r) = 2*c(r) + 6*l(r). Find the third derivative of t(d) wrt d.
48*d
Let m(r) be the first derivative of -r**7/14 + r**4/4 + r - 3. Let h(b) be the first derivative of m(b). Find the third derivative of h(a) wrt a.
-180*a**2
Let f(y) be the first derivative of y - 4 - 3/2*y**2. Differentiate f(x) with respect to x.
-3
Let a(n) be the first derivative of -n**7/105 - n**5/20 - 3*n**2/2 + 1. Let h(f) be the second derivative of a(f). What is the third derivative of h(x) wrt x?
-48*x
Suppose 0 = -5*a + 9 + 6. Find the third derivative of -2*i**2 + i**a - i**3 - 2*i**3 + 5*i**2 wrt i.
-12
Let j(o) be the second derivative of -o**3/3 - o**2 - 2*o. Let c(s) = -5*s - 6. Let b(i) = -2*c(i) + 7*j(i). Find the first derivative of b(u) wrt u.
-4
Let m(t) be the third derivative of -t**7/2520 - t**5/30 + t**4/12 + 2*t**2. Let n(q) be the second derivative of m(q). Find the first derivative of n(l) wrt l.
-2*l
Let v(r) = -19*r**3 - 3*r**2 + 6*r + 1. Let f(n) = 37*n**3 + 5*n**2 - 12*n - 1. Let j(c) = 3*f(c) + 5*v(c). What is the second derivative of j(i) wrt i?
96*i
Let v(y) = -20*y**4 + 8*y**3 - 26*y + 8. Let g(m) = -13*m**4 + 5*m**3 - 17*m + 5. Let k(q) = 8*g(q) - 5*v(q). Find the second derivative of k(p) wrt p.
-48*p**2
Let c(m) = -m**2 - 5*m + 2. Let t be c(-5). Let n be ((-2)/4)/(t/(-16)). Differentiate r**2 + n + 1 - 6 wrt r.
2*r
Let b be (18/(-4) - -4)*-4. Let c(n) be the first derivative of -2 + 0*n**3 - 1/2*n**b + 0*n + 1/2*n**4. What is the second derivative of c(d) wrt d?
12*d
Let v(q) = q**2 + 6*q - 11. Let t be v(-8). Find the first derivative of -t*c**3 - 5 + c**3 - c**3 + 3 wrt c.
-15*c**2
Let o(u) be the third derivative of u**7/42 - 13*u**3/6 - u**2. Differentiate o(n) wrt n.
20*n**3
Let v(s) be the first derivative of 5*s**4/2 - 7*s - 11. What is the first derivative of v(g) wrt g?
30*g**2
Let v = 11 + -8. What is the second derivative of 3*r**v + 3*r - 3*r**3 + 0*r**3 + r**5 wrt r?
20*r**3
What is the third derivative of 0*b**6 + 17*b**2 - 15*b**2 + 10*b**6 - 2*b**6 wrt b?
960*b**3
Let j(t) be the third derivative of t**8/1680 - t**5/60 + t**4/6 + 4*t**2. Let h(b) be the second derivative of j(b). Differentiate h(w) wrt w.
12*w**2
Let u(x) = -26*x**4 + 11*x**2 - 11*x - 54. Let p(m) = -13*m**4 + 6*m**2 - 6*m - 27. Let s(o) = -11*p(o) + 6*u(o). Differentiate s(b) with respect to b.
-52*b**3
Suppose -2*v - k + 15 = 0, -3*v + k + 9 = -v. Find the first derivative of 8 + v*t**2 - 2 - 10 wrt t.
12*t
Let c(s) be the second derivative of s**6/5 + s**3/2 - 9*s. What is the second derivative of c(h) wrt h?
72*h**2
Find the second derivative of 14*p**3 + 13*p**3 - 4*p**3 + 5*p wrt p.
138*p
Let l(a) = 7*a**4 + 11*a**2 + 19*a - 11. Let p(t) = 3*t**4 + 6*t**2 + 10*t - 6. Let v(d) = 6*l(d) - 11*p(d). Find the second derivative of v(j) wrt j.
