a) wrt a?
-120*a
Let j(n) be the second derivative of -n**5/20 + n**4/24 - 3*n**2/2 + n. Let i(f) be the first derivative of j(f). Find the second derivative of i(g) wrt g.
-6
Let f(r) be the first derivative of -1 + 1/6*r**4 + 0*r**3 - r - 1/2*r**2. Let q(b) be the first derivative of f(b). Differentiate q(u) wrt u.
4*u
Let o = 21 + -18. What is the second derivative of -6*g - 5*g + o*g - 3*g**2 wrt g?
-6
Let b(g) = -g**2 - 3*g**2 - 11*g + 2*g**2 - 7 - 5*g. Let v(o) = -o**2 - 5*o - 2. Let w(y) = -2*b(y) + 7*v(y). What is the second derivative of w(f) wrt f?
-6
Let q(k) be the first derivative of 6*k**4 + 42*k - 13. What is the first derivative of q(i) wrt i?
72*i**2
Let t(m) be the second derivative of -1/15*m**6 + 0*m**2 + 0 + 0*m**5 + 1/6*m**4 + 0*m**3 + 3*m. Find the third derivative of t(p) wrt p.
-48*p
Let b(w) be the first derivative of -5*w**6/3 + 7*w**3/3 + 6. Find the third derivative of b(c) wrt c.
-600*c**2
Let w = 5 - 3. Find the third derivative of 0*b**4 + 0*b**2 - 2*b**2 - 2*b**w + 2*b**4 wrt b.
48*b
Suppose -o + 0*o = 0. Suppose -g + 3 + o = 0. What is the second derivative of 3 + j + g*j**3 - 3 wrt j?
18*j
Let q(i) = -2*i**2 + 2*i + i + i**2. Let u be q(3). Find the second derivative of u*d**5 + d**5 + 0*d + 2*d wrt d.
20*d**3
Let t(c) = 3*c**2 + 2*c + 1. Let n be t(-1). Let k = n - 1. What is the first derivative of 3 - b - k + 0 wrt b?
-1
Let k(f) = -16*f**4 + 17*f**2 - 2. Let h(l) = l**4 + l**2 - 1. Let r(x) = -2*h(x) + k(x). Find the third derivative of r(i) wrt i.
-432*i
Let t(q) be the third derivative of 13*q**6/120 - 2*q**5/15 - 13*q**2. Find the third derivative of t(j) wrt j.
78
Let u(g) be the third derivative of g**6/120 + g**5/60 - g**3/2 + g**2. Let d(l) be the first derivative of u(l). What is the second derivative of d(c) wrt c?
6
Let h(g) be the third derivative of 1/24*g**6 + 0 + 4/3*g**3 + 0*g + 0*g**4 + 0*g**5 - 10*g**2. Differentiate h(p) with respect to p.
15*p**2
Let v(j) be the third derivative of -j**4/24 + 2*j**2. Let q be v(-4). Find the second derivative of -n**5 + 2*n**4 - n - 2*n**q wrt n.
-20*n**3
Let u = 11 + -9. Let f(r) be the second derivative of 1/6*r**4 - 2*r - r**u + 0 + 0*r**3. What is the first derivative of f(s) wrt s?
4*s
Let q(v) = -6*v**3 + 9*v + 5. Let y(n) = 7*n**3 - 10*n - 6. Suppose 5*j - 8 = -33. Let t(h) = j*y(h) - 6*q(h). What is the second derivative of t(p) wrt p?
6*p
Let n(g) be the second derivative of g**9/3780 + g**5/40 - g**4/12 + 3*g. Let b(s) be the third derivative of n(s). What is the derivative of b(d) wrt d?
16*d**3
What is the second derivative of 11*c**4 - 11*c**4 + 4*c + 7*c**4 wrt c?
84*c**2
Let j(c) = 53*c + 59. Let n(k) = -35*k - 39. Let h(m) = 5*j(m) + 8*n(m). Differentiate h(w) wrt w.
-15
Let v(w) be the third derivative of 1/60*w**5 + 0*w**6 - 3*w**2 + 0*w**4 + 0 + 0*w**7 - 1/112*w**8 + 0*w + 0*w**3. Find the third derivative of v(u) wrt u.
