- x**3/3 + 4*x. Let r(v) be the second derivative of u(v). What is the third derivative of r(i) wrt i?
-6
Let n(p) be the second derivative of 5*p**4/4 - 17*p**2/2 - 2*p. What is the derivative of n(u) wrt u?
30*u
Let y be 3/4 - 162/(-72). Let f(s) be the third derivative of 0*s + 0 + 1/24*s**4 + 1/3*s**y + 2*s**2. What is the derivative of f(c) wrt c?
1
Let t(z) be the second derivative of -z**4/4 - 2*z**3/3 - 8*z. What is the second derivative of t(l) wrt l?
-6
Differentiate 6 + 2*v**2 + 3*v**2 - 12 - v**2 with respect to v.
8*v
Let c(k) = k**3 + k**2 + k - 1. Let u(r) = -12*r**3 - 34*r**2 + 6*r - 6. Let t(g) = -6*c(g) + u(g). Find the third derivative of t(b) wrt b.
-108
Let k(d) = -23*d**4 - 6*d**3 + 4*d**2 - 6*d. Let b(x) = -22*x**4 - 5*x**3 + 5*x**2 - 5*x. Let r(g) = 6*b(g) - 5*k(g). Find the third derivative of r(i) wrt i.
-408*i
Let s be (-1 - 1)*2/(-4). Let d(n) = -n - 4. Let v be d(-8). Find the third derivative of -s + 1 + 2*f**2 + 2*f**v wrt f.
48*f
Suppose 0 = -7*k + 25 - 4. Let p(f) be the second derivative of 1/3*f**k + 3/2*f**2 + 0 - 2*f. Find the first derivative of p(d) wrt d.
2
What is the second derivative of -4*v - 21*v - 329*v**2 + 337*v**2 wrt v?
16
Let h(i) = -2*i**2 - i**2 - 1 - i**3 + 3*i - 2. Let w be h(-4). Find the first derivative of w - 4*m**2 + m**4 + 4*m**2 wrt m.
4*m**3
Find the third derivative of 3*p**5 - 3*p**2 - 6*p**5 + 0*p**5 wrt p.
-180*p**2
Let c(p) be the first derivative of 3*p**4 + 5*p**3/3 + 10. What is the third derivative of c(g) wrt g?
72
Let o(s) = 6*s**4 + 10*s. Let g(b) = -6*b**4 - 10*b. Let i(d) = -4*g(d) - 5*o(d). Find the second derivative of i(m) wrt m.
-72*m**2
Suppose 2*x + 4*w - 2*w - 4 = 0, -3*x = -4*w - 20. What is the second derivative of -n + 5*n + n**x - 2*n wrt n?
12*n**2
Let k be -2*2*6/(-8). Let c(d) = -2*d**2 - 3*d. Let n(y) = -4*y**2 - 5*y + 1. Let q(s) = k*n(s) - 5*c(s). Differentiate q(g) with respect to g.
-4*g
Let a = -11 + 15. Find the second derivative of -g**3 - a*g**3 - 5*g - g - 2*g wrt g.
-30*g
Let f be 11/2 - (-1)/(-2). Let c = f - 3. What is the third derivative of -s**2 + 3*s**5 + 2*s**2 + 0*s**c wrt s?
180*s**2
Let n(o) be the first derivative of o**8/28 - o**4/2 + 5*o - 6. Let h(t) be the first derivative of n(t). Find the third derivative of h(r) wrt r.
240*r**3
Let j(p) be the second derivative of -p**5/5 - 2*p**4/3 + 2*p. Find the third derivative of j(o) wrt o.
-24
Let o(h) = 4*h**3 - 2*h**2 + 9*h + 2. Let i(m) = 9*m**3 - 5*m**2 + 19*m + 5. Let j(n) = -2*i(n) + 5*o(n). What is the second derivative of j(p) wrt p?
12*p
What is the second derivative of 16*b**4 - 7*b**4 + 14*b + 3 - 3 wrt b?
108*b**2
Let o(v) be the first derivative of v**2 + 0*v + 2 - 5/3*v**3. Find the second derivative of o(m) wrt m.
