/3*k**3. Find the first derivative of f(x) wrt x.
6*x
Let c(i) be the second derivative of -i + 1/5*i**5 + 0*i**4 + 0 + 1/2*i**2 + 0*i**3. Differentiate c(d) with respect to d.
12*d**2
Let z(t) be the second derivative of 0*t**6 + 1/28*t**8 + 0*t**7 + 0*t**5 + 0 - 8*t + 0*t**2 + 0*t**3 - 1/12*t**4. What is the third derivative of z(b) wrt b?
240*b**3
Let z(b) = -17*b**3 - 8*b + 2. Let k(o) = 34*o**3 + 15*o - 5. Let l(p) = 2*k(p) + 5*z(p). Find the second derivative of l(x) wrt x.
-102*x
Let v = 3 - 1. Find the first derivative of -4*j**2 - 3 + 4*j**4 + j**2 + 3*j**v wrt j.
16*j**3
Let k(w) be the third derivative of -w**5/10 + 7*w**3/6 - 5*w**2. What is the derivative of k(m) wrt m?
-12*m
Let l(r) = r**2 - 2 - 3*r + r + 3*r. Let o be l(-2). Find the second derivative of 0*j**3 - 2*j**3 + j + o + 0 wrt j.
-12*j
Let s(d) be the first derivative of -d**8/240 + d**6/90 + 8*d**3/3 + 7. Let m(v) be the third derivative of s(v). Find the third derivative of m(f) wrt f.
-168*f
Let v(r) = 17*r**2 - 6*r - 9. Let k(g) = -16*g**2 + 5*g + 8. Let i(y) = -6*k(y) - 5*v(y). Find the first derivative of i(c) wrt c.
22*c
Let s(l) be the first derivative of l**4/2 + 18*l + 14. What is the derivative of s(h) wrt h?
6*h**2
Suppose 4*w - 1 = 5*x + 4, 2*x + 2 = -2*w. Let p(c) be the second derivative of 3*c - 1/2*c**2 + w*c**3 - 1/12*c**4 + 0. What is the derivative of p(j) wrt j?
-2*j
Let u(k) = -k**2 - 1. Let m(x) = -4*x**2 - 3*x - 6. Let j be 10/(-8) + 11/44. Let r(o) = j*m(o) + 6*u(o). What is the second derivative of r(t) wrt t?
-4
Let k(x) be the second derivative of 7*x**6/30 - 5*x**2/2 + 10*x. What is the derivative of k(g) wrt g?
28*g**3
Let u(p) = -20*p**2 - 25*p - 45. Let j(i) = -5*i**2 - 6*i - 11. Let g(w) = -25*j(w) + 6*u(w). Differentiate g(n) with respect to n.
10*n
Let i(l) be the second derivative of l**7/840 - l**4/8 - l**3/3 - 3*l. Let d(j) be the second derivative of i(j). What is the first derivative of d(m) wrt m?
3*m**2
Differentiate 145*c**4 - 275*c**4 + 142*c**4 + 11 with respect to c.
48*c**3
Let u(s) be the third derivative of 2*s**7/35 - 5*s**4/8 - 12*s**2. Find the second derivative of u(l) wrt l.
144*l**2
Let c(l) = l**3 + 4*l**2 - 6*l - 3. Let s be c(-5). What is the third derivative of 4*p**6 + 0*p**s + 3*p**2 + 4*p**6 + p**6 wrt p?
1080*p**3
Let w(d) = -4*d + 6. Let v(a) = -a - 1. Suppose 5*m + 3*k - 1 + 23 = 0, 16 = -4*k. Let n(x) = m*v(x) + w(x). Differentiate n(c) with respect to c.
-2
Let o(p) be the first derivative of 11*p**6/6 - p**3 + 1. Find the third derivative of o(d) wrt d.
660*d**2
Let b(f) = -8*f**2 + 3*f - 7. Let t(i) = 7*i**2 - 3*i + 6. Suppose 0 = -4*y - 13 - 11. Let q(o) = y*b(o) - 7*t(o). What is the second derivative of q(p) wrt p?
-2
Let l = 3 + 2. Suppose l*v - 9 - 11 = 0. What is the derivative of -2 + k**3 - v + 4 wrt k?
