third derivative of a**7/840 - a**6/36 + a**3/6 + a**2. Let l(p) be the first derivative of n(p). Find the third derivative of l(z) wrt z.
6
Let z(r) be the second derivative of 0*r**2 + 0*r**5 + 0*r**4 + 0 + 1/10*r**6 + 5*r + 1/2*r**3. Find the second derivative of z(i) wrt i.
36*i**2
Let a(u) be the third derivative of -u**4/12 - u**3/6 + 7*u**2. Find the first derivative of a(c) wrt c.
-2
Let z(y) = -66*y**2 - 17*y - 55. Let j(w) = -22*w**2 - 6*w - 18. Let a(q) = -17*j(q) + 6*z(q). What is the first derivative of a(f) wrt f?
-44*f
Let t(y) = y + 2. Let p be t(-2). Suppose 3*x = -4*c - p*x + 42, 0 = -2*c + 3*x + 12. What is the derivative of -9*k**2 + c*k**2 + 2 + 2*k**3 wrt k?
6*k**2
Let s be (4 + -3)/((-1)/(-3)). Suppose 0 = 4*n - m - s, 4*n + 0 + 2 = 2*m. What is the third derivative of -z - z**5 + n*z**2 + z wrt z?
-60*z**2
Let p(i) = -i**2 - 8*i - 1. Let x be p(-7). Find the second derivative of 4 + 2*d**2 - d - x + 2 wrt d.
4
Let h(t) = 3*t + 1. Let o(z) = -3*z - 1. Let g(l) = -4*h(l) - 5*o(l). What is the derivative of g(q) wrt q?
3
Let j(s) = s**2 + 4*s - 10. Let c be j(-6). Let a = 0 + 2. Differentiate c + 2*z**a + 1 - 2 with respect to z.
4*z
Let m = 6 + -6. Suppose m = p + 2, -3*z = -5*z + 4*p + 14. Find the third derivative of 2 - 2 + z*y**6 + 4*y**2 - 2*y**6 wrt y.
120*y**3
Let k(o) be the first derivative of 2*o**3 + 3*o**2 + 5. What is the second derivative of k(r) wrt r?
12
Let a(j) be the second derivative of -j**9/3780 - j**5/40 - j**4/3 + 2*j. Let t(o) be the third derivative of a(o). What is the derivative of t(x) wrt x?
-16*x**3
Let o(l) be the second derivative of -4*l**3/3 + l**2/2 - 7*l. Differentiate o(q) with respect to q.
-8
Differentiate -4 + 3*c**2 - 5*c**2 + 20 - 14*c**2 with respect to c.
-32*c
Let m(s) be the first derivative of s**10/1008 - s**6/120 + 4*s**3/3 + 5. Let y(d) be the third derivative of m(d). Find the third derivative of y(q) wrt q.
600*q**3
Let m(o) = -3*o + 1. Let r be m(-1). Let t = 2 - -1. Find the third derivative of b**2 + 3*b**3 - t*b**3 + r*b**4 wrt b.
96*b
Suppose -4*b - y + 15 + 38 = 0, 4*y = 20. Let v = -10 + b. What is the derivative of 3*f**2 + f - f - v + 0*f wrt f?
6*f
Let x(f) be the third derivative of 0*f + 0*f**5 + f**3 + 0*f**6 + 0 + 7*f**2 + 1/105*f**7 + 0*f**4. What is the derivative of x(h) wrt h?
8*h**3
Differentiate 15 - 29 + 3*t**2 + 20 wrt t.
6*t
Let v be (2/(-2))/2*0. Let b = 2 - v. Find the third derivative of -2*o**2 - b*o**6 + 0*o**6 + 4*o**2 wrt o.
-240*o**3
Suppose 6 = -5*j + 8*j. Suppose -t + 4*i - 15 = 3, 5*i = -3*t + 31. What is the second derivative of 0*d - d + d**t + j*d wrt d?
2
Let f(w) be the third derivative of -w**6/40 - w**5/30 + 71*w**3/6 + 6*w**2 - w. Differentiate f(a) with respect to a.
