m**5 - 66*m**4 - 216*m**3 - 222*m**2 - 75*m = 0. What is m?
-1, 0, 25
Factor 3*s**3 + 236*s**2 + 156*s.
s*(s + 78)*(3*s + 2)
Solve 3*v**4/4 + 75*v**3/4 + 267*v**2/4 + 321*v/4 + 63/2 = 0 for v.
-21, -2, -1
Suppose -3*u**4 + 9*u**3 + 15*u**2 - 9*u - 12 = 0. Calculate u.
-1, 1, 4
Solve c**4/8 - 11*c**3/8 + 9*c**2/2 - 9*c/2 = 0 for c.
0, 2, 3, 6
Factor 15*j**3 - 489*j**2 + 744*j.
3*j*(j - 31)*(5*j - 8)
Factor -2*u**4/5 + 11*u**3/5 + 38*u**2/5 + 16*u/5.
-u*(u - 8)*(u + 2)*(2*u + 1)/5
Solve -2*j**4/13 + 280*j**3/13 - 8300*j**2/13 - 105000*j/13 - 281250/13 = 0.
-5, 75
Determine n so that -3*n**5/5 - 27*n**4/5 - 81*n**3/5 - 69*n**2/5 + 72*n/5 + 108/5 = 0.
-3, -2, 1
Factor -4*a**4 - 32*a**3 - 20*a**2 + 56*a.
-4*a*(a - 1)*(a + 2)*(a + 7)
What is h in -2*h**5/3 + 4*h**4 + 4*h**3/3 - 8*h**2 - 2*h/3 + 4 = 0?
-1, 1, 6
Factor r**2/4 + 449*r/4 - 1365/2.
(r - 6)*(r + 455)/4
Factor w**2 - 118*w + 3481.
(w - 59)**2
What is x in 2*x**5 - 22*x**3 - 36*x**2 - 16*x = 0?
-2, -1, 0, 4
Solve 2*j**3 + 16*j**2 - 74*j - 88 = 0 for j.
-11, -1, 4
Suppose -w**2/4 + 132*w - 17424 = 0. What is w?
264
Determine s so that -3*s**2 - 42*s + 621 = 0.
-23, 9
Factor m**2/5 - 166*m/5 + 6889/5.
(m - 83)**2/5
Suppose 6*k**5 - 10*k**4 - 454*k**3 - 1614*k**2 - 1808*k - 440 = 0. Calculate k.
-5, -2, -1/3, 11
Let 3*x**2/7 + 87*x - 612/7 = 0. What is x?
-204, 1
Factor -40*t**3 + 145*t**2 - 60*t - 45.
-5*(t - 3)*(t - 1)*(8*t + 3)
Determine j so that 5*j**2 - 95*j - 210 = 0.
-2, 21
Suppose -v**3/2 - 111*v**2 - 12321*v/2 = 0. What is v?
-111, 0
Factor -2*r**3/5 + 6*r**2/5 - 4*r/5.
-2*r*(r - 2)*(r - 1)/5
Suppose -2*t**5/17 - 52*t**4/17 + 672*t**3/17 - 1748*t**2/17 - 670*t/17 + 1800/17 = 0. Calculate t.
-36, -1, 1, 5
Factor t**4/6 - 115*t**3/6 - 58*t**2/3.
t**2*(t - 116)*(t + 1)/6
Find g, given that g**2/12 + 4*g = 0.
-48, 0
Find g, given that 2*g**3 - 14*g**2 - 16*g = 0.
-1, 0, 8
Solve -2*u**3 + 1358*u**2 + 2722*u + 1362 = 0.
-1, 681
Determine n so that 4*n**3 + 4*n**2 - 36*n - 36 = 0.
-3, -1, 3
Solve 131072*i**5/9 + 229376*i**4/9 + 41984*i**3/3 + 3456*i**2 + 402*i + 18 = 0 for i.
-1, -3/16
Determine y, given that 5*y**5 - 30*y**4 + 55*y**3 - 10*y**2 - 60*y + 40 = 0.
-1, 1, 2
Suppose -27*d**3 - 4320*d**2 - 230400*d - 4096000 = 0. What is d?
-160/3
Find h, given that 4*h**2 + 3272*h - 3276 = 0.
-819, 1
Solve -2*a**2/7 - 220*a - 1538/7 = 0.
-769, -1
Factor 3*p**3 - 3564*p**2 + 1411344*p - 186297408.
3*(p - 396)**3
Suppose -5*s**3 + 520*s**2 - 2905*s - 3430 = 0. Calculate s.
-1, 7, 98
Find z, given that -4*z**2 + 5160*z - 1664100 = 0.
645
Solve 5*l**3 - 1525*l**2 - 7730*l - 6200 = 0.
-4, -1, 310
Factor 3*z**2/5 + 111*z/5.
3*z*(z + 37)/5
Factor 2*r**5 + 88*r**4 + 168*r**3 - 4*r**2 - 170*r - 84.
2*(r - 1)*(r + 1)**3*(r + 42)
Factor -2*g**2 + 130*g - 128.
