*s
Let d(j) = j**4 + j**2 + j + 1. Let a = -6 + 4. Let k(f) = 4*f**4 + 6*f**2 + 6*f + 4. Let b(g) = a*k(g) + 12*d(g). What is the first derivative of b(l) wrt l?
16*l**3
Let b(l) be the first derivative of l**5/12 + 7*l**3/6 - 2*l**2 - 1. Let f(r) be the second derivative of b(r). Find the first derivative of f(z) wrt z.
10*z
Let f(n) be the second derivative of -7*n**3/6 - 3*n**2 + 5*n. Differentiate f(m) with respect to m.
-7
Let w(b) be the first derivative of -3 - 5/6*b**6 + 0*b**5 + b**2 + 0*b + 0*b**4 + 0*b**3. Find the second derivative of w(i) wrt i.
-100*i**3
Let k(w) = w**2 + 6*w + 3. Let r be k(-6). Let d = 5 - r. Find the third derivative of 3*j**2 + j**5 - 2*j**5 - 3*j**2 + 2*j**d wrt j.
-60*j**2
Let x(p) = -5*p - 8. Let j be x(-6). Suppose j = 4*f + 6. Find the first derivative of -2*o**f + 5*o**4 - 5 + 3 wrt o.
12*o**3
Let g(p) = 10*p**3 - 2*p**2 - 5*p + 2. Let w(j) = 51*j**3 - 11*j**2 - 25*j + 11. Let b(o) = -11*g(o) + 2*w(o). What is the second derivative of b(q) wrt q?
-48*q
Differentiate 69*t**4 - 66*t**4 + 29 - 4 wrt t.
12*t**3
Let f(t) be the second derivative of -t**5/15 + t**3/2 - t**2 - 4*t. Let q(w) be the first derivative of f(w). Find the first derivative of q(b) wrt b.
-8*b
Let d(k) be the second derivative of 19*k**5/20 - 29*k**4/12 - 19*k. Find the third derivative of d(c) wrt c.
114
Let n(f) = 9*f**2 + 26*f + 3. Let k(q) = -9*q**2 - 25*q - 4. Let j(v) = -3*k(v) - 4*n(v). Find the second derivative of j(r) wrt r.
-18
Let i(g) = 2*g - 2 + 0 - 4. Let u be i(4). Find the second derivative of -4*p**2 + 0*p**2 + 2*p + 5*p**u wrt p.
2
Let b(l) = 2*l**5 - 2*l**4 - 2*l**3 + 3*l**2 - 2*l. Let d(g) = -g**4 - g**3 - g. Let i(k) = 2*b(k) - 4*d(k). What is the third derivative of i(q) wrt q?
240*q**2
Let v(l) be the second derivative of -l**5/20 + 7*l**4/12 + 19*l. What is the third derivative of v(n) wrt n?
-6
Let t(z) be the first derivative of 0*z - 5/3*z**3 + 5 + 0*z**2 - z**4. What is the third derivative of t(d) wrt d?
-24
Let c = -5 - -11. Find the third derivative of -y**2 - y**6 + 2*y**2 - y**6 + 0*y**c wrt y.
-240*y**3
Let m(b) = 50*b**2 + 11. Let g(x) = -17*x**2 - 4. Let u(k) = 14*g(k) + 4*m(k). What is the derivative of u(t) wrt t?
-76*t
Differentiate -30*l**3 - 60 + 16*l**3 + 36*l**3 + 35*l**3 with respect to l.
171*l**2
Suppose -26*d = -22*d. Let z(m) be the first derivative of 1 + 0*m**2 - 2*m + d*m**4 + 0*m**3 - 3/5*m**5. Differentiate z(b) wrt b.
-12*b**3
Let k(o) be the second derivative of 0*o**3 + 3*o + 0 - 4*o**2 + 1/2*o**4. What is the first derivative of k(u) wrt u?
12*u
Let s(p) be the third derivative of 1/12*p**5 + 4*p**2 + 0*p**4 + 0*p**6 + 0*p**3 + 1/56*p**8 + 0*p**7 + 0 + 0*p. Find the third derivative of s(x) wrt x.
