third derivative of r*a**4 + 1/120*a**6 + 0 + 0*a + a**2 - 1/3*a**3 + 0*a**5. Differentiate v(y) with respect to y.
3*y**2
Let x(l) = 125*l**5 + 70*l. Let u(g) = 9*g**5 + 5*g. Let r(a) = -55*u(a) + 4*x(a). What is the second derivative of r(d) wrt d?
100*d**3
Suppose l + 7 = 3*n - 2, -5*n + l + 13 = 0. Find the third derivative of -2*w**2 - 2*w**6 + w**2 - n*w**6 + w**6 wrt w.
-360*w**3
Let m(t) = -3*t - 3. Let q be m(-2). Suppose l - 11 = -5*n + q*n, 4*l - 14 = 2*n. Find the first derivative of 3 + 2*f**2 + 3 - l wrt f.
4*f
Let w(g) = 2*g**2 + 3*g + 6. Let n(m) = m**2 + 4*m + 6. Let i = 14 + -11. Let q(l) = i*n(l) - 4*w(l). Differentiate q(k) wrt k.
-10*k
Let f(b) be the third derivative of b**8/20160 - b**6/360 - b**5/20 + 2*b**2. Let y(g) be the third derivative of f(g). Differentiate y(u) wrt u.
2*u
Let p(g) be the first derivative of 2*g**2 + 0*g + 4 + 4/3*g**3. Find the second derivative of p(z) wrt z.
8
Suppose 0 = 4*b + 4*t - 88, -b - 4*t = -11 - 14. Find the third derivative of b*n**3 - 21*n**3 - n**4 + 2*n**2 wrt n.
-24*n
Let r(a) be the third derivative of a**6/24 + a**3/2 + 5*a**2. What is the first derivative of r(d) wrt d?
15*d**2
Let l(y) be the third derivative of -11*y**6/120 - 11*y**5/60 - 2*y**2. Find the third derivative of l(q) wrt q.
-66
What is the first derivative of -106 + 105*o**4 + 114 - 34*o**4 wrt o?
284*o**3
Let p(h) be the first derivative of -h**6/360 + h**4/24 + h**3 - 2. Let l(y) be the third derivative of p(y). What is the first derivative of l(v) wrt v?
-2*v
Let o(u) = -u**3 + 6*u**2 - 6*u - 5. Let t be o(5). Let x be (t + -2)*3/(-9). Find the second derivative of 2*m**4 + 3*m + 3*m - x*m wrt m.
24*m**2
Find the second derivative of -2*d + d + 5*d**2 - 4*d wrt d.
10
Let q(i) = -i**2 + i - 2. Let w(k) = 42*k**2 + 20*k + 12. Let b(u) = -6*q(u) - w(u). What is the second derivative of b(d) wrt d?
-72
Let i(v) = 74*v**3 + 11*v**2 + 44*v - 11. Let d(t) = 15*t**3 + 2*t**2 + 9*t - 2. Let h(z) = 11*d(z) - 2*i(z). What is the second derivative of h(j) wrt j?
102*j
Suppose 1 = 2*s + m, 2*s = 4*s - 4*m + 4. What is the third derivative of -3*q**2 + 2*q**2 + 2*q**2 + q**4 + s*q**2 wrt q?
24*q
Let r be (-5)/1*40/(-50). Let b(m) be the second derivative of 0 - 1/3*m**3 + 3/2*m**2 - r*m. What is the derivative of b(a) wrt a?
-2
Let i(v) = -6*v**4 - 7*v**3 + 52*v**2. Let f(k) = -4*k**4 - 5*k**3 + 35*k**2. Let w(p) = -7*f(p) + 5*i(p). Find the third derivative of w(q) wrt q.
-48*q
What is the derivative of -8 - 12 - 25*x**2 - 2 wrt x?
-50*x
Let t(b) be the first derivative of -b**5/60 - b**4/12 - b**3 + 1. Let m(v) be the third derivative of t(v). What is the derivative of m(c) wrt c?
-2
Let g(p) = -12*p**4 + 5*p**3 + p**2 + 5*p + 5. Let y(u) = -6*u**4 + 3*u**3 + 3*u + 3. Let b(a) = -3*g(a) + 5*y(a). What is the third derivative of b(d) wrt d?
