*o
Let f(i) = -15*i**2 + 6. Let o(l) = 7*l**2 - 3. Suppose -15 = -4*j - 3, 0 = -4*c - 2*j + 30. Let k(h) = c*f(h) + 13*o(h). Differentiate k(d) wrt d.
2*d
Let g(p) be the third derivative of p**2 + 0 + 1/10*p**5 + 0*p + 1/12*p**4 + 0*p**3. What is the second derivative of g(b) wrt b?
12
Let y(i) = i**3 + 6*i**2 + 4*i + 1. Let t be y(-5). Let b = t + -2. Find the second derivative of b*s + s**4 - s - 2*s wrt s.
12*s**2
Let p(x) be the first derivative of -x**4/24 - x**3/2 + 3*x**2/2 - 4. Let d(g) be the second derivative of p(g). What is the first derivative of d(u) wrt u?
-1
What is the second derivative of -4*m - 22*m**5 - 35*m**4 + 35*m**4 wrt m?
-440*m**3
Let g(l) = l - 8. Let a be g(9). Let p = 1 - a. What is the second derivative of q**3 + p*q**3 + q - 3*q**3 wrt q?
-12*q
Find the third derivative of 7*z**4 + 16*z**2 - 29*z**4 + 8*z**2 wrt z.
-528*z
Differentiate 17*k**2 + 6 - 2 - 24*k**2 wrt k.
-14*k
Let f(i) be the third derivative of 3*i**7/70 - 5*i**4/24 + 4*i**2. What is the second derivative of f(c) wrt c?
108*c**2
Let f(d) be the third derivative of 0*d**6 + 0*d - 4/3*d**3 + 1/42*d**7 + 0*d**5 + 5*d**2 + 0*d**4 + 0. What is the first derivative of f(j) wrt j?
20*j**3
Let l(d) be the first derivative of -4*d**5/5 - d**4/2 + d**2/2 - 2*d - 42. What is the second derivative of l(m) wrt m?
-48*m**2 - 12*m
Let b(f) be the second derivative of 0 + 0*f**2 + 6*f - 7/12*f**4 + f**3. Find the second derivative of b(h) wrt h.
-14
Let v(h) be the third derivative of -h**3/6 - 5*h**2. Let d(s) = -2*s**4 - 2. Let a(g) = d(g) + 2*v(g). Differentiate a(n) wrt n.
-8*n**3
Let l = 16 - 14. What is the third derivative of -l*r**2 + 2*r**2 + 7*r**3 + 4*r**2 wrt r?
42
Find the third derivative of 7*i**6 + 82 + 4*i**2 - 82 wrt i.
840*i**3
Suppose 4*i + 4*v - 20 = 0, -5*v = 3 - 13. Differentiate 6 + 4*w - 4*w + 3*w**i with respect to w.
9*w**2
Let p(b) = 3*b**2 - 2*b - 6. Let a(o) = -o**2 - 1. Let g(r) = -6*a(r) + p(r). Find the second derivative of g(y) wrt y.
18
Find the first derivative of 403*f - 403*f + 9*f**4 - 5 wrt f.
36*f**3
Let q(x) be the second derivative of -3*x**5/10 + 2*x**3/3 + x. What is the second derivative of q(p) wrt p?
-36*p
Suppose -2*d + 0 = -10. Let j(g) be the third derivative of g**2 + 0*g + 1/60*g**d + 1/3*g**3 + 0 + 0*g**4. What is the first derivative of j(x) wrt x?
2*x
Let w(d) be the third derivative of -11*d**6/120 - 3*d**4/2 - 7*d**2 - 2*d. Find the second derivative of w(q) wrt q.
-66*q
Let k(f) be the second derivative of -8*f**6/15 - 17*f**2/2 - 33*f. Find the first derivative of k(w) wrt w.
-64*w**3
Let n(b) = 3*b**2 - 2*b**2 + 0*b**2. Let l(o) = -o**3 - 5*o**2 + 1. Let c = 23 + -28. Let m(f) = c*n(f) - l(f). Differentiate m(i) wrt i.
