5 - 24*m**4 + 36*m**3 = 0.
0, 3
Solve 5*l**3/4 + 43*l**2/2 + 377*l/4 + 18 = 0 for l.
-9, -8, -1/5
Suppose -5*v**3 + 370*v**2 - 1065*v = 0. What is v?
0, 3, 71
Factor -5*m**3 + 110*m**2 + 5*m - 110.
-5*(m - 22)*(m - 1)*(m + 1)
Factor -g**2 - 1296*g + 1297.
-(g - 1)*(g + 1297)
Factor 4*r**5 + 28*r**4 - 248*r**3 - 360*r**2 + 4212*r - 5940.
4*(r - 3)**3*(r + 5)*(r + 11)
Factor 3*l**3 + 160*l**2 - 273*l + 110.
(l - 1)*(l + 55)*(3*l - 2)
Find s such that 3*s**2 - 33*s - 240 = 0.
-5, 16
Determine t, given that 4*t**4 + 56*t**3 + 96*t**2 = 0.
-12, -2, 0
Factor -4*q**2/3 + 560*q/9 + 188/9.
-4*(q - 47)*(3*q + 1)/9
Factor 3*h**4 + 69*h**3 - 357*h**2 - 909*h - 486.
3*(h - 6)*(h + 1)**2*(h + 27)
Factor -3*u**2/8 + 4149*u/4 + 8301/8.
-3*(u - 2767)*(u + 1)/8
Suppose -v**5/5 - 6*v**4/5 + 123*v**3/5 + 136*v**2/5 - 252*v/5 = 0. Calculate v.
-14, -2, 0, 1, 9
Determine a, given that -4*a**2 - 9460*a + 9464 = 0.
-2366, 1
Factor 4*g**4/5 + 8*g**3/5 - 52*g**2/5 + 8*g.
4*g*(g - 2)*(g - 1)*(g + 5)/5
Factor 18*p**3 - 26*p**2 - 2*p + 10.
2*(p - 1)**2*(9*p + 5)
Determine u, given that -4*u**3/3 + 4*u - 8/3 = 0.
-2, 1
What is d in 2*d**5 - 20*d**4 + 30*d**3 + 20*d**2 - 32*d = 0?
-1, 0, 1, 2, 8
Factor -2*y**2/9 - 212*y/9 - 1010/9.
-2*(y + 5)*(y + 101)/9
Find x, given that 100*x**4 - 3880*x**3 - 44944*x**2 + 37792*x - 7680 = 0.
-10, 2/5, 48
Let 324*d**5 + 612*d**4/7 - 1256*d**3/7 + 368*d**2/7 - 32*d/7 = 0. What is d?
-1, 0, 2/9, 2/7
Suppose 2*n**2 - 52*n + 96 = 0. Calculate n.
2, 24
Find z, given that -2*z**2 - 7368*z - 6785928 = 0.
-1842
Factor -2*s**3 - 54*s**2 + 308*s - 384.
-2*(s - 3)*(s - 2)*(s + 32)
Let 2*k**3 + 73*k**2 + 103*k - 70 = 0. What is k?
-35, -2, 1/2
Suppose 45*z**2/4 + 51*z/4 + 3/2 = 0. What is z?
-1, -2/15
Suppose -3*v**5/4 - 21*v**4/4 - 33*v**3/4 + 57*v**2/4 + 45*v + 27 = 0. What is v?
-3, -2, -1, 2
Find j, given that -j**3/10 + 9*j**2/10 + 81*j/10 + 27/2 = 0.
-3, 15
Suppose 3*y**4 - 15*y**3 - 69*y**2 + 135*y + 378 = 0. Calculate y.
-3, -2, 3, 7
Determine x so that x**2/5 + 28*x/5 + 196/5 = 0.
-14
Solve 603*c**2/4 + 303*c/2 + 3/4 = 0.
-1, -1/201
Suppose -4*z**4 - 32*z**3 + 12*z**2 + 88*z - 64 = 0. What is z?
-8, -2, 1
Factor -a**3/3 + 2428*a**2 - 5895184*a + 14313506752/3.
-(a - 2428)**3/3
Factor 2*w**4/7 - 16*w**3/7 - 16*w**2/7 + 192*w/7 + 288/7.
2*(w - 6)**2*(w + 2)**2/7
Determine r, given that 27*r**4 - 79*r**3 - 6*r**2 + 108*r + 8 = 0.
-1, -2/27, 2
Let -3*q**4 + 501*q**3 - 19620*q**2 - 108876*q - 88752 = 0. What is q?
-4, -1, 86
Factor 5*s**5 + 83*s**4/4 + 33*s**3 + 49*s**2/2 + 8*s + 3/4.
(s + 1)**4*(20*s + 3)/4
Find o such that -7*o**3/4 - 25*o**2 - 49*o - 12 = 0.
-12, -2, -2/7
Find b such that -2*b**4 - 12*b**3 + 24*b**2 + 140*b - 150 = 0.
-5, 1, 3
Factor 3*u**3 + 60*u**2 - 63*u.
