 1. Let w(p) be the second derivative of -p**4/12 + 5*p**2/2 - 4*p. Let g(o) = 3*t(o) - w(o). What is the first derivative of g(k) wrt k?
-4*k
Let z(m) = -m**3 + 1. Let r(j) = 7*j**3 + 15*j - 6. Let s(p) = r(p) + 6*z(p). Find the second derivative of s(i) wrt i.
6*i
Suppose 0*v = -v + 4. What is the third derivative of -2*r**4 + 4*r**4 - 4*r**2 + r**v wrt r?
72*r
Let m(h) = -h**4 - h**2 + h. Let x(l) = 8*l**4 + 6*l**2 - 6*l - 15. Let r(a) = -6*m(a) - x(a). Find the first derivative of r(t) wrt t.
-8*t**3
Let f(g) = g**2 - g. Let a be f(2). Differentiate -2 - 6*o + 4*o**2 + a*o + 4*o wrt o.
8*o
Let f be 4/(-6) - (-2)/3. Suppose g = -f*g. Find the third derivative of -2*i**2 + 0*i**3 + 2*i**4 + g*i**3 wrt i.
48*i
Find the third derivative of -9*u**2 - 5*u**2 + 28*u**2 + 31*u**4 wrt u.
744*u
Let s = -89/5 + 18. Let j(n) be the first derivative of 0*n**2 - s*n**5 + 0*n - 3 + 0*n**4 - 1/3*n**3. What is the third derivative of j(u) wrt u?
-24*u
Let o = 15 + -10. What is the second derivative of 16 - 16 + 4*n**5 + 2*n - 3*n**o wrt n?
20*n**3
Find the second derivative of 4*s**2 + 6*s - 33 + 33 wrt s.
8
Let d = -25 - -51/2. Let s(k) be the first derivative of -d*k**2 - 1 - 2*k. What is the derivative of s(l) wrt l?
-1
Let p(a) be the first derivative of 2*a**4 + 11*a**2/2 + 7. What is the second derivative of p(j) wrt j?
48*j
Suppose -3 - 7 = -5*k. What is the second derivative of 3*l**2 - l**2 - 2*l**2 + 2*l + k*l**3 wrt l?
12*l
Let v = -19 - -19. Let l(x) be the first derivative of v*x**2 + 0*x + 0*x**4 + 1/3*x**3 + 1 + 2/5*x**5. Find the third derivative of l(k) wrt k.
48*k
Let p(l) be the second derivative of -3*l + 0 + 0*l**3 + 3/20*l**5 + 0*l**4 + 5/2*l**2. What is the first derivative of p(f) wrt f?
9*f**2
Let y(j) be the second derivative of 0 + j**2 + 1/3*j**3 + 5*j. Differentiate y(z) with respect to z.
2
Let a(h) be the second derivative of h**5/10 + 5*h**4/6 - 3*h. Find the third derivative of a(k) wrt k.
12
Let p(f) be the third derivative of 0*f + 1/6*f**3 + 0 - 1/12*f**4 + 2*f**2. What is the derivative of p(j) wrt j?
-2
Let r(y) be the third derivative of 7*y**4/24 - y**3/2 + 7*y**2. Differentiate r(s) wrt s.
7
Let m = -2 + 5. What is the second derivative of 0 - m*r - 2*r**5 + 0*r**5 + 0 wrt r?
-40*r**3
Let t = -8 + 11. Find the second derivative of 13*a**2 - t*a**2 - 4*a**2 - 4*a wrt a.
12
What is the second derivative of a**4 - 3*a**4 + 4*a + 3*a**4 wrt a?
12*a**2
Let c(f) be the first derivative of 1/2*f**6 + 3 + 0*f**2 + 0*f + 2/3*f**3 + 0*f**4 + 0*f**5. What is the third derivative of c(s) wrt s?
180*s**2
Let s = -3 - -6. Find the second derivative of -2*d + 5*d + 4*d**4 + 4*d - s*d wrt d.
48*d**2
Let w(a) = -9*a - 18. Let q(h) = -1. Let f(y) = -36*q(y) + 4*w(y). Differentiate f(v) with respect to v.
