- 1. Let r(v) be the third derivative of w(v). Find the first derivative of r(k) wrt k.
6*k
Let y = 53 + 9. Suppose 5*a - y = c, -5*a - c + 0*c + 68 = 0. What is the second derivative of 16*z + 2*z**5 - a*z - 4*z**5 wrt z?
-40*z**3
Let i be ((-9)/2)/(15/(-50)). Find the second derivative of -i*l + 12*l - 8*l**3 + 6*l wrt l.
-48*l
Suppose 3*r = 6*r - 48. Let f be 10/4*r/10. What is the second derivative of -5*w**4 - w + w**f + 4*w**4 + 2*w**5 wrt w?
40*w**3
Differentiate 5*m**3 + 91*m**2 - 46*m**2 - 45*m**2 - 31 with respect to m.
15*m**2
Let q(y) = -y**2 + 2*y + 1. Let b be 4 + 1/((-4)/8). Let p(t) = -3*t**2 + 7*t + 2. Let r(d) = b*p(d) - 7*q(d). Find the first derivative of r(i) wrt i.
2*i
Let i(p) = 13*p**3 + 3*p**2 + 16*p - 3. Let o(k) = 117*k**3 + 26*k**2 + 143*k - 26. Let y(r) = -26*i(r) + 3*o(r). Find the second derivative of y(m) wrt m.
78*m
Let p(b) be the third derivative of -1/2*b**3 + 0*b - 2/105*b**7 + 0*b**5 + 3*b**2 + 0*b**4 + 0 + 0*b**6. Find the first derivative of p(u) wrt u.
-16*u**3
Let b(s) be the first derivative of 5/7*s**7 - 9 + 0*s**6 + 0*s**4 + 3*s**3 + 0*s**2 + 0*s + 0*s**5. What is the third derivative of b(m) wrt m?
600*m**3
Let g(x) be the first derivative of x**6/30 - x**5/20 + 11*x**2/2 - 4. Let i(y) be the second derivative of g(y). What is the third derivative of i(d) wrt d?
24
Let d = 30 + -24. What is the third derivative of 6*t**d + t**5 + 137*t**2 - 135*t**2 - t**5 wrt t?
720*t**3
Find the third derivative of -13*u**2 - 24*u**3 - 9*u**2 + 7*u**2 wrt u.
-144
Suppose 0 = -3*y - 2*y + 10. What is the derivative of -y + a + a + 8 - 1 wrt a?
2
Let v(m) be the third derivative of m**7/10 - 2*m**3/3 - 11*m**2. Differentiate v(d) with respect to d.
84*d**3
Let w(d) be the first derivative of d**6/6 - 3*d**2/2 - 4*d + 3. Let q(s) be the first derivative of w(s). Differentiate q(u) wrt u.
20*u**3
What is the second derivative of 17*n**4 - 29*n + 5*n - 35*n**4 wrt n?
-216*n**2
Differentiate 44 + 23 + 8*a**2 - 30*a**2 - 26 with respect to a.
-44*a
Let y(a) be the third derivative of a**5/60 + 7*a**4/24 + a**2. Let t be y(-7). What is the second derivative of -f**5 + t*f**5 - 2*f + 0*f wrt f?
-20*f**3
What is the second derivative of 17*u**3 + 2*u - 17*u**3 - 9*u**4 - 3*u**4 wrt u?
-144*u**2
Let q(v) = 4*v + 2. Let d(y) = -y**2 - 2*y - 3. Let u be d(-2). Let g(l) = -3*l - 2. Let s(o) = u*q(o) - 2*g(o). What is the derivative of s(t) wrt t?
-6
Let b(z) = 7*z**3 - 36*z + 30. Let i(h) = -6*h**3 + 35*h - 29. Let l(k) = -5*b(k) - 6*i(k). Differentiate l(m) with respect to m.
3*m**2 - 30
Let o(x) = -35*x**4 + 3*x**3 - 6*x + 6. Let b(g) = -69*g**4 + 5*g**3 - 13*g + 10. Let y(i) = -3*b(i) + 5*o(i). What is the second derivative of y(l) wrt l?
