6*d/11 - 1458/11.
-2*(d + 1)*(d + 27)**2/11
Factor -4*t**5 + 8*t**4 + 24*t**3 - 80*t**2 + 76*t - 24.
-4*(t - 2)*(t - 1)**3*(t + 3)
What is f in -27*f**5/5 + 207*f**4/5 - 105*f**3 + 333*f**2/5 + 504*f/5 - 588/5 = 0?
-1, 2, 7/3
Factor 4*b**3 + 16*b**2 - 364*b - 1960.
4*(b - 10)*(b + 7)**2
Factor -2*t**2 + 1208*t - 182408.
-2*(t - 302)**2
Suppose 3*b**2/5 - 384*b/5 = 0. Calculate b.
0, 128
Find c such that -28*c**4 - 582*c**3 - 2544*c**2 - 1730*c - 300 = 0.
-15, -5, -1/2, -2/7
Solve 4*o**2 - 16 = 0.
-2, 2
Factor -5*g**3 - 705*g**2 - 27720*g - 196020.
-5*(g + 9)*(g + 66)**2
Determine t so that -32*t**3/17 + 720*t**2/17 - 1650*t/17 - 30250/17 = 0.
-5, 55/4
Factor -10*v**3/23 - 546*v**2/23 + 220*v/23.
-2*v*(v + 55)*(5*v - 2)/23
Factor 3*i**4 - 9*i**2/4 + 3*i/4.
3*i*(i + 1)*(2*i - 1)**2/4
Factor q**3 + 31*q**2 + 160*q - 192.
(q - 1)*(q + 8)*(q + 24)
Determine v so that -2*v**2/3 - 22*v - 64/3 = 0.
-32, -1
Let 2*q**2/5 - 68*q/5 = 0. Calculate q.
0, 34
Suppose -4*o**5 - 116*o**4 - 828*o**3 - 1324*o**2 - 608*o = 0. What is o?
-19, -8, -1, 0
Determine i so that 49*i**3/6 + 616*i**2 - 354*i + 152/3 = 0.
-76, 2/7
Factor 4*b**3 - 20*b**2 + 32*b - 16.
4*(b - 2)**2*(b - 1)
Determine k so that -5*k**5 + 60*k**4 - 175*k**3 + 100*k**2 + 180*k - 160 = 0.
-1, 1, 2, 8
Suppose 2*z**5 - 10*z**4 + 6*z**3 + 34*z**2 - 56*z + 24 = 0. What is z?
-2, 1, 2, 3
Suppose 2*c**4/5 + 16*c**3/5 + 26*c**2/5 + 12*c/5 = 0. What is c?
-6, -1, 0
Factor -2*p**2/15 - 1306*p/15 - 868/5.
-2*(p + 2)*(p + 651)/15
Let 10*f**3 + 50525*f**2 + 63832020*f + 31903380 = 0. What is f?
-2526, -1/2
Factor -o**5 + 4*o**4 + 7*o**3 - 10*o**2.
-o**2*(o - 5)*(o - 1)*(o + 2)
Let 3*d**5 + 240*d**4 + 6555*d**3 + 65130*d**2 + 111540*d + 52728 = 0. What is d?
-26, -1
Factor -x**2/6 - x/6 + 1/3.
-(x - 1)*(x + 2)/6
Factor -4*r**2 + 15960*r - 15920100.
-4*(r - 1995)**2
Solve -4*o**4 - 24*o**3 + 28*o**2 = 0 for o.
-7, 0, 1
Factor -2*t**2/5 + 4*t/5.
-2*t*(t - 2)/5
Determine a, given that -3*a**5 + 22*a**4 - 23*a**3 - 8*a**2 + 12*a = 0.
-2/3, 0, 1, 6
Factor -196*o**5 - 6412*o**4 - 69304*o**3 - 240680*o**2 + 73084*o - 5324.