3*i**2
Suppose 0 = 4*v - 8, -2*i = 5*v - 0*v - 14. What is the derivative of 4*t**2 + 2 - 6*t**2 + 2*t**2 + 6*t**i wrt t?
12*t
Suppose -d + 1 = -3. What is the third derivative of c**d - c**2 - 4*c**4 - 2*c**2 wrt c?
-72*c
Find the first derivative of -14*u**2 - 15*u**2 + 11 + 27*u**2 wrt u.
-4*u
Let i = 17 - 15. What is the first derivative of -5 + 4*n**i - 3*n**2 + 2 - 3*n**2 wrt n?
-4*n
Let l(c) be the second derivative of -1/6*c**4 + 0*c**3 + 0*c**6 + c + 0*c**7 - 1/56*c**8 + 0*c**5 + 0 + 0*c**2. What is the third derivative of l(h) wrt h?
-120*h**3
Suppose b + 2 = 2*b. What is the third derivative of 0*j**b - 3*j**4 - 5*j - j**2 + 5*j wrt j?
-72*j
Let t(q) = q**2 + 9*q + 3. Let f be t(-9). What is the derivative of 2*a**4 + 1 + 3*a**f - 3*a**3 - 8 wrt a?
8*a**3
Suppose 3*i - 8 = 10. Suppose 5*o + t - 11 = 0, 2*o - 3*t + 5*t = i. Differentiate o*v - 5*v + 1 + 2*v wrt v.
-1
Let o(l) be the second derivative of -l**6/30 + 5*l**3/6 - 2*l. What is the second derivative of o(n) wrt n?
-12*n**2
Find the third derivative of 12*f**2 - 20*f**2 + 13*f**2 + 5*f**5 wrt f.
300*f**2
Let c = 4 + -2. Let x = -3 + 5. What is the second derivative of 6*w**2 - w**4 - x*w - 6*w**c wrt w?
-12*w**2
Let r(t) be the third derivative of 0*t**4 - 5*t**2 + 1/2*t**3 + 0*t - 1/60*t**5 + 0. Differentiate r(s) wrt s.
-2*s
Let k(m) = 2*m**3 - m**2 + 1. Let w be k(1). Suppose w*h - 10 = -4*c, 5*h = -2*c - c + 11. What is the first derivative of -4*u**2 + 1 + h - 1 wrt u?
-8*u
Let w(d) be the first derivative of 29*d**4/4 + 47*d + 4. What is the derivative of w(s) wrt s?
87*s**2
Let r(s) = -3*s**3 + 11*s - 6. Let y(d) = 11*d - 13 + 8*d + 4*d - 7*d**3. Let b(l) = -13*r(l) + 6*y(l). Find the second derivative of b(x) wrt x.
-18*x
Let y(q) = 7*q**4 - 5*q**3 - 9*q - 5. Let j(o) = -o**4 + o**3 + 1. Let h = -3 - -4. Let t(p) = h*y(p) + 5*j(p). Find the second derivative of t(i) wrt i.
24*i**2
What is the second derivative of -5*w + 9*w - 3*w**4 + 6*w**4 wrt w?
36*w**2
Differentiate -13 - 157*j + 157*j - 12*j**3 with respect to j.
-36*j**2
Let c(j) be the second derivative of -8*j - 5/2*j**2 + 0 + 1/3*j**3. What is the first derivative of c(s) wrt s?
2
Let m be (4 - 2)/(-1 - -2). Find the second derivative of 0*p + m*p**2 - 2*p + 0*p wrt p.
4
Let j(o) be the first derivative of 0*o**3 - 3 - 6*o - 3/2*o**4 + 0*o**2. Find the first derivative of j(v) wrt v.
-18*v**2
Let y(o) be the first derivative of o**5/30 - 5*o**4/24 + 5*o**2/2 - 2. Let t(w) be the second derivative of y(w). Find the second derivative of t(s) wrt s.
4
Find the third derivative of 602*c**4 - 1201*c**4 - 45*c**6 + 599*c**4 + 19*c**2 wrt c.
-5400*c**3
Differentiate -7*n**2 + 0*n**2 + 5*n**2 + 5 wrt n.
