he third derivative of n**7/30 + 2*n**3/3 + 6*n**2. Find the first derivative of z(l) wrt l.
28*l**3
Let k(a) = a**4 + 6*a**3 - 6*a**2 + 4*a - 27. Let y(n) = n**4 + 5*n**3 - 5*n**2 + 4*n - 27. Let f(m) = -5*k(m) + 6*y(m). Differentiate f(d) with respect to d.
4*d**3 + 4
Let u(w) = 6*w**3 + w - 18. Let j(o) = -o**3 - o. Let b(r) = -j(r) - u(r). Find the first derivative of b(x) wrt x.
-15*x**2
Let s(r) = 14*r**3 - 31*r. Let z(x) = 28*x**3 - 62*x. Let v(p) = -11*s(p) + 6*z(p). What is the second derivative of v(w) wrt w?
84*w
Let q(o) be the second derivative of -3*o**5/10 + o**4/3 + 3*o. Find the third derivative of q(i) wrt i.
-36
Let n(s) = -s - 1. Let g(m) = 15*m**3 - m**2 - 6*m - 6. Let j(r) = -g(r) + 6*n(r). Find the third derivative of j(a) wrt a.
-90
Let g(y) = 32*y**3 + 6*y**2 - 6*y + 14. Let w(c) = 32*c**3 + 5*c**2 - 5*c + 14. Let f(z) = 5*g(z) - 6*w(z). Differentiate f(i) with respect to i.
-96*i**2
Let w be 50/20 + 1/(-2). Find the first derivative of 0*k**3 + k**3 + w*k**3 + 7*k**3 + 10 wrt k.
30*k**2
Let a(q) be the third derivative of 2*q**4/3 + q**3/6 - 19*q**2. What is the first derivative of a(k) wrt k?
16
Let h(i) be the first derivative of -28*i**3/3 - 19*i**2/2 - 3. What is the second derivative of h(u) wrt u?
-56
Let t(f) = -69*f**4 + 5*f**3 + 5*f - 12. Let o(n) = n**3 + n + 1. Let z(i) = 5*o(i) - t(i). What is the derivative of z(w) wrt w?
276*w**3
Suppose 0 = 4*v - 3*m + 5*m - 20, -2*v - 3*m + 18 = 0. What is the first derivative of -3 + 7 - 7*j**v + 1 wrt j?
-21*j**2
What is the second derivative of -12*v + 36*v**3 - 49*v**3 - 4*v wrt v?
-78*v
Find the second derivative of 0*a**5 - a**5 + 6*a + 3*a**5 - 5*a**5 wrt a.
-60*a**3
Let b(l) = l**2 - l - 3. Let g be b(-3). Suppose -4*o + 7 = -g. What is the derivative of 4*z**4 + 3 - o*z**4 - 2*z**4 wrt z?
-8*z**3
Find the first derivative of 44 + 4*o**3 - 50 + 21*o**3 wrt o.
75*o**2
Let c = -6 + 4. Let i = 6 - c. Find the third derivative of 6*r**5 + 0*r**2 - 2*r**2 - i*r**5 wrt r.
-120*r**2
Let z(o) = 3*o**5 - 4*o**4 - 8*o**2 + 4. Let c(d) = -3*d**5 + 5*d**4 + 9*d**2 - 5. Let g(v) = -4*c(v) - 5*z(v). Find the third derivative of g(n) wrt n.
-180*n**2
Find the third derivative of 16 - 8*v**4 - 10*v**2 - 16 wrt v.
-192*v
What is the first derivative of -284*k**2 - 23 + 284*k**2 - 38*k**3 wrt k?
-114*k**2
Suppose 2*z = 3*z. Let s(r) be the second derivative of -1/12*r**4 + 0*r**3 + r + z + r**2. Find the first derivative of s(j) wrt j.
-2*j
What is the second derivative of -2*x + 3*x**4 - 6*x - 3*x**4 - 8*x**4 wrt x?
-96*x**2
Suppose -5*o + 6 + 4 = 0. Suppose o*i = 6*i - 4*g - 20, 0 = 4*i - 3*g - 17. What is the third derivative of 2*m**5 - 2*m**2 + m**i - m**5 wrt m?
