Let g(h) = -19*h**2 - 33*h. Let l(v) = 6*v**2 + 11*v. Let m(c) = 4*g(c) + 11*l(c). Find the second derivative of m(t) wrt t.
-20
Suppose -3*b - 5 = -4*b. Find the third derivative of j**2 - 4*j**5 - 4*j**2 - 5*j**b + 6*j**5 wrt j.
-180*j**2
Find the third derivative of -160*o**4 - 156*o**4 + 307*o**4 - 25*o**2 wrt o.
-216*o
Find the second derivative of 5*j - j**3 - 8*j + 17*j**3 wrt j.
96*j
Let c(t) = 46*t**3 + 68*t + 5. Let s(p) = 69*p**3 + 102*p + 7. Let l(o) = 7*c(o) - 5*s(o). Find the second derivative of l(n) wrt n.
-138*n
Let v(c) be the first derivative of c**6/30 + 7*c**4/12 - 6*c + 2. Let l(g) be the first derivative of v(g). What is the third derivative of l(d) wrt d?
24*d
Suppose -7*b + 3*b = -16. What is the first derivative of 6*i**4 - 2*i**4 - 4 - 7*i**b wrt i?
-12*i**3
Let f = -13 + 15. Let p(g) be the first derivative of f - 1/2*g**2 + 0*g + 2/3*g**3. What is the second derivative of p(i) wrt i?
4
What is the first derivative of 0*r + 0*r + 4 - r**4 + 2*r**4 wrt r?
4*r**3
Suppose 4*m = 2*l - 34, 4 = 4*l + 5*m - 12. Find the first derivative of 6*k**3 + l*k**3 - k**3 - 4*k**3 + 9 wrt k.
30*k**2
What is the third derivative of -10*c**2 + 25*c**2 + 17*c**2 + 37*c**4 - 4*c**4 wrt c?
792*c
Let q(j) be the first derivative of 0*j + 0*j**4 + 4 + 0*j**2 + 0*j**5 + 1/3*j**3 + 1/3*j**6. What is the third derivative of q(o) wrt o?
120*o**2
Let k(o) = -10*o**4 - 3*o**3 + 8. Let x(i) = -20*i**4 - 5*i**3 + 17. Let b(h) = -5*k(h) + 3*x(h). Find the first derivative of b(p) wrt p.
-40*p**3
Let z(d) be the first derivative of -d**6/40 + d**5/15 - 3*d**2/2 - 4. Let n(a) be the second derivative of z(a). Find the third derivative of n(b) wrt b.
-18
What is the derivative of 5 + 11*k**4 - 56*k**2 - 5*k**4 + 56*k**2 wrt k?
24*k**3
Let r(s) = -s**3 + 4*s**2 - s. Let o be r(4). Let g = -2 - o. Find the second derivative of -2*u + 4*u + 2*u**g - u wrt u.
4
Let t(d) = -d**2 + d. Let o(n) = -9*n**2 + 6*n - 8. Let s(q) = o(q) - 6*t(q). Differentiate s(i) wrt i.
-6*i
Let y(m) be the first derivative of 2 - 1/2*m**2 - 3*m. What is the derivative of y(l) wrt l?
-1
Suppose -5*s + 3 = -2. Find the second derivative of s - 14*n + 11*n - 1 - 2*n**4 wrt n.
-24*n**2
Suppose -3*t + 0*t = -b + 13, -4*t - 3*b - 39 = 0. Let l be -2*(-3)/t + 3. Find the third derivative of -2*q**3 + 2*q**3 + q**2 + 0*q**l - 2*q**5 wrt q.
-120*q**2
Let c be (-18)/(-8) - 1/4. What is the second derivative of 3*b**2 - 5*b**2 - b + c*b**2 + b**2 wrt b?
2
Let i(l) = -l**2 - 6*l + 1. Let k be i(-5). Suppose o - k*o = -15. Find the third derivative of 2*y**o - 5*y + y**2 + 5*y wrt y.
12
Let c be 26/10 + 6/15. Find the third derivative of 6*p + p**2 - 6*p + 2*p**2 - c*p**4 wrt p.
