hat is the first derivative of u(f) wrt f?
-52*f
Let o = 32 + -31. Let x(t) be the first derivative of o + 0*t + 0*t**3 + 0*t**4 + 1/2*t**2 + 2/5*t**5. Find the second derivative of x(n) wrt n.
24*n**2
Let d(u) be the third derivative of -u**9/5040 - u**5/40 - u**4/12 + 3*u**2. Let j(o) be the second derivative of d(o). Differentiate j(h) with respect to h.
-12*h**3
Let g(r) be the first derivative of r**6/40 - r**4/12 + r**2/2 - 2. Let n(v) be the second derivative of g(v). Find the second derivative of n(d) wrt d.
18*d
Let r(o) = o**2 - 7*o + 8. Let i be r(6). Let c be (1 + -3)/((-16)/24). Differentiate i*h**3 - c*h**3 + 4 - 3 wrt h.
-3*h**2
Let f(n) be the first derivative of 2 + 0*n + 3/4*n**4 + 0*n**2 + 1/3*n**3. Find the third derivative of f(v) wrt v.
18
Let r(f) be the second derivative of f**8/280 + f**6/90 + f**3/2 - 3*f. Let w(s) be the second derivative of r(s). Find the third derivative of w(n) wrt n.
144*n
Let u(l) be the second derivative of 0 + 0*l**4 + 0*l**5 + 1/6*l**3 - 1/30*l**6 + 0*l**2 - 2*l. What is the second derivative of u(x) wrt x?
-12*x**2
Suppose 0*u + 3*u - 9 = 0. What is the second derivative of u*b - 2*b + 3*b - 2*b + 3*b**3 wrt b?
18*b
Let f(y) = -7*y**3 - 5*y**2 + 2*y. Let x(o) = -10*o**3 - 7*o**2 + 3*o. Let u(w) = -7*f(w) + 5*x(w). Find the second derivative of u(v) wrt v.
-6*v
Suppose 0 = -5*o - 5. Let f = 3 + o. What is the second derivative of 8 + f*k**4 - 8 + k wrt k?
24*k**2
Let m(f) be the second derivative of 2*f + 0*f**2 + 0 + 1/12*f**4 + 1/3*f**3. What is the second derivative of m(a) wrt a?
2
Let r = 2 - 0. Let s be -4*-1*r/4. Find the second derivative of 2*u + 0*u**2 + u**s - 3*u wrt u.
2
Let j(c) be the first derivative of -5*c**6/3 - 5*c**2/2 - 12. Find the second derivative of j(b) wrt b.
-200*b**3
Let k = 11 + -9. Find the third derivative of 3*m**5 - 4*m**4 + 2*m**k - m**4 + 5*m**4 wrt m.
180*m**2
Differentiate -18 + 19 + 0*a**3 + 3*a**3 wrt a.
9*a**2
Differentiate -21 + 15*n - 6*n - 9*n + 49*n**2 wrt n.
98*n
Let a = -11 - -15. Let n = 35 - 33. Find the second derivative of 0*x - 3*x - x**3 + a*x - n*x**3 wrt x.
-18*x
Suppose 0 = -3*y - s, -4*y - 4*s = -5*y. Suppose 0 = -3*k + 2*j + 2 - y, 3*j + 4 = 5*k. What is the third derivative of -l**2 - l**2 + 3*l**5 + l**k wrt l?
180*l**2
Let c(q) be the third derivative of q**8/840 + q**4/4 + q**3/3 + 3*q**2. Let x(z) be the first derivative of c(z). What is the first derivative of x(r) wrt r?
8*r**3
What is the third derivative of 0*i**2 + 7*i - i**2 + 7*i**5 - 7*i wrt i?
420*i**2
Let j(d) be the second derivative of -d**8/14 - d**4/3 + 3*d. What is the third derivative of j(p) wrt p?
-480*p**3
Let h(p) be the third derivative of -p**7/5040 - p**6/80 - 7*p**5/60 + 5*p**2. Let l(u) be the third derivative of h(u). Differentiate l(k) with respect to k.
