hat x**2/8 - 69*x/8 + 106 = 0.
16, 53
Find n such that 4*n**5 + 12*n**4 - 56*n**3 - 72*n**2 + 52*n + 60 = 0.
-5, -1, 1, 3
Factor 2*j**3 - 24*j**2 + 18*j + 44.
2*(j - 11)*(j - 2)*(j + 1)
Suppose -5*a**3/4 - 15*a**2 - 225*a/4 - 135/2 = 0. Calculate a.
-6, -3
What is o in -2*o**4/3 - 16*o**3/3 - 34*o**2/3 + 4*o/3 + 16 = 0?
-4, -3, -2, 1
Factor 4*p**3 + 8*p**2 - 92*p - 240.
4*(p - 5)*(p + 3)*(p + 4)
What is p in -5*p**2 - 520*p - 13520 = 0?
-52
Factor -3*s**2/2 + 9*s/2 + 6.
-3*(s - 4)*(s + 1)/2
Suppose -20*d**2 + 124*d - 192 = 0. Calculate d.
3, 16/5
Factor 3*u**2/2 + 6*u - 15/2.
3*(u - 1)*(u + 5)/2
Suppose n**5/6 + n**4/3 - n**3/3 - 4*n**2/3 - 7*n/6 - 1/3 = 0. What is n?
-1, 2
Solve 24*g**5/17 + 146*g**4/17 + 226*g**3/17 + 6*g**2 - 10*g/17 - 8/17 = 0.
-4, -1, -1/3, 1/4
Let 2*a**2 - 2436*a + 741762 = 0. What is a?
609
Factor -2*h**3/3 - 34*h**2/3 + 178*h/3 + 70.
-2*(h - 5)*(h + 1)*(h + 21)/3
Let -6*a**5 + 58*a**4 - 10*a**3 - 610*a**2 + 376*a + 192 = 0. Calculate a.
-3, -1/3, 1, 4, 8
Factor -2*f**3/5 - 4*f**2/5 + 96*f/5.
-2*f*(f - 6)*(f + 8)/5
Suppose -3*n**3 - 69*n**2 - 321*n - 255 = 0. Calculate n.
-17, -5, -1
Factor 4*g**3 + 52*g**2.
4*g**2*(g + 13)
Let -2*o**2/3 - 5800*o/3 - 4205000/3 = 0. Calculate o.
-1450
Factor t**5/4 + 2*t**4 + 21*t**3/4 + 11*t**2/2 + 2*t.
t*(t + 1)**2*(t + 2)*(t + 4)/4
What is d in -15*d**4 + 48*d**3 - 9*d**2 - 60*d + 12 = 0?
-1, 1/5, 2
Factor -f**4/5 - 71*f**3/5 - 684*f**2/5 - 1404*f/5 + 432.
-(f - 1)*(f + 6)**2*(f + 60)/5
Factor -3*x**4 + 96*x**3 + 900*x**2 + 2352*x + 1920.
-3*(x - 40)*(x + 2)**2*(x + 4)
Factor y**3/5 + 4*y**2/5 - 16*y/5 - 64/5.
(y - 4)*(y + 4)**2/5
Factor r**3 + 10*r**2 - 37*r + 26.
(r - 2)*(r - 1)*(r + 13)
Factor 2*i**4/5 - 76*i**3/5.
2*i**3*(i - 38)/5
Factor 3*r**3 - 506*r**2/3 + 7168*r/3 - 1568/3.
(r - 28)**2*(9*r - 2)/3
Find l, given that 3*l**5 + 14*l**4 - 55*l**3 - 354*l**2 - 448*l - 160 = 0.
-4, -1, -2/3, 5
Find j such that 5*j**2 - 13290*j + 8831205 = 0.
1329
Factor 16*y**4 + 126*y**3 + 192*y**2 + 70*y - 12.
2*(y + 1)**2*(y + 6)*(8*y - 1)
Solve -5*g**3/2 - 195*g**2 - 6765*g/2 + 16810 = 0 for g.
-41, 4
Factor -f**4 + 3*f**3 + 36*f**2 + 32*f.
-f*(f - 8)*(f + 1)*(f + 4)
Factor 3*r**2 - 3*r - 36.
3*(r - 4)*(r + 3)
Suppose -a**4/3 + 4*a**3/3 - 4*a**2/3 = 0. Calculate a.
0, 2
Factor 2*p**3/7 + 74*p**2/7 - 248*p/7 - 320/7.
2*(p - 4)*(p + 1)*(p + 40)/7
Let 5*c**2 + 315*c + 4750 = 0. Calculate c.
-38, -25
What is c in -2*c**5/11 + 8*c**4/11 + 4*c**3/11 - 24*c**2/11 - 18*c/11 = 0?
-1, 0, 3
Determine l, given that -2*l**5/11 + 138*l**4/11 + 430*l**3/11 + 150*l**2/11 - 428*l/11 - 288/11 = 0.
-2, -1, 1, 72
What is g in 2*g**2 - 868*g - 4390 = 0?
-5, 439
Factor -16*c**2/7 - 9500*c/7 + 2376/7.
