derivative of j(i) wrt i.
6
Let f(b) = b**2 - 3*b + 4. Let p be f(0). Let h(o) be the third derivative of 0 + 1/24*o**p - 1/3*o**3 - 2*o**2 + 0*o. What is the derivative of h(j) wrt j?
1
Let p(b) be the third derivative of 3*b**6/40 + b**5/10 + b**2. What is the third derivative of p(o) wrt o?
54
Let w(u) be the second derivative of 0*u**5 + 0*u**2 + 0*u**6 + 4/21*u**7 + 0*u**4 + 0 - 8*u + 1/6*u**3. Find the second derivative of w(m) wrt m.
160*m**3
Suppose 4*t = k - 5*k, -2*t + 3*k + 15 = 0. Differentiate -4*o**3 + 1 + 4*o**t + 2*o**3 with respect to o.
6*o**2
Let i = -2 + 4. What is the third derivative of -8*o**6 + 4*o**i - 2*o**2 - 6*o**2 wrt o?
-960*o**3
Let j = -4 - -9. What is the second derivative of 2*g + 0*g - j*g - 2*g + 5*g**3 wrt g?
30*g
Let k(b) be the second derivative of -19*b**3/6 - 5*b**2 - 13*b. What is the first derivative of k(y) wrt y?
-19
Find the first derivative of -4 + 5 + 1 + 6*v**4 + 2*v**4 wrt v.
32*v**3
Find the second derivative of -2 - 25*r + 12*r + 2*r**4 + 2 wrt r.
24*r**2
Suppose -21 = -5*k + 5*l - 6, -2*l + 10 = 2*k. What is the third derivative of 0*i**2 + 11*i**2 - k*i**2 + 2*i**3 wrt i?
12
Let z be (12/(-21))/(2/(-7)). What is the third derivative of 5*u**2 - 7*u**2 + 3*u**z - 2*u**3 wrt u?
-12
Suppose -2*o + a + 42 = -3*a, -2*o = 4*a - 58. Suppose -4*x + 26 = 3*z - 8*x, -o = 5*x. Differentiate z*j**3 + 2 - 5 + 1 wrt j.
6*j**2
Let l(f) = -5*f**2 - 2*f - 4. Let v = 9 + -4. Let i(j) = 3 + v - 1 + 9*j**2 + 3*j. Let p(q) = -4*i(q) - 7*l(q). Find the second derivative of p(a) wrt a.
-2
Let x(g) = 11*g**3 - 3*g**2 + 10. Let p(m) = 32*m**3 - 8*m**2 + 30. Let k(a) = -3*p(a) + 8*x(a). What is the derivative of k(l) wrt l?
-24*l**2
What is the second derivative of -23*q**2 + 23*q**2 + 30 - 11 - 2*q - q**3 + 58*q**4 wrt q?
696*q**2 - 6*q
What is the derivative of 10*o**3 - 21*o + 2 + 36*o - 16*o wrt o?
30*o**2 - 1
Differentiate -3 - 5*m**3 - 1 + 11 with respect to m.
-15*m**2
Let o(x) be the first derivative of 0*x**3 + 0*x**4 - 2/5*x**5 - x - 2 + 0*x**2. Differentiate o(y) wrt y.
-8*y**3
Suppose 0*f + 2*f + 18 = 4*j, j + 4*f = -9. Suppose 0 = -2*s, j*s - 4*s + 12 = 3*w. What is the third derivative of -2*z**2 + 2*z**w + z**3 - z**3 wrt z?
48*z
Find the third derivative of -8 + 8 + 13*m**2 + 8*m**4 + 7*m**4 wrt m.
360*m
Let g(z) be the second derivative of -2*z + 0 - 1/2*z**2 - 1/6*z**3. What is the first derivative of g(n) wrt n?
-1
Let i(g) = -13*g**2 + 9*g - 14. Let n(l) = -6*l**2 + 4*l - 7. Let z(w) = -4*i(w) + 9*n(w). Differentiate z(f) wrt f.
-4*f
Suppose -16 = -5*l - 2*a, -3*l + 2*a - 4 = -2*l. Let v be 1 - 1/l*-2. Differentiate 4 - 2*j**2 + j**v - 1 with respect to j.