108*j**2
Suppose 2*w - 3*w = -2. Find the first derivative of 10 + h**w - 12 + 2*h**2 wrt h.
6*h
Let h(v) = 10*v**2 + 9*v. Let b(x) = -50*x**2 - 44*x. Let u(g) = -2*b(g) - 11*h(g). Find the second derivative of u(m) wrt m.
-20
Let d(z) = -8*z**3 - 3*z**2 - 3. Let v(n) = -8*n**3 - 4*n**2 - n - 4. Let r(h) = 4*d(h) - 3*v(h). What is the second derivative of r(l) wrt l?
-48*l
Differentiate 7*i + 2 + 12*i + 3 wrt i.
19
Let a(y) be the first derivative of 3*y**5 - 4*y**3 + 15. What is the third derivative of a(z) wrt z?
360*z
Let v = -29/10 + 611/210. Let m(l) be the third derivative of 0 - v*l**7 + 0*l**4 + 0*l + 0*l**6 - l**2 + 0*l**5 + 1/3*l**3. Differentiate m(b) wrt b.
-8*b**3
Differentiate 2*z**2 - 24*z**4 - 2*z**2 + 11 - 4 wrt z.
-96*z**3
Let q(n) be the third derivative of -n**5/30 - 7*n**4/24 - 11*n**2. What is the second derivative of q(d) wrt d?
-4
Let y(h) = h. Let z(l) = -5*l**2 - 10*l. Let p = 0 - 1. Let k(a) = p*z(a) - 5*y(a). What is the second derivative of k(q) wrt q?
10
Let u(h) = -15*h + 15. Suppose 4*b + 12 = -8. Let r(c) = -7*c + 7. Let z(y) = b*r(y) + 2*u(y). Find the first derivative of z(d) wrt d.
5
Let n(p) be the second derivative of -p**6/5 - p**3/2 + 4*p. Find the second derivative of n(m) wrt m.
-72*m**2
Let t = -8 + 9. Find the first derivative of -g - t + 5*g + 0 - 2 wrt g.
4
Let s(b) = -180*b**2 - 10*b + 178. Let h(g) = -60*g**2 - 3*g + 59. Let n(q) = -10*h(q) + 3*s(q). What is the first derivative of n(w) wrt w?
120*w
Let b(g) be the third derivative of -g**9/3024 + g**6/120 + g**3/3 - g**2. Let l(z) be the first derivative of b(z). Find the third derivative of l(o) wrt o.
-60*o**2
Let y(o) be the first derivative of 5*o**6/6 + 9*o**2/2 + 9. Find the second derivative of y(c) wrt c.
100*c**3
Let f(s) be the first derivative of s**7/21 - s**3/2 + s - 3. Let x(o) be the first derivative of f(o). Find the second derivative of x(q) wrt q.
40*q**3
Let j(n) be the third derivative of 7*n**6/60 + 11*n**3/6 + 11*n**2. What is the first derivative of j(s) wrt s?
42*s**2
Let q(f) = -4*f**2 - 5*f + 2. Let s(p) = -4*p**2 - 6*p + 3. Let w(l) = -3*q(l) + 2*s(l). What is the second derivative of w(r) wrt r?
8
Differentiate 2 - 25*z**3 - 8 + 26*z**3 with respect to z.
3*z**2
Let q(u) = -14*u**4 + u**3 + u - 15. Let o(j) = j**4 + j**3 + j + 1. Let g(w) = -o(w) + q(w). What is the derivative of g(c) wrt c?
-60*c**3
Let d(l) = 4*l**4 - 3*l**3 - 6. Let b(n) be the second derivative of -2*n**6/15 + n**5/10 + 3*n**2 - 4*n. Let j(c) = 3*b(c) + 2*d(c). Differentiate j(u) wrt u.
-16*u**3
Let n(p) = -11*p**4 - 20*p**2 - 6*p - 6. Let l(h) = 32*h**4 + 60*h**2 + 17*h + 17. Let y(t) = -6*l(t) - 17*n(t). What is the third derivative of y(b) wrt b?
