**2/11 + 168*t/11 - 1568/11 = 0.
-14, 4
Determine a so that a**5 - 18*a**4 - 2*a**3 + 36*a**2 + a - 18 = 0.
-1, 1, 18
Factor 3*l**2/5 - 609*l/5 - 612/5.
3*(l - 204)*(l + 1)/5
Find i such that i**5 - 22*i**4/3 + 5*i**3/3 + 14*i**2/3 = 0.
-2/3, 0, 1, 7
Factor -i**3 - 34*i**2 - 364*i - 1176.
-(i + 6)*(i + 14)**2
Factor -3*o**3 - 225*o**2 - 5625*o - 46875.
-3*(o + 25)**3
Factor -2*x**2 + 988*x + 990.
-2*(x - 495)*(x + 1)
Factor 98*x**3 - 182*x**2/3 - 304*x/9 - 32/9.
2*(x - 1)*(21*x + 4)**2/9
Factor 2*u**3/7 + 142*u**2/7 + 246*u/7 - 2070/7.
2*(u - 3)*(u + 5)*(u + 69)/7
Factor 2*q**3/3 - 1456*q**2/3 + 267880*q/3 - 1048352/3.
2*(q - 362)**2*(q - 4)/3
Determine n, given that -n**2/3 + 1045*n/3 - 348 = 0.
1, 1044
What is f in 16*f**3 + 164*f**2 - 136*f - 44 = 0?
-11, -1/4, 1
Factor -5*i**2 - 110*i + 375.
-5*(i - 3)*(i + 25)
Factor k**4/7 - 23*k**3/7 + 141*k**2/7 - 185*k/7 - 50.
(k - 14)*(k - 5)**2*(k + 1)/7
Solve 3*j**5 + 114*j**4 + 504*j**3 + 270*j**2 - 891*j = 0 for j.
-33, -3, 0, 1
Factor i**4 - 12*i**3 + 3*i**2 + 208*i + 192.
(i - 8)**2*(i + 1)*(i + 3)
Suppose 3*p**5 - 98*p**4 - 135*p**3 - 34*p**2 = 0. Calculate p.
-1, -1/3, 0, 34
Find n such that n**4/5 - 2*n**3/5 - 13*n**2/5 - 2*n = 0.
-2, -1, 0, 5
Factor -3*i**2 - 36*i - 105.
-3*(i + 5)*(i + 7)
Find v such that v**3/4 + 2*v**2 + 3*v = 0.
-6, -2, 0
Let -3*s**5/2 - 57*s**4/2 + 69*s**3/2 + 177*s**2/2 - 33*s - 60 = 0. Calculate s.
-20, -1, 1, 2
What is t in 2*t**2/3 + 52*t/3 - 112/3 = 0?
-28, 2
Factor -k**3/5 + 3*k**2 - 47*k/5 - 63/5.
-(k - 9)*(k - 7)*(k + 1)/5
Factor 2*t**3/9 - 628*t**2/9 - 1262*t/9 - 632/9.
2*(t - 316)*(t + 1)**2/9
Factor -36*w**3 + 100*w**2 + 24*w.
-4*w*(w - 3)*(9*w + 2)
Factor -5*n**5 - 70*n**4 - 60*n**3 + 650*n**2 - 815*n + 300.
-5*(n - 1)**3*(n + 5)*(n + 12)
Find a such that -5*a**3 - 100*a**2 - 660*a - 1440 = 0.
-8, -6
Let -3*t**3 - 300*t**2 + 3*t + 300 = 0. Calculate t.
-100, -1, 1
Determine q, given that 5*q**4 + 705*q**3 = 0.
-141, 0
Factor -4*q**5 + 28*q**4 - 32*q**3 - 64*q**2.
-4*q**2*(q - 4)**2*(q + 1)
Suppose -2*v**2 + 266*v + 2860 = 0. What is v?
-10, 143
Find s, given that -266*s**5 + 636*s**4 + 582*s**3 - 296*s**2 + 24*s = 0.
-1, 0, 2/19, 2/7, 3
Let -2*r**2 - 190*r - 900 = 0. Calculate r.
-90, -5
Factor -20*t**5/3 - 36*t**4 - 36*t**3 + 36*t**2.
-4*t**2*(t + 3)**2*(5*t - 3)/3
Solve -5*k**3 - 2145*k**2 - 2140*k = 0.
-428, -1, 0
Factor 3*a**4 + 24*a**3 + 45*a**2 - 24*a - 48.
3*(a - 1)*(a + 1)*(a + 4)**2
Factor -p**3/4 + 6*p**2 - 189*p/4 + 243/2.
-(p - 9)**2*(p - 6)/4
Suppose 4*r**2 - 3196*r - 3200 = 0. What is r?
-1, 800
Factor 2*r**3 + 8*r**2 - 82*r + 72.
2*(r - 4)*(r - 1)*(r + 9)
Factor -4*t**5 - 268*t**4 - 520*t**3 + 8*t**2 + 524*t + 260.
-4*(t - 1)*(t + 1)**3*(t + 65)
What is z in 15*z**4 + 20*z**3 - 20*z**2 = 0?
