g**3 - 3*g**2 - 8. Let a(x) be the second derivative of f(x). Find the first derivative of a(r) wrt r.
-20*r**3
What is the third derivative of 0*t**3 - 9*t**2 - 8*t**3 + 6*t**3 wrt t?
-12
Let m(r) be the third derivative of -r**7/105 + r**5/20 + 2*r**2. What is the third derivative of m(q) wrt q?
-48*q
Let w(h) be the third derivative of 3*h**8/112 + h**4/24 + 5*h**2. Find the second derivative of w(u) wrt u.
180*u**3
Suppose 2*q = -2*n, 0 = 2*n - n + 3*q + 2. Let x(z) be the first derivative of z - n + 0*z**4 + 0*z**3 + 0*z**2 + 2/5*z**5. Differentiate x(f) wrt f.
8*f**3
Let m(d) = 1. Let f(p) = -3*p**2 - 2*p + 1. Let b(k) = f(k) - m(k). What is the second derivative of b(v) wrt v?
-6
What is the third derivative of -49*l**2 - 8*l**4 + 0*l + 0*l - l**3 - 6*l**2 wrt l?
-192*l - 6
Let m(c) be the first derivative of 11*c**7/7 - 8*c**3/3 + 9. What is the third derivative of m(p) wrt p?
1320*p**3
Let w(l) be the third derivative of -4*l**2 + 1/6*l**3 + 0*l**4 + 1/30*l**5 + 0*l + 0. Differentiate w(d) wrt d.
4*d
Let f(i) be the second derivative of -13*i**4/12 - 2*i**2 - 7*i. Differentiate f(t) wrt t.
-26*t
Let n(y) = -21*y**3 - 25*y + 5. Let q(d) = 20*d**3 + 25*d - 6. Let p(b) = -6*n(b) - 5*q(b). What is the second derivative of p(o) wrt o?
156*o
What is the derivative of 13*j**3 + 17*j**3 - 24 - 3*j**3 + 19 wrt j?
81*j**2
Let s(i) = 8*i**3 - 5*i**2 - 4*i + 5. Let y(c) = -4*c**2 + 4 - 2*c + 7*c**3 + 0*c - c. Let j(z) = -4*s(z) + 5*y(z). What is the second derivative of j(n) wrt n?
18*n
Find the second derivative of 2*m**4 + 8*m**4 - m**4 + 16*m wrt m.
108*m**2
Let g = -6 - -9. Differentiate 2*z**g - 3 - 4*z**3 + 2 wrt z.
-6*z**2
Suppose 0 = 5*h - h. Let v be (-34)/(-10) - 9/(-15). Differentiate 3 + h - v - 3*y**4 with respect to y.
-12*y**3
Let h(w) = -4*w**3 + 2*w**2 - 2*w + 11. Let r(c) = c**3 + c**2 - c. Let s(f) = -3*h(f) + 6*r(f). What is the first derivative of s(i) wrt i?
54*i**2
Differentiate 213 - 2*g**3 + 0*g**3 - 182 wrt g.
-6*g**2
Let l(k) = -3*k**2 + 9*k. Let b(d) = -2*d**2 + 4*d. Let n be (-32)/(-14) - (-10)/(-35). Let z(h) = n*l(h) - 5*b(h). Find the second derivative of z(x) wrt x.
8
Let p(z) be the second derivative of z**5/60 - 5*z**3/6 - 5*z**2/2 - 3*z. Let q(m) be the first derivative of p(m). Differentiate q(i) with respect to i.
2*i
Let w(l) = l**3 + l**2. Let b(d) = -15*d**4 - d**3 - 11*d**2. Let j(z) = 2*b(z) + 2*w(z). Find the third derivative of j(k) wrt k.
-720*k
Let o(x) be the third derivative of 5*x**4/8 + 17*x**3/3 - 24*x**2. What is the first derivative of o(y) wrt y?
15
Let f(c) = -14*c - 46. Let n(i) = -3*i - 9. Let r(l) = -2*f(l) + 11*n(l). What is the first derivative of r(x) wrt x?
-5
Let r = 6 + -3. What is the derivative of 3 - 6 + 2*v**3 + v**r wrt v?
