the third derivative of 5/3*y**3 + 0 + 3*y**2 + 1/24*y**4 + 0*y. Differentiate d(o) wrt o.
1
Let l(i) = i**4 + 1. Let g(a) = 30*a**5 + 6*a**4 - 9*a**2 + 6. Let c(q) = g(q) - 6*l(q). Find the third derivative of c(m) wrt m.
1800*m**2
Suppose 0 = 3*i - 5*i + 12. Find the third derivative of 3*v**i - 4*v**2 + 0*v**2 - 7*v**6 wrt v.
-480*v**3
Suppose -3*z + 4*z + 5 = 0. Let u be 4/(-6)*(2 + z). Find the second derivative of m**4 - u*m**5 - 4*m**4 + 3*m**4 + 2*m wrt m.
-40*m**3
Let w(p) = 7*p**2 - 5*p - 8. Let f(u) = u**2 - u - 1. Let r(a) = -24*f(a) + 3*w(a). Find the second derivative of r(l) wrt l.
-6
Let d(b) be the third derivative of 0*b**4 + 0*b**5 + 0*b + b**2 + 0 - b**3 + 1/20*b**6. Differentiate d(i) wrt i.
18*i**2
Let p(m) be the first derivative of -3 + 0*m**2 + 0*m + 3/4*m**4 - m**3. Find the third derivative of p(h) wrt h.
18
Let c be ((-4)/3)/((-3)/9). Find the second derivative of f**4 + 2*f**5 - f**c + f - 4*f**5 wrt f.
-40*f**3
What is the first derivative of 5*c + 2 + 14*c - 4 wrt c?
19
Let c(f) be the second derivative of -6*f**5/5 + 7*f**4/4 + 18*f. What is the third derivative of c(u) wrt u?
-144
Let y(o) be the first derivative of 10*o**7/7 + 5*o**6/6 + 2*o**3/3 + 3*o**2/2 + 25. What is the third derivative of y(s) wrt s?
1200*s**3 + 300*s**2
Let c(d) = 7*d**3 + 5*d**2 - 4*d. Let i(r) = 7*r**3 + 5*r**2 - 5*r. Let n(f) = 5*c(f) - 4*i(f). What is the third derivative of n(q) wrt q?
42
Let y be 22/5 + (-20)/50. Find the second derivative of 54*a**y + 3 - 65*a**4 - 5*a - 3 wrt a.
-132*a**2
Let y(k) be the third derivative of 0 + 1/60*k**5 + 0*k**3 + 4*k**2 + 0*k - 1/60*k**6 + 0*k**4. What is the third derivative of y(q) wrt q?
-12
Let k(v) = -v**2 + 1 - 3*v**2 + 3*v**2. Let z be k(-1). What is the third derivative of h**2 - 3*h**2 + 3*h**2 + 2*h**3 + z*h**3 wrt h?
12
Suppose 2*d - 3*f = -3*d, f + 1 = 2*d. What is the first derivative of 3 + 2*n**d + 7*n**2 - 7*n**2 wrt n?
6*n**2
Let z(f) = f**3 - f**2 - 1. Let w(o) = -17*o**3 + 11*o**2 + 6. Let l(g) = -w(g) - 6*z(g). Find the third derivative of l(i) wrt i.
66
Let j(q) be the first derivative of -4*q**5 + 30*q - 31. Differentiate j(n) with respect to n.
-80*n**3
Let d = 47 - 47. Let k(l) be the first derivative of 1/2*l**6 + 0*l**4 - l**3 - 3 + d*l + 0*l**5 + 0*l**2. What is the third derivative of k(j) wrt j?
180*j**2
Let x = -6 + 8. Find the first derivative of 7*f**3 + 3 - 5*f**3 + x*f**3 wrt f.
12*f**2
Let m(w) be the second derivative of 11*w**6/5 - w**2/2 - 56*w. Find the first derivative of m(f) wrt f.
264*f**3
Let d(w) = 8*w**4 - 6*w**3 - 6*w**2 - 2. Let p be (-3 - -6)/3*5. Let n(l) = -7*l**4 + 5*l**3 + 5*l**2 + 1. Let a(o) = p*d(o) + 6*n(o). Differentiate a(h) wrt h.
