 such that -10*m**3/11 + 156*m**2/11 + 234*m/11 + 68/11 = 0.
-1, -2/5, 17
Factor 64*y**2/11 - 80*y/11 + 25/11.
(8*y - 5)**2/11
Factor 3*s**2/4 - 561*s + 104907.
3*(s - 374)**2/4
Find n, given that -n**5 - 42*n**4 + 280*n**3 - 390*n**2 - 279*n + 432 = 0.
-48, -1, 1, 3
Suppose -3*r**2/8 - 207*r/8 + 105/4 = 0. What is r?
-70, 1
Determine j so that 3*j**5/7 + 45*j**4/7 + 102*j**3/7 - 108*j**2/7 - 456*j/7 - 288/7 = 0.
-12, -2, -1, 2
Factor -s**5/4 - 3*s**4/4 + s**3/4 + 11*s**2/4 + 3*s + 1.
-(s - 2)*(s + 1)**3*(s + 2)/4
What is n in 4*n**4 + 29*n**3 + 31*n**2 + 6*n = 0?
-6, -1, -1/4, 0
Factor -f**2 + 3706*f - 3433609.
-(f - 1853)**2
Factor -b**3/4 + 3*b**2/2 + 15*b/4 + 2.
-(b - 8)*(b + 1)**2/4
Factor 2*n**2/15 - 386*n/15 + 764/15.
2*(n - 191)*(n - 2)/15
Suppose 24*l**5 - 550*l**4 - 672*l**3 + 1146*l**2 + 148*l - 96 = 0. What is l?
-2, -1/3, 1/4, 1, 24
Factor -5*z**4 - 410*z**3 - 1195*z**2 - 790*z.
-5*z*(z + 1)*(z + 2)*(z + 79)
Find l, given that 3*l**5 - 60*l**4 - 81*l**3 + 366*l**2 + 276*l - 504 = 0.
-2, 1, 2, 21
What is k in 3*k**5/8 - 3*k**4/8 = 0?
0, 1
Factor -4*m**2/9 + 28*m/9 + 8.
-4*(m - 9)*(m + 2)/9
Solve -2*t**4 - 14*t**3 + 166*t**2 - 402*t + 252 = 0.
-14, 1, 3
Determine u so that 2*u**5/11 + 2*u**4 + 86*u**3/11 + 14*u**2 + 128*u/11 + 40/11 = 0.
-5, -2, -1
Suppose 2*c**3/11 + 400*c**2/11 + 21146*c/11 + 112908/11 = 0. Calculate c.
-97, -6
Let 2*c**4/9 - 386*c**3/9 + 7352*c**2/3 - 317512*c/9 + 295840/9 = 0. Calculate c.
1, 20, 86
Solve -5*n**4/3 - 155*n**3/3 + 1055*n**2/3 - 2005*n/3 + 370 = 0.
-37, 1, 2, 3
Factor -u**2/4 + 1061*u/4.
-u*(u - 1061)/4
Suppose -2*a**3/9 + 2*a**2/3 + 22*a/3 - 70/9 = 0. What is a?
-5, 1, 7
Factor 2*j**3/5 - 16*j**2/5 + 38*j/5 - 24/5.
2*(j - 4)*(j - 3)*(j - 1)/5
Suppose 3*m**5 - 6*m**4 - 21*m**3 + 60*m**2 - 36*m = 0. What is m?
-3, 0, 1, 2
Determine x, given that -8*x**3 + 68*x**2 + 40*x - 36 = 0.
-1, 1/2, 9
Let -2*l**3/13 - 16*l**2/13 - 2*l - 12/13 = 0. What is l?
-6, -1
Factor 2*o**2 - 356*o - 358.
2*(o - 179)*(o + 1)
Factor -t**2/7 - 1910*t - 6384175.
-(t + 6685)**2/7
Factor -3*l**3/2 + 438*l**2.
-3*l**2*(l - 292)/2
Factor -10*y**2 - 338*y - 576.
-2*(y + 32)*(5*y + 9)
Factor 18*m**4 + 163*m**3 + 441*m**2 + 312*m + 16.
(m + 1)*(m + 4)**2*(18*m + 1)
Let -2*y**5 + 18*y**4 + 14*y**3 - 138*y**2 + 108*y = 0. Calculate y.
-3, 0, 1, 2, 9
Solve i**2/2 - 39*i/2 + 70 = 0 for i.
4, 35
Find j such that -j**5/5 + 7*j**4/5 + 11*j**3/5 - 19*j**2 + 134*j/5 - 56/5 = 0.
-4, 1, 2, 7
What is j in 2*j**5 + 646*j**4/5 - 184*j**3 + 264*j**2/5 = 0?
-66, 0, 2/5, 1
Factor -k**4/4 - 41*k**3/4 + 191*k**2/4 + 501*k/4 + 135/2.
-(k - 6)*(k + 1)**2*(k + 45)/4
Factor 3*y**3 - 72*y**2 - 243*y.
3*y*(y - 27)*(y + 3)
Factor -o**4/5 - 8*o**3/5 + o**2/5 + 8*o/5.
