 34)/4
Factor -u**3 + 11*u**2 - 24*u - 36.
-(u - 6)**2*(u + 1)
Determine w, given that -9*w**5 + 48*w**4 + 12*w**3 - 162*w**2 + 141*w - 30 = 0.
-2, 1/3, 1, 5
Determine f so that 20*f**4/3 - 37*f**3/2 + 43*f**2/6 + 8*f - 10/3 = 0.
-5/8, 2/5, 1, 2
Suppose -3*z**4/7 + 72*z**3/7 - 381*z**2/7 + 360*z/7 + 816/7 = 0. What is z?
-1, 4, 17
Factor -s**4 + 12*s**3 + 240*s**2 + 1088*s + 1536.
-(s - 24)*(s + 4)**3
Find x such that 2*x**2 - 188*x + 3840 = 0.
30, 64
Factor 2*i**3/5 - 4*i**2 + 46*i/5 - 28/5.
2*(i - 7)*(i - 2)*(i - 1)/5
Factor -u**4/10 - 7*u**3/10 - 3*u**2/2 - 9*u/10.
-u*(u + 1)*(u + 3)**2/10
Factor 2*j**3/3 + 7036*j**2/3 + 6188162*j/3.
2*j*(j + 1759)**2/3
Factor 3*b**2 - 105*b - 468.
3*(b - 39)*(b + 4)
Factor -5*t**2 - 6310*t - 1990805.
-5*(t + 631)**2
Factor 242*u**3/5 + 814*u**2/5 + 272*u/5 + 24/5.
2*(u + 3)*(11*u + 2)**2/5
Let 20*c**5 - 12*c**4 - 308*c**3 - 580*c**2 - 384*c - 80 = 0. What is c?
-2, -1, -2/5, 5
Factor 6*i**3/7 + 2808*i**2/7 + 438048*i/7 + 22778496/7.
6*(i + 156)**3/7
Suppose 6*f**4/7 + 30*f**3 + 894*f**2/7 - 30*f - 900/7 = 0. What is f?
-30, -5, -1, 1
Factor 7*b**3/4 - 13*b**2/2 - 43*b/4 - 5/2.
(b - 5)*(b + 1)*(7*b + 2)/4
Factor 9*z**5 - 97*z**4 + 338*z**3 - 352*z**2 - 96*z.
z*(z - 4)**2*(z - 3)*(9*z + 2)
Suppose -2*w**2 - 194*w + 196 = 0. What is w?
-98, 1
Factor 4*c**2 + 4336*c + 1175056.
4*(c + 542)**2
Suppose -4*o**5 - 20*o**4 - 28*o**3 - 12*o**2 = 0. What is o?
-3, -1, 0
Find x such that -14*x**4/5 - 31*x**3/5 + 38*x**2/5 + 13*x/5 - 6/5 = 0.
-3, -1/2, 2/7, 1
Let d**5/2 + d**4 - 77*d**3/2 - 203*d**2 - 160*d + 400 = 0. Calculate d.
-5, -4, 1, 10
Let -9*q**3 - 132*q**2 + 188*q - 64 = 0. What is q?
-16, 2/3
Factor -5*y**2 - 160*y + 165.
-5*(y - 1)*(y + 33)
Find j, given that -j**3 - 11*j**2 + 29*j + 39 = 0.
-13, -1, 3
Suppose -26*p**5/15 + 212*p**4/15 - 214*p**3/15 + 28*p**2/15 = 0. What is p?
0, 2/13, 1, 7
Factor -8*m**3/9 - 62*m**2/9 - 104*m/9 + 10/3.
-2*(m + 3)*(m + 5)*(4*m - 1)/9
Solve 3*y**3 + 144*y**2 + 1728*y = 0 for y.
-24, 0
Suppose 2*v**5 + 20*v**4 + 54*v**3 + 4*v**2 - 80*v = 0. Calculate v.
-5, -4, -2, 0, 1
Factor -26*w**2/7 - 214*w/7 - 48/7.
-2*(w + 8)*(13*w + 3)/7
Factor 2*s**4 + 3*s**3/2 - 21*s**2/2 + 17*s/2 - 3/2.
(s - 1)**2*(s + 3)*(4*s - 1)/2
Find v, given that -2*v**5/7 + 64*v**4/7 - 444*v**3/7 - 1088*v**2/7 - 578*v/7 = 0.
-1, 0, 17
Factor -2*c**2/5 - 372*c/5 - 17298/5.
-2*(c + 93)**2/5
Factor 4*a**5 + 32*a**4 + 76*a**3 + 48*a**2.
4*a**2*(a + 1)*(a + 3)*(a + 4)
Let 4*d**2/9 + 64904*d/9 + 263283076/9 = 0. Calculate d.
-8113
Factor 3*t**5 - 87*t**4.
3*t**4*(t - 29)
Factor -u**2 + 3*u + 40.
-(u - 8)*(u + 5)
Let y**3/4 - 47*y**2/2 - 545*y - 2850 = 0. What is y?
-10, 114
Factor 285*j**2/8 - 291*j/8 + 3/4.