3*u*(u - 1)*(u + 21)
Factor -3*p**3 + 1986*p**2/5 - 792*p/5.
-3*p*(p - 132)*(5*p - 2)/5
Factor 3*k**5 - 57*k**4 + 378*k**3 - 972*k**2 + 648*k.
3*k*(k - 6)**3*(k - 1)
What is w in -94*w**2 - 368*w + 32 = 0?
-4, 4/47
Factor -4*f**2 - 9320*f - 5428900.
-4*(f + 1165)**2
Factor 2*h**4/3 + 6*h**3 + 14*h**2 + 38*h/3 + 4.
2*(h + 1)**3*(h + 6)/3
Suppose 2*n**3/5 + 4*n**2/5 - 2*n - 12/5 = 0. Calculate n.
-3, -1, 2
Determine f so that 3*f**3 - 12*f**2 + 15*f - 6 = 0.
1, 2
Factor -n**2 - 19*n - 34.
-(n + 2)*(n + 17)
Suppose 42*r**2 + 40*r + 8 = 0. Calculate r.
-2/3, -2/7
Factor 2*q**3 - 754*q**2 - 1516*q.
2*q*(q - 379)*(q + 2)
Suppose 3*u**4 - 81*u**3 - 360*u**2 - 372*u = 0. What is u?
-2, 0, 31
Solve -k**2 + 117*k = 0.
0, 117
Suppose -2*a**3 - 16*a**2 - 2*a + 84 = 0. What is a?
-7, -3, 2
Factor -4*h**3/3 - 76*h**2/3 - 24*h.
-4*h*(h + 1)*(h + 18)/3
Factor -x**3 - 175*x**2 - 684*x.
-x*(x + 4)*(x + 171)
Factor -4*m**2 + 264*m - 512.
-4*(m - 64)*(m - 2)
Suppose 4*f**3 - 180*f**2 + 824*f - 960 = 0. What is f?
2, 3, 40
What is j in 4*j**2/3 - 4*j - 16/3 = 0?
-1, 4
Find a, given that 2*a**3/5 + 132*a**2/5 + 2904*a/5 + 21296/5 = 0.
-22
Solve -5*h**4/6 + 5*h**3/2 + 155*h**2/2 + 1025*h/6 - 250 = 0 for h.
-5, 1, 12
Find q, given that -q**2 - 3994*q - 3988009 = 0.
-1997
Determine b, given that 45*b**5 - 150*b**4 - 2260*b**3 - 6600*b**2 - 7680*b - 3200 = 0.
-2, -4/3, 10
Factor -3*x**3 - 237*x**2 + 3*x + 237.
-3*(x - 1)*(x + 1)*(x + 79)
Solve 10*y**4 + 55*y**3 + 110*y**2 + 95*y + 30 = 0 for y.
-2, -3/2, -1
Factor -2*f**4/3 - 26*f**3/3 + 20*f**2.
-2*f**2*(f - 2)*(f + 15)/3
Find n, given that -3*n**3/7 + 18*n**2/7 - 27*n/7 + 12/7 = 0.
1, 4
Factor -5*i**2 - 45*i - 90.
-5*(i + 3)*(i + 6)
Factor 2*p**2/9 - 38*p/9 - 40/9.
2*(p - 20)*(p + 1)/9
Factor 2*x**3 - 38*x**2 + 148*x - 112.
2*(x - 14)*(x - 4)*(x - 1)
Factor -2*k**3/11 + 30*k**2/11 - 8*k - 120/11.
-2*(k - 10)*(k - 6)*(k + 1)/11
What is b in 3*b**2/5 - 249*b/5 - 252/5 = 0?
-1, 84
What is c in 3*c**4/2 - 3*c**3 - 255*c**2/2 + 489*c - 360 = 0?
-10, 1, 3, 8
What is h in 5*h**5 - 20*h**4 + 15*h**3 = 0?
0, 1, 3
Factor -1191640*q**3 + 57660*q**2 - 930*q + 5.
-5*(62*q - 1)**3
Factor 26*m**3/5 + 8*m**2/5 - 62*m/5 - 44/5.
2*(m + 1)**2*(13*m - 22)/5
Factor -2*h**3/11 - 48*h**2/11 + 234*h/11 + 280/11.
-2*(h - 5)*(h + 1)*(h + 28)/11
Suppose 3*m**2 - 303*m + 300 = 0. Calculate m.
1, 100
Suppose 2*n**3/5 + 184*n**2/5 + 3626*n/5 - 28812/5 = 0. What is n?
-49, 6
Factor -s**2 + 24*s - 144.
-(s - 12)**2
Factor 4*u**4/3 - 880*u**3/3 + 47512*u**2/3 + 32560*u + 16428.
4*(u - 111)**2*(u + 1)**2/3
Solve -2*r**2/9 - 102*r = 0 for r.
-459, 0
What is j in 5*j**5 + 60*j**4 + 165*j**3 - 170*j**2 - 420*j + 360 = 0?
-6, -2, 1
Suppose 14*c**5/13 - 24*c**4/13 - 190*c**3/13 - 192*c**2/13 - 40*c/13 = 0. What is c?
