 366*j/7 + 148/7.
-2*(j + 37)*(5*j - 2)/7
Solve 16*k**2 + 4636*k + 3468 = 0 for k.
-289, -3/4
Suppose -34*r**4 - 242*r**3 - 402*r**2 - 214*r - 20 = 0. What is r?
-5, -1, -2/17
Solve 3*y**5/8 + 171*y**4/8 + 1071*y**3/4 - 2289*y**2/2 - 1845*y + 2700 = 0.
-30, -2, 1, 4
Factor x**2 - 34*x + 289.
(x - 17)**2
Let 3*q**5/2 - 19*q**4/2 + 9*q**3 + 7*q**2 - 21*q/2 + 5/2 = 0. What is q?
-1, 1/3, 1, 5
Find b, given that -4*b**4 - 4*b**3 + 40*b**2 - 32*b = 0.
-4, 0, 1, 2
Determine p, given that -2*p**4 + 12*p**3 - 16*p**2 = 0.
0, 2, 4
Factor -2*i**3 + 112*i**2/9 + 278*i/9 + 148/9.
-2*(i + 1)**2*(9*i - 74)/9
Factor x**2/7 - 14*x + 97/7.
(x - 97)*(x - 1)/7
Factor 2*u**4 + 98*u**3 - 308*u**2 + 208*u.
2*u*(u - 2)*(u - 1)*(u + 52)
Find a, given that -18*a**2/5 + 16*a = 0.
0, 40/9
Factor 2*i**3 + 16*i**2 + 10*i - 28.
2*(i - 1)*(i + 2)*(i + 7)
Suppose 3*c**3 - 47*c**2/8 + 7*c/2 - 5/8 = 0. What is c?
1/3, 5/8, 1
Suppose -4*r**4 + 1340*r**3 - 149184*r**2 + 5469184*r + 5619712 = 0. What is r?
-1, 112
Factor -4*j**3 - 16*j**2 - 16*j.
-4*j*(j + 2)**2
Factor 4*c**2/7 + 114*c/7 + 8.
2*(c + 28)*(2*c + 1)/7
Suppose 6*y**3 + 153*y**2 - 78*y = 0. Calculate y.
-26, 0, 1/2
Factor 3*n**4 + 66*n**3 + 423*n**2 + 660*n + 300.
3*(n + 1)**2*(n + 10)**2
Factor 3*k**3 - 114*k**2.
3*k**2*(k - 38)
Factor v**2/4 - 53*v/2 + 2809/4.
(v - 53)**2/4
Suppose -2*a**4/23 - 104*a**3/23 - 98*a**2/23 + 204*a/23 = 0. Calculate a.
-51, -2, 0, 1
Factor -4*m**5 - 232*m**4 + 968*m**3 - 1472*m**2 + 988*m - 248.
-4*(m - 1)**4*(m + 62)
Find y, given that -3*y**3 - 66*y**2 - 288*y = 0.
-16, -6, 0
Factor -2*d**2 + 54*d + 3596.
-2*(d - 58)*(d + 31)
Factor -3*o**2 + 51*o.
-3*o*(o - 17)
Factor 2*h**4/9 + 32*h**3/3 + 1328*h**2/9 + 1408*h/3 + 3872/9.
2*(h + 2)**2*(h + 22)**2/9
Factor r**4/2 + 3*r**3 - 6*r**2 - 19*r - 21/2.
(r - 3)*(r + 1)**2*(r + 7)/2
Find w such that -3*w**3 + 27*w**2 + 66*w - 360 = 0.
-4, 3, 10
Determine w, given that 2*w**3 + 16*w**2 + 22*w - 40 = 0.
-5, -4, 1
Factor 2*n**2/15 + 16*n/5.
2*n*(n + 24)/15
Solve -2*a**2/5 - 244*a/5 - 242/5 = 0 for a.
-121, -1
Factor -5*a**4 - 60*a**3 - 175*a**2 + 60*a + 180.
-5*(a - 1)*(a + 1)*(a + 6)**2
Find k, given that 2*k**4/3 - 115*k**3/6 + 63*k**2/2 = 0.
0, 7/4, 27
Factor 5*w**4 + 10*w**3 - 35*w**2 + 20*w.
5*w*(w - 1)**2*(w + 4)
Find l such that -4*l**3 - 4*l**2 + 24*l = 0.
-3, 0, 2
Factor -3*v**2/8 - 261*v - 2085/8.
-3*(v + 1)*(v + 695)/8
Find n such that n**4 - 50*n**3 - 104*n**2 = 0.
-2, 0, 52
Solve 4*q**2 - 380*q = 0.
0, 95
Factor y**5/2 - 5*y**4 + 2*y**3 + 21*y**2 + 27*y/2.
y*(y - 9)*(y - 3)*(y + 1)**2/2
Determine p so that 35*p**3 - 44*p**2 + 7*p + 2 = 0.
-1/7, 2/5, 1
Find m such that 2*m**2/9 - 26*m/3 + 700/9 = 0.
14, 25
Solve 3*d**5 + 3*d**4 - 15*d**3 - 15*d**2 + 12*d + 12 = 0.
