derivative of k(s) wrt s?
20*s
Let c(r) = -7*r**3 - 11*r**2 - 4. Let u(d) = -14*d**3 - 21*d**2 - 7. Let f(b) = -7*c(b) + 4*u(b). What is the third derivative of f(l) wrt l?
-42
Let s(k) = 8*k**2 - 22*k. Let n(a) = -a**2 + a. Let y(i) = -3*n(i) - s(i). What is the second derivative of y(u) wrt u?
-10
Let i(d) be the first derivative of -9*d**2/2 - 6*d + 7. What is the derivative of i(r) wrt r?
-9
Let m(x) be the third derivative of -x**5/60 - x**4/12 - 3*x**2. Find the second derivative of m(i) wrt i.
-2
Suppose -2*n + 0*n = -8. Let r(k) be the first derivative of 2*k + 0*k**2 - 1/5*k**5 + 0*k**3 + 1 + 0*k**n. What is the derivative of r(z) wrt z?
-4*z**3
Let m(y) = -y**3 - 11*y**2 + y + 13. Let g be m(-11). What is the third derivative of -6*r + 6*r + g*r**5 + 2*r**2 wrt r?
120*r**2
Let o(k) = 28*k + 37. Let m(c) = 56*c + 74. Let t(f) = -4*m(f) + 9*o(f). Differentiate t(h) with respect to h.
28
Let d(n) = -17*n**5 - 18*n**2 - 6*n + 6. Let f(v) = -v**5 + v - 1. Let p(k) = -d(k) - 6*f(k). Find the third derivative of p(q) wrt q.
1380*q**2
Let x(n) be the first derivative of n**6/60 - n**5/30 - n**3/3 - 2. Let m(j) be the third derivative of x(j). What is the second derivative of m(v) wrt v?
12
Let z(p) be the first derivative of -5*p**6/6 - 5*p**2/2 + 22. Find the second derivative of z(g) wrt g.
-100*g**3
Let w(j) = j**3 + 6*j**2 + 6*j + 8. Let y be w(-5). Find the third derivative of o**3 + 0*o**3 + 0*o**3 - y*o**2 + 0*o**2 wrt o.
6
Find the first derivative of 9 + r**3 - 7 - 11 wrt r.
3*r**2
Let p(o) be the first derivative of -2*o**5/5 + 2*o**3/3 - 5. What is the third derivative of p(v) wrt v?
-48*v
Let n(b) be the first derivative of 6*b + 0*b**2 - 5 - 5/3*b**3. Differentiate n(p) with respect to p.
-10*p
Let p(r) = -10*r**5 - 5*r**3 + 3*r**2 - 5*r. Let j(v) = 9*v**5 + 4*v**3 - 2*v**2 + 4*v. Let f(w) = -5*j(w) - 4*p(w). What is the third derivative of f(b) wrt b?
-300*b**2
Let j(l) be the first derivative of l**6/24 + 7*l**4/24 - 7*l**2/2 - 6. Let m(v) be the second derivative of j(v). What is the second derivative of m(f) wrt f?
30*f
What is the third derivative of -5*x**2 - 41*x + 6*x**4 + 41*x + 10*x**4 wrt x?
384*x
Let i be 2 + -1 + -1 + 0. Suppose -5*g + 10 = -i. Find the third derivative of f**4 - 3 + 5 + 3*f**g - 2 wrt f.
24*f
Let n(m) = -m**3 + 11*m**2 - 9*m + 2. Let t be n(10). Suppose -3*q + t = q. Differentiate 2 - 2*a**3 + 4*a**3 + 0 - 5*a**q with respect to a.
-9*a**2
Differentiate -2*b - 2 + 2*b + 3*b + b with respect to b.
4
Find the third derivative of n**4 + 2*n**6 + 0*n**2 - n**4 + 3*n**2 wrt n.
240*n**3
Let r(l) = 351*l - 416. Let a(d) = 11*d - 13. Let h(v) = -195*a(v) + 6*r(v). Find the first derivative of h(m) wrt m.
-39
Let d(m) = -3*m + 5. Let p(h) = -6*h + 11. Let a(o) = -7*d(o) + 4*p(o). Differentiate a(r) wrt r.
