5/3 - 28*r**4/3 + 10*r**3.
-2*r**3*(r - 1)*(r + 15)/3
Let -m**4 - 35*m**3 - 354*m**2 - 832*m - 512 = 0. Calculate m.
-16, -2, -1
Factor -o**2/4 - 5*o/2 - 6.
-(o + 4)*(o + 6)/4
Factor -23*n**3 + 186*n**2 - 292*n + 24.
-(n - 6)*(n - 2)*(23*n - 2)
Factor -2*k**4 + 26*k**3 + 6*k**2 - 594*k - 972.
-2*(k - 9)**2*(k + 2)*(k + 3)
Factor c**4 + 10*c**3 - 91*c**2 + 80*c.
c*(c - 5)*(c - 1)*(c + 16)
Solve 3*h**4 - 117*h**3 + 1554*h**2 - 7488*h + 6048 = 0.
1, 12, 14
Factor -2*m**4 - 18*m**3 + 44*m**2.
-2*m**2*(m - 2)*(m + 11)
Factor -1572*x**3 + 4732*x**2 - 3192*x + 32.
-4*(x - 2)*(x - 1)*(393*x - 4)
Let 2*k**2/13 - 32620*k/13 + 133008050/13 = 0. What is k?
8155
Factor -3*s**2 + 24*s + 99.
-3*(s - 11)*(s + 3)
Factor 2*d**4/23 - 18*d**3/23 + 48*d**2/23 - 32*d/23.
2*d*(d - 4)**2*(d - 1)/23
Solve 5*p**4 + 55*p**3 - 65*p**2 - 55*p + 60 = 0 for p.
-12, -1, 1
Factor 2*n**2 + 104*n - 570.
2*(n - 5)*(n + 57)
Factor -z**2/4 - 17*z/2 - 289/4.
-(z + 17)**2/4
Determine g, given that -50*g**3/7 - 230*g**2/7 - 272*g/7 - 96/7 = 0.
-3, -4/5
Factor -n**3/5 + 28*n**2/5 - 99*n/5 + 72/5.
-(n - 24)*(n - 3)*(n - 1)/5
Determine c so that -2*c**4 - 34*c**3/3 + 80*c**2/3 + 136*c/3 - 224/3 = 0.
-7, -2, 4/3, 2
Factor -2*z**4/3 + 4*z**3/3 + 10*z**2/3 - 4*z.
-2*z*(z - 3)*(z - 1)*(z + 2)/3
Factor -3*k**3/5 + 12*k**2 - 204*k/5 + 192/5.
-3*(k - 16)*(k - 2)**2/5
Factor -54*l**4/13 + 5238*l**3/13 - 10332*l**2/13 + 6856*l/13 - 1520/13.
-2*(l - 95)*(3*l - 2)**3/13
Factor 3*q**4 - 6*q**3.
3*q**3*(q - 2)
Factor -z**2/4 - z/4 + 3.
-(z - 3)*(z + 4)/4
Suppose -3*z**4/7 - 57*z**3/7 - 33*z**2 + 57*z/7 + 234/7 = 0. Calculate z.
-13, -6, -1, 1
Factor -3*p**5 - 18*p**4 + 108*p**3 - 120*p**2.
-3*p**2*(p - 2)**2*(p + 10)
Factor 245*v**4 - 1400*v**3 - 3250*v**2 + 15000*v + 28125.
5*(v - 5)**2*(7*v + 15)**2
Find z, given that -z**4/5 + 494*z**3/5 = 0.
0, 494
Find h such that -108*h**5 - 624*h**4 - 1292*h**3 - 1144*h**2 - 400*h - 32 = 0.
-2, -1, -2/3, -1/9
Factor 3*s**4 + 9*s**3 - 18*s**2 - 84*s - 72.
3*(s - 3)*(s + 2)**3
Suppose -j**5 + j**4 + 13*j**3 - 25*j**2 + 12*j = 0. What is j?