360*x**2
Find the third derivative of g - 5*g**3 - g + 6*g**2 + 6*g**3 wrt g.
6
Let l = 6 + 0. Let b be (-5)/((-15)/l) + 0. What is the first derivative of -3*n**b - 5 + 4 + n**2 wrt n?
-4*n
Let g = -4 + 8. Find the third derivative of g*k**5 - 3*k**5 - 2*k**2 + 5*k**5 wrt k.
360*k**2
Let b(r) be the first derivative of 2 - r - 2/3*r**3 + 0*r**2. Find the first derivative of b(z) wrt z.
-4*z
Let k(a) be the second derivative of a**4/12 + a**2/2 + 2*a. What is the first derivative of k(q) wrt q?
2*q
Let f(b) be the third derivative of -5*b**5/12 - 5*b**4/24 - 6*b**2. Find the second derivative of f(m) wrt m.
-50
Differentiate 10*o**2 - 10*o**2 + 1 + 4*o**4 wrt o.
16*o**3
Let u(o) = -o**2 + o. Let t(g) = -13*g**3 - 4*g**2 - 10*g. Let i(m) = t(m) - 4*u(m). Find the second derivative of i(q) wrt q.
-78*q
Let l(t) be the third derivative of -67*t**6/120 - 13*t**4/6 + 8*t**2 + t. What is the second derivative of l(c) wrt c?
-402*c
Let q(s) be the third derivative of 7*s**6/120 + s**5/3 + 21*s**2. What is the third derivative of q(r) wrt r?
42
Let h(t) be the first derivative of t**6/40 - t**5/30 + 3*t**2 + 8. Let s(d) be the second derivative of h(d). What is the third derivative of s(v) wrt v?
18
Let k(i) be the second derivative of 25*i**4/12 - 5*i**3 - 10*i. Find the second derivative of k(v) wrt v.
50
Let j(d) be the second derivative of 11*d**7/42 + d**3 + 13*d. What is the second derivative of j(t) wrt t?
220*t**3
Let f(g) be the first derivative of -g**3/2 + 3*g**2/2 + 6*g - 4. Let w(v) be the first derivative of f(v). Differentiate w(h) wrt h.
-3
Differentiate -22*b**2 + 17 + 28*b**2 + 11*b**2 with respect to b.
34*b
Let o(m) = -13*m**4 - 43*m**2 + 11*m. Let b(y) = y**4 + 2*y**2 - y. Let i(z) = 22*b(z) + 2*o(z). What is the third derivative of i(h) wrt h?
-96*h
Let o be (6/4)/(12/(-16)). Let r be 3*2/(-6)*o. Find the second derivative of 4*j**2 + 2*j**4 - 4*j**r + 2*j wrt j.
24*j**2
Let p(u) be the third derivative of u**7/30 - u**3 - 4*u**2. What is the derivative of p(f) wrt f?
28*f**3
Differentiate 23 - 2*r**2 + 10*r**2 + 19*r**2 with respect to r.
54*r
Let q = -2 - -2. Let h be 1/((-2)/(-4) - q). What is the third derivative of -t**h + 0*t**2 + 0*t**5 - 2*t**5 wrt t?
-120*t**2
Let x(y) = 17*y - 7. Let v(c) = 120*c - 50. Let l(f) = -3*v(f) + 20*x(f). What is the first derivative of l(n) wrt n?
-20
Let n(l) be the first derivative of -3*l**4 - 13*l**3/3 - 5. What is the third derivative of n(i) wrt i?
-72
Let v = 181 + -37. What is the second derivative of 5*p - 144 + v + p**4 wrt p?
12*p**2
Let v = 7/12 + -1/4. Let t(y) be the first derivative of 0*y - v*y**3 + 1/2*y**2 - 1. Find the second derivative of t(b) wrt b.
-2
Let m(f) be the second derivative of f + 0*f**5 + 0 + 0*f**2 + 1/6*f**3 + 0*f**4 + 0*f**6 - 1/21*f**7. What is the second derivative of m(t) wrt t?
