 + 1)/11
Factor -4*b**3/5 - 76*b**2/5 - 444*b/5 - 756/5.
-4*(b + 3)*(b + 7)*(b + 9)/5
Determine k so that -k**2/4 - 51*k/4 + 53/2 = 0.
-53, 2
Let 5*a**4/2 - 2065*a**3/4 + 3075*a**2/4 = 0. What is a?
0, 3/2, 205
Factor -v**2/4 - 35*v + 71.
-(v - 2)*(v + 142)/4
Factor 49*m**3/8 + 45829*m**2/8 + 13091*m/8 + 935/8.
(m + 935)*(7*m + 1)**2/8
Solve 2*p**3/7 + 26*p**2/7 + 68*p/7 - 96/7 = 0.
-8, -6, 1
Find g, given that -7*g**5/6 + 5*g**4/6 + 3*g**3/2 - 5*g**2/6 - g/3 = 0.
-1, -2/7, 0, 1
Factor 7*j**2/8 + 71*j/8 + 8.
(j + 1)*(7*j + 64)/8
Factor -21*w**2 + 72*w - 27.
-3*(w - 3)*(7*w - 3)
Factor 4*b**5 - 12*b**3 - 8*b**2.
4*b**2*(b - 2)*(b + 1)**2
Factor -4*n**3/5 - 324*n**2/5 + 328*n/5.
-4*n*(n - 1)*(n + 82)/5
Determine p so that -p**2/6 - 50*p = 0.
-300, 0
Solve t**4 - 36*t**3 + 258*t**2 - 380*t - 675 = 0 for t.
-1, 5, 27
Find j such that 2*j**5/13 - 34*j**4/13 - 118*j**3/13 - 46*j**2/13 + 116*j/13 + 80/13 = 0.
-2, -1, 1, 20
Factor 3*o**5 + 27*o**4 + 6*o**3 - 252*o**2 + 216*o.
3*o*(o - 2)*(o - 1)*(o + 6)**2
What is o in -15*o**3 + 410*o**2 - 135*o = 0?
0, 1/3, 27
Solve 2*p**3/7 + 12*p**2/7 + 18*p/7 = 0.
-3, 0
Factor 2*v**3 + 118*v**2/3 + 266*v/3 - 34.
2*(v + 3)*(v + 17)*(3*v - 1)/3
Factor 32*j**2/5 + 112*j/5 + 98/5.
2*(4*j + 7)**2/5
Factor -260*i**2 - 1812*i + 56.
-4*(i + 7)*(65*i - 2)
Factor 4*o**2 + 12*o + 8.
4*(o + 1)*(o + 2)
Factor 4*g**2 - 788*g/5 + 312/5.
4*(g - 39)*(5*g - 2)/5
Determine r so that r**4/3 + 5*r**3/3 - 13*r**2/3 - 77*r/3 - 20 = 0.
-5, -3, -1, 4
Factor 2*t**3 - 1874*t**2 - 3754*t - 1878.
2*(t - 939)*(t + 1)**2
Factor 36*u**3 + 172*u**2 - 904*u + 192.
4*(u - 3)*(u + 8)*(9*u - 2)
Solve -4*o**4/9 + 970*o**3/9 + 488*o**2/9 - 54*o = 0.
-1, 0, 1/2, 243
Let 6*i**4/11 - 104*i**3/11 + 210*i**2/11 + 8*i/11 - 120/11 = 0. Calculate i.
-2/3, 1, 2, 15
Let -3*x**4/2 + 53*x**3 + 36*x**2 = 0. What is x?
-2/3, 0, 36
Factor -f**2/5 - 1063*f/5 - 1062/5.
-(f + 1)*(f + 1062)/5
Let k**2/3 + 38*k/3 - 728/3 = 0. Calculate k.
-52, 14
Factor u**4 + 58*u**3 + 113*u**2 + 56*u.
u*(u + 1)**2*(u + 56)
Find z such that z**4/2 + 49*z**3/2 + 669*z**2/2 + 1679*z/2 + 529 = 0.
-23, -2, -1
Determine f, given that 250*f**4 + 1400*f**3 + 2880*f**2 + 2592*f + 864 = 0.
-2, -6/5
Factor 250*r**4/11 - 6950*r**3 - 91980*r**2/11 - 36824*r/11 - 4912/11.
2*(r - 307)*(5*r + 2)**3/11
Solve -5*c**4 - 31*c**3 - 66*c**2 - 52*c - 8 = 0 for c.
-2, -1/5
Determine f, given that -2*f**4 + 34*f**3 - 202*f**2 + 470*f - 300 = 0.
1, 5, 6
Find t, given that -10*t**3 + 4264*t**2 - 5954*t + 1700 = 0.
2/5, 1, 425
Factor -2*k**3 + 124*k**2 + 1390*k + 3600.
-2*(k - 72)*(k + 5)**2
What is l in -2*l**3 + 72*l**2 - 648*l = 0?
0, 18
Determine z so that -16*z**4/7 - 188*z**3/7 - 96*z**2 - 620*z/7 + 200/7 = 0.
