(w) with respect to w.
4
Let i(f) be the third derivative of f**6/40 + f**4/3 - 8*f**2. Find the second derivative of i(a) wrt a.
18*a
Let f = 3 + -1. Let k(s) = -4*s - 3. Let b(j) = j**4 - 4*j - 2. Let t(g) = f*k(g) - 3*b(g). What is the second derivative of t(q) wrt q?
-36*q**2
Let l(r) be the second derivative of r**9/5040 - r**5/120 + 2*r**4/3 - 4*r. Let a(u) be the third derivative of l(u). Find the first derivative of a(v) wrt v.
12*v**3
Suppose 0*w = -2*w + 4. What is the third derivative of -r**w - 2*r**2 - r**3 + r**2 + 3*r**3 wrt r?
12
Let p(n) be the third derivative of n**8/336 - n**7/105 + 11*n**4/12 - 2*n**2 + 6*n. Find the second derivative of p(r) wrt r.
20*r**3 - 24*r**2
What is the third derivative of 18*f**4 - f**2 - 15*f**4 - 5*f**2 wrt f?
72*f
Suppose 0 - 4 = -k. What is the second derivative of -a - a**k - a**4 + 5*a wrt a?
-24*a**2
Let m(v) be the first derivative of v**7/420 + v**5/60 + v**3/3 - 3. Let h(c) be the third derivative of m(c). What is the second derivative of h(a) wrt a?
12*a
Let b(w) be the first derivative of 7*w**4/4 - 26*w**3/3 + 20. Find the third derivative of b(k) wrt k.
42
Let o(v) be the first derivative of 2 + 0*v + 0*v**3 - 1/4*v**4 + 5*v**2. Find the second derivative of o(p) wrt p.
-6*p
Let v be ((-4)/6)/(12/(-54)). Let c be (3/6)/(v/12). Find the second derivative of 1 - 2*w + c*w**3 + 3*w - 1 wrt w.
12*w
Let y(k) be the third derivative of -3*k**5/10 + 5*k**3 - 14*k**2. Differentiate y(d) wrt d.
-36*d
Let v(t) = -70*t**3 - 5*t**2 - 3*t + 3. Let b(o) = 105*o**3 + 7*o**2 + 4*o - 5. Let r(j) = 5*b(j) + 7*v(j). Find the second derivative of r(s) wrt s.
210*s
Differentiate -27 + 55*g - 36 + 21 with respect to g.
55
Let v be 1/(1 + 3/(-6)). Suppose 2*c + 11 = -5*x, -3*c - v*x = -4*c + 8. Find the second derivative of -c*a**4 + 6*a**2 - 4*a**2 + 2*a - 2*a**2 wrt a.
-24*a**2
Let d be (-4 + 2)/(3/(-6)). Suppose 3*j + 2 = -4*y, d*j - 2*y - 3*y - 18 = 0. Find the third derivative of j*m**4 - m**2 - 1 + 1 + 0 wrt m.
48*m
Let n(s) = 75*s**4 - 4*s**2 + 13*s - 7. Let v(p) = 224*p**4 - 11*p**2 + 40*p - 19. Let m(w) = 11*n(w) - 4*v(w). What is the second derivative of m(o) wrt o?
-852*o**2
What is the second derivative of -2*a**3 - 6*a - 14*a**3 + 29*a**3 wrt a?
78*a
Let i = -36 - -26. Let c be 18/10 + (-2)/i. What is the third derivative of -2*f**2 - f**c + 2*f**5 - 4 + 4 wrt f?
120*f**2
Let c(p) be the third derivative of -3*p**2 + 1/3*p**3 - 1/12*p**4 + 0 + 0*p. What is the first derivative of c(l) wrt l?
-2
Suppose 34 = 3*n + 2*b, 3*b - b + 2 = 0. Let f = n + -7. What is the third derivative of -5*x**5 - 2*x**f + 3*x**2 - x**2 + 5*x**5 wrt x?
-120*x**2
Suppose 26 = 5*r - u, -2*u - 12 = r - 3*r. What is the third derivative of -4*q - 3*q**2 - q + 3*q**3 + r*q wrt q?
