- 5*a**3 - 14*a**2. Let f(o) = -o**4 + o**3 + o**2. Let x(g) = -5*f(g) - i(g). Find the third derivative of x(h) wrt h.
-96*h
Let g(f) = -7*f + 1. Let q(o) = -18*o. Let p(z) = -7*z. Let l(r) = -12*p(r) + 5*q(r). Let k(c) = 3*g(c) - 4*l(c). What is the first derivative of k(w) wrt w?
3
Let c be ((-7)/2)/((-1)/2). Let d(f) = 4*f**4 - 5*f**2. Let q(v) = 2*v**4 - 2*v**2. Let y(p) = c*q(p) - 3*d(p). Find the third derivative of y(s) wrt s.
48*s
Suppose 0 = -3*b + 8*b. What is the second derivative of 0*k + 2*k - 2*k**3 + b*k wrt k?
-12*k
Find the third derivative of 86*w + 32*w**2 + 84*w - 170*w - 12*w**3 wrt w.
-72
Let r(o) = -7*o**3 - 3*o**2 - 7*o + 3. Let i(g) = 6*g**3 + 2*g**2 + 6*g - 2. Let b(l) = 3*i(l) + 2*r(l). Find the second derivative of b(t) wrt t.
24*t
Let l(a) be the third derivative of 5*a**5/12 - a**4/12 + 65*a**3/6 - 43*a**2. What is the second derivative of l(r) wrt r?
50
Let q(t) be the first derivative of 0*t**2 - 2*t - 1/5*t**5 + 0*t**3 + 0*t**4 + 1. Differentiate q(s) wrt s.
-4*s**3
Let i(d) = -17*d**3 + 9*d**2 - 5*d + 5. Let w(u) = -9*u**3 + 4*u**2 - 3*u + 3. Let n(g) = -3*i(g) + 5*w(g). Find the third derivative of n(m) wrt m.
36
Let i(y) = y**3 + 12*y**2 - 2*y - 4. Let v be i(-12). Suppose -8*d = -3*d - v. What is the derivative of -2*g - d + 8 + 6*g wrt g?
4
Let d be 2 - (-3 - (3 - 4)). Find the third derivative of 0*l**2 - l**4 + l**d - 4*l**2 + l**4 wrt l.
24*l
Let q(d) = 32*d - 42. Let f(r) = 32*r - 41. Let h(g) = 5*f(g) - 4*q(g). Differentiate h(b) with respect to b.
32
Let w(i) be the first derivative of i**4/4 + i**3/3 + i**2/2 + i - 6. Let q(r) = 2*r**3 + 3*r**2 + 3*r + 5. Let k(g) = -q(g) + 3*w(g). Differentiate k(l) wrt l.
3*l**2
Let z = 5 + -4. What is the first derivative of z + 1 + 1 - v**3 + 0 wrt v?
-3*v**2
Let m(s) be the second derivative of -7*s**5/20 - s**4/4 + 5*s. Find the third derivative of m(u) wrt u.
-42
Let z(l) be the second derivative of -9*l**7/14 + 13*l**3/6 + 15*l. What is the second derivative of z(y) wrt y?
-540*y**3
Let o(r) = -22*r**4 - 26*r**2 - 2*r - 2. Let k(a) = -a**2 - a - 1. Let p(h) = 2*k(h) - o(h). What is the third derivative of p(x) wrt x?
528*x
Let n(h) be the second derivative of 11*h**6/30 + 5*h**4/6 - 31*h - 1. Find the third derivative of n(s) wrt s.
264*s
Let o(v) = 6*v**2 + 3*v + 7. Let i(g) = -18*g**2 - 8*g - 21. Let w(n) = -3*i(n) - 8*o(n). What is the first derivative of w(a) wrt a?
12*a
Let m(i) be the first derivative of -i**4/2 + i**3/3 - 3. What is the third derivative of m(w) wrt w?
-12
Let f(i) be the second derivative of 0*i**5 + 1/3*i**3 + 1/15*i**6 + 3*i + 0 + 0*i**4 + 0*i**2. Find the second derivative of f(s) wrt s.
