4
Let b(t) = -1. Let m(d) = -2*d**2 + 3. Suppose n - 6 = 1. Let x = -6 + n. Let f(s) = x*m(s) + 4*b(s). What is the first derivative of f(i) wrt i?
-4*i
Let l(r) = 3*r**3 + 19*r**2 - 6*r + 6. Let a(z) = -z**3 - z**2 + z - 1. Let c(h) = -6*a(h) - l(h). Find the third derivative of c(s) wrt s.
18
Let g(b) be the first derivative of -11*b**3/3 - 9*b + 20. Differentiate g(c) wrt c.
-22*c
What is the second derivative of 2*c**3 + 2*c**3 + 2*c**3 - 6*c + 2*c**3 wrt c?
48*c
Let u(w) be the second derivative of -w**7/840 + w**6/360 - w**3/6 - w. Let b(x) be the second derivative of u(x). Find the third derivative of b(y) wrt y.
-6
Let a(r) = 2*r**3 - r - 1. Let z be a(-1). Let k be ((-16)/(-20))/(z/(-5)). What is the second derivative of -2*v**3 + k*v**5 - 3*v + 2*v**3 + 0*v wrt v?
40*v**3
Let c(q) be the second derivative of 0*q**3 + 0*q**5 + 0 + 0*q**4 - 2*q**2 + 1/6*q**6 + q. What is the first derivative of c(m) wrt m?
20*m**3
Let r be 0 - 2 - (-1 + 0). Let l be -3 - r*6 - 1. Differentiate 7*j - l*j - 4 + 2 - j wrt j.
4
Let z(w) = 3*w**2 - 15*w - 4. Let t(b) = 7*b**2 - 29*b - 7. Let l(h) = 4*t(h) - 7*z(h). Find the second derivative of l(p) wrt p.
14
Let d(a) be the first derivative of 3 + 0*a**5 + 0*a + a**5 + a - 3*a. What is the derivative of d(c) wrt c?
20*c**3
Let o(q) = -5*q**3 + 6*q. Let r(y) = -10*y + 14*y**3 + 2*y - 9*y. Let v(m) = 11*o(m) + 4*r(m). Find the second derivative of v(b) wrt b.
6*b
Let h(d) = 39*d**2 - 33*d - 24. Let m(l) = 5*l**2 - 4*l - 3. Let y(f) = -4*h(f) + 33*m(f). What is the derivative of y(r) wrt r?
18*r
Let t(i) be the second derivative of 0 + 1/3*i**3 + i + 7/2*i**2. Differentiate t(s) with respect to s.
2
Let i(p) = 8*p**3 + 3*p**2 + 3*p + 3. Let r(d) = -32*d**3 - 12*d**2 - 11*d - 11. Let g(u) = 22*i(u) + 6*r(u). Find the third derivative of g(f) wrt f.
-96
Let n(w) be the second derivative of 43*w**5/20 + 17*w**2/2 - 12*w. Differentiate n(v) wrt v.
129*v**2
Suppose 0*q = -3*q - 4*i - 14, 5*q - 35 = 5*i. Find the third derivative of 6*p - 6*p + 3*p**3 + 4*p**q wrt p.
18
Find the second derivative of -19*s**3 + 2*s + 0*s + 21*s**3 wrt s.
12*s
Let h(a) be the first derivative of 17*a**6/6 - 15*a**2/2 + 12. Find the second derivative of h(v) wrt v.
340*v**3
Find the second derivative of -2*p**4 + 9*p**4 + p + 3*p wrt p.
84*p**2
Let r be (-6 + 6)/((-6)/(-2)). Let x(y) be the first derivative of 0*y**4 - 1 + 0*y**2 - 2*y + r*y**3 + 1/5*y**5. What is the first derivative of x(u) wrt u?
4*u**3
Suppose 0 = -5*j - 5*r + 5, 5*j - 2*r + 0*r = 12. What is the first derivative of -5*w**2 + 4*w**2 + 2*w**j + 1 wrt w?
2*w
Differentiate -2*u**2 + 3 - 7 + 15*u**2 - 2*u**2 wrt u.
22*u
Let q(b) be the second derivative of -b**3/6 + 3*b**2/2 - 4*b. Let w(h) = -h + 2. Let i(a) = 3*q(a) - 5*w(a). What is the first derivative of i(v) wrt v?
