derivative of x(w) wrt w.
120*w**2
Find the second derivative of 2*a**5 + 4*a**5 + 3*a + 14*a + 3*a**5 wrt a.
180*a**3
Let i(w) be the second derivative of w**9/1512 - w**6/360 + 2*w**3/3 - 2*w. Let o(f) be the second derivative of i(f). Find the third derivative of o(h) wrt h.
120*h**2
Let c = 3 + -1. Suppose -12 = -u + 4*l, -c*u + l = 3*u - 22. What is the third derivative of 5*v**4 - 2*v**2 - 5*v**u - v**5 wrt v?
-60*v**2
Let g(o) be the second derivative of o**7/6 + 5*o**3/3 - 7*o. Find the second derivative of g(f) wrt f.
140*f**3
Let n(t) = -t + 13. Let k be n(11). Let h(a) be the second derivative of k*a + 0*a**4 + 0*a**3 + 1/15*a**6 + 1/2*a**2 + 0*a**5 + 0. Differentiate h(s) wrt s.
8*s**3
Let v(m) = 3*m + 8 + 3*m - 5*m. Let p be v(-6). What is the third derivative of -5*k - k**2 + 5*k - 3*k**6 + 0*k**p wrt k?
-360*k**3
Let c(b) be the first derivative of -2*b**6/3 + 8*b**3/3 + 8. Find the third derivative of c(s) wrt s.
-240*s**2
Let h(k) be the first derivative of 25*k**3/3 + 12*k - 32. Differentiate h(p) wrt p.
50*p
Let b(m) be the first derivative of 7 + 0*m**2 - 3*m - 2/3*m**3. Differentiate b(n) with respect to n.
-4*n
Let b(k) be the third derivative of 1/105*k**7 + 0*k**6 + 0*k**5 + 0 - 4*k**2 + 0*k**3 + 0*k + 1/8*k**4. What is the second derivative of b(s) wrt s?
24*s**2
Let w(a) be the first derivative of 1/3*a**3 - 1/4*a**4 + 0*a + 0*a**2 - 5. What is the third derivative of w(t) wrt t?
-6
Let y(o) = 12*o**2 - 5*o - 17. Let c(s) = 6*s**2 - 3*s - 8. Let k(u) = 5*c(u) - 3*y(u). Find the first derivative of k(d) wrt d.
-12*d
Let t = 37/258 + 1/43. Let h(k) be the third derivative of 0*k**4 - t*k**3 + 0 + 0*k - k**2 - 1/30*k**5. Find the first derivative of h(q) wrt q.
-4*q
Let b(y) = y**2 - 2*y - 3. Let r be b(3). Suppose -3*g + 3*z = -27, r*g + 5 = -5*g - 5*z. Find the third derivative of 0*f**4 - 3*f**2 - 3*f**g + 0*f**2 wrt f.
-72*f
Let l(p) be the second derivative of 23*p**4/6 + 3*p**3/2 + 45*p. Find the second derivative of l(q) wrt q.
92
Let p(k) be the third derivative of -k**8/42 - k**5/6 - 3*k**2. What is the third derivative of p(u) wrt u?
-480*u**2
Find the first derivative of -5*n + 4*n + 2*n + 1 - 5*n wrt n.
-4
What is the third derivative of 6*v**2 - 38*v**2 - 73*v**4 + 79*v**4 wrt v?
144*v
Suppose -2*h - 5 = -3*n + 2, n = 5. Suppose -8 = -4*b + 2*w, w + 0 = -h*b + 8. What is the second derivative of -k - k**b - 2*k + 5*k wrt k?
-2
Let a be (2 + 8/(-5))*5. Let z(q) be the first derivative of 0*q**3 + 0*q - 1/2*q**2 - 2/5*q**5 - a + 0*q**4. Find the second derivative of z(b) wrt b.
-24*b**2
Suppose -g = -1 + 4. Let l(w) = -w - 1. Let v be l(g). What is the third derivative of -2*j**2 + j**v + 0*j**6 + 2*j**6 wrt j?
240*j**3
What is the second derivative of -7*a**3 - 3*a + 2*a**2 - 6*a**2 + 4*a**2 wrt a?
