g). Differentiate m(x) wrt x.
4*x
Let t(s) be the first derivative of 0*s**3 + 7 - 8*s + 7/5*s**5 + 0*s**4 + 0*s**2. What is the first derivative of t(j) wrt j?
28*j**3
Let g(f) be the third derivative of -f**6/30 + f**4/12 + 7*f**2. Find the second derivative of g(s) wrt s.
-24*s
Let l(g) = -g**2 - 9*g - 5. Let o be l(-8). What is the third derivative of m**2 + 2*m**3 - m**4 - 2*m**o wrt m?
-24*m
Let r(i) be the second derivative of 3*i**5/10 + 3*i**2/2 + 6*i. What is the derivative of r(c) wrt c?
18*c**2
Let r(p) = 3*p - 4. Let o(m) = 0 - 6*m + 7 + 4 - 2. Let a(n) = -6*o(n) - 13*r(n). Differentiate a(i) wrt i.
-3
Suppose 3*c - 1 = 5. Suppose r = c - 0. Differentiate 0*g + g + r - 1 with respect to g.
1
Let u(h) be the third derivative of h**2 + 0*h - 2/3*h**3 + 1/8*h**4 + 0. Find the first derivative of u(l) wrt l.
3
Let g(m) = -m**5 - m + 1. Let w(h) = 14*h**6 + 2*h**5 + 3*h**2 + 2*h - 2. Let l(u) = -2*g(u) - w(u). Find the third derivative of l(z) wrt z.
-1680*z**3
Let b(l) be the third derivative of -l**8/2240 + l**5/40 - l**4/6 - 2*l**2. Let i(p) be the second derivative of b(p). Differentiate i(n) wrt n.
-9*n**2
Suppose 4 = w + w. Find the third derivative of 0*v**2 - 7*v**3 + 5*v**3 + 2*v**w wrt v.
-12
Let o(r) = r**4 - 2*r**2 - 3. Let m(q) be the second derivative of q**6/30 - q**4/12 - 2*q. Let x(y) = -2*m(y) + o(y). What is the derivative of x(a) wrt a?
-4*a**3
Let n(v) = -v + 1. Let b(s) = -3*s**3 - 22*s**2 - 6*s + 6. Let p(h) = -b(h) + 6*n(h). What is the third derivative of p(m) wrt m?
18
Let n(h) be the third derivative of h**8/2240 - h**7/2520 - h**4/8 - h**2. Let m(t) be the second derivative of n(t). Find the third derivative of m(g) wrt g.
18
Let r = 8 + -2. Suppose -r = -6*k + 3*k. Differentiate 1 + 0 - n - k*n + 0 wrt n.
-3
Suppose 3*t = 1 + 5. Differentiate 2 - 4 + 2*u**t + 3 - u**2 with respect to u.
2*u
Let g(r) be the third derivative of -r**5/10 - r**3/2 - 6*r**2. What is the first derivative of g(s) wrt s?
-12*s
Let d(z) be the first derivative of 0*z**4 + 0*z**5 + 5 - 1/3*z**3 - 1/3*z**6 + 0*z + 0*z**2. What is the third derivative of d(m) wrt m?
-120*m**2
Let b(n) = -2*n**4 + 3*n**3 - 7*n**2 - 2*n - 3. Let t(x) = -x**3 + x**2. Let y(c) = b(c) + 3*t(c). What is the second derivative of y(f) wrt f?
-24*f**2 - 8
Suppose -9*a = -4*a - 10. Find the first derivative of 7*b - 1 - a*b + 10 wrt b.
5
Let x = 4 + -6. Let j = 2 - x. What is the first derivative of -4 + 1 + j + 3*k - k wrt k?
2
Differentiate -4*v - 20 + 45 + 4*v - 9*v**3 wrt v.
-27*v**2
Suppose 5*l + 10 = -5*s, 5*s - l = -3*l + 2. Suppose 3*y + y - 18 = -5*x, s*y = -5*x + 14. Find the second derivative of -2*o + o + 2*o + x*o**2 wrt o.
4
Let m(j) be the first derivative of -j**6/60 + j**5/30 - 3*j**2/2 + 5. Let x(h) be the second derivative of m(h). Find the third derivative of x(l) wrt l.
