3/4 + o**2/4 - 29*o/4 = 0 for o.
-1, 0, 1, 29
Factor -5*b**3 + 605*b**2 + 3785*b + 3175.
-5*(b - 127)*(b + 1)*(b + 5)
Factor 10*o**2/3 - 128*o/3 - 26/3.
2*(o - 13)*(5*o + 1)/3
Find k such that k**2/6 - 16*k/3 - 11/2 = 0.
-1, 33
Factor 2*q**4/15 - 14*q**3/15 - 44*q**2/5 - 296*q/15 - 208/15.
2*(q - 13)*(q + 2)**3/15
Determine l so that -2*l**3/13 + 8*l**2/13 + 50*l/13 - 56/13 = 0.
-4, 1, 7
Determine f so that -2*f**4/9 - 208*f**3/9 - 398*f**2/3 - 196*f = 0.
-98, -3, 0
Factor a**4 - a**3 - 2*a**2.
a**2*(a - 2)*(a + 1)
Find d such that 2*d**3/9 + 26*d**2/9 + 110*d/9 + 50/3 = 0.
-5, -3
What is r in -2*r**2/11 + 5900*r/11 - 4351250/11 = 0?
1475
Suppose -r**2/7 - 2*r/7 + 120/7 = 0. Calculate r.
-12, 10
Solve 4*f**2 - 92*f - 560 = 0 for f.
-5, 28
Factor -2*h**2/5 - 928*h/5 - 107648/5.
-2*(h + 232)**2/5
Solve 21*f**2 - 171*f - 162 = 0.
-6/7, 9
Factor -a**3/4 - 7*a**2 + a + 28.
-(a - 2)*(a + 2)*(a + 28)/4
Factor d**5 - 10*d**4 + 22*d**3 + 28*d**2 - 55*d - 50.
(d - 5)**2*(d - 2)*(d + 1)**2
Suppose 2*j**4/3 + 16*j**3/3 + 4*j**2 - 16*j/3 - 14/3 = 0. What is j?
-7, -1, 1
Factor -11*p**2/3 + 629*p/3 - 38.
-(p - 57)*(11*p - 2)/3
Find n such that n**2/5 - 156*n/5 - 128 = 0.
-4, 160
Factor -b**2/3 - 6910*b/3 - 11937025/3.
-(b + 3455)**2/3
Factor -1805*h**5 + 3420*h**4 - 1620*h**3.
-5*h**3*(19*h - 18)**2
Let -2*l**5 + 40*l**4 + 4*l**3 - 80*l**2 - 2*l + 40 = 0. What is l?
-1, 1, 20
Factor -72*a**2/5 - 744*a/5 - 1922/5.
-2*(6*a + 31)**2/5
Find p, given that -p**5/9 - 71*p**4/9 + 145*p**3/9 - 73*p**2/9 = 0.
-73, 0, 1
Factor -o**5 - 38*o**4 + o**3 + 38*o**2.
-o**2*(o - 1)*(o + 1)*(o + 38)
Suppose 5*v**3 - 20*v**2 - 5*v + 20 = 0. What is v?
-1, 1, 4
Determine f, given that 3*f**2/2 - 13*f/4 + 1/2 = 0.
1/6, 2
What is i in -i**2 - 4*i - 4 = 0?
-2
Factor -20*r**2 + 68*r - 24.
-4*(r - 3)*(5*r - 2)
Determine x so that 3*x**3/5 + 63*x**2/5 - 27*x + 69/5 = 0.
-23, 1
Factor -2*a**3/11 - 4*a**2/11 + 26*a/11 - 20/11.
-2*(a - 2)*(a - 1)*(a + 5)/11
Suppose 4*d**5 - 26*d**4 + 62*d**3 - 64*d**2 + 24*d = 0. Calculate d.
0, 1, 3/2, 2
Determine m, given that 36*m**3 + 156*m**2 - 116*m + 20 = 0.
-5, 1/3
Factor d**3/2 + 10*d**2 + 54*d + 72.
(d + 2)*(d + 6)*(d + 12)/2
Factor g**5 + 3*g**4 - 5*g**3 - 3*g**2 + 4*g.
g*(g - 1)**2*(g + 1)*(g + 4)
What is b in -52*b**5 - 200*b**4 + 32*b**3 + 832*b**2 + 704*b - 128 = 0?
-2, 2/13, 2
Factor -2*d**3/3 + 76*d**2/3 - 74*d/3.
-2*d*(d - 37)*(d - 1)/3
Determine s, given that 4*s**4 + 4*s**3 - 40*s**2 + 32*s = 0.
-4, 0, 1, 2
Factor 2*u**2/7 - 1640*u/7 + 336200/7.
2*(u - 410)**2/7
Factor -3*m**3/4 + 93*m**2/4 + 3*m/4 - 93/4.
-3*(m - 31)*(m - 1)*(m + 1)/4
What is f in 35*f**5 - 220*f**4 + 480*f**3 - 400*f**2 + 80*f = 0?
0, 2/7, 2
Let j**3/2 - 11*j**2/2 - 20*j - 14 = 0. Calculate j.
