/36 - 7*j**4/12 - 16*j**3/3 - 8. Let g(f) be the third derivative of y(f). Differentiate g(o) with respect to o.
20*o
Let g(a) be the third derivative of 0 + 1/24*a**4 + 4/3*a**3 + 14*a**2 + 0*a. Find the first derivative of g(o) wrt o.
1
Let h(y) = 69*y**3 + 45*y**2 + 3*y - 3. Let a(f) = -70*f**3 - 44*f**2 - 2*f + 2. Let t(q) = 6*a(q) + 4*h(q). What is the third derivative of t(k) wrt k?
-864
Let z(q) be the second derivative of 99*q**4/2 - 42*q**2 - 465*q. What is the first derivative of z(p) wrt p?
1188*p
Let u(l) be the third derivative of 0*l**3 + 3/2*l**4 + 0*l + 16*l**2 - 1 + 29/60*l**5. Find the second derivative of u(v) wrt v.
58
Let m be (1 + 0/1)*2. Differentiate -16 - 16 - 7*b**m + 28 wrt b.
-14*b
Differentiate 280*c**3 + 114 - 13 - 21 + 191*c**3 - 24 wrt c.
1413*c**2
Let k(i) be the second derivative of 15*i**3/2 - 59*i**2 + 2*i - 19. Differentiate k(a) wrt a.
45
Let x(q) be the first derivative of 2*q**5/5 + q**4/4 - 157*q**2/2 + q - 132. What is the second derivative of x(w) wrt w?
24*w**2 + 6*w
Let z(h) be the third derivative of -67*h**6/120 - 25*h**3/6 - 88*h**2. Find the first derivative of z(s) wrt s.
-201*s**2
Let r(n) be the second derivative of -3*n**4/4 - 51*n**3/2 - 61*n. Find the second derivative of r(q) wrt q.
-18
Let g(j) be the first derivative of 0*j**2 - 2/5*j**5 - 3 + 13/3*j**3 + 0*j + 0*j**4. What is the third derivative of g(r) wrt r?
-48*r
Let g(v) be the first derivative of v**8/24 + v**4/4 - 2*v**2 - 8. Let k(o) be the second derivative of g(o). Find the second derivative of k(y) wrt y.
280*y**3
Let u(i) be the second derivative of -233*i**3/3 - 401*i**2 + 946*i. What is the derivative of u(z) wrt z?
-466
Let y(q) = -431*q + 689. Let f(o) = o + 8. Let t(g) = 2*f(g) - y(g). Differentiate t(c) with respect to c.
433
Suppose -10 = -4*k + 6, 24 = 5*a - 4*k. What is the first derivative of -6 - a*z**4 - z**2 + z**2 wrt z?
-32*z**3
Let g(z) be the third derivative of 4/3*z**3 + 0*z**4 + 8*z**2 + 0*z**5 + 0 + 0*z**6 + 0*z - 1/30*z**7. Differentiate g(h) wrt h.
-28*h**3
Let p(i) = 2*i**3 + 22*i**2 + 68*i - 2. Let r(h) = -10*h**3 - 110*h**2 - 339*h + 11. Let a(u) = -11*p(u) - 2*r(u). What is the second derivative of a(y) wrt y?
-12*y - 44
Let t(l) = l**2 - 3*l + 1. Let n be t(3). Let i(f) = 4*f. Let u be i(n). What is the third derivative of 5*s**u - 18*s**3 - s**2 + 18*s**3 wrt s?
120*s
What is the third derivative of -8*d**2 + 445*d**4 + 132*d**6 - 445*d**4 + 11*d**6 wrt d?
17160*d**3
What is the third derivative of 19*j**3 + 28*j**3 - 11*j**2 - 8*j**2 + 18*j**2 - 53 wrt j?
282
Let g(v) be the third derivative of -3*v**5/10 - 61*v**4/24 + 3*v**2 - 8*v. Find the second derivative of g(i) wrt i.
-36
Let c(h) = 237*h + 181. Let d(b) = 713*b + 548. Let k(z) = -8*c(z) + 3*d(z). What is the derivative of k(m) wrt m?
