Factor 3*d**3 + 33*d**2 + 24*d - 60.
3*(d - 1)*(d + 2)*(d + 10)
Solve 7*f**3 + 240*f**2 + 68*f = 0 for f.
-34, -2/7, 0
Factor -5*r**3 - 5*r**2 + 25*r - 15.
-5*(r - 1)**2*(r + 3)
Suppose 3*c**4/8 - 33*c**3/8 + 45*c**2/8 + 81*c/8 = 0. What is c?
-1, 0, 3, 9
Factor -3*b**2/7 + 6018*b/7 - 6015/7.
-3*(b - 2005)*(b - 1)/7
Factor -4*o**2 - 8*o + 96.
-4*(o - 4)*(o + 6)
Determine g, given that -276*g**5 + 1204*g**4 - 656*g**3/3 - 2192*g**2/3 + 64*g/3 = 0.
-2/3, 0, 2/69, 1, 4
Determine m, given that -3*m**2 - 1248*m - 129792 = 0.
-208
Find n such that 4*n**4 - 672*n**3 + 42336*n**2 - 1185408*n + 12446784 = 0.
42
What is m in 4*m**3 - 702*m**2 + 1401*m/4 - 175/4 = 0?
1/4, 175
Solve -20*b**4 - 76*b**3 + 256*b**2 - 48*b = 0.
-6, 0, 1/5, 2
Let 12*w**3 - 131*w**2 + 205*w + 18 = 0. Calculate w.
-1/12, 2, 9
Factor 5*z**4 + 35*z**3 + 50*z**2.
5*z**2*(z + 2)*(z + 5)
Suppose 2*x**2 - 1236*x + 190962 = 0. What is x?
309
Solve t**2/3 - 5*t/3 + 4/3 = 0 for t.
1, 4
Suppose -g**3 - 13*g**2 + 30*g = 0. What is g?
-15, 0, 2
Factor -5*t**3 - 74455*t**2 - 277140120*t + 277214580.
-5*(t - 1)*(t + 7446)**2
Suppose k**5/10 + 91*k**4/10 + 131*k**3/5 - 94*k**2/5 - 532*k/5 - 352/5 = 0. Calculate k.
-88, -2, -1, 2
Let -f**3 - 2543*f**2/4 - 100965*f + 25281 = 0. Calculate f.
-318, 1/4
Factor 2*s**2/3 - 20*s/3 - 114.
2*(s - 19)*(s + 9)/3
Find j, given that 18*j**5 + 86*j**4 + 88*j**3 - 96*j**2 - 128*j + 32 = 0.
-2, 2/9, 1
Factor 2*u**3/7 + 12*u**2/7 + 18*u/7.
2*u*(u + 3)**2/7
Factor -5*w**2 - 390*w - 1125.
-5*(w + 3)*(w + 75)
Factor 2*w**2/7 - 110*w/7 - 2272/7.
2*(w - 71)*(w + 16)/7
Factor -m**4/4 + 23*m**3/4 - 93*m**2/2 + 153*m - 162.
-(m - 9)*(m - 6)**2*(m - 2)/4
Factor -z**3 + 861*z**2 - 247107*z + 23639903.
-(z - 287)**3
Suppose 21*d**4 + 141*d**3 - 399*d**2 + 291*d - 54 = 0. Calculate d.
-9, 2/7, 1
Let -x**3/6 + 7*x**2/2 - 9*x = 0. What is x?
0, 3, 18
Factor 4046*o**2/3 - 408*o + 216/7.
2*(119*o - 18)**2/21
Determine n so that -2*n**2/3 + 22*n - 124/3 = 0.
2, 31
Factor -8*a**2 - 67*a - 24.
-(a + 8)*(8*a + 3)
Let -f**2/3 + 74*f/3 - 1369/3 = 0. Calculate f.
37
Let 4*y**3 - 20*y**2 - 4*y + 20 = 0. Calculate y.
-1, 1, 5
Factor 3*b**5/4 - 315*b**4/2 + 3699*b**3/4 - 1377*b**2.
3*b**2*(b - 204)*(b - 3)**2/4
Suppose 4*i**2 - 46*i + 22 = 0. What is i?
1/2, 11
Factor -3*m**3/4 + 3*m**2 - 9*m/4.
-3*m*(m - 3)*(m - 1)/4
Factor -5*w**3 - 140*w**2 + 5*w + 140.
-5*(w - 1)*(w + 1)*(w + 28)
Suppose 5*k**5 - 5*k**3 = 0. Calculate k.
-1, 0, 1
Let 2*f**2 + 30*f - 68 = 0. Calculate f.
-17, 2
Factor 4*v**3 - 4*v**2 - 24*v.
4*v*(v - 3)*(v + 2)
Suppose 5*h**3/3 - 9518*h**2/3 + 4527712*h/3 + 1812608/3 = 0. Calculate h.
-2/5, 952
Let 4*f**5 - 284*f**4 + 4588*f**3 + 16412*f**2 + 1184*f - 21904 = 0. What is f?
-2, 1, 37
Let -4*f**4/3 - 52*f**3/3 - 76*f**2/3 + 44*f = 0. Calculate f.