-4, 0, 1, 3
Factor -3*j**2/4 + 1299*j/4 + 3951/2.
-3*(j - 439)*(j + 6)/4
Factor -g**2/3 - 677*g/3 + 1358/3.
-(g - 2)*(g + 679)/3
Factor -5*p**4 + 140*p**3 + 465*p**2.
-5*p**2*(p - 31)*(p + 3)
Let -3*f**3 - 23*f**2/7 + 40*f/7 + 4/7 = 0. What is f?
-2, -2/21, 1
Factor -k**5/5 - 3*k**4/5 + 4*k**2/5.
-k**2*(k - 1)*(k + 2)**2/5
Suppose -5*i**5 - 100*i**4 - 500*i**3 = 0. What is i?
-10, 0
Suppose -i**2/4 - 343*i/4 + 345/2 = 0. Calculate i.
-345, 2
Factor -c**3/3 - 1300*c**2/3 + c/3 + 1300/3.
-(c - 1)*(c + 1)*(c + 1300)/3
Find k, given that -11*k**3/6 - 13*k**2/6 + 10*k/3 + 2/3 = 0.
-2, -2/11, 1
Factor -3*j**2/2 + 37*j/2 - 6.
-(j - 12)*(3*j - 1)/2
Determine u, given that -2*u**4/5 + 188*u**3/5 - 4602*u**2/5 + 8648*u/5 - 4232/5 = 0.
1, 46
Factor 34*t**2 + 6*t.
2*t*(17*t + 3)
Factor -u**3 - 2*u**2 + 13*u - 10.
-(u - 2)*(u - 1)*(u + 5)
Find h such that 3*h**3 + 183*h**2 + 522*h = 0.
-58, -3, 0
Solve 27*p**3 + 2637*p**2 - 3552*p + 1188 = 0 for p.
-99, 2/3
Solve -5*i**2 + 420*i + 1760 = 0.
-4, 88
Factor x**2/6 + 59*x + 353/6.
(x + 1)*(x + 353)/6
Solve -3*b**2 + 642*b - 34347 = 0.
107
Factor 4*m**2/7 - 200*m/7 + 736/7.
4*(m - 46)*(m - 4)/7
Factor -5*l**2 + 175*l - 1080.
-5*(l - 27)*(l - 8)
Factor -y**5 + 8*y**4 + 10*y**3 - 8*y**2 - 9*y.
-y*(y - 9)*(y - 1)*(y + 1)**2
Factor -z**3/5 + 26*z**2/5 + 17*z + 58/5.
-(z - 29)*(z + 1)*(z + 2)/5
Factor -f**3/2 - 75*f**2/2 - 684*f + 722.
-(f - 1)*(f + 38)**2/2
Factor 2*a**3/7 - 72*a**2/7 + 138*a/7 - 68/7.
2*(a - 34)*(a - 1)**2/7
Factor -u**4 - 3*u**3 + 6*u**2 + 28*u + 24.
-(u - 3)*(u + 2)**3
Determine c, given that c**5/10 + 9*c**4/10 + 27*c**3/10 + 31*c**2/10 + 6*c/5 = 0.
-4, -3, -1, 0
Suppose 4*p**5 - 26*p**4 - 238*p**3 - 304*p**2 - 96*p = 0. Calculate p.
-4, -1, -1/2, 0, 12
Determine p, given that 2*p**2/13 + 40*p/13 + 72/13 = 0.
-18, -2
Find f, given that f**2/3 - 4577*f/3 = 0.
0, 4577
Factor 3*j**3 + 30*j**2 - 300*j - 3000.
3*(j - 10)*(j + 10)**2
Factor 21*w**3/5 - 141*w**2/5 - 42*w/5.
3*w*(w - 7)*(7*w + 2)/5
Find n such that -n**2/3 - 10*n - 29/3 = 0.
