o**2/3 = 0.
-5, 0, 2/9
Solve 6*j**5 - 2*j**4 - 130*j**3 + 162*j**2 + 44*j - 80 = 0 for j.
-5, -2/3, 1, 4
Factor -5*x**2 + 500*x + 22780.
-5*(x - 134)*(x + 34)
Solve -2*p**4/3 + 16*p**3 + 52*p**2 + 160*p/3 + 18 = 0.
-1, 27
Factor -2*a**3/3 - 46*a**2/3 + 16*a.
-2*a*(a - 1)*(a + 24)/3
Solve -11*r**5/3 - 47*r**4/3 - r**3/3 + 47*r**2/3 + 4*r = 0.
-4, -1, -3/11, 0, 1
Solve b**3/4 + 3*b**2 + 9*b/4 - 11/2 = 0 for b.
-11, -2, 1
Determine j, given that -2*j**5 - 32*j**4 - 24*j**3 + 100*j**2 + 154*j + 60 = 0.
-15, -1, 2
Factor -4*g**4 - 152*g**3 - 1572*g**2 - 4160*g + 5888.
-4*(g - 1)*(g + 8)**2*(g + 23)
Factor -3*c**3/2 - 11*c**2/2 + 12*c + 10.
-(c - 2)*(c + 5)*(3*c + 2)/2
Factor p**5 - 42*p**4 + 584*p**3 - 2576*p**2 - 2352*p + 10976.
(p - 14)**3*(p - 2)*(p + 2)
Factor -2*t**3/9 + 4*t**2/9 + 2*t/3.
-2*t*(t - 3)*(t + 1)/9
Factor 5*b**4 - 25*b**3 + 45*b**2 - 35*b + 10.
5*(b - 2)*(b - 1)**3
Determine j so that 15*j**4 + 51*j**3 - 42*j**2 - 24*j = 0.
-4, -2/5, 0, 1
Factor 2*q**3/11 + 38*q**2/11 + 140*q/11.
2*q*(q + 5)*(q + 14)/11
Find s such that -12*s**5 - 4*s**4 + 36*s**3 - 12*s**2 - 8*s = 0.
-2, -1/3, 0, 1
Factor 3*w**3 + 111*w**2 + 210*w.
3*w*(w + 2)*(w + 35)
Factor -2*t**4 - 58*t**3 + 326*t**2 - 470*t + 204.
-2*(t - 3)*(t - 1)**2*(t + 34)
Solve -3*d**2 + 38*d + 13 = 0 for d.
-1/3, 13
Determine d so that 4*d**2 + 540*d - 3384 = 0.
-141, 6
Factor -3*r**2/4 - 5637*r/2 - 10591923/4.
-3*(r + 1879)**2/4
Solve -5*s**3/4 + 175*s**2/4 - 515*s/2 + 350 = 0.
2, 5, 28
Factor 2*f**2 - 6396*f + 5113602.
2*(f - 1599)**2
Determine u, given that -u**4/4 - u**3/2 + 5*u**2/4 + 3*u/2 = 0.
-3, -1, 0, 2
Suppose 2541*r**3/2 - 5907*r**2 + 7632*r - 1728 = 0. Calculate r.
2/7, 24/11
Let -7*i**4 - 7180*i**3 - 1832928*i**2 + 4223024*i - 1056784 = 0. What is i?
-514, 2/7, 2
Factor -2*h**2 - 368*h + 9064.
-2*(h - 22)*(h + 206)
What is x in -5*x**3 + 4395*x**2 - 1287735*x + 125768785 = 0?
293
Suppose 2*s**3/3 - 26*s/3 + 8 = 0. What is s?
-4, 1, 3
Factor -2*z**3 + 4*z**2 + 86*z + 80.
-2*(z - 8)*(z + 1)*(z + 5)
Determine j, given that -5*j**2 - 25*j - 20 = 0.