-4*n
Let a(j) = 3*j**4 - 7*j + 6. Let l(d) = -22*d + 2*d**4 + 17 + 2*d + 6*d**4. Let b(g) = -17*a(g) + 6*l(g). What is the second derivative of b(k) wrt k?
-36*k**2
What is the derivative of -44 - 6*u**4 - u - u + 65 wrt u?
-24*u**3 - 2
Let l(n) be the first derivative of 0*n**4 + 3/5*n**5 + 2 + 0*n + 0*n**3 + 2*n**2. Find the second derivative of l(x) wrt x.
36*x**2
Let c(i) be the second derivative of 7*i**5/20 + 3*i**2 - 8*i. What is the derivative of c(a) wrt a?
21*a**2
Let b(r) be the second derivative of -3*r + 1/3*r**3 + 5/12*r**4 + 0*r**2 + 0. What is the second derivative of b(k) wrt k?
10
Let k(c) be the first derivative of -7*c**6/120 - c**5/12 - c**2 - 7. Let n(i) be the second derivative of k(i). Find the third derivative of n(w) wrt w.
-42
Let f(t) be the first derivative of 4*t**2 - 19*t - 14. Differentiate f(j) with respect to j.
8
Suppose 5*b - 6 + 1 = -5*w, -2*w = 4*b. Let s(a) = a - 4. Let t be s(6). Find the second derivative of -w*z - z**5 - t*z + 5*z wrt z.
-20*z**3
Let s(b) = 8*b. Let a be s(1). Let c = a + -6. Find the first derivative of -w - 4*w - 1 + 3*w - c*w wrt w.
-4
Let l(u) = 16*u**3 - 15*u - 5. Let q be 9/6 - 7/2. Let p(k) = -8*k**3 + 7*k + 2. Let w(x) = q*l(x) - 5*p(x). What is the second derivative of w(r) wrt r?
48*r
Let q(t) be the second derivative of t**6/40 + t**5/20 + t**2 + 3*t. Let n(b) be the first derivative of q(b). What is the third derivative of n(u) wrt u?
18
Let m(v) be the first derivative of -v**3 - 2*v - 3. Let r(i) = -14*i**2 - 10. Let z(t) = -11*m(t) + 2*r(t). What is the derivative of z(s) wrt s?
10*s
Suppose 8 = 3*l - 7. Let t = l - 3. What is the second derivative of 3*v - 19*v**2 + 2*v**5 + 19*v**t wrt v?
40*v**3
Let r(t) be the first derivative of 4/3*t**3 - 3 - t**2 + 0*t. What is the second derivative of r(i) wrt i?
8
Let d = -2/109 - -129/1090. Let t(m) be the second derivative of -2*m + 0*m**3 - d*m**5 + 0*m**2 + 1/4*m**4 + 0. What is the third derivative of t(y) wrt y?
-12
Let a(m) be the first derivative of 5*m**2 + 0*m - 10 - 5/3*m**3. What is the second derivative of a(t) wrt t?
-10
Let q(n) be the first derivative of -n**6/20 + n**4/24 + 3*n**2 + 6. Let u(d) be the second derivative of q(d). What is the second derivative of u(t) wrt t?
-36*t
Suppose 3*h = -4*m + 7*m + 18, 4*h - 5*m - 23 = 0. What is the second derivative of -32 - 2*c - h*c**3 + 32 wrt c?
-42*c
Let g(a) be the third derivative of a**5/60 - 5*a**3/3 - 14*a**2. Differentiate g(j) wrt j.
2*j
Let o(i) = 4*i**5 - 4*i**4 + 4*i**3 - i + 4. Let m(v) = 4*v**5 - 3*v**4 + 3*v**3 + 3. Let g(n) = 4*m(n) - 3*o(n). Find the second derivative of g(p) wrt p.
80*p**3
Let f(g) = g + 1. Let a(l) = -l**2 - 4*l + 11. Let j(d) = a(d) + 4*f(d). Differentiate j(m) wrt m.
-2*m
Let w(n) = 25*n**4 + 7*n**2 - 3*n - 7. Let u(t) = 13*t**4 + 3*t**2 - t -