y.
24*y**2
Let g(u) = 3*u**4 - 3*u**3 - 55*u - 5. Let t(a) = -2*a**4 + 2*a**3 + 54*a + 4. Let d(w) = -4*g(w) - 5*t(w). Find the second derivative of d(y) wrt y.
-24*y**2 + 12*y
Let m be ((-15)/(-10))/((-6)/(-8)). Find the third derivative of 10*p**4 + m*p**4 + p**2 - 18*p**4 + p**2 wrt p.
-144*p
Let k(b) be the second derivative of -3*b + 0*b**5 + 0*b**2 + 1/30*b**6 + 0 + 0*b**3 - 1/12*b**4. Find the third derivative of k(m) wrt m.
24*m
Let t(j) be the second derivative of j**7/420 - j**4/12 + j**3/6 + 3*j. Let c(x) be the second derivative of t(x). What is the first derivative of c(v) wrt v?
6*v**2
Let l(r) = -r**3 + 2*r**2 + 2*r + 2. Let f be l(3). Let c(k) = -k + 1. Let i(p) = -2*p - 3. Let x(s) = f*i(s) + 4*c(s). Differentiate x(n) wrt n.
-2
Let t(q) = 2*q**3 + 11*q**2 - 6. Let h(c) = 2*c**3 + 11*c**2 - 5. Let s(m) = -6*h(m) + 5*t(m). What is the third derivative of s(k) wrt k?
-12
Let d(t) = -t**4 + t**3. Let n(k) = -5*k**4 + 4*k**3 - 36. Let w(l) = 4*d(l) - n(l). Find the first derivative of w(u) wrt u.
4*u**3
Let k be (6/(-5))/((-12)/30). Let h(o) = 11*o - 4. Let d(i) = 4*i - 1. Let c(m) = k*h(m) - 8*d(m). Find the first derivative of c(v) wrt v.
1
Suppose -3*v - 6 = -6*v. Differentiate 4 - 2*s**4 + 18*s**v - 18*s**2 - s**4 with respect to s.
-12*s**3
Let a(z) = -24*z. Let x be a(-1). Suppose b = -4*b - 2*u, 2*b - 4*u = x. Differentiate 2*f**3 - 2 + b*f**3 - 2*f**3 with respect to f.
6*f**2
Let u(g) = 2*g**3 + 21*g**2 - 14*g - 2. Let o(a) = -4*a**3 - 41*a**2 + 29*a + 4. Let t(i) = -6*o(i) - 11*u(i). Find the second derivative of t(h) wrt h.
12*h + 30
Let j(n) be the second derivative of n**6/15 - 3*n**2/2 + 4*n. Differentiate j(w) with respect to w.
8*w**3
Let p = 4 - 2. Suppose t - p*j - j - 14 = 0, t = -2*j - 1. What is the second derivative of -4*a**5 + a + 7*a**t - 4*a wrt a?
60*a**3
Let m be (1 + 0/(-2))*1. Suppose 4*g + 17 = -3, 2*l + m = -3*g. Find the third derivative of x**3 - 2*x**2 - l + 7 wrt x.
6
Suppose -5*h + 2*u = -7, -h + 5*h - 2*u - 4 = 0. Let q = -5 + 8. What is the derivative of q*i**4 - 3 + h - 3 wrt i?
12*i**3
Let l = 2/21 + 17/42. Let h(y) be the first derivative of 0*y - l*y**4 + 2 + y**2 + 0*y**3. What is the second derivative of h(v) wrt v?
-12*v
Let a(h) = -49*h**4 + 7*h**2 + 7*h + 81. Let v(m) = -16*m**4 + 2*m**2 + 2*m + 27. Let s(o) = -2*a(o) + 7*v(o). What is the derivative of s(x) wrt x?
-56*x**3
Let j(w) = 21*w**5 + 6*w**3 - 6*w**2 - 6*w. Let c(i) = 22*i**5 + 7*i**3 - 6*i**2 - 7*i. Let n(b) = 6*c(b) - 7*j(b). Find the third derivative of n(m) wrt m.
-900*m**2
Let c(p) be the second derivative of -1/3*p**3 + 0 - 1/12*p**4 + 0*p**2 + 4*p. Find the second derivative of c(v) wrt v.
