 1/105*n**7 - 2*n**2 + 0*n**4 + 0*n**3. What is the third derivative of p(f) wrt f?
-48*f
Let r(a) be the first derivative of -8/3*a**3 + 0*a**5 + 0*a**2 - 3/2*a**6 + 2 + 0*a**4 + 0*a. Find the third derivative of r(o) wrt o.
-540*o**2
Let g(o) be the second derivative of 0 + 1/4*o**4 - 2*o + 0*o**3 - 3/2*o**2. Differentiate g(k) with respect to k.
6*k
Suppose 0 = -5*y - 4*z + 6, 0*z + 2 = -y - 4*z. Let p be -2 - (6/(-2) - y). Differentiate -n + p*n - 2 + 2*n with respect to n.
4
Let u(h) be the second derivative of h**8/14 - 7*h**4/12 + 5*h. What is the third derivative of u(m) wrt m?
480*m**3
Let b(y) = y**3 - 2*y**2 - 3*y + 3. Let g(j) = 2*j**3 - 3*j**2 - 5*j + 5. Let t(p) = -5*b(p) + 3*g(p). Find the third derivative of t(h) wrt h.
6
Let u(k) be the second derivative of 10*k**4/3 + 20*k**2 + 21*k. What is the first derivative of u(i) wrt i?
80*i
Let f(t) = -3*t - t + t. Let b(m) = -4*m - 1. Let x(v) = -4*b(v) + 5*f(v). Find the first derivative of x(i) wrt i.
1
Suppose 0 = -c + 2*c - 4. Let v(z) be the first derivative of -2/3*z**3 + 0*z**2 - 2 + 0*z + 1/4*z**c. What is the third derivative of v(q) wrt q?
6
Suppose 6*r - 17 = 1. Find the third derivative of -3*z**3 - z**3 - 9*z**r + 4*z**3 + 4*z**2 wrt z.
-54
Let u(f) = 6*f + 7. Let z(q) be the first derivative of -3*q**2/2 - 3*q + 2. Let v(c) = 2*u(c) + 5*z(c). Differentiate v(i) with respect to i.
-3
Let w = -1 + 5. Let c = w + 1. Find the first derivative of -2 + 8*p - c*p - 2*p wrt p.
1
Let w(t) be the second derivative of -11*t**6/10 + 3*t**4 + 30*t. What is the third derivative of w(i) wrt i?
-792*i
Let o(p) = p**2 - 1. Let w(r) = 2*r + 3. Let n(b) = 2*o(b) + w(b). Let v be n(-2). Find the third derivative of -2*t**2 + 2*t**2 - t**2 - t**v wrt t.
-60*t**2
Let x(r) = r**3 + 14*r**2 + 13*r + 3. Let y be x(-13). What is the third derivative of -5*v**y - 6*v**2 + 0*v**2 - 3*v**3 + 4*v**3 wrt v?
-24
Find the third derivative of 43*i**2 + 2166*i - 2166*i + 36*i**4 wrt i.
864*i
Let p(k) be the third derivative of 0*k + 3/2*k**3 - 6*k**2 + 0 - 1/8*k**4. Differentiate p(q) wrt q.
-3
Let u(k) = -27*k**2 + 21*k + 11. Let z(v) = -9*v**2 + 7*v + 4. Let p(j) = 4*u(j) - 11*z(j). Find the second derivative of p(s) wrt s.
-18
Let a(j) be the third derivative of 0*j - 7*j**2 + 1/4*j**4 - 1/24*j**6 + 0*j**3 + 0*j**5 + 0. What is the second derivative of a(l) wrt l?
-30*l
Let t(u) = -16*u**2 - 4*u. Let h(l) be the third derivative of l**5/60 + 9*l**2. Let a(f) = -24*h(f) - t(f). Find the second derivative of a(z) wrt z.
-16
Suppose 2*f + 3*i = -11, 15 = 3*i - 6*i. What is the third derivative of 0*m**3 - 2*m**3 - f*m**4 + 2*m**3 - 2*m**2 wrt m?
