(r + 2)*(r + 4)/6
Factor -12*x**3 - 3364*x**2 + 9068*x + 3396.
-4*(x - 3)*(x + 283)*(3*x + 1)
Let -2*l**5 + 8*l**4/3 + 32*l**3/3 - 12*l**2 - 26*l/3 + 28/3 = 0. What is l?
-2, -1, 1, 7/3
Factor -5*d**3/3 - 40*d**2/3 + 55*d.
-5*d*(d - 3)*(d + 11)/3
Determine f so that 4*f**2 + 1568*f + 6208 = 0.
-388, -4
Factor 57*j**2/2 - 480*j - 153/2.
3*(j - 17)*(19*j + 3)/2
Factor -5*d**4 - 190*d**3 - 2685*d**2 - 16720*d - 38720.
-5*(d + 8)**2*(d + 11)**2
Suppose 4*d**3 + 80*d**2 - 92*d - 168 = 0. What is d?
-21, -1, 2
Suppose 180*m**4 + 40*m**3 - 135*m**2 - 75*m - 10 = 0. Calculate m.
-1/2, -2/9, 1
Factor 5*f**3 - 735*f**2 - 14445*f - 66825.
5*(f - 165)*(f + 9)**2
Find s such that 3*s**3/7 - 150*s**2/7 - 309*s/7 - 156/7 = 0.
-1, 52
Factor -p**3/10 - 483*p**2 - 1166445*p/2.
-p*(p + 2415)**2/10
Factor 5*u**2 + 430*u + 9245.
5*(u + 43)**2
Determine b so that 2*b**2/7 - 22*b/7 + 8 = 0.
4, 7
Let -2*g**5 + 2*g**4 + 22*g**3 - 58*g**2 + 52*g - 16 = 0. What is g?
-4, 1, 2
Solve -6*p**4/13 + 86*p**3/13 - 48*p**2/13 - 696*p/13 - 32 = 0 for p.
-2, -2/3, 4, 13
Determine y, given that y**3 - 10*y**2 + 9*y = 0.
0, 1, 9
Determine v, given that 100*v**4 + 920*v**3 + 2196*v**2 + 1728*v + 432 = 0.
-6, -2, -3/5
Find w such that -63*w**3 - 312*w**2 - 252*w - 48 = 0.
-4, -2/3, -2/7
Determine h so that 5*h**2 - 70*h + 225 = 0.
5, 9
Factor 3*d**5 - 48*d**4 + 276*d**3 - 672*d**2 + 576*d.
3*d*(d - 6)*(d - 4)**2*(d - 2)
Determine z so that -2*z**5 + 32*z**4 - 122*z**3 - 92*z**2 + 320*z + 256 = 0.
-1, 2, 8
Suppose -5*o**3 + 400*o**2 + 4555*o - 4950 = 0. Calculate o.
-11, 1, 90
Find r such that 2*r**4 + 8*r**3 - 22*r**2 + 12*r = 0.
-6, 0, 1
Determine h, given that -357*h**2/4 - 729*h/2 - 30 = 0.
-4, -10/119
Let -z**5 - 15*z**4 - 38*z**3 + 232*z**2 + 768*z + 512 = 0. What is z?
-8, -2, -1, 4
Solve u**4/4 + 3*u**3 - 29*u**2/4 - 3*u + 7 = 0 for u.
-14, -1, 1, 2
Factor -2*w**3 + 62*w**2 + 64*w.
-2*w*(w - 32)*(w + 1)
Factor -2*a**4/5 + 2*a**3 - 6*a**2/5 - 18*a/5.
-2*a*(a - 3)**2*(a + 1)/5
Factor 2*r**2/9 - 4*r/3 - 560/9.
2*(r - 20)*(r + 14)/9
Solve 10*n**5 - 2123*n**4 + 4845*n**3 - 3151*n**2 + 209*n + 210 = 0.
-1/5, 1/2, 1, 210
Solve -4*h**5 + 28*h**4 - 44*h**3 - 28*h**2 + 48*h = 0.
-1, 0, 1, 3, 4
Let 3*j**4 - 18*j**2 - 24*j - 9 = 0. What is j?
-1, 3
Factor 2*u**4 + 16*u**3.
2*u**3*(u + 8)
Determine x, given that -x**4/4 - 9*x**3/2 - 9*x**2/4 + 162*x - 324 = 0.
-12, 3
What is i in i**2 + 124*i + 244 = 0?
-122, -2
What is l in -5*l**4 - 5415*l**3 + 21715*l**2 - 27165*l + 10870 = 0?
-1087, 1, 2
Solve x**3/12 + 515*x**2/12 - 1033*x/12 + 517/12 = 0 for x.
-517, 1
Determine d, given that 33*d**2/4 - 171*d/4 + 15/2 = 0.
2/11, 5
Factor -m**2/6 - 70*m/3 + 143/2.
-(m - 3)*(m + 143)/6
Factor -p**4/8 - 9*p**3/8 - 11*p**2/8 + 21*p/8.
-p*(p - 1)*(p + 3)*(p + 7)/8
Solve -4*g**4/3 + 20*g**3 + 136*g**2/3 = 0.
