+ 7. Suppose -2*n - 20 = 2*n. Let u be g(n). Find the second derivative of 5*v**2 - 2*v + u*v - 2*v**2 - 2*v wrt v.
6
Let f(w) be the third derivative of -1/10*w**5 + 0*w**7 + 0*w**4 + 0*w**6 + 0*w + 1/56*w**8 + 0*w**3 - 7*w**2 + 0. What is the third derivative of f(q) wrt q?
360*q**2
Let a(g) = -2 + 0 - 4*g**2 + 2*g**4 - 2*g**2 - 2*g**2. Let m(s) = s**2 + 1. Let v(w) = -a(w) - 2*m(w). Find the third derivative of v(p) wrt p.
-48*p
Let v(w) be the second derivative of 19*w**6/30 - w**4 + 5*w. What is the third derivative of v(k) wrt k?
456*k
Let d = -4 + 6. Find the third derivative of t**2 + t**3 + 2*t**2 - d*t**2 wrt t.
6
What is the derivative of -21*g + g**3 + 3 - 1 + 21*g wrt g?
3*g**2
Let m(j) be the third derivative of j**9/504 + j**5/15 - 4*j**2. What is the third derivative of m(d) wrt d?
120*d**3
Suppose 16 = -2*z + 3*g + 4, -g = 2*z - 4. Suppose -4*h - 5*w + 2 = -1, 4*h - 5 = -3*w. Find the third derivative of -h*o**2 + 0*o**2 + z*o**2 - o**3 wrt o.
-6
Suppose 0 = 2*g - 3*b + 9, g + 4*b - 3*b - 8 = 0. Find the first derivative of 2*o**g + 0*o**3 + 1 + 1 - o**3 wrt o.
3*o**2
Let y(v) = -3. Let b(i) = -i + 9. Let l(a) = 4*b(a) + 11*y(a). Differentiate l(n) wrt n.
-4
Let o(n) = n + 1. Let r = -19 + 17. Let m(t) = -t - 3 + 0*t + 0*t. Let f(v) = r*o(v) - m(v). Find the first derivative of f(k) wrt k.
-1
Let u(j) be the first derivative of -9*j**5/5 - 11*j**3/3 - 2*j**2 + 49. Find the third derivative of u(b) wrt b.
-216*b
Let w(z) = -z**4. Let d(x) = 6*x**4 - x. Suppose 4 = 2*o - 2. Let g(c) = o*w(c) + d(c). Find the second derivative of g(u) wrt u.
36*u**2
Find the second derivative of -w + 5*w**2 + 15*w**2 - 6*w**2 wrt w.
28
Suppose -40 = -2*d + d. What is the third derivative of o**4 + 40*o - d*o + 3*o**2 wrt o?
24*o
Let o(h) be the first derivative of -5/3*h**3 + 5/6*h**6 + 0*h**2 + 6 + 0*h**4 + 0*h + 0*h**5. What is the third derivative of o(n) wrt n?
300*n**2
Let c be 35/11 + 8/(-44). Differentiate -3 - c*j**2 + 3*j**2 - j**2 with respect to j.
-2*j
Let w(p) = -p**2 + 1. Let c(n) = 8*n**3 - 5*n**2 + 5*n + 5. Let r(t) = c(t) - 5*w(t). What is the second derivative of r(k) wrt k?
48*k
Let l = -12 - -16. Find the second derivative of -2*v - 8*v**4 - 9*v**4 + l*v + 13*v**4 wrt v.
-48*v**2
Let c(h) = h**4 + 5*h**3 - 11*h**2. Let n(q) = 13 - 13 - 16*q**2 + 7*q**3 + q**4. Let y(f) = 7*c(f) - 5*n(f). Find the third derivative of y(l) wrt l.
48*l
Let z(q) be the third derivative of q**9/36 - 19*q**5/60 + 2*q**2. What is the third derivative of z(m) wrt m?
1680*m**3
What is the derivative of 1 + 4 - 2 + 0 + 5*k**2 wrt k?
10*k
Let o(h) be the first derivative of -16*h**6/3 + 31*h**3/3 - 36. Find the third derivative of o(c) wrt c.
