 that 5*f**3 - 65*f**2 + 130*f + 200 = 0.
-1, 4, 10
Factor -55*t**4 + 2110*t**3 - 20615*t**2 + 7220*t.
-5*t*(t - 19)**2*(11*t - 4)
Find z, given that -8*z**4 - 220*z**3 + 112*z**2 = 0.
-28, 0, 1/2
What is v in -5*v**3/2 + 7*v**2/2 + 4*v - 2 = 0?
-1, 2/5, 2
Factor -p**3/6 + 125*p**2/6 - 1564*p/3 - 25432/3.
-(p - 68)**2*(p + 11)/6
Suppose 3*h**5 - 19*h**4 + 6*h**3 + 96*h**2 - 32*h = 0. Calculate h.
-2, 0, 1/3, 4
Let -2*y**4/21 + 2*y**3/21 + 38*y**2/3 - 182*y/3 = 0. What is y?
-13, 0, 7
Factor -4*m**3/3 - 88*m**2/3 - 484*m/3.
-4*m*(m + 11)**2/3
Factor 28*x**3 - 80*x**2 + 44*x + 8.
4*(x - 2)*(x - 1)*(7*x + 1)
Solve j**3/2 + 138*j**2 + 2685*j/2 + 3325 = 0 for j.
-266, -5
Solve -f**3/9 + 116*f**2/9 = 0.
0, 116
Determine d, given that d**4 - 15*d**3/4 + 25*d/4 + 3/2 = 0.
-1, -1/4, 2, 3
Factor -5*t**2 + 9180*t + 18380.
-5*(t - 1838)*(t + 2)
Factor 3*d**2 + 264*d - 819.
3*(d - 3)*(d + 91)
Factor 2*l**2/5 - 104*l/5 + 1352/5.
2*(l - 26)**2/5
Factor -3*w**3 + 24*w**2 + 60*w.
-3*w*(w - 10)*(w + 2)
Factor 76*i**3/13 + 2422*i**2/13 + 1472*i - 2560/13.
2*(i + 16)**2*(38*i - 5)/13
Suppose -2*k**4/9 - 28*k**3/9 + 62*k**2/9 - 32*k/9 = 0. Calculate k.
-16, 0, 1
Solve -p**2/5 + 121/5 = 0.
-11, 11
Factor -2*h**2/9 - 10*h/3 + 308/9.
-2*(h - 7)*(h + 22)/9
Suppose n**4/3 - 173*n**3/3 + 172*n**2/3 = 0. Calculate n.
0, 1, 172
Determine f, given that -9*f**4 - 7*f**3 + 2*f**2 = 0.
-1, 0, 2/9
Factor a**4 + 19*a**3 + 79*a**2 - 135*a - 900.
(a - 3)*(a + 5)**2*(a + 12)
Factor -2*p**5/5 - 582*p**4/5 - 8526*p**3 - 8410*p**2.
-2*p**2*(p + 1)*(p + 145)**2/5
Suppose n**2 + 183*n + 182 = 0. What is n?
-182, -1
Factor -2*z**3/3 - 2*z**2 + 36*z + 224/3.
-2*(z - 7)*(z + 2)*(z + 8)/3
Let o**2/4 - 13*o/4 - 7/2 = 0. What is o?
-1, 14
Suppose -2*l**2/9 + 46*l/9 + 16/3 = 0. What is l?
-1, 24
What is b in -3*b**4 + 160*b**3 - 53*b**2 = 0?
0, 1/3, 53
Factor -k**4/2 - 25*k**3/2 - 189*k**2/2 - 407*k/2 - 121.
-(k + 1)*(k + 2)*(k + 11)**2/2
Factor -4*c**4/5 + 4*c**3 - 32*c**2/5 + 16*c/5.
-4*c*(c - 2)**2*(c - 1)/5
Let -2*y**3/7 - 8*y**2/7 + 2*y/7 + 8/7 = 0. Calculate y.