60*m**2
Suppose -17 = 4*m - 5*s, -2*s + 4*s = 10. What is the third derivative of q**m - 3*q**3 + q**2 - q**2 wrt q?
-18
Let y(l) be the first derivative of 3*l**6/2 - 3*l**2 + 7. What is the second derivative of y(k) wrt k?
180*k**3
Differentiate 850*m**3 - 19 - 1 - 839*m**3 wrt m.
33*m**2
Let p(u) = -62*u**3 + 74*u**2 - 8*u - 8. Let c(o) = -41*o**3 + 49*o**2 - 5*o - 5. Let d(j) = 8*c(j) - 5*p(j). Find the third derivative of d(h) wrt h.
-108
Suppose -5*h - 7 = -3*o, -h + 2*o - 8 = -1. Suppose -3*p = -2 - h. What is the derivative of -2*n + 2*n - p - 2*n wrt n?
-2
What is the second derivative of 0*y**4 + 0*y**4 - 18*y - 26*y**5 + 38*y wrt y?
-520*y**3
Let y(o) be the first derivative of -5 + 2*o**5 + 8*o - 6*o - 4*o**5 + o**5. What is the derivative of y(c) wrt c?
-20*c**3
Let u(c) = 0 + 0*c**2 + 2*c + c**2 - 1. Let y be u(1). Differentiate -4*b + b**y - 3*b**2 + 2 + 4*b with respect to b.
-4*b
Let r = -5 - -13. What is the derivative of -l - 7 + r - 5*l - 6 wrt l?
-6
Suppose -3*k - 17 = 7. Let a = -6 - k. Find the first derivative of -3*s**a + 0*s**2 + 6*s**2 - 2 wrt s.
6*s
Let n(c) = 5*c - 6. Suppose -7*s = -9*s - 4. Let m(i) = -1. Let w(x) = s*m(x) + n(x). Find the first derivative of w(j) wrt j.
5
Let d(i) be the first derivative of -i**6/24 + i**4/24 + 3*i**2 + 5. Let y(b) be the second derivative of d(b). What is the second derivative of y(r) wrt r?
-30*r
Let i(f) be the second derivative of f**6/120 + f**4/6 + f**2/2 - 5*f. Let l(x) be the first derivative of i(x). What is the second derivative of l(v) wrt v?
6*v
Let j(o) be the third derivative of -o**5/60 - o**4/8 + 6*o**2. What is the second derivative of j(g) wrt g?
-2
Let c = -9 - -13. What is the second derivative of 0*p**c - 3*p**3 - p**4 + 3*p**3 + 3*p wrt p?
-12*p**2
Let c(o) be the first derivative of o**4/2 + 7*o**2/2 - 5*o - 2. Let m(h) be the first derivative of c(h). Find the first derivative of m(j) wrt j.
12*j
Suppose -2*w = h - 3*w + 3, -4*h + 13 = w. Suppose 0*z - z + h = 0. Differentiate z + 3*n**4 - 3 - n**4 wrt n.
8*n**3
Let g(h) be the third derivative of 4*h**7/35 + 3*h**4/4 + 27*h**2. What is the second derivative of g(z) wrt z?
288*z**2
Let y(o) be the second derivative of 0*o**2 + 0*o**4 + 0 - 1/6*o**3 + 0*o**6 + 2*o - 1/21*o**7 + 0*o**5. Find the second derivative of y(i) wrt i.
-40*i**3
What is the first derivative of 2*f**3 + 14 + 0*f**3 - 8 + 12 - 46*f**2 wrt f?
6*f**2 - 92*f
Let b = 9 + -4. Find the second derivative of -y**5 + y**b - 3*y**5 + 2*y + y**5 wrt y.
-40*y**3
What is the third derivative of 3*s**4 - 3*s**4 - 11*s**2 + 2*s**6 + 11*s**6 wrt s?
1560*s**3
Let b(q) = -20*q**3. Let s be b(-1). Suppose -3*r + m + 1 + 3 = 0, -5*m + s = 5*r. What is the second derivative of -d**2 - 1 - 1 + r + d wrt d?