-29, -1
Suppose g**2/4 - 125*g/2 + 366 = 0. What is g?
6, 244
Factor 5*n**4 + 85*n**3 + 480*n**2 + 1040*n + 640.
5*(n + 1)*(n + 4)**2*(n + 8)
Let -2*s**2/5 + 64*s/5 + 66/5 = 0. Calculate s.
-1, 33
Suppose -31*h**3 + 9*h**2/7 + 31*h - 9/7 = 0. Calculate h.
-1, 9/217, 1
Factor 4*m**2/3 + 268*m - 3280/3.
4*(m - 4)*(m + 205)/3
Determine x so that 2*x**3 + 12*x**2 + 10*x = 0.
-5, -1, 0
Factor 729*q**4/2 + 37665*q**3/2 + 648675*q**2/2 + 3723875*q/2.
q*(9*q + 155)**3/2
Factor -2*d**4/5 + 16*d**3/5 - 36*d**2/5 + 54/5.
-2*(d - 3)**3*(d + 1)/5
Solve 2*f**3/5 - 208*f**2/5 + 6944*f/5 - 75264/5 = 0.
28, 48
Find d such that -d**3/4 + 27*d**2/4 + 45*d/2 = 0.
-3, 0, 30
Factor -2*n**3/5 + 42*n**2/5 - 54*n + 486/5.
-2*(n - 9)**2*(n - 3)/5
Determine q, given that -q**2 + 546*q = 0.
0, 546
Determine n, given that -n**4/3 - 11*n**3/3 - 7*n**2 + 59*n/3 + 70/3 = 0.
-7, -5, -1, 2
Find l, given that 2*l**2 + 42*l - 144 = 0.
-24, 3
Factor 2*d**5 - 12*d**4 + 28*d**3 - 32*d**2 + 18*d - 4.
2*(d - 2)*(d - 1)**4
Factor -o**2 + 132*o - 4356.
-(o - 66)**2
Determine d so that -2*d**2/7 + 20*d/7 - 6 = 0.
3, 7
Factor 3*s**5/2 - 12*s**4 + 36*s**3 - 48*s**2 + 24*s.
3*s*(s - 2)**4/2
Factor -2*k**3/17 + 28*k**2/17 - 6*k + 108/17.
-2*(k - 9)*(k - 3)*(k - 2)/17
Factor y**4/5 - 8*y**3/5 + 7*y**2/5.
y**2*(y - 7)*(y - 1)/5
Determine f so that 2*f**5 + 4*f**4 - 2*f**3 - 4*f**2 = 0.
-2, -1, 0, 1
Factor -n**3/3 + 52*n**2/3 - 229*n/3 - 94.
-(n - 47)*(n - 6)*(n + 1)/3
Find j, given that -15*j**5 - 595*j**4 - 375*j**3 + 595*j**2 + 390*j = 0.
-39, -1, -2/3, 0, 1
Solve -9*y**5/2 - 47*y**4/2 - 55*y**3/2 + 35*y**2/2 + 32*y + 6 = 0.
-3, -2, -1, -2/9, 1
Determine q so that 3*q**3/2 + 9*q**2 + 33*q/2 + 9 = 0.
-3, -2, -1
Solve -2*v**4/7 - 32*v**3/7 + 264*v**2/7 = 0.
-22, 0, 6
Suppose -20*p**4 - 208*p**3 - 580*p**2 - 200*p = 0. Calculate p.
-5, -2/5, 0
Find v, given that v**4/8 + v**3/2 - 77*v**2/8 = 0.
-11, 0, 7
Factor -4*l**3 - 4*l**2 + 16*l + 16.
-4*(l - 2)*(l + 1)*(l + 2)
Solve -10*q**5/3 + 286*q**4/3 - 2734*q**3/3 + 9530*q**2/3 - 7832*q/3 - 4840/3 = 0 for q.
