 2 - 3*a**3 - 2*a**3 with respect to a.
-21*a**2
Let a(d) be the third derivative of d**6/12 - 2*d**3 - 11*d**2. What is the first derivative of a(v) wrt v?
30*v**2
What is the derivative of 17 - 7 + 29*x + 3 wrt x?
29
Let x(t) = -2*t**3 + 4*t**2 + 7*t. Let g = -11 + 8. Let q(p) = 2*p**3 - 3*p**2 - 6*p. Let m(r) = g*x(r) - 4*q(r). Find the second derivative of m(u) wrt u.
-12*u
Let l(r) = -r + 1. Let f(z) = 4*z - 17. Let s(g) = f(g) + 6*l(g). Differentiate s(n) wrt n.
-2
Let i = 1 - -4. Let n = i - 2. Differentiate -6*b**n + 4 - b**3 + 9*b**3 with respect to b.
6*b**2
Let f(b) = -12 + 0 + 12*b - b + 10*b**4. Let o(y) = -y**4 - y + 1. Let v(g) = 2*f(g) + 22*o(g). Differentiate v(q) with respect to q.
-8*q**3
Let r(i) be the first derivative of -3*i**4/2 - 3*i + 6. Find the first derivative of r(q) wrt q.
-18*q**2
Let v(m) = m**2 + 5*m + 2. Let o(g) = g**2 - g - 1. Suppose -2 = 2*l - l. Let p(w) = l*o(w) - v(w). Find the second derivative of p(z) wrt z.
-6
What is the third derivative of 42*n**2 + 4*n**6 + 12*n**6 + 5449 - 5447 wrt n?
1920*n**3
Let t = -10 + 28. Suppose t = 3*l - 3. What is the first derivative of 0 + 9*g - 2 - l*g wrt g?
2
Let w be 2/(-7) - (-304)/672. Let d(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 1/20*z**5 + w*z**4 + z. What is the third derivative of d(h) wrt h?
6
Let j(f) be the first derivative of 0*f**2 + 4/3*f**3 - 3*f + 2. Differentiate j(x) wrt x.
8*x
Let y(p) = p**3 - 5*p**2 + 2*p - 7. Let l be y(5). Find the second derivative of -k**5 + 3*k + l*k**5 - 5*k**5 wrt k.
-60*k**3
Let q be 12/(-54) - (-40)/18. Find the first derivative of 1 - n**4 + 5*n**4 - 3 - q*n**4 wrt n.
8*n**3
Let m(b) = -3 - b**3 + b**3 + b**3 + 3*b. Suppose 6 = 4*f + 26. Let l(k) = 3*k**3 + 5*k - 6. Let v(x) = f*m(x) + 3*l(x). What is the derivative of v(z) wrt z?
12*z**2
Let p(h) = h**2 - 5*h - 6. Let c be p(7). Let a = -5 + c. Find the third derivative of -4*i**2 + 3*i**2 + a*i**2 - 4*i**6 + 0*i**2 wrt i.
-480*i**3
Find the third derivative of -16*o**4 - 18*o**4 + 11*o**2 + 29*o**4 wrt o.
-120*o
Let d(n) be the second derivative of -n**4/6 - n**2/2 + 3*n. Find the first derivative of d(v) wrt v.
-4*v
Let z(o) = 13*o**5 - 9*o**3 - 49*o**2. Let l(t) = -3*t**5 + 2*t**3 + 12*t**2. Let j(p) = 9*l(p) + 2*z(p). Find the third derivative of j(f) wrt f.
-60*f**2
Let i(q) be the third derivative of q**4/12 - 3*q**3/2 + q**2. Find the first derivative of i(s) wrt s.
2
Suppose -12 - 3 = -5*v. Suppose 4*j + v = 7. What is the first derivative of -j + 2*o - 2*o - 4*o + 6*o wrt o?
2
Let x(a) be the first derivative of -2*a**2 - 2*a + 8. What is the derivative of x(w) wrt w?
-4
Let p be (-13)/(-3) - 1/3. What is the derivative of c**p + 0*c**4 - 3 + 0*c**4 wrt c?