9*v**2
Let o(y) be the third derivative of -y**6/40 - y**5/20 + 6*y**2. What is the third derivative of o(c) wrt c?
-18
Suppose 0 = 4*g - g - 6. Let h(v) be the second derivative of -1/2*v**g - 1/3*v**3 - 2*v + 0. Differentiate h(b) with respect to b.
-2
Suppose 0 = -2*p + t + 4*t + 25, 2*t = -4*p - 10. Differentiate 0*z + 14 - 22 - 5*z**2 + p*z with respect to z.
-10*z
Let g(t) be the first derivative of 3/4*t**4 - 4/3*t**3 + 0*t + 0*t**2 + 3. Find the third derivative of g(n) wrt n.
18
Let h(b) = 2*b**4 - 3*b**3 + 5*b**2. Let q(s) = -s**4 - s**3. Let z(i) = -h(i) + 3*q(i). Find the third derivative of z(j) wrt j.
-120*j
Suppose -2*w + 5*w - 12 = 0. Let f be 2/4*(w + 0). Find the second derivative of 16*p**2 + 0*p**3 + 2*p + 3*p**3 - 16*p**f wrt p.
18*p
Let f(u) be the second derivative of u**5/30 + u**4/24 - u**2 + u. Let h(l) be the first derivative of f(l). Find the second derivative of h(t) wrt t.
4
Let m(g) be the first derivative of 7*g**5/5 + 2*g**2 - 8. Find the second derivative of m(d) wrt d.
84*d**2
Let q(f) = -2*f - 1. Let n be q(-4). What is the first derivative of -6 + n - 3*t + 1 + 5 wrt t?
-3
Suppose 4*y - 2*f = -10, -4*f = 2*y + y + 13. Let d be 3 + y + (2 - 0). What is the first derivative of -1 + x**3 + d + 2*x**3 wrt x?
9*x**2
Find the second derivative of -613*y**3 + 613*y**3 - 28*y**4 + y + 2*y wrt y.
-336*y**2
Suppose 18 = 6*s - 4*s. What is the derivative of 21*g**3 - 5*g**4 - 12*g**3 - s*g**3 - 9 wrt g?
-20*g**3
Let z = 146 + -142. Let d(s) be the first derivative of 2 + 0*s**3 - 3/2*s**2 + 1/4*s**z + 0*s. What is the second derivative of d(c) wrt c?
6*c
Let p be ((-5)/(-1) - 3) + 3. Let v(n) be the second derivative of 0*n**4 + 0*n**3 + 1/10*n**p + 0 + n + n**2. Differentiate v(d) with respect to d.
6*d**2
Let h(v) = 13*v**2 - 4*v - 14. Let u(w) = w + 1. Let r(k) = -h(k) - 4*u(k). Differentiate r(f) with respect to f.
-26*f
Let j(s) be the second derivative of s**7/280 + s**5/40 - s**3/6 - 4*s. Let b(u) be the second derivative of j(u). What is the second derivative of b(z) wrt z?
18*z
Let t be (11 - (2 - 0)) + 2. Suppose -4*n = -5 - t. Find the third derivative of -2*z**5 + z**4 + z**4 - 2*z**n - 3*z**2 wrt z.
-120*z**2
Suppose 4*v = 10 + 6. Let p(h) be the first derivative of 1/4*h**4 + v - 3*h + 0*h**2 + 0*h**3. Find the first derivative of p(o) wrt o.
3*o**2
Let j(q) be the first derivative of 2*q**3 - 4*q - 5*q**3 + 2*q**3 + 0*q**3 - 7. Differentiate j(p) with respect to p.
-6*p
Let x(c) = 2*c + 2. Let b be x(2). Let d be 10/(-20)*4*-1. Find the second derivative of d*h - b*h + h**3 + 2*h wrt h.
6*h
Let h(u) = -u**3 + u**2 + 1. Let i(l) = -4*l**3 - 25*l**2 - 6. Let t(w) = -6*h(w) - i(w). What is the third derivative of t(n) wrt n?
