*2 + 14*p**3 + 14*p**3 wrt p?
18
Let w(y) = 10*y**4 + 3*y**3 + 3*y - 1. Let n(d) = 10*d**4 + 4*d**3 + 4*d - 1. Let i(r) = 3*n(r) - 4*w(r). Differentiate i(p) with respect to p.
-40*p**3
Differentiate 6 + 4 - 8*z + 6 + 2 wrt z.
-8
Let o(p) = -19*p**2 - 21*p. Let w(f) = f**2. Let x(d) = o(d) + 3*w(d). What is the second derivative of x(z) wrt z?
-32
Let x(j) = j**3 + 2*j**2 - j + 1. Let z be x(-2). Find the first derivative of 2 - 2*u**3 - z + u**3 + 2*u**3 wrt u.
3*u**2
Let b(z) = 9*z - 8. Let u(l) = 4*l - 4. Let d(x) = 6*b(x) - 10*u(x). What is the first derivative of d(k) wrt k?
14
Let w(b) = -b**2 + b + 6. Let c be w(0). Let z be ((-6)/9)/((-2)/c). Find the second derivative of u + z*u**5 + u**3 - u**3 wrt u.
40*u**3
Let o(p) be the third derivative of 3*p**7/70 - 4*p**3/3 + 4*p**2. What is the first derivative of o(k) wrt k?
36*k**3
Suppose 0 = -n + 5*a + 18, -3*a + 5*a = 3*n - 15. What is the second derivative of -2*h**2 + 2*h**2 + n*h - h**2 + 0*h wrt h?
-2
Suppose 4*y - 2*y = -16. Let d(r) = 6*r**2 - 11*r - 8. Let b(s) = -4*s**2 + 7*s + 5. Let q(z) = y*b(z) - 5*d(z). Find the second derivative of q(x) wrt x.
4
Let w = 1/18 - -1/9. Let j(d) be the third derivative of 1/30*d**5 + 0 + 0*d - w*d**3 - d**2 + 0*d**4. Differentiate j(x) with respect to x.
4*x
Let q(l) be the third derivative of -3*l**7/35 - l**5/10 - 19*l**2. Find the third derivative of q(c) wrt c.
-432*c
Let a(x) be the third derivative of x**8/336 + 5*x**4/24 + 10*x**2. Find the second derivative of a(u) wrt u.
20*u**3
Let a(r) be the third derivative of -r**9/56 - r**6/24 - 11*r**5/20 + 57*r**2. What is the third derivative of a(k) wrt k?
-1080*k**3 - 30
Let g(h) be the third derivative of -h**7/105 - h**4/8 + 4*h**2. Find the second derivative of g(o) wrt o.
-24*o**2
Find the third derivative of -9*h**2 - 2*h**4 + 5*h**4 - 18*h**4 wrt h.
-360*h
What is the derivative of -48*z**4 - 48 + 2*z - 263*z**3 + 263*z**3 wrt z?
-192*z**3 + 2
Let s = -3 + 1. Let h be 0/3*s/4. What is the second derivative of c**2 + c + h*c + 0*c**2 wrt c?
2
Find the second derivative of 83*w**2 - 5*w**5 + 47*w - 83*w**2 wrt w.
-100*w**3
Let l(u) be the first derivative of u**6/90 + u**5/30 - u**3/3 - 3. Let a(s) be the third derivative of l(s). What is the second derivative of a(y) wrt y?
8
Let b(g) be the first derivative of g**6/30 - g**4/8 - 3*g**2 - 1. Let n(c) be the second derivative of b(c). Find the second derivative of n(j) wrt j.
24*j
Let d(r) = 4*r + 12*r**3 - 1 + 12 + 3*r**3. Let i(n) = -3*n**3 - n - 2. Let g(h) = -2*d(h) - 11*i(h). Find the second derivative of g(u) wrt u.
18*u
Suppose -u - u - 22 = 0. Let j(m) = 4*m**2 + 5*m + 11. Let w(q) = 2*q**2 + 3*q + 6. Let l(a) = u*w(a) + 6*j(a). What is the second derivative of l(s) wrt s?
