g(h). What is the third derivative of -b**2 - 2*b**5 + 4*b**2 - d*b**2 wrt b?
-120*b**2
What is the first derivative of -i**3 - i**3 - 3 - 2*i**3 - 3*i**3 wrt i?
-21*i**2
Differentiate 3*f**4 + 2*f**4 + 7 + 2*f**4 with respect to f.
28*f**3
Let t(j) = -2*j**3 + 3*j**2 - 7. Let i(z) = 5*z**3 - 5*z**2 + 14. Let p(q) = 3*i(q) + 5*t(q). Differentiate p(s) with respect to s.
15*s**2
Let f(k) be the first derivative of k**9/3024 - k**6/360 - k**3 + 1. Let i(p) be the third derivative of f(p). What is the third derivative of i(s) wrt s?
60*s**2
Let o(k) = 42*k**4 + 22*k + 16. Let a(p) = -14*p**4 - 7*p - 5. Let g(j) = -16*a(j) - 5*o(j). Find the second derivative of g(b) wrt b.
168*b**2
What is the second derivative of 816*w**3 + 8*w - 816*w**3 + 16*w**5 wrt w?
320*w**3
Let i(n) = -3*n**2 + 26*n - 5. Let f(t) = -t**2 + 13*t - 2. Let s(b) = -5*f(b) + 2*i(b). Find the second derivative of s(d) wrt d.
-2
Find the third derivative of -4*a**4 - 5*a**2 + 3*a**2 - 3*a**2 - a**4 wrt a.
-120*a
Let u be -1*(-2 + 1 + -2). Let m(l) be the second derivative of 0*l**4 + 0 + 1/6*l**u + 2*l + 0*l**2 + 1/10*l**5. What is the second derivative of m(r) wrt r?
12*r
What is the third derivative of 0*q**2 + q**2 - q**3 + q**2 + 3*q**3 wrt q?
12
Let g(m) be the first derivative of 1/6*m**6 + 0*m**5 - 3 + 0*m + 0*m**4 + 0*m**2 - 1/3*m**3. Find the third derivative of g(u) wrt u.
60*u**2
Suppose -5*l + 10 = -0*l. What is the first derivative of w**l - 2 + 1 - 3 + 2 wrt w?
2*w
Let o(m) = m**3 - 2*m**2 - 5*m + 9. Let i be o(3). Let v(s) be the third derivative of 1/24*s**4 + 0 + 1/3*s**i + 0*s + s**2. Differentiate v(x) wrt x.
1
Let p = 3 + -3. What is the second derivative of 2*w**2 + 2*w + p*w - w - 3*w wrt w?
4
Let y(u) = u**2 + 4*u - 2. Let b be y(-4). Let d(f) = f**3 + f**2 - 3*f - 1. Let x be d(b). Differentiate 4*g - g - x + 0*g - g wrt g.
2
Let c(a) be the second derivative of a**3/2 + a**2 - 9*a. Differentiate c(h) with respect to h.
3
Suppose 5*j - 19 = 4*c, 2 = -2*c - 0. Suppose -t + j*t - 6 = 0. What is the derivative of -2 - 3*u - t*u**3 + 0 + 3*u wrt u?
-9*u**2
Let n(d) = 16*d**3 + 9*d**2 + 3*d + 3. Let s(f) = -17*f**3 - 9*f**2 - 4*f - 4. Let h(z) = 4*n(z) + 3*s(z). Find the third derivative of h(w) wrt w.
78
Let p = 2 + 1. What is the second derivative of 4*y**p - y**3 + 3*y + 0*y**3 wrt y?
18*y
Let c = -6 - -8. Differentiate 1 - c*j + 2 - 4 wrt j.
-2
Let v(a) be the third derivative of a**4/12 - a**3/6 + 5*a**2. Find the first derivative of v(c) wrt c.
2
Let g(v) be the first derivative of -v**8/1680 - v**5/60 - v**3/3 + 1. Let n(b) be the third derivative of g(b). Find the second derivative of n(x) wrt x.
-12*x**2
What is the third derivative of -8*h**3 + 20*h - 20*h + 4*h**2 - 3*h**2 wrt h?