18
Suppose 5*m = -30 + 5. Let i(a) = 2*a**2 + 4*a. Let p(k) = -2*k**2 - 4*k. Let o(w) = m*i(w) - 4*p(w). What is the second derivative of o(x) wrt x?
-4
Let l(p) be the first derivative of 6*p**3 - p**2/2 - 15*p - 37. What is the second derivative of l(o) wrt o?
36
Find the second derivative of 2*k - 30 - 30 + 59 - 61*k**2 - 4*k wrt k.
-122
What is the third derivative of -24*z**6 + 57 - 57 - 19*z**2 wrt z?
-2880*z**3
Suppose 4 + 0 = -4*l. Let f = l + 3. What is the third derivative of 0*s**5 + s**5 + 39*s**f - 37*s**2 wrt s?
60*s**2
Let h = -7 + 9. Let d be 2 + (-1 + h)*1. What is the derivative of 0 + 3 - 8*b**d + 9*b**3 wrt b?
3*b**2
Let j(y) be the second derivative of -11*y**5/20 + 7*y**4/6 + y. What is the third derivative of j(u) wrt u?
-66
Let y(w) = -w**3 + 9*w**2 - 9*w + 12. Let h be y(8). What is the third derivative of g**2 + 4*g**h + g**5 - 4*g**4 wrt g?
60*g**2
Let x(t) = -23*t**2 - 43. Let i(v) = -v**2 + 1. Let p(u) = 3*i(u) + x(u). What is the first derivative of p(j) wrt j?
-52*j
Let t(x) be the first derivative of -x**9/1008 + x**6/72 - 2*x**3/3 - 5. Let v(q) be the third derivative of t(q). Find the third derivative of v(p) wrt p.
-180*p**2
Let f(h) = 5*h + 1. Let g be f(-1). Let k(i) = i**3 - i**2 - 1. Let z(l) = 3*l**3 - 4*l**2 - 6. Let v(y) = g*k(y) + z(y). What is the derivative of v(s) wrt s?
-3*s**2
Let x be (-36)/(-20)*(4 + 1). What is the third derivative of 0*y**3 - x*y**4 + 0*y**3 + y**2 wrt y?
-216*y
Let z(u) be the third derivative of -3*u**4/8 - 11*u**3/6 - 5*u**2. What is the derivative of z(p) wrt p?
-9
Let c(r) be the second derivative of 0*r**4 - 1/2*r**3 + 0*r**6 + 0*r**2 + 0*r**5 - 5*r + 2/21*r**7 + 0. What is the second derivative of c(k) wrt k?
80*k**3
Let c(y) be the second derivative of y**7/14 + 5*y**3/6 + 2*y. What is the second derivative of c(h) wrt h?
60*h**3
Let v(k) be the second derivative of k**9/15120 + k**6/180 + k**4/6 + 3*k. Let g(q) be the third derivative of v(q). Find the second derivative of g(m) wrt m.
12*m**2
Let w(h) be the first derivative of -h**9/1512 - h**5/40 + h**3 - 3. Let c(s) be the third derivative of w(s). What is the second derivative of c(r) wrt r?
-40*r**3
Differentiate -5 + 5*r**3 - 2*r + 2*r - 1 wrt r.
15*r**2
Let l(f) = f**3 + 4*f**2 - 5*f + 2. Let n be l(-5). Suppose -4*s + 4 = -n*s. Find the second derivative of s*y**4 + y - y**2 + y**2 wrt y.
24*y**2
Let c(q) be the first derivative of -1/3*q**3 + 0*q + 1/4*q**4 + 0*q**2 + 1. Find the third derivative of c(h) wrt h.
6
What is the second derivative of 6*p + 2*p - p**3 + 0*p wrt p?
-6*p
Find the second derivative of 9*q + 2*q + 6*q + 15*q**2 - 35*q wrt q.
30
Suppose -d + 3*s = 11, s - 22 = -5*d + 3. Find the third derivative of 0*q**d + 2*q**2 + 0*q**4 + 2*q**4 wrt q.
48*q
Let a(s) = 2*s**4 - s - 1. Suppose -q = 4*b + 3, 2 = -3*b - 4*q + 3*q. Let f(o) = o - 1. Let c(h) = b*a(h) + f(h). What is the second derivative of c(j) wrt j?
