 7*p + 16. Let f(s) = -4*i(s) - 7*z(s). Find the first derivative of f(w) wrt w.
-2*w
Let r(q) = -q**3 + q**2 + q + 3. Let n(d) = -d**3 + 5*d**2 - 3*d - 4. Let k be n(4). Let u be r(k). Differentiate -4*i**3 + 6*i**u + 0 - 2 with respect to i.
6*i**2
Let t(p) be the third derivative of -11*p**7/210 + 17*p**5/60 + p**2. Find the third derivative of t(r) wrt r.
-264*r
Find the first derivative of -6*m**3 + 69 - 2*m**3 - 74 wrt m.
-24*m**2
Let r(k) be the first derivative of -k**7/420 - 5*k**4/24 - 4*k**3/3 - 3. Let p(i) be the third derivative of r(i). Differentiate p(w) wrt w.
-6*w**2
Let y(q) be the first derivative of 23*q**4/4 - 5*q**3 - 24. What is the third derivative of y(r) wrt r?
138
Let z(w) be the second derivative of 5/12*w**4 + 5*w + 0*w**3 + 0*w**2 - 1/10*w**5 + 0. Find the third derivative of z(o) wrt o.
-12
Suppose 15 = -w + 4*w. Find the third derivative of 6*k**2 - 231*k**w - 6*k**6 + 2*k**6 + 231*k**5 wrt k.
-480*k**3
Let o(q) be the first derivative of -17*q**3/3 + 10*q - 1. What is the derivative of o(i) wrt i?
-34*i
What is the third derivative of -3*r**2 - 781*r + 781*r - 15*r**3 wrt r?
-90
Let g = -3 - 1. Let b(x) = x**2 + 2*x - 5. Let s be b(g). What is the second derivative of -6*n + 5*n + 2*n**4 + s*n wrt n?
24*n**2
Suppose -3*v + 4*p = -15, -6*v - 3*p = -2*v - 20. What is the second derivative of a - 18*a**4 - v*a + 17*a**4 wrt a?
-12*a**2
Let t(d) = -1 - 1 + 0 - d + 0 + d**2. Let u be t(3). Find the third derivative of 0*r**2 + r**4 + 3*r**u - 2*r**4 - r**2 wrt r.
48*r
Let a = 7 - 3. Let r(c) = 7*c**4 - 4*c**3 - 2*c. Let q(h) = -14*h**4 + 9*h**3 + 3*h. Let k(i) = a*q(i) + 9*r(i). Find the second derivative of k(p) wrt p.
84*p**2
Let q be 8/12 + (-2)/4. Let f(d) be the third derivative of -1/24*d**4 + 3*d**2 + 0 + 0*d - q*d**3. What is the first derivative of f(c) wrt c?
-1
Let n(l) = 61*l - 35. Let t(a) = 15*a - 9. Let y(p) = 2*n(p) - 9*t(p). Differentiate y(o) with respect to o.
-13
Suppose 0 = -4*p + 23 - 3. What is the third derivative of 4 - k**2 + 0*k**p - 4 - 3*k**5 wrt k?
-180*k**2
Let u(p) be the first derivative of 23*p**3/3 - 2*p**2 - 5*p + 32. What is the second derivative of u(j) wrt j?
46
Let q be 12*((-15)/(-9))/5. Find the third derivative of -9*t**q - 8*t**4 + 6*t**5 + 2*t**2 + 17*t**4 wrt t.
360*t**2
Let z(s) be the first derivative of 15*s**4/2 - 25*s**3/3 - 16. What is the third derivative of z(v) wrt v?
180
What is the second derivative of -899*y**4 + 37*y - 3*y**5 + 2*y**5 + 913*y**4 wrt y?
-20*y**3 + 168*y**2
Let p(q) be the first derivative of -31*q**4/2 - 9*q**2/2 - 2*q + 51. What is the second derivative of p(y) wrt y?
-372*y
Let g be (-3)/2*6/(-9). Let z(f) be the first derivative of 0*f - 1/2*f**2 - g + 2/3*f**3. Find the second derivative of z(i) wrt i.
