*l - 8. Let o(y) be the first derivative of -y**3/3 + y - 1. Let p(m) = f(m) + 8*o(m). Find the second derivative of p(v) wrt v.
4
Let c(o) be the first derivative of 4*o**5/5 - o**4/2 - 5*o**3/3 + 2*o - 41. What is the third derivative of c(q) wrt q?
96*q - 12
Let u(g) = -7*g - 11. Let k(t) = 13*t + 21. Let h(b) = -6*k(b) - 11*u(b). Differentiate h(s) with respect to s.
-1
Let k(l) be the second derivative of -1/3*l**3 + 0*l**2 - 1/4*l**4 + 0 + 2*l. What is the second derivative of k(q) wrt q?
-6
Let g be 11/4 + (-6)/8. Let f = g + 0. What is the derivative of -2 + 2*x**2 + 3 + 0*x**f wrt x?
4*x
Let c be (6/4)/((-42)/(-56)). Differentiate -2 + 1 + 1 + c*m**3 - 3 wrt m.
6*m**2
Let n(c) be the second derivative of c**7/6 + 17*c**3/6 + 17*c. Find the second derivative of n(m) wrt m.
140*m**3
Differentiate 41 - 45*d + 45*d - 28*d**2 - 2 wrt d.
-56*d
Let j(c) be the second derivative of -c**5/10 + 3*c**2/2 - 11*c. What is the derivative of j(b) wrt b?
-6*b**2
Let x(g) be the second derivative of 0*g**6 + 0 + 1/2*g**3 + 0*g**5 + 2*g + 0*g**2 + 1/14*g**7 + 0*g**4. Find the second derivative of x(y) wrt y.
60*y**3
Suppose -s = 2*s - 6. Let k be (5/15)/(s/30). Let a(p) = 4*p**2 + 3. Let u(h) = 2*h**2 + 1. Let o(j) = k*u(j) - 2*a(j). Differentiate o(b) wrt b.
4*b
Let k(x) be the first derivative of 2*x + 1 + 1/5*x**5 + 0*x**3 + 0*x**4 + 0*x**2. Differentiate k(b) wrt b.
4*b**3
Let y(x) be the second derivative of 3*x**5/20 + 5*x**3/6 + 6*x. Find the second derivative of y(t) wrt t.
18*t
Let r(x) be the third derivative of 5*x**9/504 - x**6/24 + 7*x**5/60 - x**3/2 - 17*x**2 - 2. Find the third derivative of r(c) wrt c.
600*c**3 - 30
What is the derivative of -15*x**2 + 3 - 10*x**2 + 5*x**2 + 28 wrt x?
-40*x
Let v(c) = 2*c**2 + 3*c + 6. Let i = -16 - -14. Let f(u) = 3*u**2 + 2*u + 6. Let q(l) = i*v(l) + 3*f(l). What is the first derivative of q(r) wrt r?
10*r
Let s(g) be the third derivative of -1/60*g**6 + 1/60*g**5 + 0*g**4 - 3*g**2 + 0 + 0*g**3 + 0*g. Find the third derivative of s(n) wrt n.
-12
Let h(x) be the third derivative of -5*x**2 + 1/2*x**3 + 0 - 1/15*x**5 + 0*x + 0*x**4. Differentiate h(t) with respect to t.
-8*t
Let p(y) = 7*y**3 + y**2. Let z be p(-1). Let h(a) = a**2 - 3*a - 6. Let r be h(z). What is the first derivative of -1 + r*v - 48*v - v**3 wrt v?
-3*v**2
Find the second derivative of 28*o**2 - 20*o + 16 - 9*o**2 - 16 wrt o.
38
Let n(f) be the third derivative of -f**4/24 + 2*f**3/3 + 9*f**2. Differentiate n(r) wrt r.
-1
Let h(v) be the second derivative of v**4/3 - v**3/6 + 18*v**2 + 33*v. Differentiate h(d) with respect to d.
8*d - 1
Let j(m) = 8*m**4 + 29*m. Let d(i) = -9*i**4 - 30*i. Let s(a) = 4*d(a) + 5*j(a). What is the second derivative of s(n) wrt n?