-24*j**2
Let t(p) = -2*p**4 + 7*p**3 - 7*p**2 - 2*p. Let o(u) = u**4 - 6*u**3 + 6*u**2 + u. Let z(b) = 7*o(b) + 6*t(b). What is the second derivative of z(l) wrt l?
-60*l**2
Let f(z) be the third derivative of -z**9/504 + z**5/20 + 2*z**2. Find the third derivative of f(s) wrt s.
-120*s**3
Suppose -n + 15 = 4*p, -15 = 4*n + 5. Suppose p*f = 3*h + 19, -1 = -5*f - h + 6. Find the third derivative of f*y**3 + y**3 - 2 - 5*y**2 + 2 wrt y.
18
Suppose -6*o + 15 = -o. Suppose -66*x - 1 = -67*x. Find the second derivative of 3*g + x + 1 - 2 - g**o wrt g.
-6*g
Let f(b) be the second derivative of 5*b**4/12 + 7*b**3/6 + 4*b. What is the second derivative of f(a) wrt a?
10
Let o(z) = -15*z**4 - 7*z**2 + 17. Let v(q) = 7*q**4 + 3*q**2 - 8. Let w(c) = 3*o(c) + 7*v(c). Find the first derivative of w(f) wrt f.
16*f**3
What is the third derivative of -10*z**6 - 3*z**6 - 10*z**6 + 24*z**6 + 5*z**2 wrt z?
120*z**3
Suppose 4*u - 13 - 3 = 0. Differentiate -1 + 1 - 3 + u*v**2 wrt v.
8*v
Let x(a) = -a**3 + 8*a**2 + 8*a + 9. Let s be x(9). Suppose 3*o + s*o = 6. Find the third derivative of d**3 + 3*d**3 + 2*d**3 + 4*d**o - 4*d**3 wrt d.
12
Suppose 0 = -5*s + 13 + 12. Let x(w) = w**2 + 21*w - 22. Let g be x(-22). What is the third derivative of 0*b**5 - b**5 + g*b**s + b**2 wrt b?
-60*b**2
Let z(d) = -21*d**4 - 11*d**3 - d. Let o(t) = 4*t**4 + 2*t**3. Let f(g) = -22*o(g) - 4*z(g). What is the second derivative of f(s) wrt s?
-48*s**2
Differentiate -4 + 5*v**3 - 2*v**3 - 4*v**3 - 1 with respect to v.
-3*v**2
Find the second derivative of -11*f - 14 + 2*f**4 + 13*f**2 - 5*f**2 + 13*f wrt f.
24*f**2 + 16
Let k be -2*(1 + (-10)/2). Suppose -k = 2*u - 5*q, -11 = -5*u + 3*q + 7. What is the third derivative of 5*b**u - 4*b**2 - 2*b**6 + 3*b**2 - b**2 wrt b?
360*b**3
What is the third derivative of -34*t**2 + 2*t + 14*t**4 - 14*t**5 - 15*t**4 - t wrt t?
-840*t**2 - 24*t
Let d(v) = 2*v**2 + 5*v. Let u = -12 - -15. Let l(r) = r**2. Let y(p) = u*l(p) - d(p). Find the second derivative of y(h) wrt h.
2
Let a(l) = -1 + 3*l**2 + 4*l - 2*l + l**2 + 0*l**2. Let f(h) = -h**2 + h + 1. Let k(v) = -a(v) - f(v). Find the second derivative of k(p) wrt p.
-6
Let u(m) be the second derivative of 1/4*m**4 + 0*m**3 + 0 - 2/21*m**7 + m + 0*m**5 + 0*m**2 + 0*m**6. What is the third derivative of u(n) wrt n?
-240*n**2
Find the second derivative of 155*g**4 - 155*g**4 - g**5 - g**3 + 67*g - 2*g wrt g.
-20*g**3 - 6*g
What is the third derivative of -30*n**5 - 3*n**2 + 5*n**2 + 0*n**2 + 2*n**5 wrt n?
-1680*n**2
Let f(p) = -6*p - 7. Let q(