-2, -1, 14
Factor -3*c**2/4 + 9*c/4 + 21.
-3*(c - 7)*(c + 4)/4
Let v**2/6 + 2*v - 18 = 0. What is v?
-18, 6
Factor -5*a**4 + 13*a**3 + 14*a**2 - 52*a + 24.
-(a - 2)**2*(a + 2)*(5*a - 3)
Factor 2*n**4/5 - 12*n**3/5 + 64*n/5.
2*n*(n - 4)**2*(n + 2)/5
Determine q so that -5*q**2 + 125*q - 330 = 0.
3, 22
Suppose 21*o**3/8 - 99*o**2/8 = 0. Calculate o.
0, 33/7
Factor 2*x**4 + 48*x**3 - 2*x**2 - 48*x.
2*x*(x - 1)*(x + 1)*(x + 24)
Factor -3*u**4 + 120*u**3 - 1200*u**2.
-3*u**2*(u - 20)**2
Factor l**5 + 5*l**4 + 6*l**3 - 2*l**2 - 7*l - 3.
(l - 1)*(l + 1)**3*(l + 3)
Factor -w**2/5 - 76*w/5.
-w*(w + 76)/5
Factor -2*t**4 + 2*t**2.
-2*t**2*(t - 1)*(t + 1)
Factor -21*d**2 + 153*d - 42.
-3*(d - 7)*(7*d - 2)
Suppose 3*g**5 + 21*g**4 + 54*g**3 + 66*g**2 + 39*g + 9 = 0. Calculate g.
-3, -1
What is q in 64*q**5 - 224*q**4 - 444*q**3 - 176*q**2 - 20*q = 0?
-1, -1/4, 0, 5
Factor 4*p**3 + 4*p**2 - 68*p + 60.
4*(p - 3)*(p - 1)*(p + 5)
Solve 2*y**2/7 - 250*y/7 - 768/7 = 0 for y.
-3, 128
Factor 2*z**2 + 134*z - 276.
2*(z - 2)*(z + 69)
Factor -3*p**2 + 3186*p - 845883.
-3*(p - 531)**2
Solve -2*b**5/19 + 46*b**4/19 - 324*b**3/19 + 680*b**2/19 - 400*b/19 = 0.
0, 1, 2, 10
Factor 3*u**2/8 - 279*u/8 - 141/4.
3*(u - 94)*(u + 1)/8
Factor -j**5/3 + 161*j**4/3 - 614*j**3 + 2718*j**2 - 5391*j + 4023.
-(j - 149)*(j - 3)**4/3
Determine a, given that 2*a**3/7 - 314*a**2/7 - 634*a/7 - 318/7 = 0.
-1, 159
Find s such that 5*s**5 - 6025*s**4 - 36270*s**3 - 72620*s**2 - 48440*s = 0.
-2, 0, 1211
Determine j so that -18*j**5 - 132*j**4 - 314*j**3 - 264*j**2 - 72*j = 0.
-3, -2/3, 0
Find o, given that -3*o**5 + 39*o**4 - 99*o**3 - 231*o**2 + 294*o = 0.
-2, 0, 1, 7
Determine k, given that -6*k**3 - 141*k**2 - 792*k + 432 = 0.
-12, 1/2
Factor -4*u**3 + 18*u**2 - 20*u + 6.
-2*(u - 3)*(u - 1)*(2*u - 1)
Let 4*j**2 - 24*j + 32 = 0. What is j?
2, 4
Solve r**3/3 - 50*r**2/3 + 97*r/3 - 16 = 0 for r.
1, 48
Let 3*p**3 - 48*p**2 + 135*p + 486 = 0. What is p?
-2, 9
Factor -5*b**3 - 50*b**2 + 55*b.
-5*b*(b - 1)*(b + 11)
Find g such that -4*g**2/5 + 144*g/5 = 0.
0, 36
Suppose -2*v**4 - 28*v**3 - 72*v**2 - 68*v - 22 = 0. Calculate v.
-11, -1
Factor 5*o**4 + 175*o**3 + 895*o**2 + 725*o.
5*o*(o + 1)*(o + 5)*(o + 29)
Factor -4*q**3/7 - 260*q**2/7 + 2272*q/7 - 4672/7.
-4*(q - 4)**2*(q + 73)/7
Determine f, given that 27*f**3 - 21*f - 6 = 0.
-2/3, -1/3, 1
Factor -3*h**3/2 + 159*h**2/2 - 2709*h/2 + 14553/2.
-3*(h - 21)**2*(h - 11)/2
Factor 3*z**3/4 - 21*z**2/4 - 30*z - 33.
3*(z - 11)*(z + 2)**2/4
Let -27*w**5 + 801*w**4 - 2145*w**3 - 11469*w**2 + 8244*w - 1404 = 0. Calculate w.
-3, 1/3, 6, 26
What is d in 289*d**4/11 + 340*d**3/11 - 818*d**2/11 - 540*d/11 + 729/11 = 0?
-27/17, 1
Let -25*d**4 + 10*d**3 + 25*d**2 - 10*d = 0. What is d?
