f - 64)*(f + 1)**2
Factor 5*k**4 - 10*k**3 - 60*k**2 + 40*k + 160.
5*(k - 4)*(k - 2)*(k + 2)**2
Factor -3*v**2 - 600*v + 3075.
-3*(v - 5)*(v + 205)
Solve -4*h**5 + 32*h**4 - 64*h**3 + 8*h**2 + 68*h - 40 = 0 for h.
-1, 1, 2, 5
Factor -9*u**2 + 87*u.
-3*u*(3*u - 29)
Factor 4*z**3 - 140*z**2 - 496*z + 1520.
4*(z - 38)*(z - 2)*(z + 5)
Factor 5*f**4/3 + 13*f**3/3 + 2*f**2.
f**2*(f + 2)*(5*f + 3)/3
Find z, given that 3844*z**2 - 62*z + 1/4 = 0.
1/124
Find y such that -12*y**4 - 298*y**3 - 1666*y**2 + 2314*y - 338 = 0.
-13, 1/6, 1
Suppose 3*a**5 - 3*a**4 = 0. Calculate a.
0, 1
Factor 2*j**4/5 - 12*j**3/5 + 16*j**2/5 + 12*j/5 - 18/5.
2*(j - 3)**2*(j - 1)*(j + 1)/5
Factor -r**5 - 2*r**4 + 2*r**3 + 4*r**2 - r - 2.
-(r - 1)**2*(r + 1)**2*(r + 2)
Determine m, given that m**2/9 + 83*m/9 - 28/3 = 0.
-84, 1
Solve -10*h**3/3 - 74*h**2/3 + 52*h/3 + 32/3 = 0.
-8, -2/5, 1
Let 8*l**5/5 + 406*l**4/5 - 102*l**3/5 = 0. Calculate l.
-51, 0, 1/4
Find z such that z**3/5 + 1917*z**2/5 + 1224963*z/5 + 260917119/5 = 0.
-639
Determine q, given that -3*q**4 + 63*q**2 + 60*q = 0.
-4, -1, 0, 5
Factor 35*q**2 + 1915*q - 550.
5*(q + 55)*(7*q - 2)
Suppose 9*w**4/7 + 102*w**3/7 + 27*w**2/7 - 66*w/7 = 0. Calculate w.
-11, -1, 0, 2/3
Find b, given that -4*b**3/3 + 16*b**2 - 60*b + 72 = 0.
3, 6
Factor -q**3/2 + 49*q**2 - 95*q/2 - 97.
-(q - 97)*(q - 2)*(q + 1)/2
Find j, given that 2*j**4 - 10*j**3 + 2*j**2 + 42*j - 36 = 0.
-2, 1, 3
Factor -h**2/3 - 977*h/3 + 326.
-(h - 1)*(h + 978)/3
Factor -2*l**2 + 1200*l - 180000.
-2*(l - 300)**2
Factor 2*w**5 - 4*w**4 - 6*w**3.
2*w**3*(w - 3)*(w + 1)
What is i in 2*i**2/7 + 18*i - 396/7 = 0?
-66, 3
Factor 2*c**5/3 + 356*c**4/3 + 23738*c**3/3 + 234248*c**2 + 2597784*c.
2*c*(c + 42)**2*(c + 47)**2/3
What is t in -3*t**5 + 6*t**4 + 24*t**3 - 54*t**2 + 27*t = 0?
-3, 0, 1, 3
Solve -g**4 - 138*g**3 - 537*g**2 - 128*g + 804 = 0 for g.
-134, -3, -2, 1
Factor -2*g**2 + 2908*g - 1057058.
-2*(g - 727)**2
Suppose 8*p**5 - 14*p**4 - p**3 + 13*p**2 - 7*p + 1 = 0. Calculate p.
-1, 1/4, 1/2, 1
Factor 212*i**2 - 200*i - 12.
4*(i - 1)*(53*i + 3)
Factor -u**5 - 72*u**4 - 140*u**3 + 2*u**2 + 141*u + 70.
-(u - 1)*(u + 1)**3*(u + 70)
Factor -y**3/4 - 35*y**2/2 - 487*y/4 + 279/2.
-(y - 1)*(y + 9)*(y + 62)/4
Factor o**4 - 5*o**3 - 14*o**2.
o**2*(o - 7)*(o + 2)
Solve -a**3/4 + 25*a**2/4 - 48*a + 117 = 0 for a.
6, 13
Solve 38*z**4/17 - 500*z**3/17 + 1408*z**2/17 + 1652*z/17 - 294/17 = 0.
-1, 3/19, 7
Factor 3*a**4 - 60*a**3 + 234*a**2 + 660*a + 363.
3*(a - 11)**2*(a + 1)**2
Factor -5*v**3 + 6185*v**2 + 18590*v + 12400.
-5*(v - 1240)*(v + 1)*(v + 2)
Factor 2*p**2 - 124*p - 256.
2*(p - 64)*(p + 2)
Factor 9916*n**2 - 9908*n - 8.
4*(n - 1)*(2479*n + 2)
Solve v**3/5 - 23*v**2/5 - 76*v/5 - 52/5 = 0.