-36
Let g = 11 - 9. What is the derivative of 1 + g - 8 - 2*m**4 wrt m?
-8*m**3
What is the third derivative of -13*m**3 - 5*m**2 + 18*m**3 + 2*m + m**2 - 17*m**3 wrt m?
-72
Let d = 4 - -2. Suppose 4*y = 6*y - d. What is the third derivative of 3*h**3 - 2*h**2 - 4*h**y + 3*h**3 wrt h?
12
Let t = -1 - -8. Let h = -10 + t. Let j(z) = -5*z - 1. Let d(w) = 26*w + 6. Let q(u) = h*d(u) - 16*j(u). What is the derivative of q(x) wrt x?
2
Let g(k) = -k**2 - 1. Let s be 2/(-6 + 2 - -2). Let p(f) = 5*f - 2. Let v(w) = s*p(w) + 2*g(w). Find the second derivative of v(l) wrt l.
-4
Let v(k) be the third derivative of k**7/280 + k**5/120 + k**3/6 - 3*k**2. Let o(n) be the first derivative of v(n). Find the second derivative of o(i) wrt i.
18*i
Let l(a) be the first derivative of a**4/2 + 13*a**3 - 37*a**2/2 + 9. What is the second derivative of l(s) wrt s?
12*s + 78
Let k(i) = -13*i**4 + 12*i**2 + 4*i - 4. Let f(r) = 25*r**4 - 23*r**2 - 7*r + 7. Let a(w) = 4*f(w) + 7*k(w). What is the third derivative of a(m) wrt m?
216*m
Let p(r) be the second derivative of 2*r + 0 + 5/12*r**4 + 0*r**5 - 1/15*r**6 + 0*r**3 + 0*r**2. What is the third derivative of p(b) wrt b?
-48*b
Let g(u) be the third derivative of u**7/210 - u**3/6 - 5*u**2. What is the first derivative of g(m) wrt m?
4*m**3
Find the third derivative of -c + 17*c**5 - 5*c + 6*c + 4*c**2 wrt c.
1020*c**2
Find the second derivative of 20 + 6*x**3 + 2*x - 20 wrt x.
36*x
Let u(v) = -62*v**5 + 3*v**4 - 8*v**2 - 3. Let c(g) = -123*g**5 + 7*g**4 - 16*g**2 - 7. Let q(o) = 3*c(o) - 7*u(o). Find the third derivative of q(m) wrt m.
3900*m**2
Let i(k) = -9*k**2 + 3. Let c be 4 - 3/(9/3). Let v(m) = c + 1 + 1 - 14*m**2. Let l(g) = 8*i(g) - 5*v(g). Differentiate l(r) with respect to r.
-4*r
Let h(c) = 9*c**2 - 6*c. Let n(v) = -v**2 + v. Let l(w) = -h(w) - 3*n(w). Find the second derivative of l(j) wrt j.
-12
Let z(b) be the second derivative of b**6/120 + b**3/2 + b**2/2 - 2*b. Let p(a) be the first derivative of z(a). Differentiate p(i) with respect to i.
3*i**2
Let y(f) be the first derivative of -27*f**4/4 + 19*f + 30. What is the first derivative of y(j) wrt j?
-81*j**2
Let a be (-1 - 1)*(-12)/(-8). Let i = a - -5. Find the second derivative of 4*u**2 - 4*u**i - u**3 - 2*u wrt u.
-6*u
Let v(r) = r - 11. Let f be v(6). Let d = f - -7. Find the first derivative of a**2 + 2 - 4 - 3*a**d wrt a.
-4*a
Let p(l) = -l**2 + 4. Let v(c) = -4*c**2 + 21. Suppose 2*n - 22 = 4*n. Let t(b) = n*p(b) + 2*v(b). What is the first derivative of t(a) wrt a?
6*a
Let o(t) be the first derivative of -t**9/252 + t**5/10 - 9*t**2/2 + 4. Let a(k) be the second derivative of o(k). What is the third derivative of a(l) wrt l?
-240*l**3
What is the third derivative of -s**6 - 5*s**2 - 5*s**2 + 0*s**6 - 9*s**6 wrt s?