-2
Suppose 2*w + 2 = 2*n, 5*w + 4*n - 7 = 3*n. Differentiate -w + 4*d**2 - 2*d**2 - 8*d**2 + 2*d**2 wrt d.
-8*d
Let n(i) be the second derivative of i**3 + 4*i**2 - 9*i. Differentiate n(q) wrt q.
6
Let l(q) be the first derivative of 15*q**6/2 - 16*q**3/3 - 10. Find the third derivative of l(c) wrt c.
2700*c**2
Let g(y) be the first derivative of 5*y**6/6 + 4*y**3/3 - 4. What is the third derivative of g(p) wrt p?
300*p**2
Let z(r) = 30*r - 46. Let a(t) = 2*t - 1. Let y(b) = 5*a(b) - z(b). Differentiate y(k) with respect to k.
-20
Let x(y) be the first derivative of y**6/120 + y**5/60 - 5*y**3/3 + 3. Let l(b) be the third derivative of x(b). Find the second derivative of l(z) wrt z.
6
Suppose 3*j - 12 = 6. Suppose a + k - 1 = j*a, a + 1 = k. Find the third derivative of -2*i**2 + a*i**3 + 3*i**3 - 5*i**3 wrt i.
-12
Suppose -2*z - 3 = -7. Find the second derivative of -3*o - 3*o**z + o + o + 0*o**2 wrt o.
-6
Let n(x) = -3*x**5 + 7*x**4 - 7*x**2 + 17*x. Let u(r) = -r**5 + 2*r**4 - 2*r**2 + 6*r. Let p(o) = -2*n(o) + 7*u(o). Find the second derivative of p(b) wrt b.
-20*b**3
Suppose 4*s - 4 = 12. Suppose -5*z + 10 = -5. What is the third derivative of -1 - z - 4*t**3 + s + 2*t**2 wrt t?
-24
Find the second derivative of 18*m + 15*m**3 - 11*m**3 - 4*m**3 + 6*m**5 wrt m.
120*m**3
Let y = 2 + 0. What is the third derivative of -u**6 - u**6 - u**y + 3*u**6 wrt u?
120*u**3
Let o = -5 + 9. What is the first derivative of -o*t + 3*t**3 + 4*t + 1 wrt t?
9*t**2
What is the second derivative of 266*y**3 - 267*y**3 + 10*y + 8*y wrt y?
-6*y
Let x(s) = 10*s**3 + 2*s**2 + 2*s - 5. Let j(b) = 9*b**3 + 3*b**2 + 3*b - 5. Let o(g) = 2*j(g) - 3*x(g). Differentiate o(q) wrt q.
-36*q**2
Let c = -7 - -11. Suppose 7 = 5*k + c*b - b, -2*b = k. Find the second derivative of -3*n**2 - k*n**2 + n + 2*n**2 - 2*n wrt n.
-6
Suppose -13*k + 6 = -10*k. What is the third derivative of 2*s**2 - 9*s**5 + 4*s**2 - k*s**2 wrt s?
-540*s**2
Let l(p) = -20*p**3 + 3*p. Let r(f) = -10*f**3 + f. Let z(q) = -6*l(q) + 11*r(q). What is the second derivative of z(v) wrt v?
60*v
Suppose 2*d = -0*d - 44. Let t be (-2)/(-8) + d/(-8). Find the first derivative of -1 + 5*q**3 - q**3 - 2*q**t wrt q.
6*q**2
What is the second derivative of -4*k**3 + 16*k**3 + 2*k + 8*k wrt k?
72*k
Let a(d) be the first derivative of d**10/2520 + d**6/360 - 2*d**3/3 - 1. Let h(g) be the third derivative of a(g). Find the third derivative of h(v) wrt v.
240*v**3
Let l(g) be the third derivative of g**8/2240 + g**6/360 + g**4/6 - g**2. Let i(y) be the second derivative of l(y). Find the second derivative of i(m) wrt m.
18*m
Let n(z) be the second derivative of -3*z**5/20 + z**2/2 + 6*z. Differentiate n(d) wrt d.
