 first derivative of 0*s - 1/3*s**6 - 8 + 0*s**2 + 0*s**4 - 4/3*s**3 + 0*s**5. Find the third derivative of p(o) wrt o.
-120*o**2
Let x(m) = 3*m**3 + 4*m**2 - 7. Let g(i) = -i**3 + i**2 + 1. Let t(v) = -4*g(v) + x(v). Differentiate t(o) with respect to o.
21*o**2
Let f(x) = x**3 - x**2 + x. Let n(y) = -9*y**3 + 11*y**2 - 11*y - 2. Let g = 3 + -1. Let i(s) = g*n(s) + 22*f(s). Differentiate i(p) with respect to p.
12*p**2
Let w(v) = -v**3 + v - 1. Let o(s) = 4*s**3 - 6*s + 36. Let m(a) = o(a) + 5*w(a). Differentiate m(d) wrt d.
-3*d**2 - 1
Let x be (4/(-6))/(4/(-18)). Let w(a) = 1 + 0*a - 4*a + x*a. Let o(g) = g - 1. Let v(j) = 3*o(j) + w(j). What is the derivative of v(d) wrt d?
2
Let a = 72 + -69. Let c(r) be the second derivative of 1/4*r**4 + 0 + 0*r**a + 2*r - r**2. Find the first derivative of c(p) wrt p.
6*p
What is the third derivative of -d**2 + 7*d**5 + 5*d - d - 4*d wrt d?
420*d**2
Let f(u) be the third derivative of 0*u**5 - 1/2*u**3 - 1/24*u**6 + 0*u**4 + 0*u - 3*u**2 + 0. What is the derivative of f(y) wrt y?
-15*y**2
Suppose -5*d = -3*p + 6, -p = -2*d - 3*d - 2. Find the second derivative of 8*v**p + v**2 - 3*v + 0*v**2 wrt v.
18
Let p(i) = 4*i - 3*i - 7*i**3 - 2*i + 2*i**3. Let w(s) = 41*s**3 + 8*s. Let d(z) = 51*p(z) + 6*w(z). What is the second derivative of d(t) wrt t?
-54*t
Differentiate 20*f**2 + 4*f**2 + 27 - 2 with respect to f.
48*f
Let q be (-2 + 3)*(-2)/(-2). Find the first derivative of -q + 1 - 2*y - 2 wrt y.
-2
Let s = 2 + 1. What is the first derivative of 1 + 7*t**3 + 0 + 1 - 8*t**s wrt t?
-3*t**2
Suppose 2*n = -u + 2 + 8, -n - 2 = -3*u. Let r be (1 - 2/2)/2. What is the derivative of -5 + r*c**u + 3 - 2*c**2 wrt c?
-4*c
Suppose 0 = 2*k + 3*u - 0 + 2, -k - 3*u - 4 = 0. What is the second derivative of 4*s**2 + k*s - 3*s**2 - 2*s**2 wrt s?
-2
Let l(g) be the third derivative of -g**4/8 - 4*g**3/3 + 13*g**2. Find the first derivative of l(f) wrt f.
-3
Let k(f) be the first derivative of f**8/420 + 7*f**5/120 - 2*f**3 - 3. Let w(i) be the third derivative of k(i). Find the second derivative of w(a) wrt a.
48*a**2
Let l(g) be the third derivative of g**7/420 + g**5/60 + g**3/2 + 2*g**2. Let c(a) be the first derivative of l(a). Find the second derivative of c(f) wrt f.
12*f
Suppose -37 = -s - 3*i, 3*s + 2*i - 97 = -0*i. Suppose 3*a + 0*a - 5*t = -3, 4*a + 5*t = s. Differentiate -f**4 + 0*f**4 + a - f**4 with respect to f.
-8*f**3
Let q(o) = 6*o**4 + 2*o**2 + 11*o. Let i(d) = -29*d**4 - 11*d**2 - 54*d. Let z(w) = 2*i(w) + 11*q(w). What is the second derivative of z(y) wrt y?
96*y**2
Let k(b) = -2*b. Let y be k(-4). Find the second derivative of 2*s - y*s - s**4 + 0*s wrt s.
-12*s**2
Find the first derivative of 3*a**2 + 1 + 4*a**2 - a**2 wrt a.
