a
Let x(y) be the first derivative of y**4/24 + 2*y**3/3 + 2*y**2 + 2. Let u(f) be the second derivative of x(f). What is the first derivative of u(c) wrt c?
1
Let u(o) = 2*o**3 + 10*o**2 - 7*o. Let q(z) = -z**3 - 9*z**2 + 6*z. Let x(t) = 7*q(t) + 6*u(t). Find the third derivative of x(i) wrt i.
30
Let t(r) = 15*r**4 - 35*r + 9. Let n(k) = -7*k**4 + 17*k - 4. Let g(m) = -9*n(m) - 4*t(m). Find the second derivative of g(x) wrt x.
36*x**2
Let q(i) be the third derivative of 0 + 1/2*i**3 + 0*i**4 - i**2 + 1/70*i**7 + 0*i + 0*i**5 + 0*i**6. Find the first derivative of q(t) wrt t.
12*t**3
Suppose -25 = -3*q - 2*q. Find the second derivative of 4*f**5 - 2*f - f**q - 2*f**5 wrt f.
20*f**3
Let n = -2 + 6. Differentiate 2*o**2 - n - 3*o**2 + o**2 - 3*o**4 wrt o.
-12*o**3
Let w(n) = -7*n - 1. Let y be w(-1). Find the first derivative of a**4 - y*a + 3*a + 3*a + 3 wrt a.
4*a**3
Let u(r) = r**4 + r**3 + r**2 - r - 1. Let a(j) = 3*j**4 + 5*j**3 - j**2 - 5*j - 5. Let p(w) = a(w) - 5*u(w). Find the third derivative of p(h) wrt h.
-48*h
Let s(h) = 89*h**4 - 11*h**3 + 11*h**2 + 48. Let v(d) = 30*d**4 - 4*d**3 + 4*d**2 + 16. Let b(a) = -4*s(a) + 11*v(a). Find the first derivative of b(y) wrt y.
-104*y**3
Let w(a) be the second derivative of 5*a**4/12 - 2*a**3/3 + 3*a. Find the second derivative of w(h) wrt h.
10
Let q = -9 + 11. Differentiate 6*p - p - 2 + 3 - q*p wrt p.
3
What is the second derivative of -12*d + 2*d + 7*d**5 + 2*d**5 wrt d?
180*d**3
Let n(s) be the third derivative of 0*s**7 + 1/12*s**5 - 1/168*s**8 + 0*s**6 + 0*s**3 + 0*s**4 + 3*s**2 + 0*s + 0. What is the third derivative of n(t) wrt t?
-120*t**2
Let q = 1 + 1. What is the second derivative of 8*n**2 - 3*n**2 + 2*n - 3*n - 2*n**q wrt n?
6
Let o(s) be the third derivative of -1/20*s**5 + 0 + 0*s**3 + 0*s + 1/40*s**6 + 0*s**4 - 3*s**2. Find the third derivative of o(f) wrt f.
18
Suppose 0*k - 5*k = -20. Suppose -3*b = -b - k. Find the third derivative of 0 - f**2 - 2*f**3 + 0 - b*f**2 wrt f.
-12
What is the third derivative of -4*s + 3*s + 20*s**3 - 10*s**2 + s wrt s?
120
Let y(n) be the first derivative of -11*n**3/3 - n**2 - 9. What is the second derivative of y(v) wrt v?
-22
Let r(a) = -8*a + 35. Let o(z) = 6*z - 23. Let h(s) = -8*o(s) - 5*r(s). Find the first derivative of h(b) wrt b.
-8
Let d(y) = -3*y**2 + 14*y + 5. Let t be d(5). Let p(f) be the first derivative of 3*f + t*f**2 - 1/3*f**3 - 1. Differentiate p(s) wrt s.
-2*s
Let o(w) be the second derivative of w**8/336 + w**5/60 + w**2 - 4*w. Let v(j) be the first derivative of o(j). Find the third derivative of v(s) wrt s.
60*s**2
Suppose 0 = -5*c + 8*c - 15. What is the third derivative of 0 + k**2 + c*k**4 + 1 - 1 wrt k?
