or 3*w**5 + 15*w**4 - 123*w**3 + 249*w**2 - 204*w + 60.
3*(w - 2)*(w - 1)**3*(w + 10)
Suppose 3*j**4/2 - 5*j**3/2 - 11*j**2/2 - 3*j/2 = 0. Calculate j.
-1, -1/3, 0, 3
Determine b, given that 6*b**4 - 279*b**3/2 + 57*b**2/2 + 279*b/2 - 69/2 = 0.
-1, 1/4, 1, 23
Factor 4*l**4 + 72*l**3 + 236*l**2 + 168*l.
4*l*(l + 1)*(l + 3)*(l + 14)
Find m, given that -2*m**2/5 - 91*m/5 - 9 = 0.
-45, -1/2
Let -2*i**5 + 12*i**4 - 22*i**3 + 12*i**2 = 0. Calculate i.
0, 1, 2, 3
Let -f**2/7 - 8*f/7 - 1 = 0. Calculate f.
-7, -1
Factor -2*h**3 - 308*h**2 - 11858*h.
-2*h*(h + 77)**2
Let 2*j**4/3 + 8*j**3/3 - 8*j**2/3 - 32*j/3 = 0. What is j?
-4, -2, 0, 2
Factor -484*a**3 + 880*a**2 + 172*a + 8.
-4*(a - 2)*(11*a + 1)**2
Let -5*s**3/2 - 435*s**2/2 = 0. What is s?
-87, 0
Suppose 3*k**4/2 + 27*k**3/2 - 99*k**2/2 + 105*k/2 - 18 = 0. Calculate k.
-12, 1
Solve -2*d**2/5 + 748*d/5 + 2262/5 = 0.
-3, 377
Let -1173*z**2 - 2352*z - 12 = 0. What is z?
-2, -2/391
Find j, given that -22*j**3/7 - 516*j**2/7 + 1098*j/7 - 80 = 0.
-280/11, 1
Find z such that 5*z**3 + 5*z**2 = 0.
-1, 0
Factor -2*h**2 - 36*h - 34.
-2*(h + 1)*(h + 17)
Determine i so that -10*i**2 - 465*i - 230 = 0.
-46, -1/2
Factor 3*a**2 - 120*a + 117.
3*(a - 39)*(a - 1)
Factor -2*k**4 + 2*k**3 + 18*k**2 + 22*k + 8.
-2*(k - 4)*(k + 1)**3
Factor 3*i**4/5 - 51*i**3/5 - 486*i**2/5 - 432*i/5.
3*i*(i - 24)*(i + 1)*(i + 6)/5
Factor -5*y**3 + 45*y**2 - 70*y.
-5*y*(y - 7)*(y - 2)
What is h in -2*h**5 - 7*h**4 + 10*h**3 + 17*h**2 - 26*h + 8 = 0?
-4, -2, 1/2, 1
Find c, given that 3*c**5 - 84*c**4 + 911*c**3/3 - 384*c**2 + 580*c/3 - 32 = 0.
1/3, 2/3, 1, 2, 24
Find z such that -z**3/2 + 9*z**2/2 - 12*z + 8 = 0.
1, 4
Factor -2*b**3/3 + 10*b**2/3 + 26*b/3 + 14/3.
-2*(b - 7)*(b + 1)**2/3
Factor -4*l**2/3 + 92*l/3 - 168.
-4*(l - 14)*(l - 9)/3
Factor -4*q**4 - 20*q**3 + 84*q**2 - 92*q + 32.
-4*(q - 1)**3*(q + 8)
Factor -l**2 - l.
-l*(l + 1)
Find b, given that -3*b**3 - 1704*b**2 - 5091*b - 3390 = 0.
-565, -2, -1
Solve -4*y**3 - 36*y**2 - 104*y - 96 = 0 for y.
-4, -3, -2
Let -v**5/9 - 2*v**4/9 + 20*v**3/9 + 8*v**2/9 - 128*v/9 + 128/9 = 0. Calculate v.
-4, 2
Determine v so that -v**2/5 - 42*v/5 - 441/5 = 0.
-21
Factor -d**2 + 712*d - 126736.
-(d - 356)**2
Solve 4*m**2 + 11160*m + 11156 = 0.
-2789, -1
Factor 2*r**3/9 + 2*r**2/9.
2*r**2*(r + 1)/9
Factor 2*n**4/5 + 3184*n**3/5 + 1900848*n**2/5 + 504358336*n/5 + 50183654432/5.
2*(n + 398)**4/5
Factor y**3 + 14*y**2 + 65*y + 100.
(y + 4)*(y + 5)**2
Determine f so that -5*f**2/6 + 235*f/3 + 475/6 = 0.
-1, 95
Determine v, given that -18*v**3/7 + 3*v**2 + 18*v/7 - 3 = 0.
-1, 1, 7/6
Find u, given that 2*u**4/3 - 4*u**3/3 - 56*u**2/3 - 92*u/3 - 14 = 0.
-3, -1, 7
Determine n so that 4*n**5 - 4*n**4 - 96*n**3 - 16*n**2 + 640*n + 768 = 0.
