5*a**3 - 24*a**2 - 4*a. Let f(n) = -5*n**3 + 25*n**2 + 5*n. Let p(w) = -4*f(w) - 5*u(w). What is the third derivative of p(t) wrt t?
-30
Let h be 9/4 + 1/(-4). Let o(r) = -r**3 + 4*r**2 - 2*r. Let u be o(3). Find the third derivative of -k**6 + 4*k**u - 4*k**3 - h*k**2 wrt k.
-120*k**3
Let j(t) be the second derivative of -t**7/210 + t**5/60 - t**2/2 - 4*t. Let h(d) be the first derivative of j(d). Find the third derivative of h(s) wrt s.
-24*s
Let h(r) be the first derivative of -r**9/1512 + r**6/120 - 5*r**3/3 - 2. Let p(i) be the third derivative of h(i). Find the third derivative of p(o) wrt o.
-120*o**2
Let r = -1 - -1. Suppose r = 4*y - y - 9. Differentiate -1 - n**3 + 2*n**y + 3 wrt n.
3*n**2
Let n(d) be the first derivative of -4 + 1/2*d**2 + 7*d. Find the first derivative of n(c) wrt c.
1
Suppose 3 = 3*r - 3. What is the third derivative of -3*u**2 + r*u**2 - 4*u**5 + 2*u**2 + 5*u**5 wrt u?
60*u**2
Let j be 6/(-9)*(-6)/(-4). Let q = j - -5. Find the third derivative of 3*i**2 + 3*i**4 - 2*i**q - i**2 wrt i.
24*i
Suppose 5*b - 62 = -17. Suppose 2*w - 3 = -2*z - 9, 2*w - z = b. What is the derivative of -3 + 3 + 3 + 3*o**w wrt o?
6*o
Suppose 68 = 2*w - 32. Let f be 140/w + (-1)/(-5). Find the second derivative of 5*o - 2*o - o + 0*o + f*o**3 wrt o.
18*o
Let f(w) be the second derivative of -9*w**8/56 + 4*w**4/3 + 25*w. What is the third derivative of f(a) wrt a?
-1080*a**3
Let m(l) = l**2 - 3*l - 2. Let d(i) = 2*i + 1. Let a(w) = 5*d(w) + 3*m(w). Let z be a(1). Find the third derivative of g**2 + 2*g**z + 0*g**2 - 3*g**3 wrt g.
-6
Let n(v) be the third derivative of -v**6/60 - 5*v**4/24 + 11*v**2. Find the second derivative of n(y) wrt y.
-12*y
Let h(a) = -24*a**4 - 8*a**2 + 4*a - 8. Let w(n) = -8*n**4 - 3*n**2 + n - 3. Let m(c) = 3*h(c) - 8*w(c). What is the second derivative of m(v) wrt v?
-96*v**2
Let h(m) = -5*m**3 - 2*m**2 - 4*m - 2. Let k(b) = b**2 + 1. Let f(y) = h(y) + 2*k(y). What is the second derivative of f(w) wrt w?
-30*w
Let w(f) = -29*f**3 + 21*f. Let l(c) = -14*c**3 + 10*c. Let y(s) = -7*l(s) + 3*w(s). Find the second derivative of y(g) wrt g.
66*g
Let n be 0 + (11 - 0) + 1. Suppose -n = g - 4*j + 4, -5*j = 3*g - 37. Find the first derivative of -3 + v**g + v**4 + 5 wrt v.
8*v**3
Let v(n) be the second derivative of -n**7/105 + 4*n**3/3 - 2*n**2 + 3*n. Let t(w) be the first derivative of v(w). Find the first derivative of t(r) wrt r.
-8*r**3
What is the third derivative of 36*p**2 + 40*p**2 - 75*p**2 - 41*p**3 - 42 wrt p?
-246
What is the second derivative of 3*x**4 + 7*x - x - 16*x**4 + 7*x wrt x?
-156*x**2
Let o(l) = -3*l. Let x be o(-2). What is the third derivative of -4*c**2 + 4*c**x - 7*c**2 + 17*c**2 wrt c?