4
Let g = 3 + -1. Suppose -n - 12 - 4 = -5*t, t - 2*n = 5. Find the third derivative of s**g - 3*s**2 + 2*s**t + 0*s**2 wrt s.
12
What is the second derivative of 3*t - 12*t**4 + 28*t**2 - 10*t**2 - 18*t**2 wrt t?
-144*t**2
Let a(f) be the first derivative of f + 4/3*f**3 - 1 + 0*f**2. What is the first derivative of a(p) wrt p?
8*p
What is the third derivative of 20*p**2 + 63*p**6 + 17*p**6 - 12*p**6 + 0*p**2 wrt p?
8160*p**3
Let p(x) = x**3 + 6*x**2 - 7*x + 6. Let z be p(-7). Let t = z + 0. Find the second derivative of 0*g - g**4 - t*g + 2*g wrt g.
-12*g**2
Let m(o) = -56*o**3 + 16*o - 4. Let p(c) = c**3 - c + 1. Let q(l) = m(l) + 16*p(l). Differentiate q(d) with respect to d.
-120*d**2
Let x(w) be the third derivative of w**6/72 - w**5/60 - w**3/2 + 2*w**2. Let t(m) be the first derivative of x(m). What is the second derivative of t(q) wrt q?
10
Let r(l) be the third derivative of -l**8/840 - l**5/40 + l**3/2 + 3*l**2. Let d(c) be the first derivative of r(c). Find the second derivative of d(b) wrt b.
-24*b**2
Let u(d) be the second derivative of 11*d**8/56 + d**4/12 - 3*d**2/2 - 18*d - 1. Find the third derivative of u(m) wrt m.
1320*m**3
Let y(g) = -g**2 + 5*g - 4. Let p be y(3). What is the third derivative of -38*h - p*h**2 - h**3 - h**3 + 38*h wrt h?
-12
Let j = -22 + 23. Let h = 6 - 4. What is the first derivative of -6*m**2 + j + h*m**3 + 6*m**2 wrt m?
6*m**2
What is the derivative of -18*a**3 + 51 - 54 - 9*a**3 wrt a?
-81*a**2
Find the second derivative of -5*u + 4 - 5*u**4 + 9 - 13 wrt u.
-60*u**2
Let u(j) be the third derivative of -j**6/12 + 4*j**3 + 9*j**2. Find the first derivative of u(x) wrt x.
-30*x**2
Let g(p) = 5*p**2. Let w = -6 - -7. Let i be g(w). Find the second derivative of -i*q + 2*q + 4*q**4 - 3*q**4 wrt q.
12*q**2
Let j(a) be the third derivative of -13*a**6/120 + 7*a**4/8 - 15*a**2. What is the second derivative of j(w) wrt w?
-78*w
Let g(k) be the first derivative of -1/3*k**3 - 1/6*k**6 - 2 + 0*k + 0*k**2 + 0*k**5 + 0*k**4. Find the third derivative of g(a) wrt a.
-60*a**2
Let p(v) = -28*v**3 + 59*v**2 - 3*v + 6. Let l(m) = 27*m**3 - 60*m**2 + 2*m - 4. Let t(n) = 3*l(n) + 2*p(n). Find the third derivative of t(c) wrt c.
150
Let x(i) be the third derivative of 0*i**3 + 0*i**4 + 0 + 0*i**6 + 2*i**2 + 0*i**7 + 1/336*i**8 + 0*i - 1/30*i**5. What is the third derivative of x(t) wrt t?
60*t**2
Let w(p) be the third derivative of 2/3*p**3 + 0 + 6*p**2 - 1/8*p**4 + 0*p. What is the first derivative of w(f) wrt f?
-3
Find the third derivative of 745*s**2 - 392*s**2 - s**4 - 386*s**2 - 13*s**3 wrt s.
-24*s - 78
Find the third derivative of 14*j**3 - 26*j**2 + 13*j**2 + 9*j**2 wrt j.