2
Let j(v) = v**2. Let m(h) = -2*h**2 - 16*h. Let n(s) = -3*j(s) - m(s). Find the second derivative of n(k) wrt k.
-2
Let f be -3 + 4 - (-1 + -2). Find the third derivative of -3*i**2 - 14*i**5 - 4*i**4 + 4*i**f + 18*i**5 wrt i.
240*i**2
Let c = 19 + -9. Suppose -z - c = -6*z. Differentiate 6*q**4 - 5*q**4 - 1 - z wrt q.
4*q**3
Let l(p) = p**3 + 18*p**2 - 40*p - 6. Let a(s) = -s**3 - 18*s**2 + 42*s + 5. Let j(h) = -6*a(h) - 5*l(h). What is the second derivative of j(x) wrt x?
6*x + 36
Let v(x) be the third derivative of 5*x**6/24 + 4*x**5/15 + 25*x**2. Find the third derivative of v(u) wrt u.
150
Let u(y) = y**4 - y**3 - y**2 - y - 1. Let l(t) = 10*t**4 - 6*t**3 - 13*t**2 - 6*t - 68. Let o(r) = -l(r) + 6*u(r). What is the derivative of o(p) wrt p?
-16*p**3 + 14*p
Find the third derivative of 18*s**2 - 8*s**5 - 17*s**5 + 19*s**5 wrt s.
-360*s**2
Suppose -6*z + 2*z = -8. Find the third derivative of b**3 + 2 - 2*b**2 + 0*b**3 - z wrt b.
6
Find the third derivative of -6*n**2 - 3*n**5 + n**5 + 6*n**5 + n**5 wrt n.
300*n**2
Find the first derivative of 3 + c**4 - 2 - 5*c**4 wrt c.
-16*c**3
Suppose 0*r = -2*r + 4. Find the third derivative of -3*d**4 - r*d**4 + 6*d**4 - d**2 wrt d.
24*d
Let s(m) be the first derivative of 3 + 0*m**4 - 2/5*m**5 + 0*m**3 + 0*m + 3/2*m**2. What is the second derivative of s(h) wrt h?
-24*h**2
Let i(h) be the first derivative of 0*h**2 + 1 - 3/5*h**5 + 1/3*h**3 + 0*h**4 + 0*h. Find the third derivative of i(d) wrt d.
-72*d
Differentiate -26*k**4 - 964*k + 964*k + 28 with respect to k.
-104*k**3
Let h be -1 + 4 - (-9)/(-3). Let f(z) be the second derivative of z + 0*z**3 + 0 + h*z**4 - 1/10*z**5 + 1/2*z**2. What is the derivative of f(b) wrt b?
-6*b**2
Let a(f) = f**3 + 4*f**2 - 5*f + 1. Let j be a(-5). What is the first derivative of -t - 1 - 6 + 4 + j wrt t?
-1
Let k(o) be the third derivative of 3*o**6/40 - 3*o**4/8 + 2*o**2. Find the second derivative of k(a) wrt a.
54*a
Let p(c) be the third derivative of c**6/180 - c**4/8 - c**3/6 - 2*c**2. Let v(f) be the first derivative of p(f). Differentiate v(k) wrt k.
4*k
What is the first derivative of -5*x - 9*x + 16*x + 24 - 4*x**2 wrt x?
-8*x + 2
Let s(v) be the first derivative of -4*v**4 - 43*v**2/2 + 1. Find the second derivative of s(u) wrt u.
-96*u
Let o(y) be the second derivative of -7/6*y**3 - 7*y + 0*y**2 + 7/20*y**5 + 0*y**4 + 0. Find the second derivative of o(s) wrt s.
42*s
Let s(g) = 2*g**2 + 2*g - 8. Let a(h) = -2*h + 7. Let m(z) = 3*a(z) + 4*s(z). Differentiate m(r) with respect to r.
16*r + 2
Let v(w) = -19*w**3 + 4*w**2 - 4*w + 4. Let x(g) = 38*g**3 - 8*g**2 + 7*g - 7. Let y(h) = 7*v(h) + 4*x(h). Find the third derivative of y(j) wrt j.
