t f(t) be the third derivative of 19*t**5/60 - 9*t**3/2 - 30*t**2. What is the derivative of f(d) wrt d?
38*d
Let p be (4 - (1 + 1)) + 18. Let r be ((-3)/(-1))/(15/p). What is the third derivative of -4*g**r + 2*g**2 + 0*g**2 + 5*g**4 wrt g?
24*g
Let l(d) be the second derivative of d**9/15120 + d**7/1260 - d**4/12 - 3*d. Let p(r) be the third derivative of l(r). Find the third derivative of p(j) wrt j.
24*j
Let q(t) = 4*t**5 + 6*t**4 - 2*t**3 + t + 2. Let z(k) = k**5 - k**3 + k. Let a(d) = q(d) - 2*z(d). What is the second derivative of a(w) wrt w?
40*w**3 + 72*w**2
Let v(s) be the second derivative of s**4/8 + s**3/6 - 3*s**2/2 - 3*s. Let k(w) be the first derivative of v(w). Find the first derivative of k(p) wrt p.
3
What is the second derivative of -2*r**5 - 8 + 8*r + 2 + 6 wrt r?
-40*r**3
Let s(j) be the first derivative of -j**4/8 + j**3/6 - j**2 - 1. Let w(x) be the second derivative of s(x). What is the first derivative of w(h) wrt h?
-3
Let w = 62 - 59. Let y(s) be the third derivative of 0*s + 0 + 0*s**w + 1/24*s**4 - 1/30*s**5 - 3*s**2. What is the second derivative of y(m) wrt m?
-4
Let v(u) be the third derivative of -u**6/15 - 5*u**3/3 - 7*u**2. Differentiate v(f) wrt f.
-24*f**2
Let z(k) = 1. Let a(d) be the second derivative of -d**3 - d**2/2 - 3*d. Let o(g) = a(g) - 2*z(g). What is the derivative of o(j) wrt j?
-6
Let v(r) = -8*r**3 + 7*r**2 - 19*r. Let o(n) = 3*n**3 - 2*n**2 + 6*n. Let g(d) = -14*o(d) - 4*v(d). What is the second derivative of g(s) wrt s?
-60*s
Suppose 0 = -5*f - 11 + 1. Let q be 1/(-1 - 3/f). What is the first derivative of 3*n**2 + 5*n - q*n**2 - 5*n + 2 wrt n?
2*n
Let i(y) be the third derivative of -1/8*y**4 + 0 + 2*y**2 - 1/2*y**3 + 0*y. Differentiate i(f) with respect to f.
-3
Suppose -4*z + 9 = 1. What is the second derivative of -z*o + 3*o + 2*o**2 + o wrt o?
4
What is the third derivative of 139*r + 14*r**5 - 137*r - 8*r**4 + 3*r**2 + 8*r**4 wrt r?
840*r**2
Differentiate 3 + y**2 + 2*y**2 + 3*y**2 with respect to y.
12*y
Let q be (2/(-8))/((-4)/16). What is the derivative of -q - 1 + 9 - 4*n**2 + 0*n**2 wrt n?
-8*n
Let m(n) be the third derivative of -n**4/12 - 5*n**3/6 - 3*n**2. What is the derivative of m(q) wrt q?
-2
Let j(f) = 11*f**2 - 31. Let o(i) = -22*i**2 + 63. Let m(c) = 9*j(c) + 4*o(c). What is the derivative of m(s) wrt s?
22*s
What is the first derivative of -132 + 129 - 9*n - 3*n wrt n?
-12
Suppose -z - z = 4*i - 26, 0 = 3*z - 4*i + 1. Suppose -z*w + 9 = -1. What is the third derivative of 2*c**4 - w*c**4 + 0*c**4 - c**2 - 4*c**4 wrt c?
-96*c
Let l(r) be the second derivative of -r**9/3024 + r**6/90 + r**3/6 - 3*r. Let f(g) be the second derivative of l(g). Find the third derivative of f(j) wrt j.
-60*j**2
Let g(p) be the second derivative of 13*p**4/12 - 8*p**3/3 + 2*p. Find the second derivative of g(x) wrt x.
