b.
6
Let h(b) = 37*b**3 - 2*b**2 - 43. Let k(t) = -t**2. Let f(g) = h(g) - 2*k(g). Differentiate f(a) with respect to a.
111*a**2
Let q(m) = -29*m**3 + 16*m**2 - 6. Let u(r) = -r**2 - 1. Let y(a) = q(a) - 6*u(a). Find the third derivative of y(w) wrt w.
-174
Let v(k) be the first derivative of 0*k**6 + 0*k**2 + 0*k + 4 + 4/7*k**7 - 1/3*k**3 + 0*k**5 + 0*k**4. Find the third derivative of v(l) wrt l.
480*l**3
Suppose -p = -z + 2*p + 5, 0 = z - 5*p - 7. Find the first derivative of -1 + 3 + z + 5*j wrt j.
5
Let q(f) = 0*f + 14 + 0*f + 2*f - 3. Let g(o) = o + 12. Let z(a) = -4*g(a) + 5*q(a). Find the first derivative of z(h) wrt h.
6
Let w be ((-4)/6)/(1/12). Let s(i) = -i - 6. Let a be s(w). What is the second derivative of -v - a*v + v**2 + v + v**2 wrt v?
4
Let u(m) be the second derivative of -3*m**6/5 - m**4/3 - 15*m. Find the third derivative of u(c) wrt c.
-432*c
Let t(s) = s**2 + s - 1. Let k(q) = -2*q**2 - 20*q - 10. Let v(c) = -k(c) + 10*t(c). What is the second derivative of v(w) wrt w?
24
Let a be ((-8)/10)/(4/(-10)). Suppose -4*z - 10 = 3*k - 0, -3*z - 18 = -3*k. Find the second derivative of u + 9*u**2 - 13*u**k + 4*u**a - 2*u**5 wrt u.
-40*u**3
Let h(s) = -49*s**2 - 4*s + 27. Let g(c) = 97*c**2 + 7*c - 55. Let p(n) = -4*g(n) - 7*h(n). Find the first derivative of p(w) wrt w.
-90*w
Let h(s) be the first derivative of s**8/1680 + s**6/180 + s**3/3 + 2. Let d(o) be the third derivative of h(o). Find the third derivative of d(b) wrt b.
24*b
Differentiate -13 - 14 + 25 + b**4 with respect to b.
4*b**3
Let n(u) = -11*u**5 - 5*u**2 + u - 5. Let g = 10 + -5. Let a(q) = -5*q**5 - 2*q**2 - 2. Let y(k) = g*a(k) - 2*n(k). Find the second derivative of y(p) wrt p.
-60*p**3
Find the first derivative of -9*s**3 - 32 + 4*s**3 - s**2 + 0*s**2 + 0 wrt s.
-15*s**2 - 2*s
Let z(k) be the first derivative of 2*k**4 + 9 + 0*k + 0*k**3 + 1/2*k**2. Find the second derivative of z(b) wrt b.
48*b
Let o(s) = s + 4. Let t be o(0). Let d = 6 - t. Differentiate 3 - d + 1 + 2*x with respect to x.
2
Let l be (-96)/(-44) - 4/22. What is the third derivative of d**2 + d**2 - l*d**4 - d**4 wrt d?
-72*d
Let t = -6 - -12. Find the third derivative of -t*w**3 - w**2 + 6*w**2 + 4*w**5 + 6*w**3 wrt w.
240*w**2
Let d be (0 - -2)*(-4)/(-2). What is the third derivative of 0*b**2 + 0 + b**d + 0 + b**2 wrt b?
24*b
Let c(k) be the third derivative of k**8/10080 + 7*k**6/720 - k**5/10 + 7*k**2. Let f(z) be the third derivative of c(z). Differentiate f(u) with respect to u.
4*u
Let n(b) = -22*b**4 + 7*b**3 + 7*b - 36. Let f(k) = 23*k**4 - 6*k**3 - 6*k + 35. Let c(r) = 7*f(r) + 6*n(r). What is the derivative of c(v) wrt v?
116*v**3
What is the third derivative of 2*t**2 - 33*t + 6*t**4 + 33*t wrt t?