-o*(o - 1)*(o + 1)*(o + 8)/5
What is h in 5*h**3 - 270*h**2 - 2075*h - 3660 = 0?
-4, -3, 61
Solve -4*q**2/3 + 4*q/3 + 16 = 0 for q.
-3, 4
Suppose 2*x**5/9 - 100*x**4/9 - 104*x**3/9 + 100*x**2/9 + 34*x/3 = 0. Calculate x.
-1, 0, 1, 51
Let 4*q**4 - 77*q**3 + 155*q**2 - 34*q = 0. What is q?
0, 1/4, 2, 17
Solve 4*j**4/3 - 952*j**3/3 + 19196*j**2 - 112336*j/3 + 55696/3 = 0.
1, 118
Factor -11*h**3/2 + 9*h**2/2 + h.
-h*(h - 1)*(11*h + 2)/2
Factor 2*s**3 - 2*s**2 - 4*s.
2*s*(s - 2)*(s + 1)
Find h such that -h**5/7 + 4*h**4/7 + 39*h**3/7 + 54*h**2/7 = 0.
-3, -2, 0, 9
Suppose s**4 + 12*s**3 + 47*s**2 + 72*s + 36 = 0. Calculate s.
-6, -3, -2, -1
Factor -k**2/3 - 44*k/3 + 92/3.
-(k - 2)*(k + 46)/3
What is d in 5*d**5 - 15*d**4 + 10*d**3 + 10*d**2 - 15*d + 5 = 0?
-1, 1
Suppose -2*s**3 + 12*s**2 - 18*s + 8 = 0. What is s?
1, 4
Find u, given that -u**5/4 - u**4/2 + u**3/4 + u**2/2 = 0.
-2, -1, 0, 1
Factor l**2/2 + 239*l/2 - 735.
(l - 6)*(l + 245)/2
What is l in -2*l**3/3 + 26*l**2 = 0?
0, 39
Solve -4*g**2 - 460*g - 6336 = 0 for g.
-99, -16
Solve 2*h**2 - 64*h = 0.
0, 32
Factor 5*y**2 - 540*y + 1060.
5*(y - 106)*(y - 2)
Let -2*i**3/7 - 404*i**2/7 - 448*i - 6208/7 = 0. What is i?
-194, -4
Factor -4*o**3 - 80*o**2 - 532*o - 1176.
-4*(o + 6)*(o + 7)**2
Factor 2*j**2 + 98*j + 188.
2*(j + 2)*(j + 47)
Suppose u**2/10 + 347*u/5 + 692/5 = 0. Calculate u.
-692, -2
Let -2*b**4/7 - 96*b**3/7 - 1052*b**2/7 + 2400*b/7 - 1250/7 = 0. What is b?
-25, 1
Determine n so that 8*n**5/13 - 720*n**4/13 - 726*n**3/13 - 14*n**2 = 0.
-1/2, 0, 91
Factor 2*x**4/5 + 62*x**3/5 + 56*x**2/5 - 24*x.
2*x*(x - 1)*(x + 2)*(x + 30)/5
Suppose -2*l**5/21 + 2*l**4/3 - 10*l**3/7 + 10*l**2/21 + 32*l/21 - 8/7 = 0. Calculate l.
-1, 1, 2, 3
Suppose -13*j**3 + 1254*j**2 + 1972*j - 1176 = 0. What is j?
-2, 6/13, 98
Determine t, given that -10*t**4/9 + 26*t**3/9 - 8*t**2/9 - 8*t/9 = 0.
-2/5, 0, 1, 2
Find i, given that 2*i**4/5 - 12*i**3/5 + 8*i**2/5 + 12*i/5 - 2 = 0.
-1, 1, 5
Factor 2*k**2/7 + 94*k/7 + 60.
2*(k + 5)*(k + 42)/7
Let 6*h**3/5 + 51*h**2/5 - 87*h/5 + 6 = 0. Calculate h.
-10, 1/2, 1
Let -g**3 + 221*g**2 - 2544*g + 7524 = 0. Calculate g.
6, 209
Find b, given that 7*b**5 - 40*b**4 + 16*b**3 + 176*b**2 - 176*b - 64 = 0.
-2, -2/7, 2, 4
Determine z, given that -5*z**4 - 35*z**3 - 60*z**2 = 0.
-4, -3, 0
Factor 2*f**2 - 564*f - 1136.
2*(f - 284)*(f + 2)
What is l in 2*l**5/3 + 122*l**4/3 + 2158*l**3/3 + 11830*l**2/3 = 0?
-35, -13, 0
Let 20*j**5 + 1035*j**4 + 3680*j**3 + 3855*j**2 + 710*j - 480 = 0. Calculate j.
-48, -2, -1, 1/4
Factor -2*p**4 + 48*p**3 - 368*p**2 + 960*p - 800.
-2*(p - 10)**2*(p - 2)**2
Factor 3*z**2 + 90*z - 525.
3*(z - 5)*(z + 35)
Let 4*q**3/9 - 44*q**2/9 - 172*q/3 + 204 = 0. Calculate q.
-9, 3, 17
Determine w, given that 3*w**3 + 48*w**2 - 3*w - 48 = 0.
