- 192*n**3 - 160*n**2 = 0.
-4, -1, 0, 20
Find j such that j**2/5 + 249*j/10 + 351/2 = 0.
-117, -15/2
Determine y, given that -5*y**5 + 345*y**4 + 395*y**3 - 3105*y**2 - 3150*y = 0.
-3, -1, 0, 3, 70
Let -32*d**4 + 132*d**3 - 112*d**2 + 12*d = 0. What is d?
0, 1/8, 1, 3
Factor 4*q**3 + 84*q**2 - 180*q + 92.
4*(q - 1)**2*(q + 23)
Solve -5*v**5 - 105*v**4 - 85*v**3 + 305*v**2 + 90*v - 200 = 0 for v.
-20, -2, -1, 1
Determine w, given that -150*w**4/13 - 800*w**3/13 - 846*w**2/13 - 180*w/13 + 16/13 = 0.
-4, -1, -2/5, 1/15
Factor -k**3/6 - 25*k**2/6 + 211*k/3 + 156.
-(k - 13)*(k + 2)*(k + 36)/6
Find s such that 2*s**2/5 - 3092*s/5 + 1195058/5 = 0.
773
Find w such that -12*w**4 + 393*w**3 + 927*w**2 + 627*w + 105 = 0.
-1, -1/4, 35
What is g in 3*g**3 + 252*g**2 - 513*g + 258 = 0?
-86, 1
Solve 5*n**5 + 20*n**4 - 855*n**3 - 5670*n**2 = 0 for n.
-9, 0, 14
Find r such that 2*r**3/3 + 680*r**2 = 0.
-1020, 0
Solve 4*b**5 - 608*b**4 - 628*b**3 + 2432*b**2 + 2448*b = 0 for b.
-2, -1, 0, 2, 153
Factor -8*a**3 - 1388*a**2 - 2068*a - 688.
-4*(a + 1)*(a + 172)*(2*a + 1)
Factor -3*k**2/5 + 583*k/5 + 586/5.
-(k + 1)*(3*k - 586)/5
What is a in -4*a**3 + 32*a**2 - 52*a + 24 = 0?
1, 6
Factor -7*u**2 - 5*u + 2.
-(u + 1)*(7*u - 2)
Suppose 2*d**3/23 + 96*d**2/23 - 408*d/23 + 416/23 = 0. Calculate d.
-52, 2
Let -48*b**4 + 744*b**3 + 669*b**2 - 4785*b + 3600 = 0. What is b?
-3, 5/4, 16
Factor -2*m**4/3 + 8*m**3 - 70*m**2/3.
-2*m**2*(m - 7)*(m - 5)/3
Factor -4*h**3 + 168*h**2 - 2052*h + 5776.
-4*(h - 19)**2*(h - 4)
Factor -2*g**3/3 - 2*g**2 + 20*g/3.
-2*g*(g - 2)*(g + 5)/3
Determine k so that k**4/4 + 7*k**3/2 + 9*k**2 + 17*k/2 + 11/4 = 0.
-11, -1
Factor 2*l**2 + 10*l - 72.
2*(l - 4)*(l + 9)
Suppose u**4/2 - 3*u**3/2 - 2*u**2 = 0. What is u?
-1, 0, 4
Determine w, given that 69772609*w**2/4 + 8353*w + 1 = 0.
-2/8353
Factor -2*r**2/5 - 14*r/5 + 16/5.
-2*(r - 1)*(r + 8)/5
Let -8*o**5 - 300*o**4 - 3856*o**3 - 19276*o**2 - 28560*o + 19600 = 0. What is o?
-14, -5, 1/2
Factor -2*x**4/21 + 188*x**3/21 + 192*x**2/7 + 580*x/21 + 194/21.
-2*(x - 97)*(x + 1)**3/21
Factor 2*f**3/15 - 76*f**2/5 + 2888*f/5 - 109744/15.
2*(f - 38)**3/15
Determine u, given that -2*u**2/11 + 128*u/11 - 1080/11 = 0.
10, 54
Suppose x**2/3 + 290*x/3 - 97 = 0. What is x?
-291, 1
Factor v**3/5 + 2*v**2 - v/5 - 2.
(v - 1)*(v + 1)*(v + 10)/5
Factor y**4/8 + 77*y**3 + 11858*y**2.
y**2*(y + 308)**2/8
Determine r, given that r**2/8 + 21*r/4 + 297/8 = 0.
-33, -9
Factor 4*v**3 + 472*v**2 + 12932*v - 59536.
4*(v - 4)*(v + 61)**2
Factor -605*u**3 - 11275*u**2 + 4160*u - 380.
-5*(u + 19)*(11*u - 2)**2
Let -c**5/3 + c**3 + 2*c**2/3 = 0. Calculate c.
-1, 0, 2
Suppose p**2/3 - 368*p/3 + 605 = 0. What is p?
5, 363
Let 2*n**4/3 - 388*n**3/3 - 1576*n**2/3 - 528*n = 0. Calculate n.
-2, 0, 198
Determine l so that 5*l**4 - 245*l**3 + 3540*l**2 - 12980*l + 9680 = 0.