26
Suppose -2*t = 2*t - 36. Find the third derivative of -11 + t + 2 + 2*i**2 - i**3 wrt i.
-6
Let c(t) be the third derivative of t**7/42 + t**4/8 + 13*t**2. What is the second derivative of c(w) wrt w?
60*w**2
Suppose 0*m - 4*m = 0. Let b(h) be the first derivative of m*h - 3 - h**3 + 1 - 2*h. What is the first derivative of b(k) wrt k?
-6*k
Let j(u) be the second derivative of -1/6*u**3 - 3/2*u**2 - 3*u + 0. What is the first derivative of j(q) wrt q?
-1
Let f(d) be the second derivative of d**8/14 + d**4/4 + 7*d. What is the third derivative of f(r) wrt r?
480*r**3
Let c(j) be the second derivative of 0 + 2*j - 1/4*j**4 + 0*j**3 + 0*j**2 + 1/20*j**5. What is the third derivative of c(h) wrt h?
6
Let u(s) = -9 - 2*s + 6*s + 8*s**3 + 5*s**2 + s. Let n(a) = -7*a**3 - 4*a**2 - 4*a + 8. Let v(m) = 5*n(m) + 4*u(m). Differentiate v(x) wrt x.
-9*x**2
Let x(n) = -9*n**5 + 6*n**4 + n**2 + 6*n - 6. Let s(r) = 10*r**5 - 7*r**4 - r**2 - 7*r + 7. Let i(b) = 6*s(b) + 7*x(b). Find the third derivative of i(z) wrt z.
-180*z**2
Suppose 0 = 4*s + 3*f - 6, f - 1 + 3 = 0. Suppose -p = s - 7. Differentiate 0 - 4*x**2 + p*x**2 + 3*x**2 + 1 with respect to x.
6*x
Let l(t) be the third derivative of 3*t**6/20 - 23*t**4/24 + 29*t**2. What is the second derivative of l(q) wrt q?
108*q
Let w(r) be the first derivative of 2 + 3/5*r**5 - r**2 + 0*r**4 + 0*r + 0*r**3. What is the second derivative of w(c) wrt c?
36*c**2
Suppose -m = -5*x + 3*m, -x = -4*m. Let k(w) be the second derivative of 1/3*w**4 + 3/2*w**2 + x + 0*w**3 - w. Find the first derivative of k(l) wrt l.
8*l
Let j = 2 + 3. Let y(a) = 5*a**3 - 2*a**2 + 3*a - 3. Let s(o) = -9*o**3 + 3*o**2 - 5*o + 5. Let t(h) = j*y(h) + 3*s(h). Find the third derivative of t(r) wrt r.
-12
Let g(h) = 22*h + 15. Let p(r) = -33*r - 23. Let v(c) = -7*g(c) - 5*p(c). What is the derivative of v(t) wrt t?
11
Let p(s) = 19*s**3 - 5*s**2 - 3*s + 30. Let r(y) = -18*y**3 + 6*y**2 + 4*y - 30. Let z(v) = 4*p(v) + 3*r(v). What is the third derivative of z(k) wrt k?
132
Let w(m) be the first derivative of -6*m**5 - 18*m + 21. Find the first derivative of w(g) wrt g.
-120*g**3
Let c(j) be the third derivative of j**9/756 + j**5/20 + j**3/3 - 3*j**2. Let u(l) be the first derivative of c(l). Find the second derivative of u(x) wrt x.
80*x**3
Suppose -5*d + 5*q - 14 = -4, 3*q - 12 = d. What is the third derivative of 0*c**2 - c**2 + 2*c**d - 4*c**2 - 5*c**3 wrt c?
-18
Let l(j) = -2*j - 30*j**3 + 31*j**3 + 5*j**2 + j + 1. Let q be l(-5). What is the third derivative of 2*d**6 + 3 - d**2 + 3 - q wrt d?
240*d**3
Let p(l) be the second derivative of -1/4*l**4 + 0*l**5 + 0*l**2 + 1/15*l**6 + 4*l + 0 + 0*l**3. What is the third derivative of p(r) wrt r?