4*c**3
Let r(k) be the second derivative of 2*k + 0*k**2 - 1/4*k**4 + 0 + 0*k**5 + 0*k**3 + 1/30*k**6. What is the third derivative of r(q) wrt q?
24*q
What is the first derivative of -v**4 - 8 - 5*v**4 - 13 + 3 wrt v?
-24*v**3
Differentiate -5*f - f + 1 + 4*f - 2*f**2 with respect to f.
-4*f - 2
Let x(g) = -6*g - 2. Let i be x(-3). What is the second derivative of -i*m**2 + 15*m**2 - 1 - m + 1 wrt m?
-2
Let g(n) = 2*n - 2. Let c be g(3). What is the second derivative of d**3 + 0*d - c*d - d + d wrt d?
6*d
Differentiate 3*o**2 - 16 - 14*o**3 - 3*o**2 + 4 wrt o.
-42*o**2
Find the third derivative of -n**3 + 2*n**3 - n**3 + 6*n**3 - 12*n**2 wrt n.
36
Differentiate 1 + 16 + j + 0 - 6 with respect to j.
1
Suppose -4*m + 0 = 4*x - 20, -2*x - 2 = -2*m. What is the second derivative of 4*h**2 - 3*h**3 + m*h - 4*h**2 wrt h?
-18*h
Let c(h) be the first derivative of -h**7/120 + h**5/60 + 7*h**3/3 - 5. Let y(x) be the third derivative of c(x). Find the second derivative of y(u) wrt u.
-42*u
Let q(n) be the third derivative of -n**7/420 + n**4/24 - n**3/6 + 2*n**2. Let u(v) be the first derivative of q(v). Differentiate u(t) wrt t.
-6*t**2
Let z(o) be the second derivative of -3*o**6/10 - 13*o**4/12 + 14*o. Find the third derivative of z(y) wrt y.
-216*y
Let d = -8 + 11. Find the second derivative of d*s + 6*s**5 + 0*s - 4*s**5 wrt s.
40*s**3
Let l(t) be the second derivative of t**6/720 + t**5/30 + 5*t**4/12 + 5*t. Let y(z) be the third derivative of l(z). Differentiate y(n) wrt n.
1
Find the first derivative of -67 + 57 - 6*h**3 + 8*h**3 - 20*h**3 wrt h.
-54*h**2
Let t(z) be the first derivative of -z**3/3 - 4*z**2 - 4. What is the second derivative of t(w) wrt w?
-2
Let w(p) be the third derivative of p**7/42 - 23*p**3/6 + 26*p**2. Differentiate w(v) wrt v.
20*v**3
Let m be (-27)/(-36)*6/27. Let h(s) be the first derivative of 0*s**3 + 0*s**4 + 0*s**5 + s**2 + m*s**6 + 0*s - 1. Find the second derivative of h(r) wrt r.
20*r**3
Suppose 5*u + 4*h + 0*h - 37 = 0, 12 = 4*h. Let j be -1 - -6 - (u + -3). Differentiate 3*q - 3*q + 1 - 2*q**j with respect to q.
-6*q**2
Let w(u) be the third derivative of -13*u**4/12 - 11*u**3/6 + 38*u**2. What is the first derivative of w(y) wrt y?
-26
Let v(m) be the first derivative of 1/4*m**4 + 0*m**2 - 2*m - 2 + 0*m**3. Differentiate v(d) with respect to d.
3*d**2
Find the second derivative of -658 - 9*c + 658 - 6*c**5 wrt c.
-120*c**3
Let p = 5 + -1. What is the third derivative of 2*r**5 - r**5 + 2*r**2 - p*r**5 wrt r?
-180*r**2
What is the third derivative of 19*f**2 + 6*f**4 - 21*f**4 + 9*f**4 + 11*f**4 wrt f?
120*f
Let s(p) = 3*p**4 - 7*p**2 + 2*p - 7. Let c(l) = -l**2 - 1. Let i(n) = 21*c(n) - 3*s(n). What is the second derivative of i(k) wrt k?
-108*k**2
Let s(h) = -h**2 - 8*h - 3. Let w be s(-7). Let o(t) = -6*t + 2. Let r(p) = 5*p - 1. Let d(l) = w*r(l) + 3*o(l). What is the first derivative of d(q) wrt q?