-1920*c**2
Find the third derivative of -7*r**6 - 29*r**2 - 44*r**6 + 25*r**6 - 3*r**2 wrt r.
-3120*r**3
Let l(d) = d**2 + 11*d + 12. Let j be l(-9). Let h be 3/(-1)*j/9. Find the second derivative of -g**4 + h*g + 2*g**4 + 2*g**4 - 2*g**4 wrt g.
12*g**2
Let s(d) be the third derivative of -4*d**7/35 - 23*d**3/6 - 29*d**2. Differentiate s(o) wrt o.
-96*o**3
Suppose 2*o = b + 7, 3*o = -3*b + o + 19. Suppose -b*r + 6*r = 6. Differentiate -i**r - 2*i**2 + 2*i**2 - 3 with respect to i.
-2*i
Let k(b) = -9*b**3 - b**2 - 5. Let r = 11 - 16. Let f(s) = -5*s**3 - 3. Let w(c) = r*f(c) + 3*k(c). What is the third derivative of w(a) wrt a?
-12
Differentiate 16*p - 18 + 9 - 2*p with respect to p.
14
Let t(z) be the first derivative of z**9/3024 + z**6/120 + 4*z**3/3 - 4. Let q(x) be the third derivative of t(x). What is the third derivative of q(r) wrt r?
60*r**2
Let u(q) be the second derivative of -q**3/2 + q**2 - q. Let w(p) = -3 + 4 - 2*p + 0*p. Let n(i) = 3*u(i) - 4*w(i). What is the first derivative of n(c) wrt c?
-1
Suppose -10*d + 40 = -2*d. Let b(s) be the first derivative of 0*s - 1/3*s**3 + 2 + 0*s**2 + 0*s**4 + 3/5*s**d. Find the third derivative of b(o) wrt o.
72*o
Let w(r) = -r + 1. Let u(s) = -10*s + 8. Let j(d) = -3*u(d) + 21*w(d). What is the first derivative of j(a) wrt a?
9
What is the second derivative of -1 - 8*y + 3*y**4 + 6 - 5 wrt y?
36*y**2
Let f(q) be the second derivative of 5*q**4/4 - 4*q**3/3 - 60*q. What is the second derivative of f(i) wrt i?
30
Let d(b) = -18*b**4 + 5*b**3 - 39*b**2 - 5. Let z(f) = -9*f**4 + 2*f**3 - 20*f**2 - 2. Let h(x) = -2*d(x) + 5*z(x). Find the third derivative of h(l) wrt l.
-216*l
Let f(h) be the first derivative of h**3/3 - h**2/2 - h - 5. Let r(z) = 3*z**2 - z - 5. Let j(y) = -5*f(y) + r(y). Find the second derivative of j(s) wrt s.
-4
Let l be 3/1 + -2 - -5. What is the derivative of 5*u**3 - 12 + l + 9 wrt u?
15*u**2
Let s(j) be the third derivative of -5*j**4/24 - j**3 + 6*j**2. Let q(t) = -4*t - 6. Let k(r) = -6*q(r) + 5*s(r). What is the first derivative of k(p) wrt p?
-1
Let f(m) be the first derivative of -2*m**5/5 + m**2/2 + m + 35. Find the second derivative of f(j) wrt j.
-24*j**2
Suppose 1 = h - 5. Suppose 4*s - h = s. Find the third derivative of z**s + 2*z**2 + 0*z**2 - 2*z**6 wrt z.
-240*z**3
Let m(q) = -11*q**3 + 2*q**2 + 13. Let f(d) = 44*d**3 - 9*d**2 - 53. Let g(z) = -2*f(z) - 9*m(z). Differentiate g(u) with respect to u.
33*u**2
Suppose 2*m + 9 = 5*m. What is the derivative of -25*f - m + 8 + 30*f wrt f?
5
Let l(q) be the third derivative of -q**6/12 + 3*q**4/4 + 13*q**2. What is the second derivative of l(t) wrt t?
-60*t
Let x be (-6)/9*(-5 - 1). What is the derivative of -2 - x - p**4 + 2 wrt p?