144*d
Let o(t) = -15*t**5 + 11*t**3 + 89*t**2 - 11. Let c(l) = -5*l**5 + 4*l**3 + 30*l**2 - 4. Let k(f) = 11*c(f) - 4*o(f). Find the third derivative of k(s) wrt s.
300*s**2
Let j(z) = -3*z + 21. Let h be j(6). Let y(c) be the first derivative of -4*c - 1/3*c**3 - h + 0*c**2. Find the first derivative of y(q) wrt q.
-2*q
Let y(t) = -4*t - 15. Let l(w) = -4*w - 15. Let i(r) = -4*l(r) + 3*y(r). Differentiate i(p) with respect to p.
4
Find the second derivative of 2*m + 8*m + 45*m**3 - 33*m**3 wrt m.
72*m
Let t(y) be the third derivative of 0*y**3 - 1/60*y**5 - 1/105*y**7 + 0*y**6 + 0*y**4 + y**2 + 0 + 0*y. Find the third derivative of t(x) wrt x.
-48*x
Let x(f) be the first derivative of -f**5/20 + f**4/6 + 3*f - 2. Let o(c) be the first derivative of x(c). What is the third derivative of o(r) wrt r?
-6
Let b(r) = r**2 + 5*r - 2. Let z be b(-6). Let w = -1 + z. Find the second derivative of 2*t**4 - 2*t - w*t**4 + 3*t wrt t.
-12*t**2
Let k = 23 - 45/2. Let w(p) be the first derivative of 1 + k*p**2 - 2*p. Differentiate w(v) wrt v.
1
Suppose -6 - 4 = -5*c. Suppose 2*s = -c*s + 12. Find the third derivative of -7*w**2 + w**3 - 2*w**s + 5*w**2 wrt w.
-6
Let u be (-1 - 5)/(-2) - 0. What is the second derivative of 5*j**3 + 0*j - u*j - j wrt j?
30*j
Let y(j) = -9*j**2 + 24*j. Let u(p) = 6*p**2 - 16*p. Let z(x) = 7*u(x) + 5*y(x). What is the second derivative of z(m) wrt m?
-6
Let a(j) be the first derivative of 11*j**5/5 - 9*j**2/2 + 1. What is the second derivative of a(w) wrt w?
132*w**2
Let v(c) = c - 2 - 2 - 4*c + 2*c. Let r be v(-6). Find the first derivative of 6 - 4 + r*d**3 + 0 wrt d.
6*d**2
Let w(r) be the first derivative of -13*r**5/5 + 6*r**2 + 12. What is the second derivative of w(s) wrt s?
-156*s**2
Let c(v) = -v + 2. Let t be c(5). Let g be (t/2)/(6/(-8)). Find the first derivative of -g*z + 3*z - 2*z - 2 wrt z.
-1
Let z be (-28)/(-8) + -2 + -1. Let v(o) be the first derivative of 0*o**3 + 0*o + z*o**2 + 2 + 1/2*o**4. What is the second derivative of v(a) wrt a?
12*a
Let r(k) = k**4 + k**2 + k - 1. Let n(w) = 20*w**4 + 7*w**2 + 6*w - 6. Let c(d) = n(d) - 6*r(d). Find the third derivative of c(t) wrt t.
336*t
Suppose -3 = -c, 0*x - 2*x + 16 = 4*c. Find the third derivative of -8*z**x - 47*z - 5*z**4 + 47*z wrt z.
-120*z
Suppose -i = -d, 2*d - d - 4 = -i. Let l(r) = -r**3 - 5*r**2 - 3*r + 4. Let k be l(-4). Find the second derivative of f**2 + f**i - f + k*f**2 wrt f.
4
Let o(x) be the second derivative of -2*x**6 + 13*x**3/2 - 5*x + 6. What is the second derivative of o(h) wrt h?
-720*h**2
Let o(g) be the third derivative of g**8/2240 + g**6/720 - g**4/8 + 2*g**2. Let x(q) be the second derivative of o(q). Find the second derivative of x(p) wrt p.