144*t
Find the third derivative of 43*n**4 - 37*n**4 - 2*n**2 + 7*n**2 wrt n.
144*n
Let i(a) be the third derivative of -a**10/720 + a**6/40 - 3*a**3/2 + 5*a**2. Let q(j) be the first derivative of i(j). Find the third derivative of q(y) wrt y.
-840*y**3
Differentiate 30 - 272*k - 270*k + 552*k wrt k.
10
Suppose -3 = 4*p - 19. What is the third derivative of -9*j**2 - 7*j**5 + 12 - 12 + p*j**2 wrt j?
-420*j**2
Suppose 0 = -2*v - 2*r + 10, 3*v - 2*r - r = 39. Suppose 4*k - v*k = 0. Find the third derivative of -g**6 + k*g**6 + 3*g**2 - 4*g**2 wrt g.
-120*g**3
Suppose -4*z = -3*t + 2*t - 95, 3*t + 35 = 2*z. Find the second derivative of -z + 3*j + 25 - 3*j**2 wrt j.
-6
Let m(o) = o**3 + 28*o**2 + 28*o + 31. Let k be m(-27). Let r(v) be the first derivative of 0*v**2 - 3/4*v**k - 3*v + 0*v**3 + 3. Differentiate r(f) wrt f.
-9*f**2
Find the second derivative of -22*w + 5*w**4 + 41*w - 32*w wrt w.
60*w**2
Let j(p) be the third derivative of -p**6/120 - p**5/40 + p**3/3 + 3*p**2. Let q(y) be the first derivative of j(y). Find the second derivative of q(a) wrt a.
-6
Let m(a) = -4*a**2 - a. Let f be m(1). Let r(d) = 3*d**2 - 18*d. Let i(u) = 2*u**2 - 12*u. Let n(w) = f*r(w) + 8*i(w). Find the second derivative of n(s) wrt s.
2
Suppose -2*u = 2*u - 24. Differentiate -m**2 - u + 2 + 2 wrt m.
-2*m
Let h(b) be the second derivative of -b**3/3 - 3*b**2 - 3*b. Let r(z) = 5 + 2 + z - 2. Let k(u) = -3*h(u) - 4*r(u). What is the first derivative of k(l) wrt l?
2
Let o = 9/8 + -43/40. Let a(g) be the third derivative of 1/8*g**4 + 3*g**2 + 0*g + o*g**5 + 0*g**3 + 0. What is the second derivative of a(d) wrt d?
6
Let p(m) = 4*m**2 + 1. Let n(r) = r**2 + 1. Let d be (-24)/(-9) - 6/9. Suppose 2 = -f + d*f. Let s(a) = f*n(a) - p(a). Find the first derivative of s(k) wrt k.
-4*k
Suppose 0 = -5*c + 6*f - 2*f + 26, -3*f = -2*c + 16. Find the third derivative of 3*a**c - a**5 + 3*a**5 + 0*a**2 wrt a.
120*a**2
Let j(p) be the second derivative of -p + 0 + 5/2*p**2 - 1/3*p**3. What is the first derivative of j(u) wrt u?
-2
Let h(u) be the first derivative of -2*u**7/105 - u**4/8 - 3*u**2/2 + 1. Let l(v) be the second derivative of h(v). What is the second derivative of l(x) wrt x?
-48*x**2
Find the third derivative of -5*l**2 - 5*l**4 + 58*l**3 - 58*l**3 wrt l.
-120*l
Let j(h) be the second derivative of -h**5/4 - h**4/2 + 3*h. What is the third derivative of j(a) wrt a?
-30
What is the second derivative of 5*a - a**2 + 0*a**2 + a - 3*a**2 wrt a?
-8
Let x(m) = -2*m - 11. Let q(z) = -4*z - 21. Let y(f) = 4*q(f) - 7*x(f). What is the first derivative of y(r) wrt r?
-2
Let x = 45 + -40. Let v(o) be the first derivative of 0*o**2 + 0*o + 0*o**4 - 2 - 1/5*o**x + 2/3*o**3. What is the third derivative of v(u) wrt u?