-4*(o + 11)**3*(7*o - 1)**2
What is x in -5*x**3 - 85*x**2 + 5*x + 85 = 0?
-17, -1, 1
Determine v, given that 3*v**2 - 51*v + 48 = 0.
1, 16
Factor q**3/6 + 5*q**2/3 + 9*q/2 + 3.
(q + 1)*(q + 3)*(q + 6)/6
Solve -r**4 + 3*r**3 + 29*r**2 - 3*r - 28 = 0.
-4, -1, 1, 7
Factor 3*x**2/5 - 66*x/5 + 216/5.
3*(x - 18)*(x - 4)/5
Factor -4*i**3 - 8*i**2 + 60*i.
-4*i*(i - 3)*(i + 5)
Suppose -t**4/3 - 23*t**3/3 - 98*t**2/3 - 148*t/3 - 24 = 0. What is t?
-18, -2, -1
Factor 2*f**4 + 20*f**3 + 56*f**2 + 12*f - 90.
2*(f - 1)*(f + 3)**2*(f + 5)
Factor -l**4 - 172*l**3 - 7395*l**2 + 172*l + 7396.
-(l - 1)*(l + 1)*(l + 86)**2
Find x such that -2*x**3 - 30*x**2 + 144*x - 152 = 0.
-19, 2
Factor -q**5/6 + q**4/3 + 2*q**3 - 19*q**2/3 + 37*q/6 - 2.
-(q - 3)*(q - 1)**3*(q + 4)/6
Factor -3*z**3/2 + 75*z**2 - 921*z/2 + 387.
-3*(z - 43)*(z - 6)*(z - 1)/2
Solve 2*k**5/5 + 6*k**4/5 - 28*k**3/5 - 36*k**2/5 + 26*k/5 + 6 = 0 for k.
-5, -1, 1, 3
Suppose -49*a**5/3 + 42*a**4 - 20*a**3 + 8*a**2/3 = 0. Calculate a.
0, 2/7, 2
Factor 2*i**3 - 26*i**2 - 2*i + 26.
2*(i - 13)*(i - 1)*(i + 1)
Let 2*q**2/11 - 62*q/11 - 12 = 0. Calculate q.
-2, 33
Find p, given that 4*p**4/15 - 2*p**3/15 - 2*p**2/5 + 2*p/15 + 2/15 = 0.
-1, -1/2, 1
Solve f**2/10 - 27*f/5 - 248/5 = 0 for f.
-8, 62
Solve 3*l**3 - 165*l**2 - 168*l = 0 for l.
-1, 0, 56
Factor 5*w**2/3 + 6892*w/3 + 2756/3.
(w + 1378)*(5*w + 2)/3
Determine i so that 3*i**2 - 30*i + 63 = 0.
3, 7
Factor -3*v**4 + 279*v**3 + 3*v**2 - 279*v.
-3*v*(v - 93)*(v - 1)*(v + 1)
Find a, given that -3*a**3/4 - 57*a**2/2 + 999*a/4 + 1215/2 = 0.
-45, -2, 9
Factor -5*p**3 + 1975*p**2 - 192035*p - 594015.
-5*(p - 199)**2*(p + 3)
Solve -15*q**4/2 + 6*q**3 + 9*q**2 - 6*q - 3/2 = 0 for q.
-1, -1/5, 1
Solve -62*z**5 - 58*z**4 + 190*z**3 + 50*z**2 - 128*z + 8 = 0 for z.
-2, -1, 2/31, 1
Factor 9*u**3 - 210*u**2 + 268*u - 88.
(u - 22)*(3*u - 2)**2
Determine j so that 69*j**4 + 68*j**3 - j**2 = 0.
-1, 0, 1/69
Solve -j**2/8 + 67*j/8 - 279/2 = 0 for j.
31, 36
Find r such that 3*r**3/7 + 3*r**2/7 - 99*r/7 + 27 = 0.