-2, -1, 26
Solve -4*u**2/5 + 752*u/5 - 748/5 = 0.
1, 187
Suppose 2*q**4/5 - 18*q**3/5 + 16*q**2/5 = 0. What is q?
0, 1, 8
Let -r**3 + 13*r**2 - 56*r + 80 = 0. What is r?
4, 5
Factor 98*d**4 - 140*d**3 - 888*d**2 - 464*d - 64.
2*(d - 4)*(d + 2)*(7*d + 2)**2
Let 4*f**4 + 12*f**3 - 28*f**2 - 108*f - 72 = 0. Calculate f.
-3, -2, -1, 3
Factor 7*g**4 - 89*g**3 + 135*g**2 - 31*g - 22.
(g - 11)*(g - 1)**2*(7*g + 2)
Factor 4*h**2/3 - 8*h/3.
4*h*(h - 2)/3
Factor 25*c**4 - 135*c**3 + 255*c**2 - 205*c + 60.
5*(c - 1)**3*(5*c - 12)
Suppose v**3 - 29*v**2 + 224*v - 196 = 0. Calculate v.
1, 14
Factor -4*s**3 - 1848*s**2 - 284592*s - 14609056.
-4*(s + 154)**3
What is b in -4*b**3 + 24*b**2 + 60*b + 32 = 0?
-1, 8
Find i such that -2*i**4/9 - 8*i**3/9 + 2*i**2/9 + 32*i/9 + 8/3 = 0.
-3, -2, -1, 2
Find f, given that f**4/3 - 2*f**3/3 - 5*f**2 = 0.
-3, 0, 5
Factor 4*z**3 + 4184*z**2 + 4180*z.
4*z*(z + 1)*(z + 1045)
Determine l so that -735*l**4/4 - 47215*l**3/4 - 2780*l**2 + 1285*l + 320 = 0.
-64, -2/7, 1/3
Solve i**2 + 3*i - 4 = 0.
-4, 1
Factor 2*i**2/9 + 1084*i/9 + 146882/9.
2*(i + 271)**2/9
Factor 2*c**2/5 - 1612*c/5 + 324818/5.
2*(c - 403)**2/5
Factor -5*v**3 + 1485*v**2 - 93015*v - 2654505.
-5*(v - 159)**2*(v + 21)
Let 2*b**4/9 + 28*b**3/9 + 46*b**2/3 + 280*b/9 + 200/9 = 0. What is b?
-5, -2
Factor -c**3 + 2258*c**2 - 1272380*c - 2553800.
-(c - 1130)**2*(c + 2)
Factor -2*c**4 - 16*c**3 - 36*c**2 + 54.
-2*(c - 1)*(c + 3)**3
Determine f, given that f**4 + 22*f**3 + 109*f**2 + 48*f - 180 = 0.
-15, -6, -2, 1
Factor -o**3/2 + 207*o**2/2 + 849*o/2 - 1055/2.
-(o - 211)*(o - 1)*(o + 5)/2
Let -g**5/3 + 11*g**3/3 - 2*g**2 - 28*g/3 + 8 = 0. Calculate g.
-3, -2, 1, 2
Factor 5*s**3 - 5*s**2 - 20*s + 20.
5*(s - 2)*(s - 1)*(s + 2)
Find w, given that -27*w**3 - 468*w**2 + 321*w - 54 = 0.
-18, 1/3
Determine s, given that -3*s**5/5 - 6*s**4 + 528*s**3/5 - 294*s**2 - 105*s + 300 = 0.
-20, -1, 1, 5
Solve y**3 + 16*y**2 - 85*y - 100 = 0.
-20, -1, 5
Solve 4*t**4 - 24*t**3 - 400*t**2 - 672*t = 0.
-6, -2, 0, 14
Determine f, given that f**4 + 4*f**3 - f**2 - 4*f = 0.
-4, -1, 0, 1
Suppose -2*l**2/7 - 12*l + 2480/7 = 0. What is l?
-62, 20
Factor 4*k**2 - 736*k + 3580.
4*(k - 179)*(k - 5)
Determine h, given that -3*h**2/2 - 789*h - 207507/2 = 0.
-263
Factor -12*s**2 + 536*s - 352.
-4*(s - 44)*(3*s - 2)
Factor 2*w**2/13 - 18*w/13 + 28/13.
2*(w - 7)*(w - 2)/13
Suppose q**3 + 285*q**2 + 20163*q - 20449 = 0. Calculate q.
-143, 1
Determine m, given that -2*m**4/13 - 436*m**3/13 - 2520*m**2 - 921200*m/13 - 5488000/13 = 0.
-70, -8
Solve 15*m**2 - 190*m - 65 = 0.
-1/3, 13
Suppose 2*h**2/5 - 48*h/5 - 104/5 = 0. Calculate h.
-2, 26
Let 10*l**3/17 - 876*l**2/17 + 8768*l/17 + 3648/17 = 0. Calculate l.
-2/5, 12, 76
Factor l**4 - 17*l**3 - 14*l**2 + 768*l + 1440.