-4, -1, 1
Solve 2*s**3/7 - 3452*s**2/7 + 10342*s/7 - 6892/7 = 0.
1, 2, 1723
Let 3*n**4/2 + 39*n**3 + 1119*n**2/8 + 1413*n/8 + 297/4 = 0. What is n?
-22, -3/2, -1
Suppose -2*d**3/5 - 8*d**2 + 88*d/5 = 0. Calculate d.
-22, 0, 2
Factor -4*j**3 - 1284*j**2 + 1288*j.
-4*j*(j - 1)*(j + 322)
What is q in -68*q**3 + 400*q**2 - 564*q - 72 = 0?
-2/17, 3
Solve -2*f**5/13 + 2*f**4/13 + 6*f**3/13 - 2*f**2/13 - 4*f/13 = 0 for f.
-1, 0, 1, 2
Factor 2*t**3 + 364*t**2 - 2*t - 364.
2*(t - 1)*(t + 1)*(t + 182)
Factor d**3/3 - 16*d**2 - 319*d/3 - 90.
(d - 54)*(d + 1)*(d + 5)/3
Find t, given that -t**5/2 - 3*t**4/2 - t**3/2 + 3*t**2/2 + t = 0.
-2, -1, 0, 1
Determine q so that 4*q**3 - 4*q**2 - 148*q - 140 = 0.
-5, -1, 7
Find q such that 2*q**5 - 88*q**4/3 - 112*q**3 - 140*q**2 - 214*q/3 - 12 = 0.
-1, -1/3, 18
Factor 4*b**5/3 - 12*b**4 + 20*b**3 + 100*b**2/3.
4*b**2*(b - 5)**2*(b + 1)/3
Factor -k**4 - 4*k**3 + 3*k**2 + 10*k - 8.
-(k - 1)**2*(k + 2)*(k + 4)
Find m such that 2*m**2/7 + 144*m/7 - 608/7 = 0.
-76, 4
What is l in 5*l**2 - 3015*l - 3020 = 0?
-1, 604
Factor x**4/4 + 17*x**3/2 + 8*x**2 - 17*x/2 - 33/4.
(x - 1)*(x + 1)**2*(x + 33)/4
Suppose -5*b**2 - 395*b - 390 = 0. Calculate b.
-78, -1
Factor s**4/2 + 13*s**3 - 187*s**2/2 + 80*s.
s*(s - 5)*(s - 1)*(s + 32)/2
Solve -8*x**3/11 - 2*x**2/11 + 8*x/11 + 2/11 = 0 for x.
-1, -1/4, 1
Determine i, given that -2*i**2/7 - 382*i/7 = 0.
-191, 0
Factor -s**3/3 + 5*s**2 - 47*s/3 + 11.
-(s - 11)*(s - 3)*(s - 1)/3
Find x, given that -2*x**5 - 2*x**4/3 + 52*x**3/3 + 40*x**2/3 - 16*x = 0.
-2, 0, 2/3, 3
Factor i**3/2 - 43*i**2 - 87*i/2.
i*(i - 87)*(i + 1)/2
Factor 2*y**3/3 - 22*y**2/3 + 40*y/3 + 64/3.
2*(y - 8)*(y - 4)*(y + 1)/3
Suppose 8*t**4/5 + 54*t**3/5 - 238*t**2/5 + 216*t/5 - 8 = 0. Calculate t.
-10, 1/4, 1, 2
What is v in -4*v**3 + 4260*v**2 - 1512300*v + 178955500 = 0?
355
Suppose 6*z**5 + 135*z**4 + 774*z**3 - 33*z**2 - 2178*z = 0. Calculate z.
-11, -2, 0, 3/2
Determine b so that -3*b**5/4 + 3*b**4 + 45*b**3/4 - 27*b**2/2 = 0.
