hat is the second derivative of -4*y + 27*y - 4*y + 6*y**3 wrt y?
36*y
Let n(j) = j**3 + 4*j**2 + 5*j + 3. Let b be n(-3). Let g be 5*b/6*-2. What is the third derivative of -4*k**2 - 3*k**2 + 5*k**2 - k**g wrt k?
-60*k**2
Suppose 4*l + t + 8 = -3*t, 0 = 5*t + 20. Let f(o) be the second derivative of 2*o - o**l + 1/6*o**3 + 0. Differentiate f(d) with respect to d.
1
Suppose 4*h = 2*b + 10, -4*h + 10 = 4*b - 6. Suppose -3*y - h = -9. What is the third derivative of l**5 - l**y - 5*l**2 + 0*l**5 + 4*l**2 wrt l?
60*l**2
Let r(u) be the first derivative of 2*u**5/5 + 17*u**4/2 - u**3 - u**2/2 + 50. What is the third derivative of r(s) wrt s?
48*s + 204
Let m(z) = -2*z**3 - 8*z**2 - 16*z - 8. Let i(y) = -y**3 - 3*y**2 - 5*y - 3. Let w(p) = -8*i(p) + 3*m(p). What is the second derivative of w(s) wrt s?
12*s
Let g(i) = 8*i**2 - 10*i + 7. Let s(x) = -4*x**2 + 5*x - 4. Let q(n) = -4*g(n) - 7*s(n). Find the second derivative of q(r) wrt r.
-8
Let z(w) be the third derivative of -w**7/105 - 7*w**6/120 + w**4/12 + w**3/3 + w**2 + 8. What is the second derivative of z(x) wrt x?
-24*x**2 - 42*x
Let t(u) = 2*u**2 + 5*u - 2. Let a be t(-4). Find the second derivative of -n**3 - a*n**3 + 7*n**3 + n wrt n.
-24*n
Let f(p) = 4*p**2 + 5*p - 1. Let z(x) = 2*x**2 + 3*x - 1. Let r(u) = -6*f(u) + 10*z(u). Differentiate r(n) wrt n.
-8*n
Let o(l) be the third derivative of 11*l**4/24 + 2*l**3/3 + 17*l**2. Differentiate o(a) with respect to a.
11
Let f(q) be the second derivative of q**6/120 - q**5/15 - q**4/3 - 2*q. Let x(g) be the third derivative of f(g). What is the first derivative of x(c) wrt c?
6
Let y(v) be the second derivative of 1/12*v**4 + 0*v**5 + v + 0*v**6 + 0*v**2 + 1/21*v**7 + 0*v**3 + 0. What is the third derivative of y(w) wrt w?
120*w**2
Find the third derivative of 1 - 1 - 8*z**2 - 10*z**4 + 0 wrt z.
-240*z
Let u(x) be the first derivative of x**4/2 + 4*x**3 - 23*x + 10. Differentiate u(t) with respect to t.
6*t**2 + 24*t
Let z(t) be the second derivative of t**5/4 - 2*t**4/3 - 8*t. What is the third derivative of z(k) wrt k?
30
Let f(a) = 4*a**4 + 5*a**3 + 5*a**2 - 5*a + 3. Let d(t) = -t**4 + t**3 + t**2 - t + 1. Let n(j) = -5*d(j) + f(j). What is the derivative of n(x) wrt x?
36*x**3
Let o(m) be the third derivative of 7*m**5/60 - 4*m**3/3 + 3*m**2. What is the derivative of o(k) wrt k?
14*k
Let p(r) = -r + 47. Let m(b) = -2*b + 96. Let c(n) = -6*m(n) + 11*p(n). Differentiate c(h) wrt h.
1
Let c(g) = -11*g**4 - 2*g**3 + 2*g - 8. Let v(r) = -22*r**4 - 5*r**3 + 5*r - 16. Let a(y) = -5*c(y) + 2*v(y). What is the derivative of a(s) wrt s?
44*s**3
Let m(k) be the second derivative of 13*k**4/12 + 3*k**2 - 12*k. What is the derivative of m(o) wrt o?
