i.
-44, -1/3
Solve -2*l**2 - 28*l = 0 for l.
-14, 0
Factor v**2 - 1973*v + 1972.
(v - 1972)*(v - 1)
Factor -p**4/8 - 5*p**3/8 + p**2/8 + 5*p/8.
-p*(p - 1)*(p + 1)*(p + 5)/8
Find f, given that f**5 - 11*f**4 - 2*f**3 + 246*f**2 - 63*f - 1323 = 0.
-3, 3, 7
Find s, given that -3*s**5/8 + 171*s**4/8 - 333*s**3/8 + 165*s**2/8 = 0.
0, 1, 55
Factor -i**5 - 15*i**4 - 87*i**3 - 241*i**2 - 312*i - 144.
-(i + 1)*(i + 3)**2*(i + 4)**2
Factor 190*x**2/7 + 158*x/7 + 24/7.
2*(5*x + 1)*(19*x + 12)/7
Let 3*h**4 + 111*h**3 + 105*h**2 - 111*h - 108 = 0. Calculate h.
-36, -1, 1
Find w such that 7*w**4/2 - 19*w**3/2 - 13*w**2/2 + 19*w/2 + 3 = 0.
-1, -2/7, 1, 3
Solve -2*l**5 + 248*l**4 + 6*l**3 - 748*l**2 + 496*l = 0 for l.
-2, 0, 1, 124
What is c in 4*c**4 - 2156*c**3/3 + 32160*c**2 + 10800*c = 0?
-1/3, 0, 90
Factor -2*x**2/7 - 66*x/7 + 20.
-2*(x - 2)*(x + 35)/7
Factor -5*n**5 - 10*n**4 + 30*n**3 + 100*n**2 + 95*n + 30.
-5*(n - 3)*(n + 1)**3*(n + 2)
Factor -2*y**2 - 22*y + 24.
-2*(y - 1)*(y + 12)
Factor w**3/9 + 2*w**2/9 - w - 2.
(w - 3)*(w + 2)*(w + 3)/9
Determine o so that -o**2 + 9*o - 14 = 0.
2, 7
Determine h so that -h**3/9 + 43*h**2/9 + h/9 - 43/9 = 0.
-1, 1, 43
Factor 5*y**2/9 - 467*y/3 + 280/9.
(y - 280)*(5*y - 1)/9
What is k in -k**2/2 - 5*k/2 + 7 = 0?
-7, 2
Let 14*l**4 + 20*l**3 - 64*l**2 + 12*l + 18 = 0. What is l?
-3, -3/7, 1
Solve -4*s**3 + 692*s**2 + 1396*s + 700 = 0.
-1, 175
Factor -4*q**4 + 92*q**3 - 624*q**2 + 880*q + 1600.
-4*(q - 10)**2*(q - 4)*(q + 1)
Factor 54655684875*k**3 + 86412150*k**2 + 45540*k + 8.
(3795*k + 2)**3
Determine z, given that 5*z**5 - 10*z**4 - 250*z**3 + 500*z**2 + 245*z - 490 = 0.
-7, -1, 1, 2, 7
Factor -3*f**2 + 75*f.
-3*f*(f - 25)
Factor 2*d**3/15 + 56*d**2/5 - 2*d/15 - 56/5.
2*(d - 1)*(d + 1)*(d + 84)/15
Find s such that -2*s**4 - 10*s**3 - 10*s**2 + 10*s + 12 = 0.
-3, -2, -1, 1
Factor 2*y**3/5 - 64*y**2/5 - 134*y/5 - 68/5.
2*(y - 34)*(y + 1)**2/5
Factor 12*z**4 + 92*z**3 - 32*z**2.
4*z**2*(z + 8)*(3*z - 1)
Factor -5*x**3 - 670*x**2 - 28800*x - 401760.
-5*(x + 36)**2*(x + 62)
Suppose -3*g**5 - 270*g**4 - 1041*g**3 - 774*g**2 = 0. What is g?
-86, -3, -1, 0
Factor 3*s**5/5 + 783*s**4/5 + 15366*s**3 + 674310*s**2 + 11369475*s + 10710375.
3*(s + 1)*(s + 65)**4/5
Suppose -f**4/3 - 46*f**3/3 - 43*f**2/3 + 30*f = 0. What is f?
-45, -2, 0, 1
Factor -c**2/9 + 296*c/9 - 21904/9.
-(c - 148)**2/9
Factor -j**3 - 1695*j**2 - 957675*j - 180362125.
-(j + 565)**3
Solve k**2 + 1880*k + 883600 = 0 for k.
-940
Let -9*j**4 - 2217*j**3 - 7317*j**2 - 6567*j - 1458 = 0. What is j?
-243, -2, -1, -1/3
What is w in -w**4 + 102*w**3 - 2797*w**2 + 9996*w - 9604 = 0?
2, 49
Let 3*r**3 + 1368*r**2 + 157311*r + 309174 = 0. Calculate r.
-227, -2
Let -u**4/5 - 44*u**3/5 - 437*u**2/5 + 1058*u/5 = 0. What is u?