120*k
Let t(p) = -8*p + 24. Let o(c) = -c**2 + 1. Let q(j) = -o(j) + t(j). Differentiate q(k) wrt k.
2*k - 8
Let b(w) be the third derivative of w**5/10 - w**4/6 + 9*w**2. What is the second derivative of b(r) wrt r?
12
Let a = 251161/210 - 1196. Let o(b) be the third derivative of 0*b**5 + 0 + 1/2*b**3 + a*b**7 + 0*b**6 - 2*b**2 + 0*b**4 + 0*b. Differentiate o(i) wrt i.
4*i**3
Let s be (-4)/(-3) + 1/(-3). Let a be (3/2 - s)*10. What is the second derivative of -4*t**2 + a*t**2 + t**2 + t wrt t?
4
What is the third derivative of -3*v**3 - 10*v - 2*v**2 + 10*v wrt v?
-18
Suppose 3*n = w + 12, n - 2*w = -2 + 6. What is the derivative of -4*m**n + 4*m**4 - 3*m**4 - 2 wrt m?
-12*m**3
What is the third derivative of -27*t**3 + 2*t**4 + 48*t**2 - 2*t**4 + 5*t**4 - 4*t**4 wrt t?
24*t - 162
Suppose -4*i - 5*k + 23 = 0, i + 3*k - 3 = 4*i. What is the first derivative of -1 + 2 + 3 + 7*x + i wrt x?
7
Let v(r) be the third derivative of -11*r**9/504 + 3*r**5/10 + 8*r**2. What is the third derivative of v(n) wrt n?
-1320*n**3
Find the first derivative of -4*k**3 + 6*k**3 - 22 - 2*k**3 + 3*k**3 wrt k.
9*k**2
Let z(q) be the third derivative of -q**5/10 - 8*q**3/3 - 22*q**2. What is the derivative of z(l) wrt l?
-12*l
Suppose 5*f - 4*f - 2 = 0. Find the third derivative of 0*g**3 + g**3 + 2*g**3 - 2*g**f + 0*g**3 wrt g.
18
Let y(d) be the first derivative of 11*d**6/2 + 27*d**2/2 + 44. Find the second derivative of y(w) wrt w.
660*w**3
Let f(o) be the third derivative of -o**9/2520 + o**5/30 - o**4/8 - 3*o**2. Let k(w) be the second derivative of f(w). Differentiate k(z) with respect to z.
-24*z**3
Let x(k) = -161*k**3 + 91*k**2 + 17*k + 17. Let p(m) = 54*m**3 - 30*m**2 - 6*m - 6. Let q(i) = 17*p(i) + 6*x(i). Find the third derivative of q(n) wrt n.
-288
Let m be 46/102 - 2/17. Let d(f) be the first derivative of -2 + 0*f**2 + f - m*f**3. What is the derivative of d(z) wrt z?
-2*z
Let y(q) be the first derivative of 25*q**4/2 - 49*q**3/3 - 27. Find the third derivative of y(m) wrt m.
300
Suppose 2*f + 0 = m + 8, 4*m - 16 = -4*f. Suppose 3*t - 6 = -m*t. Find the first derivative of t + 3 - 2 + q wrt q.
1
Let w(q) = -q - 1. Let s(z) = 12*z + 14. Let j(v) = -s(v) - 4*w(v). What is the derivative of j(r) wrt r?
-8
Let n = 4 + -5. Let f = 2 - n. Find the second derivative of 0*c + 0*c**3 - 2*c - c**f wrt c.
-6*c
Suppose -b = -2*b + 12. Let c be (-12)/10*(-40)/b. Find the second derivative of -5*o**5 + 0*o**4 + 8*o**5 + 0*o**c - 2*o wrt o.
60*o**3
Let h be -3 + (-5)/((-4)/4). What is the third derivative of -9*v + 9*v - 6*v**3 + 4*v**h wrt v?
-36
Let h(g) = -23*g**3 + 2*g**2 + 2*g - 50. Let s(b) = -b**2 - b + 1. Let x(p) = h(p) + 2*s(p). What is the derivative of x(k) wrt k?
-69*k**2
Let z(b) = -b**3 + 11*b**2 + b + 15. Let c be z(11). What is the third derivative of -4*p**2 - 7*p**2 - c*p**6 + 20*p**6 wrt p?