24*s**2
Let l(c) = -2*c**4 - 6*c + 17. Let i(p) = 5*p**4 + 13*p - 35. Let q(o) = 6*i(o) + 13*l(o). Differentiate q(a) wrt a.
16*a**3
Let q(k) = -7*k**4 - 7*k**3 - 8*k - 7. Let s(x) = -x**5 - 6*x**4 - 6*x**3 - 8*x - 6. Let v(c) = -6*q(c) + 7*s(c). Find the second derivative of v(d) wrt d.
-140*d**3
Suppose 28*k = 27*k. Let w(r) be the first derivative of -1/3*r**3 + 0*r**2 + 0*r**4 - 3 + 1/5*r**5 + k*r. Find the third derivative of w(b) wrt b.
24*b
Let i(c) = -15*c + 32. Let n(a) = 5*a - 11. Let s(w) = 6*i(w) + 17*n(w). What is the first derivative of s(q) wrt q?
-5
Let p be (4/(-10))/(1/5). Let x = 1 - p. Differentiate x*f**2 + 2 + 0 - 5*f**2 with respect to f.
-4*f
Suppose -5*n = -5*w + 55, -5*n + 12 = -2*w + 43. Suppose -4*t = -4*v + w, -7 = -2*v + 5*t - 3. What is the first derivative of -v - z**3 + 0*z**3 + 0 wrt z?
-3*z**2
Let b(g) = 6*g**3 - g**2 + 2. Let w(o) = 12*o**3 - o**2 + 5. Let d(m) = 5*b(m) - 2*w(m). What is the third derivative of d(j) wrt j?
36
Let r = 21 + -15. What is the third derivative of -5*i**2 - i**6 + 4*i**2 + i**6 + 4*i**r wrt i?
480*i**3
Let g(b) be the third derivative of -b**5/20 + 2*b**4/3 + 2*b**2. Find the second derivative of g(z) wrt z.
-6
Let q be (-4)/(-22) - 124/(-44). Suppose -2*x = q*z - 4*x - 18, x + 3 = 0. Find the third derivative of t + 2*t**z + 0*t - t - 2*t**2 wrt t.
48*t
Let v(b) be the first derivative of -b**5/15 - 2*b**3/3 + 3*b**2/2 - 2. Let d(j) be the second derivative of v(j). What is the first derivative of d(f) wrt f?
-8*f
Let l be (48/(-8))/((-4)/6). Let i = -8 + l. What is the derivative of i - 3 - 1 - 4*b + 7 wrt b?
-4
Let s(f) be the second derivative of -5*f**4/12 - 5*f**2/2 - 5*f. What is the first derivative of s(v) wrt v?
-10*v
Let u(b) = -4*b + 2 - 3*b**2 + 3*b + 4*b**2 - 6. Let t be u(3). What is the third derivative of -p**t + 0*p**2 + 0*p**3 - 2*p**3 wrt p?
-12
Let a(q) be the second derivative of -61*q**8/56 + 9*q**4/4 - q**3/6 - 9*q. Find the third derivative of a(r) wrt r.
-7320*r**3
Let i(p) be the third derivative of -1/120*p**6 - 1/2*p**3 + 0 + 0*p + 0*p**5 + 0*p**4 + 7*p**2. What is the derivative of i(w) wrt w?
-3*w**2
Let v(o) = 4*o**5 - 17*o**2 + 2*o. Let r(y) = y**5 - y**2 + y. Let b(u) = 4*r(u) - 2*v(u). Find the third derivative of b(k) wrt k.
-240*k**2
Let r(k) = -k**3 + 2*k**2 + 5*k - 3. Let y be r(3). What is the third derivative of 0*j**3 - 4*j**3 + j**3 - 2*j**y + 6*j**2 wrt j?
-30
Let w(b) = -b + 1. Let g(c) = 15*c - 36. Let s(y) = g(y) + 4*w(y). Find the first derivative of s(t) wrt t.
11
Let j(p) = 17*p**4 + 7*p**3 + 7*p**2 - 3*p. Let n(g) = -11*g**4 - 5*g**3 - 5*g**2 + 2*g. Let m(f) = -5*j(f) - 7*n(f). Find the second derivative of m(k) wrt k.
