e second derivative of x(d) wrt d.
12*d**2
Let p = 27 - 13. Find the second derivative of -f**3 + p*f - 18*f - f**3 wrt f.
-12*f
Let i(d) be the second derivative of d**7/70 - d**3/3 - 3*d**2/2 + 5*d. Let g(s) be the first derivative of i(s). Differentiate g(a) with respect to a.
12*a**3
Let r(m) be the first derivative of 3 + 0*m**2 + 4*m + 0*m**3 + 0*m**4 + 4/5*m**5. Differentiate r(i) with respect to i.
16*i**3
Suppose 0 = 2*i - 7*i. What is the second derivative of t**3 + 5*t - 4*t**3 + i*t wrt t?
-18*t
Let k(o) = 12*o**5 - 8*o**3 + 19*o - 8. Let b(r) = 8*r**5 - 5*r**3 + 13*r - 5. Let y(v) = -8*b(v) + 5*k(v). Find the second derivative of y(x) wrt x.
-80*x**3
Let n = 1 - -1. Differentiate 3*g**2 + 8*g - 8*g + n wrt g.
6*g
Let o(i) be the second derivative of -1/6*i**4 + 7/6*i**3 + 0 + 8*i + 0*i**2. What is the second derivative of o(y) wrt y?
-4
Let n(c) = c**3 + 4*c**2 + 3*c + 2. Let u be n(-3). Let o(i) = -2*i - 1. Let b be o(-2). Find the first derivative of -b + 3 - u - m wrt m.
-1
Find the third derivative of -5*g**2 - 10*g**2 - 10*g**5 - g**2 - 6*g**2 wrt g.
-600*g**2
Let w(k) be the third derivative of 0*k**5 + 0*k**6 + 1/210*k**7 + 0*k**3 + 0 - 3*k**2 - 1/4*k**4 + 0*k. What is the second derivative of w(q) wrt q?
12*q**2
Let q = -6 + 14. Suppose n - q = -3*n. What is the third derivative of -2*o**2 + n*o**6 - 3*o**6 + 2*o**6 wrt o?
120*o**3
Let y(u) be the third derivative of u**5/60 + u**4/24 - 6*u**2. Find the second derivative of y(i) wrt i.
2
Let u(t) = t**3 - 3*t**2 - 5*t + 5. Let j be u(4). Find the second derivative of 0*y + 3*y**5 + 1 - j + 3*y wrt y.
60*y**3
Find the first derivative of 39 - 5*v**4 - 68 - 2*v**4 + 5*v**4 wrt v.
-8*v**3
Let x(a) = -a**2 + 7. Let u(b) = -b**2 + 4. Let h(m) = -11*u(m) + 6*x(m). What is the first derivative of h(n) wrt n?
10*n
Suppose 25 = 3*z - 32. Find the second derivative of -19 + 2*v**4 + z + 2*v wrt v.
24*v**2
Let d(a) = -a**3 - a**2 - a + 1. Let z(w) = -3*w**3 - 5*w**2 - 12*w + 5. Let u(f) = -10*d(f) + 2*z(f). Find the second derivative of u(r) wrt r.
24*r
Let t(b) be the first derivative of b**10/5040 - b**6/180 - b**3 + 1. Let s(g) be the third derivative of t(g). What is the third derivative of s(n) wrt n?
120*n**3
Let f(i) be the third derivative of i**6/20 + i**5/12 + 6*i**2. What is the third derivative of f(x) wrt x?
36
Differentiate -4 + 0 - 3 - 5*w**2 with respect to w.
-10*w
Find the first derivative of -3 + 2 - 3*m**2 - 4 - 6*m**2 wrt m.
-18*m
Let o(r) be the first derivative of 5*r**4/2 + 14*r**3/3 + 11. What is the third derivative of o(t) wrt t?
60
Let l(k) = 2*k. Let y be l(5). Suppose -4*j + w = -17, -5*j + 2*w - y = 7*w. What is the second derivative of -3*m**3 + 0*m + 4*m**j + m + m**3 wrt m?