-2*(g - 64)*(g - 1)
Factor -3*n**3/4 + 141*n**2/4 - 201*n/2 + 66.
-3*(n - 44)*(n - 2)*(n - 1)/4
Find j, given that 69*j**4 - 75*j**3 - 132*j**2 + 12*j = 0.
-1, 0, 2/23, 2
Factor -2*n**3 + 8*n**2 - 2*n - 12.
-2*(n - 3)*(n - 2)*(n + 1)
Factor -n**2/3 - 208*n/3.
-n*(n + 208)/3
Factor 3*b**2/5 + 303*b/5 + 882/5.
3*(b + 3)*(b + 98)/5
Let 147*h**4 + 84*h**3 - 996*h**2 - 288*h + 1728 = 0. Calculate h.
-2, 12/7
Determine h so that -h**4/7 + 16*h**2/7 = 0.
-4, 0, 4
Factor 3*k**3/4 - 37*k**2/4 + 45*k/4 - 11/4.
(k - 11)*(k - 1)*(3*k - 1)/4
Factor 8*v**3/13 + 46*v**2/13 - 68*v/13 + 14/13.
2*(v - 1)*(v + 7)*(4*v - 1)/13
Solve -m**4 - 4*m**3 + 15*m**2 + 58*m + 40 = 0.
-5, -2, -1, 4
Determine k, given that 2*k**3/7 - 1130*k**2/7 + 8944*k/7 - 17824/7 = 0.
4, 557
Determine y, given that 625*y**5/2 + 575*y**4 - 821*y**3/2 - 571*y**2 + 98*y - 4 = 0.
-2, -1, 2/25, 1
Factor -15*x**2 + 1775*x/2 - 295/2.
-5*(x - 59)*(6*x - 1)/2
Factor -5*o**5 - 25*o**4 - 20*o**3.
-5*o**3*(o + 1)*(o + 4)
Factor 2*h**4 + 2*h**3 - 8*h**2 - 8*h.
2*h*(h - 2)*(h + 1)*(h + 2)
Find g, given that 2*g**3/9 - 26*g**2/9 - 28*g/9 = 0.
-1, 0, 14
Factor -m**2/2 - 570*m + 1142.
-(m - 2)*(m + 1142)/2
Suppose -2*p**4/15 + 2*p**3/5 + 4*p**2/5 - 16*p/15 = 0. Calculate p.
-2, 0, 1, 4
Factor 4*k**5 - 16*k**3.
4*k**3*(k - 2)*(k + 2)
Suppose -27*y**5/2 - 3693*y**4/2 + 2274*y**3 - 414*y**2 = 0. Calculate y.
-138, 0, 2/9, 1
Factor -33*a**2/8 + 741*a/8 - 765/2.
-3*(a - 17)*(11*a - 60)/8
Factor -52*d**2/7 + 41*d + 75/7.
-(4*d + 1)*(13*d - 75)/7
Solve -5*g**5 + 320*g**3 - 1520*g**2 + 2640*g - 1600 = 0.
-10, 2, 4
Factor 2*w**3 + 16*w**2 - 18*w.
2*w*(w - 1)*(w + 9)
Factor 5*b**3 + 40*b**2 + 80*b.
5*b*(b + 4)**2
Suppose 5*u**5 + 300*u**4 + 4500*u**3 = 0. What is u?
-30, 0
Suppose 2*v**5/5 - 14*v**4/5 + 24*v**3/5 + 32*v**2/5 - 128*v/5 + 96/5 = 0. Calculate v.
-2, 2, 3
Let -5*g**5 - 5*g**4 + 145*g**3 + 145*g**2 - 680*g + 400 = 0. Calculate g.
-4, 1, 5
Factor w**3/3 - 3*w**2 + 5*w + 25/3.
(w - 5)**2*(w + 1)/3
Solve -3*y**3 + 42*y**2 - 147*y = 0 for y.
0, 7
Determine r, given that r**5/6 + 2*r**4 + 19*r**3/3 + 26*r**2/3 + 11*r/2 + 4/3 = 0.
-8, -1
Determine u, given that 2*u**4 + 14*u**3 - 18*u**2 - 126*u = 0.
-7, -3, 0, 3
Suppose -2*t**4/17 - 260*t**3/17 + 792*t**2/17 - 796*t/17 + 266/17 = 0. Calculate t.
-133, 1
Determine r, given that -4*r**4 + 12464*r**3 - 9721912*r**2 + 19406448*r - 9696996 = 0.
1, 1557
What is k in 100*k**5/9 + 280*k**4/9 + 76*k**3/9 - 248*k**2/9 - 176*k/9 - 32/9 = 0?
-2, -1, -2/5, 1
What is d in -4*d**5 - 12*d**4 + 44*d**3 + 204*d**2 + 248*d + 96 = 0?
-3, -2, -1, 4
Solve 4*f**3 - 252*f**2 - 520*f = 0 for f.
-2, 0, 65
Factor -4*f**2 - 36*f + 5544.
-4*(f - 33)*(f + 42)
Determine z, given that -6*z**5/7 + 62*z**4/7 + 310*z**3/7 + 10*z**2/7 - 544*z/7 + 24 = 0.
