w**5/2 + 4*w**4 + 7*w**3/2.
w**3*(w + 1)*(w + 7)/2
Determine v, given that -9*v**5 + 30*v**4 + 78*v**3 - 69*v - 30 = 0.
-1, -2/3, 1, 5
Solve 4*p**3/9 + 40*p**2/9 + 32*p/3 = 0 for p.
-6, -4, 0
Let -s**5 + 8*s**4/3 - 4*s**3/3 = 0. What is s?
0, 2/3, 2
Factor 2*c**4/7 + 4*c**3/7 - 16*c**2/7.
2*c**2*(c - 2)*(c + 4)/7
Suppose -3*b**5/8 - 39*b**4/8 - 147*b**3/8 - 237*b**2/8 - 87*b/4 - 6 = 0. What is b?
-8, -2, -1
Factor 5*j**2 - 70*j + 65.
5*(j - 13)*(j - 1)
Factor -5*u**2 + 360*u + 365.
-5*(u - 73)*(u + 1)
Find z, given that 3*z**3 - 6*z**2 - 24*z = 0.
-2, 0, 4
Factor 675*x**2/4 + 180*x + 48.
3*(15*x + 8)**2/4
Factor -h**3/4 + 11*h**2/4 - 8*h + 7.
-(h - 7)*(h - 2)**2/4
Suppose -25*a**3 - 85*a**2 + 70*a + 40 = 0. Calculate a.
-4, -2/5, 1
Suppose 20*l**2 + 5*l = 0. Calculate l.
-1/4, 0
Let -170*p**5 - 336*p**4 + 614*p**3/5 + 276*p**2 + 488*p/5 + 48/5 = 0. Calculate p.
-2, -2/5, -3/17, 1
Factor -n**4 + n**3 + 18*n**2 - 52*n + 40.
-(n - 2)**3*(n + 5)
Solve -2*f**3/3 + 2*f**2/3 = 0.
0, 1
Determine z, given that 3*z**3 - 345*z**2 + 342*z = 0.
0, 1, 114
Solve -3*y**4/4 + 87*y**3/4 - 225*y**2/2 + 213*y - 138 = 0 for y.
2, 23
Factor -4*g**2 + 16.
-4*(g - 2)*(g + 2)
Factor 4*s**3/3 - 1708*s**2/3 - 3452*s - 5196.
4*(s - 433)*(s + 3)**2/3
Let -3*u**2 - 48*u + 51 = 0. What is u?
-17, 1
Find z such that -98*z**5 - 350*z**4 - 372*z**3 - 136*z**2 - 16*z = 0.
-2, -1, -2/7, 0
Solve 20*p**4 + 415*p**3 + 1615*p**2 + 1490*p - 480 = 0.
-16, -3, -2, 1/4
Suppose 5*h**3 - 330*h**2 - 2925*h - 2590 = 0. Calculate h.
-7, -1, 74
Find l such that -l**5/10 + l**4 + 13*l**3/10 - 11*l**2/5 = 0.
-2, 0, 1, 11
Factor 3*f**5 + 102*f**4 + 192*f**3 - 6*f**2 - 195*f - 96.
3*(f - 1)*(f + 1)**3*(f + 32)
Find l such that 5*l**5 - 40*l**4 + 75*l**3 + 20*l**2 - 100*l = 0.
-1, 0, 2, 5
Determine q so that 3*q**4 - 16*q**3 + 13*q**2 = 0.
0, 1, 13/3
Determine y so that -4*y**5 - 228*y**4 - 3560*y**3 - 8520*y**2 + 3564*y + 8748 = 0.
-27, -3, -1, 1
Factor -g**3/2 - 5*g**2/2.
-g**2*(g + 5)/2
Suppose -d**5 - 5*d**4 + 6*d**3 = 0. Calculate d.
-6, 0, 1
Find l such that l**4/5 - 2*l**3 - 27*l**2/5 + 32*l + 176/5 = 0.
-4, -1, 4, 11
Find a, given that -30*a**2/7 + 24*a/7 = 0.
0, 4/5
What is x in 18*x**4 - 86*x**3 + 124*x**2 - 40*x - 16 = 0?
-2/9, 1, 2
Determine f so that 507*f**2/2 + 39*f/2 + 3/8 = 0.
-1/26
Solve -33*v**5 - 9300*v**4 - 654381*v**3 + 119286*v**2 = 0 for v.
-141, 0, 2/11
Let -2*n**2/17 + 16*n/17 - 30/17 = 0. Calculate n.
3, 5
Suppose -4*j**2 - 240*j - 236 = 0. What is j?
-59, -1
Factor 33*a**3/7 - 60*a**2/7 - 111*a/7 - 18/7.
3*(a - 3)*(a + 1)*(11*a + 2)/7
Let 2*v**5 + 14*v**4 + 12*v**3 = 0. What is v?
-6, -1, 0
Factor 3*c**3/7 - 981*c**2/7 + 106929*c/7 - 3885087/7.
3*(c - 109)**3/7
Factor -25*j**3/2 - 123*j**2/2 + 5*j.