26*o
Let b(g) be the third derivative of 5*g**8/112 + g**5/20 - 13*g**2. What is the third derivative of b(h) wrt h?
900*h**2
Let l(o) = -3 - 3 + 4 - 5*o. Let g(b) = 6*b + 2. Suppose 3*r + 29 = 2*z, -18 = -2*z + 3*z + 5*r. Let w(f) = z*l(f) + 6*g(f). Differentiate w(n) wrt n.
1
Let b(g) be the third derivative of g**8/84 - g**5/10 - 3*g**2. What is the third derivative of b(n) wrt n?
240*n**2
Let n(h) = -19*h**5 - 2*h**2 - 22*h + 2. Let d(g) = -18*g**5 - 3*g**2 - 22*g + 3. Let o(s) = 2*d(s) - 3*n(s). What is the second derivative of o(p) wrt p?
420*p**3
Let g(t) = t - 1. Let i be g(6). What is the third derivative of -p**4 - 2*p**i - 3*p**2 - 7*p**4 + 8*p**4 wrt p?
-120*p**2
Let z(r) be the third derivative of r**6/60 - r**3 + 4*r**2. What is the first derivative of z(g) wrt g?
6*g**2
Let u(h) = -h + 35. Let x be u(0). Suppose 4*t - x = 1. Find the third derivative of -3*c**2 + 0*c**6 + 5*c**6 - t*c**6 wrt c.
-480*c**3
Find the third derivative of -9*k**3 + 2 - 2 - 23*k**2 + 6*k**2 wrt k.
-54
Let t(c) be the third derivative of 0*c**6 + 0*c**3 + 0*c - 1/24*c**4 + 0*c**5 - 3/112*c**8 - 3*c**2 + 0 + 0*c**7. What is the second derivative of t(k) wrt k?
-180*k**3
Let j(s) = -6*s**3 + 2*s. Let h(b) = -6*b**3 + b. Let u(i) = 5*h(i) - 6*j(i). Find the second derivative of u(z) wrt z.
36*z
Let i = -5 + 7. What is the first derivative of -4*q**2 + 5*q**2 - 2 + 0*q**i wrt q?
2*q
Let p(h) = 6*h**2 + 11*h + 16. Let d(t) = -4*t + 2*t + 0*t - 3 - t**2. Let l = 4 + -2. Let m(u) = l*p(u) + 11*d(u). Find the first derivative of m(g) wrt g.
2*g
Let y(n) = -14*n**2 + 14*n + 21. Let f(r) = r**2 - r - 1. Let h(w) = 21*f(w) + y(w). What is the second derivative of h(b) wrt b?
14
What is the first derivative of -12 - 11*m**3 - 9*m**3 + 17*m**3 wrt m?
-9*m**2
Let n(w) = -15*w**3 + 6*w + 3. Let d(h) = 30*h**3 - 12*h - 5. Let q(v) = 3*d(v) + 5*n(v). What is the second derivative of q(k) wrt k?
90*k
Let p = 25 - 8. Let a(j) = -14*j**2 + 26*j + 17. Let d(b) = -5*b**2 + 9*b + 6. Let g(c) = p*d(c) - 6*a(c). What is the second derivative of g(v) wrt v?
-2
Let l(g) be the third derivative of -g**8/84 + g**4/3 + 24*g**2. Find the second derivative of l(p) wrt p.
-80*p**3
Let l(s) be the first derivative of -s**7/7 - 4*s**3/3 - 5. What is the third derivative of l(a) wrt a?
-120*a**3
Find the second derivative of 20*o + 12*o - 2*o - 3*o**2 - 15*o**2 wrt o.
-36
Let z(u) be the third derivative of 11*u**6/30 + 13*u**4/24 - 11*u**2. What is the second derivative of z(f) wrt f?
264*f
Let o(b) be the third derivative of b**8/48 - b**5/10 + 3*b**2. What is the third derivative of o(q) wrt q?
420*q**2
Let f = -30 + 30. Let c(o) be the second derivative of f - 3*o - 1/6*o**6 + 0*o**3 - 5/12*o**4 + 0*o**2 + 0*o**5. Find the third derivative of c(s) wrt s.