243
Let a(d) be the first derivative of -123*d**5/5 - 235*d**2 + 512. What is the second derivative of a(g) wrt g?
-1476*g**2
Let o(v) be the second derivative of 0 + 0*v**3 + 3/5*v**6 + 0*v**2 + 30*v + 0*v**5 + 5/4*v**4. Find the third derivative of o(j) wrt j.
432*j
Let c(m) = -4 - 33*m - 32*m**2 + 8 - 3 - 3. Let h(r) = -r**4 + 31*r**2 + 32*r + 3. Let n(f) = 3*c(f) + 2*h(f). Find the second derivative of n(z) wrt z.
-24*z**2 - 68
Let b(j) be the second derivative of -517*j**7/42 - 577*j**3/6 + 148*j. Find the second derivative of b(a) wrt a.
-10340*a**3
What is the third derivative of 5*s**4 + 5 - 119*s**4 - 116*s**2 + 64*s**2 + 55*s**2 wrt s?
-2736*s
Let g(p) = -p - 1. Let z be 3/(-2)*2 - 1. Let a be g(z). Differentiate a*q**2 + 11*q**2 - 4*q**2 + 7 wrt q.
20*q
Let x(z) be the second derivative of 0*z**2 + 0*z**4 - 17/6*z**3 - 3 - 6*z + 1/30*z**6 - 17/10*z**5. What is the second derivative of x(g) wrt g?
12*g**2 - 204*g
Let r(y) = y**4 + 4*y**2 + y + 8 - 5*y**2 - 9. Let h(z) = 12*z**4 + 3*z**2 - 15*z + 3. Let t(f) = h(f) + 3*r(f). Find the second derivative of t(b) wrt b.
180*b**2
Let v(d) be the third derivative of 0*d**3 + 0*d + 0*d**4 + 1/20*d**5 + 0 + 4*d**2 - 1/120*d**6. Find the third derivative of v(i) wrt i.
-6
Let d(c) be the first derivative of 5*c**9/252 - c**5/12 - 17*c**2/2 - 17. Let y(r) be the second derivative of d(r). Find the third derivative of y(w) wrt w.
1200*w**3
Let f(x) = 18*x**2 + 3*x + 8. Let i be f(-3). Differentiate -81 - 64 - 23*b + i wrt b.
-23
Suppose 3*t = 3 - 21. Let w be ((-4)/3)/(2/t). What is the derivative of -4 + 3 + 14*h - w*h - 7 wrt h?
10
Let v(a) = -61*a**4 + 7*a**3 + 7*a**2 + 7*a + 38. Let u(b) = -b**4 + b**3 + b**2 + b. Let d(l) = 14*u(l) - 2*v(l). Differentiate d(z) wrt z.
432*z**3
Suppose 21 = 14*r - 259. Find the third derivative of -r*f**5 - 441*f**3 + 25*f**2 + 441*f**3 wrt f.
-1200*f**2
Let r be ((-8)/6)/(12/(-18)). Suppose -24 = -2*w - r*w. What is the third derivative of 5*g**6 - 5*g**6 + 2*g**w + 5*g**2 wrt g?
240*g**3
Let r = -150 + 305/2. Let q(m) be the second derivative of -m - r*m**2 - 1/6*m**3 + 0. What is the derivative of q(l) wrt l?
-1
Let k(r) be the third derivative of r**8/336 - r**5/3 + r**4/24 + 4*r**3 - 3*r**2 - 18*r. Find the second derivative of k(g) wrt g.
20*g**3 - 40
Let z(y) = -14*y**3 + 17*y + 13. Let r(u) = 6 - u**3 - 11*u**3 + 8*u + 5*u**3. Let m(l) = 13*r(l) - 6*z(l). Find the second derivative of m(x) wrt x.
-42*x
Let k = 6 - 4. What is the first derivative of -1 - 14*x**4 - 7*x**4 - k wrt x?
-84*x**3
Let u(n) = 7*n**2 + 4*n - 6. Let v(y) = -2*y**2 - 2*y + 2. Let z(r) = 3*u(r) + 8*v(r). What is the second derivative of z(w) wrt w?
10
Let k(v) be the first derivative of 0*v**6 + 0*v**5 - 31/7*v**7 + 0*v**4 + 0*v**2 + 0*v - 17/3*v**3 + 10. What is the third derivative of k(c) wrt c?