-23, 0, 2
Solve 2*k**3/3 + 38*k**2/3 + 66*k + 54 = 0.
-9, -1
Suppose -2*r**2/17 + 200*r/17 - 5000/17 = 0. What is r?
50
Suppose -4*j**5 - 136*j**4 + 440*j**3 - 160*j**2 - 436*j + 296 = 0. What is j?
-37, -1, 1, 2
Factor z**4/2 + 127*z**3 + 16625*z**2/2 + 31250*z.
z*(z + 4)*(z + 125)**2/2
What is x in -12*x**5 - 32*x**4 + 212*x**3 - 184*x**2 - 80*x + 96 = 0?
-6, -2/3, 1, 2
Factor -5*c**3 - 15*c**2 + 5*c + 15.
-5*(c - 1)*(c + 1)*(c + 3)
Factor a**5 - 29*a**4 + 223*a**3 - 167*a**2 - 224*a + 196.
(a - 14)**2*(a - 1)**2*(a + 1)
Find o, given that o**3 - 190*o**2 - 384*o = 0.
-2, 0, 192
Solve -3*o**3 - 396*o**2 - 1167*o - 774 = 0.
-129, -2, -1
Determine b so that b**2/4 + 35*b/4 - 9 = 0.
-36, 1
Suppose 2*c**3/25 + 2*c**2/25 - 4*c/25 = 0. What is c?
-2, 0, 1
Solve 3*z**3 - 3*z**2 = 0 for z.
0, 1
Factor 10*a**3 - 108*a**2 - 22*a.
2*a*(a - 11)*(5*a + 1)
Solve o**2 - 2832*o - 5668 = 0 for o.
-2, 2834
Factor 4*v**3 + 2160*v**2 + 388800*v + 23328000.
4*(v + 180)**3
Determine d so that -d**5/7 + 8*d**4/7 - 8*d**3/7 - 26*d**2/7 + 9*d/7 + 18/7 = 0.
-1, 1, 3, 6
Factor 2*s**5/15 - 4*s**4/5 + 64*s**2/15.
2*s**2*(s - 4)**2*(s + 2)/15
Factor -4*k**4 - 200*k**3 - 848*k**2 + 2312*k - 1260.
-4*(k - 1)**2*(k + 7)*(k + 45)
Factor 4*s**4 - 32*s**3 + 48*s**2.
4*s**2*(s - 6)*(s - 2)
Factor -5*a**4 + 20*a**3 + 185*a**2 - 200*a.
-5*a*(a - 8)*(a - 1)*(a + 5)
Factor -12*s**3 - 136*s**2.
-4*s**2*(3*s + 34)
Find j such that j**3 + 18*j**2 + 17*j = 0.
-17, -1, 0
Factor -4*b**5 - 126*b**4 - 4329*b**3/4 - 2835*b**2/2 - 2025*b/4.
-b*(b + 15)**2*(4*b + 3)**2/4
Suppose -3*r**3/2 + 225*r**2/4 + 87*r + 117/4 = 0. What is r?
-1, -1/2, 39
Factor h**4 + 7*h**3 + 2*h**2 - 64*h - 96.
(h - 3)*(h + 2)*(h + 4)**2
Determine c, given that -387*c**2/4 - 771*c/4 + 3/2 = 0.
-2, 1/129
Find b, given that 5*b**2 - 2650*b + 351125 = 0.
265
Determine g so that 2*g**3 + 362*g**2/3 - 1804*g/3 + 1040/3 = 0.
-65, 2/3, 4
Find z, given that -48*z**3/7 + 120*z**2/7 + 75*z + 375/7 = 0.
-5/4, 5
Let 9*p**5 - 750*p**4 + 981*p**3 + 252*p**2 - 492*p = 0. Calculate p.
-2/3, 0, 1, 82
Determine q so that -q**5 + 27*q**4 - 255*q**3 + 1009*q**2 - 1680*q + 900 = 0.
1, 3, 10
Factor -4*y**3 + 92*y**2 - 316*y + 228.
-4*(y - 19)*(y - 3)*(y - 1)
Let 3*x**2 - 108*x + 972 = 0. What is x?
18
Determine g, given that -5*g**3 + 50*g**2 - 125*g = 0.
0, 5
Factor -4*l**4 + 124*l**3 + 396*l**2 + 404*l + 136.
-4*(l - 34)*(l + 1)**3
Factor 3*x**3/4 + 3*x**2 - 75*x/4 - 21.
3*(x - 4)*(x + 1)*(x + 7)/4
Factor 2*s**4 - 52*s**3 + 480*s**2 - 1792*s + 2048.
2*(s - 8)**3*(s - 2)
Factor 5*f**2 + 34*f + 48.
(f + 2)*(5*f + 24)
Factor j**3 + 6*j**2 + 3*j - 10.
(j - 1)*(j + 2)*(j + 5)
Factor -a**2/3 - 3*a - 8/3.
-(a + 1)*(a + 8)/3
Find w, given that 2*w**4 + 4*w**3 - 14*w**2 + 8*w = 0.
