632*a**3/5 + 654*a**2 - 1636*a/5 = 0.
-818, 0, 1
Suppose f**3/3 - 4*f**2/3 + 5*f/3 - 2/3 = 0. What is f?
1, 2
Determine i, given that -2*i**5 + 8*i**4 + 6*i**3 - 36*i**2 = 0.
-2, 0, 3
Solve 2*r**4/3 + 116*r**3/3 - 122*r**2/3 - 236*r/3 = 0 for r.
-59, -1, 0, 2
Factor -2*y**3/9 + 92*y**2/9 + 410*y/9 - 500/9.
-2*(y - 50)*(y - 1)*(y + 5)/9
What is y in 5*y**3/3 - 10*y**2 - 95*y/3 + 140 = 0?
-4, 3, 7
Factor -3*z**2 + 30*z.
-3*z*(z - 10)
Suppose -p**2/4 + 11*p/2 - 121/4 = 0. What is p?
11
Factor -4*k**3 - 100*k**2 + 212*k - 108.
-4*(k - 1)**2*(k + 27)
Solve 3*v**2/7 - 1566*v/7 - 1569/7 = 0.
-1, 523
Factor 3*i**2 + 573*i - 1158.
3*(i - 2)*(i + 193)
Determine q, given that 2*q**5/7 - 2*q**3 + 4*q**2/7 + 24*q/7 - 16/7 = 0.
-2, 1, 2
Find u, given that -2*u**3 - 4*u**2 + 22*u + 24 = 0.
-4, -1, 3
Solve b**4/2 + b**3 + b**2/2 = 0 for b.
-1, 0
Factor 65*i**2 - 180*i - 45.
5*(i - 3)*(13*i + 3)
Factor -13*u**4/2 + 27*u**3 - 4*u**2.
-u**2*(u - 4)*(13*u - 2)/2
Find l, given that l**2 + 33*l - 34 = 0.
-34, 1
Factor -4*v**3 - 112*v**2 - 308*v - 200.
-4*(v + 1)*(v + 2)*(v + 25)
Factor 3*c**2/2 + 237*c + 18723/2.
3*(c + 79)**2/2
Factor m**4 + 2*m**3 - 4*m**2 - 2*m + 3.
(m - 1)**2*(m + 1)*(m + 3)
Factor 2*k**5 + 5926*k**4 + 4398566*k**3 + 13160162*k**2 + 13148320*k + 4380800.
2*(k + 1)**3*(k + 1480)**2
Factor 3*x**3/2 - 33*x**2/2 - 27*x + 108.
3*(x - 12)*(x - 2)*(x + 3)/2
Suppose -s**2/4 - s/2 + 15/4 = 0. What is s?
-5, 3
Determine t, given that -t**2/3 - 296*t + 889/3 = 0.
-889, 1
Factor 20*l**4 + 133*l**3 + 80*l**2 + 12*l.
l*(l + 6)*(4*l + 1)*(5*l + 2)
Factor 14*u**3/5 + 128*u**2 + 446*u/5 - 36.
2*(u + 1)*(u + 45)*(7*u - 2)/5
Factor -t**4/5 + 26*t**3/5 + t**2/5 - 26*t/5.
-t*(t - 26)*(t - 1)*(t + 1)/5
What is g in 5*g**4 + 5*g**3 - 35*g**2 - 5*g + 30 = 0?
-3, -1, 1, 2
Factor -l**3/6 + 37*l**2/6 + 59*l/3 + 40/3.
-(l - 40)*(l + 1)*(l + 2)/6
Solve v**2/2 - 211*v/2 = 0.
0, 211
Solve 3*y**5 - 63*y**4 + 300*y**3 + 252*y**2 - 1248*y = 0.
-2, 0, 2, 8, 13
Determine b so that b**3/3 - 3493*b**2/3 + 1017336*b - 1016172 = 0.
1, 1746
Factor -3*m**3/5 - 24*m**2/5 - 51*m/5 - 6.
-3*(m + 1)*(m + 2)*(m + 5)/5
Factor -25*t**3/3 - 145*t**2/3 - 85*t - 45.
-5*(t + 1)*(t + 3)*(5*t + 9)/3
Determine v so that 2*v**4/13 - 2*v**3/13 - 14*v**2/13 + 2*v/13 + 12/13 = 0.
-2, -1, 1, 3
Factor 5*o**3/4 + 295*o**2/2 - 595*o/4.
5*o*(o - 1)*(o + 119)/4
Determine v, given that 2*v**4 - 66*v**3 + 178*v**2 + 66*v - 180 = 0.
-1, 1, 3, 30
Let -4*s**5/3 - 40*s**4 - 256*s**3 + 2048*s**2/3 = 0. Calculate s.
-16, 0, 2
Suppose n**2/3 + 142*n - 427/3 = 0. Calculate n.
-427, 1
Factor -2*m**2/7 - 216*m/7 + 3146/7.
-2*(m - 13)*(m + 121)/7
Factor -46*r**2/9 + 16*r/9.
-2*r*(23*r - 8)/9
Factor 3*g**3 - 168*g**2 + 2112*g - 7680.
