 a**n + 6*a**3 + 4 wrt a.
12*a**2
Let o(h) be the third derivative of h**8/1680 - h**4/6 + 2*h**3/3 - h**2. Let c(n) be the first derivative of o(n). What is the derivative of c(a) wrt a?
4*a**3
Let d = -10 - -10. Suppose -2*r + 4 = -4*i - 6*r, d = -4*r - 16. Find the third derivative of -2*v**4 - 4*v**2 + v**4 - i*v**4 wrt v.
-96*v
Find the second derivative of 51*z + 6135 - z**2 - 6135 - 15*z**3 wrt z.
-90*z - 2
Suppose -19 + 19 = -4*o. Let u(t) be the first derivative of -4/5*t**5 + 0*t**2 + 4*t + 0*t**3 + o*t**4 + 4. What is the first derivative of u(a) wrt a?
-16*a**3
Let t(w) = w - 9. Let r be t(12). Differentiate 14*b**3 + 4 - 7*b**r - 12*b**3 wrt b.
-15*b**2
Let y(q) be the third derivative of 5*q**9/504 - 7*q**5/60 + 5*q**2. What is the third derivative of y(m) wrt m?
600*m**3
Let a = 34 + -101/3. Let j(q) be the third derivative of 0*q + 3*q**2 - 1/24*q**4 - a*q**3 + 0. Differentiate j(f) wrt f.
-1
Let r(y) = -36*y**4 - 4*y**3 - 44*y**2 + 4. Let f(a) = -35*a**4 - 3*a**3 - 43*a**2 + 3. Let o(t) = 4*f(t) - 3*r(t). Find the third derivative of o(z) wrt z.
-768*z
Let x(i) be the third derivative of 0*i**3 - 1/20*i**5 + 0*i + 0 + 3*i**2 - 1/12*i**4. What is the second derivative of x(k) wrt k?
-6
Let b = -7 + 10. Let h = b - -2. Find the second derivative of -3*o**5 + 0*o - o + o**5 + h*o**5 wrt o.
60*o**3
Find the second derivative of 8*m**4 - 39*m + 6*m**3 - 10*m**5 - 8*m**4 - 7*m**3 wrt m.
-200*m**3 - 6*m
Let j(v) = -2*v + 3*v - 2*v + 1. Let l be j(-2). Find the first derivative of -l*s**3 - 1 + 3*s**3 + s**3 wrt s.
3*s**2
Find the third derivative of 13*n**6 - 20*n**2 - 32*n**6 + 9*n**6 + 20*n**6 wrt n.
1200*n**3
Let x(d) = 20*d**3 - 12*d**2 - 20*d + 12. Let i(t) = t**2 - 1. Let q(b) = 12*i(b) + x(b). Find the second derivative of q(j) wrt j.
120*j
Let d(u) = -3*u**3 - u**2 + 1. Let y be d(-1). Let v = 2 + y. What is the second derivative of 2*p + 6*p**2 - v*p**2 + 3*p**2 wrt p?
8
Let q(j) = 8*j**4 + 3*j. Let y(v) = -17*v**4 - 7*v. Let c = 1 + 12. Let z(m) = c*q(m) + 6*y(m). Find the second derivative of z(u) wrt u.
24*u**2
Let t(v) be the third derivative of -v**7/210 - v**6/180 + v**3/2 + 3*v**2. Let o(z) be the first derivative of t(z). Find the third derivative of o(p) wrt p.
-24
Let j(y) = 2*y**4 - 3*y**2 - 3*y + 2. Suppose -3*n - 14 = 4. Let a(k) = -14*k**4 + 22*k**2 + 22*k - 14. Let h(w) = n*a(w) - 44*j(w). Differentiate h(f) wrt f.
-16*f**3
What is the second derivative of 16*t**2 - t**2 + 13 - 13 - 12*t wrt t?
30
Find the third derivative of -14*f**4 + 6*f**4 + 5*f**2 + 5*f**4 wrt f.
-72*f
Let r(y) = -3*y**2 - 9 + 4*y**2 - 3*y**2. Let u(j) = -1. Let t(a) = r(a) - 6*u(a). Differentiate t(n) wrt n.
