t**4 + 285*t**3 + 10*t**2.
5*t**2*(t + 2)*(14*t + 1)**2
Factor 4*q**3/9 + 412*q**2/9 + 176*q.
4*q*(q + 4)*(q + 99)/9
Determine k, given that -k**3/6 - 11*k**2/6 + 15*k/2 + 189/2 = 0.
-9, 7
Find r, given that 2*r**2 - 2*r - 24 = 0.
-3, 4
Factor 4*o**2 - 8*o - 96.
4*(o - 6)*(o + 4)
Find r such that -2*r**4 + 10*r**3 + 56*r**2 - 64*r = 0.
-4, 0, 1, 8
Find u such that 3*u**4/4 + 15*u**3 + 207*u**2/4 + 123*u/2 + 24 = 0.
-16, -2, -1
Determine o, given that 3*o**2 - 24*o - 540 = 0.
-10, 18
Let -5*n**4/6 - 55*n**3/3 - 90*n**2 - 500*n/3 - 320/3 = 0. What is n?
-16, -2
Factor -2*l**2/7 + 64*l/7.
-2*l*(l - 32)/7
What is w in -45*w**3 - 444*w**2 + 615*w + 594 = 0?
-11, -2/3, 9/5
Suppose z**4/4 - 3*z**3/4 - z**2/4 + 3*z/4 = 0. What is z?
-1, 0, 1, 3
Find t, given that -5*t**4 - 370*t**3 + 760*t**2 = 0.
-76, 0, 2
What is g in -14*g**5/3 - 46*g**4/3 - 18*g**3 - 26*g**2/3 - 4*g/3 = 0?
-1, -2/7, 0
Let 4*w**5 - 264*w**4 + 4824*w**3 - 14560*w**2 - 15996*w + 69192 = 0. What is w?
-2, 3, 31
Suppose k**3/4 - 175*k**2/4 + 7387*k/4 + 23763/4 = 0. Calculate k.
-3, 89
Factor 45*r**4 + 165*r**3 - 910*r**2 + 940*r - 280.
5*(r - 2)*(r + 7)*(3*r - 2)**2
Find n, given that n**3/6 + 31*n**2/6 + 79*n/3 + 100/3 = 0.
-25, -4, -2
Factor m**5 + 17*m**4 + 14*m**3 - 32*m**2.
m**2*(m - 1)*(m + 2)*(m + 16)
Let -4*o**2 + 4272*o - 1140624 = 0. What is o?
534
Suppose -2*h**4 + 228*h**3 + 934*h**2 + 1176*h + 472 = 0. Calculate h.
-2, -1, 118
Factor 2*y**2/9 - 52*y/3 - 320/9.
2*(y - 80)*(y + 2)/9
Factor -5*u**2 - 51780*u - 134058420.
-5*(u + 5178)**2
Factor 2*v**4/13 + 300*v**3/13 + 594*v**2/13 + 296*v/13.
2*v*(v + 1)**2*(v + 148)/13
Suppose f**3 + 139*f**2 + 2032*f + 7872 = 0. What is f?
-123, -8
Solve u**2/6 - 2*u/3 - 5/6 = 0.
-1, 5
Determine w so that -5*w**3 - 1185*w**2 + 2385*w - 1195 = 0.
-239, 1
Factor -2*p**2/13 - 14*p/13 + 196/13.
-2*(p - 7)*(p + 14)/13
Let -2*h**4/5 + 12*h**3/5 + 32*h**2/5 = 0. What is h?
-2, 0, 8
Find c, given that -2*c**3/5 + 312*c**2/5 - 12474*c/5 + 23716/5 = 0.
2, 77
Factor t**2/5 - 387*t/5 - 388/5.
(t - 388)*(t + 1)/5
Find k such that 35*k**2 - 69360*k - 19820 = 0.
-2/7, 1982
Factor g**3 - 278*g**2.
g**2*(g - 278)
Factor -4*g**3 - 8*g**2 - 4*g.
-4*g*(g + 1)**2
Determine o so that -5*o**2 + 30*o - 45 = 0.
3
Suppose 2*y**2 - 8*y + 8 = 0. What is y?
2
Suppose -w**5 - 7*w**4 + 5*w**3 + 71*w**2 - 40*w - 100 = 0. What is w?
-5, -1, 2
Suppose -2*q**5 + 772*q**4 - 7586*q**3 + 24896*q**2 - 30112*q + 12032 = 0. Calculate q.
1, 4, 376
Find w such that 5*w**4 + 40*w**3 + 80*w**2 = 0.
-4, 0
Factor 8*h**2 - 430*h + 107.
(2*h - 107)*(4*h - 1)
Suppose l**2/2 + l/2 - 21 = 0. Calculate l.
-7, 6
Find h, given that -2*h**5/9 + 2*h**4/9 + 14*h**3/9 - 2*h**2/9 - 4*h/3 = 0.
-2, -1, 0, 1, 3
Find d, given that -2*d**5/7 - 198*d**4/7 - 4800*d**3/7 + 5000*d**2/7 = 0.