12*m
Let m = 17 + -41. Let r be ((-9)/(-6))/((-9)/m). Differentiate 3*c - c - r*c**4 - 2*c + 3 wrt c.
-16*c**3
Let m(c) be the third derivative of c**6/24 + c**5/30 - 31*c**3/6 + 5*c**2 + 9. Differentiate m(x) wrt x.
15*x**2 + 4*x
Let p(b) be the third derivative of 7*b**6/20 - 2*b**5/15 + b**4/6 + 3*b**2. Find the third derivative of p(k) wrt k.
252
What is the third derivative of 101*x**2 + 119*x**2 + x**3 - 245*x**2 wrt x?
6
Let x(v) be the third derivative of 0*v + 1/30*v**5 + 0 + 3*v**2 + 2/3*v**3 + 0*v**4. What is the first derivative of x(a) wrt a?
4*a
Let v(z) be the third derivative of z**8/2240 - z**5/40 + z**4/12 - z**2. Let t(m) be the second derivative of v(m). Differentiate t(n) with respect to n.
9*n**2
Let m(y) be the second derivative of -y**6/90 - y**5/24 + 4*y**3/3 + 6*y. Let k(i) be the second derivative of m(i). Find the second derivative of k(f) wrt f.
-8
Suppose -t + 2*d = -21, -4*d + 66 = 6*t - 4*t. Suppose 4*m - v - t = 0, -5*m - v - 4*v + 40 = 0. What is the third derivative of m - 7 + 2*o**4 + 2*o**2 wrt o?
48*o
Let v = 3 - 0. What is the third derivative of v*g**4 - 2*g**2 + 2*g**2 - 2*g**2 - 5*g**4 wrt g?
-48*g
What is the third derivative of -386*s**2 + 12*s**6 + 20*s**6 + 396*s**2 wrt s?
3840*s**3
What is the third derivative of -110*c + 110*c - 21*c**2 + 6*c**6 wrt c?
720*c**3
Let r(w) = -2*w + 9*w**2 + 2*w - w**2 - 7*w. Let n(b) = b**2 - b. Let p(y) = 4*n(y) - r(y). What is the second derivative of p(a) wrt a?
-8
Let t be (6/(-4))/(2/12*-3). Suppose 0*h = -2*h + 10. Find the second derivative of 7*p**h - 16*p + 18*p - t*p**5 wrt p.
80*p**3
Let y(f) be the second derivative of -7*f**3/6 - 2*f**2 + 3*f. What is the derivative of y(p) wrt p?
-7
Let p(u) = 9*u**2 + 6*u - 2. Let v(y) = 36*y**2 + 24*y - 9. Let s(w) = -18*p(w) + 4*v(w). What is the second derivative of s(a) wrt a?
-36
Let o(y) be the first derivative of -y**6 - 12*y**2 - 9. What is the second derivative of o(a) wrt a?
-120*a**3
Let i(s) be the third derivative of s**9/7560 - s**6/90 - 3*s**5/20 - 5*s**2. Let p(f) be the third derivative of i(f). What is the derivative of p(y) wrt y?
24*y**2
Let s(v) be the second derivative of v**8/8 - v**4/3 + 5*v. Find the third derivative of s(u) wrt u.
840*u**3
Let i(j) be the second derivative of j**11/27720 - j**7/630 + j**4/4 + j. Let h(k) be the third derivative of i(k). What is the third derivative of h(c) wrt c?
240*c**3
Let m(d) = -12*d**3 + 6*d**2 + 29*d - 6. Let b(z) = -11*z**3 + 5*z**2 + 30*z - 5. Let j(f) = -6*b(f) + 5*m(f). What is the second derivative of j(q) wrt q?
36*q
Suppose -2 - 8 = -5*y. Let z(h) = h**2 + 2*h - 3. Let d be z(-3). What is the second derivative of d*w + 0*w - w - y*w**5 wrt w?
-40*w**3
Let n(h) be the third derivative of h**6/8 + 5*h**4/6 + 11*h**2. Find the second derivative of n(y) wrt y.
