Let u(g) = -14*g**3 + 3*g. Let a(w) = -41*w**3 + 8*w - 1. Let f(z) = 3*a(z) - 8*u(z). What is the derivative of f(i) wrt i?
-33*i**2
Let p(s) = -39*s**5 - 65*s**3 + 91*s - 65. Let x(h) = -h**5 - h**3 + h - 1. Let q(k) = -p(k) + 65*x(k). Find the second derivative of q(j) wrt j.
-520*j**3
What is the second derivative of 3*c + 2 - 6*c**2 - 2 - 4*c wrt c?
-12
Let n(p) = p**3 + 24*p**2 - 4*p. Let y(m) = -3*m**3 - 47*m**2 + 9*m. Let s(h) = -9*n(h) - 4*y(h). What is the third derivative of s(b) wrt b?
18
Let c(i) = 4*i**4 + 3*i**3 - 3*i**2 + 3*i - 1. Let y(w) = -5*w**4 - 2*w**3 + 2*w**2 - 2*w + 1. Let v(b) = 2*c(b) + 3*y(b). Differentiate v(d) wrt d.
-28*d**3
Differentiate 4 - 2 + 14*n**4 - 13 with respect to n.
56*n**3
Let s(d) be the third derivative of -d**10/15120 + d**7/840 - d**4/8 - d**2. Let a(f) be the second derivative of s(f). Find the third derivative of a(b) wrt b.
-120*b**2
Let t = 0 + 2. Let d be t/3*(5 - 2). What is the third derivative of i**2 - i**2 + i**6 - d*i**2 wrt i?
120*i**3
Suppose 0 = -5*h + 11 + 4. Suppose 5*r - 30 = -5*t, -5*r - h*t = -26 + 4. Find the second derivative of k**2 + 4*k**2 - 4*k**2 - 3*k**r - k wrt k.
-4
Let z(o) = -o**4 - o**3 - o**2 - o. Let w(n) = -38*n**4 - 3*n**3 + 2*n**2 - 3*n - 1. Let m(j) = w(j) - 3*z(j). What is the third derivative of m(q) wrt q?
-840*q
Let l(r) = -27*r**4 - 21*r**2 + 4*r + 4. Let p(c) = -c**4 - c**2 + c + 1. Let k(n) = l(n) - 4*p(n). Find the third derivative of k(t) wrt t.
-552*t
Let i(n) be the first derivative of -n**5 + n**2/2 - 4. Find the second derivative of i(o) wrt o.
-60*o**2
Let y(m) = 3*m. Let q(l) = -l**3 - 3*l**2 + 3*l - 3. Let b be q(-4). Let u be y(b). Find the second derivative of 3*d - 3*d**u + 3 - 3 wrt d.
-18*d
Let c(d) be the third derivative of -d**7/840 - d**6/90 + d**3/6 - 2*d**2. Let h(s) be the first derivative of c(s). Find the third derivative of h(u) wrt u.
-6
Suppose -19 = 2*i + 5*a, 0 = -4*i + 6*a - 2*a + 32. What is the third derivative of -3*t**4 + 3*t**2 + 7*t**i - 7*t**3 wrt t?
-72*t
Let i be (3/2)/(3/4). What is the second derivative of i*j - 262*j**2 + 10*j**4 + 262*j**2 wrt j?
120*j**2
Suppose 0 = -3*x + 19 - 4. Suppose n + 6 - 15 = 4*d, -4*d - 3 = x*n. What is the derivative of -2*l**2 + n + 1 + 0 wrt l?
-4*l
Let o(k) = -k + 9. Let a be o(7). Differentiate p**3 - 42*p**a + 42*p**2 - 2 wrt p.
3*p**2
Let y(r) = 17*r**3 - 14*r**2 - 5*r. Let z(q) = 18*q**3 - 15*q**2 - 6*q. Let h(k) = -6*y(k) + 5*z(k). Find the third derivative of h(m) wrt m.
-72
Suppose r = 4*r + 3. Let a(v) = v**2 + v + 1. Let w(k) = -7*k**2 - 5*k - 4. Let d(j) = r*w(j) - 5*a(j). What is the derivative of d(z) wrt z?
