that j**3/7 + 115*j**2/7 + 114*j/7 = 0.
-114, -1, 0
Factor 23*g**2/4 + 11*g - 1.
(g + 2)*(23*g - 2)/4
Factor -3*m**4 - 48*m**3 - 153*m**2 - 108*m.
-3*m*(m + 1)*(m + 3)*(m + 12)
Factor l**2 + 42*l + 41.
(l + 1)*(l + 41)
Find b such that -2*b**5/7 + 118*b**4 - 84036*b**3/7 - 257920*b**2/7 - 173056*b/7 = 0.
-2, -1, 0, 208
Find x such that -18*x**2 - 237*x + 255 = 0.
-85/6, 1
Determine b so that b**2 + 2132*b + 1136356 = 0.
-1066
Factor 4*n**2 + 112*n - 116.
4*(n - 1)*(n + 29)
Determine q, given that -14*q**2/3 + 20*q/9 = 0.
0, 10/21
Factor -q**4/2 + q**3/2 + 7*q**2/2 - 13*q/2 + 3.
-(q - 2)*(q - 1)**2*(q + 3)/2
Let 4*u**2 + 60*u = 0. What is u?
-15, 0
Suppose 2*a**3/7 + 66*a**2/7 + 288*a/7 + 32 = 0. What is a?
-28, -4, -1
Factor 2*f**4 - 4*f**3.
2*f**3*(f - 2)
Factor -4*z**3 + 52*z**2 + 36*z - 468.
-4*(z - 13)*(z - 3)*(z + 3)
Factor 12*n**3 - 28*n**2 + 20*n - 4.
4*(n - 1)**2*(3*n - 1)
Factor -2*v**3/9 + 28*v**2/9 - 22*v/9 - 52/9.
-2*(v - 13)*(v - 2)*(v + 1)/9
Factor 2*o**4/7 - 76*o**3/7 + 74*o**2/7.
2*o**2*(o - 37)*(o - 1)/7
Factor -2*a**2/3 + 436*a/9 + 350/3.
-2*(a - 75)*(3*a + 7)/9
Solve 2*q**4/9 - 124*q**3/9 + 194*q**2/3 - 76*q = 0.
0, 2, 3, 57
Solve -21*z**3 + 108*z**2 - 96*z = 0.
0, 8/7, 4
Suppose 2*l**3 - 7444*l**2 + 6934080*l - 13838400 = 0. Calculate l.
2, 1860
Suppose -2*s**5/5 - 4*s**4/5 + 2*s**3/5 + 4*s**2/5 = 0. What is s?
-2, -1, 0, 1
Factor y**2 + 878*y + 192721.
(y + 439)**2
Let 8*x**2 + 74*x + 116 = 0. What is x?
-29/4, -2
Suppose -3*q**3/2 + 21*q**2/2 + 27*q = 0. Calculate q.
-2, 0, 9
What is t in -3*t**5/4 + 3*t**4 + 9*t**3/2 - 12*t**2 - 87*t/4 - 9 = 0?
-1, 3, 4
Solve -2*p**3/7 - 16*p**2/7 - 10*p/7 + 100/7 = 0.
-5, 2
Suppose 3*l**4 - 12*l**3 + 9*l**2 + 12*l - 12 = 0. What is l?
-1, 1, 2
Let -2*y**3 + 92*y**2/9 - 22*y/3 - 16 = 0. Calculate y.
-8/9, 3
Factor -3*l**2 - 117*l - 114.
-3*(l + 1)*(l + 38)
Factor 4*a**4 - 8*a**3 - 108*a**2 - 208*a - 112.
4*(a - 7)*(a + 1)*(a + 2)**2
Determine s, given that s**4/2 + 8*s**3 + 12*s**2 - 160*s + 200 = 0.
-10, 2
Factor s**2/4 - 11*s/4 - 155.
(s - 31)*(s + 20)/4
Let 30*r**3 - 3477*r**2 - 348*r = 0. Calculate r.
-1/10, 0, 116
Factor -4*l**3/7 + 524*l**2/7 + 1060*l/7 + 76.
-4*(l - 133)*(l + 1)**2/7
Solve c**4/2 + 15*c**3/2 + 27*c**2/2 + 13*c/2 = 0.
-13, -1, 0
Suppose -3*q**4 - 30*q**3 + 1872*q**2 + 37518*q + 191139 = 0. What is q?
-13, 29
Suppose -60*h**5 + 489*h**4 - 486*h**3 + 15*h**2 + 42*h = 0. Calculate h.
-1/4, 0, 2/5, 1, 7
Suppose -33*r**4 + 138*r**3 + 108*r**2 - 552*r + 96 = 0. Calculate r.
-2, 2/11, 2, 4
Find l such that l**3 - 16*l**2 - 17*l = 0.
-1, 0, 17
Determine k so that -4*k**5/3 - 28*k**4/3 - 16*k**3/3 + 16*k**2 = 0.
-6, -2, 0, 1
Factor -5*n**3 - 55*n**2 - 120*n.