-7, 3
Factor -4*f**3 + 92*f**2.
-4*f**2*(f - 23)
Factor 2*f**3 - 382*f**2 - 384*f.
2*f*(f - 192)*(f + 1)
Factor -25*d**5 - 65*d**4 - 30*d**3.
-5*d**3*(d + 2)*(5*d + 3)
Determine a so that a**4 - 9*a**3 + 27*a**2 - 31*a + 12 = 0.
1, 3, 4
Suppose k**2/7 + 365*k/7 + 52 = 0. Calculate k.
-364, -1
Find y, given that -y**3/3 - 148*y**2/3 + 149*y/3 = 0.
-149, 0, 1
Factor -2*k**3 + 28*k**2 - 26*k.
-2*k*(k - 13)*(k - 1)
Suppose 5*t**4 - 150*t**3 + 145*t**2 = 0. What is t?
0, 1, 29
Factor 4*j**4/7 - 60*j**3/7 - 216*j**2/7.
4*j**2*(j - 18)*(j + 3)/7
Solve 8*m**4/7 + 134*m**3 - 708*m**2/7 = 0.
-118, 0, 3/4
Let -2*k**4/3 - 160*k**3/3 + 704*k**2 + 433664*k/3 + 8859136/3 = 0. Calculate k.
-44, 52
Solve k**3/3 - 2*k**2 + 5*k/3 + 4 = 0 for k.
-1, 3, 4
Let -8*a**4 + 110*a**3/3 - 154*a**2/3 + 64*a/3 - 8/3 = 0. What is a?
1/4, 1/3, 2
Factor -3*b**2 - 6*b.
-3*b*(b + 2)
Let -3*y**2 - 38550*y - 123841875 = 0. Calculate y.
-6425
Factor -2*v**4/9 - 2*v**3/9 + 20*v**2/9 - 16*v/9.
-2*v*(v - 2)*(v - 1)*(v + 4)/9
Factor -x**4/4 + 25*x**3/2 - 47*x**2 + 46*x.
-x*(x - 46)*(x - 2)**2/4
Solve 6*x**5 + 20*x**4 - 90*x**3 + 40*x**2 + 24*x = 0 for x.
-6, -1/3, 0, 1, 2
Factor 18*g**2 - 10*g - 132.
2*(g - 3)*(9*g + 22)
Suppose 8*b**4/9 - 190*b**3/9 - 80*b**2/9 + 760*b/9 + 64/3 = 0. Calculate b.
-2, -1/4, 2, 24
Factor -11*h**3 - 7*h**2 + 136*h - 48.
-(h - 3)*(h + 4)*(11*h - 4)
Factor -4*t**2/17 - 1130*t/17 - 564/17.
-2*(t + 282)*(2*t + 1)/17
Factor 7*r**3 - 262*r**2 + 1383*r - 1980.
(r - 3)**2*(7*r - 220)
Factor -676*n**3 + 884*n**2 - 224*n + 16.
-4*(n - 1)*(13*n - 2)**2
Solve 2*l**3 - 102*l**2/7 - 192*l + 56 = 0.
-7, 2/7, 14
Determine r so that r**4/3 + 52*r**3 + 864*r**2 + 5040*r + 9936 = 0.
-138, -6
Let -3*u**4/5 - 6*u**3/5 + 3*u**2/5 + 6*u/5 = 0. Calculate u.
-2, -1, 0, 1
Factor -m**4/5 - 28*m**3/5 + 12*m**2.
-m**2*(m - 2)*(m + 30)/5
Factor 2*w**2 + 22*w + 20.
2*(w + 1)*(w + 10)
Suppose -3*b**2/7 - 18903*b/7 + 18906/7 = 0. Calculate b.
-6302, 1
Let -4*a**3 - 108*a**2 + 36*a + 972 = 0. What is a?
-27, -3, 3
Suppose 3*l**4/7 - 27*l**3/7 - 99*l**2/7 - 15*l - 36/7 = 0. Calculate l.
