28*p. Let b(a) = -74*a**5 - 5*a**4 + 5*a**2 - 57*a. Let h(x) = 3*b(x) + 5*l(x). Find the second derivative of h(i) wrt i.
-740*i**3
Find the second derivative of -12*y**5 - 9*y**5 - 3*y**5 + 7*y wrt y.
-480*y**3
Let g = -12 + 7. Let z(j) = -j**4 - 6*j**3 - 6*j - 2. Let d(i) = 5*i**3 + 5*i + 1. Let l(r) = g*z(r) - 6*d(r). Differentiate l(b) with respect to b.
20*b**3
Let r(s) = -s + 4. Let x(k) = -3*k - 25. Let y be x(-10). Let i(t) = 3. Let b(l) = y*r(l) - 6*i(l). What is the derivative of b(g) wrt g?
-5
Let r(z) = -z**3 - 17*z**2 - 19*z - 20. Let u be r(-16). What is the second derivative of u*n - 27*n + 0*n**4 - 4*n**4 wrt n?
-48*n**2
What is the third derivative of -2*v**5 - 4 + 4 + 17*v**2 + 5*v**2 wrt v?
-120*v**2
Let h(g) be the third derivative of g**4/4 + g**3/6 - g**2. Let z be h(1). Find the third derivative of z*x - x**3 + 2*x**2 - 7*x wrt x.
-6
Let o be ((-8)/(-5) + -2)*5. Let q be ((-4)/12)/(o/24). What is the second derivative of 4*n**4 + 3*n**4 + n**4 - 4*n**q - n wrt n?
48*n**2
Let g(p) be the first derivative of 9*p**5/20 - 2*p**3/3 + 6*p + 2. Let s(a) be the first derivative of g(a). What is the second derivative of s(n) wrt n?
54*n
Suppose 0 = 4*j + 2*k + 40, -2*j + 4*k = 2*k + 14. Let w be j/(-6)*4/3. What is the third derivative of f**2 - 4*f**2 - f**6 + 0*f**w wrt f?
-120*f**3
What is the derivative of 8*r**4 + 0*r**4 - 5*r**4 - 20 - 15*r + 2*r wrt r?
12*r**3 - 13
Let k(a) be the third derivative of 13*a**5/15 - 19*a**4/24 - 37*a**2. What is the second derivative of k(h) wrt h?
104
Let z(w) = 13*w**3 + 6*w**2 + 5. Let y(k) = 14*k**3 + 7*k**2 + 5. Let q(s) = -6*y(s) + 7*z(s). Find the first derivative of q(a) wrt a.
21*a**2
Let m be (0 - 0) + 4 + 0. What is the first derivative of 2*n**3 - 3 + 3 + 1 - m*n**3 wrt n?
-6*n**2
Let s be (2/6)/((-5)/(-45)). Find the third derivative of -6*h**2 + 4*h**3 - 3*h**3 + 0*h**3 + h**s wrt h.
12
Let z = 67 - 67. Let f(t) be the third derivative of -1/6*t**3 + 2*t**2 + 0*t + 0*t**4 - 1/20*t**5 + z. Find the first derivative of f(y) wrt y.
-6*y
Let u(v) = 3*v**3 + 81*v**2 - 5*v. Let p(d) = -2*d**3 - 40*d**2 + 3*d. Let y(s) = 5*p(s) + 3*u(s). What is the third derivative of y(q) wrt q?
-6
Suppose i + 3*j - 2*j = 1, 4 = i - 2*j. Differentiate -21*x**i - 7*x**4 + 21*x**2 + 5 wrt x.
-28*x**3
Let g be (8 + -8)/(-4 + 1). Let o(y) be the second derivative of 0 + 1/12*y**4 + 0*y**2 - y + 1/20*y**5 + g*y**3. Find the third derivative of o(i) wrt i.
6
Suppose 3*h - 10 = h. Let n(o) be the third derivative of 0 - 1/60*o**h + 0*o**4 + 0*o + 0*o**3 - 1/120*o**6 + o**2. Find the third derivative of n(v) wrt v.
-6
Let h(g) be the second derivative of g**6/5 + g**2 + 5*g. Differentiate h(t) with respect to t.
