 so that 3*o**5 + 165*o**4 + 3336*o**3 + 30228*o**2 + 120096*o + 171072 = 0.
-18, -11, -4
Factor 245*o**5 + 9940*o**4 + 103620*o**3 + 56800*o**2 + 8000*o.
5*o*(o + 20)**2*(7*o + 2)**2
Factor 2*j**4 + 20*j**3 - 74*j**2 + 52*j.
2*j*(j - 2)*(j - 1)*(j + 13)
Suppose -p**3 - 8*p**2 - 7*p = 0. What is p?
-7, -1, 0
Find i such that 14*i**4/13 - 326*i**3/13 + 400*i**2/13 - 88*i/13 = 0.
0, 2/7, 1, 22
Factor 5*h**5/2 - 35*h**4/2 + 95*h**3/2 - 125*h**2/2 + 40*h - 10.
5*(h - 2)**2*(h - 1)**3/2
Find t such that 2*t**2/9 + 2*t - 44/9 = 0.
-11, 2
Suppose 21*q**3 - 783*q**2 + 6522*q - 1800 = 0. What is q?
2/7, 12, 25
Solve -3*j**5/7 + 6*j**3/7 - 3*j/7 = 0.
-1, 0, 1
Factor -4*g**3/9 + 421*g**2/9 - 2105*g/9 + 500/9.
-(g - 100)*(g - 5)*(4*g - 1)/9
Find w such that -w**3/4 - 3*w**2 = 0.
-12, 0
Factor -2*k**2 - 30*k - 100.
-2*(k + 5)*(k + 10)
Solve 3*a**2/2 - 249*a/2 - 126 = 0.
-1, 84
Find x such that 3*x**4/7 - 345*x**3/7 + 1341*x**2 + 30621*x/7 + 20886/7 = 0.
-2, -1, 59
Suppose 3*n**3/2 - 12*n**2 - 30*n = 0. What is n?
-2, 0, 10
Determine l so that 2*l**5/7 - 20*l**3/7 - 40*l**2/7 - 30*l/7 - 8/7 = 0.
-1, 4
Factor 2*y**3/3 - 42*y**2 + 124*y/3.
2*y*(y - 62)*(y - 1)/3
Factor 5*y**3 - 5940*y**2 + 2352240*y - 310495680.
5*(y - 396)**3
Find o, given that -4*o**4 - 196*o**3 - 3252*o**2 - 19244*o - 16184 = 0.
-17, -14, -1
Factor -3*h**3/4 - 3*h**2 - 9*h/4.
-3*h*(h + 1)*(h + 3)/4
What is g in -5*g**4 + 100*g**3 + 5*g**2 - 100*g = 0?
-1, 0, 1, 20
Factor -r**4 + 28*r**3 - 49*r**2 - 78*r.
-r*(r - 26)*(r - 3)*(r + 1)
Let v**5/5 - v**4/10 - 67*v**3/10 - 151*v**2/10 - 23*v/2 - 14/5 = 0. What is v?
-4, -1, -1/2, 7
What is k in 2*k**4/11 + 2*k**3/11 - 228*k**2/11 + 432*k/11 = 0?
-12, 0, 2, 9
Suppose y**2/2 - 233*y/2 + 116 = 0. What is y?
1, 232
Factor -l**4/5 - 6*l**3/5 - 9*l**2/5.
-l**2*(l + 3)**2/5
Find v, given that v**4 - 8*v**3 - 44*v**2 - 48*v = 0.
-2, 0, 12
Let -19*v**3/5 - 11*v**2 - 32*v/5 + 4/5 = 0. Calculate v.
-2, -1, 2/19
What is m in -m**2 + 40*m - 39 = 0?
1, 39
Factor o**5 + 2*o**4 - 2*o**3 - 4*o**2 + o + 2.
(o - 1)**2*(o + 1)**2*(o + 2)
Let -2*b**4 + 44*b**3 - 192*b**2 - 576*b = 0. Calculate b.
-2, 0, 12
Factor s**2 + 47*s + 510.
(s + 17)*(s + 30)
Factor -5*z**4 - 1565*z**3 - 124775*z**2 - 360375*z.
-5*z*(z + 3)*(z + 155)**2
Solve -2*b**3 + 208*b**2 - 5194*b - 11236 = 0 for b.
-2, 53
Factor 4*i**2 - 908*i + 2688.
4*(i - 224)*(i - 3)
Find z, given that -2*z**3/7 + 2*z**2 - 32*z/7 + 24/7 = 0.
2, 3
Determine z, given that 2*z**2/15 + 170*z/3 - 284/5 = 0.
-426, 1
What is z in 2*z**4/23 - 36*z**3/23 + 232*z**2/23 - 624*z/23 + 576/23 = 0?
2, 4, 6
Find y such that -5*y**3 + 4435*y**2 + 5*y - 4435 = 0.
-1, 1, 887
What is w in 123*w**3 + 366*w**2 - 9*w = 0?
-3, 0, 1/41
Factor h**4 + 32*h**3 - 103*h**2 + 70*h.
h*(h - 2)*(h - 1)*(h + 35)
Determine n so that 6*n**3 - 69*n**2 + 180*n + 108 = 0.
