0, 1/4, 4
Factor -2*i**2 - 38*i + 184.
-2*(i - 4)*(i + 23)
What is y in -25*y**4/4 + 115*y**3/4 - 25*y**2/2 - 10*y = 0?
-2/5, 0, 1, 4
Solve -2*i**4/3 - 14*i**3/3 + 62*i**2/3 + 14*i/3 - 20 = 0 for i.
-10, -1, 1, 3
Factor 3*y**5 + 2046*y**4 + 10182*y**3 + 18300*y**2 + 14223*y + 4062.
3*(y + 1)**3*(y + 2)*(y + 677)
Factor -4*q**4 + 180*q**3 + 764*q**2 + 972*q + 392.
-4*(q - 49)*(q + 1)**2*(q + 2)
Factor -289*h**2 + 102*h - 9.
-(17*h - 3)**2
Suppose 2*b**4/7 + 6*b**3 + 146*b**2/7 + 174*b/7 + 68/7 = 0. Calculate b.
-17, -2, -1
Factor 5*k**4 + 215*k**3 + 2965*k**2 + 12025*k - 15210.
5*(k - 1)*(k + 13)**2*(k + 18)
Determine n, given that n**2/4 + 83*n/2 + 6889/4 = 0.
-83
Factor -s**4/5 - s**3/5 + 21*s**2/5 + 41*s/5 + 4.
-(s - 5)*(s + 1)**2*(s + 4)/5
Factor -2*h**3/13 + 80*h**2/13 - 8*h - 1248.
-2*(h - 26)**2*(h + 12)/13
Find k, given that -4*k**5 + 168*k**4 + 532*k**3 + 360*k**2 = 0.
-2, -1, 0, 45
What is c in -5*c**4 - 670*c**3 - 22445*c**2 = 0?
-67, 0
Suppose 2*c**3/9 - 20*c**2/9 + 34*c/9 + 56/9 = 0. What is c?
-1, 4, 7
Suppose -4*x**2 - 700*x - 696 = 0. What is x?
-174, -1
Factor -v**3/3 + 16*v**2/3 + v/3 - 16/3.
-(v - 16)*(v - 1)*(v + 1)/3
Find a such that a**3 + 22*a**2 + 76*a + 72 = 0.
-18, -2
Factor 111*v**2 + 105*v - 6.
3*(v + 1)*(37*v - 2)
Factor -5*z**2 + 105*z + 810.
-5*(z - 27)*(z + 6)
Let -i**4/12 + i**3/4 + 2*i**2 + 7*i/3 = 0. What is i?
-2, 0, 7
Determine x, given that 4*x**2 + 6680*x - 6684 = 0.
-1671, 1
Solve 5*a**5 - 10*a**4 - 55*a**3 + 60*a**2 + 180*a = 0 for a.
-2, 0, 3
Factor 55*p**4 - 10*p**3 - 495*p**2 + 90*p.
5*p*(p - 3)*(p + 3)*(11*p - 2)
Solve k**2/7 + 46*k/7 - 47/7 = 0.
-47, 1
Find i, given that i**3/3 + 86*i**2/3 + 635*i + 4200 = 0.
-56, -15
Factor 5*g**2 + 315*g + 610.
5*(g + 2)*(g + 61)
Factor 2*j**5 + 28*j**4 + 98*j**3 + 72*j**2.
2*j**2*(j + 1)*(j + 4)*(j + 9)
Find q, given that q**2/4 + 2*q - 21 = 0.
-14, 6
Solve x**4 + 4*x**3 - 2*x**2 - 12*x + 9 = 0 for x.
-3, 1
Determine u so that -4*u**4 - 36*u**3 - 100*u**2 - 108*u - 40 = 0.
-5, -2, -1
Determine c, given that -4*c**3/5 + 36*c**2/5 - 8*c/5 - 192/5 = 0.
-2, 3, 8
Suppose -4*n**5 + 68*n**4 + 156*n**3 - 68*n**2 - 152*n = 0. What is n?
-2, -1, 0, 1, 19
Factor 21*k**2 + 2736*k + 780.
3*(k + 130)*(7*k + 2)
Suppose -2*u**4/7 - 134*u**3/7 - 258*u**2/7 + 134*u/7 + 260/7 = 0. What is u?
-65, -2, -1, 1
Factor 18*m**3 + 1918*m**2 - 7696*m/9 + 856/9.
2*(m + 107)*(9*m - 2)**2/9
Factor -8*y**4/9 - 14*y**3/9 - 4*y**2/9 + 2*y/9.
-2*y*(y + 1)**2*(4*y - 1)/9
Determine h so that -5*h**5 + 95*h**4 - 615*h**3 + 1505*h**2 - 980*h = 0.
0, 1, 4, 7
Factor 2*o**2 + 2*o - 60.
2*(o - 5)*(o + 6)
Factor -4*s**4 - 44*s**3 - 132*s**2 - 20*s + 200.
-4*(s - 1)*(s + 2)*(s + 5)**2
Factor -2*g**3/9 + 710*g**2/9 - 64064*g/9 + 61952/3.
