Differentiate k(s) wrt s.
-40*s**3
Let d be (0*4/20)/2. Let g(o) be the first derivative of o**3 - 3/5*o**5 - 4 + d*o + 0*o**4 + 0*o**2. What is the third derivative of g(l) wrt l?
-72*l
Let m = -10 - -11. Suppose 7 = 2*c + m. Find the second derivative of c*i - 4*i**5 + 2*i + i - 3*i wrt i.
-80*i**3
What is the third derivative of -4*g**4 + g**2 - 11*g**2 - 10*g**4 wrt g?
-336*g
Let m(d) be the second derivative of -19*d**8/28 + d**4/6 + d**2 + 58*d. What is the third derivative of m(k) wrt k?
-4560*k**3
Suppose 0*f + 14 = 2*f. What is the second derivative of -6*m**2 + f - 7 - 3*m wrt m?
-12
Differentiate -1 + 20*d**4 - 5 - 24*d**4 with respect to d.
-16*d**3
Let w(t) be the first derivative of -t**3 + 3*t**2 + 8. Find the second derivative of w(j) wrt j.
-6
Let h(z) = 15*z**3 + 15*z**2 + 9*z + 9. Let l(t) = -t**3 - t**2 - t - 1. Let p(n) = h(n) + 9*l(n). What is the third derivative of p(i) wrt i?
36
Suppose -15 = -6*z + 111. What is the third derivative of k**2 - 21*k + z*k - 2*k**5 - 2*k**2 wrt k?
-120*k**2
Let g(i) be the second derivative of i**6/30 + i**5/60 + i**2/2 + 3*i. Let t(w) be the first derivative of g(w). What is the third derivative of t(u) wrt u?
24
Let x(i) be the first derivative of 5/4*i**4 + 0*i**3 + 2 - 5/2*i**2 + 0*i. Find the second derivative of x(j) wrt j.
30*j
Let d(c) = c + 7. Let j be d(-7). Suppose 0 = 5*k + 5*h - 10, -4*k - k + 4*h + 28 = j. Differentiate -1 + 1 - k + 2 - 4*a**2 wrt a.
-8*a
Find the third derivative of -25*m**3 - 165*m + 165*m - 40*m**2 wrt m.
-150
Let v(i) be the second derivative of 22*i**7/21 - 19*i**3/6 - 14*i. What is the second derivative of v(k) wrt k?
880*k**3
What is the second derivative of p**3 + 40 + p**3 - 4*p - 40 wrt p?
12*p
Let t(u) be the second derivative of -2*u + 1/20*u**5 + 0*u**4 + 0*u**2 + 1/3*u**3 + 0. Find the second derivative of t(s) wrt s.
6*s
Let m(a) be the first derivative of 0*a**2 - 3/4*a**4 + 4 + 0*a + 1/3*a**3. What is the third derivative of m(s) wrt s?
-18
Let o(t) = -23*t**3 - 2*t**2 - 2*t + 21. Let g(n) = -92*n**3 - 9*n**2 - 9*n + 83. Let b(r) = 2*g(r) - 9*o(r). Find the first derivative of b(a) wrt a.
69*a**2
Let q be (6/(-5))/(8/(-20)). Suppose 2*m - 7 = -q. What is the derivative of -4*d**m + 6 - 3*d**3 - 2 + 4*d**2 wrt d?
-9*d**2
Let l = -6 + 15. Suppose -3*g = -2*c - 9 - 2, 3*g - 3*c - l = 0. What is the third derivative of -6*v**g + v**2 + 2*v**5 - 2*v**2 wrt v?
-240*v**2
Let r(j) = -15*j**5 - j - 4. Let w(x) = -x**5 - x - 1. Let b(s) = r(s) - 4*w(s). What is the second derivative of b(m) wrt m?
-220*m**3
Let t = -13 - -13. What is the second derivative of s**4 + 0*s**4 + t*s**4 + 5*s wrt s?
12*s**2
Let o(i) be the third derivative of i**8/336 - 7*i**6/20 - 2*i**4/3 - 34*i**2. What is the second derivative of o(k) wrt k?