4
Let h be ((-6)/21)/((-2)/14). Find the third derivative of -4*a**h - a**5 + 14 - 14 wrt a.
-60*a**2
Let u(c) be the first derivative of -c**4 - 16*c - 8. What is the derivative of u(s) wrt s?
-12*s**2
Let w(s) be the third derivative of 3*s**6/40 - 7*s**3/3 - 4*s**2. What is the derivative of w(h) wrt h?
27*h**2
Let f(s) be the second derivative of -s**5/20 + 53*s**2/2 + 52*s. Differentiate f(a) wrt a.
-3*a**2
Let a = -305 + 7321/24. Let b(t) be the third derivative of -a*t**4 + 0*t + 2*t**2 + 1/30*t**6 + 0*t**5 + 0 + 0*t**3. Find the second derivative of b(m) wrt m.
24*m
Let c(q) = q - 6. Let k(a) be the second derivative of -a**3/6 + 11*a**2/2 + 2*a. Let t(x) = 7*c(x) + 4*k(x). Find the first derivative of t(g) wrt g.
3
Let f(r) be the first derivative of 9*r**7/7 - r**3 + 4. Find the third derivative of f(b) wrt b.
1080*b**3
Let a(c) = c - 3. Let m = -2 + 6. Suppose k + m*k + 45 = 0. Let w(h) = 2*h - 6. Let j(b) = k*a(b) + 4*w(b). Differentiate j(r) with respect to r.
-1
Let s(t) = 7*t**2 + 11*t - 46. Let b(h) = -2*h**2 - 4*h + 15. Let d(q) = -11*b(q) - 4*s(q). Differentiate d(m) with respect to m.
-12*m
Suppose 2*k - 2*q = k + 14, -4*q = 20. Find the second derivative of 3*h**5 - 8*h - 3*h**5 - h**5 + k*h wrt h.
-20*h**3
Let x be (-2 + 2)/(3*1). Let y(g) be the second derivative of 0 + x*g**2 - 1/6*g**3 + 3*g - 1/4*g**4. What is the second derivative of y(r) wrt r?
-6
Differentiate -11*c - 16 + 5 - 13 + 36*c with respect to c.
25
Let n(k) = k - 5. Let u be n(7). Find the third derivative of 2*f**5 + 5*f**2 + 7*f**2 - 7*f**u wrt f.
120*f**2
Let d(v) be the third derivative of v**7/30 - v**5/60 + 3*v**2. Find the third derivative of d(l) wrt l.
168*l
Let t = 5 - 2. Find the third derivative of 0*q**2 + 2*q**2 + 3*q**3 - 4*q**t wrt q.
-6
Let c(z) be the third derivative of z**6/20 - z**5/20 - 4*z**2. Find the third derivative of c(o) wrt o.
36
Suppose -41 - 67 = 4*y. Let s be y/6*2/(-3). What is the third derivative of 3*o**2 + o**6 + 0*o**2 - s*o**6 wrt o?
-240*o**3
What is the third derivative of -5*y**2 - 2*y**2 - 9*y**4 - 22*y**2 - 23*y**4 wrt y?
-768*y
Let n(i) = -43*i - 69. Let t(f) = 14*f + 23. Let m(r) = 6*n(r) + 17*t(r). What is the derivative of m(a) wrt a?
-20
Suppose 5*m + w = -15, 4*m + m = w - 15. Let f(o) = -o**2 - 2*o + 4. Let s be f(m). What is the first derivative of 6*b + b**2 - 6*b - s wrt b?
2*b
What is the second derivative of -37*m - 25*m**5 - 7*m**2 - 2*m**2 + 9*m**2 wrt m?
-500*m**3
Let h(a) be the second derivative of -3*a**5/10 - 7*a**2/2 + 8*a. Find the first derivative of h(b) wrt b.
-18*b**2
Let z(p) be the third derivative of 5*p**8/168 + p**4/4 - 11*p**2. Find the second derivative of z(v) wrt v.