-48
Let w(v) = -60*v**3 - 15*v**2 + 15*v - 72. Let q(t) = -15*t**3 - 4*t**2 + 4*t - 18. Let h(o) = -15*q(o) + 4*w(o). Differentiate h(u) wrt u.
-45*u**2
Differentiate 20*h**2 - 50 + 0*h**2 + 32 wrt h.
40*h
Let x(c) = c**3 + 9*c**2 + 8*c - 3. Let o be x(-7). Find the second derivative of o*q**5 - 33*q**5 + 2*q + 2*q wrt q.
120*q**3
Let g(s) = s**3 + 5*s**2 + 5*s + 4. Let d(h) = 1 + 6*h - 3*h + h**3 + 3*h**2 + 1. Let b(i) = -5*d(i) + 3*g(i). Find the first derivative of b(x) wrt x.
-6*x**2
Let n(q) = 2*q - 4. Let u(g) = g - 1. Let y(s) = -5*n(s) + 35*u(s). What is the derivative of y(l) wrt l?
25
Let z(s) be the third derivative of s**8/560 + s**4/24 - 2*s**3/3 - 2*s**2. Let r(x) be the first derivative of z(x). Find the first derivative of r(f) wrt f.
12*f**3
Let k be (3 - 14/4)*-6. What is the third derivative of -3*u**k + 0*u**3 - u**2 - 4*u**2 + 12*u**3 wrt u?
54
Let q(i) be the third derivative of -11*i**9/504 + i**5/6 - 8*i**2. What is the third derivative of q(r) wrt r?
-1320*r**3
Let q(i) be the second derivative of -5/6*i**4 - 4*i - i**2 + 0*i**3 + 0. Find the first derivative of q(t) wrt t.
-20*t
Let q(x) be the first derivative of x**6/40 - x**4/12 + 2*x**2 - 1. Let s(i) be the second derivative of q(i). What is the second derivative of s(w) wrt w?
18*w
Let u(x) be the second derivative of -4*x + 1/4*x**4 + 0*x**2 + 0 + 0*x**5 + 0*x**3 + 1/15*x**6. Find the third derivative of u(g) wrt g.
48*g
Let w(o) be the third derivative of -o**6/60 + 7*o**5/30 - 20*o**2. Find the third derivative of w(p) wrt p.
-12
Let k(o) = -o**2 - 3*o - 1. Let h(f) = 1. Let t(g) = h(g) + k(g). Let m be t(-2). Find the first derivative of 3*p + m + p**3 - 3*p wrt p.
3*p**2
Let u(i) = -i**2 - 6*i - 5. Let h be u(-4). What is the third derivative of -x**2 - 2*x**3 + 2*x**3 - 2*x**h wrt x?
-12
What is the derivative of 2 - 3*v + 10 + 0*v + v wrt v?
-2
Let d(r) = 4*r**3 - 3*r**2 - 2*r + 3. Let q(j) = j**3 - j**2 - j + 1. Let v(l) = -4*d(l) + 12*q(l). What is the second derivative of v(a) wrt a?
-24*a
What is the second derivative of -9*c + 6*c + 4*c + 2 - c**2 wrt c?
-2
What is the derivative of 33 - 14 - 13*h**4 - 13 wrt h?
-52*h**3
Let z(i) be the second derivative of -i**5/20 - 13*i**3/6 - 49*i**2/2 - 42*i. Differentiate z(n) with respect to n.
-3*n**2 - 13
Let u = 25 - 25. Let v(y) be the third derivative of 1/210*y**7 + 0*y**5 - 2*y**2 + 0*y**4 + u*y**6 + 0*y - 1/3*y**3 + 0. What is the derivative of v(b) wrt b?
4*b**3
Let d(a) = 17*a + 9. Let o = 13 + -2. Let l(w) = -6*w - 3. Let g(z) = o*l(z) + 4*d(z). Differentiate g(k) wrt k.
2
Suppose 4*d - 4 = 4. Differentiate 7 + r**d - 3 - 13 wrt r.
2*r
Let l = 18 + -13. What is the second derivative of z + 0*z + 5*z - 2*z**5 - 6*z**l wrt z?
