96, 2
Factor 3*l**3 + 39*l**2 - 12*l - 156.
3*(l - 2)*(l + 2)*(l + 13)
Factor 3*o**2/2 + 1383*o/2 - 693.
3*(o - 1)*(o + 462)/2
Factor -3*w**3 + 180*w**2 + 957*w + 1170.
-3*(w - 65)*(w + 2)*(w + 3)
Factor 3*p**3 - 189*p**2 + 186*p.
3*p*(p - 62)*(p - 1)
Suppose j**5/6 - j**4/2 + j**3/3 = 0. Calculate j.
0, 1, 2
Find r such that 5*r**4 + 155*r**3 - 1065*r**2 + 1665*r = 0.
-37, 0, 3
Suppose -2*l**3/3 - 134*l**2/3 + 2*l/3 + 134/3 = 0. What is l?
-67, -1, 1
Find u, given that 9*u**3/2 - 6*u**2 + 2*u = 0.
0, 2/3
Solve -z**2/9 + 17*z/3 - 188/9 = 0.
4, 47
Solve c**4 - 15*c**3 + 58*c**2 + 24*c - 320 = 0.
-2, 4, 5, 8
Factor 3*j**4/7 - 3*j**3 + 27*j**2/7 + 81*j/7 - 162/7.
3*(j - 3)**3*(j + 2)/7
Find q, given that -10*q**3 + 81*q**2/4 - q/2 = 0.
0, 1/40, 2
Factor 5*c**3 + 85*c**2 + 155*c + 75.
5*(c + 1)**2*(c + 15)
Factor -x**2 + 382*x - 760.
-(x - 380)*(x - 2)
Determine u so that 3*u**4/5 - 16*u**3/5 - 87*u**2/5 - 104*u/5 - 36/5 = 0.
-2, -1, -2/3, 9
Factor -a**5 + 7*a**3 + 2*a**2 - 12*a - 8.
-(a - 2)**2*(a + 1)**2*(a + 2)
Solve 4*r**4/3 + 2*r**3 - 10*r**2/3 = 0.
-5/2, 0, 1
Find y, given that 2*y**3/9 + 62*y**2/9 + 560*y/9 + 392/3 = 0.
-14, -3
Factor -m**2 + 42*m.
-m*(m - 42)
Suppose d**2/5 - 1/5 = 0. What is d?
-1, 1
Let -5*l**3/3 - 15*l**2 - 115*l/3 - 25 = 0. What is l?
-5, -3, -1
Determine d so that -14*d**2 + 9400*d - 11045000/7 = 0.
2350/7
Factor 4*g**5 - 16*g**3 - 8*g**2 + 12*g + 8.
4*(g - 2)*(g - 1)*(g + 1)**3
Solve 2*t**3 - 44*t**2/5 + 16*t/5 = 0.
0, 2/5, 4
Factor 5*l**4/4 - 15*l**2/4 - 5*l/2.
5*l*(l - 2)*(l + 1)**2/4
What is s in s**4/2 + 43*s**3/6 + s**2 - 18*s + 28/3 = 0?
-14, -2, 2/3, 1
Determine d, given that d**5/10 - 2*d**4/5 - d**3/5 + 4*d**2/5 + d/10 - 2/5 = 0.
-1, 1, 4
Solve -r**2/4 - 849*r/4 + 851/2 = 0 for r.
-851, 2
Find w such that -2*w**3/17 + 120*w**2/17 + 246*w/17 + 124/17 = 0.
-1, 62
Factor -5*m**3 + 250*m**2 - 3125*m.
-5*m*(m - 25)**2
Determine z so that z**5 + 2109*z**4/7 + 86*z**3 = 0.
-301, -2/7, 0
Factor -w**2 - 4*w + 165.
-(w - 11)*(w + 15)
Factor -n**3 - 7*n**2 + n + 7.
-(n - 1)*(n + 1)*(n + 7)
Solve -2*b**4 - 14*b**3 + 82*b**2 - 66*b = 0 for b.
-11, 0, 1, 3
Solve -4*m**2 - 12*m + 40 = 0 for m.