-48*m
Let d(w) be the third derivative of w**7/420 + w**5/120 + w**3/2 - w**2. Let x(n) be the first derivative of d(n). Find the second derivative of x(o) wrt o.
12*o
Let i(k) be the first derivative of 14*k**5/5 + 4*k - 13. Find the first derivative of i(b) wrt b.
56*b**3
Let k be 3/(10/(-16) - -1). Let x = k + -6. What is the third derivative of -34*l**2 + x*l**3 + 0*l**3 + 32*l**2 wrt l?
12
Find the first derivative of -12*c**4 + c**4 - 76*c**3 + 76*c**3 - 4 wrt c.
-44*c**3
Let s(l) = 2*l - 4. Let i(k) = k - 1. Let r(y) = -16*i(y) + 5*s(y). Differentiate r(j) wrt j.
-6
What is the third derivative of 2*t**2 - 1239*t**3 - 16*t**6 + 1239*t**3 wrt t?
-1920*t**3
Let f(r) be the third derivative of -17*r**5/15 - 43*r**4/24 - 5*r**2 - 3*r. Find the second derivative of f(u) wrt u.
-136
Let o(t) be the first derivative of t**6/60 + 7*t**5/120 + 2*t**3/3 + 7. Let z(y) be the third derivative of o(y). What is the second derivative of z(k) wrt k?
12
What is the second derivative of -f + 4*f + 27*f**2 + 12*f**2 + 2*f wrt f?
78
Let g(c) be the second derivative of -c**8/336 + c**6/72 - c**3/3 + 2*c. Let m(q) be the second derivative of g(q). Find the third derivative of m(x) wrt x.
-120*x
Let m(c) = 10*c**4 + 5*c**2 + 5*c - 9. Let y(w) = -w**4 - w**2 - w + 1. Let u(a) = -m(a) - 5*y(a). Find the first derivative of u(g) wrt g.
-20*g**3
Let k(r) = -r. Let s(o) = -6*o**2 - o - 13. Let f(t) = -k(t) + s(t). What is the first derivative of f(u) wrt u?
-12*u
Differentiate -55*u**4 - 10 + 47*u**4 + 3*u - 3*u wrt u.
-32*u**3
Let v(l) be the first derivative of -2*l**7 + 10*l**3 - 17. Find the third derivative of v(u) wrt u.
-1680*u**3
Let v = 1 - -1. Differentiate -13 + v*n + 8 - 4*n**3 - 2*n wrt n.
-12*n**2
Let u = 7 + -5. Let a(h) be the third derivative of -1/12*h**4 - 2*h**u + 0*h**3 + 0*h + 1/120*h**6 + 0 + 0*h**5. What is the second derivative of a(y) wrt y?
6*y
Let y(n) = 3*n + 4*n + 2 + 8*n**2 + n**3 + 0*n. Let s be y(-7). What is the third derivative of 4*p**6 - 3*p**6 + 0*p**6 + s*p**2 wrt p?
120*p**3
Let y(g) be the third derivative of -g**7/105 - 4*g**5/15 + 13*g**2. What is the third derivative of y(m) wrt m?
-48*m
Let g(s) = 1. Let l(h) = -2*h**2 - 5. Let k be (-40)/7 - 10/35. Let f be 3/(-2) + 1/2. Let p(t) = f*l(t) + k*g(t). Find the first derivative of p(m) wrt m.
4*m
Let d(m) = -8*m**3 + 2. Let t be 0 - 4*(-4)/8. Let x(w) = -w**3. Let b(s) = t*d(s) - 12*x(s). What is the derivative of b(f) wrt f?
-12*f**2
Let k = 0 - -3. Find the second derivative of 4*h + k*h**3 - 7*h - 6*h**3 wrt h.
-18*h
Find the second derivative of 2*u**4 + 5*u**4 - 3*u**4 - 8*u wrt u.
48*u**2
Let z be -14*6/(-36) - (-2)/(-6). Let w(s) be the first derivative of -3/2*s**z - 4*s + 3. Differentiate w(q) wrt q.
-3
Let m be -3*(4/(-3))/2. Let o = -33 + 38. What is the second derivative of -c + c - c - m*c**o wrt c?
