or -5*n**3 - 230*n**2 - 2860*n - 4840.
-5*(n + 2)*(n + 22)**2
Factor 4*x**3/3 - 8*x**2/3 - 4*x/3 + 8/3.
4*(x - 2)*(x - 1)*(x + 1)/3
Factor 5*r**3 - 115*r**2 - 380*r - 260.
5*(r - 26)*(r + 1)*(r + 2)
Solve -2*a**2 - 240*a - 702 = 0 for a.
-117, -3
Solve 2*l**3/3 - 200*l**2/3 - 202*l/3 = 0 for l.
-1, 0, 101
Determine o so that -6*o**3/7 + 7060*o**2/7 - 4702*o/7 - 336 = 0.
-1/3, 1, 1176
Factor 6*q**2 - 40*q + 34.
2*(q - 1)*(3*q - 17)
Factor v**3/2 + v**2/2 - 25*v + 24.
(v - 6)*(v - 1)*(v + 8)/2
Suppose -2*n**4 + 2*n**3 + 14*n**2 - 2*n - 12 = 0. What is n?
-2, -1, 1, 3
Solve -2*x**2/3 + 8*x/3 + 8 = 0.
-2, 6
Determine i so that 3*i**4 + 344*i**3 - 2313*i**2 - 1694*i = 0.
-121, -2/3, 0, 7
Factor 4*n**4 + 448*n**3 + 3000*n**2 + 6336*n + 3780.
4*(n + 1)*(n + 3)**2*(n + 105)
Let -5*z**2 - 1575*z - 1570 = 0. What is z?
-314, -1
Determine t so that 288*t**3/7 + 578*t**2/7 + 292*t/7 + 2/7 = 0.
-1, -1/144
Suppose -3*t**2/5 + 4749*t/5 = 0. Calculate t.
0, 1583
Determine q so that 2*q**2 - 60*q + 208 = 0.
4, 26
Determine z so that 15*z**5/4 + 69*z**4/4 + 45*z**3/2 + 3*z**2 - 6*z = 0.
-2, -1, 0, 2/5
Let -14*h**3 + 144*h**2 - 334*h + 84 = 0. What is h?
2/7, 3, 7
Factor 21*f**2 - 34*f + 13.
(f - 1)*(21*f - 13)
Factor -3*y**2 + 27.
-3*(y - 3)*(y + 3)
Factor z**4/3 - 29*z**3/3 - 32*z**2.
z**2*(z - 32)*(z + 3)/3
Let 2*d**2/5 - 38*d + 372/5 = 0. Calculate d.
2, 93
Solve 4*v**3 - 23*v**2 + 39*v - 18 = 0.
3/4, 2, 3
Suppose 5*i**3/4 - 31*i**2/4 + 21*i/2 = 0. What is i?
0, 2, 21/5
Let 9*f**5/5 + 56*f**4/5 + 129*f**3/5 + 134*f**2/5 + 12*f + 8/5 = 0. Calculate f.
-2, -1, -2/9
Factor s**3/7 + 47*s**2/7.
s**2*(s + 47)/7
Determine w, given that 2*w**4/3 + 4*w**3 - 2*w**2/3 - 4*w = 0.
-6, -1, 0, 1
Factor -2*c**4 + 128*c**3 - 2730*c**2 + 19404*c.
-2*c*(c - 22)*(c - 21)**2
Factor 2*f**2/23 + 446*f/23 - 448/23.
2*(f - 1)*(f + 224)/23
Factor -3*d**3 + 180*d**2 - 681*d + 504.
-3*(d - 56)*(d - 3)*(d - 1)
Factor p**2/6 - 244*p/3 + 29768/3.
(p - 244)**2/6
Determine y so that -3*y**4/2 - 33*y**3/2 - 57*y**2/2 - 27*y/2 = 0.
-9, -1, 0
Solve -2*v**4 - 12*v**3 + 392*v**2 - 720*v = 0.
-18, 0, 2, 10
Solve -3*i**4 - 18*i**3 + 21*i**2 + 180*i = 0.
-5, -4, 0, 3
Determine a so that 50*a**4/3 + 590*a**3/3 - 54*a**2 - 162*a + 72 = 0.
-12, -1, 3/5
Factor h**3/11 + 57*h**2/11 + 524*h/11 + 828/11.
(h + 2)*(h + 9)*(h + 46)/11
Factor 54*f**2/7 + 50*f/7 - 4/7.
2*(f + 1)*(27*f - 2)/7
Factor f**3 + 2*f**2 - 15*f - 36.
(f - 4)*(f + 3)**2
Find v such that -4*v**5 - 256*v**4 - 2320*v**3 + 54976*v**2 - 257792*v + 369664 = 0.
-38, 4
Factor -3*v**5 - 3*v**4 + 15*v**3 - 9*v**2.
-3*v**2*(v - 1)**2*(v + 3)
Solve 14*a**5/13 - 3714*a**4/13 + 4756*a**3/13 - 1056*a**2/13 = 0 for a.
0, 2/7, 1, 264
Factor -5*c**2 - 385*c + 390.