60
Let m(o) be the first derivative of -1 - 3/2*o**2 + 1/6*o**6 + 0*o + 0*o**5 + 0*o**4 + 0*o**3. What is the second derivative of m(r) wrt r?
20*r**3
Let k(v) be the third derivative of -v**9/63 - 5*v**5/12 - 29*v**2. Find the third derivative of k(t) wrt t.
-960*t**3
Let a(q) be the second derivative of 0*q**3 + 0*q**4 - 1/6*q**6 - 3*q - q**2 + 0 + 0*q**5. What is the derivative of a(m) wrt m?
-20*m**3
Let x(f) be the first derivative of -9*f**4/4 + f**2/2 - 7. What is the second derivative of x(u) wrt u?
-54*u
Let z(p) be the second derivative of -3*p**4/4 - 5*p**2 - 7*p. Differentiate z(k) with respect to k.
-18*k
Let g = 2 - -1. What is the second derivative of 2*a - a**g - 3*a**3 - 5*a wrt a?
-24*a
Let o = 26 - 18. What is the second derivative of -2*z + o*z**4 + 3*z + 3*z wrt z?
96*z**2
Let l(i) = -i**3 - i. Let g(r) = r**3 + r. Let p(h) = -2*h**2 + h + 1. Let w be p(2). Let m(u) = w*l(u) - 8*g(u). What is the second derivative of m(j) wrt j?
-18*j
Let t(n) = -7*n**3 + 11*n - 5. Let c(s) = 3*s**3 - 6*s + 3. Let b(u) = -5*c(u) - 3*t(u). What is the second derivative of b(k) wrt k?
36*k
Let u = 16 + -9. What is the derivative of -4*r**3 - u + r**3 + 4 wrt r?
-9*r**2
Let j(r) be the first derivative of r**9/1512 - r**5/120 - 2*r**3/3 + 1. Let c(n) be the third derivative of j(n). What is the second derivative of c(b) wrt b?
40*b**3
Find the third derivative of 0*i**2 + 0*i**3 - i**2 + 4*i**2 - 2*i**3 wrt i.
-12
Let l(z) = -z + 1. Let k(a) = -2*a + 5. Let s be k(5). Let b(t) = -t + 3. Let j(i) = s*l(i) + 3*b(i). Differentiate j(h) with respect to h.
2
Let r(p) = -25*p**4 - 3*p**3 + 5*p - 58. Let d(u) = -u**4 - u**3 + u - 1. Let l(h) = 5*d(h) - r(h). What is the derivative of l(y) wrt y?
80*y**3 - 6*y**2
Find the third derivative of 2 - 13*w**2 + 3*w**4 + 8*w**2 - 2 wrt w.
72*w
Let f(y) = 8*y**3 + 5*y + 5. Let m(o) = -o**3 - 1. Let z be 3*((-12)/9)/(-4). Let t(k) = z*f(k) + 5*m(k). What is the second derivative of t(a) wrt a?
18*a
Let x(j) = -3*j + 2. Let a(r) = r - r**4 - 2 + 4 - 3*r - 1. Let y(h) = 3*a(h) - 2*x(h). Differentiate y(k) wrt k.
-12*k**3
Let t(k) = k**3 - k**2. Let n(u) = 7*u**3 - 13*u**2. Let s(y) = -n(y) - 4*t(y). Find the third derivative of s(h) wrt h.
-66
Let l be 6/(-21)*1*-7. Let v(w) be the first derivative of 0*w**3 + 0*w**4 + l*w + 0*w**2 + 1 + 3/5*w**5. Differentiate v(g) with respect to g.
12*g**3
Let z(r) be the second derivative of 1/6*r**3 + 0*r**2 + 0 + 1/12*r**4 - 4*r. Find the second derivative of z(q) wrt q.
2
Find the second derivative of -u**2 + 6 + 8*u - 6 wrt u.
-2
Let y(x) = x. Let c(h) = 4*h - 6. Let v(q) = -c(q) - 4*y(q). What is the derivative of v(k) wrt k?
-8
Let x(u) = 6*u**4 - 4*u**3 + 4*u**2 - 17*u. Let t(i) = i**4 + i**3 - i**2. Let l(p) = 4*t(p) +