-2*j
Let k(h) = -5*h**2 + 7*h - 15. Let s(d) = -5 - 4*d**2 - 2*d**2 + 3*d**2 + 4*d - 3. Let l(w) = 4*k(w) - 7*s(w). Differentiate l(r) with respect to r.
2*r
Let p(b) be the second derivative of 0*b**3 + 0 + 3/20*b**5 + 0*b**4 - 3/2*b**2 - 3*b. Differentiate p(s) with respect to s.
9*s**2
Let m(l) be the third derivative of l**9/336 + l**5/24 + 5*l**3/6 + 8*l**2. Let b(a) be the first derivative of m(a). Find the second derivative of b(w) wrt w.
180*w**3
Let m(i) = -36*i**3 - 36. Let a(t) = 7*t**3 + 7. Let h(w) = -21*a(w) - 4*m(w). Differentiate h(f) wrt f.
-9*f**2
Let g(i) = 20*i**4 + 7*i**2 - 35*i - 7. Let y(x) = -7*x**4 - 2*x**2 + 12*x + 2. Let s(c) = 2*g(c) + 7*y(c). What is the second derivative of s(p) wrt p?
-108*p**2
Let v(p) = -4*p**2 + 21*p - 11. Let r(l) = 6*l**2 - 31*l + 17. Let w(g) = -5*r(g) - 8*v(g). Find the first derivative of w(i) wrt i.
4*i - 13
Let u(w) be the first derivative of w**4/6 - w**3/6 - 3*w**2 + 1. Let i(h) be the second derivative of u(h). Differentiate i(o) with respect to o.
4
Suppose -4 + 1 = -3*q. What is the derivative of -5*f**2 + 3*f**2 - q + 4 wrt f?
-4*f
Let i(o) be the second derivative of 0 + 1/2*o**2 + 2*o + 1/2*o**3. Differentiate i(w) with respect to w.
3
Let l(w) be the second derivative of w**11/18480 - w**7/252 - w**4/12 + w. Let a(z) be the third derivative of l(z). What is the third derivative of a(y) wrt y?
360*y**3
Let h(a) be the third derivative of -a**8/84 - a**5/30 + 5*a**2. Find the third derivative of h(l) wrt l.
-240*l**2
Let a(v) be the second derivative of -3/2*v**2 + 0*v**3 - 1/2*v**5 + 4*v + 0*v**4 + 0. Differentiate a(o) wrt o.
-30*o**2
Let z(y) = -y**2 - 6*y - 2. Let k(p) = -p - 1. Suppose -4*a = 3*l - a - 3, 2*l - 4*a - 2 = 0. Let u(j) = l*z(j) - 6*k(j). What is the derivative of u(g) wrt g?
-2*g
Find the third derivative of -7*g**2 + 16*g**2 + g**6 + 0*g**6 + g**6 wrt g.
240*g**3
Let i be 4/(-18) - 8/(-36). Find the third derivative of 4*g**2 + i*g**6 - 5*g**2 + g**6 + 0*g**2 wrt g.
120*g**3
Let q be 10/35 + 30/(-7). Let d(p) = p - 1. Let i(s) = 2*s**3 + 3*s**2 + 4*s - 4. Let u(a) = q*d(a) + i(a). Find the third derivative of u(n) wrt n.
12
What is the derivative of 10 - v + 35 - 21 wrt v?
-1
Let l(s) be the second derivative of -11*s**4/4 + 7*s**3/6 + 39*s. Find the second derivative of l(v) wrt v.
-66
Find the third derivative of -7*f**5 + 0*f**2 - 4*f**5 - 5*f**2 + 2*f**5 wrt f.
-540*f**2
Let q(z) = 6*z**4 + 4*z**2 - 2*z + 2. Let l(v) = 13*v**4 + 7*v**2 - 5*v + 5. Let j(w) = 2*l(w) - 5*q(w). What is the third derivative of j(n) wrt n?
-96*n
Suppose -3*l = 2*y - 3*y - 12, 5*y + 8 = 2*l. Let a be (-4)/(0 + y + -2). What is the third derivative of -a*u**6 + 2*u**2 + 2*u**4 - 2*u**4 wrt u?