-120*b
Let u(b) be the first derivative of b**5/10 + b**4/6 - b - 2. Let f(n) be the first derivative of u(n). Find the third derivative of f(c) wrt c.
12
Let h(y) = -15*y + 6. Let f(r) = -7*r + 3. Suppose 5*u - u = -12. Let c(k) = u*h(k) + 7*f(k). What is the derivative of c(z) wrt z?
-4
Let f(l) = 5*l**4 - 3*l**3 - 6*l**2 - 35*l. Let p(o) = o**4 - o**3 - o**2 + o. Let k(s) = -f(s) + 3*p(s). What is the second derivative of k(t) wrt t?
-24*t**2 + 6
Suppose -h = -4*b - 7 + 20, -b = 2*h - 10. Find the second derivative of -u**4 + u**h + 2*u + 0*u - u**3 wrt u.
-12*u**2
Let l(v) = v**3 + 11*v**2 + 6*v - 14. Let g be l(-10). What is the derivative of 33*p - 3 - g*p + 9 wrt p?
7
Let h(k) = -k**2 + 8*k - 9. Let x be h(6). Find the second derivative of x*b**4 + 2*b - b + 0*b + 0*b**4 wrt b.
36*b**2
Let v(x) = -14*x - 9. Suppose -4*t - 15 = -9*t. Suppose 0*f + 12 = -t*f. Let s(q) = 5*q + 3. Let l(a) = f*v(a) - 11*s(a). What is the derivative of l(k) wrt k?
1
Find the first derivative of -25*u**4 + 7 - 11 - 36 + 76*u**4 wrt u.
204*u**3
Let y(o) be the second derivative of 13*o**5/20 + 15*o**3/2 - 10*o. What is the second derivative of y(f) wrt f?
78*f
Let g(r) be the first derivative of -r**7/6 - 3*r**3/2 - 5*r - 9. Let u(n) be the first derivative of g(n). Find the second derivative of u(a) wrt a.
-140*a**3
Let f = 38 + -18. Let g be 92/f + (-6)/(-15). Differentiate 8 + g*t - 6 - 2*t - 4*t with respect to t.
-1
Suppose 5*k + t - 18 = 0, -t = -5*k + 3*t + 28. Let p(o) = 27*o - 1. Let g(z) = -13*z. Let q(y) = k*p(y) + 9*g(y). Differentiate q(s) with respect to s.
-9
Suppose 4*u + 7 = 19. What is the second derivative of u*x**4 + 0*x - 4*x + x**4 wrt x?
48*x**2
Suppose 5*z + 3*l + 40 = 0, 0 = 3*l + 8 + 7. Let p = -3 - z. Find the second derivative of 0*a - p*a**4 - a + 0*a**4 wrt a.
-24*a**2
Let t(h) = -h**5 - h**4 - h**2 + h + 1. Let i(o) = -44*o**5 - 3*o**4 - 3*o**2 + 21*o + 3. Let m(d) = i(d) - 3*t(d). Find the second derivative of m(v) wrt v.
-820*v**3
Find the third derivative of -7*t**3 + 2*t**3 + 3*t**2 + 0*t**3 wrt t.
-30
Let i(p) be the second derivative of 13*p**3/6 + 3*p**2 + 11*p. What is the first derivative of i(x) wrt x?
13
Let a(v) be the second derivative of 0 + 0*v**4 + 0*v**3 - 3/2*v**2 + 0*v**5 - 1/15*v**6 - 3*v. Differentiate a(x) with respect to x.
-8*x**3
Let t(o) be the first derivative of 0*o**6 + 0*o**2 + 0*o + 2/3*o**3 + 0*o**5 + 1/7*o**7 + 0*o**4 + 1. Find the third derivative of t(z) wrt z.
120*z**3
Let l = -1 - -1. Let b be 2 - (1 - l)*-2. What is the third derivative of h**b - h**2 - h**2 + 5*h**2 wrt h?
24*h
Let u(o) = -o**2 + 1. Suppose 2*k = -0*k - 8. Let w(t) = -5*t**2 + 2*t + 4. Let l(g) = k*u(g) + w(g). Find the second derivative of l(i) wrt i.