480*c**3
Let w(a) be the second derivative of a**9/126 + a**5/60 - 3*a**2 - 7*a. Let h(q) be the first derivative of w(q). What is the third derivative of h(f) wrt f?
480*f**3
Suppose 2 = -2*v - 6. Let x = -1 - v. What is the third derivative of -5*s**2 + 0*s + 2*s**2 + 0*s + 2*s**x wrt s?
12
Let l be 10 - (-2 + 0)*1. What is the third derivative of 19*a**2 - 13*a**2 + 5*a**6 - l*a**2 wrt a?
600*a**3
Let b(x) be the first derivative of 26*x**6/3 + 4*x**3/3 + 68. Find the third derivative of b(a) wrt a.
3120*a**2
Suppose 0*u = 5*u. What is the second derivative of -2*p + u*p**4 + 3*p - 5*p**4 wrt p?
-60*p**2
Differentiate -4*r**2 - r**3 - 13 + 9 + 4*r**2 wrt r.
-3*r**2
Let c(l) = 20*l - 35. Let r be 2/3*(-45)/(-2). Let z(m) = 3*m - 5. Let n(u) = r*z(u) - 2*c(u). Differentiate n(s) wrt s.
5
Let n(c) be the first derivative of -1 - 6/5*c**5 + 9*c + 0*c**2 + 0*c**4 + 0*c**3. What is the first derivative of n(d) wrt d?
-24*d**3
Let t(r) be the first derivative of -32*r**5/5 - r**3/3 - 3*r**2/2 + 63. What is the third derivative of t(f) wrt f?
-768*f
What is the second derivative of 7*j + 5*j**2 - 4*j**2 + 2*j**3 - j**2 wrt j?
12*j
Let a(o) be the third derivative of -o**7/42 - o**5/15 + 3*o**2. What is the third derivative of a(l) wrt l?
-120*l
Let r(o) = -46*o**3 + 28. Let t(h) = -138*h**3 + 85. Let p(u) = 7*r(u) - 2*t(u). Differentiate p(c) with respect to c.
-138*c**2
Let x = -1 + -12. Let n = -8 - x. What is the second derivative of -2*p**5 + p**5 - 2*p + 2*p**n wrt p?
20*p**3
Let y(o) = 2*o**3 + o**2. Let s be y(1). Suppose 2 = -s*k + 8. Find the third derivative of -h**2 - 3*h**5 - 3*h**2 + 3*h**k wrt h.
-180*h**2
Suppose 0*s + s + a = -3, a - 3 = 5*s. Let z = 1 - s. Find the second derivative of z*r**3 + 2*r + 4*r - 7*r wrt r.
12*r
Let a(o) be the third derivative of -11*o**6/40 - 25*o**3/6 - 42*o**2. What is the derivative of a(u) wrt u?
-99*u**2
Let b(a) = -51*a**3 - 8*a + 21. Let h(q) = -34*q**3 - 5*q + 14. Let j(t) = 5*b(t) - 8*h(t). What is the derivative of j(s) wrt s?
51*s**2
Let k(g) be the first derivative of -3*g**6/2 + 5*g**2/2 - 1. What is the second derivative of k(t) wrt t?
-180*t**3
Let y be (-2 - 1)/(3/(-2)). Differentiate -7*u - 2 - 1 + 7*u - 2*u**y with respect to u.
-4*u
Suppose -2*g + 2 = -g. Suppose 7 = g*w + 1. What is the second derivative of 2*f + f**2 + f**2 - w*f**2 wrt f?
-2
Let g(h) = -h - 2*h**2 + 2*h**2 + 2 - h**3. Let w be g(0). What is the second derivative of 3*c**2 - 3*c**2 - w*c**3 + 2*c wrt c?
-12*c
Let c(j) be the first derivative of 0*j**5 + 0*j + 2 + 0*j**2 + 0*j**4 + 1/6*j**6 + 2/3*j**3. What is the third derivative of c(l) wrt l?
60*l**2
Let b(m) = -m**4 + m**3 - m**2 - 1. Let p(f) = 5*f**5 - 2*f**4 + 2*f**3 - 20*f**2 - 2. Let v(h) = 2*b(h) - p(h). What is the third derivative of v(o) wrt o?