-720*p**3
Let z(a) = 5*a**2 - 4*a - 3. Let c(s) = 4*s**2 - 4 - 5*s - 2*s**2 + 4*s**2. Let t(d) = -4*c(d) + 5*z(d). Differentiate t(k) with respect to k.
2*k
Suppose -x + 1 + 3 = 0. Find the third derivative of 23 + x*a**2 - 23 + 4*a**6 wrt a.
480*a**3
Let a(i) be the first derivative of 0*i**2 - 1 - 3*i**3 + 11/4*i**4 + 0*i. What is the third derivative of a(g) wrt g?
66
Let j(i) = -8*i**5 - 5*i**4 + 5*i**2 + 6*i. Let o(f) = 7*f**5 + 6*f**4 - 6*f**2 - 5*f. Let k(p) = -6*j(p) - 5*o(p). Find the second derivative of k(s) wrt s.
260*s**3
Let m(n) be the second derivative of n**8/8 + n**4/12 + 7*n. What is the third derivative of m(p) wrt p?
840*p**3
What is the third derivative of -37*b**2 + 30*b**2 - 5*b**3 + 7*b**3 + 9*b**3 wrt b?
66
Let k(m) = -9*m**2 - 10*m + 3. Let f(n) = -10*n**2 - 11*n + 4. Let x(t) = 3*f(t) - 4*k(t). What is the second derivative of x(s) wrt s?
12
Let a(z) be the third derivative of 53*z**4/24 + 25*z**3/3 + 6*z**2 + 4. What is the derivative of a(x) wrt x?
53
Let n(h) be the second derivative of -h**9/168 - h**5/15 - h**2 - 3*h. Let k(w) be the first derivative of n(w). What is the third derivative of k(f) wrt f?
-360*f**3
Suppose 0 = -5*g + 3*n + 10, 2*g - 4*n + 0 - 4 = 0. Suppose -k + 12 = g*k. Find the third derivative of 2*i**2 + 4*i**k - 4*i**4 + 3*i**4 wrt i.
72*i
Let z(x) = -x**2. Let u = -5 - -3. Let p(j) = 3*j**2 + j. Suppose 0*d - 3*d - 15 = 0. Let a(l) = d*z(l) + u*p(l). What is the second derivative of a(s) wrt s?
-2
Find the third derivative of -24*w**2 + 2*w**5 - 13*w**2 + 3*w**5 wrt w.
300*w**2
Let u(f) be the second derivative of 0*f**6 - 1/21*f**7 + 0*f**5 + 0*f**2 - 1/6*f**3 + 0*f**4 + f + 0. What is the second derivative of u(w) wrt w?
-40*w**3
Let h(p) = 26*p**2 + 17*p + 3. Let j(v) = 25*v**2 + 17*v + 2. Let g(o) = 2*h(o) - 3*j(o). Find the second derivative of g(i) wrt i.
-46
What is the derivative of 5*w**3 + 16 - 6*w**3 - 5*w**3 - 4*w**3 wrt w?
-30*w**2
Let x(n) = -16*n**3 - n**2 + n + 1. Let t be x(-1). Find the third derivative of -3*g**6 - 10*g + t*g + g**2 - 5*g wrt g.
-360*g**3
Suppose -239 + 11 = -3*v. What is the first derivative of 3 - 36*d - 43*d + v*d wrt d?
-3
Let u(c) be the third derivative of -c**7/840 + c**6/360 + c**5/30 - 8*c**2. Let d(h) be the third derivative of u(h). Differentiate d(p) with respect to p.
-6
Let k(v) = 12*v**4 - 2*v**3 + 2*v**2 + 2*v. Let d(t) = -25*t**4 + 5*t**3 - 5*t**2 - 4*t. Let x(u) = -2*d(u) - 5*k(u). Find the second derivative of x(z) wrt z.
-120*z**2
Let c(j) be the second derivative of j**4/3 + j**2/2 + 6*j. What is the derivative of c(t) wrt t?
8*t
Let n(l) = -l**3 + 2*l**2 + 3*l. Let o be n(3). Let z(h) be the second derivative of o*h