 164*l/7 + 12/7 = 0.
-1, -1/6, 3
Factor -2*i**3/3 + 10*i**2/3 + 16*i/3 - 32.
-2*(i - 4)**2*(i + 3)/3
Factor 4*v**5 - 8364*v**4 + 4359720*v**3 + 13129384*v**2 + 13146132*v + 4384836.
4*(v - 1047)**2*(v + 1)**3
Factor -a**3/3 - 8*a**2/3 + 1711*a/3 - 1702/3.
-(a - 37)*(a - 1)*(a + 46)/3
Determine b so that 2*b**2/7 + 232*b/7 + 6728/7 = 0.
-58
Factor -2*z**2 - 1024*z - 131072.
-2*(z + 256)**2
Suppose -c**5/11 + 7*c**4/11 - 14*c**3/11 + 8*c**2/11 = 0. What is c?
0, 1, 2, 4
Factor 4*z**3 + 260*z**2 + 3808*z - 13872.
4*(z - 3)*(z + 34)**2
Factor -k**4/4 - 11*k**3/4 - 37*k**2/4 - 45*k/4 - 9/2.
-(k + 1)**2*(k + 3)*(k + 6)/4
Factor -5*r**3 - 348*r**2 - 540*r + 272.
-(r + 2)*(r + 68)*(5*r - 2)
Let 10*a**3 - 375*a**2 + 180*a + 185 = 0. Calculate a.
-1/2, 1, 37
Let -52*a**5 - 1136*a**4 - 5440*a**3 - 9536*a**2 - 5056*a + 1024 = 0. What is a?
-16, -2, 2/13
Factor 2*p**2 + 78*p - 164.
2*(p - 2)*(p + 41)
Let -12*h**5 - 3*h**4 + 36*h**3 - 15*h**2 - 6*h = 0. Calculate h.
-2, -1/4, 0, 1
Factor -9*g**4 + 259*g**3 + 607*g**2 + 401*g + 62.
-(g - 31)*(g + 1)**2*(9*g + 2)
Factor -g**2 + 5*g + 14.
-(g - 7)*(g + 2)
Find z such that -5*z**2 - 280*z - 3075 = 0.
-41, -15
Factor -j**3/6 + 115*j**2/6 - 3127*j/6 - 3481/2.
-(j - 59)**2*(j + 3)/6
Factor -5*q**5 + 15*q**3 + 10*q**2.
-5*q**2*(q - 2)*(q + 1)**2
Let 4*h**5/5 + 69*h**4/5 + 37*h**3 - 998*h**2/5 + 108*h + 40 = 0. What is h?
-10, -1/4, 1, 2
Factor -2*c**3 - 14*c**2 + 20*c + 32.
-2*(c - 2)*(c + 1)*(c + 8)
Factor -4*o**4 + 12*o**3 + 128*o**2 + 240*o + 128.
-4*(o - 8)*(o + 1)*(o + 2)**2
Factor 2*b**4 + 46*b**3 + 236*b**2 - 384*b - 576.
2*(b - 2)*(b + 1)*(b + 12)**2
Let 2*n**4/15 - 2*n**3 - 146*n**2/15 - 38*n/5 = 0. Calculate n.
-3, -1, 0, 19
Factor w**2 - 154*w + 153.
(w - 153)*(w - 1)
Suppose -2*j**2 - 2756*j = 0. What is j?
-1378, 0
Factor -2*v**4 - 16*v**3 + 2*v**2 + 16*v.
-2*v*(v - 1)*(v + 1)*(v + 8)
Suppose v**4 - 4*v**3 + 2*v**2 + 4*v - 3 = 0. What is v?
-1, 1, 3
Let -486*w**5/7 + 1836*w**4/7 - 1230*w**3/7 + 296*w**2/7 - 24*w/7 = 0. What is w?
0, 2/9, 1/3, 3
Factor g**3 + 353*g**2 - 354*g.
g*(g - 1)*(g + 354)
What is u in 5*u**4 + 20*u**3 - 65*u**2 - 20*u + 60 = 0?
-6, -1, 1, 2
What is z in 2*z**3 + 36*z**2/5 - 66*z/5 + 4 = 0?
-5, 2/5, 1
Let -v**2/2 + v = 0. What is v?
0, 2
Suppose 5*v**4 - 105*v**3 + 395*v**2 + 105*v - 400 = 0. What is v?
-1, 1, 5, 16
What is r in r**3 + 79*r**2 + 1695*r + 11025 = 0?
-49, -15
Factor 2*h**3.
2*h**3
Factor -y**5/4 + y**4/2 + 9*y**3/2 + 8*y**2 + 23*y/4 + 3/2.
-(y - 6)*(y + 1)**4/4
Suppose -q**4/5 + 282*q**3/5 + 1139*q**2/5 + 1428*q/5 + 572/5 = 0. What is q?
-2, -1, 286
Suppose 3*u**4/7 - 9*u**3/7 + 12*u/7 = 0. What is u?
-1, 0, 2
Suppose -3*d**4/7 - 327*d**3/7 - 1569*d**2/7 - 909*d/7 + 2808/7 = 0. What is d?
