6
Determine a so that -a**4/4 + 19*a**3/2 - 84*a**2 = 0.
0, 14, 24
What is t in 2*t**4/13 + 1518*t**3/13 + 4542*t**2/13 + 4538*t/13 + 1512/13 = 0?
-756, -1
Factor -h**4/2 + 8*h**3 + 151*h**2/2 + 115*h.
-h*(h - 23)*(h + 2)*(h + 5)/2
Find u, given that -u**4/3 + 4*u**3/3 + 3*u**2 - 12*u = 0.
-3, 0, 3, 4
Let 240*g**3 + 305*g**2 - 340*g + 20 = 0. What is g?
-2, 1/16, 2/3
What is f in -f**2/8 - 61*f/8 - 429/4 = 0?
-39, -22
Factor g**2/6 - 7*g/6.
g*(g - 7)/6
Determine y so that -4*y**4 - 572*y**3 - 27636*y**2 - 468308*y - 830584 = 0.
-47, -2
Solve 20*n**3 - 180*n**2 - 105*n + 95 = 0 for n.
-1, 1/2, 19/2
Determine n, given that 2*n**3 + 8*n**2 - 38*n + 28 = 0.
-7, 1, 2
Factor t**3/3 - 11*t**2/3 + 19*t/3 - 3.
(t - 9)*(t - 1)**2/3
Let 75*y**4 - 85*y**3 - 2245*y**2 + 305*y + 150 = 0. What is y?
-5, -1/5, 1/3, 6
Find o such that -2*o**5/3 + 26*o**4/3 - 20*o**3 - 244*o**2/3 + 574*o/3 - 98 = 0.
-3, 1, 7
Factor -308*x**4/5 - 186*x**3 - 942*x**2/5 - 326*x/5 - 6/5.
-2*(x + 1)**3*(154*x + 3)/5
Solve -5*w**4 + 865*w**3 + 5325*w**2 + 8055*w = 0.
-3, 0, 179
Find o, given that -3*o**5/7 - 324*o**4/7 + 990*o**3/7 - 996*o**2/7 + 333*o/7 = 0.
-111, 0, 1
Let -2*d**2/17 + 322*d/17 - 320/17 = 0. What is d?
1, 160
Find f such that 4*f**3 - 1364*f**2 - 4*f + 1364 = 0.
-1, 1, 341
Factor 2*f**3/13 - 58*f**2/13 - 18*f/13 + 522/13.
2*(f - 29)*(f - 3)*(f + 3)/13
Find l, given that 2*l**3/5 - 498*l**2/5 - 100*l = 0.
-1, 0, 250
Factor -2*y**5 - 6*y**4 + 2*y**3 + 22*y**2 + 24*y + 8.
-2*(y - 2)*(y + 1)**3*(y + 2)
Factor -k**3/12 + 3*k**2/4 + 5*k/6.
-k*(k - 10)*(k + 1)/12
Factor -24*y**2 - 172*y/7 - 4/7.
-4*(y + 1)*(42*y + 1)/7
Factor w**3/2 - 5*w**2 + 33*w/2 - 18.
(w - 4)*(w - 3)**2/2
Factor 21*g**3 + 201*g**2 + 246*g - 144.
3*(g + 2)*(g + 8)*(7*g - 3)
Solve 2*f**2/11 + 34*f/11 + 120/11 = 0.
-12, -5
Factor g**2 + 2972*g + 2971.
(g + 1)*(g + 2971)
Factor 2*g**4/13 + 6*g**3/13 - 476*g**2/13.
2*g**2*(g - 14)*(g + 17)/13
Factor z**5 - 84*z**4.
z**4*(z - 84)
Factor 27*u**5 - 90*u**4 + 39*u**3 + 60*u**2 + 12*u.
3*u*(u - 2)**2*(3*u + 1)**2
Factor 2*a**2 - 48*a - 3584.
2*(a - 56)*(a + 32)
Factor 5*l**4 - 375*l**3 + 3335*l**2 - 5565*l + 2600.
5*(l - 65)*(l - 8)*(l - 1)**2
Find f, given that -21*f**3/8 + 87*f**2/8 - 75*f/8 + 9/8 = 0.
1/7, 1, 3
Factor 5*f**2 + 478*f - 192.
(f + 96)*(5*f - 2)
Let -3*z**3/4 + 3*z**2/4 + 3*z/4 - 3/4 = 0. Calculate z.
-1, 1
Factor c**5 + 6*c**4 - 3*c**3 - 16*c**2 + 12*c.
c*(c - 1)**2*(c + 2)*(c + 6)
Factor 4*n**2/5 + 28*n + 384/5.
4*(n + 3)*(n + 32)/5
Factor 10*s**4/7 - 608*s**3/7 + 1692*s**2 - 9072*s - 29106.
2*(s - 21)**3*(5*s + 11)/7
Factor -2*o**2/3 - 382*o/3 - 376.
-2*(o + 3)*(o + 188)/3
Factor -l**3/3 + 26*l**2/3 + l/3 - 26/3.
-(l - 26)*(l - 1)*(l + 1)/3
Factor -2*q**2 - 42*q - 76.