-j*(j + 5)*(25*j - 2)/2
Factor -2*w**2 + 113*w - 165.
-(w - 55)*(2*w - 3)
Factor 4*z**3/7 + 3888*z**2/7.
4*z**2*(z + 972)/7
Factor 2*h**3/7 - 6*h**2/7 - 2*h/7 + 6/7.
2*(h - 3)*(h - 1)*(h + 1)/7
Find v, given that -4*v**2 + 1284*v - 1280 = 0.
1, 320
Factor -w**2/2 - 473*w/2 - 705.
-(w + 3)*(w + 470)/2
Let -v**2/6 - 175*v/3 - 30625/6 = 0. What is v?
-175
Solve 8*r**3 + 297*r**2 + 37*r = 0 for r.
-37, -1/8, 0
Let -3*a**4/4 - 123*a**3/4 - 30*a**2 = 0. What is a?
-40, -1, 0
Find d such that -d**2 + 53*d + 110 = 0.
-2, 55
Find h such that -5*h**3 - 125*h**2 + 5*h + 125 = 0.
-25, -1, 1
Factor -2*d**3 + 616*d**2 - 2440*d + 2432.
-2*(d - 304)*(d - 2)**2
Solve -50*k**3/3 - 2140*k**2/3 - 1688*k/3 - 112 = 0 for k.
-42, -2/5
Determine l, given that -2*l**5/9 + 20*l**4/3 - 6*l**3 - 116*l**2/9 = 0.
-1, 0, 2, 29
Determine h, given that 3*h**2 + 9*h - 912 = 0.
-19, 16
Let -2*c**3/9 - 104*c**2/9 + 1118*c/9 + 1220/9 = 0. What is c?
-61, -1, 10
Factor -4*z**4 - 44*z**3 - 88*z**2 + 240*z + 288.
-4*(z - 2)*(z + 1)*(z + 6)**2
Find r, given that -r**5/6 - 2*r**4/3 + 5*r**3/2 + 5*r**2/3 - 22*r/3 + 4 = 0.
-6, -2, 1, 2
Solve -3*f**2 - 441*f - 1296 = 0 for f.
-144, -3
Solve n**2 - 6*n + 8 = 0.
2, 4
Factor 1528835*z**3 + 785840*z**2 - 48900*z + 720.
5*(7*z + 4)*(209*z - 6)**2
Let 28*h**5 - 412*h**4 - 2696*h**3 - 5104*h**2 - 3488*h - 640 = 0. What is h?
-2, -1, -2/7, 20
Solve -3*y**3/2 + 59*y**2/2 - 124*y + 70 = 0.
2/3, 5, 14
Let -19*a**2/11 + 30*a/11 - 1 = 0. What is a?
11/19, 1
Factor 2*s**5 - 90*s**4 + 1540*s**3 - 12100*s**2 + 39930*s - 29282.
2*(s - 11)**4*(s - 1)
Determine w so that 5*w**5 + 20*w**4 - 55*w**3 + 30*w**2 = 0.
-6, 0, 1
Solve -13*p**4 + 64*p**3 + 122*p**2 - 576*p - 45 = 0.
-3, -1/13, 3, 5
Factor 21*f**3/2 - 363*f**2/4 + 255*f/2 - 189/4.
3*(f - 7)*(f - 1)*(14*f - 9)/4
Factor 25*k**3 + 90*k**2 + 105*k + 40.
5*(k + 1)**2*(5*k + 8)
Factor 16*n**4 + 328*n**3 - 519*n**2 + 197*n - 22.
(n - 1)*(n + 22)*(4*n - 1)**2
Let -10*c**2/3 + 38*c - 44/3 = 0. What is c?
2/5, 11
Let 3*a**3 - 30*a**2 + 69*a - 42 = 0. What is a?
1, 2, 7
Factor 2*f**3 - 8*f**2 - 10*f.
2*f*(f - 5)*(f + 1)
Factor 5*p**5 - 15*p**3 - 10*p**2.
5*p**2*(p - 2)*(p + 1)**2
Factor -2*w**2 + 44*w - 170.
-2*(w - 17)*(w - 5)
Find a, given that -40*a**3/7 + 6*a**2/7 + 28*a + 48/7 = 0.
-2, -1/4, 12/5
Factor -2*l**4/7 - 2*l**3/7 + 8*l**2/7 + 8*l/7.
-2*l*(l - 2)*(l + 1)*(l + 2)/7
Solve -a**2/4 - 7*a - 147/4 = 0.
-21, -7
Factor -j**3 - 196*j**2 - 9604*j.
-j*(j + 98)**2
Factor 4*c**3 - 8*c**2 - 256*c - 640.
4*(c - 10)*(c + 4)**2
Factor -2*z**2 + 1340*z + 1342.
-2*(z - 671)*(z + 1)
Factor -4*b**4 - 52*b**3 - 48*b**2.
-4*b**2*(b + 1)*(b + 12)
Factor -2*u**5/9 - 16*u**4/9 - 8*u**3/3.
-2*u**3*(u + 2)*(u + 6)/9
What is h in -2*h**3/7 + 8*h**2/7 + 24*h/7 = 0?