-4, -1
Solve -3*y**5 + 33*y**4 - 9*y**3 - 405*y**2 = 0 for y.
-3, 0, 5, 9
Factor -3*i**3/5 - 537*i**2/5 - 534*i/5.
-3*i*(i + 1)*(i + 178)/5
Let 4*u**3/3 - 12*u = 0. Calculate u.
-3, 0, 3
Suppose -s**2 - 143*s = 0. What is s?
-143, 0
Factor -3*f**5 + 9*f**3 + 6*f**2.
-3*f**2*(f - 2)*(f + 1)**2
Find s such that 5*s**3 + 810*s**2 + 4725*s + 7020 = 0.
-156, -3
Solve -b**2/3 - 350*b/3 = 0 for b.
-350, 0
Factor 2*c**3 - 66*c**2 + 576*c - 512.
2*(c - 16)**2*(c - 1)
Suppose 4*o**4/9 + 20*o**3/9 - 4*o**2/9 - 68*o/9 + 16/3 = 0. What is o?
-4, -3, 1
Factor 4*n**3 - 10890*n**2 + 16328*n - 5442.
2*(n - 2721)*(n - 1)*(2*n - 1)
Determine k, given that -2*k**4/9 + 4*k**3/3 + 8*k**2/3 - 76*k/9 + 14/3 = 0.
-3, 1, 7
Suppose -5*f**3 - 255*f**2 + 525*f - 265 = 0. What is f?
-53, 1
Determine z, given that -3*z**2 - 171*z = 0.
-57, 0
Let 2*x**4 + 880*x**3 + 95916*x**2 - 194480*x + 97682 = 0. What is x?
-221, 1
Factor -5*c**3/4 - 279*c**2/4 + 341*c/4 - 57/4.
-(c - 1)*(c + 57)*(5*c - 1)/4
Factor 3*v**3/5 + 24*v**2/5 + 21*v/5.
3*v*(v + 1)*(v + 7)/5
What is a in a**4/7 - 22*a**3/7 + 39*a**2/7 + 22*a/7 - 40/7 = 0?
-1, 1, 2, 20
What is p in p**4 + 1847*p**3/5 + 733*p**2/5 - 1847*p/5 - 738/5 = 0?
-369, -1, -2/5, 1
Suppose -4*j**4 + 132*j**3 + 432*j**2 + 16*j - 576 = 0. Calculate j.
-2, 1, 36
Factor 3*y**3 + 27*y**2 - 66*y.
3*y*(y - 2)*(y + 11)
Factor -3*h**4/2 - 156*h**3 - 3561*h**2 + 25740*h - 81675/2.
-3*(h - 3)**2*(h + 55)**2/2
Factor 3*i**3/5 + 21*i**2/5 - 24*i/5.
3*i*(i - 1)*(i + 8)/5
Let -10*k**4/3 + 838*k**3/3 + 1724*k**2/5 - 6136*k/15 + 272/3 = 0. Calculate k.
-2, 2/5, 85
Factor -4*i**4 - 244*i**3 - 4068*i**2 - 10556*i - 6728.
-4*(i + 1)*(i + 2)*(i + 29)**2
Factor 5*v**4/6 + 14*v**3/3 + 5*v**2/2.
v**2*(v + 5)*(5*v + 3)/6
Suppose -2*l**5/5 + 2*l**4/5 + 12*l**3/5 = 0. What is l?
-2, 0, 3
Find p, given that 15*p**4/2 - 40*p**3 + 5*p**2 + 40*p - 25/2 = 0.
-1, 1/3, 1, 5
What is f in 3*f**3/5 + 2226*f**2/5 + 417339*f/5 + 1633932/5 = 0?
-369, -4
Solve -6*c**5 - 123*c**4 - 825*c**3 - 1860*c**2 - 384*c + 768 = 0.
-8, -4, -1, 1/2
Factor -5*o**2/3 - 100*o - 1500.