-5, 2
What is h in -3*h**5 + 48*h**4 - 192*h**3 + 102*h**2 + 195*h - 150 = 0?
-1, 1, 5, 10
Factor -b**5/10 + 2*b**3/5.
-b**3*(b - 2)*(b + 2)/10
Suppose -2*v**2 + 30088*v - 113160968 = 0. What is v?
7522
Solve 5*y**2/6 - 24755*y/6 - 12380/3 = 0.
-1, 4952
Factor x**2/2 + 355*x - 711/2.
(x - 1)*(x + 711)/2
Find x, given that 4*x**3/7 + 132*x**2/7 + 584*x/7 + 96 = 0.
-28, -3, -2
Let 4*y**2/7 + 120*y/7 + 324/7 = 0. What is y?
-27, -3
Let 2*s**4/5 + 113*s**3/5 + 321*s**2 + 719*s/5 - 155 = 0. Calculate s.
-31, -25, -1, 1/2
Factor 2*l**2/3 + 824*l/3 + 84872/3.
2*(l + 206)**2/3
Let 27*b**5/2 - 27*b**4/2 - 36*b**3 + 4*b**2 + 24*b + 8 = 0. What is b?
-2/3, 1, 2
Factor -2*f**3 - 120*f**2 - 1800*f.
-2*f*(f + 30)**2
Solve 2*u**2 + 1428*u + 2848 = 0 for u.
-712, -2
Determine z, given that -49*z**5 - 273*z**4 - 46*z**3 + 1212*z**2 + 680*z + 96 = 0.
-4, -3, -2/7, 2
Factor -5*t**3 + 45*t**2 - 10*t - 240.
-5*(t - 8)*(t - 3)*(t + 2)
Factor 3*g**5 - 216*g**4 + 4296*g**3 - 14688*g**2 + 13872*g.
3*g*(g - 34)**2*(g - 2)**2
Suppose -2*q**2/9 + 2*q/9 = 0. What is q?
0, 1
Solve k**4/2 - 1885*k**3 + 3545677*k**2/2 + 7113990*k + 7121538 = 0 for k.
-2, 1887
Find c, given that 4*c**4 + 24*c**3 - 48*c**2 - 224*c + 384 = 0.
-6, -4, 2
Solve -2*d**5/7 + 6*d**4/7 - 4*d**3/7 = 0 for d.
0, 1, 2
Let -d**4/4 - 31*d**3/4 + 74*d**2 - 156*d = 0. Calculate d.
-39, 0, 4
Suppose -3*d**5 - 15*d**4 - 27*d**3 - 21*d**2 - 6*d = 0. What is d?
-2, -1, 0
Factor 2*b**2/13 + 934*b/13 + 1860/13.
2*(b + 2)*(b + 465)/13
Suppose 27*z**2 - 93*z + 36 = 0. Calculate z.
4/9, 3
Factor -4*a**4 - 20*a**3 - 8*a**2 + 32*a.
-4*a*(a - 1)*(a + 2)*(a + 4)
Suppose -3*j**4/2 - 183*j**3/2 - 3435*j**2/2 - 22893*j/2 - 16731 = 0. What is j?
-33, -13, -2
Factor o**4/7 + 8*o**3/7 + 22*o**2/7 + 24*o/7 + 9/7.
(o + 1)**2*(o + 3)**2/7
Determine a, given that 5*a**2 - 535*a - 1090 = 0.
-2, 109
Factor 4*y**5 - 24*y**4 + 52*y**3 - 48*y**2 + 16*y.
4*y*(y - 2)**2*(y - 1)**2
Factor 9*j**5 - 3*j**4 - 54*j**3 + 90*j**2 - 51*j + 9.
3*(j - 1)**3*(j + 3)*(3*j - 1)
Factor -45*x**3/2 + 115*x**2/2 - 15*x - 20.
-5*(x - 2)*(x - 1)*(9*x + 4)/2
Factor -x**3/4 - x**2/4 + x/2.
-x*(x - 1)*(x + 2)/4
Factor 5*z**3/2 + 5*z**2/2 - 25*z/2 + 15/2.
5*(z - 1)**2*(z + 3)/2