-2/5, 2, 5, 11
Factor -2*r**3 + 4*r**2 + 16*r.
-2*r*(r - 4)*(r + 2)
Determine v, given that 2*v**4/9 - 32*v**3/9 + 14*v**2/9 + 88*v/3 - 40 = 0.
-3, 2, 15
Factor -d**2 - 3410*d.
-d*(d + 3410)
Let 2*c**5/11 - 64*c**4/11 - 984*c**3/11 - 288*c**2 = 0. What is c?
-6, 0, 44
Find w such that 5*w**4 + 255*w**3 - 535*w**2 - 255*w + 530 = 0.
-53, -1, 1, 2
Find c, given that -c**4 + 19*c**3 + 22*c**2 - 40*c = 0.
-2, 0, 1, 20
Factor -2*p**4/3 + 1420*p**3/3 - 249194*p**2/3 - 337960*p - 339864.
-2*(p - 357)**2*(p + 2)**2/3
Let -1445*z**4/4 + 1615*z**3/2 - 2145*z**2/4 + 95*z - 5 = 0. Calculate z.
2/17, 1
Determine q, given that 2*q**3 - 276*q**2 + 9240*q + 19600 = 0.
-2, 70
Factor l**2/4 - 3*l/2 + 2.
(l - 4)*(l - 2)/4
Factor -3*f**3/2 - 72*f**2 + 147*f/2.
-3*f*(f - 1)*(f + 49)/2
Factor 4*o**2 - 3316*o + 3312.
4*(o - 828)*(o - 1)
Find t, given that t**5/9 + 16*t**4/9 - 19*t**3/3 + 4*t**2/9 + 76*t/9 = 0.
-19, -1, 0, 2
Factor -2*s**4/9 - 40*s**3/9 - 200*s**2/9.
-2*s**2*(s + 10)**2/9
What is m in 2*m**3/7 - 18*m**2/7 - 96*m/7 - 104/7 = 0?
-2, 13
Factor 5*s**4/3 - 20*s**3/3 + 10*s**2/3 + 20*s/3 - 5.
5*(s - 3)*(s - 1)**2*(s + 1)/3
Factor -2*i**2/5 - 4066*i/5.
-2*i*(i + 2033)/5
Determine r, given that -r**2/3 - 59*r/3 = 0.
-59, 0
Factor -3*c**4 - 9*c**3 + 69*c**2 - 99*c + 42.
-3*(c - 2)*(c - 1)**2*(c + 7)
Let 8*w**4/9 + 14*w**3 - 1048*w**2/9 + 126*w - 220/9 = 0. What is w?
-22, 1/4, 1, 5
Factor -4*i**3 + 160*i**2 + 4*i - 160.
-4*(i - 40)*(i - 1)*(i + 1)
Solve -5*m**2 - 80*m + 85 = 0.
-17, 1
Factor -2*c**3/11 + 158*c**2/11 - 460*c/11 + 304/11.
-2*(c - 76)*(c - 2)*(c - 1)/11
Factor 2*j**5 + 54*j**4 - 440*j**3 + 1184*j**2 - 1344*j + 544.
2*(j - 2)**3*(j - 1)*(j + 34)
Suppose -j**2/2 - 89*j - 177/2 = 0. What is j?
-177, -1
Solve -c**5/7 + 9*c**4/7 + 36*c**3/7 = 0 for c.
-3, 0, 12
Solve -4*i**5 + 4*i**4 + 12*i**3 - 20*i**2 + 8*i = 0.
-2, 0, 1
Factor -h**3/4 + 503*h**2/4 - 15750*h - 15876.
-(h - 252)**2*(h + 1)/4
Find a such that -2*a**3/7 - 12*a**2/7 + 64/7 = 0.
-4, 2
Let 3*y**4/7 - 72*y**3/7 + 486*y**2/7 - 768*y/7 + 351/7 = 0. What is y?
1, 9, 13
Determine c, given th