-8*h**3
Let r(g) be the third derivative of -2*g**7/105 - 7*g**5/60 + 7*g**2. What is the third derivative of r(l) wrt l?
-96*l
Let z be (-11)/(-4) - (-7)/28. Suppose n + z*b + 10 = 0, 14 = 3*n - 4*b - 8. Find the second derivative of 2*v - 3*v**4 + 0*v - n + 2 wrt v.
-36*v**2
Let i(f) = -5*f**4 - 3*f**3 + 1. Suppose v + 5 = 2*v. Let y(o) = -10*o**4 - 5*o**3 + 2. Let h(u) = v*i(u) - 3*y(u). Find the first derivative of h(w) wrt w.
20*w**3
Let j(n) be the second derivative of -3*n + 0*n**3 + 1/14*n**7 - 1/6*n**4 + 0*n**5 + 0*n**6 + 0 + 0*n**2. Find the third derivative of j(h) wrt h.
180*h**2
Let o(u) = -u - 1. Let v(h) = -12*h - 1. Let r(x) = -5*o(x) + v(x). What is the derivative of r(g) wrt g?
-7
Differentiate -6*r**3 - 11*r**3 + 4 + 3 - 4 with respect to r.
-51*r**2
Let n(j) = 13*j**4 + 37*j**3 + 20*j**2 - j. Let h(r) = 3*r**4 + 9*r**3 + 5*r**2. Let v(w) = -9*h(w) + 2*n(w). What is the third derivative of v(c) wrt c?
-24*c - 42
Let m(c) = 8*c**2 + 2. Let y(k) = -9*k**2 - 3. Let i(p) = -7*m(p) - 6*y(p). Differentiate i(n) with respect to n.
-4*n
Let o(a) = -2*a**6 + 6*a**3 - 7*a**2 + 6. Let x(i) = 3*i**6 - 5*i**3 + 7*i**2 - 5. Let f(j) = 5*o(j) + 6*x(j). Find the third derivative of f(c) wrt c.
960*c**3
Let j(v) = -13*v - 6. Let d(s) = 4*s + 2. Let w = 2 - 6. Let n(z) = w*j(z) - 14*d(z). What is the first derivative of n(k) wrt k?
-4
Let y = -7 - -13. Let h be y/(2 + (-2)/4). What is the derivative of 6*q**4 - 1 + 0*q - 5*q**h + 0*q wrt q?
4*q**3
Let i = -5 + 7. Suppose -2*d = -5*d + 24. What is the derivative of -d*r + 8*r - i + r**4 wrt r?
4*r**3
Let w(b) = -2*b. Let p be w(0). Let j(r) be the first derivative of 2 + 0*r + p*r**2 - 1/3*r**3 - 1/4*r**4. Find the third derivative of j(c) wrt c.
-6
Let f(b) be the second derivative of b**3/2 + 2*b**2 + b. Let k(o) = 1. Suppose -4 = d - 5*d. Let l(r) = d*f(r) - k(r). Differentiate l(j) wrt j.
3
Let h(q) = 4*q**3 + 5*q**2 - 11*q. Let u(l) = -4*l**3 - 4*l**2 + 11*l. Let j(n) = -4*h(n) - 5*u(n). Find the second derivative of j(d) wrt d.
24*d
What is the third derivative of -14*b**2 - 19*b**2 + 11*b**2 - 19*b**6 wrt b?
-2280*b**3
Let x(w) = -3*w**5 - 9*w**4 + 3*w. Let z(u) = 2*u**5 + 4*u**4 - 2*u. Let j(q) = -4*x(q) - 9*z(q). Find the second derivative of j(m) wrt m.
-120*m**3
Suppose 0 + 6 = 3*m. Let w(l) be the second derivative of 1/6*l**4 - 1/3*l**3 + 0*l**m - 3*l + 0. What is the second derivative of w(u) wrt u?
4
Find the second derivative of -9*b - 9*b**4 + 10*b - 11*b wrt b.
-108*b**2
Let p(f) = f**2 + 9*f + 11. Let d be p(-8). Differentiate d*z**3 - 3 + z**3 - 7*z**3 with respect to z.
-9*z**2
Find the second derivative of 2*r - 40*r**2 - 2*r + 0*r + 37*r wrt r.