-2*(g - 176)**2*(g - 3)/9
Determine p, given that -4*p**5 - 36*p**4 - 32*p**3 = 0.
-8, -1, 0
Let 4*v**4 - 4*v**3 - 28*v**2 + 4*v + 24 = 0. Calculate v.
-2, -1, 1, 3
What is c in -2*c**4 - 206*c**3 - 5346*c**2 - 53482*c - 186340 = 0?
-70, -11
Factor -l**2/3 - 3*l - 8/3.
-(l + 1)*(l + 8)/3
Factor 2*w**2/9 - 28*w + 882.
2*(w - 63)**2/9
Factor 4*m**3 - 56*m**2 - 244*m + 680.
4*(m - 17)*(m - 2)*(m + 5)
Factor -3*k**4/2 + 12*k**3 + 192*k**2.
-3*k**2*(k - 16)*(k + 8)/2
Solve -209764*d**2/3 + 3664*d/3 - 16/3 = 0 for d.
2/229
Solve 98*b**4/5 - 56*b**3 + 284*b**2/5 - 24*b + 18/5 = 0.
3/7, 1
Factor -n**2/4 + n/4 + 1/2.
-(n - 2)*(n + 1)/4
Factor -2*j**4 - 50*j**3 - 286*j**2 + 338*j.
-2*j*(j - 1)*(j + 13)**2
Solve 2*q**2/3 + 130*q/3 - 44 = 0.
-66, 1
Suppose 5*c**4 - 220*c**3 - 940*c**2 - 960*c = 0. Calculate c.
-2, 0, 48
Factor 2*q**5/13 - 24*q**4/13 + 108*q**3/13 - 216*q**2/13 + 162*q/13.
2*q*(q - 3)**4/13
Factor -y**4/3 + 13*y**2/3 + 4*y.
-y*(y - 4)*(y + 1)*(y + 3)/3
Find p, given that -20*p**3 + 49404*p**2 - 30514380*p + 6100900 = 0.
1/5, 1235
Solve -i**3/4 + 899*i**2/4 + 676*i + 451 = 0.
-2, -1, 902
Factor 5*g**2 - 92*g + 36.
(g - 18)*(5*g - 2)
Suppose 2*q**2/7 + 270*q/7 + 76 = 0. Calculate q.
-133, -2
Factor 2*s**4/13 + 56*s**3/13 + 444*s**2/13 + 56*s + 26.
2*(s + 1)**2*(s + 13)**2/13
Suppose -2*o**3/7 - 4*o**2/7 + 64*o/7 + 192/7 = 0. What is o?
-4, 6
Determine n so that -4*n**3 - 28*n**2 + 32*n = 0.
-8, 0, 1
Solve r**2/3 + 8*r/3 + 4 = 0 for r.
-6, -2
Solve -4*v**3 + 204*v**2 - 2600*v + 2400 = 0.
1, 20, 30
What is p in p**5/3 + 2*p**4 + 7*p**3/3 - 2*p**2 - 8*p/3 = 0?
-4, -2, -1, 0, 1
Find y such that -28*y**3/9 + 40*y**2/3 + 36*y + 176/9 = 0.
-1, 44/7
Factor 8*g**2 - 344*g + 3698.
2*(2*g - 43)**2
Factor -3*z**2/2 + 966*z - 155526.
-3*(z - 322)**2/2
Solve -v**2/9 + 10*v/9 - 8/3 = 0 for v.
4, 6
Suppose -2*y**4/7 + 10*y**3/7 + 92*y**2/7 - 256*y/7 - 192 = 0. What is y?
-4, 6, 7
Factor 2*b**3 + 238*b**2 + 470*b + 234.
2*(b + 1)**2*(b + 117)
Find x, given that -2*x**4/3 + 22*x**3/3 - 16*x**2 - 24*x = 0.
-1, 0, 6
Let -3*f**5/5 + 402*f**4/5 - 3447*f**3/5 + 9048*f**2/5 - 1200*f = 0. Calculate f.
0, 1, 4, 125
Let -5*z**5/3 + 155*z**4/3 - 1775*z**3/3 + 3015*z**2 - 6480*z + 4860 = 0. What is z?
2, 9
What is k in 4*k**2 + 96*k = 0?
-24, 0
Suppose 2*u**2/3 - 176*u/3 + 3872/3 = 0. Calculate u.
44
Factor -r**3/2 + 50*r**2 - 97*r/2 - 99.
-(r - 99)*(r - 2)*(r + 1)/2
Determine f so that 3*f**4 + 3*f**3 - 114*f**2 - 108*f + 216 = 0.
-6, -2, 1, 6
Solve -5*j**5/2 + 20*j**4 - 115*j**3/2 + 70*j**2 - 30*j = 0 for j.
0, 1, 2, 3
What is q in -q**2/9 - 32*q/9 + 11/3 = 0?
-33, 1
Find a such that -75*a**5/2 - 165*a**4/2 + 243*a**3/2 + 129*a**2/2 - 84*a + 18 = 0.
-3, -1, 2/5, 1
Factor -10*l**4 + 16*l**3 + 8*l**2.