-1200*s**3
Suppose -3*r + 4*f = 29, -2*r = -r - 3*f + 13. Let n = r - -10. What is the first derivative of -1 + 4*y**2 - 4*y**2 - 2*y**n wrt y?
-6*y**2
Suppose -4*b = -5 - 11. What is the third derivative of -7*v - 4*v**2 + v**b + v**2 + 7*v wrt v?
24*v
Find the second derivative of 20*l**4 + 9*l - 2*l**4 + 22*l - 8*l wrt l.
216*l**2
Differentiate -5 - i + 1 + 10*i**4 + i wrt i.
40*i**3
Let t(h) = -2*h**3 + 10*h**2 - 4*h - 4. Let x(n) = n**3 - n**2 + n + 1. Let y(u) = -t(u) - 4*x(u). What is the third derivative of y(z) wrt z?
-12
Let o(w) be the first derivative of -2/3*w**3 + 0*w**2 + 0*w**4 + 0*w - 1/3*w**6 + 0*w**5 - 3. What is the third derivative of o(k) wrt k?
-120*k**2
Let v be (1*2/2)/((-1)/(-2)). Let m(j) be the first derivative of 0*j**v + 3*j + 4 + 2/3*j**3. Differentiate m(c) with respect to c.
4*c
Suppose 0 = -2*d + d. Find the second derivative of d*m - m**3 - m**3 + 2*m wrt m.
-12*m
Suppose 3*q - 16 = -2*r + q, 0 = -2*q + 8. Suppose -5*i + r + 6 = 0. Find the second derivative of i*p + p**5 - 3*p**5 - p wrt p.
-40*p**3
Find the first derivative of 0*h**2 - 8 - 20*h**4 - 14 + 0*h**2 wrt h.
-80*h**3
Suppose -4*b + 19 = 3. What is the first derivative of -1 - 3*z**2 + b*z**2 - 2*z**2 + 8 wrt z?
-2*z
Find the third derivative of 78*w - 14*w**2 - 7*w**3 - 79*w - 36*w**3 wrt w.
-258
Suppose -95*u + 6 = -93*u. Let p(y) be the second derivative of 0*y**2 + 0 + 0*y**4 - 2/3*y**3 - u*y + 1/10*y**5. Find the second derivative of p(l) wrt l.
12*l
Let h = -11 - -7. Let n(u) = u**2 + u + 1. Let s be n(h). What is the third derivative of s*l - 13*l + l**6 + 3*l**2 wrt l?
120*l**3
Suppose -3*q = -q - 6. Find the third derivative of 5*a**6 + 2*a**3 + q*a**2 - 3*a**3 + a**3 wrt a.
600*a**3
Suppose 0 = 4*y - 2*y - 8. Suppose 6*a - 8 = y*a. What is the third derivative of a*d**2 - 2*d**3 + 2*d**3 - d**2 + 2*d**4 wrt d?
48*d
Let a(s) be the third derivative of 1/120*s**6 + 3*s**2 + 0*s**3 + 1/8*s**4 + 0 + 0*s**5 + 0*s. Find the second derivative of a(o) wrt o.
6*o
Let d(j) be the third derivative of -13*j**6/60 + 16*j**3/3 + 7*j**2. Find the first derivative of d(q) wrt q.
-78*q**2
Let j(o) = 2*o**4 + 3*o**3 - 6*o**2 - 6*o + 6. Let y(d) = -d**4 - d**3 + d**2 + d. Let i(n) = -j(n) - 6*y(n). Find the first derivative of i(k) wrt k.
16*k**3 + 9*k**2
Let r = 3 - 4. Let h be (4 + -5)*4*r. Find the second derivative of -h*n - 2*n**2 + 7*n**2 + 0*n - n**2 wrt n.
8
Let f(u) be the second derivative of -5*u**3/6 - 3*u**2/2 - 5*u. Let z(n) = -85*n - 50. Let o(w) = 35*f(w) - 2*z(w). What is the first derivative of o(q) wrt q?
-5
Let s(q) = 9*q**4 + 11*q - 2. Let h(o) = 2*o**4 - 7*o**4 + 2 - 6*o - 1. Let b(r) = -11*h(r) - 6*s(r). Diffe