-80
Let i(a) be the second derivative of a**5/30 - a**3/3 + a**2/2 - a. Let w(m) be the first derivative of i(m). Differentiate w(h) wrt h.
4*h
Let c(v) be the second derivative of -v**8/168 - v**4/24 - 3*v**2/2 + 3*v. Let f(g) be the first derivative of c(g). Find the second derivative of f(u) wrt u.
-40*u**3
Let m(n) be the second derivative of -5*n**8/8 + 11*n**4/4 - 22*n. Find the third derivative of m(s) wrt s.
-4200*s**3
Find the third derivative of 6*w**3 + 6*w**2 - 2*w**3 - 2*w**3 - 5*w**3 wrt w.
-18
Let j(r) = -r**5 + r**3 + r**2 + r - 1. Let h(d) = 16*d**5 - 2*d**3 - 2*d**2 + 15*d + 2. Let o(m) = -h(m) - 2*j(m). Find the second derivative of o(l) wrt l.
-280*l**3
Let c = 1 - -3. What is the third derivative of 3*t + 13*t**2 - 6*t**c - 10*t**2 - 3*t wrt t?
-144*t
Let p(m) be the third derivative of m**8/3360 - m**5/60 + m**4/6 + m**2. Let w(y) be the second derivative of p(y). Find the first derivative of w(a) wrt a.
6*a**2
Let s(x) be the third derivative of -11*x**6/120 + x**5/60 + 4*x**2. What is the third derivative of s(p) wrt p?
-66
Let h(r) = -60*r**3 + 17*r + 95. Let g(u) = -20*u**3 + 6*u + 32. Let j(t) = 17*g(t) - 6*h(t). Find the first derivative of j(s) wrt s.
60*s**2
Let g(i) be the first derivative of 1 + 0*i - 1/2*i**2 + 3/4*i**4 + 0*i**3. What is the second derivative of g(u) wrt u?
18*u
Differentiate 1 + 10 + 1 + 11*w**3 - 2*w**3 wrt w.
27*w**2
Let o(r) = r**3 + 4*r**2 + r + 4. Suppose 2*k - 3*y - y = -10, y = -2*k - 5. Let c be o(k). What is the second derivative of 10 - c + 2*z**2 - z - z**2 wrt z?
2
Let v(l) = 3*l**3 + 2*l**2 + 2. Let j(o) = o**3 + 3*o + 6*o**3 + 5 - 2*o + 5*o**2. Let p(b) = -2*j(b) + 5*v(b). What is the second derivative of p(c) wrt c?
6*c
What is the first derivative of -2 + 0*h**4 - 8 - h**4 - 2*h**4 wrt h?
-12*h**3
What is the second derivative of -g**5 - 22*g**2 - g**5 + 3*g + 22*g**2 wrt g?
-40*g**3
Find the third derivative of j**3 + 5*j**3 - 8*j**2 + 3*j**3 + 0*j**3 wrt j.
54
Let o(w) be the first derivative of -1/6*w**6 + 0*w**5 + 5 + 2*w**2 + 0*w + 0*w**4 + 0*w**3. What is the second derivative of o(f) wrt f?
-20*f**3
Let a(l) = l**2 + 4*l + 2. Let t be a(-4). Find the first derivative of m**t - 12*m + 6 + 0*m**2 + 12*m wrt m.
2*m
Let l(q) = -15*q**2 + 35*q. Let k(t) = 5*t**2 - 12*t. Let n(c) = -11*k(c) - 4*l(c). What is the second derivative of n(h) wrt h?
10
Let z(d) = 13*d**4 - 3*d**3 + 6*d**2 - 3. Let p(b) = 12*b**4 - 2*b**3 + 5*b**2 - 2. Let n(f) = -3*p(f) + 2*z(f). What is the third derivative of n(k) wrt k?
-240*k
Let x(l) = -l**2 - 9*l**2 + 8 - 12*l + 6*l**2. Let y(j) = -3*j**2 - 8*j + 5. Let z(c) = -5*x(c) + 8*y(c). What is the second derivative of z(i) wrt i?
-8
Let g = -4 + 9. Find the third derivative of n**g - n**2 - 2*n - 2*n**5 + 2*n wrt n.
-60*n**2
Find the second derivative of 2*l**3 + 409*l - 20*l**3 - 427*l wrt l.
-10