
Let y(m) = 10*m**2 - 20*m. Let h(k) = 11*k**2 - 19*k. Let s(x) = 5*h(x) - 4*y(x). What is the second derivative of s(n) wrt n?
30
Suppose -3*h + 7 = 5*z, -3*h - 1 + 0 = z. What is the second derivative of 8*n - 2*n**4 - n**2 + n**z - n**4 wrt n?
-36*n**2
Let n(m) = -4*m**2 - 2*m + 1. Let x(q) = q**2 + q + 1. Let v be (-8)/(-6)*6/4. Let u(w) = v*x(w) + n(w). What is the derivative of u(k) wrt k?
-4*k
Suppose -4*a = -0*a. Find the third derivative of -5*f**4 - f**2 + a*f**4 - 3*f**2 wrt f.
-120*f
Let u(r) be the second derivative of -r**5/2 - 7*r**3/2 + 23*r. What is the second derivative of u(b) wrt b?
-60*b
Let m(y) be the third derivative of 5*y**8/336 + y**5/30 - 3*y**2. What is the third derivative of m(j) wrt j?
300*j**2
Let y(x) be the first derivative of -9*x**4/4 - 19*x**3 + 11. What is the third derivative of y(d) wrt d?
-54
Let y(f) be the first derivative of 2*f + 1 - f**2 + 1/3*f**3. Let l(j) be the first derivative of y(j). What is the first derivative of l(c) wrt c?
2
Let v(t) be the second derivative of 0*t**4 + 0 + t**2 + 0*t**3 + 4*t + 1/5*t**5. What is the derivative of v(z) wrt z?
12*z**2
Let q(m) be the second derivative of 0*m**3 + 2*m**2 - 3/20*m**5 + 0*m**4 + 3*m + 0. Find the first derivative of q(v) wrt v.
-9*v**2
Let i(q) be the third derivative of q**9/28 - 23*q**5/60 + 21*q**2. What is the third derivative of i(y) wrt y?
2160*y**3
What is the third derivative of -2*v**2 - 3*v**4 + 3*v**2 - 2*v**4 + 3*v**2 wrt v?
-120*v
Let z be 2 + -3 + -3 + 4. Let d(n) be the first derivative of z*n**3 + 0*n**2 - 1/4*n**4 - 1 + 2*n. Find the first derivative of d(x) wrt x.
-3*x**2
Let q(z) be the first derivative of z**10/5040 + z**6/90 + 5*z**3/3 - 5. Let u(r) be the third derivative of q(r). Find the third derivative of u(g) wrt g.
120*g**3
Let k(g) be the first derivative of g**8/336 - g**6/72 - 5*g**3/3 + 1. Let w(a) be the third derivative of k(a). What is the third derivative of w(c) wrt c?
120*c
Let q(z) = 27*z**2 + 13*z + 8. Let m(o) = 13*o**2 + 6*o + 4. Let n(i) = 13*m(i) - 6*q(i). Find the first derivative of n(f) wrt f.
14*f
Let b(s) = s**3 + s**2 - s - 1. Let r(o) = 9*o**3 + 3*o**2 - 12*o - 3. Let t(m) = 3*b(m) - r(m). Find the second derivative of t(i) wrt i.
-36*i
Let k = 7 - 4. Suppose 4*y = k*y. Find the third derivative of -n**2 + 0*n**3 + 2*n**4 + y*n**3 wrt n.
48*n
Suppose 0*s = 4*s + 5*b + 21, -4*s - 3*b = 11. What is the derivative of 6 - 3*g**4 - s + 7*g**4 - 2 wrt g?
16*g**3
Let h(q) be the second derivative of -q**4/6 - q**3/3 + q. What is the second derivative of h(g) wrt g?
-4
Let g(v) be the second derivative of v**3/6 + 3*v**2 - 5*v. What is the derivative of g(l) wrt l?
1
Let d be ((-2)/(-5) - (-14)/(-35))*1. Let v(n) be the first derivative of -3 + 0*n**3 - 1/2*n**4 - 2*n + d*n**2. What is the derivative of v(j) wrt j?