-2, 0, 17
Find s such that s**3/4 + 6*s**2 + 65*s/4 + 21/2 = 0.
-21, -2, -1
Factor -2*a**3/9 - 62*a**2/9 - 224*a/9 - 24.
-2*(a + 2)**2*(a + 27)/9
Factor 14*y**4 - 39*y**3 - 11*y**2 + 6*y.
y*(y - 3)*(2*y + 1)*(7*y - 2)
Factor s**2 + 8018*s + 16072081.
(s + 4009)**2
Let c**4 + 2*c**3 - 3*c**2 - 4*c + 4 = 0. Calculate c.
-2, 1
Solve -4*g**2 + 156*g - 680 = 0 for g.
5, 34
Find w, given that w**5 + 108*w**4 - 3*w**3 - 326*w**2 - 216*w = 0.
-108, -1, 0, 2
Find u, given that -80*u**4 - 40*u**3 + 75*u**2 + 40*u + 5 = 0.
-1, -1/4, 1
Solve 4*d**3 - 8*d**2 = 0.
0, 2
Determine j so that 5*j**4 + 3840*j**3 + 1105920*j**2 + 141557760*j + 6794772480 = 0.
-192
Factor -c**2/6 - 95*c/6 + 412/3.
-(c - 8)*(c + 103)/6
Suppose 3*h**2/2 - 5079*h/2 = 0. What is h?
0, 1693
Solve -8575*b**5 + 22540*b**4 - 20335*b**3 + 7390*b**2 - 1060*b + 40 = 0.
2/35, 2/7, 1
Determine x, given that 2*x**5/7 + 114*x**4/7 + 1564*x**3/7 - 1796*x**2/7 - 1566*x/7 + 1682/7 = 0.
-29, -1, 1
Suppose c**4/6 - 37*c**3/6 - c**2/2 + 109*c/6 + 37/3 = 0. Calculate c.
-1, 2, 37
Factor 2*h**2/7 + 23064*h/7 + 66493512/7.
2*(h + 5766)**2/7
Factor 2*w**4 + 2*w**3 - 10*w**2 + 6*w.
2*w*(w - 1)**2*(w + 3)
Solve -432*f**3 + 504*f**2 - 75*f + 3 = 0 for f.
1/12, 1
Let 2*i**5 - 10*i**4 - 2*i**3 + 58*i**2 - 24*i - 72 = 0. What is i?
-2, -1, 2, 3
Factor -o**2 + 12*o - 20.
-(o - 10)*(o - 2)
Solve -x**5/8 - 17*x**4/8 - 69*x**3/8 - 115*x**2/8 - 43*x/4 - 3 = 0.
-12, -2, -1
Determine k so that 4*k**5 + 4*k**4/3 - 4*k**3 - 4*k**2/3 = 0.
-1, -1/3, 0, 1
Solve 103*k**3/4 - 155*k**2 + 939*k/4 - 9/2 = 0.
2/103, 3
Solve 5*l**2 + 24710*l + 30529205 = 0.
-2471
Suppose 5*u**2 + 10*u = 0. Calculate u.
-2, 0
Determine s so that s**4/4 + 8*s**3 + 123*s**2/2 - 8*s - 247/4 = 0.
-19, -13, -1, 1
Factor 3*f**3/8 - 3*f**2/4 - 9*f/8.
3*f*(f - 3)*(f + 1)/8
Suppose -8*f**4/7 + 78*f**3/7 + 114*f**2/7 - 38*f/7 - 66/7 = 0. What is f?
-1, 3/4, 11
Factor 2*v**3 - 20*v**2 + 42*v.
2*v*(v - 7)*(v - 3)
Factor -5776*m**3 + 2660*m**2 - 368*m + 16.
-4*(4*m - 1)*(19*m - 2)**2
Find q, given that -6*q**3 + 68*q**2 + 458*q - 160 = 0.
-5, 1/3, 16
Let -2*j**5 + 424*j**4/7 - 1296*j**3/7 + 212*j**2 - 706*j/7 + 108/7 = 0. Calculate j.
2/7, 1, 27
Let -10*d**5/9 - 76*d**4/9 - 148*d**3/9 - 88*d**2/9 + 14*d/9 + 20/9 = 0. Calculate d.
-5, -1, 2/5
Factor -3*w**3/5 + 69*w**2/5 - 72*w - 432/5.
-3*(w - 12)**2*(w + 1)/5
Factor -n**3/10 - 32*n**2/5 + 67*n/10 + 13.
-(n - 2)*(n + 1)*(n + 65)/10
Suppose q**3 - 87*q**2 + 1656*q + 10580 = 0. Calculate q.
-5, 46
Solve 82*p**2/5 - 136*p/5 - 56/5 = 0.
-14/41, 2
Factor -d**3/4 + 31*d**2/4 - 56*d - 64.
-(d - 16)**2*(d + 1)/4
Suppose 3*u**3/2 - 27*u**2/2 - 504*u - 2400 = 0. Calculate u.
-8, 25
Factor 348*i**2/7 - 82*i/7 + 4/7.
