 0*h**2 + 0*h**3 + 3/4*h**4 - 5 + 5*h. Differentiate o(u) wrt u.
9*u**2
Let n(i) be the third derivative of i**9/30240 - i**6/240 - i**5/30 + 2*i**2. Let x(g) be the third derivative of n(g). Find the first derivative of x(b) wrt b.
6*b**2
Let r(l) be the second derivative of -2*l**4/3 + l**2/2 + 8*l. What is the derivative of r(a) wrt a?
-16*a
Let m(n) be the first derivative of n**6/20 + 2*n**3/3 + 2*n**2 - 4. Let i(k) be the second derivative of m(k). What is the derivative of i(t) wrt t?
18*t**2
Differentiate 1 + 12*x**2 + x**2 + 3 wrt x.
26*x
Find the second derivative of -4*s + s**2 - 3*s**2 + 11*s + 4*s wrt s.
-4
Let z(f) = 8*f**3 - 3*f**2 - 2*f - 3. Let k(y) = -y**3 - y**2 - y - 1. Let c(a) = 3*k(a) - z(a). What is the second derivative of c(s) wrt s?
-66*s
Find the third derivative of x**6 + 14*x**2 + 3*x**6 - 3*x**6 wrt x.
120*x**3
Let t(s) be the first derivative of s**5/20 + s**3/3 - 4*s + 3. Let j(m) be the first derivative of t(m). What is the second derivative of j(h) wrt h?
6*h
Let g(f) be the second derivative of -f**6/240 + f**5/120 - f**4/4 + 6*f. Let v(r) be the third derivative of g(r). Differentiate v(j) wrt j.
-3
Suppose -2*c = 2*z, 3*z - 7*z = 0. Suppose 2*t = 5*d - 5 - 7, c = 2*d + 4*t. Find the third derivative of -5*v**3 + v**3 + 2*v**3 + 5*v**d - 3*v**2 wrt v.
-12
Let p(k) = k**3 + 5*k**2 + 1. Let z be p(-5). Differentiate -2*n**2 + 4*n**2 - z + n**2 - n**2 with respect to n.
4*n
Find the second derivative of -w - 5*w + 3*w + w**5 - 13*w**5 wrt w.
-240*w**3
Let f(k) = -21*k + 10. Let p(c) = -42*c + 19. Let g(x) = 11*f(x) - 6*p(x). Differentiate g(a) with respect to a.
21
Let f = 9 + -5. Suppose 0 = -2*d - v + 8, 0*d = f*d - v - 22. What is the second derivative of 8*p**5 - 5*p**d - 2*p + 0*p wrt p?
60*p**3
Let j(i) be the first derivative of i**8/420 - i**4/6 + i**3 + 5. Let p(u) be the third derivative of j(u). What is the derivative of p(k) wrt k?
16*k**3
Let o(k) be the second derivative of 8*k**7/21 - k**4/6 + 15*k. What is the third derivative of o(f) wrt f?
960*f**2
Let z(d) be the second derivative of 0 + d**2 + d - 1/6*d**3. What is the derivative of z(g) wrt g?
-1
Find the third derivative of -5*p**4 - p**4 - 11*p**2 - 3*p**4 wrt p.
-216*p
Find the first derivative of -7 + 13 + 10*u**4 - 18 wrt u.
40*u**3
Let n(b) = b**2 - 4*b + 2. Let j be n(0). Let t be 2/(1 + 1) + 2. Find the third derivative of -2*u**t + 0*u**2 + u**j + 2*u**3 - 3*u**4 wrt u.
-72*u
Let w = 20 - 18. Let x(o) be the second derivative of 0*o**4 - 1/3*o**3 - 1/20*o**5 + 0*o**w + 0 + o. Find the second derivative of x(n) wrt n.
-6*n
Let t(i) be the second derivative of i**6/240 - i**5/120 + i**4/4 + 2*i. Let v(d) be the third derivative of t(d). What is the first derivative of v(m) wrt m?