-6*j**2
Let s(r) = -50*r**5 + 4*r**2 + 2*r + 2. Let u(x) = x**5 - x**2 + x - 1. Let w(i) = s(i) + 4*u(i). What is the second derivative of w(n) wrt n?
-920*n**3
Let c(v) = 2*v - 12. Let n be c(9). Let p = -4 + n. What is the third derivative of -x**5 - x**6 + 6*x**2 - 3*x**p + x**5 wrt x?
-120*x**3
Let q(f) = -120*f**4 - 11*f**3 + 25*f**2. Let t(o) = -24*o**4 - 2*o**3 + 5*o**2. Let s(i) = -2*q(i) + 11*t(i). Find the third derivative of s(r) wrt r.
-576*r
Differentiate -2 - 2*y**2 + 5 + 12 wrt y.
-4*y
Let o(d) be the second derivative of 1/2*d**2 - 1/3*d**3 + 0 + 3*d. Differentiate o(a) with respect to a.
-2
Let p(d) = -d**2. Suppose 0 = -2*q - 24. Let x(a) = 4*a**2 - 1. Let y(c) = q*p(c) - 4*x(c). Differentiate y(f) wrt f.
-8*f
Let t(m) = -m - 2. Let s be t(-6). What is the third derivative of -5*i**2 - 2*i**2 + s*i**6 + 5*i**2 wrt i?
480*i**3
Let a(x) = -x - x**2 + 4*x**2 - 2 - 2*x. Let i(t) = t + 1. Let b(f) = -a(f) - 2*i(f). Find the second derivative of b(n) wrt n.
-6
Let i(o) = -o. Let a(p) = -4*p**2. Let m(k) = -a(k) - i(k). Find the second derivative of m(d) wrt d.
8
Let z(q) be the third derivative of -19*q**8/336 - 4*q**5/15 - 6*q**2. What is the third derivative of z(h) wrt h?
-1140*h**2
Let f(m) be the second derivative of -7*m**6/10 + m**4/3 - 32*m. Find the third derivative of f(u) wrt u.
-504*u
Let h(j) = -8*j**4 + 24. Let i(f) be the third derivative of -f**7/70 + 4*f**3/3 + 7*f**2. Let p(a) = 6*h(a) - 17*i(a). Differentiate p(g) wrt g.
12*g**3
What is the first derivative of 8*u**2 + 6 - 1 + 5 - 4 wrt u?
16*u
What is the second derivative of -31*s + s**2 + s**2 + 28*s wrt s?
4
Differentiate -7 - b**4 - 11*b**4 - 8*b**4 + 10*b**4 with respect to b.
-40*b**3
Let b(n) be the first derivative of 11*n**6/2 - 2*n**2 - 15. Find the second derivative of b(w) wrt w.
660*w**3
Suppose r = 4*r. Let t be r/((-1)/(-3 + 2)). Differentiate -l**3 - 2 + 3 + t*l**3 wrt l.
-3*l**2
Let d(u) = 9*u**3 - 7*u**2 + 7*u - 9. Let z(v) = v**3 - v**2 + v - 1. Let o(g) = 2*d(g) - 14*z(g). Find the first derivative of o(p) wrt p.
12*p**2
Let o(x) = 7*x**3 + 2*x**2 - 11*x + 2. Let q(v) = v**2 - v + 1. Let t(j) = -o(j) + 2*q(j). Find the second derivative of t(z) wrt z.
-42*z
Let z(y) = 4*y**6 - 3*y**4 - 3*y**3 - y**2. Let b(c) = 4*c**6 - 4*c**4 - 4*c**3. Let i(o) = 3*b(o) - 4*z(o). What is the third derivative of i(f) wrt f?
-480*f**3
Let b(g) = -6*g**3 + 55*g + 5. Let f(r) = 7*r**3 - 56*r - 4. Let c(t) = -4*b(t) - 5*f(t). What is the second derivative of c(q) wrt q?
-66*q
Let j(g) be the third derivative of g**6/10 - 11*g**3/6 + 12*g**2. Differentiate j(o) wrt o.
36*o**2
Let a be -3 - (-4)/(4/5). What is the second derivative of -3*b + 8*b**3 + a*b**5 - 8*b**3 wrt b?