2*(6*i - 1)*(29*i - 2)/7
Let 3*x**5 - 1035*x**4 + 8133*x**3 - 15141*x**2 - 8136*x + 16176 = 0. What is x?
-1, 1, 4, 337
Factor 3*x**4 - 4*x**3 - x**2 + 2*x.
x*(x - 1)**2*(3*x + 2)
Determine n, given that -32*n**2/9 + 98*n/9 - 2/3 = 0.
1/16, 3
Factor -5*c**3 - 120*c**2 - 85*c + 690.
-5*(c - 2)*(c + 3)*(c + 23)
Factor i**2 - 280*i - 281.
(i - 281)*(i + 1)
Solve k**5 - k**4/3 - 20*k**3/3 + 32*k/3 + 16/3 = 0 for k.
-2, -1, -2/3, 2
Factor -3*i**2 + 60*i.
-3*i*(i - 20)
Solve -2*u**4 - 106*u**3 - 846*u**2 - 2430*u - 2376 = 0.
-44, -3
Factor -1083*c**4 + 52212*c**3 - 10956*c**2 + 576*c.
-3*c*(c - 48)*(19*c - 2)**2
Factor 4*t**2 + 364*t - 368.
4*(t - 1)*(t + 92)
Let -w**2 + 86*w + 87 = 0. What is w?
-1, 87
Suppose 35*q**5/4 + 1235*q**4/4 + 1365*q**3/4 - 5555*q**2/4 + 475*q + 255 = 0. What is q?
-34, -3, -2/7, 1
Suppose 2*m**3 + 2*m**2 - 16*m - 24 = 0. What is m?
-2, 3
Determine v, given that -14*v**3/13 + 3564*v**2/13 - 17526*v + 129032/13 = 0.
4/7, 127
Solve 2*b**4/7 - 88*b**3/7 + 88*b**2 - 1472*b/7 + 1152/7 = 0.
2, 4, 36
Determine a so that 3*a**5 - 6*a**4 - 15*a**3 + 18*a**2 = 0.
-2, 0, 1, 3
Factor 3*b**2/7 + 45*b/7 + 150/7.
3*(b + 5)*(b + 10)/7
Factor -3*g**2/4 - 33*g/4 - 15/2.
-3*(g + 1)*(g + 10)/4
Factor -f**5/10 - 233*f**4/10 + 471*f**3/5 - 709*f**2/5 + 947*f/10 - 237/10.
-(f - 1)**4*(f + 237)/10
Factor -12*k**3/5 - 22*k**2/5 + 14*k/5 + 4.
-2*(k - 1)*(k + 2)*(6*k + 5)/5
Factor 40*d**5 - 165*d**4 + 180*d**3 - 20*d**2.
5*d**2*(d - 2)**2*(8*d - 1)
What is x in x**5/6 - x**4/6 - x**3 - x**2/3 + 5*x/6 + 1/2 = 0?
-1, 1, 3
Suppose 2*a**2 - 14*a = 0. What is a?
0, 7
Factor 5*p**2 + 255*p - 530.
5*(p - 2)*(p + 53)
Factor 3*l**3 - 288*l**2 + 1845*l + 2136.
3*(l - 89)*(l - 8)*(l + 1)
Determine n, given that n**4/5 - 2*n**3 - 12*n**2/5 + 266*n/5 - 49 = 0.
-5, 1, 7
Determine f, given that 5*f**2 + 980*f + 1940 = 0.
-194, -2
Determine z so that 5*z**4 - 810*z**3 - 3415*z**2 + 15840*z - 11620 = 0.
-7, 1, 2, 166
Find w such that -w**5/2 - w**4 + 7*w**3/2 + 4*w**2 - 6*w = 0.
-3, -2, 0, 1, 2
Determine q, given that -3*q**3/5 + 252*q**2/5 + 1047*q/5 + 792/5 = 0.
-3, -1, 88
What is s in s**2 - 16*s - 3536 = 0?
-52, 68
Factor 3*a**3 + 43*a**2 - 31*a - 15.
(a - 1)*(a + 15)*(3*a + 1)
Factor 675*v**3 - 3870*v**2 - 1068*v - 72.
3*(v - 6)*(15*v + 2)**2
Find m such that 18297845*m**2/3 + 19130*m/3 + 5/3 = 0.
-1/1913
Factor j**2/2 - 217*j/2 - 109.
(j - 218)*(j + 1)/2
Let 2*z**4/3 - 230*z**3/3 - 2*z**2/3 + 230*z/3 = 0. What is z?
-1, 0, 1, 115
Solve -a**2/3 + a + 10/3 = 0 for a.
-2, 5
Factor o**2/4 - 7*o/2 - 51/4.
(o - 17)*(o + 3)/4
Solve -3*w**4/2 + 29*w**3/6 + 8*w**2 - 14*w + 8/3 = 0.
-2, 2/9, 1, 4
What is r in 2*r**5/3 + 4*r**4 - 16*r**3/3 - 4*r**2 + 14*r/3 = 0?
-7, -1, 0, 1
Factor 2*f**4 