1, 4, 22
Factor 2*x**3/7 - 594*x**2/7 + 1768*x/7 - 168.
2*(x - 294)*(x - 2)*(x - 1)/7
Factor k**5/6 + 7*k**4/3 + 10*k**3 + 12*k**2.
k**2*(k + 2)*(k + 6)**2/6
Factor -t**2 + 18*t.
-t*(t - 18)
Suppose 5*u**2 - 350*u + 6125 = 0. Calculate u.
35
Let -c**2/4 + 2*c - 3 = 0. What is c?
2, 6
Factor -a**4/3 - 17*a**3 - 319*a**2 - 7865*a/3 - 7986.
-(a + 11)**3*(a + 18)/3
Factor 2*a**3/9 - 2*a**2.
2*a**2*(a - 9)/9
Factor 4*k**5 - 132*k**4 - 568*k**3 - 872*k**2 - 588*k - 148.
4*(k - 37)*(k + 1)**4
Factor 22*m**2/3 + 20*m/3 - 2/3.
2*(m + 1)*(11*m - 1)/3
Factor 3*p**4/5 - 69*p**3/5.
3*p**3*(p - 23)/5
Let -49*x**2/4 + 84*x - 144 = 0. What is x?
24/7
Let z**2/3 + 221*z/3 = 0. Calculate z.
-221, 0
Determine a so that 2*a**3/5 - 58*a**2/5 - 124*a/5 = 0.
-2, 0, 31
Solve -4*c**5 + 60*c**4 + 64*c**3 = 0 for c.
-1, 0, 16
Solve 14*g**5 - 346*g**4 - 478*g**3 + 242*g**2 + 464*g + 104 = 0.
-1, -2/7, 1, 26
Factor -57*c**2/5 - 21*c + 18/5.
-3*(c + 2)*(19*c - 3)/5
Factor -5*g**4/2 + 295*g**3 + 2790*g**2 + 8505*g + 17145/2.
-5*(g - 127)*(g + 3)**3/2
Determine f so that -5*f**2/6 - 45*f/2 - 65/3 = 0.
-26, -1
Factor 3*p**5 + 24*p**4 + 69*p**3 + 84*p**2 + 36*p.
3*p*(p + 1)*(p + 2)**2*(p + 3)
Factor i**5/6 - 11*i**3/6 - 3*i**2 - 4*i/3.
i*(i - 4)*(i + 1)**2*(i + 2)/6
Solve -5*t**5 + 168*t**4 + 608*t**3 + 766*t**2 + 405*t + 74 = 0 for t.
-1, -2/5, 37
Factor -2*l**3 - 66*l**2 + 368*l - 456.
-2*(l - 3)*(l - 2)*(l + 38)
Solve -6*c**3/7 + 4*c**2 - 34*c/7 + 12/7 = 0 for c.
2/3, 1, 3
Find w, given that -2*w**3/9 + 20*w**2/3 = 0.
0, 30
Factor -3*c**2/4 + 873*c/2 - 254043/4.
-3*(c - 291)**2/4
Factor -n**3 - 17*n**2 - 42*n.
-n*(n + 3)*(n + 14)
Let -3*v**4/2 + 15*v**3/2 + 429*v**2/2 + 369*v/2 - 405 = 0. What is v?
-9, -2, 1, 15
Find g such that -20*g**4 - 100*g**3 - 165*g**2 - 100*g - 20 = 0.
-2, -1/2
Factor -l**3 - 32*l**2 - 285*l - 450.
-(l + 2)*(l + 15)**2
Find r such that 18*r**2 - 226*r + 576 = 0.
32/9, 9
Suppose 2*f**5/21 - 26*f**4/21 + 32*f**3/7 - 24*f**2/7 = 0. Calculate f.
0, 1, 6
Factor p**3/2 - 15*p**2 + 29*p/2.
p*(p - 29)*(p - 1)/2
Suppose -3*n**5/2 + 36*n**4 - 216*n**3 = 0. Calculate n.
0, 12
Factor 5*g**5 - 370*g**4 - 1930*g**3 - 3520*g**2 - 2755*g - 790.
5*(g - 79)*(g + 1)**3*(g + 2)
Factor 2*j**2/5 + 3118*j/5 - 624.
2*(j - 1)*(j + 1560)/5
Suppose -4*m**2 + 8*m + 12 = 0. Calculate m.
-1, 3
Suppose 5*g**2 + 2180*g - 2185 = 0. Calculate g.
-437, 1
Factor 4*v**3/7 - 824*v**2/7.
4*v**2*(v - 206)/7
Factor 3*f**3/2 - 135*f**2/2 + 351*f.
3*f*(f - 39)*(f - 6)/2
Factor 3*o**4/8 + 15*o**3/4 + 57*o**2/8 - 45*o/4.
3*o*(o - 1)*(o + 5)*(o + 6)/8
Suppose 4*u**4 - 24*u**3 - 108*u**2 + 304*u + 384 = 0. What is u?
-4, -1, 3, 8
Factor 2*s**2 + 364*s + 4080.