-5*(c - 1)*(c + 78)
Let 5*u**4 - 5*u**3 - 25*u**2 - 15*u = 0. Calculate u.
-1, 0, 3
Determine n, given that -3*n**3/8 + 3*n**2/8 = 0.
0, 1
Factor f**4/2 + 21*f**3/2 + 135*f**2/2 + 351*f/2 + 162.
(f + 3)**3*(f + 12)/2
Factor y**4/4 + 17*y**3/4 + 19*y**2/2 - 14*y.
y*(y - 1)*(y + 4)*(y + 14)/4
Factor -3*o**4 - 30*o**3 - 72*o**2 + 30*o + 75.
-3*(o - 1)*(o + 1)*(o + 5)**2
Factor -3*j**4/2 - 1413*j**3/2 + 2835*j**2/2 - 1419*j/2.
-3*j*(j - 1)**2*(j + 473)/2
What is f in 2*f**2/7 - 662*f/7 + 660/7 = 0?
1, 330
Factor 5*k**3/4 + 5*k**2 - 5*k/4 - 5.
5*(k - 1)*(k + 1)*(k + 4)/4
Determine b so that b**3/2 + 7*b**2/2 + 8*b + 6 = 0.
-3, -2
Determine w, given that -15*w**5 + 125*w**4 - 280*w**3 + 80*w**2 = 0.
0, 1/3, 4
Suppose 2*l**5/5 + 138*l**4/5 + 782*l**3/5 + 1662*l**2/5 + 304*l + 504/5 = 0. Calculate l.
-63, -2, -1
Factor -12*k**2 - 68*k - 40.
-4*(k + 5)*(3*k + 2)
Find j, given that -15*j**5 - 130*j**4 - 270*j**3 - 180*j**2 + 5*j + 30 = 0.
-6, -1, 1/3
Determine a so that -32*a**2 + 212*a + 84 = 0.
-3/8, 7
Factor k**4/4 + 23*k**3/2 + 121*k**2 + 945*k/2 + 2475/4.
(k + 3)*(k + 5)**2*(k + 33)/4
Factor -2*l**4 + 376*l**3 - 18044*l**2 + 34968*l - 17298.
-2*(l - 93)**2*(l - 1)**2
Factor -3*g**2/2 + 6294*g - 6602406.
-3*(g - 2098)**2/2
Suppose -8*b**5/3 - 26*b**4/3 - 8*b**3/3 + 8*b**2 = 0. What is b?
-2, 0, 3/4
Factor a**3/4 - 7*a**2/2 + 65*a/4 - 25.
(a - 5)**2*(a - 4)/4
Suppose 2*x**3/5 + 102*x**2/5 + 198*x/5 + 98/5 = 0. Calculate x.
-49, -1
Solve -28*l**4 + 48*l**3 + 128*l**2 - 192*l - 64 = 0.
-2, -2/7, 2
Factor -3*u**2/4 + 147.
-3*(u - 14)*(u + 14)/4
Solve -7*g**2/2 - 1405*g/2 + 201 = 0.
-201, 2/7
Factor -147*f**2/5 + 21*f/5 + 6/5.
-3*(7*f - 2)*(7*f + 1)/5
Factor 10*q**4 - 75*q**3 + 90*q**2 + 5*q - 30.
5*(q - 6)*(q - 1)**2*(2*q + 1)
Factor -16*u**4/7 + 552*u**3/7 - 5401*u**2/7 + 11040*u/7 - 6400/7.
-(u - 16)**2*(4*u - 5)**2/7
Solve -2*s**5 + 50*s**4/9 + 28*s**3/3 + 16*s**2/9 = 0.
-1, -2/9, 0, 4
Find r such that -2*r**3/7 - 122*r**2/7 + 1110*r - 12978 = 0.
-103, 21
Find c, given that 4*c**4 + 216*c**3 + 2352*c**2 - 18328*c - 70644 = 0.
-29, -3, 7
Solve -12*t**5 - 644*t**4 + 2264*t**3 - 944*t**2 - 1824*t = 0 for t.
-57, -2/3, 0, 2
Find h, given that 5*h**3/6 - 1835*h**2/2 - 2755*h/3 = 0.
-1, 0, 1102
Let -3*p**3 - 54*p**2 - 288*p - 384 = 0. What is p?
-8, -2
Factor -3*x**3 + 9*x**2 + 39*x - 45.
-3*(x - 5)*(x - 1)*(x + 3)
Solve -2*p**5 + 92*p**4 - 728*p**3 - 8048*p**2 - 3328*p + 43264 = 0.
-4, 2, 26
Suppose 25*v**4 + 30*v**3 - 20*v**2 - 30*v - 5 = 0. What is v?
-1, -1/5, 1
Suppose -3*r**5/5 + 18*r**4/5 - 33*r**3/5 + 18*r**2/5 = 0. What is r?
0, 1, 2, 3
Factor -i**4 + 6*i**3 + 15*i**2 + 8*i.
-i*(i - 8)*(i + 1)**2
Factor 2*r**4/23 + 560*r**3/23.
2*r**3*(r + 280)/23
Factor -5*c**3 + 580*c**2 - 16225*c - 34810.
