). Find the third derivative of i(k) wrt k.
-78
Let u be 45/3 + 1 - -2. Find the third derivative of 2*r**3 - 2*r**2 - 2*r**3 - 15*r**4 + u*r**4 wrt r.
72*r
Let l = 0 - -2. Let h = l - -1. What is the third derivative of -2*a**4 - 4*a**h + 4*a**3 - 2*a**2 wrt a?
-48*a
Let o(g) be the second derivative of -g**9/7560 + g**5/24 + g**4/12 + 4*g. Let y(s) be the third derivative of o(s). Find the first derivative of y(n) wrt n.
-8*n**3
Find the first derivative of -5 + 2 + 2 - 8*o - 7 wrt o.
-8
Find the third derivative of -8*l**2 + 2*l**5 + 5*l**5 + 11*l**3 - 11*l**3 wrt l.
420*l**2
Let j(p) = p**4 - p**3 + p**2. Let w(t) = 5*t**4 - 4*t**3 + 4*t**2 - 1. Let i(s) = -4*j(s) + w(s). What is the first derivative of i(k) wrt k?
4*k**3
Let h be (-316)/(-16) - 1/(-4). Suppose 4*n = -0*n + h. Find the third derivative of 5*v**4 - 4*v**2 - 2*v**4 + n*v**2 wrt v.
72*v
Let x(q) = 65*q**2 - 120*q + 25. Let c(m) = -11*m**2 + 20*m - 4. Let w(r) = 25*c(r) + 4*x(r). Find the second derivative of w(y) wrt y.
-30
Suppose 3*c = 1 + 11. Find the second derivative of -14*q**4 + 2*q + 16*q**4 - 9*q**c wrt q.
-84*q**2
Suppose 0*c = 3*c. Let i(n) be the first derivative of -1 + 0*n + 0*n**2 - 1/5*n**5 + c*n**4 - 1/3*n**3. What is the third derivative of i(t) wrt t?
-24*t
Find the third derivative of -4*o**2 - 8*o**6 - 7*o**6 + 12*o**6 wrt o.
-360*o**3
Let l(w) = -1116*w**2 + 450*w - 72. Let y(d) = -77*d**2 + 31*d - 5. Let f(t) = 5*l(t) - 72*y(t). Find the second derivative of f(r) wrt r.
-72
Let i(o) be the second derivative of o**3/3 - 2*o**2 - 10*o. What is the first derivative of i(g) wrt g?
2
Let u = 14 - 8. Let t = 8 - u. Find the second derivative of t*g - g - 2*g**4 + 0*g**4 wrt g.
-24*g**2
Suppose k + 3 + 4 = 4*o, 1 = 2*o - 3*k. What is the third derivative of -2*b**2 + 7*b**3 - 4*b**o - b**3 + b**2 wrt b?
36
Let f = -3 + 3. Differentiate -3*a**4 + f*a**4 + 5*a + 3 - 5*a wrt a.
-12*a**3
Let f(m) = 15*m**3 - 6*m**2 - 6*m. Let x(a) = 31*a**3 - 12*a**2 - 11*a. Let t(s) = -11*f(s) + 6*x(s). Find the third derivative of t(g) wrt g.
126
Let w(i) be the third derivative of 5*i**8/112 + 3*i**5/5 + 29*i**2. What is the third derivative of w(y) wrt y?
900*y**2
Let t(c) = c + 1. Let v(m) = -2*m**3 + 9*m + 5. Let u be (-34)/6 - (-20)/30. Let p(r) = u*t(r) + v(r). What is the second derivative of p(o) wrt o?
-12*o
Let u(n) = -n**3 - 4*n**2 - 2*n - 6. Let c(o) = 2*o. Let m be c(-2). Let a be u(m). What is the second derivative of -4*h**2 - 3*h + h**2 + a*h wrt h?
-6
Find the third derivative of 2*a**2 + 7*a**4 + 37 - 37 wrt a.
168*a
Let m(j) be the second derivative of j**5/15 + j**4/3 + j**3/3 + 9*j. Let d(g) be the second derivative of m(g). Differentiate d(r) wrt r.
