- 6*m(k). Differentiate j(c) wrt c.
2
Let x(h) = 19*h**3 - 9*h**2 - 18*h. Let c = -1 - -5. Let n(q) = -9*q**3 + 4*q**2 + 9*q. Let g(o) = c*x(o) + 9*n(o). What is the second derivative of g(t) wrt t?
-30*t
Let g(f) be the first derivative of -f**9/1008 - f**5/60 - 2*f**3/3 - 3. Let d(r) be the third derivative of g(r). What is the second derivative of d(o) wrt o?
-60*o**3
Suppose -13 = -0*b - b. Suppose 3*f + 2*a = 9, -5*f + 2*a + b = 6*a. Find the second derivative of -3*l - 4*l + l**5 + f*l wrt l.
20*l**3
Let v(h) = -3 + 3 - 2*h**2 + h + 2 + 0. Let j(i) = 3*i**2 - i - 5. Let p(x) = 2*j(x) + 5*v(x). What is the second derivative of p(q) wrt q?
-8
Suppose 2*m = -3*m. What is the derivative of -25 + 27 - 2*s + m*s wrt s?
-2
Let g(q) = 4*q**2 - 4*q - 4. Let v(b) = -b**3 - 5*b**2 + 4*b + 5. Let i(w) = 5*g(w) + 4*v(w). What is the second derivative of i(f) wrt f?
-24*f
Let k(v) be the third derivative of -v**5/15 + v**4/12 - 4*v**2. What is the second derivative of k(s) wrt s?
-8
Let b(w) = -22*w**3 + 4*w**2 + 13*w + 4. Let f(g) = 23*g**3 - 3*g**2 - 12*g - 3. Let q(i) = 3*b(i) + 4*f(i). What is the second derivative of q(d) wrt d?
156*d
Suppose l - 1 = -0*l. Let d(r) be the first derivative of 0*r**3 + 0*r**4 + 2*r - l - 1/5*r**5 + 0*r**2. What is the derivative of d(n) wrt n?
-4*n**3
Let a(o) be the third derivative of -7*o**6/120 - o**5/15 - 5*o**2. Find the third derivative of a(v) wrt v.
-42
Suppose -4*p - 2*w - 2 = 0, 14 = p + 4*w - 3. Let b = -2 - p. Differentiate 0 - 3 + q**2 + 0*q**2 + b wrt q.
2*q
Let t(p) = 4. Let u(d) be the third derivative of d**4/24 + d**3/6 + 3*d**2. Let x(z) = -t(z) + u(z). What is the first derivative of x(c) wrt c?
1
Let w(k) be the second derivative of k**5/60 - k**4/8 - k**3/6 - k. Let n(u) be the second derivative of w(u). Differentiate n(j) wrt j.
2
Suppose w - 21 = -19. Let g(f) be the third derivative of 0*f - 1/24*f**4 + 0*f**3 + 0*f**5 + 0 - w*f**2 + 1/60*f**6. Find the second derivative of g(r) wrt r.
12*r
Let m(w) be the second derivative of 0 + 3*w - 1/14*w**7 - 1/4*w**4 + 0*w**5 + 0*w**6 + 0*w**2 + 0*w**3. What is the third derivative of m(g) wrt g?
-180*g**2
Suppose 4*x + 8 = -8. Let i be 6/(-9)*30/x. What is the second derivative of i*p**5 - 7*p**5 - 2*p + p**5 wrt p?
-20*p**3
Find the third derivative of 195*y**3 - 195*y**3 - 29*y**2 + 5*y**2 + 34*y**4 wrt y.
816*y
Let x(n) be the second derivative of -n**6/3 + n**2/2 + 12*n. Differentiate x(c) wrt c.
-40*c**3
Let f(j) be the first derivative of 3*j**2/2 - j + 1. Let g be f(1). What is the first derivative of -4 + g + 3 - 2*x wrt x?
-2
Let d(q) be the first derivative of -2*q**5 - 19*q**2/2 + 19. Find the second derivative of d(h) wrt h.
-120*h**2
What is the third derivative of -6*o**6 - 15*o**6 - 39*o**2 - 8*o**6 + o**6 wrt o?