-2, -1, 1, 2
Factor h**5 + 118*h**4 + 3093*h**3 - 23932*h**2 - 26908*h.
h*(h - 7)*(h + 1)*(h + 62)**2
Factor 2*x**3/7 - 83*x**2/7 - 6*x.
x*(x - 42)*(2*x + 1)/7
Let -8*z**3 - 70*z**2 - 94*z + 28 = 0. Calculate z.
-7, -2, 1/4
Suppose -2*k**2/5 + 26*k/5 = 0. Calculate k.
0, 13
Factor -4*n**3 - 772*n**2 - 36860*n + 37636.
-4*(n - 1)*(n + 97)**2
Factor -3*j**5 - 13*j**4 - 16*j**3 - 4*j**2.
-j**2*(j + 2)**2*(3*j + 1)
Find l, given that -3*l**5 + 18*l**4 + 48*l**3 + 6*l**2 - 45*l - 24 = 0.
-1, 1, 8
Factor 3*g**5/7 - 30*g**4/7 + 90*g**3/7 - 120*g**2/7 + 75*g/7 - 18/7.
3*(g - 6)*(g - 1)**4/7
Factor 5*c**2/4 - 745*c/4.
5*c*(c - 149)/4
Factor 2*v**4/3 + 400*v**3/3 + 19594*v**2/3 - 40804*v/3.
2*v*(v - 2)*(v + 101)**2/3
Factor 2*t**4 - 40*t**3 + 104*t**2 + 960*t + 1152.
2*(t - 12)**2*(t + 2)**2
Factor 4*r**2 - 360*r + 5600.
4*(r - 70)*(r - 20)
Let -2*k**2/17 - 240*k/17 = 0. What is k?
-120, 0
Find s, given that 5*s**2 + 375*s + 2380 = 0.
-68, -7
Factor -2*u**4 + 62*u**3 - 116*u**2.
-2*u**2*(u - 29)*(u - 2)
What is f in 9*f**3/4 + 51*f**2/4 + 33*f/2 + 6 = 0?
-4, -1, -2/3
Factor -4*v**3/5 + 452*v**2 + 4532*v/5 + 2268/5.
-4*(v - 567)*(v + 1)**2/5
Factor -5*n**4 - 145*n**3 + 15*n**2 + 425*n - 290.
-5*(n - 1)**2*(n + 2)*(n + 29)
Factor -68873401*o**2/3 - 33196*o/3 - 4/3.
-(8299*o + 2)**2/3
Factor -w**5/3 - 56*w**4/3 + 116*w**3/3 - 2*w**2/3 - 115*w/3 + 58/3.
-(w - 1)**3*(w + 1)*(w + 58)/3
Factor 27*c**5 - 72*c**4 + 66*c**3 - 24*c**2 + 3*c.
3*c*(c - 1)**2*(3*c - 1)**2
Find f such that 5*f**2 + 5960*f/3 + 1985/3 = 0.
-397, -1/3
Solve 5*c**2 - 80*c + 300 = 0.
6, 10
Determine n, given that n**5/8 - 517*n**4/8 + 8123*n**3 + 119075*n**2/2 + 69692*n - 137288 = 0.
-4, 1, 262
Suppose -10*c**5 - 4792*c**4 + 91542*c**3/5 - 22004*c**2 + 50216*c/5 - 7728/5 = 0. Calculate c.
-483, 2/5, 1, 2
What is z in 14*z**5/17 + 52*z**4/17 - 58*z**3/17 - 184*z**2/17 - 56*z/17 + 32/17 = 0?
-4, -1, 2/7, 2
Factor 2*x**4/7 - 68*x**3/7 + 320*x**2/7 + 4800*x/7.
2*x*(x - 20)**2*(x + 6)/7
Suppose -2*z**3/9 - 76*z**2/9 + 26*z/3 = 0. What is z?
-39, 0, 1
Factor 2*l**3 - 268*l**2/3 + 1544*l/3 - 304.
2*(l - 38)*(l - 6)*(3*l - 2)/3
Determine o so that o**4/5 + 31*o**3/5 + 11*o**2 - 87*o/5 = 0.
-29, -3, 0, 1
Determine x so that -3*x**4/2 - 15*x**3/2 + 21*x**2/2 + 123*x/2 + 45 = 0.
-5, -2, -1, 3
Factor -5*f**5 + 35*f**4 - 95*f**3 + 125*f**2 - 80*f + 20.
-5*(f - 2)**2*(f - 1)**3
Suppose g**4 - 32*g**3 + 221*g**2 + 578*g = 0. What is g?
-2, 0, 17
What is x in 2*x**2 + 93*x + 46 = 0?
-46, -1/2
Suppose -15*t**3/4 - 5*t**2 + 225*t/4 - 125/2 = 0. Calculate t.
-5, 5/3, 2
Find w, given that 3*w**5/5 - 966*w**4/5 - 3*w**3/5 + 966*w**2/5 = 0.
-1, 0, 1, 322
Determine c, given that 2*c**3 - 658*c**2 + 1960*c - 1304 = 0.