-72*p
Let v(d) = 4*d**3 - d**2 + 5. Let y be ((-1)/(-2))/(1/2). Let q(x) = x**3 + 1. Let c(i) = y*v(i) - 5*q(i). Find the third derivative of c(u) wrt u.
-6
Let b(t) be the second derivative of 1/20*t**5 + 4*t + 0*t**2 + 1/6*t**4 + 0 + 0*t**3. Find the third derivative of b(h) wrt h.
6
Let l(j) be the first derivative of j**9/1512 - j**5/120 - j**3/3 - 3. Let u(i) be the third derivative of l(i). Find the second derivative of u(v) wrt v.
40*v**3
Let q(u) be the first derivative of 0*u - 3/5*u**5 - 5 + 0*u**2 - 5/3*u**3 + 0*u**4. What is the third derivative of q(z) wrt z?
-72*z
Let c(g) be the second derivative of 2*g**3 - 4*g**2 - 2*g. Differentiate c(j) with respect to j.
12
Let q(r) = -2*r**3 - 3*r**2 + 4. Let x be 3*(2 - 20/6). Let j(m) = -m**3 - 2*m**2 + 3. Let d(z) = x*j(z) + 3*q(z). Find the third derivative of d(y) wrt y.
-12
Let x(a) = -a + 14. Let d be x(11). What is the third derivative of 2*r**3 + 2*r**3 - 3*r**3 - 2*r**d - 5*r**2 wrt r?
-6
Let i(s) be the second derivative of 2*s**6/15 + 49*s**3/6 + s + 3. Find the second derivative of i(v) wrt v.
48*v**2
What is the second derivative of 3*a + 3*a**5 - 3*a + 4*a**5 - 3*a wrt a?
140*a**3
Let b(g) = -41*g**3 - 4*g**2 + 43*g + 4. Let l(y) = -122*y**3 - 11*y**2 + 128*y + 11. Let x(t) = -11*b(t) + 4*l(t). Find the second derivative of x(p) wrt p.
-222*p
Find the third derivative of -35*x**3 - 19*x**2 + 29*x**5 + 35*x**3 wrt x.
1740*x**2
Suppose l = -4*l. Let y(w) be the first derivative of l*w**2 + 0*w - 1/3*w**6 + 0*w**4 + 0*w**5 - 2/3*w**3 + 1. Find the third derivative of y(s) wrt s.
-120*s**2
Suppose m - 3*u + 8 = 0, 2*m - 3*m = 2*u - 7. Let y be m/1 + 0 + 1. Find the third derivative of y*g**2 - 5*g**6 + 4*g**6 + 5*g**6 wrt g.
480*g**3
Let x(o) = o**4 + o**3 + o**2 - o + 1. Let c(q) = q**4 - 2*q**3 + 2*q - 2. Let y(u) = c(u) + 2*x(u). What is the third derivative of y(b) wrt b?
72*b
Let u(f) = -28*f - 47. Let x(m) = 29*m + 47. Let z(v) = 5*u(v) + 6*x(v). Find the first derivative of z(g) wrt g.
34
Suppose -2*o = -3*o + 3. What is the first derivative of 2*r**3 + 6*r**o - 6*r**3 - 3 wrt r?
6*r**2
Let c(p) be the second derivative of -3*p**5/5 - 23*p**3/6 - 16*p. What is the second derivative of c(k) wrt k?
-72*k
Let z = 7 - 9. Let j(i) = 2*i**2 + 4*i + 2. Let k be j(z). What is the derivative of -y**3 - k*y + 2*y + 2 wrt y?
-3*y**2
Let t(h) be the first derivative of -11*h**4/4 + 14*h**3/3 - 20. Find the third derivative of t(p) wrt p.
-66
Let o(i) be the first derivative of 43*i**2/2 - 48*i + 37. Differentiate o(h) with respect to h.
43
Let j(w) = -w - 1. Let l(b) be the second derivative of b**2/2 + 8*b. Let a(c) = 2*j(c) + 5*l(c). Find the first derivative of a(z) wrt z.
-2
Suppose -2*q = -6*q - 2*w + 24, -5*w + 32 = 3*q. What is the second derivative of 5*g**q - 3*g + 5*g**2 + g - 5*g**2 wrt g?