24*t**3
Let t(b) be the third derivative of -2*b**7/105 + 2*b**3/3 - 5*b**2. Find the first derivative of t(y) wrt y.
-16*y**3
Suppose -8 = -d + 14. Suppose 0 = -2*a - 3*x + d, 0*x = a + x - 9. Find the second derivative of -a + 4*p - 4*p**2 + 2*p**2 + 5 wrt p.
-4
Suppose -3*c = c - 16. Let t(r) be the first derivative of 0*r - 3 - r**3 + 0*r**2 - 3/4*r**c. Find the third derivative of t(y) wrt y.
-18
Let c(u) = 12*u + 2. Let z(l) = -11*l - 3. Let r(n) = 6*c(n) + 7*z(n). What is the first derivative of r(v) wrt v?
-5
Let o(s) = -2*s**2 + 4*s - 3. Let k(m) = -9*m**2 + 15*m - 12. Let l(h) = 4*k(h) - 15*o(h). Find the first derivative of l(x) wrt x.
-12*x
Suppose -2*x - 5*m = -20, 4*x - 4*m = -2*m + 16. Find the second derivative of -2*u**5 - 4*u + 4*u**5 - 6*u**5 + 2*u**x wrt u.
-40*u**3
Suppose -k + 3*b + 13 = 0, -5 - 7 = 4*b. Let m = k - 1. Find the second derivative of -2*a**m - 2*a + a + 0*a wrt a.
-12*a
Suppose -2*c = 3*f, 5*c = -3*f + 9 - 0. What is the third derivative of -c*y**2 - 2*y**4 - 42*y**5 + 2*y**4 + 37*y**5 wrt y?
-300*y**2
Let n = 3 - 9. Let z(r) = -6*r**4 + 5*r - 11. Let v(h) = -3*h**4 + 3*h - 6. Let j(f) = n*z(f) + 11*v(f). Find the second derivative of j(w) wrt w.
36*w**2
What is the first derivative of 3*k - 5*k + 8 - 9*k wrt k?
-11
Let m(w) = -20*w**3 + 6*w**2 + 4*w + 6. Let c(j) = 19*j**3 - 5*j**2 - 3*j - 5. Let g(t) = -6*c(t) - 5*m(t). What is the second derivative of g(r) wrt r?
-84*r
Suppose 2*n - 14 = -b, -1 = n + 2*n - 4*b. Find the third derivative of -j**2 + 0*j**5 - 5*j**5 + 4*j**n wrt j.
-60*j**2
Let x(f) = 4*f**3 + 7*f**2. Let p(l) = -l**3 + l**2. Let w(i) = 4*p(i) - x(i). Find the third derivative of w(g) wrt g.
-48
Let b(h) be the second derivative of -h**7/2 - 23*h**4/6 - 8*h. What is the third derivative of b(a) wrt a?
-1260*a**2
Let q(g) = -g + 8. Let i be q(8). What is the second derivative of 0 + 3*t**3 + 0*t + 2*t + i wrt t?
18*t
Let c(q) = -7*q**4 - 4*q**3 + 4*q**2 + 37*q. Let z(d) = 6*d**4 + 5*d**3 - 5*d**2 - 37*d. Let k(i) = -5*c(i) - 4*z(i). Find the second derivative of k(w) wrt w.
132*w**2
Let o be (3/(-2))/((-2)/4). Differentiate 2*c**3 - 3*c**3 - o + 6 + 2*c**3 wrt c.
3*c**2
Let l(m) be the second derivative of -m**4/4 - 7*m**3/6 + 7*m. Find the second derivative of l(p) wrt p.
-6
Let f(m) = 3*m**3 + 3*m**3 + 6*m**2 - 5 + m - 3*m**3 - 4*m**3. Let v be f(6). Differentiate w**2 - v - 2*w**2 - 2*w**2 with respect to w.
-6*w
Let g(s) be the second derivative of 31*s**3/6 - 20*s**2 + s - 11. Find the first derivative of g(t) wrt t.
31
Find the second derivative of 11*d**5 + d**4 - 2*d**4 + 9*d + d**4 wrt d.
220*d**3
Let l(b) be the first derivative of b**6/180 - b**4/8 + 7*b**3/3 - 8. Let u(x) be the third derivative of l(x). Differentiate u(v) wrt v.