3*(g - 40)*(g - 8)**2
What is u in 2*u**4/7 - 220*u**3/7 + 558*u**2 + 18144*u = 0?
-16, 0, 63
Factor 2*d**4/3 - 7*d**3/6 - 37*d**2 + 745*d/6 + 100/3.
(d - 5)**2*(d + 8)*(4*d + 1)/6
Factor -3*u**2/4 - 660*u - 145200.
-3*(u + 440)**2/4
Solve -2*m**4/5 + 8*m**3 + 2*m**2/5 - 8*m = 0 for m.
-1, 0, 1, 20
Let -5*p**5 - 85*p**4 + 315*p**3 + 245*p**2 - 1070*p + 600 = 0. What is p?
-20, -2, 1, 3
Determine u so that -5*u**4 - 60*u**3 + 540*u**2 = 0.
-18, 0, 6
Factor g**4 - 34*g**3 + 300*g**2 - 792*g.
g*(g - 22)*(g - 6)**2
Factor -2*y**4 + 2*y**3 + 8*y**2 - 8*y.
-2*y*(y - 2)*(y - 1)*(y + 2)
Suppose -o**3/2 + 25*o**2/2 - 33*o = 0. Calculate o.
0, 3, 22
Factor 2*p**4/23 - 144*p**3/23 + 2864*p**2/23 - 9792*p/23 + 9248/23.
2*(p - 34)**2*(p - 2)**2/23
Let -5*y**2 - 605*y - 12000 = 0. Calculate y.
-96, -25
Find p, given that 4*p**4 + 204*p**3 + 3236*p**2 + 14196*p - 17640 = 0.
-21, -10, 1
Factor d**2/5 - 124*d/5 - 252/5.
(d - 126)*(d + 2)/5
Suppose j**5/7 + 11*j**4 - 85*j**3/7 - 545*j**2/7 + 12*j + 468/7 = 0. What is j?
-78, -2, -1, 1, 3
Determine l, given that l**4 + 2*l**3 - 11*l**2 - 12*l = 0.
-4, -1, 0, 3
Suppose 14*k**3/3 - 1048*k**2/3 - 50*k = 0. Calculate k.
-1/7, 0, 75
Factor -4*i**5 - 8*i**4 + 8*i**2 + 4*i.
-4*i*(i - 1)*(i + 1)**3
Find v such that v**4/6 + 2*v**3/3 + 5*v**2/6 + v/3 = 0.
-2, -1, 0
Suppose -3*q**5 + 156*q**4 - 576*q**3 = 0. What is q?
0, 4, 48
What is n in n**3/6 + n**2/3 - 4*n/3 = 0?
-4, 0, 2
Let -t**2/4 + 107*t - 11449 = 0. What is t?
214
Factor -3*w**3 + 138*w**2 - 117*w - 810.
-3*(w - 45)*(w - 3)*(w + 2)
Let -10*f**5/9 + 8*f**4/9 + 10*f**3/9 - 8*f**2/9 = 0. What is f?
-1, 0, 4/5, 1
Find j such that -2*j**4/21 + 74*j**3/21 - 40*j**2/21 - 1112*j/21 - 480/7 = 0.
-2, 5, 36
Factor 3*p**4 + 21*p**3 - 27*p**2 - 21*p + 24.
3*(p - 1)**2*(p + 1)*(p + 8)
Find m, given that 4*m**2/7 - 76*m/7 + 352/7 = 0.
8, 11
Determine t so that -2*t**3/3 - 58*t**2 - 1682*t - 48778/3 = 0.
-29
Solve -u**2/8 - 5*u/2 - 25/2 = 0 for u.
-10
Let -2*t**2 - 140*t + 142 = 0. What is t?
-71, 1
Find s such that 2*s**5 - 10*s**4 - 18*s**3 + 106*s**2 + 16*s - 96 = 0.
-3, -1, 1, 4
Factor -2*f**3/15 - 44*f**2/5 - 64*f - 1856/15.
-2*(f + 4)**2*(f + 58)/15
What is n in -131072*n**2/19 - 1024*n/19 - 2/19 = 0?
-1/256
Solve -3*s**5 - 9*s**4 - 3*s**3 + 9*s**2 + 6*s = 0.
-2, -1, 0, 1
Factor h**5 + 6*h**4 + 5*h**3 - 12*h**2.
h**2*(h - 1)*(h + 3)*(h + 4)
Find b, given that -2*b**2/13 - 22*b/13 - 56/13 = 0.
-7, -4
Factor -5*k**2 + 3064*k - 2448.
-(k - 612)*(5*k - 4)
What is m in m**3/2 - 240*m**2 - 963*m/2 - 241 = 0?
-1, 482
Let j**3/2 + 299*j**2/2 - 2*j - 598 = 0. What is j?
-299, -2, 2
Factor -2*x**3 + 42*x**2 - 198*x - 242.
-2*(x - 11)**2*(x + 1)
Factor 9*b**2/2 + 33*b/2 + 15.
3*(b + 2)*(3*b + 5)/2
Determine c, given that 2*c**3/3 + 82*c**2/3 - 88*c/3 - 56 = 0.
