 4*x**6 + 2*x**2 - 14*x**5 wrt x.
-480*x**3
What is the third derivative of -67*t**2 + 103*t**2 + 3*t**5 + 4*t**5 wrt t?
420*t**2
Let w(m) = -m**2 + 12*m. Let u be w(12). Find the third derivative of -14*n**2 + 13*n**2 + u*n**5 - n**5 wrt n.
-60*n**2
Let u(y) be the third derivative of 0*y**3 - 3*y**2 + 0*y - 1/30*y**5 - 1/70*y**7 + 0 + 0*y**4 + 0*y**6. Find the third derivative of u(n) wrt n.
-72*n
Let t(u) be the second derivative of -u**5/15 - u**4/8 + u**2 - 2*u. Let p(i) be the first derivative of t(i). What is the second derivative of p(r) wrt r?
-8
Let z(r) = -9*r**2 + 8*r + 12. Let u(v) = -19*v**2 + 14*v + 24. Let j(p) = 4*u(p) - 7*z(p). Find the first derivative of j(a) wrt a.
-26*a
What is the second derivative of 2*m**3 + 129*m - 257*m + 127*m + 26*m**2 - 2 wrt m?
12*m + 52
Let q(a) = -11*a**2 - 5*a + 25. Let f(d) = -12*d**2 - 4*d + 24. Let t(h) = -5*f(h) + 4*q(h). What is the derivative of t(g) wrt g?
32*g
Let f(h) = h**2. Let z(i) = 22*i**2 + 6*i. Let j(t) = -3*f(t) + z(t). What is the second derivative of j(m) wrt m?
38
Let p(n) be the second derivative of n**6/5 + 17*n**2/2 - 4*n. Differentiate p(c) wrt c.
24*c**3
Let a = -9 + 4. Let h = a + 8. Find the first derivative of 6 - h*l + 0*l - 5 wrt l.
-3
Let t be (-2 - -8) + (-2 - -2). Let h = t - 3. Let i(o) = o**2. Let q(a) = -a**2 + a. Let g(c) = h*q(c) + 2*i(c). What is the second derivative of g(r) wrt r?
-2
Let b(k) = 6*k**4 - 5*k**3 - 5*k**2. Let a(s) = 7*s**4 - 6*s**3 - 6*s**2 + s. Let d(g) = -5*a(g) + 6*b(g). Find the second derivative of d(n) wrt n.
12*n**2
Let a(m) be the first derivative of 7*m**4/2 + 12*m + 5. Find the first derivative of a(c) wrt c.
42*c**2
Let n(q) = 9*q**3 - 5*q + 2. Let r(k) = 10*k**3 - 4*k + 3. Let d(x) = 3*n(x) - 2*r(x). What is the second derivative of d(h) wrt h?
42*h
Let n = -8 + 12. What is the second derivative of -133*x**n + 6*x + 140*x**4 - x wrt x?
84*x**2
Find the first derivative of -18*s + 16*s + 8 + 43 wrt s.
-2
Let k(t) = -t**2 + t + 1. Let g(u) = -5*u**4 - 15*u**2 + 15. Let c(q) = g(q) - 15*k(q). Find the second derivative of c(x) wrt x.
-60*x**2
Let g(b) = -3 + 1 - 2*b**2 - 1 + 5*b**2 - b**3. Let r(l) = 2*l**2 - 3. Let c(i) = 2*g(i) - 3*r(i). What is the first derivative of c(v) wrt v?
-6*v**2
Let h(w) be the first derivative of -w**7/14 - w**4/6 - 2*w - 3. Let a(r) be the first derivative of h(r). Find the third derivative of a(l) wrt l.
-180*l**2
Let t(d) be the first derivative of -2*d**5/5 - d**2 + 6. What is the second derivative of t(w) wrt w?
-24*w**2
Let d(p) be the second derivative of 0*p**4 - 1/6*p**3 - p - 1/15*p**6 + 0*p**2 + 0 + 0*p**5. What is the second derivative of d(u) wrt u?
-24*u**2
Differentiate -44*v**3 - 23 - v**2 + 25*v**3 + v**2 with respect to v.