4*v
Let a = -21 + 26. Let x(b) be the first derivative of 0*b + 1 - 1/5*b**a + 2/3*b**3 + 0*b**2 + 0*b**4. Find the third derivative of x(p) wrt p.
-24*p
Let r(f) be the second derivative of -f**7/7 - 3*f**3/2 - 11*f. What is the second derivative of r(m) wrt m?
-120*m**3
Let y(z) be the third derivative of -z**5/10 + z**4/24 + 2*z**2. Find the second derivative of y(w) wrt w.
-12
Let u be ((0 - 1) + 2)*2. What is the third derivative of -i**2 + 3*i**u - 4*i**4 + 0*i**2 wrt i?
-96*i
Let q(j) = -j**2 + 7*j + 8. Let s be q(8). Find the second derivative of 0*i**5 + 0 + i**5 + s + 5*i wrt i.
20*i**3
Let w = 4 - -4. Suppose -3*s = -3*a - w*s + 31, s + 3 = 4*a. Find the third derivative of 0*q**5 + 0*q**a - q**2 - 5*q**5 wrt q.
-300*q**2
Let o(h) = 7*h**3 - 3*h**2 + 3*h - 3. Let c(d) = -d**3 + d**2 - d. Let s(r) = -3*c(r) - o(r). What is the first derivative of s(z) wrt z?
-12*z**2
Let t(o) be the third derivative of 0 - 2*o**2 + 0*o**6 + 0*o + 0*o**5 - 1/24*o**4 + 1/70*o**7 + 0*o**3. What is the second derivative of t(w) wrt w?
36*w**2
Let t(j) be the third derivative of -2*j**2 + 0*j + 5/24*j**4 + j**3 + 0. What is the derivative of t(h) wrt h?
5
Let k be ((-6)/9)/((-4)/(-30)). Let r(m) = -2*m - 5. Let n(d) = 2*d + 5. Let h(o) = k*r(o) - 4*n(o). What is the first derivative of h(w) wrt w?
2
Let t(n) be the second derivative of n**7/70 - n**4/8 - 3*n**2/2 + n. Let q(l) be the first derivative of t(l). Find the second derivative of q(a) wrt a.
36*a**2
What is the second derivative of -578*t - 16*t**5 - 11*t**5 + 585*t wrt t?
-540*t**3
Differentiate -10 + 3 - 7*p - 4*p - 7 wrt p.
-11
Let t(a) be the second derivative of 0 - 8*a + 0*a**5 - 1/6*a**6 + 7/12*a**4 + 0*a**3 + 0*a**2. What is the third derivative of t(z) wrt z?
-120*z
Let r(s) = -5*s + 2. Let q(m) = 14*m - 6. Let n = -7 - -4. Let w = -14 + n. Let y(x) = w*r(x) - 6*q(x). What is the derivative of y(a) wrt a?
1
Suppose -4*g - g - 5 = 0. Let q(w) = -2*w**4 - 3*w. Let t(z) = -z. Let k(v) = g*q(v) + 2*t(v). What is the second derivative of k(y) wrt y?
24*y**2
Let x(d) = 23*d**3 + 5*d**2 + 5*d + 13. Let u(b) = -23*b**3 - 4*b**2 - 4*b - 13. Let j(s) = 5*u(s) + 4*x(s). What is the derivative of j(k) wrt k?
-69*k**2
Let a(m) = 7*m - 1. Let j(u) = 7*u - 1. Let k(o) = 2*a(o) - 3*j(o). Differentiate k(c) with respect to c.
-7
Let p(v) = -4*v**3 - 1. Let t be p(-1). Suppose -x - t = -2*x. Find the first derivative of -2 + 5*f**3 + 0*f**x - 7*f**3 wrt f.
-6*f**2
Let j(i) be the third derivative of -i**6/6 + i**4/8 + 9*i**2. What is the second derivative of j(y) wrt y?
-120*y
Let p = 26 - 18. Suppose 3 = -w + p. What is the second derivative of -5 + 2*h**2 + w + h wrt h?
4
Let w(o) be the third derivative of -11*o**6/60 - 5*o**4/24 - 19*o**2. Find the second derivati