-9*a**2 - 4*a
Let r be (-16)/(-7) - 2/7. Let s(f) = 3*f + 1 - 2 + 0. Let x(t) = 10*t - 3. Let b(w) = r*x(w) - 7*s(w). What is the first derivative of b(v) wrt v?
-1
Find the second derivative of 0*m - 4*m + 0*m - m - m**5 wrt m.
-20*m**3
Let b(m) = 19*m**6 - 6*m**3 + 2*m**2 + 6. Let o(j) = -18*j**6 + 5*j**3 - 2*j**2 - 5. Let k(h) = 5*b(h) + 6*o(h). Find the third derivative of k(u) wrt u.
-1560*u**3
Let h = 11/12 - 7/12. Let r(k) be the second derivative of -3*k + 0 + 3/2*k**2 - h*k**3. Differentiate r(w) with respect to w.
-2
Let r be 2 + -4 - -1 - -1. What is the second derivative of -5*z + 6*z + 6*z**4 + r*z**4 wrt z?
72*z**2
Suppose -2*t + 6 + 4 = 0. Find the third derivative of -5*s**5 + 2*s**5 + s**t - s**2 wrt s.
-120*s**2
What is the second derivative of -16*f + 10*f + 43*f**5 + 46*f wrt f?
860*f**3
Let v = -28 + 28. Let u(s) be the second derivative of v - 2*s - 3/20*s**5 + 0*s**3 + 1/3*s**4 + 0*s**2. What is the third derivative of u(k) wrt k?
-18
Let d(p) be the second derivative of 0 - 2*p + 1/2*p**2 - 1/6*p**3. Find the first derivative of d(f) wrt f.
-1
Find the third derivative of 7*q**2 + 12*q**2 - 18*q**4 - 22*q**2 + 2*q**4 wrt q.
-384*q
Let g be (-10)/(-2)*(-10)/25. Let n = 4 + g. What is the third derivative of 4*b**n - 2*b**2 + b**2 + b**4 wrt b?
24*b
Let p(n) be the first derivative of -7*n**4/4 + 14*n**2 - 31. What is the second derivative of p(b) wrt b?
-42*b
Let z(c) be the second derivative of -11*c**4/12 - 9*c**2/2 + 12*c. What is the derivative of z(d) wrt d?
-22*d
Let g(f) = 8*f**2 + 30*f + 5. Let c(p) = 1. Let t(j) = 5*c(j) - g(j). What is the second derivative of t(z) wrt z?
-16
Suppose -10 = -4*t - t. Find the second derivative of b**3 + b + 0*b**3 - b**3 - t*b**3 wrt b.
-12*b
Suppose z - 12 = -2*g - z, 5*g + 3*z = 24. Differentiate 2*c**2 + 4*c**2 + g - 2*c**2 with respect to c.
8*c
Find the second derivative of 54*g**2 - 13*g**5 + 40*g - 54*g**2 wrt g.
-260*g**3
Let r(v) be the third derivative of v**6/24 - v**4/4 - 5*v**2. What is the second derivative of r(s) wrt s?
30*s
Suppose -14*z + 5 + 37 = 0. Let r = 9 + -6. Find the third derivative of -4*q**2 + q**z + 0*q**3 + 2*q**3 + q**r wrt q.
24
Let m(q) be the first derivative of -q**5/5 - q**2/2 - 8. Find the second derivative of m(z) wrt z.
-12*z**2
Suppose 0*n - n = -3. Let u = 1 - -2. Find the second derivative of p**5 - n*p**5 + 4*p - u*p wrt p.
-40*p**3
Suppose r = 2*r - 1. What is the third derivative of 2*o**4 - r - 3*o**2 + 1 - o**2 wrt o?
48*o
Let b(t) be the first derivative of -7*t**7 + 2*t**3/3 - 25*t - 16. What is the third derivative of b(v) wrt v?
-5880*v**3
Let b = -6 - -12. Find the second derivative of -5*c**2 + b*c**2 + c - 6*c wrt c.