90*y
Let p(i) = -8*i**4 + 4*i**4 + i + 0*i. Let r(l) = -5*l**4 + l. Let m(w) = 4*p(w) - 3*r(w). What is the second derivative of m(j) wrt j?
-12*j**2
Let p(g) = g**3 + 1. Let c(k) = -13*k**3 - 5*k**2 - 4. Let h(j) = c(j) + 4*p(j). What is the third derivative of h(w) wrt w?
-54
Let o(c) be the third derivative of 0*c**4 + 0*c + 0 + 1/60*c**5 + 0*c**3 + 1/60*c**6 - 2*c**2. Find the third derivative of o(f) wrt f.
12
Find the second derivative of 2*f**4 - 3*f**4 + 5*f + 7*f**4 wrt f.
72*f**2
Let z(p) = p**2 + 7*p + 7. Let b be z(-7). Find the third derivative of 4*a**4 - 4*a**4 + 3*a**5 + b*a**2 - 6*a**2 wrt a.
180*a**2
What is the third derivative of -2*j**2 - 1306*j - 17*j**3 + 1306*j wrt j?
-102
Suppose -49*c + 6 = -47*c. Let u(z) be the third derivative of 1/24*z**4 + 0 + 0*z + 3*z**2 - 2/3*z**c. Differentiate u(l) wrt l.
1
Let y(k) = -k**2 - 6*k - 5. Let x be y(-5). Let j be x + 2/1 - 0. What is the third derivative of -2*l**5 - 9*l**2 + 0*l**5 + 11*l**j wrt l?
-120*l**2
What is the third derivative of m**6 + 2*m**2 - 2*m**6 + 5*m**2 wrt m?
-120*m**3
Let i = 0 + 3. What is the second derivative of -4*z**3 + 4*z + z**i - 5*z + 4*z wrt z?
-18*z
What is the third derivative of 11*l**4 - 14*l**2 - 11*l**4 - 6*l**5 + 19*l**5 wrt l?
780*l**2
Let m(h) = -h**2 - 6*h - 2. Let l be m(-5). Differentiate -k**l - 3*k**3 + k**3 + 3 with respect to k.
-9*k**2
Suppose 0*m = 3*m. Differentiate -3*v**2 + 0*v**2 - 1 + m*v**2 + 2*v**2 with respect to v.
-2*v
Let b(k) be the first derivative of -7*k**5/5 + 3*k**3 - 5. What is the third derivative of b(z) wrt z?
-168*z
Let o = -7 + 1. Let a(u) = -8*u - 1. Let i(k) = -9*k - 1. Let b(d) = o*a(d) + 5*i(d). Differentiate b(r) with respect to r.
3
Let d(q) be the second derivative of 4/3*q**3 + 0 - 9/2*q**2 + q. What is the first derivative of d(s) wrt s?
8
Let m(o) be the second derivative of -2*o**8/7 + 5*o**4/4 - 11*o. Find the third derivative of m(r) wrt r.
-1920*r**3
Let i be 36/8*(-4)/(-3). Differentiate 2 - i*d**2 + 0 + 3*d**2 with respect to d.
-6*d
Let i(p) be the second derivative of -3*p**4/4 + 4*p**2 - 5*p. Let c(m) = 10*m**2 - 8. Let a(v) = 5*c(v) + 6*i(v). Find the first derivative of a(j) wrt j.
-8*j
Let r = 5 - 3. What is the third derivative of -3*b**5 - b**2 - b**5 + 2*b**r wrt b?
-240*b**2
Let j = -8 + 5. Let z be j/(1*3/(-4)). Find the second derivative of z*g + 4*g - 3*g - 2*g**5 wrt g.
-40*g**3
Let b(u) be the third derivative of -11*u**7/42 - 29*u**5/30 + 3*u**2 - 1. What is the third derivative of b(p) wrt p?
-1320*p
Let i(y) = 10*y**4 - 3*y**3 - y**2 + 3. Let v(f) = -50*f**4 + 14*f**3 + 6*f**2 - 14. Let j(q) = -14*i(q) - 3*v(q). What is the third derivative of j(o) wrt o?
2