84
Let f(q) = -6*q**4 - 3*q**3 + 3*q**2 + 4*q - 3. Let y(o) = -o**3 + o**2 + o - 1. Let a(x) = f(x) - 3*y(x). What is the second derivative of a(n) wrt n?
-72*n**2
Let j(b) = b - 2. Let s be j(4). Differentiate -2*y - y + 3*y + 3*y**s - 3 with respect to y.
6*y
Let p(n) = -n**3 - 13*n**2 - 11*n + 15. Let x be p(-12). Differentiate 4*y**4 - 3 + 4 - 3 - x*y**4 with respect to y.
4*y**3
Let h = 5401/24 - 225. Let i(g) be the third derivative of -1/2*g**3 + h*g**4 + g**2 + 0*g + 0. What is the first derivative of i(c) wrt c?
1
Let q(d) be the first derivative of 50*d**3/3 + 24*d - 16. What is the first derivative of q(i) wrt i?
100*i
Let b(z) be the third derivative of -z**10/1680 - z**6/90 - z**3/3 + z**2. Let d(f) be the first derivative of b(f). Find the third derivative of d(q) wrt q.
-360*q**3
Let a(v) be the second derivative of 3*v**6/10 + 5*v**4/2 - 31*v. What is the third derivative of a(u) wrt u?
216*u
Let q = 2 + -1. Let j be 2 + 0/(-3*q). Find the third derivative of 2*o**3 + 7 + o**j - 7 wrt o.
12
Let s(i) be the second derivative of 0*i**3 + 0*i**4 + 1/10*i**5 - 1/2*i**2 + i + 0. What is the first derivative of s(a) wrt a?
6*a**2
Let d(x) be the second derivative of -19*x**6/30 - 3*x**3/2 - 8*x. What is the second derivative of d(p) wrt p?
-228*p**2
Let h(p) be the second derivative of 0 - 5/6*p**3 + 0*p**2 + 0*p**4 - 5*p + 1/5*p**5. Find the second derivative of h(d) wrt d.
24*d
Let z(g) = -7*g**3 - 2*g**2 + 2. Let b(x) = -27*x**3 - 8*x**2 + 9. Let w(l) = -4*b(l) + 18*z(l). Find the third derivative of w(y) wrt y.
-108
Let s(d) be the third derivative of d**5/30 - 7*d**4/24 + d**2. Find the second derivative of s(x) wrt x.
4
Let r(j) be the second derivative of 7*j**5/20 - j**3/3 - 10*j. Find the second derivative of r(b) wrt b.
42*b
Suppose -37 = -5*q - 2*g + 11, -4*g - 8 = -3*q. Let j(r) = -r**2 + 8*r - 4. Let x be j(6). Find the first derivative of -3 + a - x + q - 3*a wrt a.
-2
Find the second derivative of -11*y**3 - 78*y - 2 + 2 + 81*y wrt y.
-66*y
Let k = -156 + 470/3. Let l(v) be the first derivative of 0*v**2 + 2*v - 3 + k*v**3. Differentiate l(i) with respect to i.
4*i
Let n(c) be the second derivative of -3*c**5/10 + c**2 + 3*c. Differentiate n(d) with respect to d.
-18*d**2
Let q(o) = o**2 + 1. Let r(l) = -45*l**2 + 5. Let p(a) = -2*q(a) + r(a). Differentiate p(g) with respect to g.
-94*g
Let n = 2 + 3. Let k(i) = -4*i**3 - 4 + 5 - 2. Let o(x) = 9*x**3 + 2. Let l(r) = n*k(r) + 2*o(r). Find the first derivative of l(d) wrt d.
-6*d**2
Suppose 0 = 4*i - 8*i. Let r(c) be the first derivative of -1/5*c**5 - 2 + 0*c**2 + 0*c**3 + i*c**4 + 2*c. Differentiate r(l) with respect to l.
-4*l**3
Let j(d) be the third derivative of 0 + 9*d**2 - 1/6*d**4 - 2/3*d**3 + 0*d. What is the derivative of j(p) wrt p?
-4
Let p(s) be t