2
Let x(b) = -b**3 + 5*b**2 + 6*b + 2. Let c be x(6). Suppose -4*v - v + 10 = 0. Find the second derivative of -c*n**2 + 0*n + v*n - 4*n wrt n.
-4
Let w(n) be the third derivative of -n**8/840 + n**4/12 + n**3/3 + 3*n**2. Let g(h) be the first derivative of w(h). Differentiate g(v) with respect to v.
-8*v**3
Let w(b) be the third derivative of -b**9/252 + b**5/12 + 9*b**2. Find the third derivative of w(g) wrt g.
-240*g**3
What is the third derivative of -3*p**6 + 14*p - 7*p**6 + 6*p**6 + 2*p**2 wrt p?
-480*p**3
Let w(n) = n**3 + 2*n**2 - 5*n - 1. Let r be w(-3). Find the third derivative of 4*t**5 + 26*t**4 - 26*t**4 + 2*t**r + 2*t**2 wrt t.
360*t**2
Let r(w) = -11*w**3 + 8*w + 4. Let z(a) = 32*a**3 - 23*a - 11. Let o(i) = 11*r(i) + 4*z(i). What is the second derivative of o(m) wrt m?
42*m
What is the second derivative of 6*l + 0*l**3 - 3*l**3 - l**3 wrt l?
-24*l
Let i(z) = -z + 1. Let w(g) = -6*g**2 - 6 + 0*g**2 - 3*g + 8. Let f(x) = 3*i(x) - w(x). Differentiate f(a) with respect to a.
12*a
Let f(a) = -a**3 + a + 3. Let r(o) = o**3 - 2*o - 5. Let g(x) = 5*f(x) + 3*r(x). What is the second derivative of g(i) wrt i?
-12*i
Let b(j) = -4*j**3 + 6*j**2 + 6*j + 8. Let h be 17*(-3)/(-6)*-2. Let o(d) = 11*d**3 - 17*d**2 - 17*d - 23. Let q(a) = h*b(a) - 6*o(a). Differentiate q(l) wrt l.
6*l**2
Let l = -11 - -16. Suppose 2*r + 0*r + 3*p = -l, 0 = 2*r - p - 7. What is the second derivative of 6*u**2 - 2*u - 6*u**2 + r*u**4 wrt u?
24*u**2
Suppose 5*c - 6 = 5*k - 3*k, -4*c + 12 = 2*k. Differentiate -c - 2*i + 6*i - 3 - 2*i wrt i.
2
Find the third derivative of 21*j**2 - 11*j**2 + 3*j**2 + 14*j**2 + 32*j**4 wrt j.
768*j
Suppose 4*m - 17 = -9. What is the third derivative of -3*d**3 - 3*d**m + 4*d**5 + 4*d**2 + 3*d**3 wrt d?
240*d**2
Let o(h) be the third derivative of -h**7/840 + h**5/15 + h**4/4 - 7*h**2. Let b(v) be the second derivative of o(v). Differentiate b(d) wrt d.
-6*d
Let n(s) = 16*s**4 - 5*s**2 + 5*s - 6. Let q(l) = 8*l**4 - 3*l**2 + 3*l - 3. Let w(m) = -3*n(m) + 5*q(m). What is the first derivative of w(c) wrt c?
-32*c**3
Let q(p) = -p**3 + p + 2. Let v be (-2 + 1)*0/(-3). Let x be q(v). Find the third derivative of 4*i**2 - x*i**3 + i**2 - 2*i**2 wrt i.
-12
Find the third derivative of 2*r**2 - 8*r**5 + 2*r**2 + 12*r**2 wrt r.
-480*r**2
Let y be (3/6)/((-3)/(-18)). Let r(t) be the first derivative of 0*t**2 - 3/4*t**4 - 1 + t + 0*t**y. What is the derivative of r(j) wrt j?
-9*j**2
Suppose -4*z - 3 - 1 = -2*p, -4*z = -5*p + 10. Differentiate -3*x**3 - p*x - 3 + 2*x wrt x.
-9*x**2
Let i(p) = 3*p - 1. Let x be i(2). What is the third derivative of 6*c**3 + 0*c**3 + 3*c**2 - 6*c**3 + 3*c**x wrt c?