200*v**3
Let t(d) be the second derivative of -5*d**4/6 - 13*d**3/6 - d**2/2 - 54*d. Find the second derivative of t(m) wrt m.
-20
Let a(x) = 3*x - 1. Suppose -p + 29 = 5*k - 2*p, 8 = k + 2*p. Let g(b) = 1 - 4*b + 3*b - 4*b. Let c(n) = k*g(n) + 11*a(n). Differentiate c(l) with respect to l.
3
Let w(v) be the first derivative of 3*v**4/4 + 3*v**2/2 - 28. Find the second derivative of w(g) wrt g.
18*g
Let f(q) be the first derivative of -q**7/7 - 2*q**3/3 - 3. Find the third derivative of f(r) wrt r.
-120*r**3
Let j = -8 + 18. What is the third derivative of 0*m**4 + 2*m**4 + 9*m**2 - j*m**2 wrt m?
48*m
What is the third derivative of -4*u**5 + 4*u**2 - 15*u**2 - 2*u**5 wrt u?
-360*u**2
Let o = -3 + 4. Differentiate g**3 - 3 - o + 3 with respect to g.
3*g**2
Let v(f) = -f - 1. Let d(y) = -11*y**2 + 17*y + 5. Let b(j) = -d(j) - 5*v(j). Find the second derivative of b(x) wrt x.
22
Let a(t) = -22*t**3 + 4*t**2 - 20*t - 4. Let h(l) = l**3 + l**2 + l - 1. Let j(z) = -a(z) + 4*h(z). Find the second derivative of j(n) wrt n.
156*n
Let p(s) be the first derivative of 2/3*s**3 + 0*s**2 + 0*s + 3/2*s**4 + 7. Find the third derivative of p(b) wrt b.
36
Let g(t) be the first derivative of -6*t**7 - 17*t**3/3 - t**2/2 + 14. What is the third derivative of g(u) wrt u?
-5040*u**3
What is the third derivative of -1292*d**2 - 11*d**3 + 1261*d**2 + 2*d**5 - 4*d**5 wrt d?
-120*d**2 - 66
Let b(c) be the third derivative of c**8/168 + 9*c**7/70 - 37*c**4/12 + 2*c**2 + 32. What is the second derivative of b(t) wrt t?
40*t**3 + 324*t**2
Suppose 1 = 5*b - 19. What is the third derivative of 2*l**2 + 4*l**4 - 6*l**b - l**2 wrt l?
-48*l
Let o(b) be the second derivative of -b**8/3360 + b**5/120 + b**4/12 - 2*b. Let p(k) be the third derivative of o(k). What is the derivative of p(d) wrt d?
-6*d**2
Suppose 5*l = 23 - 8. What is the second derivative of 2*u**3 - u**3 - u + u**l wrt u?
12*u
Suppose 5*d + y - 2*y = 9, y = 2*d - 3. What is the third derivative of v**5 + 3*v**2 + v**2 + v**d - 2*v**5 wrt v?
-60*v**2
Let t(f) = -5*f**2 - 2. Let q be 40/12*3/2. Let h(g) = -11*g**2 + g - 5. Let c(x) = q*t(x) - 2*h(x). What is the second derivative of c(k) wrt k?
-6
Find the second derivative of 19*s**4 + 4*s - 12*s**4 - 13*s**4 wrt s.
-72*s**2
Let o(f) be the second derivative of f**8/840 - f**5/60 + f**3/6 + 3*f. Let n(v) be the second derivative of o(v). What is the second derivative of n(u) wrt u?
24*u**2
Let z = 28 + -21. Suppose -i - 3*b - 5 = 0, -3*i + 4*b + 20 = -i. Find the third derivative of 0*w**4 - w**i + z*w**2 - 10*w**2 wrt w.
-24*w
Let z(i) = -i**2 - 13*i - 16. Let y be z(-11). Suppose 0 = 6*n - n - 15. Find the first derivative of -n + y*k - 3*k + 4 wrt k.
3
Let o(f) = 45*f**3 - 24. Let g(t) = 45*t**3 - 25. Let u(y) = 3*g(y) - 2*o(y). What is the fi