 + 6*d**2 - 1/2*d**3 + 0 + 0*d. Find the first derivative of c(k) wrt k.
2
Find the third derivative of -35*h**6 - 19*h**2 + 18*h**2 + 4*h**6 - 15*h**2 wrt h.
-3720*h**3
Suppose -i - 5*o = 4*i - 20, 12 = 4*i + 3*o. What is the third derivative of -4*b**5 - 4*b**2 + i*b**2 + 0*b**5 wrt b?
-240*b**2
Suppose 2*o + 1 = -5. Let h = 3 + o. What is the third derivative of -4*m**3 + h*m**3 - 3*m**2 + m**2 - 2*m**2 wrt m?
-24
Let f = -1 + 3. Let h be 22/8 - (-6)/(-8). What is the second derivative of 0*a**2 + f*a - 2*a**h + a**2 wrt a?
-2
Let p(l) be the second derivative of l**6/5 - 5*l**3/6 - 4*l. What is the second derivative of p(r) wrt r?
72*r**2
Let g = 18 + -10. Suppose m + m + 14 = 2*w, 0 = 2*w - 3*m - 17. Find the second derivative of -5*z + g*z**2 - w*z**2 + 8*z wrt z.
8
Let b be ((-5)/(-2))/5*2. Let j be (0 + b)/(1/3). Find the second derivative of -j*y + 2*y + 2*y**2 - y wrt y.
4
Suppose 2*m = 4*h - 6, -2*m = h - 2 - 12. Differentiate -h + 6 - 5 - 6*k**3 + 3*k**3 wrt k.
-9*k**2
Let d(y) = 2*y**2 - 12*y + 2. Let a be d(6). Differentiate 0*t**2 - 2 + 0*t**a + 3*t**3 - 6 wrt t.
9*t**2
Let q be -6*(1 - (-4)/(-3)). Let t be 1/((-1)/(-5)) + -3. What is the second derivative of -x**t + 0*x**2 + 2*x**q - 2*x wrt x?
2
Let u(y) be the second derivative of 3*y**5/20 - 7*y**4/4 + 18*y. What is the third derivative of u(b) wrt b?
18
Suppose 4 = -5*o + 7*o. Let v = 3 - 2. What is the first derivative of -o + 3 + v - 3*i wrt i?
-3
Let p = -13 - -19. What is the third derivative of -2*m**5 - p*m**3 + 5*m**3 - m**2 + m**3 wrt m?
-120*m**2
Let m(b) = -7*b**3 + b. Let s be m(-1). What is the first derivative of 3*u - 3*u**2 - 4 - s*u + 3*u wrt u?
-6*u
Let o(u) be the first derivative of -17*u**4/4 - 9*u**2/2 - 5. What is the second derivative of o(q) wrt q?
-102*q
Let a = 27 + -15. Suppose 4*d = a - 4. Differentiate 0 + 2 + 0 + d*h**2 - 6 wrt h.
4*h
Let t(q) be the second derivative of q**5/4 - 43*q**4/12 + 2*q. What is the third derivative of t(a) wrt a?
30
Suppose -2*n = 5*c - 24, 4*n - c - c = 0. What is the third derivative of -2*r + 2*r + 2*r**n - 5*r**6 - 4*r**2 wrt r?
-600*r**3
What is the third derivative of -m**4 + 3*m**4 - 10*m**3 - m**3 - 5*m**2 - 5*m**3 - 2*m wrt m?
48*m - 96
Let b = -3 - -6. Find the second derivative of -12*i**2 + 5*i**b + 12*i**2 - i wrt i.
30*i
Let d be 30/9 - 2/6. Let g(z) = -6*z**2 + 2. Let q(a) = -5*a**2 + 1. Let h(x) = d*q(x) - 2*g(x). Differentiate h(t) with respect to t.
-6*t
Let j(n) be the third derivative of 1/12*n**4 + 3*n**2 + 0*n**5 + 0*n + 0*n**6 + 0 + 1/70*n**7 + 0*n**3. What is the second derivative of j(g) wrt g?
36*g**2
Let y(c) = -39*c**5 + 5*c**4 - 5*c**2 - 5*c - 2. Let i(b) = b**5 - b**4 + b**2 - b + 1. Let j(w) = -5*i(w) - y(w). What is the second derivative of j(d) wrt d?