-4*n
Find the second derivative of 9 + 4*a**2 + 2*a + 48*a**2 + 3 - 13 wrt a.
104
Let d(a) = a**2 - 3*a + 2*a - 2*a. Let i(y) = -2*y. Let s(j) = -3*d(j) + 5*i(j). What is the second derivative of s(q) wrt q?
-6
Let p(k) be the second derivative of -k**10/15120 + k**7/504 - k**4/6 + 5*k. Let g(r) be the third derivative of p(r). Find the third derivative of g(i) wrt i.
-120*i**2
Let u(y) be the first derivative of -5*y**6/2 - 9*y**2/2 + 25. What is the second derivative of u(g) wrt g?
-300*g**3
Let t be (6/4 - (-3)/(-2))/(-1). Let u(s) be the second derivative of 3*s + t*s**2 - 1/12*s**4 + 1/3*s**3 + 0. Find the second derivative of u(v) wrt v.
-2
Let a(r) be the third derivative of -r**5/10 + r**4/12 - r**2. Find the second derivative of a(s) wrt s.
-12
Let t be (-2)/(8/6 + -2). Let b = t + 4. Find the first derivative of 1 - 7*s**2 + b*s**2 + 3*s**3 wrt s.
9*s**2
Suppose -3*s + 7*s - 8 = 0. Find the third derivative of 3*h**2 - 6*h**3 - 4*h**s + 6*h**3 - 2*h**4 wrt h.
-48*h
Let b = -10 - -14. Let l(v) be the first derivative of v + 0 - 2 + 2*v**4 - v**b. Differentiate l(s) with respect to s.
12*s**2
Let c = -7 - -10. What is the third derivative of 4*t**2 - 4*t**2 - 2*t**5 + 4*t**2 - c*t**2 wrt t?
-120*t**2
Differentiate -w**2 - w**2 - 2 + 3*w**2 - 2 wrt w.
2*w
Let y(s) = -1 + 14*s - 17*s + 12*s. Let j(x) = x. Let t(q) = -4*j(q) + y(q). What is the derivative of t(b) wrt b?
5
Let y(t) be the second derivative of t**6/5 + 17*t**3/6 + 9*t. Find the second derivative of y(b) wrt b.
72*b**2
Let j(r) be the third derivative of r**6/24 - 19*r**3/6 - 36*r**2. What is the first derivative of j(l) wrt l?
15*l**2
Let m(r) be the first derivative of 0*r**3 + 0*r + 7/2*r**2 - 5/4*r**4 + 7. Find the second derivative of m(v) wrt v.
-30*v
Suppose 2*q - 3 = 1. What is the third derivative of -2*y**6 - 2*y**6 + 0*y**q - y**2 wrt y?
-480*y**3
Let v = -8 + 13. Find the third derivative of 2*p**2 - 3*p**2 - 5*p**v - 4*p**2 wrt p.
-300*p**2
Differentiate -6*r**4 + 7*r**4 - 11*r**4 - 6*r**4 + 14 wrt r.
-64*r**3
Let j(p) be the first derivative of -p**6/30 - p**4/4 + 2*p + 5. Let z(w) be the first derivative of j(w). What is the third derivative of z(q) wrt q?
-24*q
Find the second derivative of 0 - 73*b + 79*b + 0 - b**5 wrt b.
-20*b**3
Let n = 11/17 + -148/255. Let u(w) be the second derivative of 0 + 0*w**5 + 0*w**4 + n*w**6 - 1/2*w**2 - w + 0*w**3. Differentiate u(d) with respect to d.
8*d**3
Let o = -2 + 4. Differentiate -6*b**2 + o*b + 10 - 5 - 2*b wrt b.
-12*b
Let t(z) = -2. Let f(m) = 38*m - 21. Let o(u) = -f(u) + 6*t(u). Differentiate o(r) with respect to r.
-38
Suppose -3*o + 5 = -4. Suppose -3*w - 3 = -o*u, 5*u + 5*w - 31 = u. What is the derivative of 3*t**u - 2 - 2*t**4 - 2 + 2*t**4 wrt t?