-50, 0, 1
Solve x**2/5 - 1506*x/5 = 0.
0, 1506
Factor 4*s**2/7 + 864*s/7 - 1744/7.
4*(s - 2)*(s + 218)/7
Suppose g**3 + 146*g**2 + 6720*g + 93600 = 0. Calculate g.
-60, -26
Find q, given that q**3/6 - 8*q**2 = 0.
0, 48
Suppose 5*q**3 + 87*q**2 + 34*q = 0. What is q?
-17, -2/5, 0
Factor 4*l**4 - 24*l**3 - 96*l**2 - 104*l - 36.
4*(l - 9)*(l + 1)**3
Let m**3 + 28*m**2 - 235*m + 350 = 0. What is m?
-35, 2, 5
Factor -l**2/3 - 40*l/3 - 112.
-(l + 12)*(l + 28)/3
What is j in -2*j**2/3 + 9400*j/9 + 3134/9 = 0?
-1/3, 1567
Factor -16*r**4 + 228*r**3 - 56*r**2.
-4*r**2*(r - 14)*(4*r - 1)
Solve -3*n**4 + 723*n**3 - 43197*n**2 - 43923*n = 0.
-1, 0, 121
What is y in 59*y**5/5 - 35*y**4 + 171*y**3/5 - 53*y**2/5 - 2*y/5 = 0?
-2/59, 0, 1
Factor 3*x**3 + 141*x**2 - 462*x - 600.
3*(x - 4)*(x + 1)*(x + 50)
Find o such that -2*o**2/11 - 116*o/11 - 624/11 = 0.
-52, -6
Factor 2*s**3/11 + 24*s**2/11 - 360*s + 4928.
2*(s - 22)**2*(s + 56)/11
Determine r, given that -5*r**3 - 164*r**2 + 33*r = 0.
-33, 0, 1/5
Factor -u**3 - 307*u**2 - 611*u - 305.
-(u + 1)**2*(u + 305)
Factor 3*s**2/4 - 291*s + 28227.
3*(s - 194)**2/4
Find p, given that 3*p**4/4 - 27*p**2/2 + 243/4 = 0.
-3, 3
Factor 5*a**2/4 + 2755*a/2 + 1518005/4.
5*(a + 551)**2/4
Factor 2*d**3/7 - 36*d**2 + 1512*d - 21168.
2*(d - 42)**3/7
Factor 21*k**4/8 - 171*k**3/4 + 12*k**2.
3*k**2*(k - 16)*(7*k - 2)/8
Factor y**5 + 7*y**4 - 21*y**3 - 135*y**2 + 216*y + 324.
(y - 3)**2*(y + 1)*(y + 6)**2
Factor h**2/3 - 38*h/3 + 55.
(h - 33)*(h - 5)/3
Find f such that -f**4/3 + 2*f**3 + 19*f**2/3 - 8*f = 0.
-3, 0, 1, 8
Factor -3*q**3/7 + 30*q**2/7 + 81*q/7 - 108/7.
-3*(q - 12)*(q - 1)*(q + 3)/7
What is t in -3*t**3/8 - 15*t**2/8 + 39*t/8 - 21/8 = 0?
-7, 1
Determine x so that 3*x**3 + 48*x**2 + 192*x = 0.
-8, 0
Factor 3*h**3 + 513*h**2 + 29241*h + 555579.
3*(h + 57)**3
Factor -d**2/2 + d/2 + 36.
-(d - 9)*(d + 8)/2
Factor c**2 - 598*c.
c*(c - 598)
Let -5*q**2/4 + 175*q/4 + 185/2 = 0. Calculate q.
-2, 37
Find n such that -n**3/6 - 47*n**2/6 + 118*n/3 + 272 = 0.
-51, -4, 8
Solve -b**5/2 + 57*b**4 + 243*b**3/2 - 632*b**2 - 714*b + 2088 = 0 for b.
-3, 2, 116
Factor -a**2/7 - 27*a/7 + 58/7.
-(a - 2)*(a + 29)/7
Factor -2*g**2 - 27380*g - 93708050.
-2*(g + 6845)**2
Suppose 10*c**5/17 - 6*c**4/17 - 14*c**3/17 + 6*c**2/17 + 4*c/17 = 0. What is c?
-1, -2/5, 0, 1
What is c in -4*c**5 + 48*c**4 + 12*c**3 - 152*c**2 + 96*c = 0?
-2, 0, 1, 12
Factor 4*l**2/5 + 44*l/5 - 48.
4*(l - 4)*(l + 15)/5
Solve -2*p**5/11 + 4*p**4/11 + 16*p**3/11 - 36*p**2/11 + 18*p/11 = 0.
-3, 0, 1, 3
Suppose q**4/7 - 120*q**3/7 + 3718*q**2/7 - 7080*q/7 + 3481/7 = 0. Calculate q.
1, 59
Determine o so that -2*o**4/7 + 2*o**3/7 + 2*o**2 - 26*o/7 + 12/7 = 0.
-3, 1, 2
Determine w, given that -14*w**4/11 + 74*w**3/11 + 92*w**2/11 - 64*w + 192/11 = 0.
