*2 - 263*o. Factor m(d).
3*(d - 223)*(d + 1)/7
Let y = 15064/30495 + 80/2033. Factor -44402/15*f**2 + 1192/15*f - y.
-2*(149*f - 2)**2/15
Let s = 3323/69 + -1100/23. Let z(n) be the third derivative of -1/3*n**4 - s*n**3 - 7/120*n**5 + 0 + 0*n - 16*n**2. Solve z(g) = 0.
-2, -2/7
Factor 1/3*s**3 + 3136*s - 3072 - 193/3*s**2.
(s - 96)**2*(s - 1)/3
Let t(s) be the second derivative of -s**4/21 - 6*s**3/7 + 20*s**2/7 + 121*s + 8. Find g, given that t(g) = 0.
-10, 1
Suppose 0 = 21*g + 22*g - 22360. Let h be 4/(-14) + g/546. Find s, given that h*s - 2/3*s**2 + 2/3 - 2/3*s**3 = 0.
-1, 1
Suppose 676*x + 862*x - 1870*x - 672 = -668*x. Find n, given that 0*n + 0 + 2/5*n**x = 0.
0
Suppose -z + 4*o - 7 = 0, -621*z + 616*z - o = -91. Let i(x) be the first derivative of z - 16/3*x**3 + x**4 + 0*x - 8*x**2 + 4/5*x**5. Factor i(k).
4*k*(k - 2)*(k + 1)*(k + 2)
Let t(n) be the first derivative of -10*n**6/3 + 117*n**5 - 4045*n**4/4 - 1175*n**3 + 1125*n**2/2 - 2660. Let t(c) = 0. Calculate c.
-1, 0, 1/4, 15
Let d(k) be the third derivative of k**5/15 - 167*k**4/84 - 4*k**3/7 + 349*k**2 + 2*k - 1. Factor d(a).
2*(a - 12)*(14*a + 1)/7
Let t be ((-618)/6695)/(360/(-42400)*4/6). Factor -5618/13 + t*h - 2/13*h**2.
-2*(h - 53)**2/13
Determine u so that -107/2*u + 54*u**3 - 10 - 207/4*u**2 - 27/4*u**4 = 0.
-1/3, 2, 20/3
Factor -27/10*a + 234/5 - 1/10*a**2.
-(a - 12)*(a + 39)/10
Factor 15*i + 10*i**2 - 22 - 48 - 76*i + i**3.
(i - 5)*(i + 1)*(i + 14)
Suppose -5*t = 73*u - 70*u - 9, -2*t = -2*u + 22. Let s be -2*u*1911/(-468). Factor -s*y - 42*y**2 - 20/3*y**3 + 343/3 - 1/3*y**4.
-(y - 1)*(y + 7)**3/3
Let l(u) be the second derivative of u**5/8 + 145*u**4/12 - 5*u**3/12 - 145*u**2/2 + 1883*u. Factor l(v).
5*(v - 1)*(v + 1)*(v + 58)/2
Suppose -90*g - 43*g = -54*g + 67*g - 438. Determine z, given that 14/9*z + 0 - 2/9*z**4 + 2*z**g - 10/3*z**2 = 0.
0, 1, 7
Solve -550 - 70/3*u + 2/9*u**3 + 38/9*u**2 = 0 for u.
-15, 11
Let h(v) = -v**2 + 14*v + 28. Let z be h(12). Let f = 70 - z. Determine r so that -20*r**2 - 10*r**5 + 42*r**2 + 24*r**4 - 18*r**2 - f*r**3 = 0.
0, 2/5, 1
Let w(s) = -9*s**3 - 60*s**2 + 3*s + 45. Let l(d) = -3*d - 20*d**3 - 87 + 9*d**3 - 3 + 30*d**3 + 121*d**2. Let n(p) = -3*l(p) - 5*w(p). Factor n(g).
-3*(g + 1)*(g + 5)*(4*g - 3)
Let r(q) = 19*q + 684. Let p be r(-36). Let j = -67 + 67. Factor 0*o + j*o**2 + p - 2/9*o**3 - 1/9*o**4.
-o**3*(o + 2)/9
Suppose 1782*k - 2936 = 628. Find x such that -2*x**3 - 2/3*x**4 + 0 + 20/3*x**k + 0*x = 0.
-5, 0, 2
Let q be (1440/176)/(6/88). Let f be (3 - 1515/520) + 45/q. Find s, given that -10/13*s**3 - 6/13*s**2 + 10/13*s + f = 0.
-1, -3/5, 1
Let v(j) be the third derivative of 0*j - 2/15*j**6 + 0*j**5 + 10*j**2 + 2/105*j**7 + 8/3*j**4 - 32/3*j**3 - 4. Factor v(o).