20*k**3 - 252*k
Suppose -9 = -4*s - 1. Let w(q) be the first derivative of 0*q**3 + 3 + 3/5*q**5 + 0*q**4 - s*q + 0*q**2. What is the derivative of w(o) wrt o?
12*o**3
Let h(x) be the second derivative of -x**5 - 6*x**2 + 9*x. What is the derivative of h(b) wrt b?
-60*b**2
Let b(l) be the first derivative of 0*l + 1/3*l**3 + 3 + l**2. What is the second derivative of b(f) wrt f?
2
Suppose 2*k = 3*x - 31, -4*x - 3*k + 47 = -0. Let d = -8 + x. What is the second derivative of -g - 4*g**d - 3*g**4 + 4*g**3 + 0*g wrt g?
-36*g**2
Differentiate 2*j - 17 + 4 + 4*j + 8 wrt j.
6
Let n(x) be the third derivative of -x**5/10 - 3*x**3/2 + 8*x**2. Find the first derivative of n(v) wrt v.
-12*v
Let m(n) = -n + 3. Let u(g) = -2*g + 6. Suppose t + 9 = -2*t. Let q(x) = t*u(x) + 5*m(x). Differentiate q(b) wrt b.
1
What is the derivative of 19*i**2 + 12*i**2 + 6 - 3*i**2 + 2 wrt i?
56*i
Let z(m) be the first derivative of -m**9/504 - m**5/30 + m**2/2 + 1. Let w(q) be the second derivative of z(q). Find the third derivative of w(x) wrt x.
-120*x**3
Let u(i) = -2*i**2 + 4*i. Let f(n) = -10*n**2 + 20*n. Let x(g) = -2*f(g) + 11*u(g). Find the second derivative of x(r) wrt r.
-4
Suppose -4*k + 6 = -k. Suppose 3*r - 5*q - 26 = -3*q, -4 = q. What is the third derivative of -2*o**r + o**2 + 0*o**2 - 3*o**k wrt o?
-240*o**3
Let z(f) = -2*f + 4. Let n(r) = r**3 - 8*r**2 - 9*r - 1. Let i be n(9). Let g(v) = v. Let h(y) = i*z(y) - 5*g(y). What is the first derivative of h(j) wrt j?
-3
Suppose 5*r = 3*d + 12, -11 + 1 = -5*r + 5*d. Differentiate 0*t + r - 2*t - 3*t + t wrt t.
-4
Let v = -9 + 17. What is the third derivative of 9*d**5 - v*d**5 - 7*d**2 + 5*d**3 - 5*d**3 wrt d?
60*d**2
Let i(y) = -y**3 + y**2 - y - 1. Let k(x) = 16*x**3 - 8*x**2 + 18*x + 8. Let g(b) = 8*i(b) + k(b). What is the second derivative of g(z) wrt z?
48*z
Let z(i) = -4*i. Let x(f) = 1. Suppose 0 = -3*r - b - b + 5, -17 = r - 4*b. Let o(d) = r*z(d) - 3*x(d). Find the first derivative of o(l) wrt l.
4
Suppose 0 = -3*a + 19 - 4. Suppose a*l - 6 = k + 3, -l - 3 = -5*k. Differentiate -3 + 2*d + l*d - d + 1 with respect to d.
3
Let i = 3 - 8. Let y = i - -9. Differentiate -2 - 5*a**y + 3*a**4 - 1 + 3*a**4 wrt a.
4*a**3
Suppose 4*f = -5*k, -2*f = -k - 4*f - 6. Differentiate -4 + 2 - 6 - k*r**2 + 5 with respect to r.
-8*r
Find the third derivative of 3*u**2 - 9*u**2 + 3*u**4 + 0*u**4 + u**4 wrt u.
96*u
Let c(v) be the first derivative of -v**4/4 + 2*v - 19. Find the first derivative of c(x) wrt x.
-3*x**2
What is the second derivative of -16*m**3 + 15*m - 34*m + 28*m wrt m?
-96*m
Let c = 4 + 0. Let o = c + -2. Find the second derivative of -f**o - 1 + 1 + 2*f wrt f.
-2
Let i(n) = n + 3. Let b be i(-3). Differentiate b + 3 - 5 + q - 2 with respect to q.