-1
Suppose 0*x + 2*x - 30 = -5*v, 10 = 2*x. Suppose -2*f + 0*f + v = 0. Differentiate -3*g**4 - 5 + f + 0*g**4 + g**4 with respect to g.
-8*g**3
Find the third derivative of -5*z**3 + 3*z**2 + 0*z**3 + z**2 + 0*z**2 wrt z.
-30
Suppose 0 = -5*v + 11 - 1. Let k(m) be the first derivative of 0*m**v + 0*m**4 + 3/5*m**5 - 1 + 0*m**3 - m. Find the first derivative of k(b) wrt b.
12*b**3
Let k(v) be the first derivative of -2*v**4 + 2*v**3/3 - 44*v + 15. Find the first derivative of k(s) wrt s.
-24*s**2 + 4*s
Let l(g) be the second derivative of 0*g**2 + 4*g + 2/3*g**3 + 0 + 5/12*g**4. Find the second derivative of l(j) wrt j.
10
What is the second derivative of -6*i**2 + 10*i**2 + 8*i - 10 - 10*i wrt i?
8
Let m(d) be the third derivative of d**7/70 - 2*d**3/3 + d**2. Differentiate m(a) wrt a.
12*a**3
Let f(o) = -o**2 - 6*o + 4. Let k be f(-6). Find the first derivative of -4*c**2 - k*c**2 + 4*c**2 - 1 wrt c.
-8*c
Let v(z) be the third derivative of z**8/336 + z**4/24 - 2*z**3/3 + 5*z**2. Let n(d) be the first derivative of v(d). Differentiate n(b) wrt b.
20*b**3
Differentiate -2*h**3 - 12 - 6*h**3 + 18*h**3 with respect to h.
30*h**2
Let h(v) be the first derivative of -11*v**3/3 - 5*v**2/2 - 9. Find the second derivative of h(r) wrt r.
-22
Find the third derivative of -389*n**2 - 3*n**5 - 2*n**5 + 380*n**2 wrt n.
-300*n**2
Let f(h) = -1. Let k(v) = 30*v - 13. Let t(s) = 4*f(s) + k(s). What is the first derivative of t(y) wrt y?
30
Let f = 5 - 0. What is the derivative of j**3 + 4 + 2*j**3 - f*j**3 wrt j?
-6*j**2
Suppose -2*g + o + 4*o - 5 = 0, 0 = -2*g - 2*o + 2. Suppose 3*r - 7 - 2 = g. Find the second derivative of w**2 - 4*w**2 + 2*w**2 - w**2 + r*w wrt w.
-4
Let m(w) = -16*w**6 + 4*w**4 - 4*w**3 + 4*w**2 - 4*w. Let o(v) = v**6 - v**4 + v**3 + v. Let z(a) = m(a) + 4*o(a). Find the third derivative of z(c) wrt c.
-1440*c**3
Let a(l) = -5*l**4 - 6*l**3 - 6*l**2. Let p(g) = 11*g**4 + 13*g**3 + 13*g**2 + 1. Let z(n) = -13*a(n) - 6*p(n). Find the first derivative of z(x) wrt x.
-4*x**3
Let z(o) = -5*o - 10. Let l(f) = -3 + 6 + 6*f - 3 + 11. Let t(m) = 6*l(m) + 7*z(m). Differentiate t(g) with respect to g.
1
Suppose 0*z = 5*z - 35. Let g = z - 2. What is the third derivative of -i**2 - 5*i**g + 0*i**5 + 3*i**5 wrt i?
-120*i**2
Let v(f) be the third derivative of 0*f**4 + 0*f + 0*f**6 - 3*f**2 + 0*f**3 + 0 - 1/20*f**5 - 1/42*f**7. Find the third derivative of v(d) wrt d.
-120*d
Let f(u) = u**2 + u + 2. Let b be f(0). Suppose -i = b*h - 6*i - 1, 0 = -5*h + i + 14. Find the first derivative of -2 - a**4 - 2*a**h + 2*a**3 wrt a.
-4*a**3
What is the first derivative of 1 + 3*m**3 + 8*m**3 - 5*m**3 - 6 wrt m?
18*m**2
Find the third derivative of 13*t**2 + 12*t**2 + 0*t**2 + 6*t**6 - 3*t**6 wrt t.
