f). Find the third derivative of g(k) wrt k.
2100*k**2
Let d(q) = -q**2 - q. Let z(c) = 2*c**2. Let v(i) = -6*d(i) - 2*z(i). Find the second derivative of v(x) wrt x.
4
Let p(n) = n + 1. Let t = -1 - -3. Let g = t - 4. Let k(m) = -1. Let r(q) = g*p(q) - 4*k(q). What is the first derivative of r(j) wrt j?
-2
Find the third derivative of -6*z**3 + 7*z**2 + 4*z**3 + 2*z**3 - z**6 wrt z.
-120*z**3
Let m(x) = x**3 - 3*x. Let t(c) = -1 - 8*c + 4*c + 4*c**3 - 4*c. Let n(h) = -8*m(h) + 3*t(h). Differentiate n(b) with respect to b.
12*b**2
Let u(c) be the third derivative of 0*c - 1/6*c**3 + 0 + 1/70*c**7 + 0*c**4 + 0*c**6 + 0*c**5 + c**2. What is the first derivative of u(i) wrt i?
12*i**3
Let b(t) = 10*t**5 + 6*t**4 - 6*t**2 - 7*t. Let y(u) = -u**4 + u**2. Let h(g) = -b(g) - 6*y(g). What is the second derivative of h(p) wrt p?
-200*p**3
Let z(x) = -8*x**3 - 25*x**2 + 13*x - 13. Let n(r) = 2*r**3 + 6*r**2 - 3*r + 3. Let o(f) = -26*n(f) - 6*z(f). Find the third derivative of o(s) wrt s.
-24
Let u(k) = k**3 - 3*k**2 + 5*k - 2. Let r be u(3). Suppose -5*j + r + 2 = 0. What is the first derivative of 5*x**4 - 3 + 0*x**4 - j*x**4 wrt x?
8*x**3
Let y(b) be the first derivative of 1 + 0*b**3 + 2*b**2 + 1/3*b**6 + 0*b**4 + 0*b**5 + 0*b. What is the second derivative of y(m) wrt m?
40*m**3
Find the first derivative of 8 + 2*g**4 + 3*g**4 + 7*g**4 wrt g.
48*g**3
Let y(t) be the first derivative of -7*t + 7/2*t**2 + 6. What is the first derivative of y(v) wrt v?
7
Let r(c) = -8*c**3 + c**2. Let u = -1 + -5. Let v(y) = -y**3. Let o(z) = u*v(z) + r(z). Find the third derivative of o(w) wrt w.
-12
Suppose 0 = -5*x + 2*p + 7 - 1, 2*p = 4*x - 4. What is the third derivative of 0*s**3 + 3*s**x - s**3 - 4*s**2 wrt s?
-6
Suppose 0 = -0*s + 4*s - 16. Let o = 6 - s. Find the third derivative of 2*m**o + 2*m**5 + 2*m**5 - 3*m**5 wrt m.
60*m**2
Let o(y) = y**3 - 3*y**2 - 4*y + 2. Let p be o(4). Suppose -6*u = 72 - 96. What is the third derivative of -n**u - 5*n**2 - p*n**4 + 4*n**4 + 2*n**2 wrt n?
24*n
Let t(r) = -r - 1. Let j be 1*(-2 + 1)/(-1). Let n(k) = 10*k**2 + 2*k - 7. Let w(i) = j*n(i) + 2*t(i). Differentiate w(a) wrt a.
20*a
Let w(r) be the third derivative of 4*r**7/105 - 2*r**3 - 3*r**2. Differentiate w(v) wrt v.
32*v**3
Let w(v) be the first derivative of -v**4 + 0*v**3 + 0*v - 3 + 1/2*v**2. What is the second derivative of w(b) wrt b?
-24*b
Let b(u) = u**2 + 2*u - 3. Let t be b(-3). Find the second derivative of 0*h + 4*h**2 - 3*h**2 + t*h + 2*h wrt h.
2
Let b(d) = -d + 7. Let u be b(5). Suppose 4*h + 15 = o - 1, -4*o + 5*h + 20 = 0. Find the third derivative of -y**4 + o*y**2 - 2*y**4 + y**2 + u*y**2 wrt y.
