(i). What is the first derivative of p(w) wrt w?
30*w**2
Let j(f) = -21*f**3 - 27*f**2 - 5*f. Let k(l) = 43*l**3 + 54*l**2 + 9*l. Let d(m) = -7*j(m) - 4*k(m). What is the third derivative of d(y) wrt y?
-150
What is the third derivative of -4*m**5 - 118*m**6 - 32*m**2 + 4*m**5 + 98*m**6 wrt m?
-2400*m**3
What is the third derivative of -9*y**4 + 5*y**2 - 10*y**4 + 18*y**4 wrt y?
-24*y
Let d(a) = -a**3 - 5*a**2 - 5*a - 1. Let m be d(-4). Suppose -5*z = -2 - m. Find the first derivative of -2 - z + 2*y**4 + 4 wrt y.
8*y**3
Let r(j) be the third derivative of -j**7/210 - j**3/2 - j**2. Differentiate r(y) wrt y.
-4*y**3
Differentiate 28*a**3 + 32 + 24 - 28*a**3 - 4*a**4 wrt a.
-16*a**3
Let l(f) be the first derivative of -2*f**2 - 17*f - 40. Find the first derivative of l(z) wrt z.
-4
Let b(c) = -c**3 - 6*c**2 - 5*c + 3. Let m be b(-5). Find the first derivative of -2*q - 4 + 18*q**3 + 2*q - 16*q**m wrt q.
6*q**2
Let v = 0 + 0. Let b(g) be the third derivative of -1/105*g**7 + v*g + 1/2*g**3 + 0*g**6 + 0 + 2*g**2 + 0*g**5 + 0*g**4. Differentiate b(n) wrt n.
-8*n**3
Suppose -5*o + 14 = 2*j, -4*o - 5*j = -5*o + 19. What is the second derivative of 10*n + 0 - 7*n - 9*n**o + 0 wrt n?
-108*n**2
Let a(s) = -20*s**3 + 12*s**2 + 2*s + 6. Let y(v) = v**2 + v + 1. Let k(d) = -a(d) + 6*y(d). What is the third derivative of k(b) wrt b?
120
Let v(q) = 19*q**3 - 8*q**2 - 8*q + 13. Let t(b) = 6*b**3 - 3*b**2 - 3*b + 4. Let o(h) = 8*t(h) - 3*v(h). Differentiate o(u) with respect to u.
-27*u**2
Let g(o) be the first derivative of 22*o**3/3 + 14*o + 5. Differentiate g(p) with respect to p.
44*p
Let f(u) be the first derivative of 0*u - 1/3*u**3 - 2 + 3/2*u**2. What is the second derivative of f(m) wrt m?
-2
Let s(b) = 5*b**4 + 3*b**3 + 6*b. Let q(f) = -6*f**4 - 2*f**3 - 5*f. Let i(o) = -3*q(o) - 2*s(o). Find the second derivative of i(r) wrt r.
96*r**2
Suppose -4*q + 24 = -0*q. Let i(l) be the third derivative of 1/120*l**q + 0*l**4 + 0 - 1/6*l**3 + 0*l + 0*l**5 + l**2. Find the first derivative of i(a) wrt a.
3*a**2
Let b(l) = -4*l**4 + 11*l**2 + 11*l - 34. Let r(a) = a**4 - 4*a**2 - 4*a + 11. Let q(j) = -4*b(j) - 11*r(j). Differentiate q(s) wrt s.
20*s**3
Let k(r) = -r**3 - r + 1. Let t(i) = 2*i**3 + 4*i + 2. Let m(h) = -2*k(h) + t(h). What is the second derivative of m(j) wrt j?
24*j
Let c(p) = -3*p**6 - 4*p**5 - 23*p**2 - 4. Let n(j) = 2*j**6 + 5*j**5 + 24*j**2 + 5. Let u(g) = 5*c(g) + 4*n(g). What is the third derivative of u(x) wrt x?
-840*x**3
Suppose -2*f - f = -6. What is the second derivative of 6*g - 5*g + f*g**4 + g**4 wrt g?
36*g**2
What is the first derivative of -26 + 22*n**4 + 15*n**4 + 0*n**4 wrt n?
148*n**3
Differentiate -7*j**2 - 19 - 2*j**2 - 42*j**2 with respect to j.
