e ((-3)/(-2))/((-1)/(-6)). Let n(u) = u**2 - 7*u - 13. Let k be n(w). Find the second derivative of 2*a - a**k - a - a**5 wrt a.
-40*a**3
Let v(k) be the third derivative of k**8/168 - 3*k**7/70 - 4*k**5/5 - 3*k**2. Find the third derivative of v(t) wrt t.
120*t**2 - 216*t
Let k(l) be the third derivative of -l**8/48 - 37*l**5/60 - 7*l**2. Find the third derivative of k(f) wrt f.
-420*f**2
Let j(h) = 11*h**3 + 5*h**2 - 4. Let t(k) = 10*k**3 + 4*k**2 - 4. Let s(q) = 4*j(q) - 5*t(q). Differentiate s(l) with respect to l.
-18*l**2
Let s(d) = -d - 1. Let k(m) = -7*m + 2. Let x(b) = -k(b) + 3*s(b). Differentiate x(q) wrt q.
4
Suppose 2*y - 50 = 2*r, -3*y - 74 = -6*y + 2*r. What is the first derivative of -y*w - 1 - 4*w**2 + 24*w wrt w?
-8*w
Let v be 4/10 + (-13)/(-5). Find the third derivative of 5*o**6 + v*o**5 + 0*o**5 - 5*o**2 - 3*o**5 wrt o.
600*o**3
Let l(p) = 3*p**3 - 6*p**2 - 15*p - 6. Let o(m) = 5*m**3 - 13*m**2 - 30*m - 13. Let s(c) = 13*l(c) - 6*o(c). What is the second derivative of s(w) wrt w?
54*w
Let z(s) be the third derivative of -13*s**8/168 - 3*s**4/8 + 38*s**2. What is the second derivative of z(d) wrt d?
-520*d**3
Differentiate -4*k + k - 3*k + 3 + 3*k wrt k.
-3
Suppose -3*t + 7 = -4*n - 13, -2*n + 5*t - 24 = 0. Let g be 2/(n + (-5)/(-2)). Find the third derivative of 2*b**2 + 4*b**2 - 3*b**2 + b**g wrt b.
24*b
Suppose 9*k = 7*k + 4. What is the third derivative of 2*r**3 - r**2 + 2*r**3 + r**3 - k*r**3 wrt r?
18
Let f(r) be the first derivative of r**3/3 - 2*r**2 - 2*r - 1. Let t be f(5). What is the third derivative of -3*c**3 - 5*c**2 + 4*c**2 + 6*c**t - c**2 wrt c?
18
Let i = 159 + -159. Let s(x) be the first derivative of 3 - x**2 - 2/3*x**3 + i*x. Find the second derivative of s(p) wrt p.
-4
Let s be 2/(2 - 12/8). Differentiate -1 + s - 2 - 6*u + 5 with respect to u.
-6
Suppose 7 + 1 = 2*p - 2*j, 2*p + 5*j + 13 = 0. Let l = 18 - 18. Find the first derivative of h - p + h + l wrt h.
2
Let o(i) be the third derivative of 4*i**5/15 - 7*i**4/8 - 31*i**2. What is the second derivative of o(q) wrt q?
32
Let q be (4 - 3)*(1 - -3). Find the second derivative of p - 2*p + q*p**4 - p wrt p.
48*p**2
Let t = -8 + 10. What is the third derivative of -5*p**3 - p**2 + p**3 + t*p**3 wrt p?
-12
Let y(q) be the third derivative of q**9/20160 + q**6/360 + q**5/30 - 3*q**2. Let w(t) be the third derivative of y(t). Differentiate w(c) wrt c.
9*c**2
What is the second derivative of -12*g - 145*g**2 + 13*g**4 + 145*g**2 wrt g?
156*g**2
Suppose -2*d + 6 = 0, 6*r + d - 33 = r. Let t = -4 + r. Find the second derivative of -u**t + 0 + 0 - 2*u wrt u.
-2
Let g(t) be the second derivative of -4*t**8/7 - t**4/6 + 5*t. Find the third derivative of g(q) wrt q.