-1, 0, 2/5, 1
Factor -324*h**5 + 8244*h**4 - 3616*h**3 + 400*h**2.
-4*h**2*(h - 25)*(9*h - 2)**2
Factor -j**2/2 - 303*j - 91809/2.
-(j + 303)**2/2
Let -3*j**5 - 102*j**4 - 1152*j**3 - 4602*j**2 - 3549*j = 0. What is j?
-13, -7, -1, 0
What is k in -2*k**4/11 + 14*k**3/11 - 34*k**2/11 + 34*k/11 - 12/11 = 0?
1, 2, 3
Factor -4*a**2 + 440*a + 1824.
-4*(a - 114)*(a + 4)
Suppose -5*z**5 + 15*z**4 - 20*z**2 = 0. Calculate z.
-1, 0, 2
Factor 3*u**2/5 - 27/5.
3*(u - 3)*(u + 3)/5
Determine v, given that 3*v**2 - 48*v + 180 = 0.
6, 10
Suppose 23*i**3/2 + 121*i**2/6 + 28*i/3 + 2/3 = 0. Calculate i.
-1, -2/3, -2/23
Suppose 2*l**3 - 12*l**2 + 10*l = 0. What is l?
0, 1, 5
Factor 2*c**4 + 80*c**3 + 222*c**2 - 8*c - 296.
2*(c - 1)*(c + 2)**2*(c + 37)
Suppose 55*y**4 + 120*y**3 - 35*y**2 - 120*y - 20 = 0. Calculate y.
-2, -1, -2/11, 1
Suppose 2*a**5 - 30*a**4 + 86*a**3 + 294*a**2 - 736*a + 384 = 0. What is a?
-3, 1, 8
Factor 3*d**2 - 924*d + 71148.
3*(d - 154)**2
Determine m, given that -2*m**4/23 - 8*m**3/23 + 52*m**2/23 + 120*m/23 - 450/23 = 0.
-5, 3
Let 3*n**3 + 300*n**2 + 588*n = 0. What is n?
-98, -2, 0
Find o such that 3*o**3 + 252*o**2 + 1383*o - 1638 = 0.
-78, -7, 1
Factor -3*f**2/2 - 114*f - 2166.
-3*(f + 38)**2/2
Let 3*u**5 - 498*u**4 + 20658*u**3 + 1500*u**2 - 62997*u + 41334 = 0. What is u?
-2, 1, 83
Determine a so that a**4/8 - 23*a**3/8 + 71*a**2/8 + 95*a/8 = 0.
-1, 0, 5, 19
Let -2*y**4/13 - 10*y**3/13 - 12*y**2/13 = 0. What is y?
-3, -2, 0
Factor -2450*x**2/3 + 280*x/3 - 8/3.
-2*(35*x - 2)**2/3
Factor 3*p**2 + 8046*p + 5394843.
3*(p + 1341)**2
Suppose 3*c**5 + 87*c**4 + 261*c**3 - 5211*c**2 + 13608*c - 8748 = 0. Calculate c.
-18, 1, 3
Factor a**4 - 50*a**3 + 664*a**2 - 1182*a + 567.
(a - 27)*(a - 21)*(a - 1)**2
Factor r**5/5 + 36*r**4/5 + 417*r**3/5 + 1718*r**2/5 + 588*r + 360.
(r + 2)**3*(r + 15)**2/5
Let -11664*z**4/5 + 2376*z**3 - 217*z**2/5 + z/5 = 0. What is z?
0, 1/108, 1
Factor -16*r**2 + 5332*r - 1332.
-4*(r - 333)*(4*r - 1)
Factor 10*t**3/11 + 8*t**2/11 - 10*t/11 - 8/11.
2*(t - 1)*(t + 1)*(5*t + 4)/11
Factor -2*j**5/7 - 580*j**4/7 - 42624*j**3/7 - 82944*j**2/7.
-2*j**2*(j + 2)*(j + 144)**2/7
Factor -5*x**2 - 7910*x - 3128405.
-5*(x + 791)**2
Factor -3*y**5/2 - 18*y**4 - 6*y**3 + 288*y**2 - 384*y.
-3*y*(y - 2)**2*(y + 8)**2/2
Suppose 3*d**4 + 213*d**3 - 231*d**2 - 1089*d - 648 = 0. What is d?
-72, -1, 3
Determine l so that -66*l**3/5 - 207*l**2/5 - 159*l/5 - 18/5 = 0.
-2, -1, -3/22
What is n in 3*n**2/8 + 135*n/8 + 189/4 = 0?
-42, -3
Determine g so that 3*g**4 + 33*g**3 + 99*g**2 + 15*g - 150 = 0.
-5, -2, 1
Factor -3*x**4 - 15*x**3 + 375*x**2 - 1125*x.
-3*x*(x - 5)**2*(x + 15)
Factor 165*j**3/2 + 26*j**2 + 2*j.
j*(11*j + 2)*(15*j + 2)/2
Factor 2*u**5 + 9*u**4 + 11*u**3 - 4*u.
u*(u + 1)*(u + 2)**2*(2*u - 1)