-1/2, 6
Factor -u**3 - 567*u**2 - 107163*u - 6751269.
-(u + 189)**3
Solve r**5/7 + 10*r**4/7 + 4*r**3 - 8*r**2/7 - 128*r/7 - 128/7 = 0.
-4, -2, 2
Find t, given that 5*t**5 + 45*t**4 + 150*t**3 + 220*t**2 + 120*t = 0.
-3, -2, 0
Factor -76*u**5 - 604*u**4 - 1184*u**3 + 64*u**2.
-4*u**2*(u + 4)**2*(19*u - 1)
Let -3*h**2/8 + 183*h/2 - 11163/2 = 0. What is h?
122
Suppose -2*t**4/3 + 2*t**3 - 4*t**2/3 = 0. Calculate t.
0, 1, 2
Let -194*p**5 - 772*p**4 - 566*p**3 + 788*p**2 + 760*p - 16 = 0. What is p?
-2, -1, 2/97, 1
Find d, given that -2*d**5/5 - 6*d**4/5 + 2*d**3/5 + 22*d**2/5 + 24*d/5 + 8/5 = 0.
-2, -1, 2
Factor -3*r**3/5 + 69*r**2/5 - 72*r - 432/5.
-3*(r - 12)**2*(r + 1)/5
Factor -4*r**2 - 68*r.
-4*r*(r + 17)
Suppose -k**3/3 - 67*k**2/3 - 440*k - 2100 = 0. What is k?
-30, -7
Factor 2*k**5 - 22*k**3 + 36*k**2 - 16*k.
2*k*(k - 2)*(k - 1)**2*(k + 4)
Determine x so that 15*x**3 - 147*x**2 - 783*x - 621 = 0.
-3, -1, 69/5
Suppose -5*w**3 - 115*w**2 + 265*w + 375 = 0. What is w?
-25, -1, 3
Determine l so that -2*l**2 + 74*l - 72 = 0.
1, 36
Solve p**4/3 + 37*p**3/3 + 35*p**2/3 - 37*p/3 - 12 = 0 for p.
-36, -1, 1
Factor k**4 - k**3 - 4*k**2 + 4*k.
k*(k - 2)*(k - 1)*(k + 2)
Factor h**4 - 29*h**3 + 122*h**2 + 368*h.
h*(h - 23)*(h - 8)*(h + 2)
Let -4*q**3 - 64*q**2 + 76*q + 136 = 0. Calculate q.
-17, -1, 2
Factor -3*n**3 - 114*n**2 + 12*n + 456.
-3*(n - 2)*(n + 2)*(n + 38)
Suppose -j**2/3 + 14*j/3 + 32/3 = 0. What is j?
-2, 16
Factor -4*j**2 + 24*j - 20.
-4*(j - 5)*(j - 1)
Find w, given that -5*w**3 + 35*w**2 + 85*w + 45 = 0.
-1, 9
Factor -69*h**5/4 + 201*h**4/4 - 189*h**3/4 + 51*h**2/4 + 3*h/2.
-3*h*(h - 1)**3*(23*h + 2)/4
Let -2*z**4/7 - 632*z**3/7 - 49926*z**2/7 + 632*z/7 + 49928/7 = 0. What is z?
-158, -1, 1
What is c in -c**4 + 9*c**3 - 23*c**2 + 15*c = 0?
0, 1, 3, 5
Suppose -4*w**3 + 184*w**2 + 396*w - 576 = 0. Calculate w.
-3, 1, 48
Factor -4*t**5/5 + 1732*t**4/5 - 184876*t**3/5 - 113012*t**2 - 568544*t/5 - 190096/5.
-4*(t - 218)**2*(t + 1)**3/5
Factor -2*g**2 + 34*g.
-2*g*(g - 17)
Solve -12*g**3 + 548*g**2 - 356*g - 180 = 0 for g.
-1/3, 1, 45
Factor 5*l**3/2 - 40*l**2 - 55*l/2 + 1815.
5*(l - 11)**2*(l + 6)/2
Factor 3*k**5 - 36*k**4 + 9*k**3 + 564*k**2 + 756*k.
3*k*(k - 9)*(k - 7)*(k + 2)**2
Factor -16*n**4 - 46*n**3 - 30*n**2.
-2*n**2*(n + 1)*(8*n + 15)
Let 7*d**4/5 - 656*d**3/5 + 3054*d**2 + 4888*d/5 - 2209 = 0. Calculate d.
-1, 5/7, 47
Find k, given that 3*k**3 - 78*k**2 - 12*k + 312 = 0.
-2, 2, 26
Factor 3*s**2/4 - 153*s/4 - 243/2.
3*(s - 54)*(s + 3)/4
Solve -2*m**3/11 - 18*m**2/11 + 96*m/11 - 104/11 = 0.
-13, 2
Factor -2*p**4/11 + 928*p**3/11 + 2796*p**2/11 + 2800*p/11 + 934/11.