-40*c**3
Let o(i) = -i + 3. Let a be o(0). Let v = 2 + 4. What is the derivative of v*d - 2*d**2 - a - 6*d wrt d?
-4*d
Let x = -7 + 15/2. Let a(i) be the second derivative of 0 + 0*i**3 + 2*i + 0*i**4 - 1/10*i**5 - x*i**2. Differentiate a(w) wrt w.
-6*w**2
Let y(q) be the first derivative of 0*q**4 - 2/5*q**5 + 0*q**3 + 0*q - 1/2*q**2 + 3. Find the second derivative of y(v) wrt v.
-24*v**2
Let o(a) be the first derivative of -a**8/1680 - a**6/180 - a**3 + 5. Let x(m) be the third derivative of o(m). What is the third derivative of x(q) wrt q?
-24*q
Let f(s) = -s + 4. Let v be (-4)/10 + 6/(-10). Let h(p) = -p + 1. Let z(a) = v*f(a) + 2*h(a). What is the derivative of z(x) wrt x?
-1
Let x(z) be the first derivative of 9*z**5/20 - 5*z**3/3 - 10*z - 1. Let d(c) be the first derivative of x(c). Find the second derivative of d(m) wrt m.
54*m
Let d(w) = -w**3 - w**2 + w + 1. Let k(r) = -5*r**3 + 4*r + 4. Let j(n) = 4*d(n) - k(n). What is the third derivative of j(t) wrt t?
6
Differentiate -5 - 14*k**2 + 5*k - 5*k wrt k.
-28*k
Let a(p) = -54*p**3 + 11*p**2 - 64*p. Let d(m) = 11*m**3 - 2*m**2 + 13*m. Let u(c) = -2*a(c) - 11*d(c). Find the second derivative of u(n) wrt n.
-78*n
Let a(d) = -9*d + 25. Let k(t) = 5*t - 13. Let q(o) = 6*a(o) + 11*k(o). Let b be q(-6). Find the first derivative of -16*x + b + 16*x - 2*x**2 - 3*x**2 wrt x.
-10*x
Suppose 0 = -4*f - f + 15, -f = c - 1. Let l = 0 - c. Find the third derivative of 3*d**l - 4*d**2 - d**2 + 2*d**4 - 5*d**4 wrt d.
-72*d
Let l(g) be the third derivative of -g**6/40 - g**5/6 - 20*g**2. Find the third derivative of l(a) wrt a.
-18
Suppose 3*m + 2 = n, -m - 6 = -4*n + n. Suppose -16 = -n*h - 6. Find the third derivative of -2 + 2*j**2 - 3*j**h + 2 wrt j.
-180*j**2
Let h be -3 - (-3)/(1 + 2). Let r be 1 - -1 - (h + 0). What is the second derivative of -2*o**4 + 0*o**4 - 2*o + 3*o**r wrt o?
12*o**2
Let t(p) be the first derivative of 4 + 1/2*p**2 - 2*p. Differentiate t(o) with respect to o.
1
Suppose 3 = 4*o - o. Let c be (1 + 1)/o - -1. Differentiate -3 + 3 + 4 + 3*s**c - s**3 with respect to s.
6*s**2
Let x(a) = -a**4 - a**3 + a**2 - a - 1. Let z(p) = -23*p**4 - 4*p**3 + 4*p**2 + 8*p - 4. Let w(u) = 4*x(u) - z(u). Find the second derivative of w(k) wrt k.
228*k**2
Let f = 10 + -3. What is the derivative of 7*x - 2*x**2 - 1 - f*x + 5 wrt x?
-4*x
Suppose 4*f + 4*v - 24 = 0, -v - 3*v = -3*f + 11. What is the second derivative of 12*c - c**f + 5*c**5 - 13*c wrt c?
80*c**3
Let d(h) be the second derivative of -h**6/24 - h**4/8 - h**2 + h. Let g(u) be the first derivative of d(u). Find the second derivative of g(x) wrt x.
-30*x
Let q(l) = l + 8. Let o be q(-5). Suppose 0 = -3*h + 3*n + 4 + 5, -o*h = -2*n - 10. What is the second derivative of 4