-2*l**2*(l - 2)*(5*l + 2)
Find o, given that o**5/4 - o**4/2 + o**2/2 - o/4 = 0.
-1, 0, 1
Factor -4*z**2/5 + 36*z/5 + 144/5.
-4*(z - 12)*(z + 3)/5
Solve c**4 - 9*c**3 + 7*c**2 + 9*c - 8 = 0 for c.
-1, 1, 8
Factor -2*s**3/19 - 4*s**2/19 + 102*s/19 - 216/19.
-2*(s - 4)*(s - 3)*(s + 9)/19
Let -4*m**4 - 88*m**3 - 340*m**2 = 0. Calculate m.
-17, -5, 0
Find j such that 2*j**4/23 - 148*j**3/23 - 456*j**2/23 - 20*j - 154/23 = 0.
-1, 77
Find g, given that g**4/8 + 9*g**3/8 - 33*g**2/8 + 35*g/8 - 3/2 = 0.
-12, 1
Suppose -59*l**4/2 + 766*l**3 + 26*l**2 = 0. Calculate l.
-2/59, 0, 26
Suppose 2*s**5/11 + 16*s**4/11 + 48*s**3/11 + 64*s**2/11 + 32*s/11 = 0. What is s?
-2, 0
Factor 2*n**3 - 112*n**2 + 218*n - 108.
2*(n - 54)*(n - 1)**2
Let 2*x**4/3 - 2*x**3/3 - 2*x**2 + 2*x/3 + 4/3 = 0. What is x?
-1, 1, 2
Find o such that 9*o**5 - 4344*o**4 - 5805*o**3 - 1452*o**2 = 0.
-1, -1/3, 0, 484
Factor -j**2/5 + 3*j + 286/5.
-(j - 26)*(j + 11)/5
Determine r so that 2*r**2/19 + 176*r/19 = 0.
-88, 0
Factor 3*u**2/7 + 6*u + 21.
3*(u + 7)**2/7
Factor -r**4/2 + 6*r**3 + 6*r**2 - 64*r - 96.
-(r - 12)*(r - 4)*(r + 2)**2/2
Factor -3*i**2 + 138*i - 1587.
-3*(i - 23)**2
Suppose -q**2/7 + 142*q/7 - 5041/7 = 0. What is q?
71
Factor -2*x**2/7 + 418*x/7 - 416/7.
-2*(x - 208)*(x - 1)/7
Factor 2*b**5 - 2*b**4 - 72*b**3 + 72*b**2.
2*b**2*(b - 6)*(b - 1)*(b + 6)
Find d such that 3*d**4/5 + 39*d**3/5 + 123*d**2/5 + 141*d/5 + 54/5 = 0.
-9, -2, -1
Let 30*j**3/7 - 12*j**2/7 - 78*j/7 - 36/7 = 0. Calculate j.
-1, -3/5, 2
Suppose -t**3/9 - 121*t**2/9 - 472*t/9 - 52 = 0. Calculate t.
-117, -2
Factor 2*k**3/13 + 8718*k**2/13 - 17442*k/13 + 8722/13.
2*(k - 1)**2*(k + 4361)/13
Determine d so that -2*d**2 + 454*d + 5736 = 0.
-12, 239
Let 5*d**2 - 180 = 0. What is d?
-6, 6
Solve 4*t**5 + 12*t**4 - 16*t**2 = 0 for t.
-2, 0, 1
Factor 5*k**3 + 10*k**2 - 15*k.
5*k*(k - 1)*(k + 3)
Find p, given that -3*p**3 - 213*p**2 + 915*p + 1125 = 0.
-75, -1, 5
Find p such that -4*p**3 - 16*p**2 + 64*p + 256 = 0.
-4, 4
Solve 15*n**4 - 111*n**3 + 207*n**2 - 141*n + 30 = 0 for n.
2/5, 1, 5
Factor 5*s**5 + 70*s**4 - 115*s**3 - 4040*s**2 - 1600*s + 64000.
5*(s - 5)**2*(s + 8)**3
Solve b**4/8 + 2*b**3 + 63*b**2/8 - 2*b - 8 = 0 for b.
-8, -1, 1
Find t such that -5*t**4 - 35*t**3 + 45*t**2 + 35*t - 40 = 0.
-8, -1, 1
Factor -2*i**3/9 - 4*i**2/3 - 16*i/9.
-2*i*(i + 2)*(i + 4)/9
Factor 3*d**2 + 642*d + 1272.
3*(d + 2)*(d + 212)
Determine f, given that -2*f**5/5 - 6*f**4/5 - 2*f**3/5 + 6*f**2/5 + 4*f/5 = 0.
-2, -1, 0, 1
Determine y so that 17*y**3/6 - 47*y**2/6 + 11*y/3 + 4/3 = 0.
-4/17, 1, 2
Determine k, given that -10*k**3/9 + 8*k**2/3 + 46*k/9 - 28/3 = 0.
-2, 7/5, 3
Factor -2*j**3 + 146*j**2 - 140*j - 288.
-2*(j - 72)*(j - 2)*(j + 1)
Suppose v**3 + 138*v**2/5 + 79*v/5 - 54/5 = 0.