-180*u**2
Let y(z) be the third derivative of -19*z**8/336 + 19*z**4/24 + 7*z**2. What is the second derivative of y(f) wrt f?
-380*f**3
Let r(m) be the first derivative of -m**3/3 + 4*m**2 - 6*m - 3. Let x be r(7). What is the first derivative of 0 - x + 3*c**4 - 2 wrt c?
12*c**3
Let z(k) = -19*k**3 + 11*k**2. Let t(a) = 10*a**2 - 19*a**2 + 12*a**2 - 5*a**3. Let v(u) = -9*t(u) + 2*z(u). What is the third derivative of v(x) wrt x?
42
Let y(m) be the second derivative of m**7/14 - 4*m**4/3 - 26*m. What is the third derivative of y(t) wrt t?
180*t**2
Suppose -3*p - 5*w + 8 + 1 = 0, 5*p + 3*w = 15. What is the third derivative of -4*k**4 + 3*k**2 - k**2 - 5*k**2 + p*k**4 wrt k?
-24*k
Let j(r) be the second derivative of r**8/336 - r**5/15 + 3*r**2 + 2*r. Let b(y) be the first derivative of j(y). What is the third derivative of b(n) wrt n?
60*n**2
Suppose -3*l + 3 = -3. Let q(i) = -6*i**2 + i - 3. Let k(t) = -5*t**2 - 2. Let b(v) = l*q(v) - 3*k(v). What is the second derivative of b(j) wrt j?
6
Let q(f) = 50*f + 10. Let x(d) = d. Let a(p) = -2*q(p) + 110*x(p). Find the first derivative of a(y) wrt y.
10
Let s(c) = 21*c**5 + 11*c**3 + c. Let z(r) = 3*r**3 - 7*r**3 - 4*r**5 + 2*r**3. Let q(a) = -6*s(a) - 33*z(a). Find the second derivative of q(p) wrt p.
120*p**3
Let y(n) = 7*n + 4. Let s be y(-4). Let r(w) = -1. Let g(f) = -2*f**2 + f + 8. Let o(t) = s*r(t) - 3*g(t). What is the second derivative of o(i) wrt i?
12
Let p(s) be the second derivative of s**9/126 - s**5/20 + s**2 - s. Let k(i) be the first derivative of p(i). Find the third derivative of k(m) wrt m.
480*m**3
Let q be (-10)/4*(-24)/20. What is the third derivative of -c**3 - 4*c**2 - c**2 + 3*c**2 + q*c**3 wrt c?
12
Let t(z) be the first derivative of -z**4 - 7*z**2/2 + 4. What is the second derivative of t(w) wrt w?
-24*w
Let g(l) be the second derivative of -1/15*l**6 + 1/4*l**4 + 0*l**3 + 0*l**2 + 0*l**5 + 0 - 2*l. What is the third derivative of g(t) wrt t?
-48*t
Let d be 2*2/(-4) - -5. What is the third derivative of 3*f**d + 2*f**2 - 4*f**4 + 0*f**4 - 2*f**4 wrt f?
-72*f
Let k(a) = -a**2 - 11*a + 17. Let x be k(-12). Let r = 6 - x. Differentiate 1 - 4*p**3 + p**3 + r with respect to p.
-9*p**2
Let a(c) = -c**3 + 4*c**2 - c - 4. Let i be a(3). Find the second derivative of 2*o**i + 3*o**4 + 0*o + o - 2*o**2 wrt o.
36*o**2
Let v = 2 - 1. Let j(h) = 3*h**3 + h**2 - 2*h + 1. Let w be j(v). What is the third derivative of -2*s**2 + s**2 + 2*s**6 - w*s**6 wrt s?
-120*s**3
Let m(v) = v**2 + 3*v + 2. Let p be m(-3). What is the third derivative of 2*z**6 - z**2 - z**6 + 0*z**2 - z**p wrt z?
120*z**3
Let s(j) be the second derivative of 63*j**5/20 - j**4/12 - 3*j**3/2 - 20*j. What is the third derivative of s(q) wrt q?