60*g**2
Let h(t) be the third derivative of 0*t + 1/60*t**5 + 0*t**4 - 1/6*t**3 - 2*t**2 + 0. What is the derivative of h(v) wrt v?
2*v
Find the third derivative of -21*p**3 + 65*p**3 - 24*p**3 + 8*p**2 wrt p.
120
Let r(m) = m**5 + m**4 + m. Let l(k) = -k**5 + 10*k**4 + 16*k - 2. Let v(u) = l(u) - 4*r(u). What is the second derivative of v(p) wrt p?
-100*p**3 + 72*p**2
Let k(h) be the second derivative of h**8/2240 + h**5/15 + 5*h**4/12 - 6*h. Let r(q) be the third derivative of k(q). Differentiate r(y) wrt y.
9*y**2
What is the third derivative of 13*f**3 - 11*f**3 + 7*f**2 - 10*f**3 wrt f?
-48
Suppose 0*a = -2*a - 12. Let l(n) = n**2 + 5*n - 4. Let j be l(a). What is the second derivative of -j*u - 2*u**4 + 0*u + u**4 wrt u?
-12*u**2
Suppose 0 = 2*n + 2 - 10. Suppose -q + 3*q - n = 0. Find the first derivative of -t**2 - 4*t**2 + 3*t**q - 2 wrt t.
-4*t
Let c(s) = -6*s**4 + 16*s**2. Let a(f) = 7*f**4 - 16*f**2. Let l(k) = -2*a(k) - 3*c(k). Find the third derivative of l(p) wrt p.
96*p
What is the first derivative of -1485*g + 1485*g - 3*g**4 - 20 wrt g?
-12*g**3
Let v(z) be the third derivative of z**6/30 + z**5/20 - 5*z**4/12 + 37*z**2. What is the second derivative of v(o) wrt o?
24*o + 6
Let l(s) be the first derivative of -2*s**5/5 - 4*s**3/3 - 2. What is the third derivative of l(p) wrt p?
-48*p
Let t(f) = -f**4 + f**2 - f + 1. Let q(x) = -3 + 0*x**2 - 5*x - 2*x + 7 + 4*x**2. Let a(n) = -q(n) + 4*t(n). What is the second derivative of a(o) wrt o?
-48*o**2
Let c be (-2)/(-7) - (-374)/14. What is the third derivative of -4*k**4 + 34*k**2 - c*k**2 - k**4 wrt k?
-120*k
What is the second derivative of 11*l - l + 4*l**4 - 9*l**4 - 2*l wrt l?
-60*l**2
Let o(k) = -k**6 + k**5 - k**4 + k**2. Let m(c) = 13*c**6 - 6*c**5 + 6*c**4 - 9*c**2. Let w(f) = m(f) + 6*o(f). What is the third derivative of w(t) wrt t?
840*t**3
Let t(v) be the first derivative of 4*v - 2 + v**3 - 4*v + v - 1. Differentiate t(m) with respect to m.
6*m
Let k(m) be the second derivative of -m**8/3360 + m**5/40 + m**4/12 - 3*m. Let s(y) be the third derivative of k(y). Find the first derivative of s(q) wrt q.
-6*q**2
Suppose -2*j + 7 = 3*l - 1, -5*l + 12 = 3*j. What is the second derivative of b**4 - 3*b + 4*b + b**5 - b**j wrt b?
20*b**3
Let s(b) = -81*b + 9. Let i(d) be the first derivative of -5*d**2 + d - 2. Let v(w) = 33*i(w) - 4*s(w). What is the derivative of v(t) wrt t?
-6
Find the third derivative of -x**2 - x**4 + 4*x**2 + 8*x**4 + 2*x**2 wrt x.
168*x
Suppose 0 = -4*b - 4 - 4. Let k be (3/(-2))/(b/4). What is the third derivative of 5*n + k*n**4 - 5*n - 3*n**2 + 4*n**2 wrt n?
72*n
Find the third derivative of -2*h**2 + 22*h**3 - 6*h**3 - 2*h**2 + 16*h**2 wrt h.
96
Let l(x) be the 