 2/5
Find s, given that -2*s**5 - 72*s**4 - 234*s**3 + 692*s**2 - 384*s = 0.
-32, -6, 0, 1
Let -2*a**5/21 + 16*a**4/7 + 114*a**3/7 + 76*a**2/3 + 80*a/7 = 0. What is a?
-4, -1, 0, 30
Determine z, given that 27*z**4/8 - 10971*z**3/4 + 9129*z**2/2 - 8517*z/4 + 2433/8 = 0.
1/3, 1, 811
Let m**5/2 + 5*m**4 + 37*m**3/2 + 32*m**2 + 26*m + 8 = 0. What is m?
-4, -2, -1
Suppose -d**5/3 + d**4/3 + 4*d**3 + 4*d**2/3 - 16*d/3 = 0. Calculate d.
-2, 0, 1, 4
Factor 4*l**3 + 80*l**2 + 144*l.
4*l*(l + 2)*(l + 18)
Let 3*n**3 - 9*n**2 + 6*n = 0. Calculate n.
0, 1, 2
Suppose -2*s**3 + 306*s**2 - 2056*s + 1752 = 0. Calculate s.
1, 6, 146
Factor 2*v**5 + 32*v**4 + 154*v**3 + 196*v**2.
2*v**2*(v + 2)*(v + 7)**2
Determine j, given that 4*j**5/7 + 4*j**4 + 16*j**3/7 - 48*j**2/7 = 0.
-6, -2, 0, 1
Let 2*q**3/21 - 118*q**2/21 - 1520*q/21 - 200/3 = 0. Calculate q.
-10, -1, 70
Determine f so that 17*f**4 + 11*f**3 - 23*f**2 - 11*f + 6 = 0.
-1, 6/17, 1
Suppose 2*w**5 + 60*w**4 - 194*w**3 + 132*w**2 = 0. What is w?
-33, 0, 1, 2
Let 7*v**4 - 152*v**3 + 789*v**2 - 448*v - 196 = 0. What is v?
-2/7, 1, 7, 14
Factor 4*g**4 - 696*g**3 - 700*g**2.
4*g**2*(g - 175)*(g + 1)
What is t in 14*t**3 - 52*t**2 + 58*t - 20 = 0?
5/7, 1, 2
Factor 4*u**3 - 948*u**2 + 53724*u + 292820.
4*(u - 121)**2*(u + 5)
Find y, given that y**2/3 + 29*y/3 = 0.
-29, 0
Determine i so that -58*i**4 + 55*i**3 + 235*i**2 - 220*i - 12 = 0.
-2, -3/58, 1, 2
Solve -2*f**3/11 + 150*f**2/11 + 306*f/11 + 14 = 0.
-1, 77
Suppose 13*k**3/5 + 18*k**2 + 71*k/5 - 6/5 = 0. Calculate k.
-6, -1, 1/13
Factor -z**4 + 5*z**3 + 38*z**2 - 132*z - 360.
-(z - 6)**2*(z + 2)*(z + 5)
Determine a, given that -3*a**5/7 + 6*a**4/7 + 15*a**3/7 - 30*a**2/7 - 12*a/7 + 24/7 = 0.
-2, -1, 1, 2
Suppose -2*p**4 + 294*p**3 - 14406*p**2 + 235298*p = 0. What is p?
0, 49
Factor -2*m**2 - 130*m - 128.
-2*(m + 1)*(m + 64)
Suppose -z**3 + 7*z**2 + 34*z - 40 = 0. Calculate z.
-4, 1, 10
Solve -3*q**5 + 9*q**4 + 21*q**3 - 45*q**2 - 54*q = 0.
-2, -1, 0, 3
Factor 5*u**2 - 45*u - 180.
5*(u - 12)*(u + 3)
Suppose -2*v**5/3 - 16*v**4 - 86*v**3/3 + 16*v**2 + 88*v/3 = 0. Calculate v.
-22, -2, -1, 0, 1
Factor 5*z**4 - 15*z**3 - 100*z**2 + 240*z + 320.
5*(z - 4)**2*(z + 1)*(z + 4)
Factor -2*c**2/7 - 54*c/7 - 52/7.
-2*(c + 1)*(c + 26)/7
Solve k**5 + 31*k**4 + 234*k**3 + 526*k**2 + 469*k + 147 = 0.
-21, -7, -1
Determine f so that -15*f**2/7 - 243*f/7 + 204/7 = 0.
-17, 4/5
Let -3*z**3 - 324*z**2 - 636*z = 0. Calculate z.
-106, -2, 0
Find c such that -3*c**4/7 + 9*c**3/7 + 69*c**2/7 + 99*c/7 + 6 = 0.
-2, -1, 7
Find b such that 2*b**4/13 + 32*b**3/13 + 56*b**2/13 = 0.
-14, -2, 0
Find u, given that 4*u**4 - 26*u**3/3 + 2*u**2 + 6*u - 10/3 = 0.
-5/6, 1
Determine w so that -w**2/2 + 9*w/2 - 4 = 0.