-3, 2/7, 4
Factor 5*z**2 - 20*z + 15.
5*(z - 3)*(z - 1)
Suppose -4*k**2 + 276*k + 1480 = 0. Calculate k.
-5, 74
Factor w**2 - 3*w - 40.
(w - 8)*(w + 5)
Factor -3*l**2/8 - 693*l/8 - 513/2.
-3*(l + 3)*(l + 228)/8
Let v**5 - 18*v**4 + 13*v**3 + 72*v**2 - 68*v = 0. Calculate v.
-2, 0, 1, 2, 17
Find v, given that 5*v**2/3 - 15*v = 0.
0, 9
Factor -98*m**2 + 28*m/3 - 2/9.
-2*(21*m - 1)**2/9
Determine l so that -5*l**4 + 40*l**3 + 315*l**2 + 170*l - 520 = 0.
-4, -2, 1, 13
Let 3*s**2/2 - 57*s/8 = 0. Calculate s.
0, 19/4
Factor 3*b**3/4 - 27*b**2/2 + 42*b.
3*b*(b - 14)*(b - 4)/4
Factor 3*q**5 + 84*q**4 - 177*q**3 + 90*q**2.
3*q**2*(q - 1)**2*(q + 30)
Suppose q**4 + q**3 - 51*q**2 + 171*q - 162 = 0. Calculate q.
-9, 2, 3
Factor -k**5 - k**4 + 2*k**3.
-k**3*(k - 1)*(k + 2)
Determine s so that 4*s**3 - 44*s**2 - 56*s + 96 = 0.
-2, 1, 12
Factor -3*z**2 + 27*z.
-3*z*(z - 9)
Factor 5*j**4 - 100*j**3 - 345*j**2.
5*j**2*(j - 23)*(j + 3)
Solve 9*u**4 - 69*u**3 + 186*u**2 - 204*u + 72 = 0 for u.
2/3, 2, 3
Let 10*o**4 + 535*o**3 - 280*o**2 - 535*o + 270 = 0. What is o?
-54, -1, 1/2, 1
Factor 4*g**2 - 52*g + 168.
4*(g - 7)*(g - 6)
Suppose 2*p**2/5 - 312*p/5 + 12168/5 = 0. Calculate p.
78
Suppose -2*p**4/17 - 28*p**3/17 + 2*p**2/17 + 28*p/17 = 0. What is p?
-14, -1, 0, 1
Factor -2*q**4/3 - 4*q**3/3 + 4*q/3 + 2/3.
-2*(q - 1)*(q + 1)**3/3
Determine b so that 3*b**5 - 57*b**4 + 270*b**3 + 552*b**2 - 5376*b + 4608 = 0.
-4, 1, 6, 8
Factor 2*n**5 + 6*n**4 - 2*n**3 - 22*n**2 - 24*n - 8.
2*(n - 2)*(n + 1)**3*(n + 2)
Factor s**2 - 42*s - 135.
(s - 45)*(s + 3)
Solve -4*k**3 + 312*k**2 - 6912*k + 31104 = 0.
6, 36
Solve 2*k**4/3 - 32*k**3/3 - 206*k**2/3 - 100*k/3 + 112 = 0 for k.
-4, -2, 1, 21
Factor 3*u**4/4 - 27*u**2/4.
3*u**2*(u - 3)*(u + 3)/4
Factor -27*y**5 - 105*y**4 + 12*y**3.
-3*y**3*(y + 4)*(9*y - 1)
Factor y**2 - 19*y.
y*(y - 19)
Factor -2*q**3/11 - 130*q**2/11 + 1136*q/11 - 2336/11.
-2*(q - 4)**2*(q + 73)/11
Find y, given that 3*y**3/5 - 36*y**2 - 567*y/5 = 0.
-3, 0, 63
Find o, given that -5*o**2 + 20*o + 960 = 0.
-12, 16
Solve -3*m**4/5 - 168*m**3/5 - 2178*m**2/5 + 4872*m/5 - 2523/5 = 0 for m.
-29, 1
Find j such that -14*j**4 - 10*j**3 + 32*j**2 - 8*j = 0.
-2, 0, 2/7, 1
Factor m**3/3 + 131*m**2/3 + 128*m/3 - 260/3.
(m - 1)*(m + 2)*(m + 130)/3
Find c, given that -5*c**2 - 2190*c = 0.
-438, 0
Factor -2*z**2/19 - 16*z/19 - 24/19.
-2*(z + 2)*(z + 6)/19
Let -5*i**4 + 110*i**3 + 115*i**2 = 0. What is i?
-1, 0, 23
Factor -2*y**3 - 14*y**2 + 418*y + 3630.
-2*(y - 15)*(y + 11)**2
Solve n**2 + 286*n + 568 = 0.
-284, -2
Determine p so that -p**3/8 - 179*p**2/8 = 0.
-179, 0
Factor 3*m**3 - 15*m**2 - 96*m - 108.
3*(m - 9)*(m + 2)**2
Suppose 