3*(j - 1)*(95*j - 2)/8
What is d in -d**3/2 + 163*d**2/2 + 329*d/2 + 165/2 = 0?
-1, 165
Factor 2*n**2/9 - 2608*n/3 + 850208.
2*(n - 1956)**2/9
Factor -2*g**3/15 + 14*g**2/15 - 22*g/15 + 2/3.
-2*(g - 5)*(g - 1)**2/15
Solve -3*c**3/8 + 9*c**2/4 - 9*c/2 + 3 = 0 for c.
2
Factor -4*w**3 + 2116*w**2 - 4220*w + 2108.
-4*(w - 527)*(w - 1)**2
Find l, given that -4*l**3 + 2008*l**2 + 4032*l = 0.
-2, 0, 504
Determine g so that -5*g**3 - 1950*g**2 - 3885*g - 1940 = 0.
-388, -1
Let -100*t**2 - 3520*t - 30976 = 0. Calculate t.
-88/5
Determine m, given that -m**2/4 + 11*m - 57 = 0.
6, 38
Find b, given that -2*b**3/3 + 4*b**2 - 16*b/3 = 0.
0, 2, 4
Factor 3*z**2/4 + 327*z/4 - 165/2.
3*(z - 1)*(z + 110)/4
Factor -2*n**3/11 + 26*n**2/11 + 218*n/11 + 190/11.
-2*(n - 19)*(n + 1)*(n + 5)/11
Solve -v**3/2 + 9*v**2 + 2*v - 36 = 0 for v.
-2, 2, 18
Factor -w**5 - w**4 + 8*w**3 + 12*w**2.
-w**2*(w - 3)*(w + 2)**2
Factor -3*j**4 + 54*j**3 - 255*j**2 + 216*j + 528.
-3*(j - 11)*(j - 4)**2*(j + 1)
Let -2*n**5/5 - 24*n**4/5 - 84*n**3/5 - 104*n**2/5 - 42*n/5 = 0. Calculate n.
-7, -3, -1, 0
Determine s, given that -2*s**3 + 18*s**2 + 20*s = 0.
-1, 0, 10
Factor 5*n**3 + 385*n**2 - 390*n.
5*n*(n - 1)*(n + 78)
Find l such that l**3/2 - 89*l**2/2 + 44*l = 0.
0, 1, 88
Factor 5*o**4 - 25*o**3 + 20*o**2.
5*o**2*(o - 4)*(o - 1)
Factor 2*d**2 - 1280*d - 1282.
2*(d - 641)*(d + 1)
What is x in x**2 - 25*x = 0?
0, 25
Factor -2*l**2 - 262*l + 532.
-2*(l - 2)*(l + 133)
Suppose 15*k**5 + 275*k**4 + 1305*k**3 + 405*k**2 = 0. Calculate k.
-9, -1/3, 0
Factor -s**3 - 5*s**2 + 56*s + 60.
-(s - 6)*(s + 1)*(s + 10)
Factor 3*h**3/5 + 48*h**2/5 + 39*h/5 - 18.
3*(h - 1)*(h + 2)*(h + 15)/5
What is u in -4*u**5/5 - 2*u**4 - 2*u**3/5 + 4*u**2/5 = 0?
-2, -1, 0, 1/2
Solve -21*d**5 + 429*d**4/2 - 1533*d**3/2 + 2109*d**2/2 - 585*d/2 - 189 = 0 for d.
-2/7, 1, 3, 7/2
Factor 4*d**3 + d**2 - 29*d - 30.
(d - 3)*(d + 2)*(4*d + 5)
Let -m**5/2 - 3*m**4 + 5*m**3/2 + 27*m**2 - 2*m - 60 = 0. What is m?
-5, -3, -2, 2
Solve -18*w**4 + 7*w**3 + 17*w**2 - 8*w = 0 for w.
-1, 0, 1/2, 8/9
Factor 10*m**3 + 56*m**2 - 294*m + 108.
2*(m - 3)*(m + 9)*(5*m - 2)
Suppose -20*x**5 - 275*x**4 - 870*x**3 + 515*x**2 + 890*x - 240 = 0. What is x?
-8, -6, -1, 1/4, 1
Factor -2*s**2 - 4*s - 2.
-2*(s + 1)**2
Determine k so that -2*k**5/3 + 2*k**4/3 + 28*k**3/3 - 56*k**2/3 - 16*k/3 + 64/3 = 0.
-4, -1, 2
Suppose -5*t**3 + 570*t**2 + 1200*t - 4640 = 0. What is t?
-4, 2, 116
Factor -v**2 + 4*v - 3.
-(v - 3)*(v - 1)
Let -3*c**3/7 + 309*c**2/7 + 1272*c/7 + 1284/7 = 0. What is c?
-2, 107
Let i**3/7 - 8*i**2/7 + 17*i/7 - 10/7 = 0. Calculate i.
1, 2, 5
Factor -5*o**2 - 3010*o + 3015.
-5*(o - 1)*(o + 603)
Factor -q**2 - 9*q - 14.
-(q + 2)*(q + 7)
Factor -4*a**2/21 + 2*a/21.