-9*d**2
Let q(a) be the first derivative of a**9/504 - 3*a**5/20 - 7*a**2/2 - 6. Let g(t) be the second derivative of q(t). Find the third derivative of g(d) wrt d.
120*d**3
Let f(i) be the first derivative of 0*i**5 + 0*i**4 + i**3 + 2/3*i**6 + 5 + 0*i + 0*i**2. What is the third derivative of f(c) wrt c?
240*c**2
Find the first derivative of -589*p**2 - 5*p**4 + 0*p**4 + 5 + 589*p**2 wrt p.
-20*p**3
Let h(b) = 9*b**2 - 8*b. Let u = 27 - 26. Let c(g) = g**2 - g. Let l(n) = u*h(n) - 3*c(n). What is the second derivative of l(a) wrt a?
12
Let v(o) be the first derivative of o**7/280 - o**4/8 - o**3 - 1. Let x(n) be the third derivative of v(n). Differentiate x(c) with respect to c.
9*c**2
Let c(q) = -3*q**3 - 2*q**2 - 2*q - 21. Let i(o) = 5*o**3 + 5*o**2 + 5*o + 43. Let u(m) = -5*c(m) - 2*i(m). Find the first derivative of u(w) wrt w.
15*w**2
Let n(j) be the second derivative of 5*j**9/504 - j**5/20 + 3*j**2/2 - 4*j. Let l(q) be the first derivative of n(q). Find the third derivative of l(w) wrt w.
600*w**3
Let k(o) be the second derivative of 0*o**3 - 1/2*o**4 + 0 + 2*o - o**2. Differentiate k(m) wrt m.
-12*m
Let s(v) = v + 1. Let g(x) = -4*x - 3. Let d(u) = u**2 + 6*u + 6. Let k be d(-5). Let c(r) = k*g(r) + 2*s(r). Differentiate c(j) wrt j.
-2
Let q(d) be the second derivative of 5*d**9/3024 + d**6/360 - d**3 + d. Let p(c) be the second derivative of q(c). What is the third derivative of p(m) wrt m?
300*m**2
Let o(b) = b**2 + 2*b - 7. Let f = -28 - -20. Let j be o(f). Find the second derivative of -41*w**3 + 2*w**5 + j*w**3 + 4*w wrt w.
40*w**3
Find the second derivative of 18*h + h - 30*h**3 + 19*h**3 - 13*h**3 wrt h.
-144*h
Let p(o) = -4*o**4 - o**2. Let v(l) = 5*l**4. Let t(h) = 6*p(h) + 5*v(h). Find the third derivative of t(b) wrt b.
24*b
Let q(m) be the second derivative of m**7/6 + 5*m**4/12 - 8*m. What is the third derivative of q(i) wrt i?
420*i**2
Differentiate -o**3 - 5 - 5*o**3 - 6*o**3 wrt o.
-36*o**2
What is the derivative of -1 + 1 + 5 + 3*y**3 wrt y?
9*y**2
Let h = -13 - -19. What is the second derivative of h*c - 9*c + 8*c + 5*c**2 wrt c?
10
Suppose -4*b = -0 - 12. Let l(i) be the first derivative of -1/3*i**b - 1 + 0*i**2 - 2*i. What is the first derivative of l(w) wrt w?
-2*w
Let z(l) be the third derivative of l**7/15 - l**4/24 + 10*l**2. What is the second derivative of z(x) wrt x?
168*x**2
Suppose -4*n - 1 = -13. Find the first derivative of 6*v**n + 6*v**4 - 5 - 6*v**3 wrt v.
24*v**3
Suppose 0 = -2*b, 5*q + b + b - 15 = 0. Find the second derivative of -3*a**5 + 3*a**5 + 6*a + q*a**5 + 0*a**5 wrt a.
60*a**3
Suppose 0*h - 1 = h. Let a = 6 + h. What is the third derivative of -n**2 + n**a + 0*n**2 + 0*n**5 wrt n?
60*n**2
Let g(v) = 9*v**4 + 4*v**3 + 8*v. Let q(c) = -8*c**4 - 3*c**3 - 8*c. Let i(j) = -3*g(j) - 4*q(j). What is the second derivative of i(w) wrt w?
60*w**2
Let