-4*(c + 594)*(4*c - 1)/7
Factor -3*d**4 - 9*d**3 + 42*d**2 + 36*d - 120.
-3*(d - 2)**2*(d + 2)*(d + 5)
Find q such that 3*q**2 + 27*q - 66 = 0.
-11, 2
Factor -5*x**3 - 130*x**2 - 345*x.
-5*x*(x + 3)*(x + 23)
Factor -2*s**4/5 + 3546*s**3/5 - 1573536*s**2/5 + 1569992*s/5.
-2*s*(s - 886)**2*(s - 1)/5
Factor -r**5 + 10*r**4 + 37*r**3 + 26*r**2.
-r**2*(r - 13)*(r + 1)*(r + 2)
Determine i, given that -25*i**5 - 660*i**4 + 1140*i**3 + 560*i**2 = 0.
-28, -2/5, 0, 2
Solve -5*q**4 - 600*q**3 - 26730*q**2 - 522720*q - 3773385 = 0 for q.
-33, -21
Suppose 15*k**5/2 + 5*k**4 - 30*k**3 - 20*k**2 = 0. What is k?
-2, -2/3, 0, 2
Factor 4*v**5 + 8*v**4 - 12*v**3 - 32*v**2 - 16*v.
4*v*(v - 2)*(v + 1)**2*(v + 2)
Factor u**3/7 - 2*u**2/7 + u/7.
u*(u - 1)**2/7
Factor -2*n**2/5 - 26*n - 128/5.
-2*(n + 1)*(n + 64)/5
Solve -2*p**4/5 - 16*p**3/5 - 6*p**2 + 16*p/5 + 32/5 = 0.
-4, -1, 1
Find f such that -15*f**5/4 + 1941*f**4/4 + 1215*f**3/4 - 5853*f**2/4 + 93*f + 585 = 0.
-2, -3/5, 1, 130
Find l such that -4*l**3 + 56*l**2 - 44*l - 104 = 0.
-1, 2, 13
Suppose -35*h**5 + 95*h**4 + 170*h**3 + 40*h**2 = 0. Calculate h.
-1, -2/7, 0, 4
Factor n**2 - 46*n.
n*(n - 46)
Factor 8*q**3/13 + 1618*q**2/13 + 82012*q/13 + 20402/13.
2*(q + 101)**2*(4*q + 1)/13
Factor 18*m**4 + 132*m**3 + 314*m**2 + 264*m + 72.
2*(m + 3)**2*(3*m + 2)**2
Factor -9*f**3 + 7*f**2 + 182*f + 40.
-(f - 5)*(f + 4)*(9*f + 2)
Factor o**3 + 2*o**2 - 3*o.
o*(o - 1)*(o + 3)
Find p, given that -48*p**4 + 744*p**3 + 4221*p**2 + 1968*p + 240 = 0.
-4, -1/4, 20
Factor -18*u**3 - 7914*u**2 + 10576*u - 3528.
-2*(u + 441)*(3*u - 2)**2
Determine w so that 42*w**3/5 + 171*w**2/5 + 36*w + 12/5 = 0.
-2, -1/14
Factor -2*p**3 + 154*p**2 - 732*p + 864.
-2*(p - 72)*(p - 3)*(p - 2)
Find d, given that 3*d**5 - 51*d**4 + 240*d**3 - 192*d**2 = 0.
0, 1, 8
Factor -5*f**3 - 335*f**2 + 685*f - 345.
-5*(f - 1)**2*(f + 69)
What is x in -3*x**5 + 291*x**4 + 297*x**3 - 291*x**2 - 294*x = 0?
-1, 0, 1, 98
Determine o, given that -o**2/3 + 61*o - 1232/3 = 0.
7, 176
Suppose 5*q**3 + 55*q**2 + 120*q = 0. What is q?
-8, -3, 0
Solve 4*h**4 - 428*h**3 + 408*h**2 + 1712*h - 1696 = 0 for h.
-2, 1, 2, 106
Solve 3*g**5/7 + 9*g**4/7 - 39*g**3/7 - 153*g**2/7 - 108*g/7 = 0 for g.
-3, -1, 0, 4
Suppose w**4/5 - 3*w**3/5 - 49*w**2/5 - 9*w = 0. What is w?
-5, -1, 0, 9
Solve -656*i**2 - 652*i + 4 = 0 for i.
-1, 1/164
Factor -4*k**3 - 2412*k**2 - 364812*k - 362404.
-4*(k + 1)*(k + 301)**2
Determine t, given that 2*t**3/9 + 2*t**2/9 = 0.
-1, 0
Solve -3*n**2 + 14331*n = 0 for n.
0, 4777
Suppose -a**3/2 - 557*a**2/8 + 421*a/8 + 35/2 = 0. What is a?
-140, -1/4, 1
Suppose -2*s**5 - 20*s**4 + 12*s**3 + 104*s**2 - 154*s + 60 = 0. Calculate s.
-10, -3, 1
Factor 2*q**2 + 96*q + 1152.
2*(q + 24)**2
Suppose -14*j**4/9 + 1676*j**3/9 + 1294*j**2/3 + 2680*j/9 + 488/9 = 0. What is j?