114
Let n(r) be the first derivative of 6*r**5/5 + r**3 - 4*r**2 - r + 4. What is the second derivative of n(c) wrt c?
72*c**2 + 6
Let v(z) = 9*z**3 - 5*z - 2. Let i(y) = 10*y**3 - 5*y - 3. Suppose 4*x - 6 + 14 = 0. Let q(j) = x*i(j) + 3*v(j). Find the second derivative of q(r) wrt r.
42*r
Let z(q) be the second derivative of q**4/8 - 2*q**3/3 + q**2/2 - 3*q. Let y(r) be the first derivative of z(r). Find the first derivative of y(b) wrt b.
3
Let l = -12 + 13. Differentiate -u**3 + 1 - 1 + l with respect to u.
-3*u**2
Suppose 0 = -3*h + h + 4. What is the derivative of 3 - 4 - h*c**2 + 1 + 3 wrt c?
-4*c
Suppose -3*v = 3*u + 8 - 26, -4*u - 5*v = -28. What is the third derivative of 7*y**2 - y**u - 3*y**2 + 4*y**5 wrt y?
240*y**2
Let l(d) = 3*d**2 + 4*d + 7. Let v = 4 - 0. Let f = v + 0. Let u(b) = -6*b**2 - 9*b - 15. Let c(x) = f*u(x) + 9*l(x). What is the derivative of c(p) wrt p?
6*p
Let c(t) = t**3 + 6*t**2 + 3*t - 6. Let n(d) = -d**3 - 5*d**2 - 2*d + 5. Let u = 6 - 1. Let z(h) = u*c(h) + 6*n(h). What is the second derivative of z(r) wrt r?
-6*r
Let y(j) be the third derivative of -j**8/240 - j**6/45 + j**3/2 + 7*j**2. Let d(z) be the first derivative of y(z). What is the third derivative of d(t) wrt t?
-168*t
Suppose 4 = 3*s + 2*r - 12, -5 = 5*s - 3*r. What is the first derivative of 3*d**s - 3 + 3 - 10 wrt d?
6*d
Let d(z) = 3. Let t(y) = -y - 9. Suppose 3*b + 3*p + 48 = 6*p, 24 = -b + 5*p. Let g(c) = b*d(c) - 4*t(c). Differentiate g(q) wrt q.
4
Suppose 2 = -2*h + 6. Differentiate -6*j + 4*j + 4 + h*j - 3*j**2 wrt j.
-6*j
Find the third derivative of -10*r**2 + 2*r**2 - r**3 - 4*r**3 wrt r.
-30
Find the third derivative of u**4 - 5*u**4 + 9*u**4 - 4*u**2 wrt u.
120*u
Let g(i) = -12*i - 7. Let h(z) = -25*z - 13. Let s(d) = 7*g(d) - 3*h(d). What is the derivative of s(c) wrt c?
-9
Let k(o) be the third derivative of o**9/28 + 3*o**5/20 + 12*o**2. What is the third derivative of k(a) wrt a?
2160*a**3
Let i(g) be the second derivative of g**6/24 - g**5/60 - 2*g**2 - 3*g. Let d(q) be the first derivative of i(q). What is the third derivative of d(c) wrt c?
30
Suppose z = -2*l - 1, 2*l + 1 = 5*z - 6. Differentiate -z - u**2 + 2 - 3*u**2 with respect to u.
-8*u
Let o = 13/11 - 145/132. Let b(c) be the third derivative of 0*c + 2*c**2 + 0 + o*c**4 + 1/6*c**3. Differentiate b(j) wrt j.
2
Let k(x) = -3*x - 4. Let n be k(-2). Find the second derivative of -2*s**2 - 5*s**2 + 3*s**n + 3*s wrt s.
-8
Let f(j) = 12*j**2 - 26*j + 7. Let l(h) = 4*h**2 - 9*h + 2. Let c(u) = -2*f(u) + 7*l(u). Find the second derivative of c(k) wrt k.
8
Let g(y) = y**2 - y + 1. Let h = 2 - 6. Let x(d) = 6*d**3 - 4*d**2 - 6*d - 4. Let l(c) = h*g(c) - x(c). Find the second derivative of l(q) wrt q.
-36*q
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