-3, 0, 1, 6
Determine n, given that 10*n**4/21 + 1084*n**3/21 + 9864*n**2/7 + 3888*n/7 = 0.
-54, -2/5, 0
Factor -5*b**5 + 3360*b**4 + 6740*b**3.
-5*b**3*(b - 674)*(b + 2)
Solve 4*k**3 - 4*k**2 = 0 for k.
0, 1
Solve 4*x**3 + 4*x**2 - 24*x = 0.
-3, 0, 2
Solve -12*m**4 - 104*m**3 - 124*m**2 + 128*m + 112 = 0.
-7, -2, -2/3, 1
Find c, given that c**5/8 + 2783*c**4/8 - 5571*c**3/4 + 8359*c**2/4 - 11147*c/8 + 2787/8 = 0.
-2787, 1
Suppose -45*m**2 - 1480*m + 1525 = 0. What is m?
-305/9, 1
Factor d**4 - 4*d**3 + d**2 + 6*d.
d*(d - 3)*(d - 2)*(d + 1)
Factor 2*x**2 - 30*x - 68.
2*(x - 17)*(x + 2)
Solve 2*u**4 - 64*u**3 - 280*u**2 - 288*u = 0 for u.
-2, 0, 36
Suppose -3*l**5 - 138*l**4 + 285*l**3 - 144*l**2 = 0. What is l?
-48, 0, 1
Find z, given that z**2/4 + 7*z + 27/4 = 0.
-27, -1
Factor 4*b**5 - 16*b**3.
4*b**3*(b - 2)*(b + 2)
Determine i, given that -93*i**4 + 180*i**3 - 81*i**2 - 6*i = 0.
-2/31, 0, 1
Factor -12*p**4/11 - 126*p**3/11 - 60*p**2/11.
-6*p**2*(p + 10)*(2*p + 1)/11
Factor i**4 - 12*i**3 + 36*i**2 + 32*i - 192.
(i - 6)*(i - 4)**2*(i + 2)
Factor -5*n**2 + 15*n + 20.
-5*(n - 4)*(n + 1)
Factor -4*k**5 + 116*k**4 - 424*k**3 + 616*k**2 - 404*k + 100.
-4*(k - 25)*(k - 1)**4
Find v such that 5*v**3/3 - 10*v**2 + 20*v - 40/3 = 0.
2
What is f in -3*f**5 + 84*f**4 + 2829*f**3 + 22362*f**2 + 58428*f + 48600 = 0?
-9, -2, 50
Find y, given that -2*y**2/11 - 84*y/11 - 234/11 = 0.
-39, -3
Let -2*k**3/7 + 8*k**2 - 480*k/7 + 1152/7 = 0. Calculate k.
4, 12
Find j such that 5*j**3 + 55*j**2 - 60*j = 0.
-12, 0, 1
What is v in -v**2/4 - 13*v/2 - 25/4 = 0?
-25, -1
Solve -u**4 - 13*u**3 + 20*u**2 + 84*u = 0 for u.
-14, -2, 0, 3
Suppose -6*v**3 + 129*v**2 + 66*v = 0. Calculate v.
-1/2, 0, 22
Factor -5*s**3 + 2900*s**2 + 5*s - 2900.
-5*(s - 580)*(s - 1)*(s + 1)
Determine o so that -o**2/4 - 40*o = 0.
-160, 0
Find j such that 12*j**3 - 2361*j**2 - 2988*j + 3564 = 0.
-2, 3/4, 198
Factor 4*c**2 - 104*c + 100.
4*(c - 25)*(c - 1)
Suppose -z**4 + 26*z**3 - 125*z**2 + 100*z = 0. What is z?
0, 1, 5, 20
Let 15*h**3 - 7047*h**2 + 826965*h + 165675 = 0. What is h?
-1/5, 235
Let -2*d**5 - 20*d**4 + 76*d**3 - 32*d**2 - 74*d + 52 = 0. What is d?