-72*y
Let o = -2 + 2. Let q(z) be the first derivative of 0*z**4 + 0*z**2 + 1 + o*z + 1/3*z**3 + 0*z**5 - 1/6*z**6. Find the third derivative of q(w) wrt w.
-60*w**2
Suppose 3 = x - 2*b, b = -3*x + 3 + 6. Let y(t) = t**2 + 4*t + 4. Let j be y(-3). Differentiate -9*v + 9*v - 3*v**3 + 2*v**x - j wrt v.
-3*v**2
Let s(r) be the third derivative of 0 - 1/3*r**3 + 2*r**2 - 1/210*r**7 + 0*r + 0*r**5 + 0*r**4 + 0*r**6. What is the derivative of s(m) wrt m?
-4*m**3
Let j(p) = 20*p**4 + 5*p**3 - 19*p**2 + 5. Let t(l) = l**4 - l**3 - 1. Let s(h) = j(h) + 5*t(h). What is the third derivative of s(x) wrt x?
600*x
Let w(y) be the third derivative of -y**6/24 + 3*y**5/20 + 11*y**2. Find the third derivative of w(v) wrt v.
-30
Let f(o) = -1. Let m(w) = 31*w**2 + 14*w + 4. Let i(l) = 6*f(l) + m(l). Find the second derivative of i(j) wrt j.
62
Let t(f) = 5*f**3 + 1. Let g be t(1). What is the second derivative of 4*r + 4*r + 9*r**4 - g*r wrt r?
108*r**2
Let l(o) = 105*o**4 - 11*o**3 - 5*o + 11. Let p(n) = 35*n**4 - 4*n**3 - 2*n + 4. Let s(j) = -4*l(j) + 11*p(j). What is the second derivative of s(x) wrt x?
-420*x**2
Let j(z) be the second derivative of -z**6/15 - z**3 - 8*z. What is the second derivative of j(o) wrt o?
-24*o**2
Let l(w) be the first derivative of -19*w**6/6 + 3*w**2/2 - 6. What is the second derivative of l(k) wrt k?
-380*k**3
Let g(p) = -15*p + 45. Let z(f) = 13*f - 44. Let a(j) = 3*g(j) + 4*z(j). Differentiate a(l) wrt l.
7
Find the third derivative of -2*p**2 + p**2 - 512*p**6 + 522*p**6 wrt p.
1200*p**3
Let m(j) = 301*j + 121. Let a(l) = 60*l + 24. Let u(t) = -11*a(t) + 2*m(t). Differentiate u(b) with respect to b.
-58
Suppose -8 = -4*p + 2*p. Let s = 18 + -16. Find the third derivative of -2*n**s - 2*n**4 - 3*n**4 + 6*n**p wrt n.
24*n
Let p(m) = m**3 + m**2 - 1. Let f(i) = -3*i**2 + 2. Let n(d) = f(d) + 2*p(d). What is the third derivative of n(o) wrt o?
12
Suppose -q = -4*g + 18, -5*q - 15 = -0*g - 5*g. Differentiate 6 - 36*j**q + 36*j**2 - 2*j**3 with respect to j.
-6*j**2
Let q = 10 - 5. Suppose 3*v + 6 = h + 7*v, 0 = -5*v + q. Find the second derivative of -h - 2*i**5 - i + 2 wrt i.
-40*i**3
Let s(q) = 25*q**4 + 35*q**2 + 3*q - 3. Let j(l) = 76*l**4 + 105*l**2 + 8*l - 8. Let g(d) = -3*j(d) + 8*s(d). Find the third derivative of g(n) wrt n.
-672*n
Let w(h) be the third derivative of -3*h**7/35 + h**4/2 - 6*h**2. What is the second derivative of w(i) wrt i?
-216*i**2
Let l(s) be the second derivative of -3/2*s**2 + 0 + 1/6*s**4 + 0*s**3 + 4*s. Find the first derivative of l(c) wrt c.
4*c
Let t(f) = 24*f**2 - 9*f - 12. Let q(o) be the second derivative of o**4/2 - o**3/3 - 3*o**2/2 - 5*o. Let x(b) = -9*q(b) + 2*t(b). Differentiate x(p) wrt p.