4*(o - 2)**3*(o + 2)
Suppose 54*t - 144 = 6*t. Suppose 13 = 3*p + r, r = -t*p - r + 14. Solve 104/7*q**3 + 0 + 0*q + 20*q**p + 16/7*q**2 - 14*q**5 = 0 for q.
-2/7, 0, 2
Let n(d) = -5*d**3 - 13*d**2 + 3*d. Let v(j) = -21*j**3 - 53*j**2 + 13*j. Let o = 172 + -198. Let q(w) = o*n(w) + 6*v(w). What is g in q(g) = 0?
-5, 0
Let b = -532 + 190. Let w = 347 + b. What is l in 4/3*l**3 + 6*l**4 + 0 + 4/3*l - 6*l**2 - 8/3*l**w = 0?
-1, 0, 1/4, 1, 2
Let k = -97509/5 + 195033/10. Suppose 0 + 3/2*r**4 - k*r**2 - 15/2*r**3 + 15/2*r = 0. What is r?
-1, 0, 1, 5
Let d(s) be the second derivative of -s**4/6 + 1772*s**3/3 - 784996*s**2 - 5299*s. Factor d(k).
-2*(k - 886)**2
Let h(s) be the second derivative of -s**6/30 + 8*s**5/15 - 107*s**4/36 + 59*s**3/9 - 20*s**2/3 - 819*s. What is q in h(q) = 0?
2/3, 1, 4, 5
Let p(u) = u**5 + u + 3. Let z(i) = 12*i**5 + 16*i**4 + 93*i**3 + 242*i**2 + 295*i + 153. Let s(t) = 22*p(t) - 2*z(t). Determine m, given that s(m) = 0.
-6, -5, -2, -1
Let v = -4/12813 - -854204/12813. Find n such that -1/3*n**5 + 23/3*n**3 - 38/3*n**2 - v + 4/3*n**4 - 220/3*n = 0.
-2, 5
Factor -94/3*o**2 - 2/3*o**3 - 1232/3*o - 968.
-2*(o + 3)*(o + 22)**2/3
Let l = 289547/5 + -57659. Let f = 251 - l. Find q, given that -1/5*q**5 - 2/5*q**3 + 3/5*q**4 + f*q - 2/5*q**2 - 1/5 = 0.
-1, 1
Suppose -1/2*v**3 - 19/4*v**2 + 189/4 + 3*v = 0. What is v?
-9, -7/2, 3
Factor -46196/3*u**3 - 2/9*u**5 + 302/3*u**4 + 6615898 - 13631414/3*u + 7423180/9*u**2.
-2*(u - 149)**3*(u - 3)**2/9
Let y(q) = -4*q**5 - 2*q**4 + 125*q**3 - 123*q**2 - 252*q. Let i(o) = -12*o**5 - 8*o**4 + 376*o**3 - 368*o**2 - 756*o. Let p(a) = -3*i(a) + 8*y(a). Factor p(n).
4*n*(n - 3)**2*(n + 1)*(n + 7)
Let q = -65 - -76. Let l(x) = -31*x**2 - x. Let t(y) = 17*y**2. Let f(i) = q*t(i) + 6*l(i). Factor f(h).
h*(h - 6)
Let x = -8962 + 44958/5. Let q = x + -1914/65. Find r, given that 0 - 6/13*r + q*r**4 - 10/13*r**3 + 14/13*r**2 = 0.
0, 1, 3
Let w(d) = -d**3 - 23*d**2 - 32*d + 8. Let z(n) = 2*n**3 + 21*n**2 + 34*n - 12. Let b(k) = -3*w(k) - 2*z(k). Factor b(i).
-i*(i - 28)*(i + 1)
Suppose 0 = 2*q - 4*o - 52, -5*o = -4*q - q + 110. Let c be 1/((-3)/q) - -8. Factor 3/4*j**2 + 5/4 - c*j.
(j - 1)*(3*j - 5)/4
Let z(h) be the second derivative of 2 - 2*h**3 + 0*h**2 - 1/5*h**5 + 14*h - 7/6*h**4. Solve z(g) = 0.
-2, -3/2, 0
Let v(n) be the second derivative of -n**6/135 - 29*n**5/90 - 25*n**4/9 + 1088*n**3/27 + 2560*n**2/9 - 26*n - 29. Find s such that v(s) = 0.
-16, -2, 5
Let n(p) be the third derivative of 0*p + 1/210*p**7 + 1/3*p**4 + 0*p**3 - 1 + 1/120*p**6 - 51*p**2 - 1/6*p**5. Solve n(b) = 0 for b.
-4, 0, 1, 2
Suppose -4 - 8 = -4*u - 2*c, 0 = -2*u - 4*c + 12. Let h = -1426543 + 2853087/2. Factor -1/6 + h*l + 1/6*l**3 - 1/2*l**u.