-5, -2, 1/4
Let -4*f**3 + 16*f**2 - 12*f = 0. Calculate f.
0, 1, 3
Factor l**2/2 + 63*l/2 + 31.
(l + 1)*(l + 62)/2
Factor 4*b**2/3 + 332*b/3.
4*b*(b + 83)/3
Let d**4/4 - 175*d**3/2 + 349*d**2/4 = 0. What is d?
0, 1, 349
What is h in 2*h**4/5 - 14*h**3/3 + 88*h**2/5 - 96*h/5 - 128/15 = 0?
-1/3, 4
Determine y so that -2*y**2/21 - 530*y/21 - 176/7 = 0.
-264, -1
Factor y**3 - 30*y**2 + 248*y - 384.
(y - 16)*(y - 12)*(y - 2)
Factor -4*n**5 - 1904*n**4 + 7656*n**3 - 11504*n**2 + 7676*n - 1920.
-4*(n - 1)**4*(n + 480)
Determine s, given that s**4/2 + 861*s**3/2 - 2589*s**2/2 + 2591*s/2 - 432 = 0.
-864, 1
Determine f so that 2*f**4/9 - 20*f**3/9 - 80*f**2/9 + 20*f/9 + 26/3 = 0.
-3, -1, 1, 13
Determine o, given that -5*o**3 + 340*o**2 + 2175*o + 3330 = 0.
-3, 74
Determine v so that 4*v**3 - 20*v**2 - 4*v + 20 = 0.
-1, 1, 5
Suppose -i**2 + 11*i = 0. What is i?
0, 11
Factor k**3 + 16*k**2.
k**2*(k + 16)
Find n, given that -n**3/3 + 8*n**2/3 - 4*n = 0.
0, 2, 6
Factor -2*h**3 - 16*h**2 + 38*h - 20.
-2*(h - 1)**2*(h + 10)
Solve v**3 - 16*v**2 + 64*v = 0 for v.
0, 8
Solve 3*u**5 - 12*u**4 - 3*u**3 + 12*u**2 = 0 for u.
-1, 0, 1, 4
Determine i so that 2*i**3/13 + 30*i**2/13 + 54*i/13 - 486/13 = 0.
-9, 3
Let 45*t**5 - 285*t**4 + 160*t**3 + 2660*t**2/3 + 1760*t/3 + 320/3 = 0. What is t?
-2/3, -1/3, 4
Let -4*m**2 + 148*m - 144 = 0. Calculate m.
1, 36
Factor 2*z**5 - 14*z**4 - 6*z**3 + 46*z**2 - 28*z.
2*z*(z - 7)*(z - 1)**2*(z + 2)
Let 51*v**5 - 192*v**4 - 48*v**3 + 816*v**2 - 624*v - 192 = 0. Calculate v.
-2, -4/17, 2
Find i such that 3*i**2 + 105*i - 222 = 0.
-37, 2
Factor -b**2/2 - 6*b - 16.
-(b + 4)*(b + 8)/2
Factor -2*o**3 - 20*o**2 + 2414*o - 25432.
-2*(o - 17)**2*(o + 44)
Suppose -3*h**2 - 21*h/2 = 0. Calculate h.
-7/2, 0
Factor 2*i**2 + 3012*i + 1134018.
2*(i + 753)**2
Find j, given that 4*j**2 - 204*j - 208 = 0.
-1, 52
Factor t**4 + 8*t**3 + 17*t**2 + 10*t.
t*(t + 1)*(t + 2)*(t + 5)
Factor -150*w**3 + 115*w**2 + 35*w.
-5*w*(w - 1)*(30*w + 7)
Let 5*y**5/3 + 40*y**4/3 - 10*y**3 - 200*y**2/3 + 305*y/3 - 40 = 0. Calculate y.
-8, -3, 1
Factor -3888000*q**3/7 + 64800*q**2/7 - 360*q/7 + 2/21.
-2*(180*q - 1)**3/21
Factor 5*m**5 - 25*m**4 + 5*m**3 + 85*m**2 - 110*m + 40.
5*(m - 4)*(m - 1)**3*(m + 2)
Factor 2*k**3/11 - 4*k**2/11 - 16*k/11.
2*k*(k - 4)*(k + 2)/11
Factor 4*s**2 + 304*s + 1152.
4*(s + 4)*(s + 72)
Factor -2*u**3/15 - 2*u**2/5 + 2*u/15 + 2/5.
-2*(u - 1)*(u + 1)*(u + 3)/15
Factor -4050*g**3 - 4770*g**2 - 752*g - 32.
-2*(g + 1)*(45*g + 4)**2
Factor -m**2 - 1044*m - 272484.
-(m + 522)**2
What is s in s**5/3 - 2*s**4/3 - s**3 = 0?
-1, 0, 3
Determine u, given that 2*u**2 + 54*u + 52 = 0.
-26, -1
Find m such that -m**3/3 + 531*m**2 - 211205*m - 635209/3 = 0.
-1, 797
Determine q, given that 45*q**2 - 51*q + 6 = 0.
2/15, 1
Solve 784*y**3 + 4844*y**2 - 2960*y + 432 = 0.