-96*k**2
Let n(m) be the first derivative of m**4/3 - m**3/2 - 5*m - 2. Let w(g) be the first derivative of n(g). What is the second derivative of w(o) wrt o?
8
Let o(u) be the second derivative of 0*u**2 + 1/14*u**8 + 0*u**3 + 0*u**7 - 5/12*u**4 + 0*u**5 + 0*u**6 + 0 + 5*u. Find the third derivative of o(x) wrt x.
480*x**3
Let r(n) = -n**2 - 4*n - 1. Let z be r(-3). What is the second derivative of a**2 + 7 + a - 5 - z wrt a?
2
Let g(l) be the first derivative of -7*l**5/5 + 8*l**3/3 - 5. What is the third derivative of g(j) wrt j?
-168*j
Find the first derivative of -5*a**2 + 32*a + 2 + 0 - 32*a wrt a.
-10*a
Let x(v) be the first derivative of -4*v**3 - 11*v**2/2 + 13. What is the second derivative of x(k) wrt k?
-24
Let a(r) = r**2 - 12*r + 2. Let b be a(12). Differentiate 6 + 3*i**2 - 8 + i**b wrt i.
8*i
Suppose 0 = z + 2*z - 3. Let f be 3/2*(1 + z). What is the second derivative of s**f - 2*s - s**3 - 2*s**3 wrt s?
-12*s
Let o(r) = 50*r**3 - 6*r**2 - 39*r - 7. Let a(j) = 50*j**3 - 5*j**2 - 38*j - 6. Let p(g) = -6*a(g) + 5*o(g). Find the second derivative of p(l) wrt l.
-300*l
Let x(j) = 15*j - 1. Let m(o) = -7*o. Let k(b) = 5*m(b) + 2*x(b). Differentiate k(g) with respect to g.
-5
Let w = 15 + -12. Differentiate -w + 6 - 9 + 6*i**3 with respect to i.
18*i**2
Let n(i) be the first derivative of 3*i**4/4 - i**3/3 - 33*i + 41. What is the derivative of n(u) wrt u?
9*u**2 - 2*u
Let h(i) be the first derivative of -2 + 0*i**3 + 0*i**2 + i + 3/4*i**4. Find the first derivative of h(w) wrt w.
9*w**2
Let z(q) be the second derivative of q**6/30 - q**4/3 + 5*q. Find the third derivative of z(t) wrt t.
24*t
Let o(c) = 3*c**2 + 5*c + 17. Let g(p) = -p**2 - 3*p - 9. Let r(z) = -5*g(z) - 3*o(z). Differentiate r(j) wrt j.
-8*j
Let c(a) be the first derivative of -2 + 0*a - 4/3*a**3 - 3/4*a**4 + 0*a**2. Find the third derivative of c(k) wrt k.
-18
Suppose -x = 2*x - 24. What is the first derivative of 26*b - 3 - x*b - 18*b - 9*b**2 wrt b?
-18*b
Suppose -5*q - 30 = -8*q. Differentiate -q*c**4 - 5 + 11*c**4 - c + c with respect to c.
4*c**3
Let h(o) be the second derivative of -2*o**5/5 + o**4/2 - 26*o. Find the third derivative of h(c) wrt c.
-48
What is the derivative of -348*s + 348*s + 9*s**2 - 5 wrt s?
18*s
Let y(s) = 24*s**2 - 5*s + 27. Let u(z) = -13*z**2 + 3*z - 13. Let n(i) = -7*u(i) - 4*y(i). Differentiate n(h) wrt h.
-10*h - 1
Let i(y) = -y**3 + 4*y**2 - y + 3. Let o be i(4). Let j(k) = -6*k**3 - k**2 - k. Let r be j(o). Differentiate r - 2*u + u - 5 with respect to u.
-1
Let a(h) be the first derivative of -h**4/4 + h**3 + h**2/2 - 3*h + 2. Let i be a(3). Find the second derivative of 2*z**5 - z - z**5 + i*z**5 wrt z.
20*z**3
Let b(o) be the second derivative of -11*o**5/20 - 5*o**4/12 + o. What is the third derivative of b(q) wrt q?
-66
What is the third derivative of 32*n**2 + n**5 - 3*n**5 - 9*n**4 - 20*n**2 + 7