-102*j
Suppose g = -2 + 4. Find the second derivative of -k**2 + k**2 + k**g + 2*k + 2*k wrt k.
2
Suppose 0 = -7*j + 4*j + 6. Find the third derivative of -8*u**j + 11*u**3 - 6*u**3 - 5*u**3 + 8*u**5 wrt u.
480*u**2
Suppose -5*d = -2*a + 9, 3 + 9 = 5*a - 2*d. Find the first derivative of 1 - 3*k**3 - 4 + a + 2 wrt k.
-9*k**2
Let o(i) be the second derivative of 5*i**4/6 + 13*i**3/6 + 4*i. Find the second derivative of o(l) wrt l.
20
Let i(a) = a**4 - 15*a**3 + 8*a - 192. Let p(y) = -5*y**3 + 3*y - 64. Let g(v) = -3*i(v) + 8*p(v). Differentiate g(r) with respect to r.
-12*r**3 + 15*r**2
Let u = 3 + -1. What is the second derivative of u*k + k - k - 3*k**2 wrt k?
-6
Let a(o) = -2*o**3 + 2*o + 15. Let t(i) = 10*i**3 - 11*i - 74. Let x(y) = -33*a(y) - 6*t(y). What is the derivative of x(p) wrt p?
18*p**2
Let u(y) = -24*y**3 - 9*y**2 - 9*y + 7. Let v(x) = -6*x**3 - 2*x**2 - 2*x + 2. Let w(a) = -2*u(a) + 9*v(a). Find the first derivative of w(i) wrt i.
-18*i**2
Let r(h) = -h**2 + h**2 - 8*h + h**2. Let y(g) = 7*g. Let o(c) = -2*r(c) - 3*y(c). Find the second derivative of o(q) wrt q.
-4
Suppose 3*c + 0*c - 6 = 0. Let g be -5*(c/(-5) + 0). Find the second derivative of a**5 - 6*a**5 + 3*a**5 + g*a wrt a.
-40*a**3
Let d(u) = 5*u + 11. Let q(v) = 5*v + 10. Let b(r) = 3*d(r) - 2*q(r). Find the first derivative of b(m) wrt m.
5
Let w(o) be the third derivative of -5/24*o**4 - 3*o**2 + 0*o - 1/2*o**3 + 0. What is the first derivative of w(z) wrt z?
-5
Let t(g) = -6*g**2 - 6*g - 7. Suppose -3*w = 15 + 3. Let r(k) = 18*k**2 + 17*k + 21. Let n(z) = w*r(z) - 17*t(z). Find the first derivative of n(y) wrt y.
-12*y
Let d(g) = -5*g**3 + 3*g**2 - 10*g - 3. Let l(x) = -x**2 + x + 1. Let a(w) = d(w) + 3*l(w). Find the second derivative of a(n) wrt n.
-30*n
Suppose a - 8 = -3*a. Suppose -3*h + 9 = 3*k - 3, -2*k + a = 5*h. Find the third derivative of 3*g**k + 4*g**4 + 2*g**2 - 3*g**4 - g**4 wrt g.
360*g**3
Suppose -2*w + 5*m = -w - 14, 4*w + 5*m = 6. Suppose -10 = w*a - 6*a. Find the third derivative of -4*b**5 + 5*b**5 - b**2 - 3*b**a wrt b.
-120*b**2
Let s(c) = -11*c**5 + 19*c - 5. Let v(h) = -16*h**5 + 28*h - 7. Let d(m) = 7*s(m) - 5*v(m). What is the second derivative of d(x) wrt x?
60*x**3
Let r(u) be the first derivative of u**10/1680 + u**6/360 - u**3 - 7. Let n(o) be the third derivative of r(o). Find the third derivative of n(f) wrt f.
360*f**3
Let s = 12 + -2. Suppose -2*u = -7*u + s. Differentiate 2*k - u*k - 2 + k**2 wrt k.
2*k
Let x(n) = n**3 + n**2 - n - 1. Let i(a) = -9*a**3 - a**2 + a. Suppose -2*w = 5*y + 3, 4*w + 0 = -2*y + 2. Let h(d) = w*x(d) + i(d). Differentiate h(r) wrt r.