-5*(c - 59)**2*(c + 2)
Solve 2*d**2 + 444*d + 24642 = 0.
-111
Factor 3*o**2/7 + 29364*o/7 + 71853708/7.
3*(o + 4894)**2/7
Determine k so that 2*k**2/7 - 14*k - 2244/7 = 0.
-17, 66
Determine w so that 125*w**4/6 + 4175*w**3/6 + 815*w**2/3 - 334*w/3 - 44 = 0.
-33, -2/5, 2/5
Solve w**4/4 + 5*w**3/4 + 3*w**2/4 - 5*w/4 - 1 = 0 for w.
-4, -1, 1
Find m, given that -3*m**3 - 180*m**2 - 2700*m - 12000 = 0.
-40, -10
Factor -4*u**3 - 472*u**2 - 932*u - 464.
-4*(u + 1)**2*(u + 116)
Determine f, given that 2*f**2/5 + 56*f/5 - 58/5 = 0.
-29, 1
Find l such that -16*l**4/13 + 62*l**3/13 + 88*l**2/13 + 10*l/13 = 0.
-1, -1/8, 0, 5
Factor -2*b**5/5 - 4*b**4/5 + 14*b**3/5 - 8*b**2/5.
-2*b**2*(b - 1)**2*(b + 4)/5
Let 5*k**3 + 200*k**2 - 1860*k + 2880 = 0. What is k?
-48, 2, 6
Determine f so that -3*f**4/7 - 185*f**3/7 + 151*f**2 - 1023*f/7 - 1206/7 = 0.
-67, -2/3, 3
Factor -4*p**3 + 1120*p**2 + 4564*p - 5680.
-4*(p - 284)*(p - 1)*(p + 5)
Factor d**2/2 + 37*d - 231/2.
(d - 3)*(d + 77)/2
Suppose 22*g**3/5 + 18*g**2/5 - 48*g/5 + 8/5 = 0. Calculate g.
-2, 2/11, 1
Determine c, given that 3*c**4 + 48*c**3 + 288*c**2 + 768*c + 768 = 0.
-4
Factor y**2 - y - 240.
(y - 16)*(y + 15)
Suppose y**2/7 - 20*y/7 = 0. What is y?
0, 20
Factor 2*c**2/5 - 176*c/5 + 3872/5.
2*(c - 44)**2/5
Determine v so that 5*v**2/4 + 1165*v/4 - 585/2 = 0.
-234, 1
Factor 3*w**3/4 - 195*w**2/4 + 1521*w/4 + 59319/4.
3*(w - 39)**2*(w + 13)/4
Factor 3*z**3/4 + 189*z**2/2 + 747*z/4 + 93.
3*(z + 1)**2*(z + 124)/4
What is i in -2*i**5/7 - 8*i**4/7 + 58*i**3/7 - 48*i**2/7 = 0?
-8, 0, 1, 3
Suppose -3*k**2 - 321*k - 630 = 0. What is k?
-105, -2
Determine z so that z**2/4 - 3*z/2 - 7/4 = 0.
-1, 7
Factor p**3/4 - 11*p**2/4 - 10*p - 7.
(p - 14)*(p + 1)*(p + 2)/4
Factor 3*u**4/4 + 3*u**3/4 - 21*u**2/2 - 18*u.
3*u*(u - 4)*(u + 2)*(u + 3)/4
Let -3*m**3 - 147*m**2 + 672*m + 1908 = 0. What is m?
-53, -2, 6
Let 2*p**2 + 30*p = 0. What is p?
-15, 0
Solve 231*i**3/5 + 2664*i**2/5 - 492*i/5 = 0 for i.
-82/7, 0, 2/11
Factor -44*j**2 - 52*j - 8.
-4*(j + 1)*(11*j + 2)
Find g such that -2*g**4/13 - 20*g**3/13 - 40*g**2/13 + 20*g/13 + 42/13 = 0.
-7, -3, -1, 1
Find j such that -j**2 - 34*j - 33 = 0.
-33, -1
Factor 8*z**3 - 412*z**2 + 600*z.
4*z*(z - 50)*(2*z - 3)
Suppose -c**4/3 - 20*c**3/3 + c**2 + 58*c/3 - 40/3 = 0. What is c?
-20, -2, 1
Find m, given that -332750*m**3 + 290400*m**2 - 84480*m + 8192 = 0.
16/55
Find s, given that -32*s**4/13 - 62*s**3/13 + 164*s**2/13 + 14*s - 12/13 = 0.
-3, -1, 1/16, 2
Factor 2*z**2/7 - 13*z/7 + 15/7.
(z - 5)*(2*z - 3)/7
Suppose -m**3 - 236*m**2 + 237*m = 0. Calculate m.
-237, 0, 1
Let -5*d**2 - 55*d = 0. Calculate d.
-11, 0
Suppose o**4/2 - 23*o**3/8 - 33*o**2/4 + 385*o/8 + 25/2 = 0. Calculate o.
-4, -1/4, 5
Factor -u**3 - 97*u**2 - 2856*u - 22932.
-(u +