-12
Let b(n) = -n**4 + n + 1. Let o(k) = -14*k**4 - 14*k**2 - 10*k - 10. Let f(m) = -10*b(m) - o(m). What is the third derivative of f(w) wrt w?
576*w
Let q(r) be the third derivative of 0*r**5 - 1/105*r**7 - r**2 + 0*r**3 + 0*r + 1/6*r**4 + 0 + 0*r**6. What is the second derivative of q(a) wrt a?
-24*a**2
Find the third derivative of k**4 + 13*k**3 + 17*k**2 + 19*k**3 - 2*k**3 - 6*k**3 wrt k.
24*k + 144
Suppose 2*l - 4 = l - f, 14 = 5*l + 2*f. Let s(b) be the third derivative of 0 - b**l + 1/12*b**4 + 0*b - 1/6*b**3. Differentiate s(r) with respect to r.
2
Let c(h) be the third derivative of -h**7/14 - h**6/60 - 2*h**4/3 - 3*h**2 - 3*h. Find the second derivative of c(z) wrt z.
-180*z**2 - 12*z
Let x(q) be the first derivative of -q**4/4 - 11*q**2 - 7. What is the second derivative of x(g) wrt g?
-6*g
Let z(g) = g + 1 - 1. Let s be z(2). Find the first derivative of -3*o**2 + s*o**2 - 3 + 2 + 2*o**2 wrt o.
2*o
Let x(w) = 2*w**3 + 3*w**2 - 3*w - 17. Let t(v) = -v**3 - v**2 + v. Let a(n) = -3*t(n) - x(n). Differentiate a(m) with respect to m.
3*m**2
Let q be 5*-5*2/(-25). Differentiate -17 + q*d**3 + 9 + 12 with respect to d.
6*d**2
Let r = 19 + -14. Find the first derivative of 2 + 1 + y**3 + r*y**3 - 2*y**3 wrt y.
12*y**2
Find the first derivative of -4*l**2 + 7*l**2 - 4*l**2 - 18 wrt l.
-2*l
Let h be -1 - 2/((-6)/9). Suppose 0 = -4*y - y + 60. Differentiate -13*c**h - 1 + 2 + y*c**2 wrt c.
-2*c
Suppose 0*t + 6 = -3*t. Let w be (-1)/t - 52/(-8). What is the second derivative of -4*u + w*u - 3*u**3 + 4*u**3 wrt u?
6*u
Let a(p) = p - 5. Let x(c) = -c + 2. Suppose -3*k - 2*v = 1, -2*v + 5 = -3. Let r(h) = k*a(h) - 5*x(h). Differentiate r(z) wrt z.
2
Let q(h) be the third derivative of h**5/4 - h**3/2 - 10*h**2. What is the first derivative of q(u) wrt u?
30*u
What is the third derivative of 32*j**5 + 6*j**2 + 24*j**2 - 5*j**2 wrt j?
1920*j**2
Suppose -l - 2*l + 3 = 2*r, -12 = -2*l + 2*r. Suppose o + 26 = 2*o - 4*i, o = -3*i - 9. What is the first derivative of -o + l - x**3 + 2 wrt x?
-3*x**2
Let b(z) be the first derivative of 46*z**5/5 - 6*z + 22. Differentiate b(q) wrt q.
184*q**3
Let a(g) be the first derivative of -3*g**2/2 + 16*g - 14. Differentiate a(h) wrt h.
-3
Let d be 5/(15/(-6)) + 7. What is the third derivative of -2*l**2 + 7*l**5 - d*l**5 + 4*l**2 wrt l?
120*l**2
Let g(a) = 2*a + 13. Let o be g(-13). Let n(w) = 5*w**2 + 3. Let b(r) = -10*r**2 - 5. Let f(s) = o*n(s) - 6*b(s). What is the derivative of f(t) wrt t?
-10*t
Suppose -3*s - 1 - 8 = 0. Let i(m) = m**2 + 2*m. Let a be i(s). What is the second derivative of 3*k + a*k**2 - 16 + 16 wrt k?
6
Let p(w) = 74*w**5 - 5*w**3 - 3*w**2. Let u(d) = -73*d**5 + 4*d**3 + 4*d**2. Let q(z) = -4*p(z) - 5*u(z). Find the third derivative of q(f) wrt f.