-4, 0, 1
Factor r**3 + 3679*r**2 + 7355*r + 3677.
(r + 1)**2*(r + 3677)
Factor 3*z**3/2 - 36*z**2 + 234*z - 336.
3*(z - 14)*(z - 8)*(z - 2)/2
What is u in 5*u**3/9 + 2272*u**2/9 + 258553*u/9 + 103058/9 = 0?
-227, -2/5
What is n in -5*n**5 + 75*n**4 - 55*n**3 - 215*n**2 + 60*n + 140 = 0?
-1, 1, 2, 14
Determine v so that 2*v**5/3 - 2*v**4 - 4*v**3 + 16*v**2/3 = 0.
-2, 0, 1, 4
Let 3*c**4/2 - 3*c**3/2 - 84*c**2 - 216*c = 0. Calculate c.
-4, 0, 9
Factor -2*f**4/5 + 32*f**3/5.
-2*f**3*(f - 16)/5
Suppose -o**4/5 + 20*o**3 - 500*o**2 = 0. What is o?
0, 50
Determine o, given that 6*o**5 - 94*o**4 + 432*o**3 - 536*o**2 + 192*o = 0.
0, 2/3, 1, 6, 8
Find q, given that -3*q**3/5 + 9*q**2/5 + 48*q/5 + 36/5 = 0.
-2, -1, 6
Solve 20*t**5 + 368*t**4 - 1136*t**3 - 872*t**2 + 1116*t + 504 = 0.
-21, -1, -2/5, 1, 3
Solve 3*a**5 - 6*a**4 - 12*a**3 + 24*a**2 = 0.
-2, 0, 2
Find c such that -2*c**4 + 26*c**3 - 24*c**2 = 0.
0, 1, 12
Factor 21*r**4 - 153*r**3 + 378*r**2 - 348*r + 72.
3*(r - 3)*(r - 2)**2*(7*r - 2)
What is v in 28*v**2 - 24*v - 4 = 0?
-1/7, 1
Determine r, given that 6*r**2 - 267*r/2 - 279/2 = 0.
-1, 93/4
Factor 5*d**3 - 35*d**2 + 30*d.
5*d*(d - 6)*(d - 1)
Let -4*z**4/3 + 960*z**3 = 0. Calculate z.
0, 720
Solve -i**3 + 20*i**2 - 64*i = 0.
0, 4, 16
Factor -5*i**3 + 425*i**2 + 2220*i + 2700.
-5*(i - 90)*(i + 2)*(i + 3)
Factor 3*a**2 + 87*a + 84.
3*(a + 1)*(a + 28)
Factor v**3/6 + 9*v**2 + 112*v - 784/3.
(v - 2)*(v + 28)**2/6
Factor j**4/2 + 2*j**3 - 13*j**2/2 - 20*j + 24.
(j - 3)*(j - 1)*(j + 4)**2/2
Determine c, given that -8*c**4/5 + 186*c**3/5 - 792*c**2/5 - 3406*c/5 - 2028/5 = 0.
-2, -3/4, 13
Let -5*t**2/3 + 10*t/3 + 280 = 0. Calculate t.
-12, 14
Factor x**4/4 - 3*x**3/2 - 3*x**2/4 + 4*x + 3.
(x - 6)*(x - 2)*(x + 1)**2/4
Determine t, given that -t**5 + 2*t**4 + 6*t**3 - 8*t**2 - 5*t + 6 = 0.
-2, -1, 1, 3
Factor 2*t**4/3 + 10*t**3/3 - 2*t**2/3 - 10*t/3.
2*t*(t - 1)*(t + 1)*(t + 5)/3
Solve 3*t**4 - 21*t**3 - 93*t**2/4 - 6*t = 0.
-1/2, 0, 8
Suppose 4*x**4 - 112*x**3 - 120*x**2 + 112*x + 116 = 0. Calculate x.
-1, 1, 29
Factor 2*i**5 - 10*i**4 - 22*i**3 + 66*i**2 - 36*i.
2*i*(i - 6)*(i - 1)**2*(i + 3)
Suppose -2*t**5/11 - 648*t**4/11 + 2*t**3/11 + 648*t**2/11 = 0. What is t?
-324, -1, 0, 1
Find x such that 14*x**5 - 6*x**4 - 22*x**3 + 6*x**2 + 8*x = 0.
-1, -4/7, 0, 1
What is g in -2*g**3 + 8643*g**2 - 9335520*g - 4669921 = 0?
-1/2, 2161
Factor -x**2 - 1653*x + 1654.
-(x - 1)*(x + 1654)
Factor 4*s**3 - 12*s**2 - 96*s - 112.
4*(s - 7)*(s + 2)**2
Factor -250*r**3 - 150*r**2 - 30*r - 2.
-2*(5*r + 1)**3
What is q in 20*q**2 + 1372*q - 552 = 0?
-69, 2/5
Suppose 4*b**4 + 32*b**3 = 0. What is b?
-8, 0
Factor m**3 - 537*m**2 + 72360*m - 71824.
(m - 268)**2*(m - 1)
Factor -3*x**2/2 + 93*x/2 + 48.