3*k**2
Let n be 5 - (-1 + (-8)/(-4)). Find the third derivative of -9*o**3 + 13*o**3 + n*o**2 - 2*o**2 wrt o.
24
Let m = -5 + 9. Differentiate -m*c**4 - 3 + 0 + c**4 with respect to c.
-12*c**3
Let z be -4*2*(-2)/8. Find the second derivative of 2*l**2 - z*l**3 - l**3 + l - 2*l**2 wrt l.
-18*l
Let s(i) = 9*i**3 + i**2 - 1. Let t be s(1). Let m be (2/2)/(3/t). Differentiate d**3 + m*d - 3*d + 2 - 1 wrt d.
3*d**2
Let c(m) be the second derivative of -41*m**5/20 - 41*m**3/6 - 41*m. What is the second derivative of c(s) wrt s?
-246*s
Let x(g) = -g**3 - 2*g**2 - 2*g + 1. Let m be x(-2). Find the third derivative of 0*q**2 + 4*q**3 - q**2 - 4*q**3 - q**m wrt q.
-60*q**2
Find the second derivative of 10*z - 19 + 20 - 7*z**4 + 32*z**4 - z**2 wrt z.
300*z**2 - 2
Let a(h) = -3*h - 10. Let t be a(-4). Let u(f) be the second derivative of 0*f**2 + 1/3*f**3 + 0 + 1/12*f**4 + t*f. What is the second derivative of u(j) wrt j?
2
Let m(n) be the third derivative of n**7/35 - n**4/6 + 5*n**2. Find the second derivative of m(l) wrt l.
72*l**2
Let w be (-10)/35*-7 - 0. Let z(n) be the second derivative of -1/6*n**3 + 0 + 2*n + 1/6*n**4 + 0*n**w. Find the second derivative of z(v) wrt v.
4
Let v(n) = -6*n**6 - 5*n**5 + 13*n**2 + 5. Let y(w) = -5*w**6 - 6*w**5 + 14*w**2 + 6. Let k(a) = 6*v(a) - 5*y(a). Find the third derivative of k(t) wrt t.
-1320*t**3
Let h(m) = m**3 - 2*m**2 + 2*m. Let k be h(2). What is the second derivative of -2*s**3 + k*s - 2*s - s + 4*s wrt s?
-12*s
Let s(a) be the second derivative of 3*a**5/20 + a**4/2 + 16*a. Find the third derivative of s(u) wrt u.
18
Let f(s) = -7*s + 4. Let m(o) = -36*o + 19. Suppose 0 = -5*p + 10. Let b(k) = p*m(k) - 11*f(k). Differentiate b(u) with respect to u.
5
Let j(x) = -x**4 - x. Let b(q) = 17*q**4 - 4*q**2 - 2*q. Let o(t) = b(t) - 2*j(t). What is the third derivative of o(s) wrt s?
456*s
Let w = -124 - -126. Let b(d) be the first derivative of 4/3*d**3 + 0*d**w - 2 + 3*d. What is the derivative of b(m) wrt m?
8*m
Let g(q) = q**3 + 4*q**2 - 6*q - 2. Let t be g(-5). Suppose i = 3*l - 7, -i + t*l = -2*l + 15. Find the second derivative of 3*p**5 - 5*p**i + 2*p + 0*p wrt p.
-40*p**3
Suppose 0*x + 14 = -2*x. Let s = -5 - x. What is the derivative of -s + 0*o**2 - o**2 + 2 + 1 wrt o?
-2*o
Differentiate -4*s**4 + s**4 + 5 + 4 - 3 wrt s.
-12*s**3
Let g(p) be the third derivative of 29*p**7/210 + p**4/24 - 13*p**3/6 + 8*p**2. What is the second derivative of g(h) wrt h?
348*h**2
Suppose 4*d - 52 = -4*p, -2*p + d + 12 = -14. Let g = -9 + p. Find the second derivative of -w + 0*w + 3*w**g - 5*w**4 wrt w.
-24*w**2
Find the third derivative of -7*n**2 + 528*n**3 - 543*n**3 - 3*n**2 wrt n.
-90
Let m(n) be the first derivative of -11*n**3 + 3*n - 16. What is the first derivative of m(v) wrt v?