-40*t**3
Let c(s) = -2*s - 16. Let h be c(-12). What is the third derivative of 4*z**3 - 10*z**3 + h*z**2 - z**3 wrt z?
-42
Let u(l) = -97*l**4 + 11*l**3 - 11*l**2 + 11*l - 50. Let x(r) = -49*r**4 + 6*r**3 - 6*r**2 + 6*r - 25. Let t(d) = -6*u(d) + 11*x(d). Differentiate t(o) wrt o.
172*o**3
Let w(c) = c**3 - 10*c**2 + 2. Let d be w(10). Let m(p) be the first derivative of -1 - 4*p**d + 0*p**2 + 5*p**2 - p. Find the first derivative of m(l) wrt l.
2
Let z(m) = m**3 + m - 1. Let r(x) = -5*x**3 + 6*x - 16. Let s(q) = -r(q) + 6*z(q). Find the first derivative of s(n) wrt n.
33*n**2
Suppose 0 = -4*p - 3*i + 8, -2*p - 5 = -2*i + 5. Let u = p - -2. What is the third derivative of u - 1 - 2*x**2 - 2*x**3 wrt x?
-12
Suppose -9 + 34 = 5*h. Let v(p) be the third derivative of -1/20*p**h + 0 + p**2 + 0*p**3 + 0*p + 0*p**4 + 1/60*p**6. Find the third derivative of v(t) wrt t.
12
Let a(r) be the first derivative of -4*r**6/3 + 5*r**3/3 + 3. Find the third derivative of a(n) wrt n.
-480*n**2
Let y = 13 + -8. What is the third derivative of -2*a**5 + 3*a**2 - a**y - 2*a**6 + 3*a**5 wrt a?
-240*a**3
What is the first derivative of -11*o - 14 + 5 - 1 wrt o?
-11
Differentiate 7*c**2 - 14*c**2 + 13 + 11*c**2 wrt c.
8*c
What is the first derivative of 56 + 71*q**2 - 71*q**2 + 9*q**3 wrt q?
27*q**2
Let p(r) = -r**2 + 10*r - 6. Let o be p(9). What is the derivative of -4 + 1 - o - 3*u wrt u?
-3
Let b(r) be the first derivative of 11*r**3/3 + 3*r**2 - 8. Find the second derivative of b(y) wrt y.
22
Let c(o) = o**3 + 2*o**2 - 20*o. Let m(a) = 3*a**3 + 5*a**2 - 39*a. Let n(h) = -5*c(h) + 2*m(h). What is the second derivative of n(g) wrt g?
6*g
Suppose x - 33 + 6 = 5*s, -5*x = -s - 15. Differentiate -9*b**3 - 5 + 9 - 4 - x with respect to b.
-27*b**2
Suppose -7 = -4*t - p, 0*p - 1 = -2*t - 3*p. What is the third derivative of -9 - 4*s**6 - 4*s**6 - 4*s**t + 9 wrt s?
-960*s**3
Let z(j) be the second derivative of j**6/24 - 5*j**4/12 + 9*j**2/2 + 11*j. Let y(q) be the first derivative of z(q). Find the second derivative of y(g) wrt g.
30*g
Suppose z - 1 - 2 = 0. Suppose 2*m + 2*n = 14, -z*m + 24 = 3*n + n. Differentiate -m*l**2 - 4 - 10*l + 10*l wrt l.
-8*l
Differentiate -13 + 17*k + 5*k**3 - 4 - 17*k with respect to k.
15*k**2
Suppose 3*f - l = -2*f + 16, -f = 4*l - 20. What is the derivative of 2*d**4 + 9*d**f - 5*d**4 - 1 + 0*d**4 wrt d?
24*d**3
Let i(x) = -10*x**4 + 5*x**2 - 5*x. Let t(r) = -9*r**4 + 0*r - 2*r - 2*r + 5*r**2. Let m(w) = 4*i(w) - 5*t(w). Find the third derivative of m(c) wrt c.
120*c
Suppose 5 - 15 = -5*f. Let q = -13 - -15. Find the third derivative of -3*n**f + 2*n**2 + n**4 + q*n**2 wrt n.
24*n
Let f(b) = -b**2 - 5*b + 4.