-5*(o + 30)**2/3
Factor 8*p**3/5 + 26*p**2/5 - 26*p/5 - 8/5.
2*(p - 1)*(p + 4)*(4*p + 1)/5
Factor -3*o**2/5 - 9*o/5.
-3*o*(o + 3)/5
Factor -2*l**2/5 - 1288*l/5 - 1286/5.
-2*(l + 1)*(l + 643)/5
Factor -3*v**5 - 3273*v**4 - 9801*v**3 - 9795*v**2 - 3264*v.
-3*v*(v + 1)**3*(v + 1088)
Determine x so that x**3/3 - 17*x**2/3 + 44*x/3 - 28/3 = 0.
1, 2, 14
Find a, given that -a**5 - 5*a**4 + 6*a**3 + 38*a**2 + 43*a + 15 = 0.
-5, -1, 3
Suppose l**4 + 6*l**3 + 9*l**2 + 4*l = 0. Calculate l.
-4, -1, 0
Let 324*o**5/5 - 887904*o**4/5 - 1381916*o**3/5 - 142696*o**2/5 + 61424*o - 43872/5 = 0. What is o?
-1, 2/9, 2742
Factor -5*h**3 + 285*h**2 + 2970*h.
-5*h*(h - 66)*(h + 9)
Factor 2*a**2 - 22*a + 48.
2*(a - 8)*(a - 3)
Determine v so that -2*v**3 + 20*v**2 - 14*v - 36 = 0.
-1, 2, 9
Solve -2*w**2 + 88*w - 968 = 0.
22
Factor -z**2/4 - 77*z - 1515/4.
-(z + 5)*(z + 303)/4
Determine t so that 2*t**2/7 + 4*t/7 + 2/7 = 0.
-1
Solve 10*k**3/3 + 124*k**2/9 + 16*k/9 = 0.
-4, -2/15, 0
Suppose u**4 - 12*u**3 + 6*u**2 + 52*u + 33 = 0. What is u?
-1, 3, 11
Solve 15*r**5 - 40*r**4 - 100*r**3 + 80*r**2 = 0 for r.
-2, 0, 2/3, 4
Factor 2*y**3/3 - 80*y**2/3 + 98*y - 72.
2*(y - 36)*(y - 3)*(y - 1)/3
Factor 2*s**2/5 - 3372*s/5 + 1421298/5.
2*(s - 843)**2/5
Factor m**4 - 128*m**3 + 127*m**2.
m**2*(m - 127)*(m - 1)
Factor -4*g**3 - 13*g**2 - 11*g - 2.
-(g + 1)*(g + 2)*(4*g + 1)
Factor 3*u**2/7 - 27*u + 186/7.
3*(u - 62)*(u - 1)/7
Find m such that -2*m**4/17 - 380*m**3/17 - 18042*m**2/17 + 1520*m/17 + 72200/17 = 0.
-95, -2, 2
Solve -5*k**2 + 1220*k = 0.
0, 244
Determine i so that -2*i**3/11 + 12*i**2/11 + 170*i/11 + 156/11 = 0.
-6, -1, 13
What is x in -93*x**3 - 27*x**2 + 66*x = 0?
-1, 0, 22/31
Factor 3*f**2/5 - 12*f/5 - 288/5.
3*(f - 12)*(f + 8)/5
Let j**2/7 + 2852*j/7 + 2033476/7 = 0. Calculate j.
-1426
Factor -3*j**2/4 - 237*j/4 - 117/2.
-3*(j + 1)*(j + 78)/4
Suppose 5*i**2 + 1265*i - 2550 = 0. What is i?
-255, 2
Suppose -2*m**4 - 22*m**3 - 16*m**2 + 232*m - 192 = 0. What is m?
-8, -6, 1, 2
Factor 3*o**3 - 54*o**2 - 3*o + 54.