-66*v
Let x = -31 + 34. Let b(q) be the second derivative of 0*q**2 + x*q - 1/6*q**3 + 0 + 0*q**4 + 0*q**5 - 1/10*q**6. Find the second derivative of b(m) wrt m.
-36*m**2
Let o(t) = -12*t**2 - 4*t + 9. Let b(d) = -37*d**2 - 11*d + 28. Let x(w) = -4*b(w) + 11*o(w). What is the derivative of x(k) wrt k?
32*k
Let c = 24 + -22. Differentiate -4*a**c - 20 + 0*a**2 + 27 with respect to a.
-8*a
Find the second derivative of 6*t**5 - 25*t + 47*t - t**5 - 15*t wrt t.
100*t**3
Let p(g) = 30*g**5 + 2*g**2 - 6*g - 2. Let x(c) = 61*c**5 + 5*c**2 - 12*c - 5. Let z(n) = -5*p(n) + 2*x(n). Find the second derivative of z(d) wrt d.
-560*d**3
Suppose -6 = -5*i + 14. Let o be (-2)/4 + 10/i. Find the third derivative of 0*b + b**2 + b**o - 3*b**4 + 0*b wrt b.
-72*b
Let p(r) = -13*r - 30. Let w(m) = 14*m + 31. Let f(k) = -5*p(k) - 4*w(k). What is the derivative of f(n) wrt n?
9
Let g(a) be the first derivative of -a**4/4 - 10*a**3 + 27. What is the third derivative of g(n) wrt n?
-6
Let u(y) be the third derivative of -y**5/5 - 7*y**3/3 - 6*y**2. Differentiate u(m) wrt m.
-24*m
Find the second derivative of 6*x**5 + 17*x + 0*x**5 - x**5 - 4*x**5 wrt x.
20*x**3
Suppose 8 - 32 = -3*s. Let q(c) = c - 6. Let z be q(s). Differentiate -3 - y**z - 2 + 5 - 3 with respect to y.
-2*y
Let q(b) be the first derivative of 5*b**4/2 + 8*b + 8. What is the first derivative of q(z) wrt z?
30*z**2
Suppose 4*r + 0 = 12. What is the derivative of -4*u**4 + 3*u**r - 5 - 3*u**3 + 4 wrt u?
-16*u**3
Let t = 7 - 4. Suppose -5*f + 13 - 3 = 0. Differentiate t*l + l - l + f wrt l.
3
Let x(s) = s**3 - s**2 + 1. Let p(i) = 15*i**3 + 3*i**2 - 25*i - 3. Let m(c) = p(c) + 3*x(c). What is the second derivative of m(o) wrt o?
108*o
Differentiate -14*r**4 - 132*r + 132*r - 14 - 1 wrt r.
-56*r**3
Let k(w) = 6 - 5*w**3 - 6*w - w**3 + w**3 - 2*w**2 - 2*w**3. Let i(l) = -l**3 - l + 1. Let z(a) = 6*i(a) - k(a). Find the third derivative of z(b) wrt b.
6
Let d be (-2)/4 - (-2)/(-4). Let v be d/(-3) + 8/3. Find the third derivative of v*i - 5*i**2 - 5*i**4 - 2*i - i wrt i.
-120*i
Let h(v) = 25*v**3 + 9*v - 7. Let d be 3/(-1 - -2) + -10. Let a(w) = 13*w**3 + 4*w - 4. Let x(o) = d*a(o) + 4*h(o). What is the second derivative of x(f) wrt f?
54*f
Let j(b) be the first derivative of 0*b**4 - 6/5*b**5 - 2 - 5/2*b**2 + 0*b**3 + 0*b. What is the second derivative of j(q) wrt q?
-72*q**2
Suppose 4*z = -12, 3*z = c - 5*c + 11. Suppose -13 = -3*n + 3*d + 14, 0 = 5*n + 5*d + c. What is the third derivative of j**2 - 2*j**2 - 3*j**n + 0*j**2 wrt j?
-72*j
Suppose -11*u + 16*u = 15. Let x(w) be the second derivative of 0 + u*w + w**2 + 0*w**4 - 3/20*w**5 + 0*