180*c**2
What is the third derivative of 45*g**3 - 2*g**2 - 5*g**2 + 0*g**2 wrt g?
270
Let j(d) be the third derivative of d**6/120 - 7*d**3/6 - 5*d**2. Find the first derivative of j(f) wrt f.
3*f**2
Let q = 1 + 2. Suppose -2*r + 3 = -q. Differentiate -r*w**3 + w**3 + 0 + 1 with respect to w.
-6*w**2
Let y(s) = s**2 - 2*s - 1. Let q be y(-3). Let n = q + -9. What is the third derivative of 3*x**2 + 2*x - 2*x**n - 2*x + 0*x wrt x?
-120*x**2
Let b(k) = -11*k + 23. Let c(n) = -11*n + 24. Let h(w) = 4*b(w) - 3*c(w). What is the first derivative of h(m) wrt m?
-11
Suppose -5*x + 10 = -0. What is the second derivative of -s**4 - x*s + 3*s**4 + 3*s**4 wrt s?
60*s**2
Let i(t) be the second derivative of -43*t**7/42 + 5*t**4/3 - 18*t. What is the third derivative of i(m) wrt m?
-2580*m**2
Let i = 4 - 2. Find the third derivative of 4*h**6 + 3*h**i - 5*h**6 - h**3 + h**3 wrt h.
-120*h**3
Let v(m) be the third derivative of 17*m**5/30 + 13*m**3/6 - 32*m**2 + 2. Differentiate v(d) wrt d.
68*d
Let o = 14 - 10. Find the second derivative of -n + o*n**3 - n**3 + 0*n wrt n.
18*n
Let y be -7 - -3 - -8*1. Find the first derivative of 1 + 8 + 0 - 1 + y*g wrt g.
4
Suppose 0 = i + 5 - 2. Let v(f) = -5*f - 2*f - 1 - 5. Let o(x) = 20*x + 17. Let y(z) = i*o(z) - 8*v(z). Differentiate y(t) wrt t.
-4
Let f(h) be the third derivative of -7*h**5/12 + 2*h**4/3 + 36*h**2. Find the second derivative of f(c) wrt c.
-70
Let q = 4 - 8. Let j(g) = g + 8. Let w be j(q). Find the third derivative of -3*z**3 - 2 - z**2 + w*z**3 + 2 wrt z.
6
Suppose 0 = 4*z - 0*z. Suppose z = 4*d - 4 - 4. Find the third derivative of -2*b**2 + 3*b**2 - b**4 - d*b**2 wrt b.
-24*b
Let a(h) be the first derivative of -h**4/12 + h**3/3 + 8*h + 6. Let y(f) be the first derivative of a(f). Find the second derivative of y(q) wrt q.
-2
Suppose -3*h - 2 + 11 = 0. What is the third derivative of -n**5 - n**4 + n**4 - h*n**2 wrt n?
-60*n**2
Let n(w) be the second derivative of 0*w**5 + 1/6*w**4 + 0 + 0*w**3 + 0*w**6 + 0*w**2 - 1/14*w**7 - 3*w. What is the third derivative of n(h) wrt h?
-180*h**2
Let q = 18 + -14. Find the first derivative of -1 + 3 + 3*h + 0 - q*h wrt h.
-1
Suppose 2*n = 4*n - 5*a + 6, -3*a = 2*n - 10. Find the first derivative of -n*f - f - 1 + f + f wrt f.
-1
Let g be (1/(-2) - 0)*-16. Suppose 5*m = g + 12. What is the first derivative of 3 - 2*h**m - 6 + 2 wrt h?
-8*h**3
Let q(u) be the second derivative of -1/3*u**4 + 0 + 0*u**2 + 4*u + 0*u**6 + 0*u**5 - 1/14*u**7 + 0*u**3. What is the third derivative of q(i) wrt i?
-180*i**2
Let n(x) = -x**3 - 7*x**2 + 7*x - 6. Let q be n(-8). What is the first derivative of 3*b**2 - 8*b**2 - q - b**2 wrt b?
-12*b
Let s(x) be the first derivative of -4*x**4 - 7*x - 3. What is the first derivative of s(w) wrt w?