680*d**3
Let x(c) = 13*c**2. Let y(o) = o**4 + 38*o**2. Let d(l) = 17*x(l) - 6*y(l). Find the third derivative of d(f) wrt f.
-144*f
What is the third derivative of 2*o + 8*o**4 + 9*o**2 - 25*o**4 - 2*o wrt o?
-408*o
Let w(o) = -12*o - 19. Let l(m) = 6*m + 10. Let q(s) = -9*l(s) - 4*w(s). Find the first derivative of q(d) wrt d.
-6
Let u be 2/4 + (-5)/10. What is the derivative of 0 + 0 + 1 + u*p**2 + 2*p**2 wrt p?
4*p
Let a = 12 - 9. What is the derivative of 4 + 7*s**a + 4 - 4*s**3 wrt s?
9*s**2
Suppose 0 = 5*q - 2*s - 37, -3*s - 10 = -q - 0*s. What is the second derivative of v**5 + q*v**5 - 7*v**5 + 2*v wrt v?
20*v**3
Let r(i) be the third derivative of -5*i**8/168 + 2*i**5/15 + 11*i**2. Find the third derivative of r(h) wrt h.
-600*h**2
Differentiate 10 - 264*z**2 + 264*z**2 + 18*z**3 with respect to z.
54*z**2
Let k(d) = -3*d**3 - 4*d**2 - 4*d + 6. Let s(b) = -5*b**3 - 7*b**2 - 7*b + 12. Let l(q) = 7*k(q) - 4*s(q). Differentiate l(p) wrt p.
-3*p**2
Let v(o) be the second derivative of 1/2*o**3 + 0 - 1/2*o**2 + o. Find the first derivative of v(z) wrt z.
3
Let o(m) = 1. Let c(j) = 9*j - 10. Let a(k) = -c(k) - 2*o(k). Differentiate a(w) wrt w.
-9
Let d(r) = r**2 - r + 1. Let p(y) = 3*y**2 + 2*y - 11. Let c(l) = 2*d(l) + p(l). What is the derivative of c(b) wrt b?
10*b
Let d(k) = 2*k**2 + 5*k - 1. Let i be d(-3). What is the second derivative of 2*c**5 + i*c**5 - 8*c + 3*c**5 wrt c?
140*c**3
Suppose 2*t = 10*t. Let n(b) be the third derivative of t*b + 2*b**2 + 0*b**4 - 1/40*b**6 + 0 - 1/30*b**5 + 0*b**3. Find the third derivative of n(w) wrt w.
-18
Let f be ((-28)/12)/(-7)*1. Let i(k) be the second derivative of -2*k + f*k**3 + 0 + 0*k**2 + 1/6*k**4. What is the second derivative of i(b) wrt b?
4
Suppose 3*w - 12 = 4*b, -3*w = -4*w - 4*b + 20. Let m = w + -5. What is the third derivative of m*p**4 - 2*p**4 - p**2 - 2*p**4 wrt p?
-24*p
Let x(i) = i**2. Let p(a) = 4*a**2 - 1. Let r(y) = p(y) - 5*x(y). Differentiate r(f) wrt f.
-2*f
Suppose 2*u + 4 = 12. Let n be 1*(12/3 - 2). What is the third derivative of d**6 - u*d**n + 0*d**6 + 2*d**2 wrt d?
120*d**3
Let d(k) be the first derivative of -k**6/40 - 5*k**4/24 + 3*k**2/2 - 6. Let i(l) be the second derivative of d(l). What is the second derivative of i(j) wrt j?
-18*j
What is the third derivative of 2 + 40*q - 79*q + 4*q**2 - 70*q**3 + 39*q wrt q?
-420
Let z(j) be the third derivative of j**8/16 - 7*j**5/15 + 18*j**2. Find the third derivative of z(o) wrt o.
1260*o**2
Let o(r) be the second derivative of 0*r**5 - 1/2*r**4 + 0*r**2 + 0*r**3 + 0*r**6 + 0 - 7*r + 4/21*r**7. Find the third derivative of o(d) wrt d.