3
Let u(z) = -63*z**4 - 49*z**3 - 7*z**2 + 49*z. Let s(t) = -8*t**4 - 6*t**3 - t**2 + 6*t. Let o(g) = 49*s(g) - 6*u(g). Find the third derivative of o(x) wrt x.
-336*x
Let s(l) be the first derivative of 2 + 1/2*l**2 - 1/3*l**3 + 3*l. Let v(g) be the first derivative of s(g). What is the derivative of v(h) wrt h?
-2
Let z(b) be the first derivative of -b**5/5 - 7*b**3/3 - 6. Find the third derivative of z(a) wrt a.
-24*a
Let t(l) be the first derivative of -l**4 + 3*l + 11. Differentiate t(v) with respect to v.
-12*v**2
Find the first derivative of 7 - 14*c**4 + 13 - 14 wrt c.
-56*c**3
Let h(i) be the third derivative of -i**6/120 - i**4/24 + 3*i**2. What is the second derivative of h(l) wrt l?
-6*l
Let o(c) be the first derivative of -27*c**4/4 - 21*c - 9. What is the derivative of o(l) wrt l?
-81*l**2
Let d(s) be the first derivative of -s**5/30 - s**3/3 + 3*s**2 - 3. Let h(p) be the second derivative of d(p). Differentiate h(b) with respect to b.
-4*b
Let j(t) be the second derivative of -3*t**7/14 - t**4/4 + 26*t**3/3 - 4*t - 2. What is the second derivative of j(b) wrt b?
-180*b**3 - 6
Let j(p) be the third derivative of p**8/840 - p**4/12 - p**3/3 + 3*p**2. Let r(c) be the first derivative of j(c). What is the first derivative of r(i) wrt i?
8*i**3
What is the derivative of j**3 - j**3 + 109 + 2*j**4 - 106 wrt j?
8*j**3
What is the first derivative of -14 - 11 + 30 + 2*v**2 wrt v?
4*v
Let m(g) be the second derivative of 3*g + 0*g**3 + 3/56*g**8 + 0*g**2 + 0*g**7 + 0 + 0*g**6 + 1/12*g**4 + 0*g**5. What is the third derivative of m(i) wrt i?
360*i**3
Let v = -1 + 1. What is the first derivative of v + 0 - i**2 + 0 + 4 wrt i?
-2*i
Find the third derivative of 3*q**5 + 0*q**2 - q**2 + 10*q**5 + 10*q**2 wrt q.
780*q**2
What is the second derivative of -1 - 6 + 5*q + 15*q**3 + 4 + 0 wrt q?
90*q
Let s(h) be the third derivative of 11*h**7/210 - 7*h**5/12 + 6*h**2. Find the third derivative of s(j) wrt j.
264*j
Let y(i) = 11*i**5 + 13*i**2 + 33*i. Let w(h) = 5*h**5 + 6*h**2 + 16*h. Let f(t) = 13*w(t) - 6*y(t). Find the second derivative of f(q) wrt q.
-20*q**3
Let u = 11 - 11. Suppose u = o - 4 - 0. Find the second derivative of 18 - 18 + 4*v + v**o wrt v.
12*v**2
Suppose 0 = 5*b - w - 7, 5*b - 6*w = -3*w + 1. Suppose -1 = -3*m + 5. What is the second derivative of -g**2 + m*g**2 + g**2 + b*g wrt g?
4
Let j(c) be the second derivative of -5*c**4/24 - c**3/3 + c**2/2 + 5*c. Let t(s) be the first derivative of j(s). What is the derivative of t(r) wrt r?
-5
Let o(p) be the third derivative of 0*p**4 + 1/6*p**3 + 4*p**2 - 1/20*p**6 + 0*p**5 + 0 + 0*p. Differentiate o(r) wrt r.
-18*r**2
Let g(p) be the first derivative of -7 - 3/2*p**2 - 3*p. Differentiate g(r) with respect to r.
-3
What is the second derivative of 3*q - q**2 - 2*q**5 + 35*q - q**5 wrt q?