(l - 1)**3/6
Let q be 48/60*(-1 - 21/(-6)). Suppose 3*v**4 + 1284*v + 12*v**3 - 8*v**2 - 1266*v + 10*v**q - 35*v**2 = 0. What is v?
-6, 0, 1
Determine j so that -4/9*j**4 + 6256/9*j - 5780/9 - 40*j**2 - 112/9*j**3 = 0.
-17, 1, 5
Let p = 211666 - 1904962/9. Determine w so that -8/3*w**2 - p + 20/3*w - 4/9*w**3 = 0.
-8, 1
Let q(d) be the second derivative of d**4/4 - d**3 + 2*d**2 - 73*d. Let s(k) = -7*k**2 + 12*k - 10. Let z(o) = 5*q(o) + 2*s(o). Factor z(j).
j*(j - 6)
Let u(w) be the second derivative of w**4/30 - 44*w**3/15 - 121*w**2 + 55*w + 18. Let u(p) = 0. Calculate p.
-11, 55
Let p be 22/12 - -2 - (13 + 237/(-18)). Let q(u) be the first derivative of 2/3*u + 3 + 4/9*u**3 - 1/12*u**p - 5/6*u**2. Factor q(n).
-(n - 2)*(n - 1)**2/3
Let i be ((-105)/(-140))/(-6*(-1)/16). Let g(j) be the second derivative of -1/15*j**3 + 1/5*j**i + 14*j + 1/50*j**5 + 0 - 1/30*j**4. Factor g(m).
2*(m - 1)**2*(m + 1)/5
Let v(b) be the first derivative of -9*b**4/28 + 8*b**3/3 - 57*b**2/14 + 10*b/7 + 1407. Factor v(l).
-(l - 5)*(l - 1)*(9*l - 2)/7
Let f(a) = -10*a**3 - 236*a**2 - 1486*a - 1132. Let w(h) = 3*h**3 + 81*h**2 + 495*h + 377. Let r(z) = -5*f(z) - 16*w(z). Factor r(j).
2*(j - 62)*(j + 1)*(j + 3)
Let u = 324 - 297. Suppose u*d + 12 = 33*d. Let -1/2*g**2 + 5/2*g - d = 0. Calculate g.
1, 4
Suppose 0*g = 4*g + 188. Let x = g - -49. Let 4*h**4 - 6*h**4 - 3*h + 4*h**2 - x*h**4 - h + 4*h**3 = 0. What is h?
-1, 0, 1
Let l(f) be the first derivative of f**6/15 - 6*f**5/5 - 17*f**4/10 + 2*f**3 + 16*f**2/5 - 3230. Find z, given that l(z) = 0.
-1, 0, 1, 16
Let f(h) be the third derivative of -h**5/40 - 1255*h**4/16 - 627*h**3/2 - 14*h**2 + 56*h. Solve f(i) = 0.
-1254, -1
Let d be (-1116180)/(-650) - (-1)/5. Let c = -1717 + d. Solve -2/5*w**3 - 4/5*w**2 - c*w + 0 = 0 for w.
-1, 0
Suppose -224*p + 138 = -314 - 220. Let n(u) be the first derivative of 0*u + 2/7*u**4 + 8/21*u**p + 2 + 2/21*u**6 - 2/5*u**5 + 0*u**2. Factor n(t).
2*t**2*(t - 2)**2*(2*t + 1)/7
Let t be 8*(31/(-279))/((-8)/(-108)*-15). Suppose t - 2/5*p**2 - 2/5*p = 0. What is p?
-2, 1
Let -66*y**2 - 64*y**2 + 193*y**2 - 3230*y - 58*y**2 = 0. What is y?
0, 646
Let b(k) = 50*k**2 - 139*k - 69. Let d(q) be the second derivative of -25/12*q**4 + 23/2*q**3 + 17*q + 0 + 17*q**2. Let v(y) = 4*b(y) + 9*d(y). Factor v(s).
-5*(s - 3)*(5*s + 2)
Let u(l) be the third derivative of l**5/480 - 1193*l**4/192 - 199*l**3/8 - 284*l**2 - 2*l. Suppose u(n) = 0. Calculate n.
-1, 1194
Let h = -143 - -63. Let c = -80 - h. Factor 20*d**2 + c*d**2 - 16 + 0*d + 7*d - 4*d**4 + 5*d - 12*d**3.
-4*(d - 1)**2*(d + 1)*(d + 4)
Let y(n) be the third derivative of n**2 - 1/60*n**5 + 0 + 0*n**4 - 2*n + 0*n**3. Find r, given that y(r) = 0.
0
Let p(t) be the first derivative of -2*t + 5 + 10