8
Let n = 5 - 1. Suppose n*v = l + 21, 4*v - 2*l - 3*l - 41 = 0. Find the second derivative of -3*o**v - 2*o**4 + o + 4*o**4 wrt o.
-12*o**2
Let v(w) be the third derivative of -17*w**9/504 + 11*w**5/30 + 3*w**2. What is the third derivative of v(d) wrt d?
-2040*d**3
Let f(d) = 4*d**4 + 3*d. Suppose -4*z - 12 + 1 = y, 3*y - 3*z = -3. Let r(g) = g. Let i(b) = y*r(b) - f(b). What is the second derivative of i(s) wrt s?
-48*s**2
What is the second derivative of 7*g**2 - 6*g - g + 2*g wrt g?
14
Let k(j) be the first derivative of j**8/168 + j**4/8 + 3*j**2/2 + 3. Let f(t) be the second derivative of k(t). Find the second derivative of f(p) wrt p.
40*p**3
Suppose 0 = -5*p + 7*p - 4. Let g(u) = -4*u**2 - 2*u. Let q(b) = 3*b**2 + b. Let v(m) = p*g(m) + 3*q(m). Find the second derivative of v(o) wrt o.
2
Let t(u) = 9*u + 12. Let l(f) = -3*f + 18 + 6*f + 11*f. Let b(q) = 5*l(q) - 8*t(q). Find the first derivative of b(m) wrt m.
-2
Let l(k) = -k**3 + 2*k**2 - 9*k + 2. Let n(u) = -5*u**3 + 9*u**2 - 37*u + 9. Let t(z) = -9*l(z) + 2*n(z). Find the second derivative of t(s) wrt s.
-6*s
Let f be 4/(-6)*9/(-2). What is the third derivative of -2*j**3 + 5*j**3 - 3*j**2 + 0*j**f wrt j?
18
Let i = 13 - 10. Differentiate 3*n - n + 2 - i*n wrt n.
-1
Let s(a) = 1. Let q(f) be the second derivative of 0 + 1/2*f**3 - f + 3/2*f**2. Let l(c) = -q(c) + 4*s(c). Differentiate l(h) with respect to h.
-3
Let m = -8 - -6. Let i(k) = -2*k**3 + 4*k + 2. Let u(z) = -4*z**3 + 9*z + 5. Let g(n) = m*u(n) + 5*i(n). Find the second derivative of g(w) wrt w.
-12*w
Let k be 5*(-2)/(-15)*3. Let t(d) be the second derivative of 1/15*d**6 + 0*d**5 + 0 + 0*d**3 + d - 1/6*d**4 + 0*d**k. Find the third derivative of t(n) wrt n.
48*n
Let i(o) be the second derivative of 0*o**2 + 2*o + 0 - 1/3*o**4 - 2/3*o**3. Find the second derivative of i(u) wrt u.
-8
Suppose -3*a + 11 + 10 = 0. Find the second derivative of -2*u - a*u**5 + 8*u**5 + 3*u**3 - 3*u**3 wrt u.
20*u**3
Let c(a) = 2*a**2 + a - 5 - 8*a + 0 + 2. Let i(t) = 3*t**2 - 13*t - 5. Let v(s) = -10*c(s) + 6*i(s). What is the second derivative of v(m) wrt m?
-4
Let j(w) be the second derivative of w**9/3780 - 3*w**5/40 - w**4/12 - 7*w. Let z(r) be the third derivative of j(r). Differentiate z(y) with respect to y.
16*y**3
Differentiate 0*g + 7*g**2 - 11*g**2 - 8 + 0*g with respect to g.
-8*g
Let x(l) be the first derivative of -l**5/10 - 2*l**2 + 2*l - 3. Let c(q) be the first derivative of x(q). Find the first derivative of c(r) wrt r.
-6*r**2
Let q = -2 - -8. What is the derivative of -q + 0 + 3 + 3*p wrt p?
3
Let i(l) = l. Let p = -15 - -14. Let x(f) = 6*f**2 + 4*f. Let k(o) = p*x(o) + 2*i(o). What is the second derivative of k(a) wrt a?
-12
Let j(d) be the second derivative of 5/42*d**7 - 7/12*d**4 + 0 + 0*d**5 + 0*d**2 + 0*d**3 + 0*d**6 + 4*d. Find the third derivative of j(y) wrt y.
