 Let p(r) be the third derivative of 0 + 2187/70*r**7 + 0*r + 8/3*r**y - 4*r**2 + 162/5*r**5 - 12*r**4 - 243/5*r**6. Factor p(s).
(9*s - 2)**4
Let p be -6 + -7 + (-524)/(-40). Let u(s) be the second derivative of 0*s**2 + 1/63*s**7 - p*s**5 + 8*s + 0 - 2/45*s**6 + 2/9*s**4 + 4/9*s**3. Factor u(w).
2*w*(w - 2)**2*(w + 1)**2/3
Let t be (-35)/(-7) - (-2)/(-1). Let c(v) = v + 12. Let m be c(-9). Determine l so that -m*l**3 + 4*l**2 - t*l + l**3 + 2*l - l = 0.
0, 1
Let n be ((-15)/(-10))/3*-2. Let x(b) = 3*b**2 + 17*b - 19. Let i(r) = -r**2 + r - 1. Let q(m) = n*i(m) - x(m). Let q(g) = 0. What is g?
-10, 1
Solve 0*t - 4/7*t**2 + 4/7 = 0 for t.
-1, 1
Factor -5/2*u**3 - 5 - 25/2*u - 10*u**2.
-5*(u + 1)**2*(u + 2)/2
Let a(n) be the third derivative of n**6/360 + n**5/20 + n**4/12 - 8*n**3/9 + 3*n**2 + 38*n. Let a(s) = 0. Calculate s.
-8, -2, 1
Find r, given that -44/3 - 2/3*r**3 - 40/3*r**2 + 86/3*r = 0.
-22, 1
Factor -16/17 - 2/17*m**2 + 18/17*m.
-2*(m - 8)*(m - 1)/17
Let c(d) = 6*d**2 + 30*d + 28. Let v(y) = 14*y**2 + 60*y + 56. Let w(z) = 5*c(z) - 2*v(z). Factor w(b).
2*(b + 1)*(b + 14)
Determine i, given that 2/9*i**2 - 22/9*i + 0 = 0.
0, 11
Let w(j) be the second derivative of 5*j**8/48 - j**7/21 - 7*j**6/24 + j**5/6 - 17*j**2 - 52*j. Let a(c) be the first derivative of w(c). Solve a(g) = 0.
-1, 0, 2/7, 1
Let n(k) be the second derivative of k**6/180 - 19*k**5/24 - 680*k. Let n(b) = 0. Calculate b.
0, 95
Let o(f) be the second derivative of f**9/504 - f**8/168 + f**7/210 + 13*f**3/6 + 34*f. Let x(m) be the second derivative of o(m). Factor x(u).
2*u**3*(u - 1)*(3*u - 2)
Suppose -2*r = 4*p - 10, -3*p = r - 5*p - 1. Suppose -i = -4*i + 6. Factor 6*n**3 + n**5 - r*n**4 - 3*n**3 - 9*n**i + 8*n**2 + 0*n**5.
n**2*(n - 1)**3
Let m(t) = -t**3 + 8*t**2 - 8*t. Let u be m(6). Suppose -40 = -w - 18. Factor 2*n**4 + u + 4*n**5 + 2*n - w - 4*n**2 - 2*n**5 - 4*n**3.
2*(n - 1)**2*(n + 1)**3
Let i(t) = -5*t**2 + 4*t**2 + 15*t**2 - t**3 + 5*t**2. Let b be i(19). Factor -2/3*h - 2/3*h**3 + b - 4/3*h**2.
-2*h*(h + 1)**2/3
Suppose 27*k - 72 = 15*k. Let f(d) be the first derivative of k + 10*d + 2/15*d**3 - 2*d**2. Factor f(o).
2*(o - 5)**2/5
Let j be (-38)/(-18) - ((-6)/8)/((-2457)/364). Factor -8/9*c + 10/9 - 2/9*c**j.
-2*(c - 1)*(c + 5)/9
Let s(i) be the second derivative of 5*i**4/12 + 75*i**3 + 10125*i**2/2 - 21*i + 2. Factor s(q).
5*(q + 45)**2
Factor 1/4*a**2 - 9 - 4*a.
(a - 18)*(a + 2)/4
Suppose 8/13 + 2/13*a**2 + 8/13*a = 0. Calculate a.
-2
Suppose 3 = -2*x - 2*j + 7, 2*x = 5*j - 10. Let 0 - 3/5*k**3 + x*k + 3/5*k**4 - 6/5*k**2 = 0. What is k?
-1, 0, 2
Solve -14/15*h**2 - 2*h - 2/15*h**3 - 6/5 = 0.