3*(o - 18)*(o - 1)*(o + 1)
Factor -2*j**3/7 + 8*j**2/7 + 2*j - 20/7.
-2*(j - 5)*(j - 1)*(j + 2)/7
Let -q**2/2 + 250*q - 31250 = 0. What is q?
250
Solve -2*f**5/9 + 2*f**4/3 + 46*f**3/9 + 22*f**2/3 + 28*f/9 = 0.
-2, -1, 0, 7
Determine t so that 5*t**3 - 65*t - 60 = 0.
-3, -1, 4
Factor -3*l**4 - 63*l**3 - 342*l**2 + 60*l + 1800.
-3*(l - 2)*(l + 3)*(l + 10)**2
Factor t**5 - 2*t**4 - 2*t**3 + 4*t**2 + t - 2.
(t - 2)*(t - 1)**2*(t + 1)**2
Solve 5*q**3 + 20*q**2 - 700*q = 0.
-14, 0, 10
Factor -5*a**2 + 590*a + 595.
-5*(a - 119)*(a + 1)
Suppose y**3/4 + y**2 - 5*y/4 = 0. Calculate y.
-5, 0, 1
Find g such that 3*g**3 - 1941*g**2 + 3861*g + 5805 = 0.
-1, 3, 645
Let 3*u**2 + 345*u + 678 = 0. Calculate u.
-113, -2
Factor 2*d**5 - 8*d**4 - 6*d**3 + 28*d**2 - 16*d.
2*d*(d - 4)*(d - 1)**2*(d + 2)
Factor 2*d**2 - 2*d - 60.
2*(d - 6)*(d + 5)
Find j, given that -3*j**4/7 + 141*j**3/7 - 351*j**2 + 18759*j/7 - 52728/7 = 0.
8, 13
Factor 4*i**4/5 + 236*i**3/5 - 4*i**2/5 - 236*i/5.
4*i*(i - 1)*(i + 1)*(i + 59)/5
Determine s, given that 2*s**5/5 - 24*s**4/5 - 44*s**3/5 + 792*s**2/5 + 162*s = 0.
-5, -1, 0, 9
Find j, given that -4*j**2 + 360*j + 1504 = 0.
-4, 94
Determine t, given that -t**3/5 - 8*t**2/5 - 12*t/5 = 0.
-6, -2, 0
Suppose -9*a**4 - 2*a**3 + 27*a**2 - 12*a - 4 = 0. What is a?
-2, -2/9, 1
Factor 2*t**5/5 + 12*t**4 + 554*t**3/5 + 312*t**2 + 1352*t/5.
2*t*(t + 2)**2*(t + 13)**2/5
Factor 375*v**4/8 - 75*v**3/8 - 135*v**2/4 + 39*v/2 - 3.
3*(v + 1)*(5*v - 2)**3/8
Factor -w**4/3 - 2*w**3 + w**2 + 16*w/3 - 4.
-(w - 1)**2*(w + 2)*(w + 6)/3
Factor 4*w**2 - 64*w + 60.
4*(w - 15)*(w - 1)
Let -3*n**5 - 48*n**4 - 45*n**3 = 0. What is n?
-15, -1, 0
Suppose 3*s**5/5 - 3*s**4/5 - 48*s**3/5 - 12*s**2 = 0. What is s?
-2, 0, 5
Factor -5*q**5 - 45*q**4 - 130*q**3 - 90*q**2 + 135*q + 135.
-5*(q - 1)*(q + 1)*(q + 3)**3
Factor -25*i**3/4 + 15*i**2 - 9*i.
-i*(5*i - 6)**2/4
Suppose -4*d**4/7 - 32*d**3/7 - 69*d**2/7 - 47*d/7 - 10/7 = 0. Calculate d.
-5, -2, -1/2
Factor -n**2/8 - 29*n/8 + 55.
-(n - 11)*(n + 40)/8
Factor 5*w**3 - 40*w**2 + 95*w - 60.
5*(w 