+ 457)/3
Factor -2*y**4/19 + 8*y**3/19 + 24*y**2/19.
-2*y**2*(y - 6)*(y + 2)/19
Solve -2*h**4/13 - 4*h**3 - 384*h**2/13 - 576*h/13 = 0 for h.
-12, -2, 0
Find d, given that 4*d**5 + 119*d**4/2 - 23*d**3/2 - 119*d**2/2 + 15*d/2 = 0.
-15, -1, 0, 1/8, 1
Factor 3*u**3/7 - 240*u**2/7 - 489*u/7 - 246/7.
3*(u - 82)*(u + 1)**2/7
What is f in 3*f**2 + 63*f + 162 = 0?
-18, -3
Let 3*b**3/4 + 75*b**2/4 + 429*b/4 - 507/4 = 0. Calculate b.
-13, 1
Factor -2*a**3 - 70*a**2 - 56*a + 408.
-2*(a - 2)*(a + 3)*(a + 34)
Suppose 2*f**3/11 - 894*f**2/11 - 896*f/11 = 0. Calculate f.
-1, 0, 448
Factor -2*t**4 + 16*t**2 - 32.
-2*(t - 2)**2*(t + 2)**2
Factor u**2/2 + 6044*u + 18264968.
(u + 6044)**2/2
Factor 2*j**4 - 60*j**3 - 66*j**2 + 124*j.
2*j*(j - 31)*(j - 1)*(j + 2)
Determine l, given that 3*l**2/4 - 9*l/4 - 30 = 0.
-5, 8
Factor -x**2 - 7*x - 10.
-(x + 2)*(x + 5)
Factor 3*o**3 - 327*o**2 + 1878*o - 2472.
3*(o - 103)*(o - 4)*(o - 2)
Let r**3 + 929*r**2/4 - 175*r - 233/4 = 0. What is r?
-233, -1/4, 1
Solve -2*s**3/15 + 26*s**2/15 - 26*s/5 + 18/5 = 0 for s.
1, 3, 9
Solve -3*o**2/4 - 51*o/4 - 99/2 = 0.
-11, -6
Factor 2*c**3 + 42*c**2 + 136*c.
2*c*(c + 4)*(c + 17)
Solve -5*n**4 - 80*n**3 + 380*n**2 - 400*n = 0.
-20, 0, 2
Factor 4*q**2 + 144*q + 140.
4*(q + 1)*(q + 35)
Factor n**4/7 - 16*n**3/7 + 29*n**2/7 - 2*n.
n*(n - 14)*(n - 1)**2/7
Let -3*a**4 + 73*a**3/5 - 22*a**2 + 44*a/5 + 8/5 = 0. What is a?
-2/15, 1, 2
Let 5*w**3 - 15*w + 10 = 0. Calculate w.
-2, 1
Find o such that -3*o**3 + 3*o**2 + 3*o - 3 = 0.
-1, 1
Factor 2*m**2 + 4460*m/9 - 992/9.
2*(m + 248)*(9*m - 2)/9
Factor 2*g**3/5 - 4*g**2/5 - 22*g/5 + 24/5.
2*(g - 4)*(g - 1)*(g + 3)/5
Determine g so that g**4 - 32*g**3 + 276*g**2 - 720*g = 0.
0, 6, 20
Factor b**4 - 18*b**3 + 117*b**2 - 324*b + 324.
(b - 6)**2*(b - 3)**2
Factor -3*b**4 + 27*b**3 - 84*b**2 + 108*b - 48.
-3*(b - 4)*(b - 2)**2*(b - 1)
Suppose a**5/3 - 14*a**4/3 - 31*a**3/3 - 16*a**2/3 = 0. What is a?
-1, 0, 16
Find u, given that -2*u**2/13 - 2604*u/13 = 0.
-1302, 0
Factor 9*k**3/5 + 124*k**2/5 - 163*k/5 + 6.
(k - 1)*(k + 15)*(9*k - 2)/5
What is a in -a**3/2 + a**2/2 + 2*a - 2 = 0?
-2, 1, 2
Factor -5*n**5/4 + 1035*n**4/2 - 212165*n**3/4 - 107640*n**2 - 54080*n.
-5*n*(n - 208)**2*(n + 1)**2/4
Suppose -39*m**2 - 54*m - 15 = 0. What is m?
-1, -5/13
Factor -4*c**4 - 1352*c**3 + 4*c**2 + 1352*c.
-4*c*(c - 1)*(c + 1)*(c + 338)
Let -4*b**3 - 44*b**2 + 16*b + 176 = 0. Calculate b.
-11, -2, 2
Factor u**4/5 + 9*u**3/5 + 6*u**2/5 - 16*u/5.
u*(u - 1)*(u + 2)*(u + 8)/5
Factor b**2 + 114*b + 749.
(b + 7)*(b + 107)
Find c such that -15*c**3/2 + 725*c**2/2 - 1105*c - 900 = 0.
-2/3, 4, 45
Factor 2*t**2 - 106*t - 108.
2*(t - 54)*(t + 1)
Factor 4*u**5 + 12*u**4 + 12*u**3 + 4*u**2.