-2
Let j(b) = -b - 1. Let l(x) = x**2 - 2. Let s be 4*(0 + 1)/1. Let k be (s/6)/(2/(-3)). Let o(q) = k*l(q) + 2*j(q). Find the second derivative of o(v) wrt v.
-2
Let p(m) be the third derivative of 0*m**7 + 0*m**3 + 0*m**4 - 1/60*m**5 - 1/168*m**8 - 2*m**2 + 0*m + 0*m**6 + 0. What is the third derivative of p(c) wrt c?
-120*c**2
Let b(a) be the second derivative of -1/3*a**3 + 0*a**5 + 0*a**4 + 0*a**2 - 7/30*a**6 + 6*a + 0. Find the second derivative of b(y) wrt y.
-84*y**2
Let k(d) = -d**3 - 5*d**2 + 4. Suppose 5*f + 1 + 4 = -5*o, 4*o + 24 = f. Let q be k(o). What is the derivative of 3*n**q - 6*n**4 + 2*n**3 - 2*n**3 - 3 wrt n?
-12*n**3
Suppose 13*h - 4 = 8*h - 3*f, -3*h + 14 = -4*f. Let i(w) be the first derivative of 0*w**h - w + 4/3*w**3 + 2. What is the first derivative of i(a) wrt a?
8*a
Let q(y) be the second derivative of -17*y**3/6 - 13*y**2/2 - 23*y. Differentiate q(g) wrt g.
-17
Find the third derivative of -x**2 + 9*x**6 + 10*x**6 - 23*x**2 wrt x.
2280*x**3
What is the second derivative of 2*n**5 - 10*n + 2*n**5 - 2*n**5 wrt n?
40*n**3
What is the first derivative of 5*b**2 - b**2 + 2 + b**2 + 0*b**2 wrt b?
10*b
Differentiate 5*q + 4*q - 20*q + 20 with respect to q.
-11
Let u(q) be the second derivative of 1/10*q**6 + q**2 + 0*q**4 + 0 + 0*q**5 + 0*q**3 - q. Differentiate u(c) with respect to c.
12*c**3
Find the third derivative of 177*b**2 - 3*b**5 + 3*b**5 - 196*b**2 + 51*b**6 wrt b.
6120*b**3
Let x be 28/16 - 1/(-4). What is the second derivative of 3*y**4 - y + 4*y - x*y**4 + 0*y wrt y?
12*y**2
Let h(j) = 7*j**3 - 3*j**2 + 14*j + 3. Let x(o) = 13*o**3 - 7*o**2 + 29*o + 7. Let n(w) = -7*h(w) + 3*x(w). Find the second derivative of n(l) wrt l.
-60*l
What is the third derivative of -5*l**6 + 0*l**6 - 4*l**6 + 9*l**2 + 3*l**2 wrt l?
-1080*l**3
Let v(m) be the first derivative of -2*m**5/5 + 13*m**2/2 + 11. What is the second derivative of v(k) wrt k?
-24*k**2
Let s(i) be the third derivative of -2*i**8/21 + 9*i**5/20 + 22*i**2. What is the third derivative of s(x) wrt x?
-1920*x**2
What is the second derivative of d**4 - 3*d + 5*d + 5*d + 3*d**4 wrt d?
48*d**2
Let r be (-28)/(-6) - (-1)/3. Let g be (-16)/(-5) + 14/(-70). What is the third derivative of -r*q**2 - q**3 - 3 + g + 2*q**2 wrt q?
-6
Let t(u) = 11*u - 10. Let g be 1 + (3 - 0) + 2. Let m(z) = -10*z + 9. Let y(l) = g*t(l) + 7*m(l). Find the first derivative of y(a) wrt a.
-4
Let t(g) = -17*g**3. Let k(r) = 52*r**3 - 1. Let h(d) = -3*k(d) - 8*t(d). Find the first derivative of h(x) wrt x.
-60*x**2
Suppose -17 = -0*s - 4*s + 5*x, 5*s - 34 = 2*x. Suppose -n + 4*o + s = -14, -5*n - 15 = 5*o. Differentiate r**2 - 5 + 6 + 2 - 3*r**n with respect to r.
-4*r
Let n(k) = 95*k + 134. Let s(d) = 48*d + 66. Let p(z) = 3*n(z) - 5*s(z). What is the derivative of p