(l - 12)**2*(l + 2)*(l + 5)
What is t in 3*t**3 - 129*t**2 + 249*t - 123 = 0?
1, 41
Factor -u**3 - 26*u**2 + 55*u - 28.
-(u - 1)**2*(u + 28)
Factor 20*w**2 + 1885*w - 3850.
5*(w - 2)*(4*w + 385)
Let 2*c**3/9 - 122*c**2/9 + 236*c/9 = 0. Calculate c.
0, 2, 59
Factor 3*h**3/2 - 37*h**2/2 - 36*h + 14.
(h - 14)*(h + 2)*(3*h - 1)/2
Factor g**2/7 + 82*g/7.
g*(g + 82)/7
Determine d so that -9*d**5 + 93*d**4 + 1298*d**3 - 9562*d**2 - 6793*d - 1155 = 0.
-11, -1/3, 7, 15
Let -10*b**3 + 95*b**2 + 290*b + 120 = 0. What is b?
-2, -1/2, 12
Determine l, given that 2*l**4/3 - 14*l**3/3 - 16*l**2 + 224*l/3 + 256/3 = 0.
-4, -1, 4, 8
Determine z, given that 3*z**2 - 18*z + 24 = 0.
2, 4
Let -5*r**4/3 + 35*r**2/3 + 10*r = 0. Calculate r.
-2, -1, 0, 3
Find c such that -3*c**3 + 12*c = 0.
-2, 0, 2
Find g, given that -5*g**4 - 95*g**3 - 460*g**2 + 20*g + 2640 = 0.
-11, -6, -4, 2
Factor -9*j**2/4 - 875*j/4 - 97/2.
-(j + 97)*(9*j + 2)/4
Let 2*z**2/9 + 16*z/3 - 96 = 0. What is z?
-36, 12
Determine g so that 50*g**5 - 1680*g**4 - 678*g**3 - 68*g**2 = 0.
-1/5, 0, 34
Factor -3*p**3/5 - 606*p**2.
-3*p**2*(p + 1010)/5
What is k in k**4/3 - 14*k**3 + 27*k**2 - 40*k/3 = 0?
0, 1, 40
Determine o so that -5*o**5 - 1085*o**4 - 60470*o**3 - 174950*o**2 - 172805*o - 57245 = 0.
-107, -1
Find b such that b**4/6 + 2*b**3 + 9*b**2/2 - 2*b/3 - 6 = 0.
-9, -2, 1
Factor -49*p**4 - 168*p**3 + 52*p**2 + 672*p + 576.
-(p - 2)*(p + 2)*(7*p + 12)**2
Suppose -3*x**5 + 63*x**3 + 60*x**2 = 0. What is x?
-4, -1, 0, 5
Let -3*o**2 - 27*o - 42 = 0. What is o?
-7, -2
Suppose 10*q**4/9 + 58*q**3/9 + 40*q**2/3 + 104*q/9 + 32/9 = 0. Calculate q.
-2, -1, -4/5
Factor 4*l**3/3 + 8*l**2 - 12*l - 56/3.
4*(l - 2)*(l + 1)*(l + 7)/3
Suppose -3*u**5 - 9*u**4 + 9*u**3 + 21*u**2 - 18*u = 0. Calculate u.
-3, -2, 0, 1
Find f such that 20*f**4 + 105*f**3 + 145*f**2 + 30*f = 0.
-3, -2, -1/4, 0
Factor 3*x**2/5 + 303*x/5 - 618/5.
3*(x - 2)*(x + 103)/5
What is r in -2*r**4/5 - 2*r**3 - 6*r**2/5 + 2*r + 8/5 = 0?
-4, -1, 1
Solve -2*r**4/7 + 12*r**3/7 - 6*r**2/7 - 20*r/7 = 0 for r.
-1, 0, 2, 5
Solve -25*x**5 + 30*x**4 - 5*x**3 = 0 for x.
0, 1/5, 1
Solve -5*f**5 - 30*f**4 - 40*f**3 + 80*f**2 + 240*f + 160 = 0 for f.
-2, 2
Suppose 40*p**3/9 + 134*p**2/9 + 92*p/9 - 32/9 = 0. What is p?
-2, -8/5, 1/4
Let -27*s**5/7 - 27*s**4 + 450*s**3/7 - 316*s**2/7 + 72*s/7 = 0. What is s?
-9, 0, 2/3
Factor w**4/4 + 49*w**3/4 + 669*w**2/4 + 1679*w/4 + 529/2.
(w + 1)*(w + 2)*(w + 23)**2/4
What is s in s**5/3 + 12*s**4 + 131*s**3/3 + 32*s**2 = 0?
-32, -3, -1, 0
Solve k**4 - 6*k**3 + 9*k**2 - 4*k = 0 for k.
0, 1, 4
Suppose b**5/2 - 4*b**4/3 - 3*b**3/2 + 17*b**2/3 - 2*b - 4/3 = 0. Calculate b.
-2, -1/3, 1, 2
Factor 36*p**3 + 208*p**2 - 48*p.
4*p*(p + 6)*(9*p - 2)
Factor -p**4/4 + 3*p