2
Let n(d) = -5*d**4 - 4*d**3 + d + 4. Let m(l) = -l**4 - l**3 + l + 1. Let y(u) = 4*m(u) - n(u). Find the second derivative of y(p) wrt p.
12*p**2
Let u(s) = 5*s + 1. Let r be u(2). Let j(w) = 13*w + 13. Let f(l) = 8 + 7*l + 0*l - 1. Let g(o) = r*f(o) - 6*j(o). What is the first derivative of g(y) wrt y?
-1
Let y(j) = -j**2 + j + 1. Let z(l) = 13*l**3 - 5*l**2 - 2*l - 2. Let f(k) = 4*y(k) + 2*z(k). What is the third derivative of f(d) wrt d?
156
Let w(h) = 1. Let i = -14 - -17. Let b = 3 - 4. Let z(n) = n**4 + n**2 + 3. Let g(q) = b*z(q) + i*w(q). What is the third derivative of g(j) wrt j?
-24*j
Let q(x) = 2*x**2 + x + 3. Let u = -9 + 12. Let p(t) = 2*t**2 + t + 2. Let y(c) = u*p(c) - 2*q(c). Find the second derivative of y(n) wrt n.
4
Find the first derivative of -4 + 15*r**4 + r**4 - r**4 + 9 wrt r.
60*r**3
What is the third derivative of 6*z**6 - 4*z**6 - z**6 + 5*z**2 - z**2 wrt z?
120*z**3
Let f be ((-1)/(-2))/((-1)/4). Let x be f/(-1)*21/14. Differentiate -11*a - 1 - x*a**3 + 11*a + a**3 with respect to a.
-6*a**2
Suppose -g - 3*g = -8. Differentiate g - 5*t + 2*t + 1 wrt t.
-3
Let s(k) = -4*k**3 - 2*k**2 - 2*k - 1. Let g be s(-1). Let c = 38 + -37. What is the first derivative of 0*m + c - g*m + 3*m - 2*m wrt m?
-2
Let o(n) = 52*n + 54. Let x(y) = 17*y + 18. Let g(u) = 5*o(u) - 16*x(u). Differentiate g(f) with respect to f.
-12
What is the third derivative of 8*v**3 - 6*v**2 - 6*v**3 - 15*v**2 + 3*v**2 wrt v?
12
Suppose -k - 24 = -4*m, -18 = -2*m - 0*k + 2*k. Find the third derivative of 2*x**4 - 6*x**5 - 2*x**4 + m*x**5 + 2*x**2 wrt x.
-60*x**2
Suppose -5*n + r = -19 - 13, -2*r = -2*n + 8. What is the first derivative of -1 - 10*z - n*z**3 + 3*z**3 + 10*z wrt z?
-12*z**2
Let n be 3/1*4/6. What is the second derivative of -1 - 2*m**3 + m**3 + n*m + 1 wrt m?
-6*m
Let f = -8 - -23. What is the first derivative of -6*x**2 + 3 + f*x**2 - 8 wrt x?
18*x
Let l(b) be the second derivative of 2/3*b**4 - 5/2*b**2 - b + 0*b**3 + 0. Find the first derivative of l(r) wrt r.
16*r
Let q(s) = -s**3 - 5*s**2 - 5*s. Let f be q(-4). What is the second derivative of 3*w - 3*w - f*w + 3*w - 2*w**2 wrt w?
-4
Let f(i) be the second derivative of 11*i**7/42 + 11*i**4/12 + 10*i. What is the third derivative of f(h) wrt h?
660*h**2
Suppose -4*o = -n - 14, 2*o - 6 = n + 2. Let u = 0 - n. Find the third derivative of w**2 - 2*w + 2*w**6 + u*w wrt w.
240*w**3
Let v = -5 + 9. What is the first derivative of 0*d**2 - d**2 + v + 4*d**2 wrt d?
6*d
Let t(a) = a**3 + a**2 + a + 1. Let z(v) = 15*v**4 + 2*v**3 + 2*v**2 + 2*v + 14. Let l(k) = -2*t(k) + z(k). What is the first deriva