4*u**2*(u + 1)**3
Solve -237*a**3 - 1890*a**2 - 1611*a + 42 = 0 for a.
-7, -1, 2/79
Suppose x**4/5 + 37*x**3/5 - 32*x**2 + 164*x/5 = 0. Calculate x.
-41, 0, 2
Factor -4*x**3/7 - 316*x**2/7 + 4*x/7 + 316/7.
-4*(x - 1)*(x + 1)*(x + 79)/7
Suppose 5*u**5 - 5*u**4 - 45*u**3 + 45*u**2 = 0. Calculate u.
-3, 0, 1, 3
Suppose 21*z**2 - 729*z - 210 = 0. Calculate z.
-2/7, 35
Factor 435*t**3/2 + 92*t**2 + 2*t.
t*(5*t + 2)*(87*t + 2)/2
Factor b**3/4 + 5*b**2/4 + 7*b/4 + 3/4.
(b + 1)**2*(b + 3)/4
Factor -2*z**2 + 210*z - 612.
-2*(z - 102)*(z - 3)
Suppose s**4 - 2*s**3 - 13*s**2 - 10*s = 0. Calculate s.
-2, -1, 0, 5
Let 16*u**4 + 60*u**3 + 32*u**2 - 12*u = 0. Calculate u.
-3, -1, 0, 1/4
Determine s, given that -s**3/3 + 99*s**2 - 7400*s + 21904/3 = 0.
1, 148
Factor 26*k**2 + 56*k + 392/13.
2*(13*k + 14)**2/13
Find w such that 2*w**4/3 - 6*w**3 - 346*w**2/3 - 210*w - 304/3 = 0.
-8, -1, 19
Suppose 4*v**3 - 24*v**2 - 144*v - 160 = 0. Calculate v.
-2, 10
Factor 3*n**3/8 - 843*n**2/4 + 236883*n/8.
3*n*(n - 281)**2/8
Factor n**5/8 - 108*n**4 + 93743*n**3/4 - 46548*n**2 + 185761*n/8.
n*(n - 431)**2*(n - 1)**2/8
Let -f**2/9 + 4*f + 160/9 = 0. Calculate f.
-4, 40
Factor 5*r**3 + 4*r**2 - r.
r*(r + 1)*(5*r - 1)
Factor -3*n**4 + 21*n**3.
-3*n**3*(n - 7)
Factor -n**4 + n**3 + 13*n**2 - 25*n + 12.
-(n - 3)*(n - 1)**2*(n + 4)
Solve h**5/2 + h**4 = 0 for h.
-2, 0
Factor 4*j**2/7 - 60*j/7 - 64/7.
4*(j - 16)*(j + 1)/7
Factor 6*o**2/7 + 18255*o/7 - 9129/7.
3*(o + 3043)*(2*o - 1)/7
Factor 8*h**3/7 - 838*h**2 + 1466*h/7.
2*h*(h - 733)*(4*h - 1)/7
Factor 2*s**4/5 + 62*s**3/5 + 132*s**2 + 520*s + 400.
2*(s + 1)*(s + 10)**3/5
Find k, given that -36*k**5 - 84*k**4 - 4*k**3 + 36*k**2 - 8*k = 0.
-2, -1, 0, 1/3
Factor 4*j**3/3 - 1100*j**2/3 + 10700*j/3 - 26500/3.
4*(j - 265)*(j - 5)**2/3
Determine o so that 2*o**2/5 + 160*o + 16000 = 0.
-200
Factor 4800*w**5 + 9840*w**4 + 7443*w**3 + 2460*w**2 + 300*w.
3*w*(5*w + 2)**2*(8*w + 5)**2
Suppose -p**3 + 23*p**2 - 143*p + 121 = 0. What is p?
1, 11
Find t such that -t**3/2 + 175*t**2/2 - 427*t + 340 = 0.
1, 4, 170
Factor -3*k**4 + 171*k**3 + 909*k**2 + 1293*k + 558.
-3*(k - 62)*(k + 1)**2*(k + 3)
Factor 2*m**3 + 1128*m**2 + 154440*m - 1308736.
2*(m - 8)*(m + 286)**2
Find h, given that h**4/6 + 35*h**3/2 + 201*h**2/2 + 297*h/2 = 0.
-99, -3, 0
Determine t, given that t**2/6 - 800*t/3 - 1601/6 = 0.
-1, 1601
Determine y, given that -2*y**2/3 - 590*y/3 = 0.
-295, 0
Suppose 3*h**3 - 9*h - 6 = 0. Calculate h.
-1, 2
Factor 18*x**4/5 - 408*x**3/5 + 266*x**2/5 - 44*x/5.
2*x*(x - 22)*(3*x - 1)**2/5
Find y, given that -16*y**5 - 208*y**4 + 12*y**3 + 152*y**2 - 52*y = 0.
-13, -1, 0, 1/2
What is m in 3*m**2 - 715*m - 478 = 0?
-2/3, 239
Let g**2 + 249*g = 0. Calculate g.