-12*p
Let v(u) = u**2 - u - 1. Let m(i) = -22*i**2 - 3*i + 38. Let t(k) = m(k) - 3*v(k). What is the first derivative of t(c) wrt c?
-50*c
Suppose -4*g = i - 2*i + 12, 4*i - 10 = -3*g. Find the third derivative of 7*c**i - 3*c**2 - c**4 + 2*c**4 - 5*c**4 wrt c.
72*c
Let h(l) = -l**3 + 3*l + 2. Let a(p) be the second derivative of -p**3/3 - p**2/2 + 4*p. Let d(b) = 6*a(b) + 4*h(b). What is the derivative of d(m) wrt m?
-12*m**2
Let c(b) = -6*b + 11. Let r(v) = -v**2 - 7*v + 11. Let n(o) = -7*c(o) + 6*r(o). Differentiate n(h) with respect to h.
-12*h
Let m(q) = -q + 9. Let z be m(6). Find the first derivative of -35*x + 35*x - z*x**2 + 2 - 6 wrt x.
-6*x
Let b(k) be the first derivative of -3*k**3 + 0*k + 7/6*k**6 + 0*k**2 + 0*k**5 - 1 + 0*k**4. What is the third derivative of b(q) wrt q?
420*q**2
Let u(y) be the first derivative of y**3/3 - 13*y**2/2 - 5. Find the second derivative of u(i) wrt i.
2
Let h(p) be the second derivative of 0*p**3 + 1/2*p**2 - 1/15*p**6 + 2*p + 0*p**5 + 0 + 0*p**4. Differentiate h(m) wrt m.
-8*m**3
Let q(s) = s**2 + s + 3. Let b be q(0). What is the derivative of m**4 - b*m**4 - 3 - 2*m + 2*m wrt m?
-8*m**3
Let l(g) be the second derivative of -g**6/5 + g**4/6 + 2*g. Find the third derivative of l(o) wrt o.
-144*o
Let z(v) be the second derivative of -7*v**5/20 + v**3/3 + 18*v. Find the second derivative of z(k) wrt k.
-42*k
Let r be (-2)/(-6) + (-99)/(-27). What is the second derivative of t + 5*t**4 + 2*t**4 + r*t + t**4 wrt t?
96*t**2
Let o be 8/14*(-4 + 11). What is the third derivative of 4 + 0*z**2 + 2*z**2 - 4 - 3*z**o wrt z?
-72*z
Let f(c) be the first derivative of -c**3/6 + c**2 + c - 2. Let d(q) be the first derivative of f(q). Find the first derivative of d(s) wrt s.
-1
Find the second derivative of 652*f**4 + 4*f - 3 + 0*f - 619*f**4 wrt f.
396*f**2
Let f(a) be the second derivative of 2*a + 0 - 1/10*a**5 + 0*a**3 + 1/3*a**4 + 0*a**2. Find the third derivative of f(x) wrt x.
-12
Let r(u) be the first derivative of -7*u**4/4 - 2*u**3 + 5. Find the third derivative of r(i) wrt i.
-42
Let o(u) be the second derivative of -13*u**6/30 + 8*u**2 + 13*u. What is the first derivative of o(d) wrt d?
-52*d**3
Suppose 2*n = 2*c, 3*c = -2*n - 2*c + 14. What is the first derivative of i**4 - 2*i**4 - 1 - n wrt i?
-4*i**3
Find the first derivative of 6*g**2 - 6 + 3 + 10 wrt g.
12*g
Let a = 5 - 11. Let b(j) = 2*j**4 + 3*j**3 - 1. Let g(k) = -k**4 - 2*k**3 + 1. Let d(h) = a*g(h) - 4*b(h). Differentiate d(p) wrt p.
-8*p**3
Let t(i) be the third derivative of 17*i**7/210 + i**5/4 + 2*i**2. Find the third derivative of t(v) wrt v.
408*v
Let r(v) be the second derivative of v**11/18480 - v**7/1260 + v**4/4 + 2*v. Let q(s) be the third derivative of r(s). Find the third derivative of q(j) wrt j.
360*j**3
Let g(f) = -13*f**4 - 23. Let n(b) = -7*b**4 - 12. Let d(m) = 2*g(m) - 5*n(m). Differenti