-11, -3, 0, 1
Factor 4*i**4 - 306*i**3 - 154*i**2.
2*i**2*(i - 77)*(2*i + 1)
Determine p, given that 2*p**4/5 - 4*p**3 + 48*p**2/5 + 4*p - 10 = 0.
-1, 1, 5
Suppose -5*l**4 + 45*l**3 - 140*l**2 + 180*l - 80 = 0. What is l?
1, 2, 4
Solve 3*u**3 + 36*u**2 - 135*u = 0.
-15, 0, 3
Suppose 4*y**3 - 764*y**2 + 760*y = 0. Calculate y.
0, 1, 190
Let m**3 - 668*m**2 - 669*m = 0. Calculate m.
-1, 0, 669
Let 2*t**4/19 - 24*t**3/19 + 64*t**2/19 = 0. What is t?
0, 4, 8
Find x, given that -3*x**5 + 24*x**4 + 9*x**3 - 66*x**2 - 48*x = 0.
-1, 0, 2, 8
Factor s**5 - 7*s**4 + 7*s**3 + 51*s**2 - 144*s + 108.
(s - 3)**2*(s - 2)**2*(s + 3)
Solve -2*j**4 - 74*j**3/7 - 6*j**2/7 + 74*j/7 + 20/7 = 0.
-5, -1, -2/7, 1
Factor 10*z**4/7 - 52*z**3/7 + 10*z**2/7.
2*z**2*(z - 5)*(5*z - 1)/7
Solve 2*w**2 - 2276*w + 647522 = 0.
569
Find m, given that -2*m**2/15 - 1480*m/3 - 1369000/3 = 0.
-1850
Find b such that b**4/2 + 176*b**3 + 20532*b**2 + 779744*b - 1643032 = 0.
-118, 2
Factor 5*q**2/6 - 1045*q/6 + 520/3.
5*(q - 208)*(q - 1)/6
Factor -58*f**2 + f.
-f*(58*f - 1)
Factor 4*z**3 - 120*z**2.
4*z**2*(z - 30)
Factor -w**2/2 - 7*w/2 - 6.
-(w + 3)*(w + 4)/2
Factor -4*l**2 - 132*l - 248.
-4*(l + 2)*(l + 31)
Let -108*h**4 + 116*h**3 + 208*h**2 - 16*h = 0. What is h?
-1, 0, 2/27, 2
Determine u, given that -5*u**4 - 105*u**3 + 150*u**2 + 820*u - 1320 = 0.
-22, -3, 2
Factor -2*p**3/13 + 110*p**2/13 - 212*p/13.
-2*p*(p - 53)*(p - 2)/13
Factor -36*l**5 - 24*l**4 + 3*l**3 + 3*l**2.
-3*l**2*(2*l + 1)**2*(3*l - 1)
Let -z**5/5 - 9*z**4/5 - 5*z**3 - 27*z**2/5 - 2*z = 0. Calculate z.
-5, -2, -1, 0
Solve -9*q**5 + 33*q**4 - 15*q**3 - 9*q**2 = 0.
-1/3, 0, 1, 3
Find f, given that 2*f**3/3 - 1478*f**2/15 - 296*f/15 = 0.
-1/5, 0, 148
Solve -c**4/9 - 8*c**3/3 - 16*c**2 = 0.
-12, 0
Find x, given that x**2 - 4*x + 3 = 0.
1, 3
Factor j**4/5 + 7*j**3.
j**3*(j + 35)/5
Factor z**5/5 + z**4/5 - 3*z**3/5 - z**2 - 2*z/5.
z*(z - 2)*(z + 1)**3/5
Suppose r**2/6 + 5767*r/6 - 2884/3 = 0. What is r?
-5768, 1
Factor 3*q**3 - 259*q**2 - 1266*q - 728.
(q - 91)*(q + 4)*(3*q + 2)
Factor 28*s**2 + 160*s - 48.
4*(s + 6)*(7*s - 2)
Factor 4*s**5/7 + 40*s**4/7 + 144*s**3/7 + 232*s**2/7 + 172*s/7 + 48/7.
4*(s + 1)**3*(s + 3)*(s + 4)/7
Determine i so that -3*i**3/4 - 15*i**2/4 + 159*i/2 - 210 = 0.
-14, 4, 5
Determine h so that -3*h**5/4 - 543*h**4/8 - 2859*h**3/4 - 2685*h**2 - 7677*h/2 - 10665/8 = 0.
-79, -5, -3, -1/2
Factor -4*z**4/3 + 176*z**3/3 - 700*z**2 + 1176*z.
-4*z*(z - 21)**2*(z - 2)/3
Factor 2*x**4/13 - 6*x**3 + 216*x**2/13.
2*x**2*(x - 36)*(x - 3)/13
Find z, given that -z**2/5 - 8*z/5 + 48/5 = 0.
-12, 4
Factor 2*j**4/9 + 10*j**3/9 - 56*j**2/9 - 64*j/9.
2*j*(j - 4)*(j + 1)*(j + 8)/9
Factor -4*t**3 - 240*t**2 - 3348*t + 7688.