-160*z**3
Let f(v) be the second derivative of v**6/60 - v**5/30 - v**2 + 3*v. Let s(y) be the first derivative of f(y). What is the third derivative of s(i) wrt i?
12
Suppose 2*y + 3 = 5*s + 36, 2*s + y + 6 = 0. Let g = 7 + s. Find the first derivative of -g + 2*b**3 - 4*b**3 + 0 wrt b.
-6*b**2
Suppose -4*d = -5*d + 2. Let k(o) = o**2 + 2*o + 1. Let n be k(d). Differentiate 9*w - 2 - w**4 - n*w wrt w.
-4*w**3
Let h = 7 - 2. Let w = -1 + 3. What is the second derivative of w*x - 3*x + x**5 + x**h wrt x?
40*x**3
Let y(f) be the third derivative of -3*f**6/10 - 7*f**5/20 - 3*f**2. What is the third derivative of y(g) wrt g?
-216
Let y(b) be the third derivative of 1/105*b**7 - 1/60*b**5 + 0 + 0*b + 0*b**3 - 3*b**2 + 0*b**4 + 0*b**6. Find the third derivative of y(m) wrt m.
48*m
Suppose -4*l - t = -7, 0 = 4*l - 2*l + 5*t + 1. What is the third derivative of -a**2 - a**2 + 0*a**2 - 3*a**3 + 0*a**l wrt a?
-18
Let z = 48 - 45. Let h(y) be the second derivative of 0*y**2 + 3*y + 0*y**4 - 1/3*y**z + 0 + 1/10*y**5. Find the second derivative of h(i) wrt i.
12*i
Let m(y) be the first derivative of y**8/560 + 7*y**5/120 - 8*y**3/3 + 5. Let p(k) be the third derivative of m(k). Find the second derivative of p(r) wrt r.
36*r**2
Let d = 3 + -1. What is the third derivative of d*p**4 + 2*p**2 + 5*p**2 - 4*p**2 wrt p?
48*p
Let s(t) be the third derivative of -t**4 - 4*t**3/3 - 7*t**2. Find the first derivative of s(w) wrt w.
-24
Let y(k) be the second derivative of -5*k**6/3 + 11*k**2 - 49*k. Differentiate y(a) with respect to a.
-200*a**3
Suppose 5*w - 9 = -0*w + d, 3*w + 2*d = 8. Suppose -s = 2*s - 12. What is the third derivative of -3*c**2 + w*c**4 + c**2 + c**s wrt c?
72*c
Let c(l) be the first derivative of -13*l**7/7 + 5*l**3 + 35. Find the third derivative of c(h) wrt h.
-1560*h**3
Let u(i) = i**2 + 10*i + 4. Let g be u(-10). Let n(h) be the third derivative of 1/3*h**3 + h**2 + 0 + 0*h - 1/12*h**g. Differentiate n(y) wrt y.
-2
Suppose 4*l = 4*c - 16, 2*l + 3*c + 18 = 7*c. Differentiate 3*s + l + 0 - 2 with respect to s.
3
Let v(p) be the first derivative of 2*p**5/5 + p**4/2 - 53*p + 58. What is the derivative of v(h) wrt h?
8*h**3 + 6*h**2
Let l(h) be the third derivative of h**10/1260 + h**6/60 - h**3/6 - h**2. Let p(v) be the first derivative of l(v). What is the third derivative of p(f) wrt f?
480*f**3
Let x(k) = -4*k**3 - 3*k**2 + 5*k. Let n(r) = -2*r**3 - 2*r**2 + 2*r. Let f = 4 + -2. Let i(w) = f*x(w) - 5*n(w). Find the third derivative of i(b) wrt b.
12
Suppose 3*r - 6 = -4*s, -r - 5*s = -2*r + 21. Find the second derivative of -r*c**2 + 6*c**2 + 0*c**3 + 5*c**3 - c wrt c.
30*c
Let g(x) be the first derivative of 0*x**2 + 0*x**3 + 0*x**4 + 5 + 3/5*x**5 + 3*x. Find the first derivative of g(q) wrt q.
12*q*