4140*f**2
Find the first derivative of -890 - 11*f**3 + 865 - 6*f**3 wrt f.
-51*f**2
Let f be 3*2/(-42) - (-2)/14. Let a(j) be the second derivative of j**2 + f*j**3 + 1/4*j**4 + 0 - 2*j. What is the first derivative of a(d) wrt d?
6*d
Let w = 8 + -5. What is the first derivative of -w*y + 2*y - 2 - y wrt y?
-2
Let p be ((-2)/(-4))/((-1)/(-6)). Find the second derivative of -5*s + 6 + 5*s**p - 6 wrt s.
30*s
Let p(d) be the first derivative of 2*d**2 + 43*d**4 + 4 - 43*d**4 + d**6. Find the second derivative of p(k) wrt k.
120*k**3
Let d(a) = -15*a**2 + 18. Let t(g) = -g**2 + 1. Let m(k) = -2*d(k) - 6*t(k). What is the first derivative of m(r) wrt r?
72*r
Let b = 6 - 1. Let w(t) = t**3 + 2*t - 7*t - 1 + 5*t**3. Let i(j) = -7*j**3 + 6*j + 1. Let m(v) = b*i(v) + 6*w(v). Find the first derivative of m(r) wrt r.
3*r**2
Let d be (70/(-4))/(-5) - 3. Let x(u) be the first derivative of d*u**4 + 0*u**2 + 2 + 0*u**3 - 2*u. What is the first derivative of x(y) wrt y?
6*y**2
What is the third derivative of 11*k**2 + 13*k**2 + 4*k**5 + 3*k**5 - 8*k**2 wrt k?
420*k**2
Let p(v) be the second derivative of v**8/840 + v**5/60 - v**3/6 - 3*v. Let d(a) be the second derivative of p(a). Find the second derivative of d(j) wrt j.
24*j**2
Differentiate 726*n**2 - 726*n**2 + 29 + 28*n**3 with respect to n.
84*n**2
Differentiate -1 - 1 - 12*g**2 + 5 - 8*g**2 wrt g.
-40*g
Let z(x) = -x**3 - 4*x + 7. Let s = -6 + 10. Let w(n) = -11 + 1 - 2*n + 9 + 3*n. Let j(k) = s*w(k) + z(k). What is the derivative of j(c) wrt c?
-3*c**2
Let j(z) = 2*z**2 - 11. Let v(g) = 3*g**2 - 12. Let r(d) = -d - 7. Let i be r(0). Let b(k) = i*j(k) + 6*v(k). What is the derivative of b(p) wrt p?
8*p
What is the third derivative of r**6 + 48*r**5 - 48*r**5 + 9*r**2 wrt r?
120*r**3
What is the third derivative of -4*o**2 + 6*o**4 - 3*o**4 + 2*o**4 - o**2 wrt o?
120*o
Let n be 45/12 + 6/(-8). Differentiate 2*y - 2*y + 3*y**4 - n with respect to y.
12*y**3
Suppose 0*q = p + 2*q, 5*q + 27 = 2*p. Find the third derivative of 0*b**3 - 11*b**3 + p*b**3 + b**2 wrt b.
-30
Let l(c) be the second derivative of -1/6*c**4 + 0*c**3 + 0*c**6 + 0*c**2 + 2*c + 0 - 1/42*c**7 + 0*c**5. What is the third derivative of l(n) wrt n?
-60*n**2
Let g(t) = -t + 7. Let a be 3/(-12) - (-21)/4. Let i be g(a). Find the third derivative of r**4 + 0*r**2 - 2*r**2 - r**2 + 7*r**i wrt r.
24*r
Let k(f) = -4 + 4 + 2*f**2 - 2*f - 4*f**2 - f**3. Let h(u) = u**2 + 3*u. Let q(z) = 2*h(z) + 3*k(z). What is the third derivative of q(o) wrt o?
-18
Let d(o) = o**3 + 9*o**2 + 6*o - 11. Let s be d(-8). What is the third derivative of -3*n**5 + 4 - s*n**2 + 4*n**2 - 4 wrt n?
-