-4*(t - 2)*(t + 31)**2
Factor -3*g**4 - 63*g**3 - 270*g**2 + 336*g.
-3*g*(g - 1)*(g + 8)*(g + 14)
Let b**2/3 - 246*b + 45387 = 0. Calculate b.
369
Factor o**3 - 19*o**2 + 35*o - 17.
(o - 17)*(o - 1)**2
Factor 2*q**5/7 + 8*q**4/7 + 8*q**3/7.
2*q**3*(q + 2)**2/7
Determine j, given that 2*j**2 - 664*j - 666 = 0.
-1, 333
Factor -j**3 + j**2 + 4*j - 4.
-(j - 2)*(j - 1)*(j + 2)
Factor 2*x**3/17 - 4*x**2/17 - 38*x/17 + 40/17.
2*(x - 5)*(x - 1)*(x + 4)/17
Find y such that -12*y**4 + 492*y**3 - 6123*y**2 + 22140*y - 24300 = 0.
5/2, 18
Factor -x**2/4 + 43*x/4 + 60.
-(x - 48)*(x + 5)/4
Find n such that -5*n**2 - 55*n - 90 = 0.
-9, -2
What is v in 3*v**5 - 6*v**4 - 30*v**3 + 24*v**2 + 99*v + 54 = 0?
-2, -1, 3
Factor 2*g**3/3 + 10*g**2/3 - 2*g/3 - 10/3.
2*(g - 1)*(g + 1)*(g + 5)/3
Factor 2*r**4/3 - 6*r**3 + 6*r**2 + 98*r/3 + 20.
2*(r - 6)*(r - 5)*(r + 1)**2/3
What is j in -436*j**3 - 884*j**2 - 460*j - 12 = 0?
-1, -3/109
What is a in -4*a**4 + 4*a**3 + 4*a**2 - 4*a = 0?
-1, 0, 1
Factor -3*l**3 + 30*l**2 - 75*l.
-3*l*(l - 5)**2
Factor 2*n**2/7 + 16*n/7.
2*n*(n + 8)/7
Let 3*d**3 - 6150*d**2 + 3151875*d = 0. Calculate d.
0, 1025
Let -3*t**2/2 - 1089*t/4 + 273/2 = 0. What is t?
-182, 1/2
Factor -2*c**2/21 - 54*c/7 + 164/21.
-2*(c - 1)*(c + 82)/21
Solve -4*j**3/7 + 188*j**2 - 102076*j/7 - 1028196/7 = 0 for j.
-9, 169
Factor -h**2/3 + 43*h/3 - 40.
-(h - 40)*(h - 3)/3
Solve 15*d**3 + 51*d**2 + 18*d = 0 for d.
-3, -2/5, 0
Solve -5*n**5/2 + 3*n**4/2 + 11*n**3 - 6*n**2 - 4*n = 0 for n.
-2, -2/5, 0, 1, 2
Factor -t**2 - 64*t.
-t*(t + 64)
Suppose r**5 + 5*r**4 + 3*r**3 - 13*r**2 - 8*r + 12 = 0. What is r?
-3, -2, 1
Find c such that -c**3/2 - 507*c**2 - 171366*c - 19307236 = 0.
-338
Let -4*s**4 + 114*s**3 - 722*s**2 - 1290*s - 450 = 0. Calculate s.
-1, -1/2, 15
Factor 4*i**4 - 100*i**3 - 2464*i**2 + 2560*i.
4*i*(i - 40)*(i - 1)*(i + 16)
Let 2*c**4/9 - 10*c**3/9 + 10*c**2/9 + 10*c/9 - 4/3 = 0. Calculate c.
-1, 1, 2, 3
Factor -3*a**3 - 10911*a**2 - 9915369*a + 9926283.
-3*(a - 1)*(a + 1819)**2
Find a such that -5*a**5/4 - 15*a**4/2 + 5*a**3/2 + 45*a**2 - 5*a/4 - 75/2 = 0.
-5, -3, -1, 1, 2
Find p, given that p**5/4 - 3*p**4 + 19*p**3/4 + 3*p**2 - 5*p = 0.
-1, 0, 1, 2, 10
Find b such that -16*b**5 + 4260*b**4 - 292456*b**3 + 1183728*b**2 - 1101448*b + 205932 = 0.
1/4, 1, 3, 131
Factor -10*a**4 - 105*a**3 - 140*a**2 - 45*a.
-5*a*(a + 1)*(a + 9)*(2*a + 1)
Factor 3*n**3 - 48*n**2 + 132*n + 480.
3*(n - 10)*(n - 8)*(n + 2)
Solve 2*m**3 - 8*m**2 - 22*m - 12 = 0 for m.
-1, 6
Let 5*l**4 + 55*l**3 - 15*l**2 - 175*l - 110 = 0. Calculate l.
-11, -1, 2
Let -5*d**3 - 560*d**2 + 2895*d - 3510 = 0. Calculate d.
-117, 2, 3
What is x in 4*x**4/5 - 200*x**3 + 62484*x**2/5 + 800*x - 50000 = 0?
-2, 2, 125
Factor -2*o**3/5 - 6*