378
Let h(c) = c**3 + 4*c**2 - 4. Let v be h(-3). Suppose -3*f = -2*f - 4*o - 20, -2*f - o = v. What is the second derivative of f*t**3 - t**3 + 2*t**3 - t wrt t?
6*t
Find the first derivative of 123*k**2 - 29 + 16*k**3 - 249*k**2 + 126*k**2 wrt k.
48*k**2
Let v(d) be the second derivative of -1/4*d**5 + 1/4*d**4 + 0*d**2 + 0*d**3 - 2*d + 0. What is the third derivative of v(m) wrt m?
-30
Let n be 1 + (0 - 17*-5). What is the second derivative of -5*t - 6*t**2 - 86 + n wrt t?
-12
Suppose -6*f + 18 = -0. Let t(x) be the first derivative of 0*x + 1/5*x**5 - 1/3*x**3 - f + 0*x**4 + 0*x**2. What is the third derivative of t(c) wrt c?
24*c
Suppose -3*k - 2 = -11. Let f = -1 + k. What is the third derivative of 6*h**4 + f*h**2 - 3*h**4 + 0*h**4 - 3*h**2 wrt h?
72*h
What is the derivative of -16 - 14 - 93*a**4 + 61*a**4 wrt a?
-128*a**3
Let a(n) = -n + 8. Let l be a(6). What is the second derivative of 2 + l*c**3 - 1 - 1 + 4*c wrt c?
12*c
Find the second derivative of 3*o**2 - 15 - 8*o + 15 + o**2 wrt o.
8
Suppose -n + 4*n = -2*v + 10, -3*v - 4*n = -13. Let t be (-1 - v) + (8 - 6). What is the derivative of t - 1 - 2*r - 6 + 3 wrt r?
-2
Let b(k) = -k**3 + 3*k**2 + 4*k - 4. Let s(c) = 6*c**3 - 21*c**2 - 27*c + 27. Let w(u) = 27*b(u) + 4*s(u). What is the third derivative of w(f) wrt f?
-18
Let d(k) be the first derivative of 17*k**5/5 - 6*k**3 - 8. What is the third derivative of d(j) wrt j?
408*j
Let w(t) = -16*t**4 - 3*t + 22. Let r(n) = -33*n**4 - 5*n + 45. Let u(x) = 3*r(x) - 5*w(x). Find the first derivative of u(s) wrt s.
-76*s**3
Let y(h) = -h**2 + 2*h + 4. Let z be y(0). What is the second derivative of z*b**3 + 6*b - 3*b**3 - 3*b**3 wrt b?
-12*b
What is the second derivative of -13*b**2 - 3*b**2 + 39*b + 4*b**2 - 22*b wrt b?
-24
Let u(h) = 3*h**2 + 2*h + 1. Let f be u(-1). Let m be -1*f*(2 + -3). Find the third derivative of 3*t**2 + 3 - 5 + 2 - m*t**4 wrt t.
-48*t
Let g(b) = -67*b**4 + 2*b**3 - 35*b - 2. Let z(s) = -67*s**4 + 3*s**3 - 36*s - 3. Let t(n) = -3*g(n) + 2*z(n). What is the second derivative of t(y) wrt y?
804*y**2
Let j(l) be the second derivative of 9*l**5/20 + l**4/3 + 6*l. Find the third derivative of j(b) wrt b.
54
Suppose 2*p + 9 = -p. Let l = p - -6. What is the third derivative of -2*o**5 - 4*o**5 + l*o**5 + 2*o**2 wrt o?
-180*o**2
Let i(w) = -63*w**3 - 9*w**2 + 9*w + 33. Let t(j) = 31*j**3 + 4*j**2 - 4*j - 16. Let p(z) = -4*i(z) - 9*t(z). Find the first derivative of p(n) wrt n.
-81*n**2
Suppose -2*x - 3 = -5*i + 13, -2*x = 2*i + 2. What is the third derivative of i*n**2 + 0*n**4 + n**4 + n**2 - 2*n**2 wrt n?
24*n
Let t(s)