-60*q**3 - 2
Suppose 9 = -y + 4*y. What is the derivative of 2*i**3 + 5*i**y - 8 + i**3 wrt i?
24*i**2
Suppose 0*f + 4*f = 8. Let h(a) be the first derivative of -2 + a**2 + 2*a - 6*a**f + 4*a**2. What is the first derivative of h(c) wrt c?
-2
Let f(y) = -50*y**3 - 41*y**2. Let g(k) = -k**3 + k**2. Let l(a) = f(a) - 5*g(a). Find the third derivative of l(r) wrt r.
-270
Let i(a) = 84*a**3 + 11*a**2 + 85*a - 11. Let u(x) = -17*x**3 - 2*x**2 - 17*x + 2. Let l(t) = 2*i(t) + 11*u(t). What is the second derivative of l(p) wrt p?
-114*p
Let j(n) = n + 4. Let d be j(0). What is the third derivative of -3*f**d - f + 5*f**4 + f - 3*f**2 wrt f?
48*f
Let i(h) = -h - 5. Let o be i(-7). Find the third derivative of -9*v**o - 11*v**6 + 11*v**6 - 6*v**6 wrt v.
-720*v**3
Let p(t) be the second derivative of t**8/1344 - t**5/24 - t**4/2 + 2*t. Let h(r) be the third derivative of p(r). What is the derivative of h(g) wrt g?
15*g**2
Let c(h) = 2*h**3 + 3*h**2 + 31. Let x(z) = 2*z**3 + 2*z**2 + 32. Let y(p) = 2*c(p) - 3*x(p). Find the first derivative of y(b) wrt b.
-6*b**2
Let f be 4*((-6)/(-8) - 0). Suppose -f*v + 3*s + 3 = -0*v, -8 = -2*s. Find the second derivative of 0*q**5 + q - 3*q**5 + 2*q**v wrt q.
-20*q**3
Let b(n) = 13*n - 14. Let d(v) = 7*v - 7. Let u(o) = 6*b(o) - 11*d(o). Differentiate u(r) wrt r.
1
Let x(c) be the second derivative of -c**5/20 - c**4/12 + 2*c. Let o be x(0). What is the second derivative of d**2 + o*d - 2*d**2 - d wrt d?
-2
Find the first derivative of -7 - 4*w**4 + 11*w**4 + 20 wrt w.
28*w**3
Let r(w) = -w**2 - 7*w + 1. Let s be r(-7). Let i = 5 - s. Find the second derivative of 4*t - 3*t - i*t**5 + 6*t**5 wrt t.
40*t**3
Let y(h) be the third derivative of 0*h**3 + 2*h**2 + 0 + 1/60*h**5 + 5/24*h**4 + 0*h. What is the second derivative of y(a) wrt a?
2
Suppose 0 = 2*d - 5 - 7. Let m = d - 3. What is the second derivative of 1 + m*n - 2 + 1 + n**2 wrt n?
2
Let w = -17 + 21. What is the second derivative of 3*f**2 - 4*f + 11*f**3 - 3*f**2 - w*f**3 wrt f?
42*f
Let a be (-4)/6 + (-96)/18. Let b(g) = 3*g**2 + 11*g. Let f(n) = 4*n**2 + 11*n. Let i(x) = a*f(x) + 7*b(x). What is the second derivative of i(t) wrt t?
-6
Let d be 8/2 + (-5 - -3). Suppose 4 = 4*s - i + d, s + 4*i = -8. What is the first derivative of -3*c**2 + 2*c**4 + 3 + s*c**4 + 3*c**2 wrt c?
8*c**3
Let s(w) be the second derivative of 0 + 3*w - 1/2*w**2 + 1/3*w**3. Differentiate s(u) with respect to u.
2
Suppose 0 = -2*v - 4*y - 24, -2*v = v + 5*y + 32. Let n = v + 7. What is the first derivative of 3 + 4 - 2*c**3 - 3 - n wrt c?
-6*c**2
Suppose 10 = 2*s - 0. What is the second derivative of 0*u - 2*u + 0*u - u + 2*u**s wrt u?
40*u**3
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