-1, 12
Factor -v**4 - v**3 + 40*v**2 + 112*v.
-v*(v - 7)*(v + 4)**2
What is k in -32*k**4 - 2224*k**3 + 3384*k**2 - 1700*k + 284 = 0?
-71, 1/2
Factor -v**4/2 + 51*v**3/2 + 105*v**2/2 + 53*v/2.
-v*(v - 53)*(v + 1)**2/2
Factor -c**2/4 + 155*c - 24025.
-(c - 310)**2/4
Let -2*f**4/11 - 20*f**3/11 - 18*f**2/11 = 0. Calculate f.
-9, -1, 0
Determine v so that -v**3/6 - 2*v**2/3 - v/6 + 1 = 0.
-3, -2, 1
Factor -32*r**2 + 16*r - 2.
-2*(4*r - 1)**2
Determine b so that 3*b**4/2 + 27*b**3/2 - 6*b**2 - 54*b = 0.
-9, -2, 0, 2
Factor 8*u**4 - 50*u**3 + 52*u**2 - 10*u.
2*u*(u - 5)*(u - 1)*(4*u - 1)
Factor 2*s**2 - 2*s.
2*s*(s - 1)
Factor 9*k**3 + 51*k**2 - 378*k + 120.
3*(k - 4)*(k + 10)*(3*k - 1)
Factor 3*p**4 - 3*p**2.
3*p**2*(p - 1)*(p + 1)
Factor -4*s**3 - 56*s**2 - 196*s.
-4*s*(s + 7)**2
Find q such that 8*q**4/25 + 42*q**3/25 + 66*q**2/25 + 38*q/25 + 6/25 = 0.
-3, -1, -1/4
Let -15*o**4/2 - 275*o**3/2 + 495*o**2/2 - 105*o/2 - 50 = 0. What is o?
-20, -1/3, 1
Factor a**4 - 11*a**3 - 185*a**2 - 525*a.
a*(a - 21)*(a + 5)**2
Factor -2*w**4 - 172*w**3 - 3522*w**2 + 7568*w - 3872.
-2*(w - 1)**2*(w + 44)**2
Factor -4*l**5 + 44*l**4 - 136*l**3 + 184*l**2 - 116*l + 28.
-4*(l - 7)*(l - 1)**4
Suppose 3*i**4/5 + 18*i**3/5 - 3*i**2/5 - 18*i/5 = 0. Calculate i.
-6, -1, 0, 1
Find j, given that j**5/6 + j**4/3 - j**3/6 - j**2/3 = 0.
-2, -1, 0, 1
Factor 2*n**3/11 + 54*n**2/11 + 48*n/11 - 104/11.
2*(n - 1)*(n + 2)*(n + 26)/11
Find i, given that -5*i**4 - 200*i**3 - 2705*i**2 - 13650*i - 18000 = 0.
-15, -8, -2
Factor 84*a**2 + 185*a/2 + 17/2.
(a + 1)*(168*a + 17)/2
Suppose g**2/5 + 33*g/5 + 32/5 = 0. Calculate g.
-32, -1
Factor h**2 + 288*h/5 + 171/5.
(h + 57)*(5*h + 3)/5
What is o in -2*o**3/5 + 1398*o**2/5 - 48720*o - 49000 = 0?
-1, 350
Factor 2*w**4 + 266*w**3 + 1296*w**2 + 2056*w + 1024.
2*(w + 1)*(w + 2)**2*(w + 128)
Determine t so that -2*t**5/9 + 14*t**4/9 - 22*t**3/9 - 14*t**2/9 + 8*t/3 = 0.
-1, 0, 1, 3, 4
Factor -x**3/6 - 7*x**2/6 + x/6 + 7/6.
-(x - 1)*(x + 1)*(x + 7)/6
Solve -q**5/4 - q**4/2 + q**