4*z
Let g(i) = 10*i**3 - 6*i**2 + 7*i + 6. Let q(u) = u**3 - u**2 + u + 1. Let f(m) = -g(m) + 6*q(m). Find the second derivative of f(a) wrt a.
-24*a
Find the third derivative of -75*h**4 + h - 44*h**2 - 3*h + 115*h**4 wrt h.
960*h
Let a(l) be the second derivative of -l**9/5040 + l**7/504 + l**4/12 + 5*l. Let w(s) be the third derivative of a(s). Find the third derivative of w(n) wrt n.
-72*n
Let y(x) = -4*x + 6. Let n(k) = -8*k + 12. Let l(o) = 2*n(o) - 5*y(o). Differentiate l(v) with respect to v.
4
Suppose -9*x + 4*x + 10 = 0. Let v = 1 + x. Find the second derivative of 4*g - 2*g - g - v*g**4 wrt g.
-36*g**2
Let f(o) be the third derivative of -1/60*o**5 + 0*o + 0*o**4 + 2*o**2 - 1/3*o**3 + 0. Find the first derivative of f(w) wrt w.
-2*w
Let g(w) be the second derivative of -31*w**8/56 + 25*w**4/12 + 10*w. Find the third derivative of g(v) wrt v.
-3720*v**3
Let p be 3*(-1)/(-2)*2. What is the third derivative of -3*i**2 + i**2 + i**3 + i**p - 3*i**3 wrt i?
-6
Let z(d) = -d**3 + d. Let j be z(1). Let s(u) be the first derivative of 0*u**2 + 0*u**4 + j*u**3 - 2 + 2/5*u**5 + u. What is the derivative of s(x) wrt x?
8*x**3
What is the third derivative of -9*b**2 - 11*b**5 + 28*b**2 - 8*b**2 wrt b?
-660*b**2
Find the first derivative of 11 + 4*i - 2 - 5*i + 6 wrt i.
-1
Let x(p) be the second derivative of -5*p**7/42 + 2*p**3 - 6*p. Find the second derivative of x(v) wrt v.
-100*v**3
Let v(q) be the first derivative of -5 + 0*q**5 + 0*q**4 + 0*q**2 + 0*q + 2/3*q**3 - 1/6*q**6. Find the third derivative of v(t) wrt t.
-60*t**2
What is the first derivative of 343*n - 6 - n**2 - 343*n wrt n?
-2*n
Let u(y) be the first derivative of -y**6/15 - y**4/6 + 2*y - 3. Let j(r) be the first derivative of u(r). Find the third derivative of j(o) wrt o.
-48*o
Let r(v) = 5*v**2 + v + 3. Let o(c) = 21*c**2 + 4*c + 13. Let g(a) = 6*o(a) - 26*r(a). What is the second derivative of g(q) wrt q?
-8
Let m(f) = -f. Let l be m(-6). Find the third derivative of 4*b**6 - 3*b**2 - b**2 - b**6 + 2*b**l wrt b.
600*b**3
Let t(v) = -7*v - 8. Let h(k) = -4*k - 4. Let b(o) = 5*h(o) - 3*t(o). What is the first derivative of b(w) wrt w?
1
Let u be -2 + (0 - 2 - -1). Let r = 4 + u. Differentiate 4*q**3 + 0 + r - 2 with respect to q.
12*q**2
Let z(b) be the first derivative of -b**4 + 7*b + 3. Find the first derivative of z(q) wrt q.
-12*q**2
Let p(t) = -t**3 + 7*t**2 - 3*t + 7. Let l = -13 - -19. Let f(h) = -2*h**2 + h - 2. Let v(a) = l*p(a) + 21*f(a). Find the second derivative of v(s) wrt s.
-36*s
Let i(v) be the first derivative of 4 + 0*v**3 - 1/4*v**4 + 1/2*v**2 + 0*v. What is the second derivative of i(k) wrt k?
-6*k
Let i be 16/6*(-3)/(-2). What is the derivative of 3 - 7*b**4 + i - 4 - b**4 wrt b?
-32*b**3
Suppose 3*r = -r + 20. Find the first derivative of 0*b + 3*b - 2 - r*b wrt b.
-2
Let k(b) = -14*b. Let a(m) = -m - 1. Let z(s) = -6*a(s) + k(s). Find the first derivative of z(w) wrt w.