-240*u**3
Let m(n) be the second derivative of 17*n**6/30 - n**5/20 + 9*n**4/4 + 64*n + 2. What is the third derivative of m(q) wrt q?
408*q - 6
Let h(q) = q**2 - 1. Suppose 2*u - 5 - 1 = 0. Let m = 9 - u. Let i(r) = 2*r**2 - 1. Let j(a) = m*h(a) - 4*i(a). What is the first derivative of j(t) wrt t?
-4*t
Let x be (-3)/(6/(-8)*2). Suppose -x*f + f = -3. Find the first derivative of -t**3 + 6*t**3 + 2 - f*t**3 wrt t.
6*t**2
Let v(k) = -14*k**3 + 3*k**2 - 3*k + 6. Let o(a) = 28*a**3 - 5*a**2 + 5*a - 11. Let j(p) = -3*o(p) - 5*v(p). What is the derivative of j(f) wrt f?
-42*f**2
Let r(g) be the second derivative of -13*g**5/5 + g**4/6 - g**2/2 - 6*g - 1. Find the third derivative of r(y) wrt y.
-312
Let x = 5 + -10. Let m = x - -10. Find the second derivative of 2*z + 3*z**m + 4 - 4 wrt z.
60*z**3
Let m = -2 - -4. Let y(s) be the second derivative of -3/2*s**m + 1/6*s**4 + 2*s + 0*s**3 + 0. Differentiate y(p) with respect to p.
4*p
Suppose -k = -6*k + 15. Suppose -9 = -4*g + k. Find the second derivative of -3*m + 0*m**3 + m - m**g wrt m.
-6*m
Let t(x) be the third derivative of 1/60*x**6 + 0 + 0*x**3 + 0*x + 0*x**5 - 1/8*x**4 - 2*x**2. What is the second derivative of t(j) wrt j?
12*j
What is the third derivative of 7*a**5 - 11*a**2 - 2*a**5 + 11*a**5 + 13*a**5 wrt a?
1740*a**2
What is the third derivative of 4*a**4 + 10*a**2 + 2*a**2 - 8*a**2 wrt a?
96*a
Let c(m) be the third derivative of 3*m**5/10 - m**4/8 - 16*m**2. What is the second derivative of c(y) wrt y?
36
Find the second derivative of 21*n + 24*n**3 + n**3 - 8*n wrt n.
150*n
Let o(b) = 3 - b - 3 + 0 + 1. Let v(f) = -12*f + 8. Let t(x) = 5*o(x) - v(x). What is the first derivative of t(q) wrt q?
7
Let q = 5 - 2. What is the second derivative of 5*r**3 + 6*r**3 - 9*r**q + r + 4*r wrt r?
12*r
Let y(a) be the first derivative of -4*a**5/5 + 12*a - 2. Differentiate y(h) with respect to h.
-16*h**3
Find the second derivative of -9*g - 10*g**4 + 3*g**4 - 4*g + 5*g**4 wrt g.
-24*g**2
Let c(h) = h**2 + 3*h + 2. Let n be c(-2). What is the first derivative of -q**3 + 2 - 1 + n wrt q?
-3*q**2
Find the first derivative of -2*h**2 - 160 - 3*h**2 + 162 + 0*h**2 wrt h.
-10*h
Differentiate p**3 - 17*p**3 - 18 + 42*p**3 wrt p.
78*p**2
Let o(r) be the second derivative of r**8/84 - r**5/20 - 2*r**2 - 3*r. Let y(b) be the first derivative of o(b). Find the third derivative of y(l) wrt l.
240*l**2
Let i(z) = 2*z**3 + 2*z. Let d(r) = -2*r**3 - r**3 + r + 5*r**3. Let y(h) = -3*d(h) + 2*i(h). What is the second derivative of y(k) wrt k?
-12*k
Let a(x) be the second derivative of x**6/5 - 7*x**2/2 + 7*x. Find the first derivative of a(y) wrt y.
24*y**3
Let s be 14/3 + 8/(-12). Suppose 0 = s*r + 4*y, -y - 10 = -4*r - 0*y. What is the second derivative of -3*j + 6*j - r*j**5 - j wrt j?
-40*j**3
Let b(u) be the second derivative of 0*u**5 + 1/3*u**4 + 0*u*