2
Let o(z) be the first derivative of 9*z**7/7 - 10*z**3/3 + 15. What is the third derivative of o(y) wrt y?
1080*y**3
Let y(s) be the third derivative of s**8/420 + s**5/24 - 2*s**3/3 + s**2. Let c(g) be the first derivative of y(g). Find the second derivative of c(j) wrt j.
48*j**2
What is the derivative of 6*k**3 + 8 + 9*k**3 - 6*k**3 wrt k?
27*k**2
Let z = 6 + -3. Find the third derivative of -3*l**5 + z*l**5 + 3*l**2 - 2*l**5 wrt l.
-120*l**2
Suppose 6 = 2*s + 2. Suppose -s*x + 4 = -0*x. What is the second derivative of q + q + x*q**5 - q - 3*q wrt q?
40*q**3
Let k(g) be the first derivative of -9*g**4/4 + 5*g + 10. What is the first derivative of k(l) wrt l?
-27*l**2
Suppose 12 = 2*x + 4. Suppose -4*j + x = -2*j. What is the derivative of 0 + 4 - 3 - j*f**4 wrt f?
-8*f**3
Let n(j) be the first derivative of j**5/20 + j**3/6 - 3*j + 1. Let a(l) be the first derivative of n(l). What is the second derivative of a(z) wrt z?
6*z
Let a = -1 - -1. Find the third derivative of 6*l**2 - 3*l**2 + a*l**2 - 4*l**3 wrt l.
-24
Let o(j) be the second derivative of 3*j**5/10 + 7*j**3/6 + 3*j. Find the second derivative of o(s) wrt s.
36*s
Find the third derivative of -11 + 5*r**2 + 5 + 6 + 6*r**4 wrt r.
144*r
Let u(r) be the second derivative of 17*r**6/30 - r**3/6 - 19*r**2/2 - 9*r - 4. Find the second derivative of u(d) wrt d.
204*d**2
Find the third derivative of -y**2 - y**4 - 295*y + 295*y wrt y.
-24*y
Let j(b) be the third derivative of 0*b**3 + 0*b**7 + 0*b**5 + 0 + b**2 + 0*b**6 - 5/24*b**4 + 0*b + 5/336*b**8. What is the second derivative of j(f) wrt f?
100*f**3
Suppose -4*d + 5 = -3. Suppose 2 = d*f - 4. Find the second derivative of -3*a - a + 2*a + 2*a**f wrt a.
12*a
Let m(x) = x**2 - x + 2. Let d be m(0). Find the third derivative of 0*a**3 - 3*a**3 + 0*a**2 - 2*a**2 + 0*a**d wrt a.
-18
Let s(a) be the second derivative of -1/12*a**4 + 0*a**3 + 0 + 0*a**2 + 0*a**5 + 1/15*a**6 + 5*a. Find the third derivative of s(y) wrt y.
48*y
Let n(l) be the second derivative of 0 + 2/3*l**3 + 0*l**4 + 0*l**5 - 5*l + 0*l**2 - 1/10*l**6. Find the second derivative of n(h) wrt h.
-36*h**2
Let a(n) be the first derivative of n**8/336 + n**5/30 + n**2/2 + 2. Let g(u) be the second derivative of a(u). Find the third derivative of g(h) wrt h.
60*h**2
Let w(q) be the third derivative of 0 + 0*q**4 - 1/2*q**3 - q**2 + 0*q**5 - 1/30*q**6 + 0*q. Find the first derivative of w(v) wrt v.
-12*v**2
Let b(u) be the first derivative of u**6/120 + u**4/24 - 5*u**2/2 + 4. Let c(n) be the second derivative of b(n). What is the second derivative of c(r) wrt r?
6*r
Suppose -3*l - 4*j + 1 = 0, 2*j - 11 + 0 = -5*l. Suppose 4 = l*r - 2. What is the third derivative of 2*n**r - 4*n**3 + 0*n**3 + 2*n**3 wrt n?
-12
Let j(s) be the third derivative of s**6/120 + s**5/