-24*u
Suppose -4*w + 2*z = -22, 3*w + 2*z - 14 = z. What is the third derivative of 3*d**w - 2*d**3 + 2*d**3 - 3*d**2 wrt d?
180*d**2
Let y be 1/((-11)/4 + 3). What is the second derivative of -5*i**4 + 10*i**y - 3*i**4 + i**4 + 9*i wrt i?
36*i**2
Let v(b) be the first derivative of -4*b**2 + 0*b**3 + 0*b - 7/4*b**4 + 7. What is the second derivative of v(g) wrt g?
-42*g
Let c(o) = 3*o**3 + 11*o**2 + 5*o - 5. Let a(i) = -2*i**3 - 11*i**2 - 4*i + 4. Let q(f) = -5*a(f) - 4*c(f). Find the third derivative of q(r) wrt r.
-12
Let c = -214 + 126. Let k be 4/(-14) + c/(-14). Find the third derivative of -2*u**2 - 4*u**6 + 5*u**k + 0*u**2 - 4*u**6 wrt u.
-360*u**3
Find the third derivative of -5*g**6 - 2*g**6 - g**6 + g**2 - 5*g**2 wrt g.
-960*g**3
Let d(t) be the first derivative of -3*t**2 + 23*t - 13. Find the first derivative of d(o) wrt o.
-6
Let n be (3/(-8))/(15/(-20)). Let y(d) be the first derivative of -2 - n*d**4 + 0*d**3 - 2*d + 0*d**2. Differentiate y(q) with respect to q.
-6*q**2
Let j = 41 - 122/3. Let k(r) be the third derivative of 0 - j*r**3 + 0*r**6 - 1/210*r**7 + 2*r**2 + 0*r**4 + 0*r + 0*r**5. What is the derivative of k(q) wrt q?
-4*q**3
Let n(m) be the first derivative of -m**6 + 5*m**3/3 + 12. Find the third derivative of n(s) wrt s.
-360*s**2
Let r(m) = -15*m + 3. Let d(f) = 15*f - 3. Let y(v) = -6*d(v) - 5*r(v). What is the first derivative of y(g) wrt g?
-15
Let h = 102 + -98. Let v(s) be the first derivative of -2 + 0*s**3 + 0*s**2 - s - 1/2*s**h. What is the derivative of v(i) wrt i?
-6*i**2
Let o(r) = 9*r**4 + 3*r**3 - 3*r**2 + 20. Let d(n) = -18*n**4 - 5*n**3 + 5*n**2 - 39. Let h(m) = 3*d(m) + 5*o(m). What is the first derivative of h(s) wrt s?
-36*s**3
Let l be (1/1)/(1/3). What is the derivative of 0*s**2 + 0*s**2 + l - 3*s**2 wrt s?
-6*s
Suppose -u = -6*u, 0 = -5*p + u + 15. Find the third derivative of -m - 4*m**3 - 2*m**2 + m + m**p wrt m.
-18
Let v(p) be the third derivative of p**9/18 + 11*p**5/12 - p**2 - 3*p. What is the third derivative of v(u) wrt u?
3360*u**3
Suppose -2*t + t = -4. Differentiate -5 + t + 5 + 2*c**3 with respect to c.
6*c**2
Find the third derivative of 0*v**3 + 61*v**2 - 38*v**2 - 9*v**3 wrt v.
-54
Let h(p) be the first derivative of p**7/6 + 5*p**3/6 + 5*p + 4. Let u(c) be the first derivative of h(c). Find the second derivative of u(q) wrt q.
140*q**3
Let n(b) be the third derivative of -b**4/6 + 5*b**3/6 + b**2. What is the first derivative of n(c) wrt c?
-4
Let x = 0 + 2. What is the derivative of 0 + x*m**3 + 2 + 0 wrt m?
6*m**2
Let d(l) = l - 9. Let v be d(10). What is the first derivative of 3 - v + 0 - 6*r wrt r?
-6
Let s(a) be the third derivative of -37*a**9/504 - 13*a**5/60 + a**3/6 + a**2. What is the third derivative of s(x) wrt x?
-4440