-5*n*(n + 3)*(n + 8)
Find x such that x**5/6 + 169*x**4/3 + 14780*x**3/3 + 84664*x**2/3 + 166664*x/3 + 110224/3 = 0.
-166, -2
Solve 9*f**3 + 4431*f**2 + 5896*f + 1964 = 0.
-491, -2/3
Factor 3*a**2 + 30*a + 48.
3*(a + 2)*(a + 8)
Factor -55*x**2 + 1000*x - 180.
-5*(x - 18)*(11*x - 2)
Factor -675*l**5 - 495*l**4 + 168*l**3 - 12*l**2.
-3*l**2*(l + 1)*(15*l - 2)**2
Determine o, given that -o**4/4 - 3*o**3/4 + 40*o**2 - 183*o + 144 = 0.
-16, 1, 6
Factor -3*s**2 + 471*s + 1440.
-3*(s - 160)*(s + 3)
Factor 2*f**3 - 10*f**2 - 92*f - 80.
2*(f - 10)*(f + 1)*(f + 4)
Factor 9*a**3/4 + 3*a**2/2 - 81*a/4 - 27/2.
3*(a - 3)*(a + 3)*(3*a + 2)/4
Determine l, given that -42*l**4 - 145*l**3 - 178*l**2 - 89*l - 14 = 0.
-7/6, -1, -2/7
Factor -2*s**2 + 184*s.
-2*s*(s - 92)
Factor -10*a**2 + 465*a - 230.
-5*(a - 46)*(2*a - 1)
What is c in -2*c**2 + 1718*c - 6840 = 0?
4, 855
Factor -d**3 - 155*d**2.
-d**2*(d + 155)
Solve -4*c**4/3 - 8*c**3 - 12*c**2 - 16*c/3 = 0 for c.
-4, -1, 0
Factor -4*k**2 + 56*k + 588.
-4*(k - 21)*(k + 7)
Factor -2*s**3/21 + 4*s**2 - 82*s/21.
-2*s*(s - 41)*(s - 1)/21
Factor -2*u**3 + 11138*u**2 - 15501310*u - 15512450.
-2*(u - 2785)**2*(u + 1)
Factor -z**5 - 4*z**4 + 5*z**3 + 36*z**2 + 36*z.
-z*(z - 3)*(z + 2)**2*(z + 3)
Suppose 3*g**2/4 - 15*g - 72 = 0. Calculate g.
-4, 24
Find j, given that 3*j**2 - 21*j + 36 = 0.
3, 4
Let 2*r**4/13 + 24*r**3/13 - 118*r**2/13 + 12*r - 64/13 = 0. Calculate r.
-16, 1, 2
Suppose 5*m**4 - 20*m**2 = 0. Calculate m.
-2, 0, 2
Factor 2*m**4/9 - 22*m**2/9 - 4*m - 16/9.
2*(m - 4)*(m + 1)**2*(m + 2)/9
Factor -3*q**2 - 38436*q - 123110508.
-3*(q + 6406)**2
Factor -3*d**3/2 + 6*d**2 + 6*d - 24.
-3*(d - 4)*(d - 2)*(d + 2)/2
Solve -5*a**4/4 + 225*a**3/4 - 55*a**2 = 0 for a.
0, 1, 44
Let -72*b**2/11 - 168*b/11 - 98/11 = 0. Calculate b.
-7/6
Factor -7*g**3 - 4944*g**2 - 1412*g.
-g*(g + 706)*(7*g + 2)
Factor -m**3/6 + 5*m**2 - 29*m/6.
-m*(m - 29)*(m - 1)/6
Find t, given that 8*t**5/9 + 14*t**4/9 - 316*t**3/9 - 1106*t**2/9 - 824*t/9 + 280/9 = 0.
-5, -2, 1/4, 7
Factor l**5 + 5*l**4 + 8*l**3 + 4*l**2.
l**2*(l + 1)*(l + 2)**2
Determine t, given that -5*t**4 + 25*t**3 + 1125*t**2 + 6875*t + 12500 = 0.
-5, 20
Factor i**4 + 5*i**3 + 6*i**2 - 4*i - 8.
(i - 1)*(i + 2)**3
Factor 4*b**2 - 40*b + 100.
4*(b - 5)**2
Determine c so that -2*c**4/7 + 18*c**3/7 - 36*c**2/7 - 8*c/7 + 48/7 = 0.
-1, 2, 6
Factor -4*s**4 + 104*s**3 - 284*s**2 + 184*s.
-4*s*(s - 23)*(s - 2)*(s - 1)
Factor -3*j**3 + 21318*j**2 - 37871427*j.
-3*j*(j - 3553)**2
What is s in -1946*s**4 + 1942*s**3 + 1950*s**2 - 1942*s - 4 = 0?
-1, -2/973, 1
Factor 2*c**2/5 + 196*c/5 + 4802/5.
2*(c + 49)**2/5
Find a, given that 8*a**5 - 54*a**4 - 470*a**3 + 3526*a**2 - 2226*a - 784 = 0.
-8, -1/4, 1, 7
Factor p**5/2 + p**4 - 3*p**3/2 - 4*p**2 - 2*p.
p*(p - 2)*(p + 1)**2*(p + 2)/2
Factor 45*n**3 + 5860*n**2 + 191425*n + 42250.