-57*v**2
Let v(p) be the third derivative of 0*p + 4*p**2 + 0*p**4 + 0 + 0*p**6 + 1/20*p**5 + 0*p**3 + 1/42*p**7. What is the third derivative of v(t) wrt t?
120*t
Let p(f) be the first derivative of 3*f**4/4 - 13*f**2/2 - 6. What is the second derivative of p(w) wrt w?
18*w
Suppose 7 = 5*z - 13. Suppose -20 = 2*j - 5*h, -z*j - h = -0 - 4. What is the third derivative of 2*r**5 + j*r**2 - 3*r**5 - 2*r**5 - 2*r**2 wrt r?
-180*r**2
What is the third derivative of t**3 - 5*t**3 + 19*t**2 - 3*t**2 - 8*t**2 wrt t?
-24
Let h(j) = 9*j**4 + 6*j**3 - 15*j + 6. Let u(k) = k**3 - k + 1. Let g(q) = -h(q) + 6*u(q). What is the second derivative of g(y) wrt y?
-108*y**2
Let k(n) be the third derivative of n**9/28 + 2*n**5/15 + n**2. Find the third derivative of k(z) wrt z.
2160*z**3
What is the third derivative of -3*i**6 + 2*i**2 - 2*i**6 + 2*i**2 - 5*i**2 wrt i?
-600*i**3
Let z(g) = g**3 - 1 + 5 + 4*g + 1 + 0. Let l(o) = -o**3 - 5*o - 6. Let k(v) = -5*l(v) - 6*z(v). What is the second derivative of k(a) wrt a?
-6*a
Let s(n) = n**3 - 4*n**2 - 5*n + 7. Let p be s(5). Suppose -2*v = -p*v. What is the derivative of -2 + 0*z + z + v*z wrt z?
1
Let b(u) be the second derivative of -u**8/336 + u**4/6 + 3*u**2/2 - 3*u. Let v(o) be the first derivative of b(o). What is the second derivative of v(w) wrt w?
-20*w**3
Let a(c) = 35*c**4 - 17*c**2 - 23*c. Let f(i) = 6*i**4 - 3*i**2 - 4*i. Let r(m) = -6*a(m) + 34*f(m). Find the second derivative of r(n) wrt n.
-72*n**2
Let o(d) be the first derivative of d**7/70 + d**3/6 - 5*d**2/2 - 3. Let w(t) be the second derivative of o(t). Differentiate w(y) with respect to y.
12*y**3
Let y(r) be the first derivative of -7*r**4/24 + r**3/2 + 5*r**2/2 + 1. Let j(n) be the second derivative of y(n). What is the derivative of j(w) wrt w?
-7
Let v(z) = -2*z**4 + 6*z**3 + 3*z - 27. Let m(r) = -r**4 - r**3 - 1. Let i(d) = -6*m(d) - v(d). Find the first derivative of i(b) wrt b.
32*b**3 - 3
Suppose -d + 3 = 0, 5*d - 12 = 2*l + l. What is the first derivative of 5*j**4 - l + 11 - 3 wrt j?
20*j**3
Let g(x) = -25*x**3 + 37*x + 8. Let z(b) = -8*b**3 + 12*b + 3. Let m(p) = 3*g(p) - 8*z(p). Find the second derivative of m(h) wrt h.
-66*h
Suppose d = -4*y + 6, -2*y - 6 = -4*d - 0*d. Suppose 4*a = d*a + 4. Differentiate 3*q**2 - 2 - 4*q**a - q**2 wrt q.
-4*q
Suppose -2*p + 0 = 2*k - 4, -2*k = -3*p + 6. What is the derivative of p + 1 + h**4 - 3*h**4 wrt h?
-8*h**3
Let g(o) = 4*o**4 + 2*o**3 + 2*o + 11. Let m(h) = 5*h**4 + 3*h**3 + 3*h + 11. Let r(b) = 3*g(b) - 2*m(b). Find the first derivative of r(n) wrt n.
8*n**3
Let o(i) be the third derivative of -1/210*i**7 + 0*i**6 - 1/3*i**3 + 0*i**4 + 0*i**5 + 0*i - 2*i**2 + 0. Find the first derivative of o(h) wrt h.