-104, -3, 1
Factor -c**3/3 - 943*c**2 - 889249*c - 838561807/3.
-(c + 943)**3/3
Factor 4*s**3/3 + 38*s**2 + 48*s - 162.
2*(s + 3)*(s + 27)*(2*s - 3)/3
Suppose -2*m**3 - 84*m**2 - 898*m - 816 = 0. Calculate m.
-24, -17, -1
Find c such that 15*c**3/2 - 2031*c**2/2 - 3279*c/2 - 1233/2 = 0.
-1, -3/5, 137
Let 25*h**4 - 85*h**3 + 105*h**2 - 55*h + 10 = 0. What is h?
2/5, 1
Factor 5*b**4 - 26*b**3 - 204*b**2 - 344*b - 160.
(b - 10)*(b + 2)**2*(5*b + 4)
Suppose 2*x**4 + 152*x**3 - 2604*x**2 + 11368*x - 8918 = 0. What is x?
-91, 1, 7
Factor 3*d**4 + 18*d**3 + 24*d**2.
3*d**2*(d + 2)*(d + 4)
Factor -5*h**4 - 145*h**3 + 150*h**2.
-5*h**2*(h - 1)*(h + 30)
Factor 3*k**4 - 321*k**3 - 990*k**2 - 12*k + 1320.
3*(k - 110)*(k - 1)*(k + 2)**2
Factor -2*n**3/7 - 22*n**2/7 - 2*n + 42.
-2*(n - 3)*(n + 7)**2/7
Factor -5*m**3 - 60*m**2 + 635*m - 570.
-5*(m - 6)*(m - 1)*(m + 19)
Let -4*f**3/3 - 100*f**2/3 - 88*f/3 + 64 = 0. Calculate f.
-24, -2, 1
Let 2*j**5 + 17*j**4 - 468*j**3 + 1330*j**2 + 2842*j + 1029 = 0. What is j?
-21, -1, -1/2, 7
Solve -w**2/4 + 41*w - 1681 = 0 for w.
82
Suppose -2*l**5 - 26*l**4 + 94*l**3 - 38*l**2 - 92*l + 64 = 0. What is l?
-16, -1, 1, 2
Determine s, given that 2*s**5/17 + 2*s**4/17 - 10*s**3/17 + 6*s**2/17 = 0.
-3, 0, 1
Factor -2*u**3/11 + 4*u**2 - 38*u/11 - 84/11.
-2*(u - 21)*(u - 2)*(u + 1)/11
Factor -2*y**3/17 + 36*y**2/17 - 30*y/17 - 4.
-2*(y - 17)*(y - 2)*(y + 1)/17
Let 3*a**4/7 + 12*a**3 - 279*a**2/7 + 12*a/7 + 372/7 = 0. Calculate a.
-31, -1, 2
Factor -3*m**2/8 + 3831*m/2 - 4892187/2.
-3*(m - 2554)**2/8
Let 2*q**5 + 3*q**4 - 13*q**3 - 33*q**2 - 25*q - 6 = 0. What is q?
-2, -1, -1/2, 3
Solve -u**3/4 - 21*u**2 - 1677*u/4 + 1849/2 = 0.
-43, 2
Factor -v**5/2 - 6*v**4 - 23*v**3 - 30*v**2 - 25*v/2.
-v*(v + 1)**2*(v + 5)**2/2
Suppose 6*a**3/5 + 26*a**2/15 - 2*a/15 - 2/3 = 0. Calculate a.
-1, 5/9
Factor 3*u**5 + 720*u**4 + 43914*u**3 + 85680*u**2 + 42483*u.
3*u*(u + 1)**2*(u + 119)**2
Factor 5*x**4 + 180*x**3 + 175*x**2.
5*x**2*(x + 1)*(x + 35)
Let 9*i**3/4 - 213*i**2/2 - 72*i = 0. What is i?
-2/3, 0, 48
Suppose -3*i**3 + 507*i**2 - 23085*i + 137781 = 0. Calculate i.
7, 81
Factor -2*r**2/19 + 10*r + 192/19.
-2*(r - 96)*(r + 1)/19
Factor 2*i**3/5 - 354*i**2/5 + 20886*i/5 - 410758/5.
2*(i - 59)**3/5
Factor -k**5 + 4*k**4 - k**3 - 6*k**2.
-k**2*(k - 3)*(k - 2)*(k + 1)
Find f, given that 5*f**2/3 + 335*f/3 + 2360/3 = 0.
-59, -8
Find v, given that -3*v**3 + 27*v**2 - 72*v + 60 = 0.
2, 5
Find u such that u**2/3 + 31*u/3 - 32/3 = 0.
-32, 1
Find w, given that 8*w**2/3 - 1324*w + 1984/3 = 0.
1/2, 496
Factor g**2/3 + 82*g/3 + 1681/3.
(g + 41)**2/3
Factor 2*r**5 + 6*r**4 - 8*r**3.
2*r**3*(r - 1)*(r + 4)
Factor -2*c**2/5 + 2*c + 48/5.
-2*(c - 8)*(c + 3)/5
Factor -a**4 + 36*a**3 - 35*a**2.