-2, -1, -2/7, 0, 5
Factor 28*p**4 + 8*p**3 - 84*p**2 + 32*p + 16.
4*(p - 1)**2*(p + 2)*(7*p + 2)
Suppose 21*j**4 + 90*j**3 + 45*j**2 - 120*j - 36 = 0. What is j?
-3, -2, -2/7, 1
Let 6*u**5 + 39*u**4 - 27*u**3 - 39*u**2 + 21*u = 0. Calculate u.
-7, -1, 0, 1/2, 1
Find w, given that 4*w**5 + 168*w**4 + 320*w**3 - 8*w**2 - 324*w - 160 = 0.
-40, -1, 1
Factor -c**2/5 - 3*c/5 + 2.
-(c - 2)*(c + 5)/5
Factor j**3 + 141*j**2 + 5760*j + 53248.
(j + 13)*(j + 64)**2
Factor 5*y**3 + 795*y**2 + 31995*y + 31205.
5*(y + 1)*(y + 79)**2
Suppose 2*q**4/3 + 71*q**3/3 + 11*q**2 - 71*q/3 - 35/3 = 0. What is q?
-35, -1, -1/2, 1
Suppose 3*y**4/5 + 21*y**3/5 + 51*y**2/5 + 51*y/5 + 18/5 = 0. Calculate y.
-3, -2, -1
Find w, given that -20*w**4 + 3908*w**3 + 2360*w**2 - 1568*w = 0.
-1, 0, 2/5, 196
Determine z, given that 2*z**2 - 384*z + 18432 = 0.
96
Let 6*a**5 + 139*a**4 + 882*a**3 + 891*a**2 + 242*a = 0. What is a?
-11, -2/3, -1/2, 0
Factor -5*j**2/3 - 94*j - 112/3.
-(j + 56)*(5*j + 2)/3
Factor -3*a**3 - 33*a**2 + 75*a - 39.
-3*(a - 1)**2*(a + 13)
Suppose x**3/3 + 3*x**2 + 14*x/3 - 8 = 0. Calculate x.
-6, -4, 1
Factor -3*m**3 + 19395*m**2 - 41796225*m + 30023621625.
-3*(m - 2155)**3
Factor 3*y**2/5 + 489*y/5 - 3042/5.
3*(y - 6)*(y + 169)/5
Determine r, given that 14*r**2 - 26*r/3 - 16/3 = 0.
-8/21, 1
Find y such that 3*y**2/4 + 1293*y/4 + 645/2 = 0.
-430, -1
Find p such that 21*p**3 + 255*p**2 + 876*p + 900 = 0.
-50/7, -3, -2
Factor -5*o**3/3 + 16255*o**2/3 - 13219375*o/3 + 13203125/3.
-5*(o - 1625)**2*(o - 1)/3
Let -v**2/6 + 7*v - 147/2 = 0. What is v?
21
Factor -x**3/7 - 6*x**2/7 + 15*x/7 - 8/7.
-(x - 1)**2*(x + 8)/7
Factor -15*q**3 + 215*q**2 - 70*q.
-5*q*(q - 14)*(3*q - 1)
Factor -4*b**3 + 180*b**2 - 1932*b - 2116.
-4*(b - 23)**2*(b + 1)
Find b, given that -3*b**3 - 519*b**2 - 510*b + 1032 = 0.
-172, -2, 1
Suppose -6*m**5/11 - 60*m**4/11 + 216*m**3/11 - 228*m**2/11 + 78*m/11 = 0. What is m?
-13, 0, 1
Factor -4*a**5 - 20*a**4 - 4*a**3 + 68*a**2 + 88*a + 32.
-4*(a - 2)*(a + 1)**3*(a + 4)
What is u in -2*u**2/7 - 2*u/7 + 4/7 = 0?
-2, 1
Determine p, given that p**3 - 29*p**2 + 160*p + 768 = 0.
-3, 16
Factor -2*p**3 + 1680*p**2 + 1682*p.
-2*p*(p - 841)*(p + 1)
Factor 4*s**3 - 164*s**2 + 608*s - 592.
4*(s - 37)*(s - 2)**2
Determine c so that 2*c**2/3 - 20*c/3 - 64 = 0.
-6, 16
Factor 141*n**2 + 125*n - 16.
(n + 1)*(141*n - 16)
Factor 2*f**5 - 38*f**4 + 152*f**3 - 160*f**2 - 128*f + 224.
2*(f - 14)*(f - 2)**3*(f + 1)
Let 8*k**4 + 38*k**3 + 38*k**2 - 12*k = 0. Calculate k.
-3, -2, 0, 1/4
Factor 4*l**2 - 1040*l + 67600.
4*(l - 130)**2
Factor j**5/5 + 73*j**4/5 + 1438*j**3/5 + 3886*j**2/5 + 749*j + 245.
(j + 1)**3*(j + 35)**2/5
Factor -c**2/3 + 4*c/3 - 1.
-(c - 3)*(c - 1)/3
Solve -z**2/7 - 22*z/7 - 