-3, -1
Let u(t) = 24*t**3 + 51*t**2 - 9*t + 18. Let w(o) = o**3 + 2*o**2 + 1. Let p(c) = u(c) - 18*w(c). Factor p(g).
3*g*(g + 3)*(2*g - 1)
Let h(p) = p + 6 - 8 - 4*p. Let z be h(-5). What is f in -4*f**4 + 6*f**5 - 2*f**3 - z*f**5 + 5*f**5 = 0?
-1, 0
Solve c**2 - 3/5 - 14/5*c = 0.
-1/5, 3
Let w = -1864/195 - -126/13. Let k(v) be the first derivative of 0*v + w*v**3 - 1 + 0*v**2 + 1/10*v**4. Let k(i) = 0. What is i?
-1, 0
Let a = 2955 + -2953. Determine j so that -1/2*j**a + 4*j - 8 = 0.
4
Suppose 0*s + 2*s - 6 = 0. Let r = s + -1. Find d such that 4*d**r - 12*d**2 - 4*d + 0 + 4*d**3 - 4 + 12 = 0.
-1, 1, 2
Suppose -4 = 3*g + 3*n - 19, -4*n + 12 = 0. Suppose t = -t - q + 5, -5*t - g*q + 15 = 0. Factor 9/5*j**4 + 3/5*j**t - 9/5*j - 6/5*j**2 - 3/5 + 6/5*j**3.
3*(j - 1)*(j + 1)**4/5
Let t be 2/6*6 - 2*-1. Factor 8*z**3 - 6*z + 8*z**2 - t*z - 20*z**4 + 12*z**2 + 2*z.
-4*z*(z - 1)*(z + 1)*(5*z - 2)
Determine b, given that -390224/5 - 348/5*b**2 - 20184/5*b - 2/5*b**3 = 0.
-58
Let r(t) be the third derivative of 1/8*t**4 + 2*t**3 + 29*t**2 + 0*t - 1/40*t**5 + 0. Factor r(p).
-3*(p - 4)*(p + 2)/2
Let z = 2 - -7. Suppose -5*j = -w - z, 3*j = -3*w + 2*w + 7. What is k in -9*k**j + 3 - 5*k + k - 2*k = 0?
-1, 1/3
Let q be (-52)/637*1*-7. Factor -q - 12/7*h**2 - 2*h.
-2*(2*h + 1)*(3*h + 2)/7
Let d(v) be the second derivative of -v**6/15 - 61*v**5/10 - 437*v**4/2 - 11191*v**3/3 - 27436*v**2 + v - 24. Suppose d(z) = 0. Calculate z.
-19, -4
Let h be 232/1368 - (-2)/38. Let x(g) be the second derivative of h*g**3 - 1/45*g**6 + 6*g + 0*g**2 + 1/6*g**4 + 0 + 0*g**5. Solve x(s) = 0 for s.
-1, 0, 2
Let x(l) = -l**3 + 14*l**2 + l - 12. Let q be x(14). Suppose 2*j = -w + j + q, j = -4*w + 8. Suppose 2/3*b**w - 2/3 + 0*b = 0. What is b?
-1, 1
Let f(s) be the second derivative of s**8/16800 - s**7/2100 + s**6/600 - s**5/300 + 13*s**4/12 + 10*s. Let x(h) be the third derivative of f(h). Factor x(o).
2*(o - 1)**3/5
Let j(l) be the third derivative of l**7/945 - l**6/60 + 7*l**5/90 - 19*l**4/108 + 2*l**3/9 - 177*l**2. Factor j(h).
2*(h - 6)*(h - 1)**3/9
Let g(t) be the second derivative of -1/24*t**4 - 1/2*t**2 + 5*t + 7/24*t**3 - 1/80*t**5 + 0. Determine z, given that g(z) = 0.
-4, 1
Suppose -3*s + 8 = 32. Let c be (8/(-6))/((-3)/((-36)/s)). Factor 0*f + 2/11*f**c + 0.
2*f**2/11
Let q(l) be the second derivative of -l**10/26460 - l**9/6615 - l**8/4704 - l**7/8820 + 13*l**4/12 + 6*l. Let r(x) be the third derivative of q(x). Factor r(v).
-2*v**2*(v + 1)*(2*v + 1)**2/7
Suppose 112/13 - 62/13*g**3 + 276/13*g + 2/13*g**5 + 158/13*g**2 - 54/13*g**4 = 0. Calculate g.
-1, 2, 28
Let z be 695/21 + (-10)/105. Let t = 33 - z. Let t*r - 2/5 + 2/5*r**2 = 0. Calculate r.
-1, 1
Let d(j) be the first derivative of j**5/3 + 7*j**4/6 + 4*j**3/3 + 12*j**2 - 16. Let t(l) be the second derivative of d(l). Find z, given that t(z) = 0.