-3
Let z(v) = -4*v**5 - 2*v**4 + 2*v**2 - 4*v - 2. Let g(j) = j**5 - j**4 + j**2 - j - 1. Let q(b) = 2*g(b) - z(b). What is the second derivative of q(i) wrt i?
120*i**3
Let l(b) be the second derivative of 0*b**3 + 0*b**5 + 0*b**4 - 7*b - 3/2*b**2 + 0 + 1/6*b**6. Find the first derivative of l(n) wrt n.
20*n**3
What is the second derivative of 61*p + 47*p**3 + 39*p**5 + 44*p**3 - 91*p**3 wrt p?
780*p**3
Let b(v) be the first derivative of 4 - 4 + v**3 - 7 + 3*v. Differentiate b(s) wrt s.
6*s
Suppose f - 1 - 2 = 0. Find the second derivative of 3*z**3 + 3*z - z**4 + z**f - 4*z**3 wrt z.
-12*z**2
Let m(b) be the third derivative of -5*b**9/252 + 31*b**5/60 - 36*b**2. What is the third derivative of m(a) wrt a?
-1200*a**3
Let s = -155 - -311/2. Let b(y) be the first derivative of -3*y - 2 - s*y**2. Find the first derivative of b(n) wrt n.
-1
Let w(s) = 2*s**2 + 6*s + 10. Let q(g) = 3*g**2 + 5*g + 9. Let i(h) = 6*q(h) - 5*w(h). Differentiate i(m) with respect to m.
16*m
What is the third derivative of 6 - 6 - 7*g**4 + 9*g**2 - 7*g**2 wrt g?
-168*g
Let v(z) be the third derivative of 2*z**2 + 1/60*z**6 + 0 + 0*z + 0*z**5 + 1/12*z**4 + 0*z**3. Find the second derivative of v(a) wrt a.
12*a
Let g(b) = 3*b**3 - 2. Let k be (-4)/5*(-120)/16. Let m(z) = -2*z**3 + 2. Let h(s) = k*g(s) + 5*m(s). Differentiate h(v) wrt v.
24*v**2
Let p(t) = -t**2 - 6*t - 2. Let f be p(-4). Suppose 4 = 5*a - f. Find the third derivative of x**3 + 0*x**3 - 2*x**3 + a*x**2 wrt x.
-6
Let z(v) be the third derivative of -v**6/20 - 5*v**4/24 + 5*v**2. What is the second derivative of z(d) wrt d?
-36*d
Let n(m) be the first derivative of -7*m**4/24 - m**3 + 9*m**2/2 - 3. Let v(p) be the second derivative of n(p). What is the derivative of v(r) wrt r?
-7
Let h(r) be the second derivative of 0 + 0*r**4 + r - 1/10*r**5 + 1/6*r**3 + 0*r**2. What is the second derivative of h(a) wrt a?
-12*a
Let f = 5 - 1. Find the second derivative of 0*c**5 - 3*c**5 + 5*c**5 - f*c wrt c.
40*c**3
Let o(c) = -c + 8. Let k be o(8). Let z(r) be the first derivative of 2/3*r**3 - 3*r + k*r**2 - 2. Differentiate z(b) wrt b.
4*b
Let r = 108 - 104. Let q(k) be the second derivative of 1/6*k**4 + 3/20*k**5 + r*k + 0 + 0*k**2 + 0*k**3. What is the third derivative of q(v) wrt v?
18
Suppose 18 - 6 = -4*z - 3*k, 0 = -z - 2*k - 8. What is the second derivative of j**2 + 2*j**2 + z*j**2 - j wrt j?
6
Suppose -k = -5*k + 8. Let m(u) be the second derivative of 0*u**3 - 1/10*u**5 + 1/6*u**4 + 0 - 3*u + 0*u**k. Find the third derivative of m(d) wrt d.
-12
Let v be 4 - 6/(1 - -2). Find the second derivative of -3*b**v - b - 53 + 53 - 3*b**2 wrt b.
-12
Let v be 1*(-3 + 1) + 6. Find the third derivative of v*c + 2*c**2 - c**6 - 4*c + 4*c**6 wrt c.