1, 2, 326
Factor 5*i**5 + 50*i**4 + 40*i**3 - 50*i**2 - 45*i.
5*i*(i - 1)*(i + 1)**2*(i + 9)
Factor -3*h**4 - 93*h**3 - 1071*h**2 - 5439*h - 10290.
-3*(h + 7)**3*(h + 10)
Determine h, given that 3*h**4 + 9*h**3 - 30*h**2 = 0.
-5, 0, 2
Suppose n**3 - 20*n**2 - 67*n - 46 = 0. What is n?
-2, -1, 23
Determine u so that -2*u**4/9 + 4*u**3/3 + 58*u**2/9 - 76*u/3 + 160/9 = 0.
-5, 1, 2, 8
Let 58*k**4 + 1046*k**3/7 - 388*k**2/7 - 1496*k/7 + 432/7 = 0. Calculate k.
-2, -54/29, 2/7, 1
What is x in -4*x**2 - 224*x - 220 = 0?
-55, -1
Let 3*b**2 + 738*b + 735 = 0. Calculate b.
-245, -1
Factor -3*d**2/8 + 51*d - 2709/8.
-3*(d - 129)*(d - 7)/8
Determine j, given that -5*j**2 + 4925*j/4 - 615/2 = 0.
1/4, 246
Factor -3*w**4 - 33*w**3 - 81*w**2 - 75*w - 24.
-3*(w + 1)**3*(w + 8)
Solve 2*g**2/5 + 504*g/5 + 31752/5 = 0 for g.
-126
Determine w, given that -15*w**3 + 1150*w**2 - 1885*w + 750 = 0.
2/3, 1, 75
Factor -10*n**3 + 6*n**2 + 24*n + 8.
-2*(n - 2)*(n + 1)*(5*n + 2)
Find n such that -4*n**4/7 + 36*n**3/7 + 188*n**2/7 + 36*n + 104/7 = 0.
-2, -1, 13
Factor -5*z**2/3 + 320/3.
-5*(z - 8)*(z + 8)/3
Factor -h**2/2 + 74*h - 435/2.
-(h - 145)*(h - 3)/2
Factor p**2/2 - 9*p + 17/2.
(p - 17)*(p - 1)/2
Let 2*h**3/5 - 8*h**2/5 - 38*h/5 - 28/5 = 0. What is h?
-2, -1, 7
Factor 5*u**5 + 185*u**4 - 1935*u**3 + 6075*u**2 - 6210*u.
5*u*(u - 3)**3*(u + 46)
Solve -2*y**2/17 - 226*y/17 - 444/17 = 0.
-111, -2
Factor -5*s**4 - 10*s**3 + 95*s**2 + 340*s + 300.
-5*(s - 5)*(s + 2)**2*(s + 3)
Factor -5*i**2 - 150*i + 495.
-5*(i - 3)*(i + 33)
Factor -d**4/2 - 7*d**3/2 + 3*d**2/2 + 19*d/2 - 7.
-(d - 1)**2*(d + 2)*(d + 7)/2
Find f, given that -80*f**4/9 + 634*f**3/3 - 1066*f**2/3 + 1640*f/9 - 88/3 = 0.
3/8, 2/5, 1, 22
Determine u, given that -50*u**2 + 555*u - 55 = 0.
1/10, 11
Determine k so that 4*k**3 + 56*k**2 + 172*k + 120 = 0.
-10, -3, -1
Determine n so that -81*n**5/2 - 90*n**4 - 59*n**3 - 10*n**2 - n/2 = 0.
-1, -1/9, 0
Solve -5*m**4 - 80*m**3 + 85*m**2 = 0.
-17, 0, 1
Determine w, given that 4*w**3 - 1272*w**2 + 5040*w - 5024 = 0.
2, 314
Find x such that -5*x**4 - 2960*x**3 - 588000*x**2 - 39952640*x - 150590720 = 0.
-196, -4
Solve 12*t**2 + 9*t - 3 = 0 for t.
-1, 1/4
Suppose i**2/9 + 1306*i + 3837681 = 0. What is i?
-5877
Let -9*j**3 - 42*j**2 + 51*j = 0. Calculate j.
-17/3, 0, 1
Factor -n**3/5 - 71*n**2/5 - 139*n/5 - 69/5.
-(n + 1)**2*(n + 69)/5
Suppose -m**2 + 14*m + 72 = 0. What is m?
-4, 18
Solve -7*k**4/2 + 61*k**3/2 - 75*k**2 + 46*k + 20 = 0 for k.
-2/7, 2, 5
Factor -3*i**2 + 96*i + 99.
-3*(i - 33)*(i + 1)
Find l, given that -2*l**3/3 + 254*l**2/3 - 7936*l/3 - 8192/3 = 0.
-1, 64
Let -t**3 + 203*t**2 + 1245*t + 1881 = 0. What is t?
-3, 209
Let 4*q**4 - 172*q**3 + 908*q**2 - 740*q = 0. What is q?
0, 1, 5, 37
Factor 5*f**2 + 1710*f + 146205.
5*(f + 171)**2
Factor