-3720*c**3
Let k = -12 + 16. Let l be ((-8)/12)/(k/(-30)). Find the second derivative of -4*r**2 - l*r + 8*r**2 - 14*r**2 wrt r.
-20
Suppose 0*c - 5*c = 0. Let b be 7/(21/6) + c. What is the third derivative of -2*h**2 + 8*h**2 - 3*h**4 - h**4 + 0*h**b wrt h?
-96*h
Let c(g) = 10*g**3 - g**2 - g + 1. Let s = -4 + 5. Let i be c(s). Find the first derivative of -i + 2*p - p + 4 + 1 wrt p.
1
Suppose 0*k - 1 = -2*k - z, -4*k + 2*z + 22 = 0. Suppose -88 = -5*m - 4*f, -m + 6*m - 3*f = 109. Differentiate -m + 0*p**3 + 23 + 5*p**k wrt p.
15*p**2
Differentiate 339 + 107 - 37 + 223*i**2 - i**3 with respect to i.
-3*i**2 + 446*i
Let w(d) be the third derivative of -59*d**5/60 - 7*d**3 - 2*d**2 - 8*d. What is the derivative of w(z) wrt z?
-118*z
What is the second derivative of -118*w + 253*w - 4*w**3 - 5*w**2 - 3*w**3 - 3*w**3 wrt w?
-60*w - 10
Let y(w) be the second derivative of 3*w**4/2 + 19*w**3/2 + w**2/2 + 11*w + 1. Find the second derivative of y(u) wrt u.
36
Let k = 10 - 9. Let t be ((-9)/27)/(k/(-12)). What is the second derivative of -2*f**t + 4*f - 2*f**4 + 0*f**4 wrt f?
-48*f**2
Suppose 69 = 2*u + h, -u = -0*h + 2*h - 30. Find the third derivative of u*l**3 - 503 + 2*l + 503 + l**2 wrt l.
216
Let m(w) = w**2 - 14*w + 2. Let h be m(14). What is the second derivative of 23*p + 13*p + 19*p**2 + 9*p**h - 9*p wrt p?
56
Let h(z) = -z**4 + 2*z**3 + z**2 - z + 1. Let f(w) = -w**4 - 12*w**3 + 5*w**2 + 2*w - 2. Let a(i) = -f(i) - 2*h(i). What is the third derivative of a(c) wrt c?
72*c + 48
Let n(i) = -i**3 + 2*i**2 + i + 1. Let t(p) = -7*p**4 + 3*p**3 - 6*p**2 - 867*p - 3. Let a(m) = -3*n(m) - t(m). Find the second derivative of a(y) wrt y.
84*y**2
Let p(t) be the second derivative of 13*t**5/5 + 4*t**3 - 19*t + 1. What is the second derivative of p(d) wrt d?
312*d
Let d(l) = -2*l**2 + 11*l + 17. Let b be d(6). What is the first derivative of 6 - b*y - 4 + y**3 - 29 wrt y?
3*y**2 - 11
Let r(v) = 7*v**3 + 5*v - 4. Let f(g) = 4*g**3 + 3*g - 2. Suppose -5*m = -2*m - 15. Let x(j) = m*f(j) - 3*r(j). Differentiate x(w) wrt w.
-3*w**2
Let i be (12 + 2 + -2)/2. What is the third derivative of 7*g**2 - 2*g**6 - 5*g**i + g**2 + g**2 wrt g?
-840*g**3
Find the third derivative of 71*r**3 - 62*r**2 - 63*r**2 + 91*r**2 wrt r.
426
Let t = 38 + -25. What is the second derivative of -11*a**3 - t*a - 20*a + 25*a wrt a?
-66*a
Let a(u) = -u - 14*u - 3*u + 0*u + 39. Let f(r) = 12*r - 26. Let l(k) = -5*a(k) - 8*f(k). Differentiate l(c) with respect to c.
-6
Find the second derivative of 60*z**4 + 21 + 12*z**2 - 13*z**4 - 9*z**2 + 7*z wrt z.
564*z**2 + 6
Find the third derivat