360*c**3
Suppose -b - 7 = -2*f, 2*b - 7 = -5*f + 15. What is the first derivative of 7*q**4 - 8 - 2*q**4 + 0*q**f wrt q?
20*q**3
Let j(p) = -31*p**3 - 38*p**2 - 6*p - 12. Let w(l) = 32*l**3 + 38*l**2 + 5*l + 10. Let u(z) = 5*j(z) + 6*w(z). Find the third derivative of u(h) wrt h.
222
What is the second derivative of 3*k**4 - 17*k**4 + k**4 + 8*k - 3*k**4 wrt k?
-192*k**2
What is the first derivative of 7*c + 9 + 4*c**2 + 0 - 7*c wrt c?
8*c
Suppose -o + 33 = 2*o. Find the first derivative of -o + 27 - 12 + 5*r**3 wrt r.
15*r**2
Let b(x) be the second derivative of 3*x**5/5 - x**4/4 - 3*x. What is the third derivative of b(n) wrt n?
72
Suppose 0 = i - 2 + 1. Let b = i + -1. Differentiate b*j**4 + 0*j**4 + 0*j**4 + 4*j**4 + 2 with respect to j.
16*j**3
Suppose 5*r - 8 = -0*g - g, -5*g + 10 = -5*r. What is the second derivative of -g*c + 0*c + 0*c**4 - 2*c**4 wrt c?
-24*c**2
Let l = -14 + 4. Let n = -5 - l. What is the second derivative of m**3 - 2*m**3 + n*m - 4*m wrt m?
-6*m
Suppose -3*m = -4*m + 2. Let n(c) = -c**3 - 5*c**2 - 6*c - 6. Let s be n(-4). What is the third derivative of -2*l**6 + 2*l**6 + 2*l**2 + s*l**m + l**6 wrt l?
120*l**3
Suppose 3 = -3*f + 18. Differentiate 2*x**3 + 2*x**3 - 2 - f*x**3 wrt x.
-3*x**2
Let c(g) = g + 2. Let o be c(0). Let k(v) be the third derivative of 0*v**4 + 0 + 2*v**o + 1/6*v**3 + 1/60*v**5 + 0*v. What is the derivative of k(b) wrt b?
2*b
Let r(m) be the second derivative of 3*m**5/10 - 2*m**2 - 12*m. Find the first derivative of r(h) wrt h.
18*h**2
Let t(x) be the first derivative of 29*x**3/3 - 21*x + 59. What is the first derivative of t(o) wrt o?
58*o
Let f(d) = -7*d**4 + 3*d - 1. Let h(q) = -15*q**4 + 7*q - 2. Let w(s) = -14*f(s) + 6*h(s). What is the derivative of w(m) wrt m?
32*m**3
Let g(u) be the first derivative of 22*u**3/3 - 7*u**2 + 15. Find the second derivative of g(m) wrt m.
44
Let y(b) be the first derivative of -5*b**6/6 - b**3/3 - 5. What is the third derivative of y(f) wrt f?
-300*f**2
Suppose -o = 3*z - 2*o - 10, -5*z - 5*o = -30. Differentiate -5*t**2 + 2 + z*t**2 + 8*t**2 wrt t.
14*t
Suppose 0 = 3*r - 7*d + 3*d + 7, -2 = 2*r - 4*d. Let i(j) = 7*j - 1. Let o(k) = -3*k. Let v(g) = r*o(g) - 2*i(g). Find the first derivative of v(c) wrt c.
1
What is the second derivative of -2*s + s**3 + 6*s - 6*s**3 wrt s?
-30*s
Let p be ((-6)/(-12))/(2/28). Let q = -3 + p. What is the third derivative of -3*j**4 - 3*j + q*j**2 + 3*j wrt j?
-72*j
Suppose 4*i = 2*i - 3*l + 13, 3*l + 1 = 5*i. What is the derivative of -5*c**3 - i*c**3 + 2 + 4*c**3 wrt c?
-9*c**2
Let c = -6 - -3. Let h = c + 6. Find the third derivative of 0*t**2 + 2*t**2 - 2*t**h + 0*t**3 wrt t.
-12
Let b(c) be the third derivati