-3, -2, 4
Factor d**4 - 3*d**2 + 2*d.
d*(d - 1)**2*(d + 2)
Factor -2*f**4 + 84*f**3 - 234*f**2 - 8*f + 312.
-2*(f - 39)*(f - 2)**2*(f + 1)
Solve 2*m**5/3 + 8*m**4/3 - 4*m**3/3 - 16*m**2/3 + 2*m/3 + 8/3 = 0.
-4, -1, 1
Find r, given that 2*r**3/13 - 132*r**2/13 + 738*r/13 - 1080/13 = 0.
3, 60
What is j in -j**3/3 - 14*j**2/3 - 43*j/3 - 10 = 0?
-10, -3, -1
Let -m**2/3 - 41*m/3 + 462 = 0. What is m?
-63, 22
Factor -u**4 - 4*u**3 + 45*u**2 + 196*u + 196.
-(u - 7)*(u + 2)**2*(u + 7)
Factor -c**5 - 8*c**4 - 24*c**3 - 34*c**2 - 23*c - 6.
-(c + 1)**3*(c + 2)*(c + 3)
Factor 2*d**3 - 8*d.
2*d*(d - 2)*(d + 2)
Factor -2*a**5 + 96*a**4 + 300*a**3 + 304*a**2 + 102*a.
-2*a*(a - 51)*(a + 1)**3
Let -5*s**3 - 3455*s**2 + 3460*s = 0. What is s?
-692, 0, 1
Let -21*a**4 - 55*a**3 + 287*a**2 + 191*a + 30 = 0. Calculate a.
-5, -1/3, -2/7, 3
Determine o, given that -3*o**5 + 66*o**4 - 168*o**3 - 66*o**2 + 171*o = 0.
-1, 0, 1, 3, 19
Suppose 45*o**3 - 1560*o**2 + 9860*o + 67280 = 0. What is o?
-4, 58/3
Determine y, given that -892*y**3 + 4*y**2 + 892*y - 4 = 0.
-1, 1/223, 1
Factor 5*b**3 - 160*b**2 - 1315*b - 1950.
5*(b - 39)*(b + 2)*(b + 5)
Find q such that -4*q**3 - 152*q**2 + 156*q = 0.
-39, 0, 1
Let 3*b**4 + 168*b**3 + 2514*b**2 + 4536*b + 2187 = 0. Calculate b.
-27, -1
Factor 9*b**4 + 48*b**3 - 102*b**2 + 24*b + 21.
3*(b - 1)**2*(b + 7)*(3*b + 1)
Find y such that -2*y**3 - 4*y**2 + 110*y + 112 = 0.
-8, -1, 7
Solve 2*j**4 + 8*j**3 - 120*j**2 = 0 for j.
-10, 0, 6
Suppose -5*k**5 + 165*k**4 - 1680*k**3 + 4900*k**2 = 0. What is k?
0, 5, 14
What is d in -32*d**5/7 - 16*d**4/7 + 1374*d**3/7 + 2034*d**2/7 + 108*d = 0?
-6, -3/4, 0, 7
Determine d, given that 2*d**4/7 + 426*d**3/7 + 1682*d**2/7 + 2094*d/7 + 836/7 = 0.
-209, -2, -1
Factor n**4/6 - n**3/3 - n**2/2 + 4*n/3 - 2/3.
(n - 2)*(n - 1)**2*(n + 2)/6
Suppose -3*c**3/5 - 51*c**2/5 + 54*c/5 = 0. What is c?
-18, 0, 1
Factor 4*y**3 - 16*y**2 + 4*y + 24.
4*(y - 3)*(y - 2)*(y + 1)
Factor 20*d**3 - 378*d**2 + 922*d + 96.
2*(d - 16)*(d - 3)*(10*d + 1)
Find c such that 2*c**3 - 3702*c**2 + 2284134*c - 469770226 = 0.
617
Suppose x**5/4 + 3*x**4/4 - 3*x**3/2 - 2*x**2 = 0. What is x?
-4, -1, 0, 2
Let 5*x**3 + 20*x**2 - 80*x - 320 = 0. Calculate x.
-4, 4
Factor -156*v**3/7 + 88*v**2 - 592*v/7 - 32/7.
-4*(v - 2)**2*(39*v + 2)/7
Suppose -4*q**3 - 12*q**2 + 16*q + 48 = 0. What is q?
-3, -2, 2
Suppose -12*y**4 - 64*y**3 - 96*y**2 + 64 = 0. Calculate y.
-2, 2/3
Determine a, given that 3*a**5/2 + 3*a**4/2 - 30*a**3 = 0.
-5, 0, 4
Find x, given that x**2/4 - 13*x/4 = 0.
0, 13
Solve 2*x**4/5 - 8*x**3/5 - 6*x**2/5 + 4*x + 16/5 = 0.
-1, 2, 4
Factor -3*n**2 + 204*n - 768.
-3*(n - 64)*(n - 4)
Factor 2*k**4 - 2512*k**3 + 798752*k**2 - 6269952*k + 12460032.
2*(k - 624)**2*(k - 4)**2
Factor 6*n**2/5 - 162*n/5.