480*d**2
Let c(p) be the first derivative of -32*p**5/5 + p**4/4 - 2*p**3/3 + 35*p**2/2 - 54. Find the third derivative of c(m) wrt m.
-768*m + 6
What is the third derivative of 36*r**6 - 3 - 3*r**2 + 8 - 5 wrt r?
4320*r**3
Suppose -22 + 6 = 2*p. Let r be 1/3 - p/(-6). Let t(i) = -i. Let d(u) = u - 2. Let q(m) = r*t(m) + d(m). Differentiate q(z) wrt z.
2
Suppose 10 = -2*i, -i = -5*y - 3*i + 5. Let d(x) = 5 + 0 + 0*x - 2*x. Let f(p) = -p + 2. Let a(j) = y*d(j) - 7*f(j). What is the derivative of a(o) wrt o?
1
Let d(v) be the second derivative of -1/42*v**7 + 0 + 3*v + 0*v**2 + 0*v**3 + 0*v**6 + 1/12*v**4 + 0*v**5. Find the third derivative of d(c) wrt c.
-60*c**2
Let x(q) = 3*q**2 + q + 1. Let v be x(-2). Let h = v - 9. What is the first derivative of h*t + 2*t + t + 4 + 0*t wrt t?
5
What is the third derivative of 3 - 3 + 17*t**3 - 355*t**2 + 349*t**2 wrt t?
102
Let a(k) = k - 6. Let u be a(3). Let y be -1 + (-5)/u*3. What is the derivative of 1 - o**y + 2*o**4 - 2*o**4 wrt o?
-4*o**3
Let a(x) be the second derivative of -x**10/7560 - x**7/840 - x**4/12 - 4*x. Let v(n) be the third derivative of a(n). Find the third derivative of v(u) wrt u.
-240*u**2
Let r(w) be the third derivative of 13*w**5/60 - 5*w**4/24 + 8*w**2. What is the second derivative of r(n) wrt n?
26
Let t(l) be the third derivative of -11*l**9/168 + l**5/10 + 17*l**2. Find the third derivative of t(q) wrt q.
-3960*q**3
Let v be (4 + -1)*1 - -1. Let a be ((-24)/(-20))/(v/10). What is the second derivative of 11*n**4 - 13*n**4 + n**2 - n**2 - a*n wrt n?
-24*n**2
Differentiate 2 + 5*s + 1 - 5 - 29 wrt s.
5
Let c = -7 - -9. Find the second derivative of -2*h + h**2 - h**c + 3*h**3 + 0*h**2 wrt h.
18*h
Let w = 3 - 9. Let p(o) = 11*o**3 + 2*o. Let b(l) = -21*l**3 - 4*l. Let f(m) = w*b(m) - 11*p(m). Find the second derivative of f(v) wrt v.
30*v
Let h(f) be the first derivative of -19*f**4/2 - 35*f**3/3 - 19. Find the third derivative of h(p) wrt p.
-228
Let a = -4 + 8. What is the second derivative of -d + 0*d**4 - 3*d + 3*d**a wrt d?
36*d**2
Let t(a) be the third derivative of -a**5/30 - a**4/6 - a**3/6 + a**2. Let w(g) be the first derivative of t(g). Differentiate w(f) with respect to f.
-4
Find the third derivative of 2*w**3 + 0*w**2 - 3*w**4 - 6*w**2 - 2*w**3 wrt w.
-72*w
Let z(r) = r**2 - 16*r - 13. Let q be z(17). Find the third derivative of 8*a**q - 39*a**3 + 2*a**2 + 39*a**3 wrt a.
192*a
Suppose -5*d + 25 = 0, q = -d + 3*d - 16. Let i = 6 + q. Find the third derivative of c**5 + 2*c**5 + 3*c**2 + i*c**2 wrt c.
180*c**2
Let r(u) be the second derivative of -5*u**7/7 + 3*u**4/4 - 12*u. Find the third derivative of r(y) wrt y.
-1800*y**2
Let z be (-6)/(-9) - (-40)/12. Let j = 1 - -2. Differentiate j - 5*v + 5*v - 4 + v**z with respect to v.
4*v**3
Suppose 2*r = -2*n + 2, 3*n + r - 21 = -2*n. Let z be (-36)