-3, -2, 1/3, 1, 14
Factor 3*z**2 - 2916*z + 708588.
3*(z - 486)**2
Factor -2*n**2 + 1044*n - 136242.
-2*(n - 261)**2
Let -5*x**4 - 310*x**3 - 2240*x**2 - 4320*x = 0. What is x?
-54, -4, 0
Factor -3*m**4/2 + 9*m**3/2 + 6*m**2 - 18*m.
-3*m*(m - 3)*(m - 2)*(m + 2)/2
Factor -3*z**3/8 - 15*z**2/4 + 159*z/8 - 63/4.
-3*(z - 3)*(z - 1)*(z + 14)/8
Find n, given that 4*n**3/5 + 4*n**2/5 - 176*n/5 + 384/5 = 0.
-8, 3, 4
Factor 22*u**2/3 - 20*u/3.
2*u*(11*u - 10)/3
Determine r so that -r**4/4 - 2*r**3 - 4*r**2 = 0.
-4, 0
Suppose t**4/5 + 9*t**3/5 - 81*t**2/5 + 27*t = 0. What is t?
-15, 0, 3
Factor -2*o**4 + 12*o**3 + 102*o**2 + 88*o.
-2*o*(o - 11)*(o + 1)*(o + 4)
Determine x so that -5*x**2 + 280*x + 580 = 0.
-2, 58
Factor 2*o**3 + 720*o**2 + 1434*o + 716.
2*(o + 1)**2*(o + 358)
Suppose -35*n**3 - 1250*n**2 + 360*n = 0. What is n?
-36, 0, 2/7
Solve 2*h**3/13 - 12*h**2/13 + 16*h/13 = 0.
0, 2, 4
Find n, given that 4*n**3 - 256*n**2 + 716*n + 976 = 0.
-1, 4, 61
Let 3*c**2/4 - 975*c/4 + 243 = 0. Calculate c.
1, 324
Find f, given that -5*f**5/2 + 29*f**4/2 - 27*f**3 + 19*f**2 - 5*f/2 - 3/2 = 0.
-1/5, 1, 3
Factor 2*a**2 - 3246*a + 6484.
2*(a - 1621)*(a - 2)
Factor -2*b**5/13 - 226*b**4/13 - 9632*b**3/13 - 185024*b**2/13 - 1404928*b/13 - 1229312/13.
-2*(b + 1)*(b + 28)**4/13
Factor -f**3/4 + 9*f**2 - 269*f/4 + 117/2.
-(f - 26)*(f - 9)*(f - 1)/4
Solve 3*s**4 - 699*s**3 + 54054*s**2 - 1368900*s - 1423656 = 0.
-1, 78
Find j such that 20*j**5 - 192*j**4 + 580*j**3 - 536*j**2 + 128 = 0.
-2/5, 1, 4
Factor -2*p**5 + 12*p**4 - 18*p**3.
-2*p**3*(p - 3)**2
Solve -2*x**4 + 34*x**3/5 + 28*x**2/5 - 16*x/5 = 0.
-1, 0, 2/5, 4
Factor 5*n**3 - 20*n**2 - 35*n + 50.
5*(n - 5)*(n - 1)*(n + 2)
Find c, given that 4*c**4 - 40*c**3 - 48*c**2 + 40*c + 44 = 0.
-1, 1, 11
Determine p, given that 6*p**5/5 + 74*p**4/5 - 30*p**3 - 26*p**2 + 144*p/5 + 56/5 = 0.
-14, -1, -1/3, 1, 2
Let 21*h**3 + 1347*h**2 + 21696*h + 3072 = 0. What is h?
-32, -1/7
Factor -3*w**3 + 9*w**2 + 243*w + 231.
-3*(w - 11)*(w + 1)*(w + 7)
Factor -2*y**2/3 + 20*y + 128/3.
-2*(y - 32)*(y + 2)/3
Suppose 3*u**4 + 104*u**3 - 257*u**2 + 74*u = 0. What is u?
-37, 0, 1/3, 2
Factor -28*s**4 + 188*s**3 - 280*s**2 - 96*s.
-4*s*(s - 4)*(s - 3)*(7*s + 2)
Solve -5*q**3 + 460*q**2 + 465*q = 0 for q.
-1, 0, 93
Factor -4*o**3 - 2296*o**2 - 327168*o + 663552.
-4*(o - 2)*(o + 288)**2
Factor -2*b**3/15 + 14*b**2/15 + 2*b/15 - 14/15.
-2*(b - 7)*(b - 1)*(b + 1)/15
Let j**3/6 + 19*j**2/3 + 70*j/3 + 68/3 = 0. What is j?
-34, -2
Factor 2*w**2 - 2*w.
2*w*(w - 1)
Factor -f**2/2 + 68*f.
-f*(f - 136)/2
What is m in -3*m**4 + 378*m**3 - 1107*m**2 - 12*m + 1476 = 0?
-1, 2, 123
What is w in -w**4/4 - w**3/2 + w/2 + 1/4 = 0?
-1, 1
Factor 5*o**2 + 2675*o.