-16, -1, 1
Factor -2*s**3/7 - 20*s**2/7 - 58*s/7 - 40/7.
-2*(s + 1)*(s + 4)*(s + 5)/7
What is o in -o**2 - 405*o = 0?
-405, 0
Factor k**3/4 + 9*k**2 - 39*k + 40.
(k - 2)**2*(k + 40)/4
Suppose m**2 - 550*m - 1104 = 0. Calculate m.
-2, 552
Factor -d**2/7 + 542*d/7 + 1635/7.
-(d - 545)*(d + 3)/7
Determine y so that -6*y**3 + 15*y**2 + 177*y + 84 = 0.
-4, -1/2, 7
Let 2*w**4/7 + 74*w**3/7 + 64*w**2 + 856*w/7 + 480/7 = 0. Calculate w.
-30, -4, -2, -1
Factor 4*l**2 + 508*l + 1000.
4*(l + 2)*(l + 125)
Suppose -2*i**4/13 - 116*i**3/13 + 120*i**2/13 + 116*i/13 - 118/13 = 0. What is i?
-59, -1, 1
Determine v, given that v**4/2 + 10*v**3 - 147*v**2/2 + 115*v - 52 = 0.
-26, 1, 4
Factor -m**3/4 - 127*m**2/4 - 4095*m/4 - 3969/4.
-(m + 1)*(m + 63)**2/4
Factor 426409*f**2/2 - 653*f + 1/2.
(653*f - 1)**2/2
Solve 27*y**5/5 + 117*y**4 + 3513*y**3/5 + 6363*y**2/5 + 3156*y/5 + 468/5 = 0.
-13, -6, -2, -1/3
Solve -2*s**4 - 242*s**3 - 708*s**2 + 8*s + 944 = 0 for s.
-118, -2, 1
Factor 3*a**5/2 - 2746*a**4 + 3773003*a**3/3 - 837530*a**2 + 279075*a/2.
a*(a - 915)**2*(3*a - 1)**2/6
Suppose -5*t**2/4 + 3565*t/4 - 4425 = 0. What is t?
5, 708
Suppose -2*b**3/11 + 34*b**2/11 - 190*b/11 + 350/11 = 0. Calculate b.
5, 7
Find b, given that 36*b**5 - 1200*b**4 - 4731*b**3 - 5589*b**2 - 2652*b - 444 = 0.
-2, -2/3, -1/2, 37
Solve -18*f**5/7 - 32*f**4/7 + 104*f**3 + 740*f**2/7 - 6950*f/7 + 1500/7 = 0.
-5, 2/9, 3, 5
Factor -3*p**3 - 144*p**2 - 135*p + 282.
-3*(p - 1)*(p + 2)*(p + 47)
Solve -15*r**4 + 40*r**3 + 5*r**2 - 70*r + 40 = 0.
-4/3, 1, 2
Factor r**2/2 - 9*r/2.
r*(r - 9)/2
Find v, given that -3*v**4 + 51*v**2 - 108*v + 60 = 0.
-5, 1, 2
Let -9*i**5/4 - 51*i**4/4 + 15*i**3 + 60*i**2 - 24*i - 36 = 0. What is i?
-6, -2, -2/3, 1, 2
Solve 3*b**4 + 75*b**3 + 429*b**2 - 507*b = 0.
-13, 0, 1
Factor -3*j**2 + 3051*j + 3054.
-3*(j - 1018)*(j + 1)
Determine m, given that -3*m**4 + 156*m**3 - 1866*m**2 - 4212*m - 2187 = 0.
-1, 27
Let -2*m**3/3 - 424*m**2 - 89888*m - 19056256/3 = 0. Calculate m.
-212
Solve -p**2/6 - 231*p = 0.
-1386, 0
Factor g**3/6 + g**2/2 - 11*g/3 - 4.
(g - 4)*(g + 1)*(g + 6)/6
Factor 2*w**2 - 1174*w.
2*w*(w - 587)
Solve 5*v**2 + 15890*v + 12624605 = 0 for v.
-1589
Factor -2*t**2 + 74*t + 1176.
-2*(t - 49)*(t + 12)
Let 16*t**5 - 20*t**4 - 76*t**3 - 28*t**2 + 12*t = 0. Calculate t.
-1, 0, 1/4, 3
What is w in 5*w**4 + 40*w**3 - 135*w**2 - 370*w - 200 = 0?
-10, -1, 4
Factor -4*b**2/5 + 2322*b/5 + 3492/5.
-2*(b - 582)*(2*b + 3)/5
Factor o**2/3 - 55*o/3 - 236/3.
(o - 59)*(o + 4)/3
Factor 3*b**4 - 84*b**3 - 87*b**2.
3*b**2*(b - 29)*(b + 1)
What is j in -4*j**2 - 32*j + 36 = 0?
-9, 1
Solve 2*o**2/11 - 972*o/11 + 118098/11 = 0.
243
Find n such that 2*n**3/11 + 42*n**2/11 + 40*n/11 = 0.
-20, -1, 0
Factor -2*q**4/3 - 