-120*s
Suppose g - 4 = -5*d, 0 = -5*g + d - 10 + 56. Suppose 3*z - g = -0*z. What is the derivative of 1 + s - 3 + z wrt s?
1
Let t(a) be the first derivative of 7*a**6/3 - 2*a**3 + 5*a**2/2 + 63. What is the third derivative of t(q) wrt q?
840*q**2
Let g(c) be the third derivative of -c**5/12 + 11*c**3/6 - 6*c**2. What is the derivative of g(y) wrt y?
-10*y
Suppose -2*l = -5*d + 7, -3*d - l + 2*l = -5. Let i = -50 + 55. What is the second derivative of b**4 - b - i*b + d*b wrt b?
12*b**2
Find the third derivative of -4*k**6 - 3*k**2 - 18*k**6 + k**2 - k**2 wrt k.
-2640*k**3
Let b(n) be the second derivative of 0 + 1/3*n**3 + 1/2*n**2 - n. Find the first derivative of b(v) wrt v.
2
Let q(v) be the second derivative of v**7/210 - 7*v**4/24 + 2*v**3/3 + 4*v. Let u(j) be the second derivative of q(j). What is the derivative of u(x) wrt x?
12*x**2
Let h be 4*4/(48/9). Find the third derivative of -m**4 - m**5 - m**4 + h*m**2 + 2*m**4 wrt m.
-60*m**2
Let g(c) = 2*c**2 - 1 + 2 + c - 5 - c**2. Let j be g(-3). What is the first derivative of -1 - j - 4*a + 3*a + 2*a wrt a?
1
Let s = -9 - -17. Suppose -3*i + 7*i = s. Find the third derivative of -3*l**2 + i*l**2 + 2*l**3 - 4*l**3 wrt l.
-12
Let j = 11 - 8. What is the second derivative of 0*y**5 - 4*y + 2*y**5 + 5*y + j*y wrt y?
40*y**3
Find the third derivative of -h**3 - 8*h**4 - 8*h**2 - 2*h**4 + h**3 wrt h.
-240*h
Suppose 3*d = 5*c - 10, 0*c - 2*c - 2*d = -4. What is the second derivative of h - 2*h - 3*h + h - c*h**2 wrt h?
-4
Let v(x) be the second derivative of 5/2*x**2 - 3*x + 0 + x**3. What is the derivative of v(d) wrt d?
6
Find the third derivative of -f**4 + 15*f**2 - 3*f**4 + 3*f**4 + 5*f**4 wrt f.
96*f
Suppose 3*z - 5 = 7. Differentiate 4*s - 2 + 1 - s**z - 4*s wrt s.
-4*s**3
Find the third derivative of 79 - 79 - 23*n**2 - 7*n**6 wrt n.
-840*n**3
Let i(a) be the first derivative of -2*a**6/3 - 7*a**2 + 18. What is the second derivative of i(x) wrt x?
-80*x**3
Let g = 112 + -47. What is the derivative of -5 - 3*m**3 - g*m**2 + 65*m**2 + 4*m**3 wrt m?
3*m**2
Suppose 10 = -3*x + 43. Let k = x + -7. Find the third derivative of -6*v**k + v**2 + 4*v**4 + v**4 wrt v.
-24*v
Let y = 5 + -3. What is the third derivative of 0*x**3 + 2*x**y + 0*x**3 - x**3 wrt x?
-6
Let n(i) = -3 + 0 + i + 0 + 0. Let f be n(4). What is the derivative of f + 20*u**2 - 3*u**4 - 20*u**2 wrt u?
-12*u**3
Let p be (4/(-5))/(2/(-5)). Suppose 0*f - p*f = 0. What is the first derivative of -2 + 1 + f*s**4 - 2*s**4 wrt s?
-8*s**3
Suppose 12 = -0*v + 2*v. Let i(u) = 2*u**4 - 3*u**3. Let d(h) = -h**4 + 2*h**3 - h**2. Let p(y) = v*d(y) + 4*i(y). What is the third derivative of p(b) wrt b?
48*b
Let g(o) = 2*o - 4. Let q be g(3). Differentiate -3 + 3 - 1 + q*f**2 with respect to f.