12*a
Let u(o) be the first derivative of -2 - o**2 - 1/30*o**5 - 1/3*o**3 + 0*o + 0*o**4. Let p(w) be the second derivative of u(w). Differentiate p(a) wrt a.
-4*a
Suppose -4*d = -0*d - 8. What is the first derivative of 3*t**2 - 11 + t**2 + 3 - d wrt t?
8*t
Let s(u) be the first derivative of 3*u**5/20 + u**2/2 + 3*u - 3. Let y(j) be the first derivative of s(j). Differentiate y(i) with respect to i.
9*i**2
Let c(q) be the second derivative of -7*q**3/6 + 7*q**2/2 - 4*q. What is the first derivative of c(u) wrt u?
-7
What is the derivative of -3*j**4 + 2*j**4 - 6 + 3*j**4 + j**4 wrt j?
12*j**3
What is the third derivative of 2*b**5 + 11*b**5 + b**2 + b**2 + 2*b**5 wrt b?
900*b**2
Suppose -4*b + 13 = 3*q - 2*b, 2*b - 19 = -5*q. Let z = -3 + 7. What is the second derivative of -w + 0*w - 2*w**z + q*w wrt w?
-24*w**2
Differentiate -4*b - 6 + 3 - 3 + b with respect to b.
-3
Let m(g) be the first derivative of -37*g**6/6 - 2*g**2 - 37. Find the second derivative of m(s) wrt s.
-740*s**3
Let l(d) be the second derivative of 0*d**5 + 0*d**4 - 5/2*d**2 + 0*d**3 - 3*d + 0 - 4/15*d**6. What is the derivative of l(q) wrt q?
-32*q**3
Let a(q) be the second derivative of q**7/420 + q**4/6 - 2*q**3/3 + 4*q. Let n(r) be the second derivative of a(r). Differentiate n(p) with respect to p.
6*p**2
Let r(a) = -a**2 - 10*a - 12. Let l be r(-8). Let b(k) = 2*k - 6. Let n be b(5). What is the second derivative of l*u**4 + 3*u - 6*u - 3*u**n + 2*u wrt u?
12*u**2
Let n(d) = -54*d**2 + 14*d - 50. Let s(o) = 11*o**2 - 3*o + 10. Let z(r) = -3*n(r) - 14*s(r). Find the first derivative of z(m) wrt m.
16*m
Let l be (28/(-10))/(1/(-10)). Let g be l/8 - (-1)/(-2). What is the second derivative of -n**4 + 4*n - g*n + 0*n wrt n?
-12*n**2
Let q(o) = -o**4 + o - 1. Let r(x) = -x + 1. Let p(h) = 8*h - 7. Let j(z) = p(z) + 2*r(z). Let s(y) = j(y) - 5*q(y). Find the second derivative of s(n) wrt n.
60*n**2
Let c(j) = 4*j**2 - 1. Let p be c(1). Differentiate -x - 1 + p*x**2 + x wrt x.
6*x
Let p(d) = d + 1. Suppose h + 3 = 0, 3*f - 3*h = -h + 21. Let b(w) = 0 + 0*w + 4*w + 3. Let t(u) = f*p(u) - b(u). What is the first derivative of t(a) wrt a?
1
Let q(f) = f - 6. Let l(m) = m + 5. Let r be l(4). Let o be q(r). What is the derivative of o + 2 - 2 - k**4 wrt k?
-4*k**3
Let x be 4/18 - 64/(-36). Find the second derivative of 0*b + 3*b**x + 2 - 2*b - 2 wrt b.
6
Find the first derivative of -3 - 5*n - n + 9*n wrt n.
3
Let z(k) = 8*k + 7. Let d(r) = -9*r - 8. Let p(w) = -4*d(w) - 6*z(w). Find the first derivative of p(v) wrt v.
-12
Let q(i) = i + 2. Let o be (-3)/(-9)*0 - 0. Let k be q(o). Find the third derivative of 4*v**6 - v**6 + k*v**2 - 2*v**6 wrt v.
120*v**3
Let o(d) = -14*d**6 + 3*d**5 - 3*d**3 - 12*d**2 + 3*d + 3. Let l(h) = h**5 - h**3 + h + 1. Let r(y) = -3*l(y) + o(y). Find the third derivative of r(i) wrt i.