12*t**3
Suppose -3*i + 8 = -o + 17, 5*o - 2*i - 19 = 0. Let x(w) = 3*w**2 + 4. Let d(m) = m**4 - 8*m**2 - 11. Let c(k) = o*d(k) + 8*x(k). Differentiate c(r) wrt r.
12*r**3
Let f be (-48)/18*3/(-2). What is the third derivative of 8*w**5 - 8*w**5 + 4*w**2 + f*w**6 - w**6 wrt w?
360*w**3
Let f be (-1)/(428/216 - 2). Differentiate 46*c - f*c + 1 + 5 wrt c.
-8
Let h(y) be the second derivative of -y**6/3 - y**3/2 + 11*y. Find the second derivative of h(n) wrt n.
-120*n**2
Let o be (2 - 1) + (-3)/(-1). Find the second derivative of 0*q + q + 0*q**2 + 5*q**2 - o*q**2 wrt q.
2
Let c(j) = 2*j - 18. Let s be c(9). Let y(l) be the second derivative of 2*l + 0*l**2 + s + 1/4*l**4 + 1/3*l**3. Find the second derivative of y(o) wrt o.
6
Let o(n) = 5*n**2 + 10*n - 51. Let m(f) = 14*f**2 + 28*f - 153. Let h(q) = 4*m(q) - 11*o(q). Find the first derivative of h(y) wrt y.
2*y + 2
Let v(f) be the third derivative of 11*f**8/336 + 5*f**4/12 + 2*f**2. What is the second derivative of v(h) wrt h?
220*h**3
Let q(p) = 17*p + 11. Let n(x) be the second derivative of 3*x**3/2 + 3*x**2 + x. Let c(d) = 7*n(d) - 4*q(d). What is the derivative of c(z) wrt z?
-5
Let h(u) = -u**2 + 7*u. Let x be h(5). Differentiate -2*n - 12 + 2*n + x - 4*n**2 wrt n.
-8*n
Let k(c) be the third derivative of 0*c**4 - 2*c**2 + 1/2*c**3 + 0 + 0*c**5 + 1/60*c**6 + 0*c. What is the derivative of k(y) wrt y?
6*y**2
Let u be 1/6*-2*-6. Find the second derivative of -u*w + 6*w**3 - 1 + 1 - 5*w**3 wrt w.
6*w
Let o(k) be the second derivative of k**6/2 + 9*k**2 - 18*k. What is the derivative of o(r) wrt r?
60*r**3
Let m(l) be the second derivative of -13*l**4/12 - 2*l**2 + 3*l. What is the derivative of m(a) wrt a?
-26*a
Let f be 20/(-8)*-1*2. Let p = f + -5. Find the second derivative of -3*r - 2*r**3 + p*r + 5*r**3 wrt r.
18*r
What is the third derivative of m**6 + m**6 - 4*m**6 + 0*m**6 - 6*m**2 wrt m?
-240*m**3
Let l(g) be the first derivative of 27*g**5/5 - 21*g + 38. Differentiate l(x) wrt x.
108*x**3
Suppose -z - 12 = -2*z. Suppose -2*v = f - 10, -5*v + v = -2*f + z. What is the third derivative of x**4 + f*x**2 + 3*x**4 - 4*x**2 wrt x?
96*x
Let i(x) be the first derivative of 6*x**4 - 18*x**2 + 33. Find the second derivative of i(q) wrt q.
144*q
Let m be -1 - (2*-4)/1. Find the third derivative of 7*k**2 - m*k**5 + 7*k**5 - 3*k**6 wrt k.
-360*k**3
Let f(m) = -2*m**4 - 4*m**3 + 21*m**2 - 4*m + 4. Let p(t) = -t**3 - t + 1. Let u(c) = f(c) - 4*p(c). Find the third derivative of u(o) wrt o.
-48*o
Let l(s) be the first derivative of -s**5/40 - s**4/24 + 4*s**3/3 + 3. Let r(c) be the third derivative of l(c). Differentiate r(p) with respect to p.
-3
Find the third derivative of -g**2 + 0*g**2 - g**2 + 3*g**2 + 7*g**5 wrt g.
420*g**2
Let h(b) be the third derivative of 0*b**4 + 3*b**2 + 0*b**5 + 0 - 1/42*b*