-2, 0, 2/3
Factor 6*w**3/7 + 23490*w**2/7 + 30654450*w/7 + 13334685750/7.
6*(w + 1305)**3/7
Factor y**5/4 + 9*y**4/2 + 15*y**3 + 14*y**2.
y**2*(y + 2)**2*(y + 14)/4
Factor -4*y**3 - 12*y**2 + 4*y + 12.
-4*(y - 1)*(y + 1)*(y + 3)
Factor 2*f**2/11 - 16*f/11.
2*f*(f - 8)/11
Factor -2*t**3/15 - 16*t**2/5 + 10*t/3.
-2*t*(t - 1)*(t + 25)/15
Suppose t**5 + 21*t**4 - 217*t**3 + 443*t**2 + 216*t - 464 = 0. Calculate t.
-29, -1, 1, 4
Suppose 4*u**2 - 28*u - 32 = 0. Calculate u.
-1, 8
Let -2*o**3 + 148*o**2 - 290*o + 144 = 0. Calculate o.
1, 72
Factor -3*m**3/8 + 573*m**2/8 - 27645*m/8 + 27075/8.
-3*(m - 95)**2*(m - 1)/8
Determine u, given that -2*u**4/3 - 22*u**3/3 - 70*u**2/3 - 50*u/3 = 0.
-5, -1, 0
Factor 4*n**3 - 3096*n**2 + 798768*n - 68694048.
4*(n - 258)**3
Factor l**5 - 18*l**4 - 28*l**3 + 182*l**2 - 213*l + 76.
(l - 19)*(l - 1)**3*(l + 4)
Factor -x**3/5 + 107*x**2/5 - 583*x + 2809/5.
-(x - 53)**2*(x - 1)/5
Let -3*g**3/5 - 69*g**2/5 - 105*g - 1323/5 = 0. Calculate g.
-9, -7
Solve -3*y**5/5 + 9*y**4/5 + 3*y**3/5 - 9*y**2/5 = 0 for y.
-1, 0, 1, 3
Find t, given that -2*t**2/5 - 6204*t/5 - 4811202/5 = 0.
-1551
Suppose -2*d**5 + 494*d**4/7 - 18*d**3 - 494*d**2/7 + 20*d = 0. Calculate d.
-1, 0, 2/7, 1, 35
What is t in -4*t**5 + 76*t**4 + 180*t**3 - 236*t**2 - 352*t + 336 = 0?
-2, 1, 21
Factor 3*s**4 + 87*s**3 + 165*s**2 + 81*s.
3*s*(s + 1)**2*(s + 27)
Determine v so that 1323*v**5 - 7686*v**4 + 10407*v**3 + 2196*v**2 + 108*v = 0.
-2/21, 0, 3
Factor 2*r**3/3 - 52*r**2/3 + 338*r/3.
2*r*(r - 13)**2/3
Factor 12*h**2/5 + 58*h/5 + 8.
2*(h + 4)*(6*h + 5)/5
Factor -3*k**2/7 + 225*k/7 + 66.
-3*(k - 77)*(k + 2)/7
What is j in -4*j**2/3 - 592*j/3 - 21904/3 = 0?
-74
Solve -b**2/4 - b/2 - 1/4 = 0 for b.
-1
What is c in -3*c**4/2 + 183*c**3 - 7380*c**2 + 95817*c + 206763/2 = 0?
-1, 41
Factor 2*s**5/5 - 64*s**4/5 + 66*s**3 - 468*s**2/5.
2*s**2*(s - 26)*(s - 3)**2/5
Find d such that -2*d**3/7 - 2*d**2/7 + 12*d/7 = 0.
-3, 0, 2
Find t, given that 4*t**2 - 3616*t - 3620 = 0.
-1, 905
Let 3*g**5/2 - 33*g**4/2 + 9*g**3/2 + 249*g**2/2 - 204*g + 90 = 0. Calculate g.
-3, 1, 2, 10
Find t, given that 3*t**2/5 + 11646*t/5 - 11649/5 = 0.
-3883, 1
What is g in 5*g**4 - 90*g**3 - 5*g**2 + 90*g = 0?
-1, 0, 1, 18
Factor 2*h**2/7 + 422*h/7 - 1284/7.
2*(h - 3)*(h + 214)/7
Suppose y**2 + 8*y + 16 = 0. Calculate y.
-4
Determine o, given that -o**4/4 + 9*o**3/2 - 73*o**2/4 - 63*o + 392 = 0.
-4, 7, 8
Factor 22*n**2 - 90*n - 100.
2*(n - 5)*(11*n + 10)
Solve 30*c**4 + 95*c**3 + 65*c**2 - 20*c - 20 = 0.
-2, -1, -2/3, 1/2
Determine x so that -5*x**4 + 1135*x**3 - 64975*x**2 + 63845*x = 0.
0, 1, 113
Determine c, given that 2*c**4/3 + 82*c**3 + 7436*c**2/3 - 2728*c - 15376/3 = 0.
-62, -1, 2
Factor 2*r**3/3 + 14*r**2/3 - 16*r/3.