-24*r**2
Suppose -2*t + 10 + 0 = 0. What is the second derivative of -2*n**4 - t*n - 3*n + 4*n - 2*n**4 wrt n?
-48*n**2
Let l(h) = -9*h**4 + h**3 - 5*h**2 - 5*h + 56. Let g(j) = -10*j**4 + j**3 - 6*j**2 - 6*j + 56. Let v(u) = -5*g(u) + 6*l(u). Differentiate v(c) wrt c.
-16*c**3 + 3*c**2
Let j(p) = -3*p**3 - 5*p - 6. Let g(s) = s. Let v(a) = -5*g(a) - j(a). Find the first derivative of v(o) wrt o.
9*o**2
Let d(j) be the third derivative of 11*j**8/168 - j**5/60 + 20*j**2. What is the third derivative of d(a) wrt a?
1320*a**2
Let d = -42 - -44. Let p(u) be the first derivative of 0*u**2 + d + 0*u**4 - 2/3*u**3 - 2/5*u**5 + 0*u. What is the third derivative of p(k) wrt k?
-48*k
Let w(m) be the first derivative of 29*m**4/4 - 2*m - 11. Differentiate w(x) with respect to x.
87*x**2
Differentiate 16*n**3 + 8*n**3 + 17 + 22*n**3 wrt n.
138*n**2
Suppose -w + 0*w = 0. Differentiate 2*m + 1 + w*m + 2 wrt m.
2
Let x(v) be the first derivative of 0*v**3 + 0*v**4 + 3 + 2/3*v**6 - 9/2*v**2 + 0*v**5 + 0*v. What is the second derivative of x(m) wrt m?
80*m**3
Let v(z) be the third derivative of 5*z**4/24 + 15*z**3/2 + 37*z**2. What is the derivative of v(j) wrt j?
5
Let v = 8 + -6. What is the third derivative of -5*f - 2*f**v + 4*f**4 + 5*f wrt f?
96*f
Let k(s) be the third derivative of 0 - 1/30*s**5 + 0*s**4 + 0*s + 2*s**2 - 1/3*s**3. Differentiate k(r) wrt r.
-4*r
Let y(x) = x**2. Let g(h) = -4*h**2 + 26*h - 13. Let l(v) = g(v) + 6*y(v). What is the derivative of l(z) wrt z?
4*z + 26
Let i be 4/6 - (-43)/3. Suppose -4*l = l - i. Find the second derivative of 2*c + 2*c**3 - c - l*c wrt c.
12*c
Let r be 6*((-6)/(-9))/1. Let d be (r/5)/(4/30). What is the derivative of 5 + v**2 - v**2 + v**4 - d wrt v?
4*v**3
Let n = 5/43 + 28/129. Let u(v) be the third derivative of -v**2 + n*v**3 - 1/30*v**5 + 0 + 0*v + 0*v**4. What is the first derivative of u(g) wrt g?
-4*g
Suppose 0 = -0*t - 2*t. Suppose -4 - 7 = -2*a - 3*c, -3*a + 2*c - 3 = 0. Find the second derivative of -1 - 2*n + t*n + 3*n**2 + a wrt n.
6
Let n(l) be the second derivative of -l**9/168 - l**5/30 - l**2 - 3*l. Let o(g) be the first derivative of n(g). What is the third derivative of o(r) wrt r?
-360*r**3
Let u(f) be the first derivative of -f**3/3 - 5*f - 1. Find the first derivative of u(b) wrt b.
-2*b
Let z(o) be the first derivative of 2*o**5 - 34*o - 40. Find the first derivative of z(p) wrt p.
40*p**3
What is the first derivative of 10*x**3 - 25*x**2 - 3 + 25*x**2 wrt x?
30*x**2
Let v(o) = 3*o**3 - 2*o - 6. Let m(t) = -2*t**3 + 3*t + 7. Let h(s) = 2*m(s) + 3*v(s). What is the first derivative of h(j) wrt j?
15*j**2
Let h(t) be the first derivative of 3*t**8/56 + t**4/3 + 7*t - 2. Let n(k) be the first derivative of h(k). What is the third derivative of n(c) wrt c?
360*c**3
Differentiate 39*z**3 + 10*z**2 - 23*z**2 + 13*z**2 - 5 with respect to z.
117*z**2
Let