1, 8
Find g such that g**5 - 8*g**4 - 6*g**3 + 40*g**2 + 61*g + 24 = 0.
-1, 3, 8
Determine w, given that -2*w**4/9 + 22*w**3/9 - 52*w**2/9 + 32*w/9 = 0.
0, 1, 2, 8
Suppose g**3/8 + g**2/2 - 3*g/8 - 9/4 = 0. What is g?
-3, 2
Factor c**4 + 2*c**3 - 55*c**2 - 200*c.
c*(c - 8)*(c + 5)**2
Solve -4*s**5/11 + 94*s**4/11 - 12*s**3 - 2*s**2/11 + 4*s = 0.
-1/2, 0, 1, 22
Solve -105*x**4 - 879*x**3 - 1875*x**2 - 489*x + 180 = 0.
-5, -3, -4/7, 1/5
Factor -50*d**3/3 - 180*d**2 - 616*d - 1936/3.
-2*(d + 2)*(5*d + 22)**2/3
Factor 5*n**5 - 430*n**4 + 2810*n**3 - 3420*n**2 - 10935*n + 21330.
5*(n - 79)*(n - 3)**3*(n + 2)
Factor -2*l**2/7 + 3768*l/7 - 1774728/7.
-2*(l - 942)**2/7
Solve 5*i**3 - 2830*i**2 = 0.
0, 566
Factor -2*r**3 - 50*r**2 - 304*r - 256.
-2*(r + 1)*(r + 8)*(r + 16)
Factor 2*t**4 - 208*t**3 + 5612*t**2 - 10608*t + 5202.
2*(t - 51)**2*(t - 1)**2
What is l in -4*l**2 - 728*l - 33124 = 0?
-91
Let 60*n**4 - 505*n**3 - 350*n**2 + 305*n + 90 = 0. Calculate n.
-1, -1/4, 2/3, 9
Let t**5/3 - 112*t**4/3 + 2377*t**3/3 + 43534*t**2/3 + 79484*t/3 + 38440/3 = 0. What is t?
-10, -1, 62
Factor 2*z**3/9 + 26*z**2/9 - 22*z/3 - 10.
2*(z - 3)*(z + 1)*(z + 15)/9
Solve 50*k**4/11 + 10*k**3 - 222*k**2/11 - 342*k/11 - 108/11 = 0.
-3, -3/5, 2
Factor -6*j**3/11 - 12*j**2/11 + 126*j/11 - 108/11.
-6*(j - 3)*(j - 1)*(j + 6)/11
Determine p so that p**5/2 - 15*p**4/2 - 3*p**3 + 49*p**2 - 123*p/2 + 45/2 = 0.
-3, 1, 15
Factor t**2 - 73*t.
t*(t - 73)
Factor 2*b**3/7 + 22*b**2/7 + 10*b + 50/7.
2*(b + 1)*(b + 5)**2/7
Factor -48*c**2 + 140*c + 12.
-4*(c - 3)*(12*c + 1)
Suppose k**3/6 - 37*k**2/3 + 71*k/2 = 0. Calculate k.
0, 3, 71
Determine a, given that -2*a**5 + 236*a**4 - 462*a**3 - 236*a**2 + 464*a = 0.
-1, 0, 1, 2, 116
Factor 2*j**4/17 - 2*j**3/17 - 4*j**2/17.
2*j**2*(j - 2)*(j + 1)/17
Suppose -w**5/2 - 5*w**4 + 667*w**3/2 + 5216*w**2 + 9414*w + 4536 = 0. What is w?
-18, -1, 28
Factor 5*n**3/2 - 13*n**2 + 35*n/2 - 3.
(n - 3)*(n - 2)*(5*n - 1)/2
Find t such that 4*t**5 - 36*t**4 - 36*t**3 + 756*t**2 - 3888 = 0.
-3, 3, 6
Suppose 2*h**3 + 28*h**2/11 - 210*h/11 - 216/11 = 0. What is h?
-36/11, -1, 3
Factor -p**3/4 - 815*p**2/4 - 407*p/2.
-p*(p + 1)*(p + 814)/4
Find w, given that -w**2 - 966*w + 1936 = 0.
-968, 2
Determine s so that -s**4/5 + 162*s**3 + 2436*s**2/5 + 2438*s/5 + 813/5 = 0.
-1, 813
Factor 2*c**3/7 - 88*c**2/7 + 968*c/7.
2*c*(c - 22)**2/7
Determine f, given that 18*f**4 + 600*f**3 - 3142*f**2 + 1892*f - 304 = 0.
-38, 1/3, 4
Factor -l**2/3 - 4*l.
-l*(l + 12)/3
Let -n**5 - 11*n**4 - 3*n**3 + 71*n**2 + 4*n - 60 = 0. What is n?
-10, -3, -1, 1, 2
Factor -y**5 - 80*y**4 + 163*y**3 - 82*y**2.
-y**2*(y - 1)**2*(y + 82)
Determine a so that 7*a**4/4 + 3*a**3 - a**2 = 0.
-2, 0, 2/7
Suppose a**4/2 - 15*a**3/2 = 0. Calculate a.