-13, -1, 1, 2
Solve -2*x**4/11 - 4*x**3/11 + 14*x**2/11 - 8*x/11 = 0 for x.
-4, 0, 1
Factor -5*b**4 - 10*b**3 + 15*b**2.
-5*b**2*(b - 1)*(b + 3)
What is n in n**4 + 8*n**3 - 39*n**2 - 58*n + 88 = 0?
-11, -2, 1, 4
Factor -2*n**2/7 - 13380*n/7 - 22378050/7.
-2*(n + 3345)**2/7
Factor -3*t**4/2 + 9*t**3/2 + 45*t**2/2 + 51*t/2 + 9.
-3*(t - 6)*(t + 1)**3/2
Factor -5*k**3 + 100*k**2 - 455*k.
-5*k*(k - 13)*(k - 7)
Solve u**3/3 + 9*u**2 + 56*u - 196/3 = 0 for u.
-14, 1
Solve -3*h**2 + 48*h + 483 = 0 for h.
-7, 23
Determine l so that 33*l**5 + 27*l**4 - 765*l**3 + 1425*l**2 - 828*l + 108 = 0.
-6, 2/11, 1, 3
Suppose -44*o**3 + 1472*o**2 - 636*o - 792 = 0. Calculate o.
-6/11, 1, 33
Factor 2*v**3/5 - 148*v**2/5 + 576*v - 5184/5.
2*(v - 36)**2*(v - 2)/5
Factor -10*c**3/3 - 8*c**2 + 22*c/3 + 4.
-2*(c - 1)*(c + 3)*(5*c + 2)/3
Factor 6*l**3 + 110*l**2 - 1878*l - 638.
2*(l - 11)*(l + 29)*(3*l + 1)
Let q**5/4 + q**4/2 - 9*q**3/2 - 17*q**2 - 79*q/4 - 15/2 = 0. Calculate q.
-3, -2, -1, 5
Suppose 6*u**4/11 + 24*u**3/11 + 30*u**2/11 + 12*u/11 = 0. Calculate u.
-2, -1, 0
Factor 3*r**3 + 21*r**2.
3*r**2*(r + 7)
Solve 6*s**5 + 4*s**4 - 20*s**3 - 24*s**2 - 2*s + 4 = 0 for s.
-1, 1/3, 2
Let 3*r**4 + 90*r**3 + 831*r**2 + 2340*r + 2028 = 0. What is r?
-13, -2
Suppose 6*u**4 + 46*u**3 + 70*u**2 - 62*u - 60 = 0. What is u?
-5, -3, -2/3, 1
Factor -2*z**3/5 - 12*z**2/5.
-2*z**2*(z + 6)/5
Factor -3*t**2 + 51*t - 156.
-3*(t - 13)*(t - 4)
What is h in 5*h**3 + 40*h**2 + 85*h + 50 = 0?
-5, -2, -1
Factor f**3/3 - 608*f**2/3 - 1220*f/3.
f*(f - 610)*(f + 2)/3
Suppose -m**2/6 + 834*m - 1043334 = 0. What is m?
2502
Factor f**5 + 57*f**4 + 723*f**3 - 2521*f**2 + 2640*f - 900.
(f - 1)**3*(f + 30)**2
Factor -h**4/3 - 10*h**3/3 - 12*h**2 - 18*h - 9.
-(h + 1)*(h + 3)**3/3
Factor 63*x**3 - 654*x**2 + 1152*x + 384.
3*(x - 8)*(3*x - 8)*(7*x + 2)
Suppose 4*c**5/5 + 27*c**4/5 + 53*c**3/5 + 21*c**2/5 - 9*c/5 = 0. Calculate c.
-3, -1, 0, 1/4
Let 2000*v**5/3 + 11800*v**4/3 - 820*v**3 - 2682*v**2 - 990*v - 108 = 0. What is v?