48*n**2
Let d = 1 + 1. What is the first derivative of -4*k**d + 4*k**2 + 0*k**4 + 4*k**4 - 5 wrt k?
16*k**3
Suppose -5*s + 32 = -4*k + 5*k, 4*s - 30 = -3*k. Find the third derivative of 2*q**4 + q**4 + q**2 - s*q**4 wrt q.
-72*q
Let k(a) be the second derivative of a**4/2 - 2*a**3/3 - 8*a. What is the second derivative of k(c) wrt c?
12
Suppose 2*a + 2*t - t = -11, t = 4*a + 37. Let m = -6 - a. Find the third derivative of -2*r**3 + 4*r**2 - m*r**2 + 3*r**3 wrt r.
6
Let c(a) be the second derivative of a**7/420 - a**5/120 - 2*a**3/3 + a. Let i(m) be the second derivative of c(m). Find the second derivative of i(o) wrt o.
12*o
Let b = -7 + 11. Find the second derivative of -2*r - 2*r + b*r - 4*r**2 + 4*r wrt r.
-8
Let c(j) be the second derivative of -j**4/12 - j**3/6 + j**2/2 + 2*j. Let y(i) = -i - 2. Let a(q) = -2*c(q) - y(q). Find the second derivative of a(o) wrt o.
4
Let f(m) be the second derivative of m**3/3 - m**2 + 5*m. Find the first derivative of f(k) wrt k.
2
Let k(w) be the second derivative of w**3/6 - w**2 + w. Let m(f) = -2*f + 2. Let y(b) = 3*k(b) + 4*m(b). Find the first derivative of y(i) wrt i.
-5
Let q be (6 + 0)*4/8. Find the first derivative of -5 + p**3 - 2*p**3 - 2*p**q wrt p.
-9*p**2
Let u(b) be the third derivative of 13*b**7/70 + 19*b**4/12 + b**2. Find the second derivative of u(h) wrt h.
468*h**2
What is the third derivative of 123*n**2 + 45*n**3 - 220*n**2 + 111*n**2 wrt n?
270
Let z(k) = k**3 - 5*k**2 - 7*k + 9. Let w be z(6). What is the third derivative of 3*d**5 - 3*d**5 + w*d**5 + d**2 wrt d?
180*d**2
Let f(g) be the second derivative of -23*g**8/56 + 5*g**4/6 - 8*g. Find the third derivative of f(c) wrt c.
-2760*c**3
Let d be 5*(-5)/((-50)/6). Find the second derivative of 4*w**3 - 4*w + 2*w**4 - 4*w**d wrt w.
24*w**2
Suppose 5*i = 3*z + 2 + 2, -z + 10 = 4*i. Find the second derivative of -4*w - i*w**2 - 1 - 3 + 4 wrt w.
-4
Let b(n) = -22*n - 30. Let p(g) = 21*g + 30. Let d(r) = -5*b(r) - 4*p(r). Find the first derivative of d(x) wrt x.
26
Let s(d) be the first derivative of -11*d**4/2 + 2*d - 6. Differentiate s(i) wrt i.
-66*i**2
Find the third derivative of 4*w**3 + w**3 - 4*w**2 - 20*w**3 + 13*w**2 wrt w.
-90
Let h(s) be the third derivative of s**6/12 - 13*s**4/12 + 21*s**2. Find the second derivative of h(i) wrt i.
60*i
Suppose 4*g + 11 + 21 = -5*o, 3*o + 32 = 4*g. Let a = -2 - o. What is the second derivative of b + 4*b - a*b - b**2 wrt b?
-2
Let z(g) = g**3 - 9*g**2 + 11. Let p be z(9). Let h = -8 + p. What is the second derivative of o**4 + 0*o - 2*o + h*o - 4*o wrt o?
12*o**2
Let k(h) be the second derivative of -7*h**5/20 + 7*h**2 + 23*h. Differentiate k(p) wrt p.