-42, -1, 2
Factor 10*i**2/3 + 8*i + 14/3.
2*(i + 1)*(5*i + 7)/3
Factor z**2 - 36.
(z - 6)*(z + 6)
Let 3*q**2/5 - 204*q/5 - 639/5 = 0. What is q?
-3, 71
Factor 2*n**3/7 + 134*n**2/7 + 72*n.
2*n*(n + 4)*(n + 63)/7
Factor -2*o**3/7 - 432*o**2/7 - 856*o/7.
-2*o*(o + 2)*(o + 214)/7
Factor i**5/2 + 5*i**4/2 - 9*i**3/2 - 13*i**2/2 + 14*i - 6.
(i - 1)**3*(i + 2)*(i + 6)/2
Solve -3*k**5 - 15*k**4 + 159*k**3 - 393*k**2 + 384*k - 132 = 0 for k.
-11, 1, 2
Factor -28*u**2 + 232*u - 64.
-4*(u - 8)*(7*u - 2)
Let -10*u**3 + 45*u**2 - 35*u - 30 = 0. Calculate u.
-1/2, 2, 3
Factor -5*q**2 - 175*q + 370.
-5*(q - 2)*(q + 37)
Find c, given that 6*c**5 - 58*c**4 + 28*c**3 + 76*c**2 - 34*c - 18 = 0.
-1, -1/3, 1, 9
Determine t, given that -9*t**4/4 + 6*t**3 + 7*t**2/2 - 4*t + 3/4 = 0.
-1, 1/3, 3
Find v such that 2*v**5 + 78*v**4 + 148*v**3 - 4*v**2 - 150*v - 74 = 0.
-37, -1, 1
Factor -3*a**2 - 78*a + 168.
-3*(a - 2)*(a + 28)
Find u such that 2*u**5 - 14*u**4 + 38*u**3 - 50*u**2 + 32*u - 8 = 0.
1, 2
Determine w, given that 2*w**2 + 68*w + 336 = 0.
-28, -6
What is i in -2*i**3 - 168*i**2 = 0?
-84, 0
Determine f, given that f**2/5 - 4*f/5 - 12/5 = 0.
-2, 6
Factor u**2 + 445*u + 444.
(u + 1)*(u + 444)
Factor 1083*v**3 - 9975*v**2 + 2064*v - 108.
3*(v - 9)*(19*v - 2)**2
Factor 5*n**3 - 130*n**2 + 845*n.
5*n*(n - 13)**2
Let 63*h**3/4 - 7167*h**2/8 + 3117*h/4 - 126 = 0. Calculate h.
3/14, 2/3, 56
Factor -c**3/11 + 19*c/11 + 30/11.
-(c - 5)*(c + 2)*(c + 3)/11
Factor -2*f**5 - 18*f**4 + 44*f**3.
-2*f**3*(f - 2)*(f + 11)
Factor -196*a**2 - 272*a + 240.
-4*(a + 2)*(49*a - 30)
Determine g, given that -3*g**2/2 - 39*g/2 + 135 = 0.
-18, 5
Factor -2*h**3/11 + 8*h**2/11 - 6*h/11.
-2*h*(h - 3)*(h - 1)/11
Factor 25*m**4 - 1065*m**3 - 430*m**2.
5*m**2*(m - 43)*(5*m + 2)
Factor -4*x**5 - 92*x**4 - 576*x**3 - 1568*x**2 - 1984*x - 960.
-4*(x + 2)**4*(x + 15)
Factor -2*k**2/11 + 4404*k/11 - 4402/11.
-2*(k - 2201)*(k - 1)/11
What is r in -r**4/2 + 13*r**3/2 - 47*r**2/2 + 59*r/2 - 12 = 0?
1, 3, 8
Find h, given that -5*h**3 + 160*h**2 - 580*h + 560 = 0.
2, 28
Factor -12*z**2 - 261*z/2 + 33/2.
-3*(z + 11)*(8*z - 1)/2
Factor 2*r**2 + 2440*r + 744200.
2*(r + 610)**2
Let 3*h**2 + 132*h + 1449 = 0. Calculate h.
-23, -21
Factor 4*h**3/3 - 4*h**2/3 - 64*h/3 - 80/3.
4*(h - 5)*(h + 2)**2/3
Solve -5*b**5/4 + 15*b**3 - 20*b**2 = 0 for b.
-4, 0, 2
Solve -9*x**3 + 219*x**2 + 396*x - 156 = 0 for x.
-2, 1/3, 26
Let 3*r**4/2 - 27*r**3/2 - 60*r**2 + 72*r = 0. What is r?
-4, 0, 1, 12
Factor g**5 - g**4 - 14*g**3 - 26*g**2 - 19*g - 5.
(g - 5)*(g + 1)**4
Factor 5*y**4 + 30*y**3 + 25*y**2.
5*y**2*(y + 1)*(y + 5)
Suppose 3*l**5 - 51*l**4 - 87*l**3 + 2835*l**2 - 40500 = 0. Calculate l.
-5, 6, 15
Determine q so that -5*q**2 - 4115*q = 0.
-823, 