-2*a*(2*a - 1)/21
Factor v**2/7 + 1742*v/7 + 758641/7.
(v + 871)**2/7
Solve 1922*c**3 - 2170*c**2 + 256*c - 8 = 0 for c.
2/31, 1
Factor 2*a**4/9 - 32*a**3/9 - 34*a**2/9.
2*a**2*(a - 17)*(a + 1)/9
Solve -9*i**2/7 - 219*i/7 - 72/7 = 0.
-24, -1/3
Solve -5*d**5/3 - 170*d**4/3 - 1010*d**3/3 - 580*d**2 + 165*d + 810 = 0 for d.
-27, -3, -2, 1
Let -2*m**4/11 - 52*m**3/11 + 112*m**2/11 = 0. What is m?
-28, 0, 2
Factor -3*b**2/4 + 93*b/4.
-3*b*(b - 31)/4
Find c, given that 28*c**2 - 1504*c - 432 = 0.
-2/7, 54
Let -5*n**3 + 20*n**2 - 20*n = 0. What is n?
0, 2
Let 3*k**5 + 600*k**4 + 579*k**3 - 3594*k**2 - 2364*k + 4776 = 0. What is k?
-199, -2, 1, 2
Factor -288*u**2 - 4848*u - 20402.
-2*(12*u + 101)**2
Suppose 5*j**3 + 745*j**2 - 1505*j + 755 = 0. What is j?
-151, 1
Factor -3*o**5 - 51*o**4 - 93*o**3 - 45*o**2.
-3*o**2*(o + 1)**2*(o + 15)
Suppose -8*x**3 - 120*x**2 - 114*x - 28 = 0. What is x?
-14, -1/2
Factor 3*b**3 + 423*b**2 + 14256*b - 46656.
3*(b - 3)*(b + 72)**2
Factor 6*b**2/5 - 638*b/5 - 216.
2*(b - 108)*(3*b + 5)/5
Factor -p**4/3 + 13*p**3/3 - 16*p**2 + 12*p.
-p*(p - 6)**2*(p - 1)/3
Find m such that -4*m**3 - 536*m**2 - 532*m = 0.
-133, -1, 0
Let -3*h**5 + 183*h**4 + 1680*h**3 - 1368*h**2 - 20304*h + 29808 = 0. Calculate h.
-6, 2, 69
Suppose -7*n**2 - 184*n - 52 = 0. What is n?
-26, -2/7
Factor -5*k**2/6 - 20*k/3 - 40/3.
-5*(k + 4)**2/6
Suppose 21*d**4 + 9*d**3 - 366*d**2/7 + 180*d/7 - 24/7 = 0. Calculate d.
-2, 2/7, 1
Factor -2*r**2/17 + 14*r/17 - 12/17.
-2*(r - 6)*(r - 1)/17
Factor z**4 + 18*z**3 + 33*z**2 + 16*z.
z*(z + 1)**2*(z + 16)
Suppose 2*n**3/3 + 50*n**2 + 1248*n + 10368 = 0. Calculate n.
-27, -24
Factor -d**2/4 + 451*d/2 - 203401/4.
-(d - 451)**2/4
Factor -5*a**4 - 640*a**3 - 30450*a**2 - 639160*a - 4999745.
-5*(a + 29)**3*(a + 41)
Find v, given that -2*v**5/3 + 4*v**4/3 + 2*v**3/3 - 4*v**2/3 = 0.
-1, 0, 1, 2
Factor -3*o**2 + 450*o - 16875.
-3*(o - 75)**2
Find w such that -2*w**2 - 38*w - 140 = 0.
-14, -5
Factor g**4 + 26*g**3/5 + 5*g**2 + 4*g/5.
g*(g + 1)*(g + 4)*(5*g + 1)/5
Factor 2*n**3 + 32*n**2 + 154*n + 196.
2*(n + 2)*(n + 7)**2
Factor -y**5/9 - 1330*y**4/9 - 588745*y**3/9 - 9594100*y**2 + 19385040*y - 9725376.
-(y - 1)**2*(y + 444)**3/9
Solve -4*z**4/9 - 56*z**3/9 + 4*z**2/9 + 56*z/9 = 0 for z.
-14, -1, 0, 1
What is h in 2*h**3/5 + 36*h**2/5 - 32*h/5 - 576/5 = 0?
-18, -4, 4
Factor -5*p**3 + 225*p**2 - 3375*p + 16875.
-5*(p - 15)**3
Find h such that 2*h**2/9 + 4*h/9 - 2/3 = 0.
-3, 1
Suppose -5*x**3 - 1040*x**2 + 3165*x = 0. What is x?
-211, 0, 3
Factor -n**3 + 76*n - 240.
-(n - 6)*(n - 4)*(n + 10)
Factor -2*c**4/3 + 2*c**3 + 98*c**2/3 - 98*c.
-2*c*(c - 7)*(c - 3)*(c + 7)/3
Find n, given that -196*n**3/5 - 1137276*n**2/5 + 129984*n - 92848/5 = 0.
-5803, 2/7
Factor q**3 + 676*q**2 - 4083*q + 6138.
(q - 3)**2*(q + 682)
Factor -5*b*