-21*p**2
Find the first derivative of 17*o + 3*o - 34 + 4*o + 5*o wrt o.
29
Let l(k) be the first derivative of 2*k**6 + k**2/2 - 8. Find the second derivative of l(p) wrt p.
240*p**3
Let y(b) = 0*b**2 + 0*b**2 + 0*b**2 - b**2. Let v(n) = 3*n**4 - 13*n**2. Let h(q) = v(q) - 6*y(q). Find the third derivative of h(o) wrt o.
72*o
Let n = 5 + 0. What is the second derivative of -n*r**3 - 2*r - 2*r + 2*r**3 wrt r?
-18*r
Let w be 3/(-15) - 63/(-15). Let d(b) = -b**2 - 6*b + 9. Let r be d(-7). Differentiate u**2 - u**2 - r - 2*u**w wrt u.
-8*u**3
Let r(a) be the second derivative of 17*a**4/12 - 10*a**3/3 + 28*a. What is the second derivative of r(i) wrt i?
34
Let n(x) be the second derivative of x**6/120 + 5*x**4/24 + 2*x**3/3 + 5*x. Let d(v) be the second derivative of n(v). Differentiate d(a) with respect to a.
6*a
Let u(t) = 19*t**3 - 4*t**2 + 30*t - 4. Let c(k) = 57*k**3 - 11*k**2 + 89*k - 11. Let o(s) = -4*c(s) + 11*u(s). What is the second derivative of o(h) wrt h?
-114*h
Let x(y) = 9*y**4 + 17. Let k(p) = 6*p**4 + 11. Let h = 2 + -7. Let o(n) = h*x(n) + 8*k(n). Find the first derivative of o(z) wrt z.
12*z**3
Let j(k) be the first derivative of k**8/840 + k**4/8 + 4*k**3/3 + 2. Let l(d) be the third derivative of j(d). Find the first derivative of l(q) wrt q.
8*q**3
Let z(v) be the first derivative of 7*v**4/4 - 12*v + 5. Differentiate z(h) wrt h.
21*h**2
Suppose -6 + 0 = -2*t. Find the second derivative of 2*d**2 + t*d + 5*d - 3*d - 2*d wrt d.
4
Let n be 0/((-3)/(-1 - -4)). Let r(z) be the second derivative of -z + n - 1/2*z**2 + 1/3*z**3. What is the derivative of r(k) wrt k?
2
Differentiate 1 - 10 - 10*p**4 + 29*p**4 with respect to p.
76*p**3
Let p(q) = q**3 - q**2 - q + 1. Let n(o) = 28*o**3 + o**2 - 9*o + 9. Let s(y) = 2*n(y) - 18*p(y). Find the third derivative of s(i) wrt i.
228
Let b(l) = l**2 - 2*l - 3. Let u be b(3). Suppose u*x = -5*x. What is the first derivative of 6 - 2*c - 5 + 5*c + x wrt c?
3
Let i(v) be the second derivative of -v**6/10 + 2*v**4/3 + 11*v. What is the third derivative of i(u) wrt u?
-72*u
Let z(c) be the first derivative of 49*c**3/3 + c**2/2 - 2*c + 35. What is the second derivative of z(i) wrt i?
98
Let z(u) be the third derivative of -2*u**7/105 + u**5/4 + 29*u**2. What is the third derivative of z(j) wrt j?
-96*j
Let b(a) be the third derivative of a**7/840 + a**6/360 + 2*a**3/3 - a**2. Let n(p) be the first derivative of b(p). Find the third derivative of n(f) wrt f.
6
Let b(x) = x + 4. Let d be b(-3). Let q be 12/8 + d/2. Find the second derivative of -q*m + 0*m - m**2 + 2*m**2 wrt m.
2
Suppose -2*d = 2 - 8. Let k(z) be the third derivative of -1/120*z**6 + 0*z + 0 + 0*z**4 - 2*z**2 + 1/60*z**5 + 0*z**d. Find the third derivative of k(p) wrt p.
-6
Let d(l) = 2*l**2 - 6*l + 1. Let v be d(4). Let g = v - 6. What is the second de