-42*a
Let m(t) = 6*t**3 - 4*t**2 - 6*t. Let h(q) = -5*q**3 + 3*q**2 + 6*q. Let w(p) = 4*h(p) + 3*m(p). Find the second derivative of w(g) wrt g.
-12*g
Let x = 9 - 9. Suppose -5*f + x*f + 25 = 3*q, 0 = 5*q + 4*f - 20. Differentiate a**2 - 1 - 1 + q wrt a.
2*a
Let d(j) = -5*j**3 + 6*j - 7. Let g(t) = 2*t**3 - 6*t - 5*t - 3 + 16 + 7*t**3. Let a(z) = 11*d(z) + 6*g(z). Find the first derivative of a(p) wrt p.
-3*p**2
Let t(b) be the third derivative of 0 - b**2 + 1/6*b**4 + 0*b**3 + 0*b - 1/12*b**5. Find the second derivative of t(j) wrt j.
-10
Let h(i) be the first derivative of 0*i**2 - 1 + 0*i**6 + 0*i**4 + 0*i**5 + 0*i - 2/7*i**7 + i**3. What is the third derivative of h(s) wrt s?
-240*s**3
Let u(x) = 38*x**3 - 4*x**2 + 4*x - 32. Let f(r) = 77*r**3 - 7*r**2 + 7*r - 65. Let d(c) = -4*f(c) + 7*u(c). What is the first derivative of d(v) wrt v?
-126*v**2
Let m = 3 - 0. Find the second derivative of -3*p - m*p - 8*p**5 + 2*p**5 + 2*p**5 wrt p.
-80*p**3
Let a(k) be the third derivative of k**9/1512 - k**5/30 + k**3/2 - 3*k**2. Let u(d) be the first derivative of a(d). Find the second derivative of u(r) wrt r.
40*r**3
Let v(k) = k + 9. Let c be v(-6). Find the third derivative of 5*u**2 + 3*u - c*u - 2*u**3 wrt u.
-12
Let m(i) = 10*i**3 - 6*i**2 - 45. Let n(k) = -21*k**3 + 11*k**2 + 90. Let y(s) = 11*m(s) + 6*n(s). Differentiate y(r) wrt r.
-48*r**2
Let i(f) be the first derivative of 0*f - 3/2*f**2 + f**3 + 3. What is the second derivative of i(h) wrt h?
6
Let c be (1/(-3))/((-4)/24). What is the second derivative of f - f**2 - f**2 - c*f wrt f?
-4
Suppose 0 = -3*d - 0*d + 3. Let r be d/(0 - (-2)/8). What is the second derivative of f**4 + f - f**4 - 2*f**r wrt f?
-24*f**2
Let i(f) be the first derivative of f**8/56 + f**5/10 + 3*f**2 - 1. Let d(c) be the second derivative of i(c). What is the third derivative of d(l) wrt l?
360*l**2
What is the second derivative of -7 - 8 + 15 + 9*w - 4*w**3 wrt w?
-24*w
Let b(t) = -2*t - 1. Let x(i) = i - 1. Let f(r) = -b(r) - x(r). What is the first derivative of f(v) wrt v?
1
Suppose -3 = -3*g + 3. Let u(w) be the second derivative of 0*w**3 - w + 0 - 1/2*w**g + 1/12*w**4. What is the derivative of u(o) wrt o?
2*o
Let s(w) be the first derivative of 5*w**8/336 - w**4/12 - w**2/2 + 1. Let l(t) be the second derivative of s(t). Find the second derivative of l(b) wrt b.
100*b**3
Let s(v) = -v**2 + 8*v + 2. Let d be s(6). Find the second derivative of -5*c**3 - 14*c**2 + d*c**2 - 3*c wrt c.
-30*c
What is the derivative of 5 + 3*r**2 + 24 - 7 + 16 wrt r?
6*r
Let i(l) be the first derivative of l**6 + 5*l**3/3 + 2. What is the third derivative of i(j) wrt j?
360*j**2
Let n be 6/21 + 78/21. Find the second derivative of a**2 - a**2 + 0*a**2 - a**4 + n*a wrt a.