-27/4, 2/7
Factor -5*u**2 - 13640*u - 9302480.
-5*(u + 1364)**2
Find v, given that 3*v**4/7 - 15*v**3/7 - 18*v**2/7 + 96*v/7 + 96/7 = 0.
-2, -1, 4
Let -5*i**5 - 80*i**4 - 305*i**3 + 230*i**2 + 800*i - 640 = 0. What is i?
-8, -2, 1
Let -3*d**2 - 516*d = 0. Calculate d.
-172, 0
Let -2*m**4 - 10*m**3 - 14*m**2 - 6*m = 0. Calculate m.
-3, -1, 0
Factor -7951497867*c**5/2 + 8113360419*c**4/2 - 81549072*c**3 + 619892*c**2 - 6296*c/3 + 8/3.
-(c - 1)*(393*c - 2)**4/6
Determine a so that -5*a**3 - 3305*a**2 + 6630*a = 0.
-663, 0, 2
Let -o**3/4 + 9*o**2/4 + 49*o/4 + 39/4 = 0. What is o?
-3, -1, 13
Solve -4*f**4 - 124*f**3 - 320*f**2 + 448*f = 0.
-28, -4, 0, 1
Determine l so that 2*l**2 - 196*l + 2064 = 0.
12, 86
Factor -30*o**3 - 85*o**2 - 80*o - 25.
-5*(o + 1)**2*(6*o + 5)
Factor m**2 - 3*m - 54.
(m - 9)*(m + 6)
Determine v so that 4*v**4/5 + 19*v**3/5 - 29*v**2/5 + 6*v/5 = 0.
-6, 0, 1/4, 1
Solve -2*g**4 - 132*g**3 - 502*g**2 - 372*g = 0 for g.
-62, -3, -1, 0
Factor -2*f**3/17 + 4*f**2/17 + 10*f/17 - 12/17.
-2*(f - 3)*(f - 1)*(f + 2)/17
What is z in z**5/12 - z**4/12 - 5*z**3/12 - z**2/4 = 0?
-1, 0, 3
Solve -2*c**2 - 52*c - 96 = 0 for c.
-24, -2
Factor 2*b**3/11 + 2*b**2/11 - 8*b/11 - 8/11.
2*(b - 2)*(b + 1)*(b + 2)/11
Solve -v**4/2 - 22*v**3 + 957*v**2/2 + 21926*v - 22382 = 0.
-38, 1, 31
Determine i so that 5*i**2 - 235*i + 230 = 0.
1, 46
Factor i**4/3 - 13*i**2/3 - 4*i.
i*(i - 4)*(i + 1)*(i + 3)/3
Determine b so that 2*b**4/5 + 16*b**3/5 - 70*b**2 + 1244*b/5 - 912/5 = 0.
-19, 1, 4, 6
Factor -w**4/2 + 25*w**3/2 + 57*w**2/2 - 81*w/2.
-w*(w - 27)*(w - 1)*(w + 3)/2
Factor -2*y**4/17 - 6*y**3/17 + 8*y/17.
-2*y*(y - 1)*(y + 2)**2/17
Factor -4*y**3 - 36*y**2 + 4*y + 36.
-4*(y - 1)*(y + 1)*(y + 9)
Factor -3*v**2/5 - 232*v/5 + 156/5.
-(v + 78)*(3*v - 2)/5
Factor d**5 + 101*d**4 - 205*d**3 + 103*d**2.
d**2*(d - 1)**2*(d + 103)
Solve -4*b**5/5 - 52*b**4/5 - 124*b**3/5 - 28*b**2/5 + 128*b/5 + 16 = 0.
-10, -2, -1, 1
Factor w**2 + 329*w.
w*(w + 329)
Factor -4*m**2/7 - 32*m/7 + 36/7.
-4*(m - 1)*(m + 9)/7
Find g such that g**3 - 10*g**2 + 16*g = 0.
0, 2, 8
Factor -2*g**2/9 + 208*g/3 + 626/9.
-2*(g - 313)*(g + 1)/9
Factor -4*l**3/5 + 276*l**2/5 - 492*l + 1180.
-4*(l - 59)*(l - 5)**2/5
Factor -o**3 + 2074*o**2 - 1075369*o.
-o*(o - 1037)**2
Solve -2*a**4 + 64*a**3 - 368*a**2 - 2304*a - 2592 = 0 for a.
-2, 18
Find b, given that 21*b**4/4 - 57*b**3/4 + 6*b**2 + 3*b = 0.
-2/7, 0, 1, 2
Factor -5*c**2 + 865*c + 13090.
-5*(c - 187)*(c + 14)
Find y, given that 25*y**3 + 340*y**2 + 67*y = 0.
-67/5, -1/5, 0
What is c in 2*c**5 + 16*c**4 + 26*c**3 + 12*c**2 = 0?
-6, -1, 0
Factor 3*g**4/4 + 5*g**3/4 - 39*g**2/4 + 51*g/4 - 5.
(g - 1)**2*(g + 5)*(3*g - 4)/4
Solve -2*v**5/3 + 10*v**4 - 10*