-4*h**3
Let i(x) be the second derivative of 0 + 0*x**2 + 1/12*x**4 + 3*x + 0*x**3 + 1/30*x**6 + 0*x**5. What is the third derivative of i(w) wrt w?
24*w
Let b be (1 - -1)/(1/2). Suppose -25 = -5*z + 5*q, -4*q = -b*z - 2*q + 16. Differentiate -z + 2 - 2 + 3*g**4 with respect to g.
12*g**3
Let z(q) be the first derivative of q**7/21 - q**4/2 - 2*q - 7. Let i(a) be the first derivative of z(a). Find the third derivative of i(h) wrt h.
120*h**2
Let q = 10 - 5. Suppose q*o + 22 = 3*m, -5*o - 2 = 4*m - 2*m. Find the second derivative of -m*y + 5*y + y**5 + 0*y + 2*y**5 wrt y.
60*y**3
Suppose 0 = 10*l - 15*l + 15. Differentiate 38 - 40 + 3*u**l - u**3 + 2*u**3 wrt u.
12*u**2
What is the derivative of -24*g**4 - 6*g**4 - 17 + 2*g**4 wrt g?
-112*g**3
Let o = -3 + 4. Let u(l) = l**3 + l**2 - l + 1. Let k be u(o). Find the third derivative of p**2 + 0*p**k - p**5 + 3*p**5 wrt p.
120*p**2
Let l be -8 - (-4 - -1) - 0. Let j = 5 + l. What is the second derivative of 9*m**4 + 5*m + 0*m**3 + j*m**3 - 5*m**4 wrt m?
48*m**2
Let h = 9 - 4. Let v(j) be the third derivative of -1/3*j**3 + 0*j**4 + j**2 + 1/60*j**h + 0*j + 0. Differentiate v(s) wrt s.
2*s
Let f(l) be the first derivative of -4*l**3/3 - 10*l - 14. What is the first derivative of f(w) wrt w?
-8*w
Suppose 4*p - 11 + 3 = 0. Let i(z) be the first derivative of z + 1/2*z**p - 2. Differentiate i(r) with respect to r.
1
Let c(f) be the first derivative of -f**3 + 0*f**2 + 1/2*f**6 + 0*f**5 + 0*f**4 + 0*f + 3. What is the third derivative of c(w) wrt w?
180*w**2
Let n(m) = -m**2 - 1. Let g(i) = 7*i**4 + i**2 - 5*i + 1. Let u(y) = -g(y) - n(y). What is the second derivative of u(l) wrt l?
-84*l**2
Let a(k) be the third derivative of 11*k**7/210 - k**5/12 + 7*k**2. Find the third derivative of a(d) wrt d.
264*d
Let c(w) = -615*w**4 - 45*w**2 - 550. Let y(d) = 28*d**4 + 2*d**2 + 25. Let i(g) = 2*c(g) + 45*y(g). Differentiate i(h) wrt h.
120*h**3
Let w(p) be the first derivative of -p**4 + 4*p**2 + 9. What is the second derivative of w(y) wrt y?
-24*y
Let s(t) be the third derivative of -t**8/168 - 3*t**5/5 - 40*t**2. What is the third derivative of s(r) wrt r?
-120*r**2
Differentiate -12 + 13*y - 21*y + 12*y wrt y.
4
Let r(n) = 3*n**5 + n**4 + n**3 + n**2 + 4*n + 1. Let g(a) = -a**4 - a**3 - a**2 - a - 1. Let w(q) = -3*g(q) - 3*r(q). Find the second derivative of w(c) wrt c.
-180*c**3
Let r(d) = 6*d**4 + 10. Let u(j) = 7*j**4 + 10. Let y(p) = 6*r(p) - 7*u(p). Differentiate y(m) with respect to m.
-52*m**3
Let j be (-1)/(1 - 6/5). Let k = 22 - 17. What is the third derivative of 4*y**j - 2*y**2 - k*y**5 + 2*y**5 + y**5 wrt y?
120*y**2
Let k(h) = -h**2 + h - 1. Let a(u) = -2*u**5 + 8*u**2 - 18*u + 4. Let l(z) = a(z) + 6*k(z). Find the second derivative of l(b) wrt b.
-40*b*