360*t**3
Let d = 9 - 7. What is the second derivative of 0*t + d*t + 0*t**5 - 4*t**5 + 3*t wrt t?
-80*t**3
Let y(k) = -19*k**3 - 3*k**2 + 15. Let j(t) = 18*t**3 + 2*t**2 - 15. Let x(a) = 3*j(a) + 2*y(a). Find the first derivative of x(l) wrt l.
48*l**2
Suppose -4*m = -2*v - 8, 3*v - 5*m + 28 = 5*v. Find the third derivative of j**2 + 8*j**3 - 8*j**3 + 3*j**v wrt j.
72*j
Suppose 0 = 2*p + 5 - 1. Let u(i) = 0 - 4*i + 2 + 0. Let s(d) = -d**3 + 21*d - 11. Let j(h) = p*s(h) - 11*u(h). Find the second derivative of j(y) wrt y.
12*y
Let u(n) = -n - 1. Let z(j) = 5*j + 9. Let l(y) = -2*u(y) - z(y). Differentiate l(a) with respect to a.
-3
Let z(w) be the first derivative of w**8/336 + w**5/20 + w**2 + 1. Let g(n) be the second derivative of z(n). Find the third derivative of g(u) wrt u.
60*u**2
What is the derivative of 0*q**4 - 15 - 3*q**4 - 6*q**4 wrt q?
-36*q**3
Let i(o) = -o. Let l be i(-1). Let q = l + 4. Find the second derivative of y - y**5 - y**5 + 5*y**q wrt y.
60*y**3
Let l(g) be the third derivative of g**5/5 + 13*g**3/6 + 8*g**2. Differentiate l(f) wrt f.
24*f
Let v(a) be the second derivative of -3*a**7/14 - 5*a**4/12 - 16*a. Find the third derivative of v(y) wrt y.
-540*y**2
Differentiate 16*k**3 - 3 + 22*k**3 - 27*k**3 wrt k.
33*k**2
Let a(f) be the third derivative of 2*f**5/15 + 3*f**3/2 + 8*f**2. Differentiate a(m) wrt m.
16*m
Let o(v) be the second derivative of -v**6/6 + v**4/4 + 19*v. Find the third derivative of o(b) wrt b.
-120*b
Let q(p) be the first derivative of 0*p + 1/4*p**4 - 1/3*p**3 + 0*p**2 + 1. Find the third derivative of q(i) wrt i.
6
Let h(q) = 5*q**2 + 3*q**4 - 4*q**4 - 4*q**2 - 3*q. Let c(y) = -8*y**4 + 8*y**2 - 20*y. Let w(z) = 3*c(z) - 20*h(z). What is the third derivative of w(v) wrt v?
-96*v
Suppose 7 = 2*f + 2*f - k, 4*f + k = 9. Let i(o) = -o**2 + 5*o + 8. Let z be i(6). Find the second derivative of 6*m - 3*m + m**z + 0*m**2 - 3*m**f wrt m.
-4
Find the second derivative of 0 + 0 + 5*a + 5*a**3 + 4*a wrt a.
30*a
Let c(w) be the first derivative of -w**5/5 - w**2/2 + 7. Find the second derivative of c(h) wrt h.
-12*h**2
Let k(l) be the third derivative of -l**5 + 11*l**4/24 - 43*l**2. What is the second derivative of k(f) wrt f?
-120
Let x(l) = -9*l + 3. Let a(v) = -v. Suppose 2*z - 12 = z. Let c(f) = z*a(f) - x(f). What is the first derivative of c(i) wrt i?
-3
Let r(v) = -7*v**2 - 4*v + 8. Let f(p) = -p**2 - p. Let k(l) = 4*f(l) - r(l). Find the first derivative of k(d) wrt d.
6*d
Let n(g) = 5*g**2 + 2*g. Let h be n(-2). Suppose 0*p - 3*p + l + h = 0, 4*l = -p - 12. Find the second derivative of 31 - 31 - p*s**5 + 3*s wrt s.
-80*s**3
Let w(f) be the third derivative of -f**5/120 + f