5*(n + 65)**2*(9*n + 2)
Let -2*x**4 - 102*x**3 + 796*x**2 - 960*x - 1856 = 0. Calculate x.
-58, -1, 4
Factor 3*q**3 + 18*q**2 - 72*q - 192.
3*(q - 4)*(q + 2)*(q + 8)
Let -u**2 - 10*u + 144 = 0. Calculate u.
-18, 8
Determine s, given that -s**3 - 23*s**2 + 4*s + 92 = 0.
-23, -2, 2
Factor 2*m**3 + 15396*m**2 + 39506136*m + 33790914992.
2*(m + 2566)**3
Factor -l**3 - 13*l**2 - 19*l + 33.
-(l - 1)*(l + 3)*(l + 11)
Factor -3*p**2 + 1206*p + 1209.
-3*(p - 403)*(p + 1)
Factor 2*z**3/13 - 10*z**2/13 + 8*z/13.
2*z*(z - 4)*(z - 1)/13
Determine v, given that 2*v**3 + 54*v**2 + 48*v - 104 = 0.
-26, -2, 1
Factor -2*p**4/9 + 10*p**3/9 + 26*p**2/9 + 14*p/9.
-2*p*(p - 7)*(p + 1)**2/9
Factor -3*g**4/5 + 132*g**3/5 - 2178*g**2/5 + 15972*g/5 - 43923/5.
-3*(g - 11)**4/5
Solve -c**4/10 + 131*c**3/10 - 395*c**2 - 11152*c/5 - 13872/5 = 0 for c.
-3, -2, 68
Factor -2*r**3/9 - 12*r**2 - 406*r/3 - 3920/9.
-2*(r + 7)**2*(r + 40)/9
Suppose -4*y**2 - 80*y = 0. Calculate y.
-20, 0
Let -2*s**5/13 + 114*s**4/13 + 524*s**3/13 - 172*s**2 + 2454*s/13 - 854/13 = 0. Calculate s.
-7, 1, 61
Factor -490*l**3/9 + 42*l**2 - 32*l/3 + 8/9.
-2*(5*l - 1)*(7*l - 2)**2/9
Factor 4*c**2 + 976*c.
4*c*(c + 244)
Solve -11*k**3 - 8*k**2 + 3*k = 0.
-1, 0, 3/11
Factor 5*x**3 + 170*x**2 - 185*x - 350.
5*(x - 2)*(x + 1)*(x + 35)
Determine u, given that -15*u**5/4 + 57*u**4/2 + 99*u**3/2 - 15*u**2 - 183*u/4 - 27/2 = 0.
-1, -2/5, 1, 9
Factor 2*t**3 + 36*t**2 + 64*t.
2*t*(t + 2)*(t + 16)
Determine a, given that a**4 + 2*a**3 = 0.
-2, 0
Determine f, given that -2*f**5 - 20*f**4 + 8*f**3 + 308*f**2 - 294*f = 0.
-7, 0, 1, 3
Factor 3*z**3 + 12*z**2 + 12*z.
3*z*(z + 2)**2
Suppose 5*u**3/2 + 5*u**2 - 35*u/2 + 10 = 0. Calculate u.
-4, 1
Determine w so that -5*w**2 + 65*w - 110 = 0.
2, 11
Suppose -21*n**4 - 27*n**3 + 183*n**2 + 243*n + 54 = 0. What is n?
-3, -1, -2/7, 3
Factor 4*f**4 + 432*f**3 + 11220*f**2 - 24200*f.
4*f*(f - 2)*(f + 55)**2
Factor 2*t**5/5 + 16*t**4/5 + 48*t**3/5 + 68*t**2/5 + 46*t/5 + 12/5.
2*(t + 1)**3*(t + 2)*(t + 3)/5
Let -2*j**2 + 20*j/13 + 144/13 = 0. Calculate j.
-2, 36/13
What is p in p**4/4 + 4*p**3 + 5*p**2/2 - 18*p + 45/4 = 0?
-15, -3, 1
Determine z, given that 2*z**4 + 3988*z**3 + 3984*z**2 - 3988*z - 3986 = 0.
-1993, -1, 1
Factor -84*k**2/5 + 38*k/5 - 4/5.
-2*(6*k - 1)*(7*k - 2)/5
Find k, given that -2*k**3/5 - 136*k**2/5 - 2442*k/5 - 4356/5 = 0.
-33, -2
Let 2*z**3/3 + 3038*z**2/3 + 1158224*z/3 + 1149128 = 0. What is z?
-758, -3
Solve -4*b**2 + 5602*b + 8412 = 0.
-3/2, 1402
Determine x, given that -15*x**2 - 4460*x + 2980 = 0.
-298, 2/3
Factor -3*g**4 + 3*g**3 + 90*g**2 - 216*g.
-3*g*(g - 4)*(g - 3)*(g + 6)
Factor 2*o**3 + 180*o**2 + 354*o + 176.
2*(o + 1)**2*(o + 88)
Factor v**3/