-3840*q**3
Let d(m) = m**2 - 6*m + 8. Let s be d(6). What is the second derivative of 3*a**4 - s*a**3 + 8*a**3 + a wrt a?
36*a**2
Let n be 32/((-12)/20 + 1). What is the third derivative of -r**2 - n*r + 80*r - r**3 wrt r?
-6
Let k(b) be the first derivative of -2*b**5/5 + b**3 - 7. What is the third derivative of k(s) wrt s?
-48*s
Find the second derivative of 235 + 5*t + 11*t**5 - 235 wrt t.
220*t**3
Let n(a) = a**2 + 7*a + 9. Suppose -2*r - 12 = -0*r. Let v be n(r). Find the second derivative of 3*t - t**v - t**3 - t wrt t.
-12*t
Let u(j) be the second derivative of -j**6/30 + j**4/8 + j**2 + 2*j. Let i(n) be the first derivative of u(n). What is the second derivative of i(m) wrt m?
-24*m
Suppose 4 = -3*b + 5*b. Find the third derivative of -d**6 - 2*d**6 - d**b + 2*d**2 + 6*d**2 wrt d.
-360*d**3
Let o(f) = -5*f - 4. Let w(s) = 11*s + 9. Let j(a) = 13*o(a) + 6*w(a). Let g be j(-2). What is the second derivative of 2*i**2 + 0 + g + 3*i wrt i?
4
Let d(f) be the third derivative of f**6/90 + f**5/60 + f**4/3 + f**2. Let r(v) be the second derivative of d(v). What is the derivative of r(y) wrt y?
8
Suppose -s = 3*s - 12. Find the third derivative of 0 + 0 + 3*i**2 + 2*i**3 + i**s wrt i.
18
Let v(w) be the third derivative of -23*w**7/210 + 11*w**3/6 - 12*w**2. Find the first derivative of v(q) wrt q.
-92*q**3
Let x(z) be the first derivative of -z**6/30 + z**4/6 + 2*z + 1. Let l(h) be the first derivative of x(h). Find the third derivative of l(g) wrt g.
-24*g
Let v(k) be the second derivative of k**6/30 + 7*k**3/6 - 2*k. Find the second derivative of v(t) wrt t.
12*t**2
Let g(x) be the first derivative of x**8/840 - 5*x**4/24 - 2*x**3/3 + 3. Let z(i) be the third derivative of g(i). Differentiate z(r) with respect to r.
8*r**3
Let c(l) be the first derivative of 0*l**2 + 0*l**4 + 0*l + 2/5*l**5 + 2/3*l**3 + 1. Find the third derivative of c(f) wrt f.
48*f
Differentiate g - 741*g**2 + 5*g + 4*g + 50 + 743*g**2 with respect to g.
4*g + 10
Let m(f) be the third derivative of f**8/336 - f**4/4 + f**3 - 3*f**2. Let k(s) be the first derivative of m(s). What is the first derivative of k(g) wrt g?
20*g**3
Let x(t) be the first derivative of t**5/20 - 2*t**2 + 2*t + 4. Let o(i) be the first derivative of x(i). What is the derivative of o(c) wrt c?
3*c**2
Differentiate -7 + v**2 + 1 + 0 + 0*v**2 with respect to v.
2*v
Let z(t) be the second derivative of -t**9/7560 + t**6/720 + t**4/12 - 4*t. Let h(r) be the third derivative of z(r). Find the second derivative of h(v) wrt v.
-24*v**2
Let x(c) = -85*c**2 + 66*c. Let u(p) = -17*p**2 + 13*p. Let q(y) = 11*u(y) - 2*x(y). Find the second derivative of q(i) wrt i.
-34
Let f(n) = 4*n**5 - 2*n**4 + 4*n**3 + 13*n**2 + 4*n - 2. Let j(t) = t**3 + t**2 + t - 1. Let h(q) = -f(q) + 4*j(q). What is the third derivative of h(l) wrt l?