-12*a**2
Let d(k) be the second derivative of 3/20*k**5 + 0 + 0*k**2 - 1/6*k**4 + 2*k + 0*k**3. What is the third derivative of d(m) wrt m?
18
Suppose 7*q + 3 = 8*q. Let b(r) be the second derivative of -r + 2/3*r**q + 2*r**2 + 0. Find the first derivative of b(l) wrt l.
4
Let l(d) = 2*d**3 + 3*d**2 - 3*d + 11. Let i(u) = -3*u**3 - 2*u**2 + 2*u - 10. Let c(x) = -3*i(x) - 2*l(x). What is the first derivative of c(q) wrt q?
15*q**2
Let i(r) be the first derivative of 2/5*r**5 + 0*r**3 + 0*r + 0*r**4 + 1/2*r**2 + 4. Find the second derivative of i(y) wrt y.
24*y**2
Let f(j) = -18*j**4 - 43*j. Let l(x) = 9*x**4 + 22*x. Let y(h) = 6*f(h) + 10*l(h). What is the second derivative of y(n) wrt n?
-216*n**2
Let y(q) be the first derivative of q**6/40 + 2*q**3/3 - 3*q**2/2 + 4. Let l(c) be the second derivative of y(c). What is the derivative of l(x) wrt x?
9*x**2
Let z(a) = 7*a**2. Let k be z(1). Let u = 11 - k. Find the third derivative of -4 + u + q**2 + q**3 wrt q.
6
Let c be 7/(14/20) - 3. Find the second derivative of -12*q + 27*q - 7*q - q**2 - c*q**2 wrt q.
-16
Let n(v) = 6*v - 8 - 3 - 27*v**2 - 3 + 21. Let k(a) = -14*a**2 + 3*a + 4. Let t(g) = 7*k(g) - 4*n(g). What is the second derivative of t(u) wrt u?
20
Find the second derivative of -6*g + 3*g + 10*g**5 + 2*g + 0*g**5 wrt g.
200*g**3
Let f(x) = -x**2 + 6*x + 5. Let j be f(7). Let d be (-4)/6*3*j. Differentiate -3 - y**4 + 2*y**d - 2*y**4 + 3*y**4 with respect to y.
8*y**3
Let x(y) = y**4 + y**3 + 1. Let o(n) be the third derivative of 11*n**7/210 + n**6/20 + 6*n**2. Let a(w) = -o(w) + 6*x(w). What is the derivative of a(d) wrt d?
-20*d**3
What is the second derivative of -2*n**3 + 52*n**2 + 12*n**3 - 52*n**2 - 13*n wrt n?
60*n
Let z = 3 - 0. Let h(q) = -3*q**3 - 2*q**2 - 3 + z. Let t(d) = 6*d**3 + 5*d**2. Let l(y) = 7*h(y) + 3*t(y). Find the third derivative of l(w) wrt w.
-18
Let w(z) = 67*z**3 + 13*z**2 + 78*z + 13. Let i(q) = -33*q**3 - 6*q**2 - 39*q - 6. Let j(k) = -13*i(k) - 6*w(k). What is the second derivative of j(x) wrt x?
162*x
Let y(g) = -5*g**2 - 10. Let i(d) = -3*d**2 - 7. Let l(j) = -8*i(j) + 5*y(j). Differentiate l(n) wrt n.
-2*n
Let j(b) be the second derivative of -b**6/720 + b**5/120 - b**4/4 - b. Let c(s) be the third derivative of j(s). What is the derivative of c(t) wrt t?
-1
Let h(i) be the first derivative of 1/2*i**2 + 3 - i. What is the first derivative of h(a) wrt a?
1
Let v(f) = 2*f - 1. Let g be v(2). Differentiate 2*p**g + 2 - p**3 - 4*p**3 wrt p.
-9*p**2
Suppose 2*g - 5*b = -1, -g + 1 = -3*b + 2. Find the second derivative of s + s - 4*s - 2*s**g wrt s.
-4
Suppose 5*k - 9 + 39 = 5*d, 2*k - 3*d = -15. Let s(b) = b**3 + 3*b**2 + 2. Let i be s(k). What