0, 15
Determine c, given that -4*c**2 + 768*c = 0.
0, 192
Find s such that 5*s**4 - 10*s**3 - 25*s**2 + 30*s = 0.
-2, 0, 1, 3
Factor -4*y**2 + 656*y - 1932.
-4*(y - 161)*(y - 3)
Factor -3*r**2/7 + 720*r/7.
-3*r*(r - 240)/7
Factor -2*f**2 + 256*f - 504.
-2*(f - 126)*(f - 2)
Solve 3*n**2/7 + 6*n - 96/7 = 0.
-16, 2
Suppose -3*m**3/5 - 81*m**2/5 - 117*m - 507/5 = 0. Calculate m.
-13, -1
Determine b, given that -b**4/5 - 7*b**3/5 + 8*b**2/5 = 0.
-8, 0, 1
Factor -10*o**3 + 32*o**2 - 6*o.
-2*o*(o - 3)*(5*o - 1)
Solve 3*a**2/8 - 18147*a/4 + 109771203/8 = 0 for a.
6049
Find p, given that -3*p**2/5 - 12*p - 57/5 = 0.
-19, -1
Factor 3*r**2/4 + 15*r/2 - 42.
3*(r - 4)*(r + 14)/4
Find p such that 8*p**5 + 154*p**4 + 1046*p**3 + 2844*p**2 + 2376*p + 432 = 0.
-6, -1, -1/4
Let -2*i**3 + 430*i**2 - 854*i + 426 = 0. Calculate i.
1, 213
Suppose -5*z**5 - 1095*z**4 = 0. Calculate z.
-219, 0
Suppose j**5 - 44*j**3 - 144*j**2 - 128*j = 0. Calculate j.
-4, -2, 0, 8
Factor 2*x**2 + 8*x + 6.
2*(x + 1)*(x + 3)
Let -2*f**2/19 + 34*f/19 - 60/19 = 0. Calculate f.
2, 15
Determine s, given that -s**2/5 + 24*s/5 - 44/5 = 0.
2, 22
Find x, given that 4*x**2 - 68*x + 168 = 0.
3, 14
Factor 2*n**2 + 96*n - 98.
2*(n - 1)*(n + 49)
Let 4*a**2 - 2888*a + 521284 = 0. What is a?
361
Factor -f**5/3 + 34*f**4/3 - 320*f**3/3 + 512*f**2/3.
-f**2*(f - 16)**2*(f - 2)/3
Determine x so that -2*x**2 - 166*x - 324 = 0.
-81, -2
Factor -3*y**3/4 + 786*y**2.
-3*y**2*(y - 1048)/4
Factor -16*k**4 - 68*k**3 - 64*k**2 - 12*k.
-4*k*(k + 1)*(k + 3)*(4*k + 1)
Solve -2*j**2 + 32*j - 110 = 0.
5, 11
Let -2*z**4/5 + 10*z**3 - 158*z**2/5 - 42*z = 0. Calculate z.
-1, 0, 5, 21
Factor 22*d**5 - 214*d**4 + 490*d**3 + 150*d**2.
2*d**2*(d - 5)**2*(11*d + 3)
Solve -u**3/9 - 5*u**2/3 - 25*u/3 - 125/9 = 0 for u.
-5
Suppose 28*g**3 - 10172*g**2 - 7288*g + 2912 = 0. What is g?
-1, 2/7, 364
Factor 41*l**3 - 40*l**2 - l.
l*(l - 1)*(41*l + 1)
Factor -5*j**4 - 50*j**3 + 115*j**2 + 1200*j - 2880.
-5*(j - 3)**2*(j + 8)**2
Determine g, given that g**4/5 + 25*g**3 - g**2/5 - 25*g = 0.
-125, -1, 0, 1
Suppose -a**4/5 - 79*a**3/5 + 86*a**2/5 + 96*a = 0. What is a?
-80, -2, 0, 3
Factor -d**2/5 - 12*d/5 + 161.
-(d - 23)*(d + 35)/5
Determine v, given that -v**3/4 + 125*v**2/4 + 63*v/2 = 0.
-1, 0, 126
Solve -54*c**4 + 14070*c**3 + 61228*c**2/3 + 6984*c + 2096/3 = 0.
-1, -2/9, 262
Determine x so that -4*x**5 + 12*x**3 - 8*x**2 = 0.
-2, 0, 1
Factor t**5/2 - t**4/2 - 18*t**3 + 8*t**2 + 160*t.
t*(t - 5)*(t - 4)*(t + 4)**2/2
Solve -2*g**4/11 + 8*g**3/11 - 10*g**2/11 + 4*g/11 = 0 for g.
0, 1, 2
Factor -2*s**2/3 + 6*s - 28/3.
-2*(s - 7)*(s - 2)/3
Determine b, given that 2*b**5/15 - 16*b**4/5 - 106*b**3/15 + 16*b**2/5 + 104*b/15 = 0.
-2, -1, 0, 1, 26
Find d, given that d**4 - 15*d**3 + 13*d**2 