-4*p**3
Let o(j) be the first derivative of j**4/6 + 4*j**2 + j + 1. Let h(f) be the first derivative of o(f). Differentiate h(c) wrt c.
4*c
Suppose 0 = -0*v - 5*v + 10. What is the first derivative of -1 + 2*j - 4 + v + 0 wrt j?
2
Let h(d) be the second derivative of -d**7/280 - d**5/24 - d**3/6 + 6*d. Let r(o) be the second derivative of h(o). What is the second derivative of r(u) wrt u?
-18*u
Find the second derivative of 11*p**3 + 3 - 3 + p wrt p.
66*p
Let m(h) = h. Let n(d) = -d**3 - 5*d**2 + 5. Let r be n(-5). Let l be m(r). What is the second derivative of -f + 2*f - 3*f + 3*f**l wrt f?
60*f**3
What is the derivative of 0*m + 5 + 5*m + 0 - 4*m wrt m?
1
Suppose -6*s = -2*s - 24. What is the third derivative of -7*p**2 - 4*p**6 + 2*p**2 + 0*p**s wrt p?
-480*p**3
Let w(h) be the first derivative of h**5/10 + 5*h**4/12 + 5*h + 2. Let y(u) be the first derivative of w(u). Find the third derivative of y(v) wrt v.
12
Let o(s) = 7*s + 19. Let q(b) = -8*b - 19. Let k(p) = -5*o(p) - 4*q(p). What is the derivative of k(h) wrt h?
-3
Let l(q) be the third derivative of -q**7/840 - q**4/8 - q**3/3 + 2*q**2. Let a(u) be the first derivative of l(u). Differentiate a(x) wrt x.
-3*x**2
Let g(u) be the first derivative of -5*u**4/24 - 7*u**3/6 + 3*u**2/2 + 2. Let w(c) be the second derivative of g(c). Differentiate w(j) with respect to j.
-5
Let u(f) = -f**6 - f**2 - 1. Let x(i) = 18*i**6 + 16*i**2 + 14. Let t(p) = 28*u(p) + 2*x(p). Find the third derivative of t(g) wrt g.
960*g**3
Let d(h) be the second derivative of 4*h**6/15 - h**4/12 + 7*h. Find the third derivative of d(n) wrt n.
192*n
Suppose 4*z = 5*w + 49, 2*w + 22 = -z + 3*z. What is the third derivative of 4*s**2 - s**2 - 4*s**6 + s**6 + 2*s**z wrt s?
-120*s**3
What is the third derivative of -6*t**2 - 2*t**2 - 3*t**6 - 2*t**6 + t**6 wrt t?
-480*t**3
Find the third derivative of 7*s**2 - 258 + 258 - 13*s**6 wrt s.
-1560*s**3
Let x(d) be the second derivative of -d + 0*d**3 + 0*d**5 - 1/10*d**6 + 0*d**4 + 0 - 2*d**2. What is the first derivative of x(a) wrt a?
-12*a**3
Let j = 8 - 7. What is the second derivative of 4*s - 1 + s**4 + j wrt s?
12*s**2
Let a(j) = 23*j**2 + 8*j - 21. Let u(v) = 8*v**2 + 3*v - 7. Let w(f) = -3*a(f) + 8*u(f). What is the derivative of w(n) wrt n?
-10*n
Differentiate -112 + 35 + 5*b**3 + 19 + 36 with respect to b.
15*b**2
Let j(c) be the second derivative of -3*c**8/28 - 5*c**4/12 + 7*c. Find the third derivative of j(d) wrt d.
-720*d**3
Let k(d) = -44*d**3 + d**2 + 2*d + 1. Suppose 5*p - 2*p + 3 = 0. Let n be k(p). What is the second derivative of n*s**4 - 3*s - 3*s**5 - 44*s**4 wrt s?
-60*s**3
Let d be (-10)/4*(-8)/10. Differentiate -2 + 7 + d*s**2 + 3*s**2 wrt s.
10*s
Let y(h) be the first derivative of -21*h**5/5 + 20*h - 39. What is the derivative of y(k) wrt k?
-84*k**3
Let 