384*l**2
Let k(u) be the third derivative of 29*u**6/120 - 59*u**3/6 - 2*u**2 - 13*u. What is the derivative of k(p) wrt p?
87*p**2
Let p(u) be the third derivative of u**9/84 + 3*u**5/20 + 3*u**2. What is the third derivative of p(g) wrt g?
720*g**3
Let n(l) = -5*l**3 + 2*l**2 - 7. Let x(v) = 3*v**3 - v**2 + 3. Let k(h) = -3*n(h) - 7*x(h). Find the third derivative of k(r) wrt r.
-36
Let d(n) be the first derivative of 0*n**3 - n**3 + 1 + 0*n**4 - 4 + n**4. Find the third derivative of d(c) wrt c.
24
Let o(w) = -33*w**3 + 3*w**2 + 26*w - 3. Let i(u) = -166*u**3 + 16*u**2 + 130*u - 16. Let v(j) = 3*i(j) - 16*o(j). What is the second derivative of v(x) wrt x?
180*x
Let g = 8 - 6. What is the third derivative of o**2 + 2*o**g + 3*o - 3*o + 2*o**5 wrt o?
120*o**2
Let p(o) = 3*o**3 + 3*o**2 + 3*o + 19. Let c(j) = -4*j**3 - 2*j**2 - 2*j - 18. Let q(m) = 3*c(m) + 2*p(m). Find the first derivative of q(v) wrt v.
-18*v**2
Let s(t) be the second derivative of 5*t**4/3 + 3*t**3/2 + 21*t. Find the second derivative of s(n) wrt n.
40
Let h(m) be the third derivative of 1/24*m**4 + 0*m**5 + 0*m - 1/105*m**7 + 0*m**3 + 0*m**6 + 0 - 3*m**2. What is the second derivative of h(d) wrt d?
-24*d**2
What is the second derivative of 3*v - 16*v**4 + 4*v + 21*v**4 wrt v?
60*v**2
Let k(o) be the first derivative of -o**6/40 + o**5/60 + 3*o**2/2 + 2. Let w(b) be the second derivative of k(b). What is the third derivative of w(f) wrt f?
-18
Let o(h) be the first derivative of -h**6/90 + h**5/60 + h**3 + 2. Let s(m) be the third derivative of o(m). Find the second derivative of s(n) wrt n.
-8
What is the first derivative of 1 + 7*m**2 - 6*m**2 - 5*m**2 wrt m?
-8*m
Differentiate 1 - 10 - 16*g**4 + 15*g**4 with respect to g.
-4*g**3
Let d(g) be the third derivative of -g**5/60 - g**4/6 - 5*g**3/6 - g**2. Let x(k) be the first derivative of d(k). Find the first derivative of x(p) wrt p.
-2
Let y(z) be the second derivative of 3*z**5/20 - z**3 - 2*z. Let q(o) = 2*o**3 - 5*o. Let a(d) = 4*q(d) - 3*y(d). Find the second derivative of a(w) wrt w.
-6*w
What is the derivative of -43*b**3 + 35*b**3 + 1 + 1 wrt b?
-24*b**2
What is the derivative of -68*p**4 + 51 - 17*p**3 + 4*p**3 + 13*p**3 wrt p?
-272*p**3
Let z(v) = -v**3 - 12*v. Let y(b) = 3*b. Let a be -6 - -6 - (2 - 0). Let f(g) = a*z(g) - 9*y(g). What is the second derivative of f(h) wrt h?
12*h
Let a(c) = -2*c - 8. Let t be a(-5). Let o = 0 + 2. Find the third derivative of -2*n**t - o*n**2 + 2*n**4 + 8*n**2 wrt n.
48*n
Let q(u) be the first derivative of -u**6/6 - u**3/6 + 5*u + 2. Let n(g) be the first derivative of q(g). Find the second derivative of n(s) wrt s.
-60*s**2
Let s = 12 - 9. Differentiate -9*j**4 - 2*j**4 - s + 2*j**4 with respect to j.
-36*j**3
Let o(w) = 13*w**4 + 6*w**3 + 2*w + 6. Let b(g) = -g**4 - g**3 - g - 1. Let y(f) = 6*b(f) + o(f). What is the second derivative of y(c) wrt c?