-a**2*(a - 35)*(a - 1)
Determine q, given that q**3/3 + q**2 + 2*q/3 = 0.
-2, -1, 0
Let -i**2 + 59*i = 0. What is i?
0, 59
Suppose -5*p**2 + 440*p - 9680 = 0. What is p?
44
Factor -2*i**3 - 716*i**2 - 64082*i.
-2*i*(i + 179)**2
Let 6*a**5/19 - 88*a**4/19 + 344*a**3/19 - 108*a**2/19 - 350*a/19 + 196/19 = 0. What is a?
-1, 2/3, 1, 7
Factor 3*c**4/8 + 13*c**3/8 + 13*c**2/8 + 3*c/8.
c*(c + 1)*(c + 3)*(3*c + 1)/8
Factor 5*z**5 - 30*z**4 + 70*z**3 - 80*z**2 + 45*z - 10.
5*(z - 2)*(z - 1)**4
Solve -y**2/2 - 56*y = 0 for y.
-112, 0
Factor 5*n**5 + 15*n**4 - 25*n**3 - 15*n**2 + 20*n.
5*n*(n - 1)**2*(n + 1)*(n + 4)
Suppose -2*w**3 - 138*w**2 - 2310*w - 11374 = 0. Calculate w.
-47, -11
Factor -2*g**4 - 22*g**3 - 48*g**2 + 72*g.
-2*g*(g - 1)*(g + 6)**2
Find w such that w**4/5 - 3*w**3/5 - 4*w**2/5 + 12*w/5 = 0.
-2, 0, 2, 3
Factor -4*x**5 - 20*x**4 - 25*x**3 + 10*x**2 + 20*x - 8.
-(x + 2)**3*(2*x - 1)**2
Determine h so that -2*h**3/3 - 2*h**2/3 + 8*h/3 + 8/3 = 0.
-2, -1, 2
Factor 10*r**4/7 + 256*r**3/7 + 150*r**2/7.
2*r**2*(r + 25)*(5*r + 3)/7
Suppose 2*j**4 - 2*j**3 - 12*j**2 = 0. What is j?
-2, 0, 3
Let 2*j**5/5 + 254*j**4/5 - 1086*j**3/5 - 5006*j**2/5 - 3668*j/5 = 0. What is j?
-131, -2, -1, 0, 7
Determine x, given that 24*x**2 + 3*x = 0.
-1/8, 0
What is i in -8*i**3/3 - 18*i**2 - 76*i/3 - 10 = 0?
-5, -1, -3/4
What is o in -o**3 - 991*o**2/3 + 662*o/3 = 0?
-331, 0, 2/3
Find b such that -3*b**5/8 - 3*b**4/2 + 21*b**3 + 99*b**2/4 - 837*b/8 + 243/4 = 0.
-9, -3, 1, 6
Find j such that -j**2 + 181*j/2 + 91/2 = 0.
-1/2, 91
Determine n so that -n**3 + 11*n**2 - 32*n + 28 = 0.
2, 7
Determine l so that 24*l**5 + 44*l**4 - 76*l**3 - 72*l**2 + 112*l - 32 = 0.
-2, 1/2, 2/3, 1
Factor 3*n**2 + 456*n + 4653.
3*(n + 11)*(n + 141)
What is i in -2*i**4/9 - 106*i**3/3 - 34*i**2 + 1574*i/9 - 316/3 = 0?
-158, -3, 1
Factor 3*u**4 - 30*u**3 - 9*u**2 + 84*u + 60.
3*(u - 10)*(u - 2)*(u + 1)**2
Find b such that -3*b**2 - 282*b + 1176 = 0.
-98, 4
Suppose 4*i**2 + 176*i + 172 = 0. What is i?
-43, -1
What is s in 5*s**4 - 570*s**3 + 17345*s**2 - 62700*s + 60500 = 0?
2, 55
Determine z, given that 3*z**3 + 45*z**2 + 168*z + 180 = 0.
-10, -3, -2
Factor -3*g**3/4 + 429*g**2/4 - 3780*g - 3888.
-3*(g - 72)**2*(g + 1)/4
Factor -p**4 - 13*p**3 + 15*p**2 + 13*p - 14.
-(p - 1)**2*(p + 1)*(p + 14)
What is m in -m**3/2 + 59*m**2/2 + m/2 - 59/2 = 0?
-1, 1, 59
What is w in -w**5/4 + 5*w**4/2 - 8*w**3 + 13*w**2/2 + 33*w/4 - 9 = 0?
-1, 1, 3, 4
Factor -2*r**3 + 10*r**2 + 2*r - 10.
-2*(r - 5)*(r - 1)*(r + 1)
Factor -4*c**4 - 8132*c**3 - 5516196*c**2 - 1252154828*c - 2482309864.
-4*(c + 2)*(c + 677)**3
Determine a, given that a**4 + 4*a**3 - a**2 - 16*a - 12 = 0.
-3, -2, -1, 2
Let -3*q**3/7 + 21*q**2 - 900*q/7 + 108 = 0. Calculate q.
1, 6, 42
Factor 2*q**2 