2*(s + 12)*(s + 170)
Suppose 3*k**5 - 21*k**4 - 84*k**3 - 60*k**2 = 0. Calculate k.
-2, -1, 0, 10
Factor -2*w**3/11 - 650*w**2/11 - 2576*w/11 - 2568/11.
-2*(w + 2)**2*(w + 321)/11
Factor 2*g**4/23 + 16*g**3/23 - 2*g**2/23 - 16*g/23.
2*g*(g - 1)*(g + 1)*(g + 8)/23
Factor 2*v**4 + 10*v**3 + 4*v**2 - 16*v.
2*v*(v - 1)*(v + 2)*(v + 4)
Solve 14*h**3/5 - 186*h**2/5 + 472*h/5 - 24 = 0.
2/7, 3, 10
Factor 2*r**2 - 34*r + 60.
2*(r - 15)*(r - 2)
Suppose 2*g**5/3 - 56*g**4/9 + 50*g**3/9 = 0. Calculate g.
0, 1, 25/3
Factor 2*m**4/7 + 24*m**3/7 + 90*m**2/7 + 108*m/7.
2*m*(m + 3)**2*(m + 6)/7
What is a in -28*a**5/13 - 6*a**4 - 20*a**3/13 + 70*a**2/13 + 48*a/13 + 8/13 = 0?
-2, -1, -1/2, -2/7, 1
Factor -4*r**2 - 230*r + 116.
-2*(r + 58)*(2*r - 1)
Determine c so that c**2/2 + c + 1/2 = 0.
-1
Factor -2*j**3 - 21*j**2 - 45*j + 28.
-(j + 4)*(j + 7)*(2*j - 1)
Let w**5 - 941*w**4/4 - 717*w**3/4 + 1063*w**2/2 - 118*w = 0. What is w?
-2, 0, 1/4, 1, 236
Determine h so that 2*h**4/17 - 48*h**3/17 + 10*h**2 - 12*h + 80/17 = 0.
1, 2, 20
Find x such that 14*x**3/5 + 20*x**2 - 98*x/5 - 16/5 = 0.
-8, -1/7, 1
Solve 98*g**5 - 840*g**4 - 24926*g**3 - 91204*g**2 + 58296*g - 8624 = 0 for g.
-7, 2/7, 22
Suppose -3*b**4/8 + 741*b**3/8 - 5673*b**2 - 5766*b = 0. Calculate b.
-1, 0, 124
Solve i**5/6 + i**4/2 - i**3/6 - i**2/2 = 0 for i.
-3, -1, 0, 1
Factor 4*z**5 - 164*z**4 + 468*z**3 - 460*z**2 + 152*z.
4*z*(z - 38)*(z - 1)**3
Factor 21*u**3 + 225*u**2 - 66*u.
3*u*(u + 11)*(7*u - 2)
Find w, given that 362*w**2/3 + 4*w/3 = 0.
-2/181, 0
Factor -4*l**4/3 - 184*l**3/3 - 1004*l**2 - 20608*l/3 - 50176/3.
-4*(l + 7)**2*(l + 16)**2/3
Let 4*w**5/3 + 17*w**4/3 + 8*w**3 + 13*w**2/3 + 2*w/3 = 0. Calculate w.
-2, -1, -1/4, 0
Factor -d**3/2 - 11*d**2/2.
-d**2*(d + 11)/2
Factor -3*c**3/4 + 54*c**2 - 3663*c/4 - 4107/2.
-3*(c - 37)**2*(c + 2)/4
What is o in -2*o**3 - 12*o**2 = 0?
-6, 0
Factor -4*f**3/9 - 92*f**2/9 - 572*f/9 - 484/9.
-4*(f + 1)*(f + 11)**2/9
Factor -q**3/3 - 13*q**2 - 120*q + 400/3.
-(q - 1)*(q + 20)**2/3
Factor -3*b**2/5 - 972*b/5 + 195.
-3*(b - 1)*(b + 325)/5
Determine b, given that b**3 + b**2 - 16*b + 20 = 0.
-5, 2
Let 2*g**4 - 36*g**3 + 146*g**2 - 216*g + 104 = 0. What is g?
1, 2, 13
Factor 4*r**4/5 - 8*r**3/5 - 4*r**2/5 + 8*r/5.
4*r*(r - 2)*(r - 1)*(r + 1)/5
Determine c so that 2*c**5/5 + 2*c**4/5 - 2*c**3/5 - 2*c**2/5 = 0.
-1, 0, 1
Factor -a**3 + 56*a**2 + 59*a - 114.
-(a - 57)*(a - 1)*(a + 2)
Factor 14*s**2 + 39050*s + 11156.
2*(s + 2789)*(7*s + 2)
Find d, given that 4*d**4 + 208*d**3 - 216*d**2 - 208*d + 212 = 0.
-53, -1, 1
Factor z**5 - 3*z**4 + 2*z**3.
z**3*(z - 2)*(z - 1)
Suppose 2*i**5/15 - 38*i**4/15 - 16*i**3/5 + 152*i**2/15 + 32*i/3 = 0. Calculate i.
-2, -1, 0, 2, 20
Solve -2*s**3/3 + 2