1
Let h(j) = -7*j**2 - 2*j + 4. Let l(o) = -22*o**2 - 7*o + 11. Let s(n) = 7*h(n) - 2*l(n). Find the first derivative of s(u) wrt u.
-10*u
Differentiate 24 - 36*l**2 - 3 - 25 - 22 wrt l.
-72*l
Suppose 22 = 3*t - 5. Find the second derivative of t*a + 10*a + 5*a**5 - 24*a wrt a.
100*a**3
Let h(y) be the third derivative of -y**8/168 - 7*y**4/24 - 4*y**2. What is the second derivative of h(b) wrt b?
-40*b**3
Let u(y) = 6*y**4. Let f(b) = -24*b**4 - b**2. Let z(c) = -2*f(c) - 9*u(c). Find the third derivative of z(g) wrt g.
-144*g
Let d(r) = 2*r - 7. Suppose 3*a = -5*v + 2*a - 8, -2*v - 4*a = 14. Let m(i) = -i. Let c(l) = v*d(l) - 5*m(l). Differentiate c(w) wrt w.
3
Let g be (-1)/(-1) + 1/(-1). Suppose -7*w + 9*w - 8 = 0. Differentiate -2*r**w - 1 - 2*r + g*r**4 + 2*r wrt r.
-8*r**3
Suppose 0*i = 4*i - 60. Let r = -11 + i. What is the second derivative of 4*p**2 - 31 + r*p + 31 wrt p?
8
What is the second derivative of 4*l**5 - 10*l**5 - 13*l**5 + 4*l**5 + 9*l wrt l?
-300*l**3
Let v(p) = p**2 + 7*p**4 + 2*p - 12*p**4 + 2*p**4. Let k(b) = 9*b**4 - 4*b**2 - 7*b. Let g(x) = 6*k(x) + 21*v(x). Find the third derivative of g(m) wrt m.
-216*m
Let n(a) = 6*a**3 + a**2 - 2*a - 24. Let l(k) = -12*k**3 - 3*k**2 + 5*k + 47. Let v(x) = -2*l(x) - 5*n(x). What is the derivative of v(f) wrt f?
-18*f**2 + 2*f
Let f = -2 - -5. Let k(o) be the first derivative of -o - 2 - 1/2*o**4 + 0*o**2 + 0*o**f. Differentiate k(u) with respect to u.
-6*u**2
Let f(l) be the third derivative of 0*l**3 + 0*l + 0 + 0*l**4 - 1/70*l**7 - 1/20*l**5 + 0*l**6 + 2*l**2. Find the third derivative of f(p) wrt p.
-72*p
Let y(v) be the second derivative of 0 - 1/10*v**5 + 3*v + 0*v**4 + 2*v**2 + 0*v**3. Find the first derivative of y(j) wrt j.
-6*j**2
Let d(p) be the third derivative of p**6/24 + 7*p**3/6 - 4*p**2. Differentiate d(t) wrt t.
15*t**2
Let u = 1 + 2. Differentiate -u*n + 5 - 2 + 0 - 2 with respect to n.
-3
Let c(n) be the first derivative of n**4/4 - 25*n**3/3 + 21. Find the third derivative of c(m) wrt m.
6
Let d(u) be the second derivative of -u**10/1260 + u**6/90 - 2*u**3/3 - 4*u. Let s(b) be the second derivative of d(b). Find the third derivative of s(g) wrt g.
-480*g**3
Find the second derivative of -8*j + 0*j**2 + 4*j + 2*j + 5*j**2 wrt j.
10
Let f(x) = x**3 + x**2 - x - 1. Let u(t) = t**4 + 4*t**3 + 4*t**2 + 6*t - 4. Let l(j) = -4*f(j) + u(j). Find the second derivative of l(n) wrt n.
12*n**2
Suppose 32 = 5*a - 4*c, -c = a + a - 5. What is the second derivative of 69*u**a + 0*u - 72*u**4 + 4*u wrt u?
-36*u**2
Suppose 2*w - 9 = -3*b, -4*b + 5 + 7 = -3*w. What is the third derivative of -12*p**3 + 12*p**b + 6*p**5 - 3*p**2 wrt p?
360*p**2
Find the second derivative of 55*o**