-2, 0, 6
Factor -r**3 - 20*r**2 + 147*r - 234.
-(r - 3)**2*(r + 26)
Let -2*v**5/5 - 4*v**4 - 58*v**3/5 - 64*v**2/5 - 24*v/5 = 0. What is v?
-6, -2, -1, 0
Let -u**4/5 + 11*u**3/5 - u**2 - 47*u/5 - 6 = 0. Calculate u.
-1, 3, 10
Solve 18*y**4 - 131*y**3 - 111*y**2 + 54*y + 16 = 0.
-1, -2/9, 1/2, 8
Factor 5*p**3 + 37*p**2 + 44*p + 12.
(p + 1)*(p + 6)*(5*p + 2)
Solve -507*l**4/7 - 1443*l**3/7 - 783*l**2/7 + 21*l - 6/7 = 0.
-2, -1, 1/13
Factor 5*c**5 + 5*c**4 - 5*c**3 - 5*c**2.
5*c**2*(c - 1)*(c + 1)**2
Determine r, given that 6*r**4/5 - 211*r**3/5 + 1763*r**2/5 + 1656*r/5 - 324/5 = 0.
-1, 1/6, 18
Factor 5*g**3 + 70*g**2 + 125*g + 60.
5*(g + 1)**2*(g + 12)
Find m, given that m**2/7 + 3*m + 38/7 = 0.
-19, -2
Factor -m**2 - 71*m + 72.
-(m - 1)*(m + 72)
Factor 4*j**5 - 24*j**4 + 36*j**3 + 16*j**2 - 48*j.
4*j*(j - 3)*(j - 2)**2*(j + 1)
Factor -4*k**3/3 + 160*k**2/3 - 208*k/3 - 10816.
-4*(k - 26)**2*(k + 12)/3
Let 2*m**5/7 - 26*m**3/7 + 24*m**2/7 = 0. What is m?
-4, 0, 1, 3
Suppose -2*m**3 - 66*m**2 + 72*m + 136 = 0. Calculate m.
-34, -1, 2
Suppose -5*k**4 + 885*k**3 - 7695*k**2 + 22815*k - 22680 = 0. Calculate k.
3, 168
Suppose 4*b**4 + 160*b**3 - 1704*b**2 + 2912*b - 1372 = 0. What is b?
-49, 1, 7
Find y such that 16*y**4 + 40*y**3 - 471*y**2 + 227*y - 28 = 0.
-7, 1/4, 4
Find b, given that -b**5 + 7*b**4 + 11*b**3 - 23*b**2 - 10*b + 16 = 0.
-2, -1, 1, 8
Factor z**2/9 - 14494*z/9 + 52519009/9.
(z - 7247)**2/9
Factor 3*n**2/8 + 255*n/8 + 2301/4.
3*(n + 26)*(n + 59)/8
Determine f, given that f**2/4 + 27*f/4 - 29/2 = 0.
-29, 2
Determine n, given that -4*n**2 + 316*n + 1680 = 0.
-5, 84
Factor -2*k**3/3 + 6*k**2/5 + 4*k/15.
-2*k*(k - 2)*(5*k + 1)/15
Factor 3*w**5 - 504*w**4 + 1467*w**3 + 3054*w**2 - 13932*w + 11880.
3*(w - 165)*(w - 2)**3*(w + 3)
Determine w, given that -w**2 - 10*w + 75 = 0.
-15, 5
Factor 112*s**2 - 124*s + 12.
4*(s - 1)*(28*s - 3)
Factor -o**3/3 + 11*o**2/3 + o/3 - 11/3.
-(o - 11)*(o - 1)*(o + 1)/3
Factor 3*x**4/5 - 12*x**3/5 + 3*x**2 - 6*x/5.
3*x*(x - 2)*(x - 1)**2/5
Factor -384*x**3 - 7344*x**2 - 46818*x - 397953/4.
-3*(8*x + 51)**3/4
Let -z**3/4 + 3*z**2 + 13*z/4 = 0. What is z?
-1, 0, 13
Suppose 20*n**4 - 255*n**3 + 215*n**2 + 1830*n + 440 = 0. What is n?
-2, -1/4, 4, 11
Suppose l**4 - 4*l**3 + 4*l**2 = 0. What is l?
0, 2
Suppose -8*r**4/13 - 82*r**3/13 - 220*r**2/13 - 50*r/13 = 0. What is r?
-5, -1/4, 0
Factor -15*m**3/8 - 19*m**2 - 335*m/8 - 21/4.
-(m + 3)*(m + 7)*(15*m + 2)/8
Find x, given that -35*x**3 - 85*x**2 - 10*x + 40 = 0.
-2, -1, 4/7
Factor m**3/4 + 13*m**2/2 - 27*m/4.
m*(m - 1)*(m + 27)/4
Suppose -3*x**2/5 + 183*x/5 = 0. What is x?
0, 61
Find u such that u**5/3 + 2*u**4 - 5*u**3 + 8*u**2/3 = 0.
-8, 0, 1
Suppose -107811*l**4 - 117612*l**3 - 10098*l**2 - 300*l - 3 = 0. What