300*y**2
Let z(r) = -r - 7. Let h be z(6). Let b(d) = 15*d**4 + 5*d**2. Let v(y) = 7*y**4 + 2*y**2. Let f(g) = h*v(g) + 6*b(g). Find the third derivative of f(x) wrt x.
-24*x
Let a(v) be the second derivative of 0*v**3 + 0 - 3/20*v**5 + 0*v**4 + 3/2*v**2 + v. Differentiate a(c) with respect to c.
-9*c**2
Suppose 4*j - 6 = 2*j. Let i(p) = 4 - 1 + j - 4. Let h(x) = -x. Let a(m) = h(m) + i(m). What is the derivative of a(z) wrt z?
-1
Let n(x) = -3*x**4 + 2*x**3 - 2*x**2 + 4*x - 2. Let m(k) = -k**3 + k**2 - k + 1. Let r(b) = 2*m(b) + n(b). Find the second derivative of r(w) wrt w.
-36*w**2
Let s be ((-8)/6)/((-4)/6). Let l = -6 - -9. What is the third derivative of -i**2 - 3*i**s - i**l + 3*i**2 wrt i?
-6
Let u = -5 - -7. Let c be (1 - 1) + u/1. Find the third derivative of -7*s**2 + 10*s**2 + s**6 + c*s**6 wrt s.
360*s**3
Let j(a) be the first derivative of -a**2/2 - a + 3. Let w(s) = 1. Let o(m) = 6*j(m) - w(m). What is the first derivative of o(g) wrt g?
-6
Let t(n) be the first derivative of n**2/2 - 3*n + 1. Let m be t(5). What is the second derivative of -1 + m*i**4 - i + 1 wrt i?
24*i**2
What is the first derivative of 7 + 2*u**4 - 6*u**4 + 0 wrt u?
-16*u**3
Suppose -3*u + 12 = 0, 12 = -2*b + 3*u + u. Differentiate 0*x + b*x - 2*x + x**3 + 2 wrt x.
3*x**2
Suppose z + 4*z = -2*x, -4*x + 4*z = 0. Let p(u) be the first derivative of 1 + 0*u + 2/3*u**3 + 1/4*u**4 + x*u**2. Find the third derivative of p(j) wrt j.
6
Suppose 5*i = 6*i - 8. What is the third derivative of -3*t**3 + 3*t**2 - i*t**2 + 3*t**2 wrt t?
-18
Let r be (4/(-10))/(2/10). Let b be r*(3 - 15/3). Differentiate -2 - 2 + 5 + b*g**2 wrt g.
8*g
Let u(j) = -33*j**2 - 3*j + 20. Let x(i) = -66*i**2 - 5*i + 41. Let b(a) = 5*u(a) - 3*x(a). What is the first derivative of b(k) wrt k?
66*k
Find the first derivative of 6*o - 6*o**4 + 2*o + o - 35 + 10*o**4 wrt o.
16*o**3 + 9
Let t(o) be the second derivative of -3*o**6/10 - o**4/12 + 9*o. Find the third derivative of t(h) wrt h.
-216*h
Let j(w) = 9*w + 7. Suppose 24 = 7*q - 11*q. Let k(y) = y**2 - 9*y - 6. Let a(h) = q*j(h) - 7*k(h). Find the second derivative of a(i) wrt i.
-14
Let y(k) = -2. Let c(d) = -7*d - 12. Let w(i) = c(i) + 3*y(i). What is the first derivative of w(n) wrt n?
-7
Suppose 4*y - 12 = 0, -2*p + 2*y - 3*y = -31. Find the second derivative of -2*j - 14*j**3 - 3*j**4 + p*j**3 wrt j.
-36*j**2
Let k(d) be the first derivative of -3*d**4/2 - 20*d**3/3 - 19. Find the third derivative of k(x) wrt x.
-36
Let p(l) be the first derivative of -l**6 - 2*l**3 + 7. Find the third derivative of p(y) wrt y.
-360*y**2
Let g(j) be the third derivative of 0*j**6 + 0*j**4 - 1/15*j**5 + 1/30*j**7 + 0*j + 0*j**3 + j**2