-2*(p - 467)*(p + 1)**3/11
Solve 2*b**4/3 - 11*b**3/3 - 10*b**2/3 + 31*b - 30 = 0 for b.
-3, 3/2, 2, 5
Let -3*r**3/5 - 9*r**2 + 48*r/5 = 0. Calculate r.
-16, 0, 1
Let -2*b**4 - 129*b**3/5 + 31*b**2 + 12*b/5 - 28/5 = 0. Calculate b.
-14, -2/5, 1/2, 1
What is t in -5*t**5 - 15*t**4 + 10*t**3 + 30*t**2 - 5*t - 15 = 0?
-3, -1, 1
Factor -l**4/3 + 107*l**3/3 + 109*l**2 + 329*l/3 + 110/3.
-(l - 110)*(l + 1)**3/3
Factor -5*b**3 - 50*b**2 + 5*b + 50.
-5*(b - 1)*(b + 1)*(b + 10)
Factor -5*z**2 + 12170*z - 7405445.
-5*(z - 1217)**2
Determine g so that -108*g**4 + 12*g**3 + 80*g**2 + 16*g = 0.
-2/3, -2/9, 0, 1
Determine g, given that -14*g**4 + 96*g**3 - 1320*g**2/7 + 800*g/7 = 0.
0, 10/7, 4
Let -y**2 + 34*y = 0. Calculate y.
0, 34
Solve j**4 - 7*j**3 + 5*j**2 + 7*j - 6 = 0 for j.
-1, 1, 6
Find z, given that 668*z**2 - 1324*z - 24 = 0.
-3/167, 2
Suppose -c**2 - 21*c - 54 = 0. Calculate c.
-18, -3
What is x in -21*x**3/4 + 30*x**2 + 183*x/4 + 21/2 = 0?
-1, -2/7, 7
Suppose -k**4/4 + 3*k**3/4 - 3*k**2/4 + k/4 = 0. Calculate k.
0, 1
Let w**4/5 + 6*w**3/5 + 9*w**2/5 = 0. Calculate w.
-3, 0
Let o**5/4 - 3*o**4/4 - o**3/4 + 11*o**2/4 - 3*o + 1 = 0. What is o?
-2, 1, 2
What is b in b**3 + 58*b**2 - 384*b = 0?
-64, 0, 6
Find z, given that -2*z**2 - 100*z = 0.
-50, 0
Factor -z**5 - 14*z**4 - 12*z**3 + 130*z**2 - 163*z + 60.
-(z - 1)**3*(z + 5)*(z + 12)
Suppose 3*t**3 + 24*t**2 - 9*t - 270 = 0. What is t?
-6, -5, 3
Factor y**3 - 4395*y**2 + 6438675*y - 3144219625.
(y - 1465)**3
Factor 3*o**4 - 31*o**3 - 97*o**2 - 89*o - 26.
(o - 13)*(o + 1)**2*(3*o + 2)
Solve -2*a**3 + 512*a**2 - 1522*a + 1012 = 0.
1, 2, 253
Suppose 15*r**4 + 20*r**3 - 35*r**2 - 20*r + 20 = 0. What is r?
-2, -1, 2/3, 1
Factor -3*l**4/2 - 529*l**3/2 - 11704*l**2 - 3872*l.
-l*(l + 88)**2*(3*l + 1)/2
Factor -3*j**2/4 - 261*j/2 - 258.
-3*(j + 2)*(j + 172)/4
Suppose -12*t**4 + 51*t**3 - 12*t**2 = 0. Calculate t.
0, 1/4, 4
Find h, given that -4*h**5 + 40*h**4 + 112*h**3 - 160*h**2 - 384*h = 0.
-2, 0, 2, 12
Suppose -r**3/5 + 88*r**2/5 + 179*r/5 + 18 = 0. What is r?
-1, 90
Factor -2*a**2/9 + 34*a/3 + 212/9.
-2*(a - 53)*(a + 2)/9
Find w, given that 300*w**5 - 3695*w**4/2 - 1747*w**3 - 343*w**2/2 + 190*w + 42 = 0.
-2/5, -3/8, 1/3, 7
Suppose -4*b**2 + 8*b = 0. Calculate b.
0, 2
Factor w**5/2 - 2*w**4 - w**3/2 + 2*w**2.
w**2*(w - 4)*(w - 1)*(w + 1)/2
Find f such that -7552205*f**2 + 61450*f - 125 = 0.
5/1229
Determine x so that -x**3 + 4*x**2 + 20*x - 48 = 0.
-4, 2, 6
Solve -2*b**5 + 30*b**4 - 70*b**3 - 30*b**2 + 72*b = 0 for b.
-1, 0, 1, 3, 12
Determine l so that -5*l**3/4 - 13*l**2/4 - 3*l/2 = 0.
-2, -3/5, 0
Factor -10*n**5 + 105*n**4 - 440*n**3 + 920*n**2 - 960*n + 400.
-5*(n - 2)**4*(2*n - 5)
Factor 4*h**3 - 25*h**2/2 + 2*h + 14.
(h - 2)**2*(8*h + 7)/2
Factor 5*u**4/3 - 5*