6*n*(n - 27)/5
Factor i**4/4 - 749*i**3/2 + 559501*i**2/4 + 280875*i + 140625.
(i - 750)**2*(i + 1)**2/4
Let -2*a**5 - 26*a**4 + 6*a**3 + 74*a**2 - 52*a = 0. What is a?
-13, -2, 0, 1
Suppose -z**5 + 106*z**4 + 108*z**3 - 106*z**2 - 107*z = 0. Calculate z.
-1, 0, 1, 107
Solve -3*n**2/8 + 147*n/2 = 0.
0, 196
Factor -3*t**2/2 - 312*t - 16224.
-3*(t + 104)**2/2
Let -h**2/5 - 84*h/5 - 83/5 = 0. Calculate h.
-83, -1
Factor -4*l**3 - 144*l**2 - 528*l - 512.
-4*(l + 2)**2*(l + 32)
Solve p**3/5 - 17*p**2/5 - 106*p/5 - 88/5 = 0 for p.
-4, -1, 22
Solve -q**3 + 221*q**2 = 0 for q.
0, 221
Factor r**2/4 - 5*r/4 - 84.
(r - 21)*(r + 16)/4
Find a such that -6*a**5/11 + 70*a**4/11 + 210*a**3/11 - 190*a**2/11 - 84*a/11 = 0.
-3, -1/3, 0, 1, 14
Suppose m**3/9 - m**2/3 - 10*m/9 + 8/3 = 0. What is m?
-3, 2, 4
Factor 2*z**2/3 - 8588*z/3 + 9219218/3.
2*(z - 2147)**2/3
Let 121*v**5 - 770*v**4 + 268*v**3 - 24*v**2 = 0. What is v?
0, 2/11, 6
Factor -5*t**4 + 20*t**3 + 175*t**2 - 750*t.
-5*t*(t - 5)**2*(t + 6)
Find a such that -3*a**3/2 + 7*a**2/4 - a/4 = 0.
0, 1/6, 1
What is s in 4*s**4 + 312*s**3 - 320*s**2 - 312*s + 316 = 0?
-79, -1, 1
Factor -2*m**2/7 - 46*m/7 - 152/7.
-2*(m + 4)*(m + 19)/7
Factor -5*u**2 - 8655*u - 8650.
-5*(u + 1)*(u + 1730)
Factor -2*r**5/5 + 18*r**4/5 - 48*r**3/5 + 32*r**2/5.
-2*r**2*(r - 4)**2*(r - 1)/5
Find q, given that 3*q**4 + 11*q**3/3 - 34*q**2/3 - 44*q/3 - 8/3 = 0.
-2, -1, -2/9, 2
Solve -3*p**5/2 + 12*p**4 - 30*p**3 + 24*p**2 = 0.
0, 2, 4
Suppose 5*c**3 + 46*c**2 + 136*c + 128 = 0. What is c?
-4, -16/5, -2
Find k, given that -k**2 + 12*k = 0.
0, 12
Suppose -2*i**2/3 + 1810*i/3 - 1808/3 = 0. What is i?
1, 904
Factor 2*x**4/7 - 4*x**3/7 - 22*x**2/7 + 24*x/7 + 72/7.
2*(x - 3)**2*(x + 2)**2/7
Determine f, given that 105*f**5 - 325*f**4 - 90*f**3 + 370*f**2 - 15*f - 45 = 0.
-1, -1/3, 3/7, 1, 3
Factor 3*c**4/5 - 12*c**3/5 + 3*c**2 - 6*c/5.
3*c*(c - 2)*(c - 1)**2/5
Factor -2*r**4 - 18*r**3 - 56*r**2 - 72*r - 32.
-2*(r + 1)*(r + 2)**2*(r + 4)
Factor 12*p**3 + 184*p**2 + 700*p.
4*p*(p + 7)*(3*p + 25)
Let -2*k**3 + 26*k**2 + 8*k - 104 = 0. What is k?
-2, 2, 13
Factor -k**3/2 + 77*k**2/2 + 162*k.
-k*(k - 81)*(k + 4)/2
Let -21*q**5 + 531*q**4 - 1074*q**3 - 10404*q**2 + 14136*q - 3168 = 0. What is q?
-4, 2/7, 1, 6, 22
Find q such that 3*q**5 - 5619*q**4 + 2628285*q**3 + 2633907*q**2 = 0.
-1, 0, 937
Factor 5*w**3/6 + 100*w**2/3 - 320*w.
5*w*(w - 8)*(w + 48)/6
Solve 2*c**3 + 4*c**2 = 0 for c.
-2, 0
Factor o**2/5 - 16*o/5.
o*(o - 16)/5
Factor v**2/4 - 157*v/2 + 24649/4.
(v - 157)**2/4
Solve 2*u**5/17 + 36*u**4/17 + 182*u**3/17 + 324*u**2/17 + 176*u/17 = 0.
-11, -4, -2, -1, 0
Let -4*q**5/15 + 34*q**4/15 + 4*q**3/3 - 6*q**2/5 = 0. What is q?
-1, 0, 1/2, 9
Find y, given that y**