-48*w**2
Let v(h) be the second derivative of 3*h**5/20 + 2*h**2 - 2*h. What is the first derivative of v(i) wrt i?
9*i**2
Let u(c) be the first derivative of c**5/20 + c**3/6 + 2*c**2 - 4. Let t(x) be the second derivative of u(x). Find the first derivative of t(g) wrt g.
6*g
Let c(g) = -2*g + 1. Let i be c(-4). Suppose 2*s - 1 = i. Find the second derivative of -5*o**3 - o**4 + 0*o**4 + 2*o + s*o**3 wrt o.
-12*o**2
Let k(d) be the second derivative of 4*d**4 + d**2 + d. Find the first derivative of k(r) wrt r.
96*r
Suppose 3*a = t - 13, 5*t + 0*a - 17 = -a. Let r(w) be the third derivative of -1/2*w**3 + 0 + 1/6*w**t - 2*w**2 + 0*w. Differentiate r(k) wrt k.
4
Let i(f) be the first derivative of 3 + 0*f**2 + 4/3*f**3 + f**4 + 0*f. Find the third derivative of i(s) wrt s.
24
Find the second derivative of f**4 - 24 - 29 + 5*f**4 - 7*f + 51 + f**3 wrt f.
72*f**2 + 6*f
Let c(g) = 16*g**2 + 6*g - 20. Let w(h) = -48*h**2 - 17*h + 59. Let s(z) = -17*c(z) - 6*w(z). What is the derivative of s(k) wrt k?
32*k
Let t(n) = -22*n**3 + 17*n. Let i(u) = -23*u**3 + 16*u. Let j(s) = -6*i(s) + 5*t(s). What is the second derivative of j(h) wrt h?
168*h
Suppose -18 = j + 3*d, 5*j + d + 31 = 11. Let u(p) = -p**3 - 1. Let s(b) = b**3. Let t(f) = j*s(f) - u(f). What is the derivative of t(i) wrt i?
-6*i**2
Let q be (9 - 0)*6/18. Let l(c) be the third derivative of 0 + c**2 + 1/24*c**4 + 0*c**q + 1/60*c**5 + 0*c. Find the second derivative of l(t) wrt t.
2
Let f(m) be the second derivative of -19*m**7/42 - m**5/10 + 2*m**3/3 + 3*m**2/2 + 2*m - 24. What is the second derivative of f(p) wrt p?
-380*p**3 - 12*p
Let x(s) = 38*s**3 + 59*s**2 - 5*s. Let r(y) = -13*y**3 - 20*y**2 + 2*y. Let t(q) = 17*r(q) + 6*x(q). What is the third derivative of t(d) wrt d?
42
Let q(m) be the second derivative of 0 + 0*m**2 + 5/12*m**4 + 4*m + 1/6*m**3. What is the second derivative of q(d) wrt d?
10
Let s(g) be the second derivative of g**5/60 - g**4/12 + 7*g**2/2 + 6*g. Let v(z) be the first derivative of s(z). Find the second derivative of v(h) wrt h.
2
Let m(a) be the third derivative of -17*a**6/60 + a**5/12 - 23*a**2. What is the third derivative of m(o) wrt o?
-204
Let i(b) = 21*b**2 + 13*b - 19. Let f(k) = 10*k**2 + 6*k - 9. Let u(a) = 13*f(a) - 6*i(a). Differentiate u(h) with respect to h.
8*h
Let f(j) be the first derivative of 1/3*j**3 - 3/2*j**2 - 1 + 0*j - 1/8*j**4. Let x(m) be the second derivative of f(m). Differentiate x(y) wrt y.
-3
What is the second derivative of 3*z**5 - 4*z + 2 - 2 wrt z?
60*z**3
Let j(l) be the third derivative of 0 + 0*l**6 - 5/24*l**4 + 0*l**3 + 0*l**5 + 0*l + 5*l**2 - 3/70*l**7. Find the second derivative of j(p) wrt p.
-108*p**2
Let a(i) = i**4 - 2*i + 5. Let k(p) = 2*p**4 - 3*p + 6. Let u(f) = 3*a(f) - 2*k(f). Differentiate u(t) with respect to t.
-4