40*b**3
Let y(a) be the second derivative of a**7/210 + 5*a**4/24 - 7*a**3/6 - 3*a. Let r(q) be the second derivative of y(q). What is the derivative of r(b) wrt b?
12*b**2
Suppose 10*b - 20 = 6*b. Let k be (0 - b)*8/(-20). What is the second derivative of 6*z**2 - z**2 - 4*z - 3*z**k wrt z?
4
Let p(k) be the first derivative of 2/3*k**3 + 1 + 0*k**2 + 0*k**4 + 0*k**5 + 1/3*k**6 + 0*k. What is the third derivative of p(f) wrt f?
120*f**2
Suppose -n + 2*n = 4*u + 15, 0 = -5*n - 3*u + 98. Suppose -n = q - 0*d + 5*d, -4*q + 2*d = -12. Differentiate v**2 + 2 - q - 2*v**2 wrt v.
-2*v
Suppose g - 3*g = -10. Find the first derivative of -3*j**2 + g - 3 + j**2 wrt j.
-4*j
Let c(h) be the first derivative of 4*h**5/5 - 16*h**3/3 + 6. What is the third derivative of c(u) wrt u?
96*u
Let z(b) be the third derivative of 3*b**7/35 + b**5/3 + 13*b**2. Find the third derivative of z(c) wrt c.
432*c
Let q(t) = -9*t**4 - 3*t**3 + 44*t - 3. Let r(f) = -26*f**4 - 8*f**3 + 132*f - 8. Let j(h) = 8*q(h) - 3*r(h). Find the second derivative of j(g) wrt g.
72*g**2
What is the second derivative of 54*n - 24*n**2 + 8*n**2 + 9*n**2 + 6*n**2 + 15*n**3 wrt n?
90*n - 2
Let w(p) = -p**2 + p. Let j(k) = -5*k**4 + 6*k**2 + 4*k. Let d(a) = -j(a) + 4*w(a). Find the third derivative of d(r) wrt r.
120*r
Let b(s) be the second derivative of 31*s**6/30 - 23*s**4/12 + 29*s. What is the third derivative of b(l) wrt l?
744*l
Let g(j) be the third derivative of 0*j**3 - 2*j**2 + 0 + 1/8*j**4 + 1/105*j**7 + 0*j**6 + 0*j**5 + 0*j. Find the second derivative of g(a) wrt a.
24*a**2
Let q be (-1)/3 + (-14)/(-6). What is the second derivative of -2*u - u + 4*u + u + q*u**3 wrt u?
12*u
Let d(p) be the third derivative of p**8/1680 + p**5/30 + p**4/12 + 3*p**2. Let f(m) be the second derivative of d(m). What is the derivative of f(t) wrt t?
12*t**2
Let l(f) be the first derivative of 4*f**7/7 - 13*f**3/3 + 9. What is the third derivative of l(p) wrt p?
480*p**3
Suppose 0 = -2*f + 4, f = -b - 3*b + 10. What is the third derivative of -j**2 - 1 + j**4 + 1 - j**b wrt j?
24*j
What is the derivative of 4*m**2 + 2 + m**2 + 3 + 0 wrt m?
10*m
Let b = 6 + -5. Let t(w) = -2*w**3 + 2 + w**3 + b - 2*w**3. Let n(p) = p**3 - 1. Let v(u) = 5*n(u) + 2*t(u). Differentiate v(d) with respect to d.
-3*d**2
Find the third derivative of 2*x**2 + 6*x**4 + 3*x**4 + 3*x**2 - 5*x**4 wrt x.
96*x
Let r = 9 - 4. Suppose -r*b = -b - 20. Find the third derivative of -4*d**2 + 2*d**b + 3*d**2 + 0*d**5 wrt d.
120*d**2
Let k(n) be the first derivative of n**4/2 + 10*n**3/3 + 4. What is the third derivative of k(f) wrt f?
12
Let i(l) = -18*l**4 + 5*l**2 + 5*l - 4. Let x(w) = 18*w**4 - 4*w**2 - 4*w + 3. Let b(q) = 4*i(q