84*c**2
Let m(w) = -w - 1. Let f(g) = -g**3 - 22*g - 2. Let u(p) = -f(p) - 6*m(p). Differentiate u(q) wrt q.
3*q**2 + 28
Suppose -4*n + 34 + 34 = 0. What is the third derivative of -a**4 + a**4 - 15*a**6 - 7*a**2 + n*a**6 wrt a?
240*a**3
Find the second derivative of 10*a - 3*a**3 - 2*a**3 - 3*a wrt a.
-30*a
Let y(c) be the second derivative of c**3/6 + c**2/2 - 2*c. Let z = 17 + -24. Let b(n) = 3*n + 3. Let l(a) = z*y(a) + 2*b(a). Differentiate l(d) wrt d.
-1
What is the second derivative of 2*s**5 - 13 + 0*s + 3*s + 13 wrt s?
40*s**3
Let a(x) be the first derivative of -2*x**7/21 + x**3/2 - 3*x - 4. Let r(s) be the first derivative of a(s). Find the second derivative of r(z) wrt z.
-80*z**3
Let f(i) = -i**3 - i**2 + i - 1. Let j(h) = h**4 + 9*h**3 + 9*h**2 - 9*h + 11. Let s(x) = 18*f(x) + 2*j(x). Differentiate s(r) with respect to r.
8*r**3
Let n(f) = f**4 + f**3 + f**2. Let y(j) = -8*j**4 - 5*j**3 - 5*j**2 - 4. Let u(t) = 5*n(t) + y(t). Differentiate u(p) with respect to p.
-12*p**3
Let h(o) be the second derivative of 2*o**7/7 - 5*o**3/6 - 2*o. Find the second derivative of h(x) wrt x.
240*x**3
Let b(p) be the first derivative of -p**8/1680 + 7*p**5/120 - p**3 + 9. Let v(s) be the third derivative of b(s). Find the second derivative of v(y) wrt y.
-12*y**2
Let u(f) be the first derivative of -13*f**4/4 + 2*f**2 + 12. Find the second derivative of u(n) wrt n.
-78*n
Let n(y) = -28*y**2 + 53*y + 3. Let o(v) = 84*v**2 - 159*v - 8. Let f(d) = 8*n(d) + 3*o(d). Find the second derivative of f(j) wrt j.
56
Let x(t) = -21*t**3 - 19*t**2 - 3*t + 3. Let m(z) = -z + 1. Let a(g) = 3*m(g) - x(g). Find the third derivative of a(p) wrt p.
126
Suppose 0 = 3*g + 43 - 55. Let l(c) be the third derivative of -1/6*c**3 + 0*c**g + 0 + 1/30*c**5 + 0*c + 3*c**2. Differentiate l(s) with respect to s.
4*s
Suppose 7 = 2*c - 1. Find the second derivative of -11*v**2 + 2*v - v**c + 11*v**2 wrt v.
-12*v**2
Let i(f) = -f**3 + f**2 + f - 1. Let v(g) = 2*g**3 + 3*g**2 + 3*g - 13. Let y(x) = 3*i(x) - v(x). What is the first derivative of y(n) wrt n?
-15*n**2
Suppose -2*f + 5*f = 9. Let i be (-20)/15*f/(-2). What is the derivative of 4 + i*c**3 - 2*c**3 - c**3 wrt c?
-3*c**2
Suppose -5*p + 4 + 6 = 0. Let k(d) be the second derivative of 1/6*d**3 - 2*d + 0 + 0*d**p + 1/6*d**4. What is the second derivative of k(t) wrt t?
4
Find the second derivative of 9*f - 222 + 15*f**5 + 222 wrt f.
300*f**3
Let f = 22 + -17. What is the third derivative of -f*q**5 + 0*q**2 - q**5 - 7*q**2 wrt q?
-360*q**2
Let t be 0/(-1*(-1)/(-1)). Let w(q) be the second derivative of -1/10*q**5 + t*q**3 - 1/2*q**2 + 2*q + 0 + 0*q*