-3360*o**3
Let v(s) be the first derivative of -2*s**2 + 2*s + 5. Differentiate v(p) wrt p.
-4
Let l(m) be the first derivative of 8*m**3 + 3*m - 27. Find the first derivative of l(b) wrt b.
48*b
Let t(d) be the third derivative of -d**9/28 + 4*d**5/15 + 20*d**2. Find the third derivative of t(j) wrt j.
-2160*j**3
Suppose 2*w = 4*t + 28, 5*w - 2*w - 3*t = 27. What is the second derivative of 2*c**w + c**3 - 3*c**3 + 2*c**3 + 4*c wrt c?
24*c**2
Differentiate -393*v**2 + 393*v**2 + 1 + 9*v**3 wrt v.
27*v**2
Let n(q) = 7*q**3 + 12*q. Let m(v) be the third derivative of -v**6/120 - v**4/24 + v**2. Let t(k) = 6*m(k) + n(k). Find the second derivative of t(d) wrt d.
6*d
Find the second derivative of s - 24*s**3 - s**3 - 14*s wrt s.
-150*s
Suppose 0 = -6*k + k + k. Let m(w) be the second derivative of w + 0 + 1/2*w**2 + 0*w**4 + k*w**3 + 0*w**5 - 1/30*w**6. Differentiate m(p) wrt p.
-4*p**3
Let l(q) = -q**2 + 5*q + 2. Let s(g) = -g**2 + 5*g + 3. Let o(m) = 3*l(m) - 2*s(m). What is the second derivative of o(p) wrt p?
-2
Suppose 1 + 5 = 2*j. Find the second derivative of 2*v + v + 6*v**j - 5*v**3 wrt v.
6*v
Let w(k) = -k**2 + 9*k - 10. Let z be w(2). Let o(s) be the second derivative of 4*s - s**2 + 0 + 0*s**3 + 1/6*s**z. What is the derivative of o(y) wrt y?
4*y
Let x(w) = -w - 2. Let r(u) = -17*u**2 - 35*u - 4. Let n(f) = -r(f) + 2*x(f). Find the second derivative of n(q) wrt q.
34
Let i(n) = -17*n**3 + 2*n**2 - 13. Let a = 7 - 13. Let s(c) = 8*c**3 - c**2 + 6. Let g(r) = a*i(r) - 13*s(r). What is the third derivative of g(o) wrt o?
-12
Find the second derivative of -2*y - 5 - 8*y**5 + 3 + 2 wrt y.
-160*y**3
Let x(i) = 5*i - 11*i + 5 + 2 - 7*i**2 - i**3. Let y(s) = s**3 + 5*s**2 + 4*s - 5. Let r(o) = 5*x(o) + 7*y(o). What is the second derivative of r(m) wrt m?
12*m
Let o be 15/(-6)*-2 - 0. Find the first derivative of o*k**3 + 6*k**3 - 5*k**3 - 2 wrt k.
18*k**2
Let p(c) = -7*c**2 - 7*c. Let f(h) = -14*h**2 - 15*h. Suppose -2*g + 0 = -8. Let k(i) = g*f(i) - 9*p(i). What is the second derivative of k(z) wrt z?
14
Let v(f) = -f - 4. Suppose 2*j + 5*c + 36 = -6, -4*j - 3*c = 56. Let d(n) = -4*n - 21. Let i(m) = j*v(m) + 2*d(m). What is the derivative of i(b) wrt b?
3
Let d(b) = -b. Let k(a) = -5*a + 2. Let q(l) = 2*d(l) + k(l). Let t(g) = 15*g - 4. Let j(x) = -9*q(x) - 4*t(x). Find the first derivative of j(o) wrt o.
3
Let g(p) be the first derivative of 0*p + 0*p**3 - 1 - 3/2*p**2 - 3/4*p**4. What is the second derivative of g(l) wrt l?
-18*l
Suppose 0 = -4*y + 36 - 8. Find the second derivative of -y*s - 5*s**5 - 2*s**5 + 3*s**5 wrt s.
-80*s**3
Let d(h) be the second derivative of -h**5 - 13*h**4/12 - 21*h. What is the third derivative of d(f) wrt f?