-2*(q + 2)*(q + 19)
Factor -3*p**4/8 - 9*p**3/4.
-3*p**3*(p + 6)/8
Factor -z**5 - 13*z**4/5 + 6*z**3/5.
-z**3*(z + 3)*(5*z - 2)/5
Let 2*f**3/7 + 52*f**2/7 - 16*f = 0. Calculate f.
-28, 0, 2
Determine r, given that -r**4/2 + 7*r**3/2 - 7*r**2 + 4*r = 0.
0, 1, 2, 4
Determine q, given that -4*q**3 - 1944*q**2 - 240036*q - 929296 = 0.
-241, -4
What is l in l**3 - 135*l**2 - 1425*l - 3625 = 0?
-5, 145
Factor u**4/3 + 35*u**3/3 - u**2/3 - 35*u/3.
u*(u - 1)*(u + 1)*(u + 35)/3
Find v, given that 2*v**2/13 - 740*v/13 + 68450/13 = 0.
185
What is v in -2*v**3/7 - 162*v**2/7 - 3198*v/7 + 3362/7 = 0?
-41, 1
Factor -84*h**3 + 236*h**2 - 120*h - 32.
-4*(h - 2)*(h - 1)*(21*h + 4)
Factor -k**2/3 - 14*k/3 - 8.
-(k + 2)*(k + 12)/3
Factor -4*i**4 + 120*i**3 - 468*i**2 - 6480*i - 11664.
-4*(i - 18)**2*(i + 3)**2
Find v such that -v**4 - 41*v**3 + 42*v**2 = 0.
-42, 0, 1
Factor 4*b**2 - 20*b + 24.
4*(b - 3)*(b - 2)
Suppose 6*r**5 + 268*r**4 + 506*r**3/3 - 976*r**2/3 - 344*r/3 + 352/3 = 0. Calculate r.
-44, -1, 2/3
Factor o**5/4 - 173*o**4/4 + 43*o**3.
o**3*(o - 172)*(o - 1)/4
Factor -9*s**3/4 + s**2/4 + 25*s/4 - 17/4.
-(s - 1)**2*(9*s + 17)/4
Suppose -2*x**5 - 38*x**4 - 98*x**3 - 26*x**2 + 100*x + 64 = 0. Calculate x.
-16, -2, -1, 1
Factor g**3/3 + 190*g**2 + 27264*g + 161312/3.
(g + 2)*(g + 284)**2/3
Factor 12*k**5/5 + 324*k**4/5 - 333*k**3/5 + 84*k**2/5.
3*k**2*(k + 28)*(2*k - 1)**2/5
Determine i, given that -i**2 + 37*i + 38 = 0.
-1, 38
Solve 26*h**5/3 - 62*h**4 + 418*h**3/3 - 98*h**2 + 12*h = 0.
0, 2/13, 1, 3
Factor -5*g**2 - 90*g - 160.
-5*(g + 2)*(g + 16)
Determine p, given that 5*p**5 + 90*p**4 + 520*p**3 + 1360*p**2 + 1680*p + 800 = 0.
-10, -2
Determine h, given that 48*h**5 - 408*h**4 - 213*h**3 + 5157*h**2 + 2592*h + 324 = 0.
-3, -1/4, 6
Factor -3*s**3/5 - 132*s**2/5 - 129*s/5.
-3*s*(s + 1)*(s + 43)/5
Factor 2*q**3/9 + 28*q**2/9 + 82*q/9 - 112/9.
2*(q - 1)*(q + 7)*(q + 8)/9
Factor 7*m**5 + 4*m**4 - 17*m**3 + 6*m**2.
m**2*(m - 1)*(m + 2)*(7*m - 3)
What is k in 2*k**5/13 - 6*k**4/13 - 70*k**3/13 + 126*k**2/13 + 428*k/13 + 240/13 = 0?
-5, -1, 4, 6
Factor 87*m**4/4 - 1695*m**3/2 + 10998*m**2 - 94809*m/2 - 6591/4.
3*(m - 13)**3*(29*m + 1)/4
Factor 3*h**2/4 + h/2 - 2.
(h + 2)*(3*h - 4)/4
Solve -5*x**2/6 - 200*x - 1190/3 = 0.
-238, -2
Solve 15*j**4 + 25*j**3 + 5*j**2 - 5*j = 0.
-1, 0, 1/3
Solve -12*w**3/7 - 3459*w**2/7 - 864*w/7 = 0 for w.
-288, -1/4, 0
Suppose q**5 + 5*q**4 + 8*q**3 + 4*q**2 = 0. What is q?
-2, -1, 0
Solve -o**2 - 62*o - 61 = 0.
-61, -1
Let -5*p**2/2 - 137*p/2 - 27 = 0. What is p?
-27, -2/5
Solve -5*o**4/4 + 705*o**3/4 + 715*o**2/4 - 705*o/4 - 355/2 = 0.
-1, 1, 142
Suppose 16*r**3 + 236*r**2/7 + 24*r/7 = 0. What is r?