48*r
What is the second derivative of -9*u**2 + 8*u**2 - 10*u + 0*u wrt u?
-2
Let i(f) be the third derivative of -1/70*f**7 + 0*f**3 - 2*f**2 + 0*f + 0*f**5 + 0 - 1/12*f**4 + 0*f**6. Find the second derivative of i(j) wrt j.
-36*j**2
Let z(v) = 3*v**2 - 5*v**2 - 1 - v**2. Let l(y) = -2*y**2. Let q be -1*3/6*6. Let m(p) = q*z(p) + 5*l(p). What is the first derivative of m(x) wrt x?
-2*x
Let f(w) = -8*w**3 - w**2 + 2*w - 1. Let x(d) = -d**3 - d**2 - 1. Let p(q) = -f(q) + x(q). Find the second derivative of p(s) wrt s.
42*s
Suppose -4*l + 20 = -4*y, -38 + 15 = -5*l + 3*y. Let p be (8/l)/(1/1). What is the second derivative of 19*t**3 - 2*t - p*t**4 - 19*t**3 wrt t?
-24*t**2
Let v(s) be the third derivative of -s**7/1260 - s**6/240 + s**5/60 + s**2. Let g(f) be the third derivative of v(f). What is the derivative of g(t) wrt t?
-4
Let c(n) be the second derivative of n**7/7 + n**4 + 21*n. Find the third derivative of c(t) wrt t.
360*t**2
Suppose 0 = -2*h + 4*x - 24, 0*h = h + 2*x. Let w = h + 8. Find the third derivative of 2*z**2 + z**5 + w*z**2 - 2*z**2 wrt z.
60*z**2
Let s(x) be the second derivative of 8*x**6/15 - 7*x**2/2 + 4*x. Differentiate s(v) with respect to v.
64*v**3
Let w(x) be the second derivative of -x**7/14 + x**4/2 + 8*x. Find the third derivative of w(y) wrt y.
-180*y**2
Let j(a) = -37*a**3 + 39. Let p(g) = 112*g**3 - 118. Let x(b) = -14*j(b) - 5*p(b). Find the first derivative of x(c) wrt c.
-126*c**2
Let m(o) be the third derivative of 0*o + 0*o**6 - o**2 + 0 + 0*o**4 + 1/105*o**7 - 1/6*o**3 + 0*o**5. Differentiate m(a) with respect to a.
8*a**3
Let q(f) be the third derivative of f**7/105 - 7*f**3/3 + 30*f**2. What is the derivative of q(l) wrt l?
8*l**3
What is the third derivative of 0*v**4 + 4*v**4 + 4*v**2 + 8*v**4 + 0*v**2 wrt v?
288*v
Let p be (-1 - -2) + (-5)/(-5). Differentiate -29 + n**2 + 7*n**p + 33 with respect to n.
16*n
Let c(d) = -33*d**3 - 32*d**2 + 2*d. Let q(w) = -66*w**3 - 63*w**2 + 5*w. Let s(g) = -5*c(g) + 2*q(g). What is the third derivative of s(y) wrt y?
198
What is the first derivative of 6*n**4 + 5*n**4 + 2 + 10 wrt n?
44*n**3
Find the third derivative of 10*m**2 - 28*m**2 - 21*m**4 - 10*m**4 wrt m.
-744*m
Let t(j) be the first derivative of -2 + 0*j**5 + 0*j**2 + 0*j + 0*j**4 - 2/3*j**3 - 1/3*j**6. What is the third derivative of t(u) wrt u?
-120*u**2
Let p(f) = f**5 - f**3 - f**2 + f + 1. Let s(b) = 8*b**5 - 3*b**3 - 5*b**2 + 3*b + 3. Let g(q) = 3*p(q) - s(q). Find the third derivative of g(l) wrt l.
-300*l**2
Find the second derivative of 0*y**4 + 7*y**4 + 10*y**4 - 10*y wrt y.
204*y**2
What is the third derivative of 10*t**4 + 10*t**4 + 32*t**2 - 40*t**4 wrt t?
-480*t
Let w be 4 + 