-8
Let d = -7 + 14. What is the first derivative of d - 5 - 9*o**4 + 3 wrt o?
-36*o**3
Let x(g) be the third derivative of -1/6*g**4 + 5/6*g**3 + 0*g + 0 + g**2. Find the first derivative of x(m) wrt m.
-4
What is the second derivative of -105*j**5 + 67*j**5 + 13*j + 3 - 3 wrt j?
-760*j**3
Let z(k) = -5*k**2 + 1 - 4 + 2*k**2. Let x(f) = -f**2 - 1. Suppose 2*q + 6 = -8. Let c(r) = q*x(r) + 2*z(r). What is the derivative of c(s) wrt s?
2*s
Let n(f) = -4*f**2 - 2. Let v(x) = 19*x**2 - x + 11. Let q(k) = -11*n(k) - 2*v(k). What is the second derivative of q(o) wrt o?
12
What is the third derivative of 4*y**3 + 6*y**2 - 6*y**3 + 10*y**3 wrt y?
48
Let i(o) = o**2 - 6 - 4*o**2 + 5*o + 2*o**2 + 5. Let u be i(4). Find the third derivative of 4*r**5 - r**2 - u*r**6 - 4*r**5 wrt r.
-360*r**3
Suppose -2*f = 4*v, 8 = 3*f - v - v. Let z(i) be the second derivative of i**f - i + 0 + 0*i**4 + 0*i**3 + 1/20*i**5. Find the first derivative of z(s) wrt s.
3*s**2
Find the second derivative of 7*o**2 - 8*o + 0*o + 9*o wrt o.
14
Let k(g) be the first derivative of -g**2 + 0*g - 3 + 0*g**5 + 0*g**3 + 5/6*g**6 + 0*g**4. Find the second derivative of k(d) wrt d.
100*d**3
Let j(s) = 6 - 12*s**2 - 5*s**3 - 4 + 7. Let i(p) = -p**3 - 3*p**2 + 2. Let v(t) = 9*i(t) - 2*j(t). What is the third derivative of v(u) wrt u?
6
Let n(i) = 20*i**2 + 22*i - 8. Let o(d) = -d**2 - d. Let y(j) = 2*n(j) + 44*o(j). What is the derivative of y(r) wrt r?
-8*r
Let a(n) = 18*n + 3. Let y(v) = -v. Let h(g) = a(g) + 2*y(g). What is the first derivative of h(r) wrt r?
16
Let m(l) = 3*l + 2. Let a(u) = 6*u + 3. Let o(s) = 2*a(s) - 5*m(s). What is the derivative of o(i) wrt i?
-3
Suppose -r + 1 = 3, 0 = -5*n + 4*r + 28. Let l(h) = h + 9. Let q be l(-5). What is the first derivative of b**3 - q*b - 3 + n*b wrt b?
3*b**2
Let w be 24/16 + (-10)/(-4). Let j = -1 + 4. What is the second derivative of -j*u + 4*u - 4*u**w + u + u**4 wrt u?
-36*u**2
Let i(x) = x**3 + x**2 + x + 1. Let f(c) = 6*c**3 + c**2 + 4*c + 1. Let q(a) = -f(a) + i(a). What is the second derivative of q(z) wrt z?
-30*z
Let r(q) = q**4 + q**3 + q + 1. Let z(n) = 25*n**4 - 5*n**3 - 5*n + 45. Let u(l) = 5*r(l) + z(l). Find the first derivative of u(p) wrt p.
120*p**3
Let y(n) = 12*n**3 + 3*n + 4. Let g(s) = 11*s**3 + 2*s + 3. Let h(p) = 3*g(p) - 2*y(p). Differentiate h(u) wrt u.
27*u**2
Suppose 2*v - 5*f - 6 = 0, 3*v + f - 9 = -0*f. What is the third derivative of 9*l - v*l**2 - 9*l - l**5 wrt l?
-60*l**2
Suppose 6*y - 10 = -4*u + 4*y, 2*y = -2. What is the first derivative of -3 - 5 + 0*r**u + 4*r**3 + 3 wrt r?
12*r**2
Differentiate -2*j**3 + 2 - 1 + 5 with respect to j.
-6*j**2
Let x be (6/4)/(