-120
Let b(i) be the first derivative of -3*i**4/4 + 2*i**3 + 3. What is the third derivative of b(g) wrt g?
-18
What is the first derivative of 2061 - 6*y**3 - 2095 - 37*y**3 wrt y?
-129*y**2
Let v(p) = 2*p**2 + 3*p + 4. Let q = 5 - 9. Let l(t) = -1. Let j(n) = q*l(n) - v(n). What is the second derivative of j(h) wrt h?
-4
Suppose 1 = -m + 5. Find the third derivative of -o**2 + 0*o**3 + m*o**2 + 2*o**3 - 4*o**3 wrt o.
-12
Let c(d) be the first derivative of 0*d**5 + 0*d**2 + 0*d + 1/3*d**3 + 0*d**6 + 3 + 0*d**4 - 4/7*d**7. Find the third derivative of c(j) wrt j.
-480*j**3
Let h be 3 + (3 - 7) + 3. What is the third derivative of -5*m**2 + 4*m**h + 3*m**2 + 4*m**6 wrt m?
480*m**3
Let c(g) = -5 - 1 - g + 3. Let p be c(-5). Differentiate 5 - 5*t - p + 3*t wrt t.
-2
Let t(n) be the third derivative of n**6/4 + n**5/30 + 11*n**3/2 - 13*n**2 + n. What is the first derivative of t(j) wrt j?
90*j**2 + 4*j
Let l(g) = 12*g**2 + 2*g + 3. Let y(t) = 60*t**2 + 11*t + 14. Let h(x) = 11*l(x) - 2*y(x). Find the first derivative of h(c) wrt c.
24*c
Let l = -45/2 - -24. Let m(r) be the second derivative of 0 + 2*r - 1/3*r**3 - l*r**2. What is the derivative of m(p) wrt p?
-2
Let u(j) = j**2 - 4*j + 6. Let t be u(5). What is the third derivative of a**2 + 8*a**4 + a**2 - t*a**4 + 8*a**4 wrt a?
120*a
Let i(k) be the third derivative of k**6/120 - k**5/15 + 4*k**2. What is the third derivative of i(h) wrt h?
6
Let b = -19 - -23. Let d(x) be the second derivative of x + 3/2*x**2 + 0 + 0*x**b + 0*x**3 - 1/10*x**5. Differentiate d(q) with respect to q.
-6*q**2
Let w(j) = 21*j**3 - 5*j**2 - 19. Let d(g) = 32*g**3 - 8*g**2 - 28. Let q(a) = 5*d(a) - 8*w(a). Differentiate q(i) wrt i.
-24*i**2
Let y be 0/(-1 - (-1 - -2)). Let v(c) be the second derivative of y*c**3 - 2*c - 1/12*c**4 + 1/2*c**2 + 0. Find the first derivative of v(i) wrt i.
-2*i
Let l(f) = 2*f + 1. Suppose -5*v + 14 = -z, -2*z + 2*v + v = 7. Let x be l(z). Differentiate -1 + 0*t + 0*t - 2*t**x wrt t.
-6*t**2
Let a(r) be the first derivative of -13*r**4/2 + 13*r**2/2 + 10. Find the second derivative of a(n) wrt n.
-156*n
Let k(f) be the first derivative of -1 + f**3 + 0*f - 1/2*f**4 + 0*f**2. Find the third derivative of k(b) wrt b.
-12
Let x(f) = 4*f**4 - 2*f - 6. Let j be (20/5)/(-4 + 2). Let w(d) = 19*d**4 - 11*d - 30. Let z(c) = j*w(c) + 11*x(c). Differentiate z(b) wrt b.
24*b**3
Let g(l) be the third derivative of l**8/280 - l**4/12 - l**3/6 - l**2. Let t(c) be the first derivative of g(c). What is the derivative of t(f) wrt f?
24*f**3
Let r(w) be the third derivative of w**6/120 + w**4/6 + w**3/6 - w**2. Let n(k) be the first derivative of r(k). What is the first derivative of n(q) wrt q?
6*q
What is the second derivative of -4*m**4 - m