-1680*i**3
Let z = 7 + -3. Differentiate -4*i - 1 + 2 + z*i + 3*i with respect to i.
3
Let i(f) = -f**3 + f + 1. Let p(r) = -13*r**3 - 6*r - 22. Let t(q) = -6*i(q) - p(q). Differentiate t(n) with respect to n.
57*n**2
Let c be ((-12)/15)/((-4)/20). Suppose 0 = -0*v - 2*v + 4. Differentiate 0*d**4 - d**4 + 1 + v*d**c with respect to d.
4*d**3
Suppose 2*u = n + n - 16, 34 = 5*n - 3*u. Find the second derivative of 5*q**5 + q + n*q + q - 3*q**5 wrt q.
40*q**3
Let h(a) be the second derivative of -7*a**3/6 - 31*a**2/2 + 3*a - 8. Differentiate h(p) with respect to p.
-7
Suppose -t + n + 13 = -4*n, 5*t + n = 143. Suppose -5*g = -92 - t. Find the first derivative of -24*h**3 + g*h**3 - 5 + h**4 wrt h.
4*h**3
Let w(u) = u**4 + u**3 + u**2 + u. Let x(a) = -4*a**4 + 3*a**3 + 3*a**2 + 11*a. Let s(z) = -3*w(z) + x(z). What is the second derivative of s(b) wrt b?
-84*b**2
Let j(y) be the second derivative of 57*y**5/20 + y**3/6 + 5*y**2 - 30*y. Find the second derivative of j(b) wrt b.
342*b
Let t(i) be the third derivative of i**4/12 - i**3/3 - i**2. Let f(m) = m**2 - 9*m + 8. Let d(k) = -4*f(k) - 18*t(k). Differentiate d(c) wrt c.
-8*c
Let k(a) be the third derivative of 0*a**3 + 0 + 1/120*a**6 - 3*a**2 - 1/15*a**5 + 0*a + 0*a**4. What is the third derivative of k(t) wrt t?
6
Let g(k) be the third derivative of 0*k**5 + 0*k**3 - 1/105*k**7 + 0 + 1/8*k**4 + 0*k**6 + 0*k + 2*k**2. Find the second derivative of g(t) wrt t.
-24*t**2
What is the third derivative of 32*h**3 - 19*h**3 - 11*h**2 + 4*h**2 wrt h?
78
Let r = 5 - 3. What is the first derivative of -r - 4*k**2 + k**2 + 2 + 3 wrt k?
-6*k
Suppose 4*h + g = -0*h + 8, 0 = 5*h - 3*g - 10. What is the third derivative of h*y**2 - 6*y**2 + y**3 + 9*y**2 wrt y?
6
Let y(r) = -22*r - 41. Let v(n) = 22*n + 41. Let k(x) = 4*v(x) + 3*y(x). What is the derivative of k(u) wrt u?
22
Let r(c) be the first derivative of -c**6/90 + c**5/30 - 5*c**3/3 + 2. Let b(v) be the third derivative of r(v). Find the second derivative of b(k) wrt k.
-8
What is the second derivative of 25*n**3 + 3*n - n + 3*n wrt n?
150*n
Let y(h) = h**4 + h**3 - h**2 - h - 1. Let w(k) = -6*k**4 - 5*k**3 + 5*k**2 - 4*k + 5. Let p(n) = w(n) + 5*y(n). What is the second derivative of p(x) wrt x?
-12*x**2
Let m be (-6)/(-1 - (1 + -1)). What is the second derivative of 3*g - 3*g + m*g**2 + 4*g wrt g?
12
Let p(m) = -m**2 - 5*m - 4. Let b(f) = -f**2 - 2*f + 5. Let q be b(-4). Let r be p(q). Find the third derivative of w**2 + w**6 + 0*w**2 - r*w**6 wrt w.
-120*w**3
Let j(a) = -a. Let q(b) = 15*b**2 + 8*b. Let x(i) = 5*j(i) - q(i). Find the second derivative of x(y) wrt y.
-30
Let p(m) = 5*m - 9. Let q(z) = -2 + 2