2*r*(r - 1)*(r + 8)/3
Factor 2*m**4/15 + 64*m**3/15 + 130*m**2/3 + 676*m/5.
2*m*(m + 6)*(m + 13)**2/15
Solve 4*c**2 + 128*c - 132 = 0 for c.
-33, 1
Suppose -6*m**3 + 236*m**2 - 74*m - 156 = 0. What is m?
-2/3, 1, 39
Solve 2*o**5/3 - 20*o**4/3 + 64*o**3/3 - 52*o**2/3 - 22*o + 24 = 0.
-1, 1, 3, 4
Let 15*o**5 - 55*o**4 - 35*o**3 + 55*o**2 + 20*o = 0. Calculate o.
-1, -1/3, 0, 1, 4
Factor k**2/5 - 29*k/5 + 54/5.
(k - 27)*(k - 2)/5
Determine v so that 2*v**2/9 - 640*v/3 + 51200 = 0.
480
What is j in -20*j**2 - 824*j + 672 = 0?
-42, 4/5
Factor -4*w**4 + 144*w**2.
-4*w**2*(w - 6)*(w + 6)
Factor -5*d**4 + 25*d**3 + 140*d**2 - 160*d.
-5*d*(d - 8)*(d - 1)*(d + 4)
Find f, given that f**5/5 + 12*f**4/5 - 3*f**3/5 - 34*f**2/5 + 24*f/5 = 0.
-12, -2, 0, 1
Factor 5*t**3 - 160*t**2 + 1425*t - 2250.
5*(t - 15)**2*(t - 2)
Solve -3*b**3/4 - 453*b**2/4 + 114*b = 0.
-152, 0, 1
Solve -5*s**2 - 2350*s - 2345 = 0 for s.
-469, -1
Factor 2*n**3/9 - 130*n**2 + 25350*n - 1647750.
2*(n - 195)**3/9
Find r, given that 2*r**5/15 + 68*r**4/15 - 296*r**3/15 + 304*r**2/15 = 0.
-38, 0, 2
Factor 4*u**3 + 16*u**2.
4*u**2*(u + 4)
Factor 5*l**5 - 125*l**4 - 405*l**3 - 415*l**2 - 140*l.
5*l*(l - 28)*(l + 1)**3
Determine v so that -2*v**5/3 - 2*v**4/3 + 6*v**3 + 2*v**2/3 - 40*v/3 + 8 = 0.
-3, -2, 1, 2
Determine v so that -4*v**4 - 20*v**3 - 33*v**2 - 20*v - 4 = 0.
-2, -1/2
Let -p**5/2 + 27*p**4/2 - 108*p**3 + 270*p**2 = 0. What is p?
0, 6, 15
Factor 5*b**4 - 30*b**3 + 55*b**2 - 30*b.
5*b*(b - 3)*(b - 2)*(b - 1)
Factor 2*x**3/15 + 2*x**2/15 - 8*x/5.
2*x*(x - 3)*(x + 4)/15
Let 2*o**3/3 - 38*o**2/3 - 2*o/3 + 38/3 = 0. Calculate o.
-1, 1, 19
Factor f**3/7 - 17*f**2/7 + 2*f + 32/7.
(f - 16)*(f - 2)*(f + 1)/7
Factor n**4/2 - 11*n**3/2 + 35*n**2/2 - 25*n/2.
n*(n - 5)**2*(n - 1)/2
Suppose -b**2/3 - 4*b/3 - 1 = 0. Calculate b.
-3, -1
Factor 2*w**3/5 + 468*w**2/5 + 1848*w/5 + 368.
2*(w + 2)**2*(w + 230)/5
Let -l**5 - 139*l**4/4 - 1681*l**3/4 - 7799*l**2/4 - 8591*l/4 + 1331/2 = 0. Calculate l.
-11, -2, 1/4
Let -2*t**5/3 + 50*t**4/3 - 84*t**3 + 472*t**2/3 - 304*t/3 = 0. Calculate t.
0, 2, 19
Determine q, given that -2*q**2/3 - 220*q/3 - 606 = 0.
-101, -9
Factor -2*r**2 - 246*r - 244.
-2*(r + 1)*(r + 122)
Factor 4*b**3/9 + 2*b**2/3 - 2*b/3 - 4/9.
2*(b - 1)*(b + 2)*(2*b + 1)/9
Factor 5*k**3/4 - 45*k**2/2 + 85*k/4.
5*k*(k - 17)*(k - 1)/4
Let -2*w**4/17 - 8*w**3/17 + 32*w**2/17 + 32*w/17 - 96/17 = 0. What is w?
-6, -2, 2
Factor 18*v**3 - 363*v**2 + 1125*v + 1200.
3*(v - 16)*(v - 5)*(6*v + 5)
Solve -3*h**4 - 147*h**3 + 675*h**2 + 72975*h - 73500 = 0.
-35, 1, 20
Factor -u**2/4 - 7*u/4 + 9/2.
-(u - 2)*(u + 9)/4
Suppose 3*m**2 + 25194*m + 52894803 = 0. Calculate m.
-4199
Factor -2*m**3/5 + 366*m**2/5 - 3312*m - 16928/5.
-2*(m - 92)**2*(m + 1)