-249, 0
Factor 4*j**4 + 64*j**3 - 144*j**2.
4*j**2*(j - 2)*(j + 18)
Suppose a**5/5 - 71*a**4/5 - 44*a**3 - 148*a**2/5 = 0. Calculate a.
-2, -1, 0, 74
Factor 4*f**4 + 212*f**3 + 2692*f**2 - 3348*f - 5832.
4*(f - 2)*(f + 1)*(f + 27)**2
Find p such that -14*p**5 + 18*p**4 + 66*p**3 + 22*p**2 - 12*p = 0.
-1, 0, 2/7, 3
Factor -5*k**5 - 325*k**4.
-5*k**4*(k + 65)
Solve -18*m**2 + 305*m + 17 = 0 for m.
-1/18, 17
Factor -r**3/3 + 6*r**2 - 47*r/3 + 10.
-(r - 15)*(r - 2)*(r - 1)/3
Suppose -2*n**2/5 - 156*n/5 - 3042/5 = 0. What is n?
-39
Factor -4*p**2 - 1788*p/5 - 712/5.
-4*(p + 89)*(5*p + 2)/5
Determine l so that l**3 - 35*l**2 + 174*l = 0.
0, 6, 29
Suppose -9*u**4 - 9*u**3 + 94*u**2 + 196*u + 88 = 0. What is u?
-2, -2/3, 11/3
Find f, given that 2*f**3 - 52*f**2 + 440*f - 1200 = 0.
6, 10
Find b such that b**4 + 19*b**3 - 21*b**2 - 19*b + 20 = 0.
-20, -1, 1
Factor d**3/4 + 439*d**2/4 + 866*d + 1724.
(d + 4)**2*(d + 431)/4
Suppose -w**2/6 - 41*w - 5043/2 = 0. Calculate w.
-123
Factor -s**2/5 + s/5 + 12/5.
-(s - 4)*(s + 3)/5
Let 2*g**5/9 - 34*g**4/3 - 776*g**3/9 - 2048*g**2/9 - 256*g - 928/9 = 0. Calculate g.
-2, -1, 58
Determine k, given that -2*k**5 + 766*k**4 - 764*k**3 = 0.
0, 1, 382
Let -2*c**3/15 - 20*c**2/3 - 194*c/15 - 32/5 = 0. What is c?
-48, -1
Solve -2*k**2/9 + 26*k/3 + 80/9 = 0 for k.
-1, 40
Suppose 2*x**2/11 - 1412*x/11 + 249218/11 = 0. What is x?
353
Determine b so that b**5 - 44*b**4 - 6*b**3 + 272*b**2 - 355*b + 132 = 0.
-3, 1, 44
Factor 3*s**2 - 108*s + 105.
3*(s - 35)*(s - 1)
Factor o**4/2 + 3*o**3/2 - o**2/2 - 3*o/2.
o*(o - 1)*(o + 1)*(o + 3)/2
Determine n so that -2*n**5/17 - 8*n**4/17 + 8*n**3/17 + 44*n**2/17 - 6*n/17 - 36/17 = 0.
-3, -1, 1, 2
Solve n**2/2 - 129*n/2 - 266 = 0 for n.
-4, 133
Let -3*p**2 - 3681*p - 3678 = 0. Calculate p.
-1226, -1
Factor 3*s**3/7 + 330*s**2/7 + 9396*s/7 + 17496/7.
3*(s + 2)*(s + 54)**2/7
Factor -3*j**5/5 + 102*j**4 - 22176*j**3/5 + 42336*j**2/5.
-3*j**2*(j - 84)**2*(j - 2)/5
Factor 31*v**3/8 + 959*v**2/8 - 527*v/2 + 33/2.
(v - 2)*(v + 33)*(31*v - 2)/8
Find b, given that 3*b**4/8 - 99*b**3/4 + 3639*b**2/8 - 3069*b/2 + 2883/2 = 0.
2, 31
Suppose 4*c**5 - 72*c**4 + 468*c**3 - 1280*c**2 + 1200*c = 0. Calculate c.
0, 2, 5, 6
Determine q, given that q**3/5 - 27*q**2/5 - 6*q + 56/5 = 0.
-2, 1, 28
Factor 3*q**2 + 975*q - 978.
3*(q - 1)*(q + 326)
Suppose -60*q**3 + 3320*q**2 - 1095*q - 275 = 0. Calculate q.
-1/6, 1/2, 55
Find k such that 48*k**4/5 - 468*k**3/5 - 636*k**2/5 - 261*k/5 - 33/5 = 0.
-1/2, -1/4, 11
Factor -363*u**3 - 198*u**2 - 27*u.
-3*u*(11*u + 3)**2
Determine s so that s**5 - 10*s**4 + 24*s**3 - 22*s**2 + 7*s = 0.
0, 1, 7
Suppose 2*y**2/15 + 2*y/3 - 16/5 = 0. What is y?
-8, 3
Find r, given that -r**3/10 - 20*r**2 - 593*r/10 - 197/5 = 0.
-197, -2, -1
Find m, given that m**5/3 - 3*m**4 + 26*m**3/