-300*o**2
Let r(v) = v + 1. Let q be r(3). Find the third derivative of 0*g**2 + 2*g**6 - 5*g**2 - q*g**2 wrt g.
240*g**3
Let q(b) be the second derivative of -5*b**4/12 + 5*b**3/3 + b. What is the second derivative of q(f) wrt f?
-10
Let h = -4 - -1. Let v(u) = u + 2. Let n(j) = 6*j - 5. Let m(t) = -t. Let q(d) = -18*m(d) - 2*n(d). Let l(y) = h*q(y) + 16*v(y). Differentiate l(g) wrt g.
-2
Let w(n) be the second derivative of -5*n**4/12 + 3*n**2/2 + 7*n. What is the first derivative of w(u) wrt u?
-10*u
Let c(b) be the third derivative of 13*b**9/504 + b**5/30 - 3*b**2. Find the third derivative of c(u) wrt u.
1560*u**3
Let r(b) be the third derivative of 2/15*b**5 + 0 + 0*b + 1/6*b**3 + 9*b**2 + 0*b**4. Differentiate r(m) with respect to m.
16*m
Suppose 0*w = 2*w - 6. What is the second derivative of -2*i**4 - 4*i**4 + 4*i**4 + w*i - 4*i wrt i?
-24*i**2
Let y(r) = -5*r**2 - 27. Let p(f) = 3*f**2 + 14. Let h(i) = -5*p(i) - 2*y(i). Differentiate h(j) with respect to j.
-10*j
Let l(z) be the second derivative of 0*z**4 + 0*z**3 + 5*z + 0*z**5 - 1/6*z**6 + 0 - 5/2*z**2. Differentiate l(y) with respect to y.
-20*y**3
Let r(m) be the third derivative of -2*m**5/15 - 3*m**4/8 - 7*m**2. What is the second derivative of r(n) wrt n?
-16
Find the second derivative of 20*c**5 + 10*c + 11*c**5 + 10*c wrt c.
620*c**3
Suppose -c - 3*c + 20 = 0. Suppose 0 = i + 3*q - 13, -c*i - 11 = -6*q + 2*q. What is the first derivative of v - v - v - i wrt v?
-1
Suppose 4*o - 24 + 4 = -4*s, -5*o - 4*s + 24 = 0. Find the first derivative of -9 + 4*c**o - 27*c + 27*c wrt c.
16*c**3
Let b be (2/(-4))/((-2)/12). Find the third derivative of 4*m**b - 2*m**3 + 7 - m**2 - 7 wrt m.
12
Let w(k) = 94*k - 55. Let j(u) = 46*u - 27. Let s(q) = -5*j(q) + 3*w(q). What is the derivative of s(h) wrt h?
52
Suppose 33 = -3*i + u - 11, u + 12 = -i. Let a be 8/(-28) - 18/i. Differentiate -2*s**3 + a - 3*s**3 + 0 wrt s.
-15*s**2
Suppose 20 = 2*i + 3*i. Let b(a) be the first derivative of -2 - 1/4*a**i + 0*a**3 + 0*a**2 - 2*a. What is the first derivative of b(n) wrt n?
-3*n**2
Let j(v) = 8*v**3 + 4*v**2. Let d(i) = 7*i**3 + 4*i**2. Let l(m) = -6*d(m) + 5*j(m). Find the third derivative of l(c) wrt c.
-12
Let x(u) = 7*u**2 + 2*u - 14. Let g(l) = -14*l**2 - 5*l + 29. Let q(n) = -2*g(n) - 5*x(n). Differentiate q(s) with respect to s.
-14*s
Let f = -9 - -11. Let b(q) be the first derivative of 0*q**4 + 0*q - q**f + 0*q**3 + 1/5*q**5 + 2. Find the second derivative of b(j) wrt j.
12*j**2
Let a(j) be the second derivative of 2*j**6/15 + 2*j**3/3 + 6*j. Find the second derivative of a(n) wrt n.
48*n**2
What is the second derivative of -5*y**3 + 6*y + 7*y - y + 0*y wrt y?
-30*y
Let p(j) = 8*j**3 - 36*j - 20. Let r(l) = -l**3 + 5*l + 