-240*l**2 + 48*l
Let v(k) be the third derivative of k**5/10 + k**3/2 - 10*k**2. Find the first derivative of v(h) wrt h.
12*h
Let f be 46/10 - (-12)/30. What is the second derivative of 3*s**5 - 3*s - s + 0*s**5 - 2*s**f wrt s?
20*s**3
Let y(f) be the first derivative of 5*f**6 + 11*f**2/2 + 16. Find the second derivative of y(w) wrt w.
600*w**3
Find the third derivative of -3*d**2 - d**2 + d**2 + 0*d**2 - 7*d**6 wrt d.
-840*d**3
Let i(s) = 2*s**2 + 2*s - 1. Let t be i(1). Suppose 6*q = t*q + 3. What is the derivative of 4*u**4 + 1 - 7*u**4 + q wrt u?
-12*u**3
Let p be ((-6)/4 + 2)*20. Let v be 7/5 + (-4)/p. Find the second derivative of -2 + 1 + c - c**5 + v wrt c.
-20*c**3
Let i(t) = 9*t**3 - 4*t**2 + 1. Let d(v) = 27*v**3 - 11*v**2 + 2. Let w(y) = 4*d(y) - 11*i(y). What is the derivative of w(b) wrt b?
27*b**2
Suppose -k - 2*k = 3*p + 21, -p - 2 = 0. Let i = -2 - k. What is the second derivative of 0*h**3 - i*h**3 - 21*h**2 + 21*h**2 - 3*h wrt h?
-18*h
Let r be 2 + (-1 - 0 - -1). Suppose r*h - 4 = 4. Find the first derivative of -2*i**h + 0 + 1 + 4*i**4 - 2 wrt i.
8*i**3
Suppose 6*w = w + 25. Suppose b = -w*m + 13, -m - m + 2 = 2*b. What is the second derivative of p**4 + m*p**2 - 2*p - 3*p**2 wrt p?
12*p**2
Let q(k) be the first derivative of -7*k**6/120 + k**3/2 + 7*k**2/2 - 1. Let x(j) be the second derivative of q(j). What is the first derivative of x(g) wrt g?
-21*g**2
Let g(c) be the third derivative of c**9/504 + 23*c**5/60 + 34*c**2. What is the third derivative of g(v) wrt v?
120*v**3
Find the second derivative of -g**3 - 3*g**3 - 4*g + g**3 wrt g.
-18*g
Let q(x) = -30*x**4 + 8*x**3 + 35*x**2 + 8*x. Let w(b) = -10*b**4 + 3*b**3 + 12*b**2 + 3*b. Let k(v) = 3*q(v) - 8*w(v). Find the third derivative of k(n) wrt n.
-240*n
Let y(a) be the third derivative of a**7/210 - a**6/15 + 2*a**4/3 + a**2 - 8. Find the second derivative of y(m) wrt m.
12*m**2 - 48*m
Let c(v) = -3*v**2 + 6*v - 2. Let w(m) = 7*m**2 - 13*m + 4. Let q(t) = -4*t - 1. Let n be q(3). Let d(x) = n*c(x) - 6*w(x). Differentiate d(j) wrt j.
-6*j
Let d(z) be the third derivative of -13*z**5/30 + z**4/24 + 37*z**2. What is the second derivative of d(g) wrt g?
-52
Let h(i) be the first derivative of 0*i**2 + 1 + 0*i**5 + 5/6*i**6 + 0*i**4 + 4/3*i**3 + 0*i. What is the third derivative of h(g) wrt g?
300*g**2
Find the third derivative of -4*x**4 + 3*x**4 - 11*x**4 + 3*x**2 wrt x.
-288*x
Let u be (-5 - -5) + 2/3. Let h(v) be the first derivative of -u*v**3 - 1 + 0*v**2 - 3*v. What is the derivative of h(f) wrt f?
-4*f
Let b(w) be the first derivative of w**6/60 + w**3/6 + 3*w**2/2 + 3. Let k(n) be the second derivative of b(n). Differentiate k(t) wrt t.
6*t**2
Find the th