-2, -3/28, 0
Solve 4*j**4 + 332*j**3 + 7660*j**2 + 31668*j + 24336 = 0 for j.
-39, -4, -1
Determine f so that -2*f**2/3 - 198*f - 592/3 = 0.
-296, -1
Factor 10*z**3/3 + 124*z**2/3 + 302*z/3 + 188/3.
2*(z + 1)*(z + 2)*(5*z + 47)/3
Factor -2*g**5/21 - 10*g**4/21 - 20*g**3/21 - 20*g**2/21 - 10*g/21 - 2/21.
-2*(g + 1)**5/21
Determine d, given that -9*d**5 + 21*d**4 + 18*d**3 - 36*d**2 - 24*d = 0.
-1, -2/3, 0, 2
Find n, given that n**4/3 - n**3/3 - n**2/3 + n/3 = 0.
-1, 0, 1
Factor t**2/5 - 2*t.
t*(t - 10)/5
Let -2*n**4/3 - 2*n**3/3 + 8*n**2 - 8*n/3 - 32/3 = 0. What is n?
-4, -1, 2
Let -4*o**5 + 64*o**4 - 60*o**3 = 0. Calculate o.
0, 1, 15
Determine n, given that -5*n**3 - 4360*n**2 + 8740*n = 0.
-874, 0, 2
Factor 2*m**5/7 + 52*m**4/7 + 516*m**3/7 + 344*m**2 + 742*m + 588.
2*(m + 2)*(m + 3)*(m + 7)**3/7
Solve 2*x**3/9 - 2*x = 0 for x.
-3, 0, 3
Solve -2187*x**4/5 - 7371*x**3 - 86358*x**2/5 + 13404*x/5 - 504/5 = 0 for x.
-14, -3, 2/27
Suppose 11*n**3 + 9*n**2 - 20*n = 0. What is n?
-20/11, 0, 1
What is a in 2*a**5 + 6*a**4 - 10*a**3 - 30*a**2 + 8*a + 24 = 0?
-3, -2, -1, 1, 2
Let 4*z**2 - 192*z - 3172 = 0. What is z?
-13, 61
Solve -f**5 + 4*f**3 + 2*f**2 - 3*f - 2 = 0 for f.
-1, 1, 2
Determine b, given that -32*b**3/9 + 20*b**2 - 292*b/9 + 40/3 = 0.
5/8, 2, 3
Determine d, given that -2*d**3 + 162*d**2 - 1728*d - 69120 = 0.
-15, 48
Factor -4*v**4 - 16*v**3 + 12*v**2 + 40*v - 32.
-4*(v - 1)**2*(v + 2)*(v + 4)
What is h in 4*h**4 + 4*h**3 - 76*h**2 - 196*h - 120 = 0?
-3, -2, -1, 5
Solve n**2/2 - 800*n + 320000 = 0 for n.
800
Solve -2*o**4/9 + 488*o**3/9 - 968*o**2/9 = 0 for o.
0, 2, 242
Factor -10*u**2 + 152*u.
-2*u*(5*u - 76)
Let 8*y**5 - 109*y**4/2 + 59*y**3/2 + 127*y**2/2 - 75*y/2 - 9 = 0. Calculate y.
-1, -3/16, 1, 6
Find h, given that -h**4/5 - 13*h**3/5 - 48*h**2/5 - 36*h/5 = 0.
-6, -1, 0
Factor -5*s**2/2 + 1977*s/2 - 395.
-(s - 395)*(5*s - 2)/2
Factor 2*f**2 + 900*f + 101250.
2*(f + 225)**2
Let u**4/2 - 55*u**3 + 1398*u**2 + 6327*u + 9747/2 = 0. What is u?
-3, -1, 57
Factor h**4 - 77*h**3 + 1593*h**2 - 4255*h + 2738.
(h - 37)**2*(h - 2)*(h - 1)
Factor 2*d**2/3 - 14*d/3.
2*d*(d - 7)/3
Solve 40*d**5 + 296*d**4 + 682*d**3 + 608*d**2 + 232*d + 32 = 0.
-4, -2, -1/2, -2/5
Factor 3*r**3 - 9624*r**2 + 7708815*r + 15456150.
3*(r - 1605)**2*(r + 2)
Determine f, given that f**5 + 32*f**4 + 357*f**3 + 1674*f**2 + 3456*f + 2592 = 0.
-12, -3, -2
Factor 44*w**3 - 512*w**2 - 192*w.
4*w*(w - 12)*(11*w + 4)
Factor 2*t**5/13 + 536*t**4/13 - 538*t**3/13.
2*t**3*(t - 1)*(t + 269)/13
Determine s so that 4*s**3 + 900*s**2 + 67500*s + 1687500 = 0.
-75
Determine t, given that 3*t**4 - 24*t**3 + 39*t**2 - 18*t = 0.
0, 1, 6
Suppose -i**3 + 37*i**2 - 195*i + 279 = 0. Calculate i.
3, 31
Let -2*a**4 + 762*a**3 - 3022*a**2 + 2262*a = 0. Calculate a.
0, 1, 3, 377
Factor 2*v**2/7 + 188*v/7 + 1056/7