-1, -2/7, 122
Suppose l**5/3 + 106*l**4 + 34325*l**3/3 + 1321112*l**2/3 + 2303808*l + 5624320/3 = 0. What is l?
-104, -5, -1
Let u**3 + 5*u**2 + 4*u = 0. Calculate u.
-4, -1, 0
Determine n so that 3*n**3 + 393*n**2 - 1206*n = 0.
-134, 0, 3
Factor -3*m**3 + 1167*m**2 + 2346*m.
-3*m*(m - 391)*(m + 2)
Factor 3*q**4 - 6*q**3 - 15*q**2 + 18*q.
3*q*(q - 3)*(q - 1)*(q + 2)
Factor s**3/3 - 211*s/3 + 70.
(s - 14)*(s - 1)*(s + 15)/3
Suppose 4*t**4/5 + 49*t**3/5 - 8*t**2 - 13*t/5 = 0. What is t?
-13, -1/4, 0, 1
Factor -2*v**2/3 - 160*v/3 - 3200/3.
-2*(v + 40)**2/3
Suppose -5*d**5/4 + 55*d**4/4 - 85*d**3/2 + 115*d**2/2 - 145*d/4 + 35/4 = 0. Calculate d.
1, 7
Let 3*j**4/7 - 15*j**3/7 - 3*j**2 + 15*j/7 + 18/7 = 0. What is j?
-1, 1, 6
What is j in -15*j**4/4 + 99*j**3/4 + 123*j**2 + 45*j = 0?
-3, -2/5, 0, 10
Factor -3*d**2/5 - 1278*d/5.
-3*d*(d + 426)/5
Find y, given that y**2 - 157*y - 318 = 0.
-2, 159
Factor 2*l**2/15 - 32*l/15 + 2.
2*(l - 15)*(l - 1)/15
Factor -f**4 + 7*f**3 - 6*f**2 - 28*f + 40.
-(f - 5)*(f - 2)**2*(f + 2)
Factor 2*u**3/5 + 4*u**2/5 - 2*u/5 - 4/5.
2*(u - 1)*(u + 1)*(u + 2)/5
Factor -4*f**2 + 13472*f - 11343424.
-4*(f - 1684)**2
Let 5*y**4/4 + 65*y**3/2 + 615*y**2/4 + 125*y/2 - 250 = 0. Calculate y.
-20, -5, -2, 1
Find y such that 2*y**2 + 32*y + 110 = 0.
-11, -5
Solve -u**5 - 17*u**4 + 2*u**3 + 34*u**2 - u - 17 = 0.
-17, -1, 1
Solve z**5/3 + 71*z**4/6 - 41*z**3/6 - 91*z**2/3 - 12*z = 0.
-36, -1, -1/2, 0, 2
Factor k**3/4 + 657*k**2 + 575532*k + 168055344.
(k + 876)**3/4
Factor 2*m**4 + 80*m**3 + 74*m**2 - 156*m.
2*m*(m - 1)*(m + 2)*(m + 39)
Suppose 5*o**5 + 70*o**4 + 135*o**3 - 370*o**2 - 440*o = 0. Calculate o.
-11, -4, -1, 0, 2
Determine g, given that 7*g**3/2 - 32*g**2 + 32*g = 0.
0, 8/7, 8
Factor -4*t**4 + 1976*t**3 - 246004*t**2 + 486096*t - 242064.
-4*(t - 246)**2*(t - 1)**2
Factor -4*m**4 + 116*m**3 - 1188*m**2 + 4860*m - 5832.
-4*(m - 9)**3*(m - 2)
Factor -2*y**3 + 8*y**2 - 6*y.
-2*y*(y - 3)*(y - 1)
Find c, given that 3*c**5 - 120*c**4 + 327*c**3 + 258*c**2 - 1356*c + 888 = 0.
-2, 1, 2, 37
Factor -2*q**2/9 + 38*q/9 - 4.
-2*(q - 18)*(q - 1)/9
Suppose -4*s**2/7 + 492*s/7 - 488/7 = 0. What is s?
1, 122
Factor n**3/2 - 12*n**2 - 55*n/2 + 39.
(n - 26)*(n - 1)*(n + 3)/2
Factor r**4/8 - 21*r**3/8 + 97*r**2/8 + 165*r/8 - 121/4.
(r - 11)**2*(r - 1)*(r + 2)/8
Determine d so that d**3 - 40*d**2 + 37*d + 78 = 0.
-1, 2, 39
Factor 2*o**2/3 - 2*o - 12.
2*(o - 6)*(o + 3)/3
Determine h, given that -70*h**2/3 + 58*h/3 + 4 = 0.
-6/35, 1
Factor -2*i**2/17 + 28*i/17 - 98/17.
-2*(i - 7)**2/17
Solve 21*c**5 - 387*c**4 + 2061*c**3 - 3921*c**2 + 1170*c + 2376 = 0 for c.
-4/7, 2, 3, 11
Factor s**2/2 + 325*s.
s*(s + 650)/2
Factor 5*c**2/4 + 235*c/4 + 925/2.
5*(c + 10)*(c + 37)/4
Factor