-1, -2/5
Factor 4 + 22/3*i + 2/3*i**3 + 4*i**2.
2*(i + 1)*(i + 2)*(i + 3)/3
Let g(u) be the first derivative of 2/3*u**2 + 0*u - 2 + 2/9*u**3. Factor g(n).
2*n*(n + 2)/3
Let f(t) be the first derivative of t**6/6 + 3*t**5/5 + 3*t**4/4 + t**3/3 + 58. Factor f(y).
y**2*(y + 1)**3
Suppose -4*l + 5 = -3*c, 4*l = 3*c + 2*c - 5. Factor 7*n**3 - 4*n**2 - 3*n**3 - 2*n**5 + 4*n**4 - 2*n**c.
-4*n**2*(n - 1)**2*(n + 1)
Let d(z) be the first derivative of -z**5/30 - 3*z**4/8 - 5*z**3/3 - 11*z**2/3 - 4*z - 147. Solve d(l) = 0 for l.
-3, -2
Let d(i) be the first derivative of 2*i**3/3 - 2*i**2 + 2*i - 207. Let d(c) = 0. Calculate c.
1
Let m(u) be the first derivative of u**6/660 - 3*u**5/55 + 9*u**4/11 + u**3 + 4. Let x(i) be the third derivative of m(i). Factor x(n).
6*(n - 6)**2/11
Let t(g) be the third derivative of -g**8/4032 - 13*g**5/20 - 12*g**2. Let z(c) be the third derivative of t(c). Determine n, given that z(n) = 0.
0
Suppose 0 = -4*m - w + 4*w + 232, -5*m = -3*w - 293. Factor 4*l**2 - 2*l**3 - 35*l**4 + m*l**4 - 30*l**4 + 2*l**5.
2*l**2*(l - 2)*(l - 1)*(l + 1)
Let c(s) be the second derivative of 0*s**2 + 0 - 15*s + 0*s**3 + 1/84*s**4. Let c(l) = 0. Calculate l.
0
Let s be ((-405)/(-205) - 2)*1. Let i = s - -85/123. What is u in 0 + 0*u - 4/9*u**3 + i*u**5 + 0*u**2 + 2/9*u**4 = 0?
-1, 0, 2/3
Let b(n) be the third derivative of 0*n + 1/140*n**5 + 0*n**3 - 5*n**2 + 0*n**4 - 1/140*n**6 + 1/490*n**7 + 0. Factor b(i).
3*i**2*(i - 1)**2/7
Let x(r) be the third derivative of r**8/30240 + r**7/3780 - r**6/360 - 2*r**5/5 - 19*r**2. Let t(c) be the third derivative of x(c). Let t(u) = 0. What is u?
-3, 1
Let h(i) = -5*i**4 - 15*i**3 + 5*i**2 + 25*i + 10. Let r(w) = w**4 - w**2 - w - 1. Let l(c) = h(c) + 10*r(c). Suppose l(v) = 0. What is v?
-1, 0, 1, 3
Let o = 24917 - 173409/7. Let r = o + -144. Factor r*v**4 + 0*v + 4/7*v**2 + 6/7*v**3 + 0.
2*v**2*(v + 1)*(v + 2)/7
Determine y, given that 24*y + 9*y**2 - 24*y**3 + y**4 + 2*y**4 - 5 - 39*y**2 + 32 = 0.
-1, 1, 9
Let g(h) be the first derivative of 0*h**2 + 1/6*h**6 + 6/5*h**5 + 9/4*h**4 + 19 + 0*h + 0*h**3. Determine r so that g(r) = 0.
-3, 0
Suppose -3*i + 12 = 3*i. Find u, given that -3*u**i + 2 + 5*u**2 + 2 - 3*u**2 = 0.
-2, 2
Let z(v) be the first derivative of -v**6/27 + 2*v**5/9 + 7*v**4/18 - 10*v**3/27 - 2*v**2/3 - 122. Let z(q) = 0. Calculate q.
-1, 0, 1, 6
Let v(j) be the third derivative of 1/24*j**6 + 0*j + 0*j**4 + 0*j**5 + 0*j**3 + 0 + 1/42*j**7 + 11*j**2. Solve v(p) = 0 for p.
-1, 0
Let u be ((-29)/(-2))/(15/(-26)). Let j = -73/3 - u. Factor -j - 2/5*r**2 + 6/5*r.
-2*(r - 2)*(r - 1)/5
Let q(v) be the first derivative of -v**3 + 5 + 0*v + 1/5*v**5 + 0*v**4 - v**2. Factor q(k).
k*(k - 2)*(k + 1)**2
Let h(s) be the first derivat