18*p
Differentiate -2*m**4 - m**4 - 25*m + 10 + 29*m + 12 with respect to m.
-12*m**3 + 4
Let z = -5 + 5. Let p = 5 - z. What is the second derivative of -c + 0*c**3 - c + c**3 + p*c wrt c?
6*c
Let i = 14 - 6. What is the second derivative of c**3 + 8*c**3 - c - i*c**3 - c wrt c?
6*c
Let s(t) = -181*t**3 + 4*t**2 - 11*t + 8. Let a(n) = 61*n**3 - n**2 + 4*n - 3. Let b(v) = 11*a(v) + 4*s(v). What is the third derivative of b(q) wrt q?
-318
Let k = -51 + 54. Let u(m) be the first derivative of 0*m**2 + m + 1 + 0*m**k + 3/4*m**4. Differentiate u(h) with respect to h.
9*h**2
Let m = 16 - 13. Let s(t) be the second derivative of 1/6*t**m + 0 - 2*t - 1/2*t**2. What is the first derivative of s(d) wrt d?
1
Let z(a) = 5*a**3 + 3*a**2 - 8*a + 3. Let g(j) = 11*j**3 + 5*j**2 - 17*j + 5. Let u(r) = 3*g(r) - 5*z(r). What is the second derivative of u(w) wrt w?
48*w
Let x(r) be the first derivative of r**5/5 + r**3 + 5. What is the third derivative of x(g) wrt g?
24*g
Let m(z) be the third derivative of -z**4/8 - z**3/3 + 12*z**2. Differentiate m(u) wrt u.
-3
Find the third derivative of 12*j**2 - 2*j**2 + 2*j**5 - 7*j**5 wrt j.
-300*j**2
Let b(g) be the first derivative of 17*g**5/5 + 13*g**2 + 5. Find the second derivative of b(j) wrt j.
204*j**2
What is the second derivative of 3 - 28*u**3 + 31*u**3 + 39*u**3 + 18*u**3 + 3*u wrt u?
360*u
Let g(k) = -6*k**4 - 7*k**3 - 7*k**2 - 7*k - 25. Let w(c) = -6*c**4 - 6*c**3 - 6*c**2 - 6*c - 25. Let h(n) = -6*g(n) + 7*w(n). Differentiate h(p) wrt p.
-24*p**3
What is the second derivative of 6*t**4 + 0*t - t - 7*t wrt t?
72*t**2
Let z(o) = -5*o**2 + o + 13. Let x(l) = l**2 - 3. Let q(j) = -26*x(j) - 6*z(j). What is the second derivative of q(n) wrt n?
8
Let j(d) = -7*d**5 - 6*d**3 - 6*d**2 + 2*d. Let g(f) = -f**5 + f**3 + f**2 - f. Let n(m) = -6*g(m) - j(m). What is the second derivative of n(y) wrt y?
260*y**3
Let m(v) = v**2 - 3*v - 1. Let u be m(4). What is the third derivative of -5*i**2 + 10*i**2 + 4*i**6 - i**2 - u*i**6 wrt i?
120*i**3
Let k(v) be the second derivative of 3*v**6/10 + 25*v**4/12 - 6*v. What is the third derivative of k(j) wrt j?
216*j
What is the third derivative of 0*p**6 + 4*p**4 - 3*p**6 - 3*p**2 - 4*p**4 wrt p?
-360*p**3
Let f(r) = 6*r - 6. Let v = -6 + 5. Let h(x) = 1. Let u(y) = v*f(y) - 3*h(y). What is the derivative of u(p) wrt p?
-6
Let j = 3 + -3. Suppose -5*v - 6 = -5*p - 3*v, 2*p - 6 = 2*v. What is the second derivative of n + p + j + n**2 wrt n?
2
Let q(l) = -5*l**3 + 3*l**2 + 7*l. Let n(x) = 3*x**3 - 2*x**2 - 3*x. Let p(z) = -7*n(z) - 3*q(z). Find the third derivative of p(m) wrt m.
-36
Let d(a) be the second derivative of -25*a**8/56 - 31*a**4/12 + 12*a. Find the thir