-10
What is the first derivative of 1244*a**3 - 4*a**4 + 2*a**4 - 13 - 1244*a**3 wrt a?
-8*a**3
Find the second derivative of -6*f - 5 - 39*f**4 + 5 wrt f.
-468*f**2
Let a(z) = 8*z**2 - 2*z - 14. Let k(s) = s**2 + s - 1. Let i(h) = 3*a(h) + 6*k(h). What is the derivative of i(f) wrt f?
60*f
Let c(q) be the second derivative of -7*q**4/12 + 4*q**2 - 9*q. What is the derivative of c(b) wrt b?
-14*b
Let s(k) = 4*k**2 + 13*k - 14. Let f(i) = -2*i**2 - 6*i + 7. Let n(d) = -13*f(d) - 6*s(d). What is the first derivative of n(v) wrt v?
4*v
Let m(z) be the second derivative of 0*z**4 + 0 + 0*z**2 - 1/6*z**3 + 4*z - 1/20*z**5. What is the second derivative of m(v) wrt v?
-6*v
Let j(r) be the third derivative of 0 - r**2 - 1/6*r**3 + 0*r + 1/70*r**7 + 0*r**4 + 0*r**6 + 0*r**5. What is the derivative of j(m) wrt m?
12*m**3
Let g(y) be the first derivative of -y**6/60 + y**4/8 + y**2/2 - 3. Let m(w) be the second derivative of g(w). What is the second derivative of m(k) wrt k?
-12*k
Suppose 3*q = -l + 12, -q + 3*q = 2*l + 8. Suppose -4*u = -l*u - 8. Find the third derivative of -z**u - 3*z**3 + 0*z**2 + z**3 wrt z.
-12
Let d be -6*((-8)/6 + 1). Suppose -4*c + d = -6. What is the third derivative of 0*a**c + 2*a**2 - a**4 - a**2 wrt a?
-24*a
Let n(w) be the second derivative of w**9/1008 - w**6/360 + w**3/2 + 3*w. Let d(q) be the second derivative of n(q). What is the third derivative of d(o) wrt o?
180*o**2
Let p(k) be the second derivative of -3*k**4/4 - 7*k**2/2 + 9*k. Differentiate p(s) with respect to s.
-18*s
Let i = 7 + -5. Let l be (-2 - -2)*(1 - i). What is the second derivative of 2*s**2 - s + l*s - s wrt s?
4
Let f be (7/3 - 1)*3. Let w(i) = 12*i**2 - 5*i + 5. Let d(o) = 11*o**2 - 5*o + 4. Let y(s) = f*w(s) - 5*d(s). What is the second derivative of y(q) wrt q?
-14
Let z(x) = 20*x**3 - 10*x + 2. Let o(g) = -g**3 + g. Suppose -4 = 7*m - 11*m. Let v(t) = m*z(t) + 10*o(t). Find the first derivative of v(n) wrt n.
30*n**2
Let z(o) = -2*o - 3. Let w be z(-3). What is the third derivative of -4*d**2 - d**3 + 3*d**2 + 2*d**2 - d**w wrt d?
-12
Find the second derivative of 60*z**2 + 25*z + 18*z - 17*z**2 wrt z.
86
Let x = 8 + -7. Let l be 3 - (-1 + (2 - x)). What is the derivative of -2*b**4 + 2 + l*b + 0*b**4 - 3*b wrt b?
-8*b**3
Let p(l) = -29*l**4 + 3*l**3 - 3*l + 3. Let m(o) = -29*o**4 + 4*o**3 + o**2 - 4*o + 4. Let k(w) = -3*m(w) + 4*p(w). What is the third derivative of k(r) wrt r?
-696*r
Suppose r = -r + 8. Find the third derivative of -5*u**r + 7*u**4 + 0*u**2 + 2*u**2 wrt u.
48*u
Let o(j) = -5*j**3 + 3*j - 5. Let w be 7 + 1 + (-2 - 1). Let z(d) = 5*d**3 - 3*d + 4. Let h(s) = w*z(s) + 4*o(s). Find the second derivative of h(t) wrt t.
30*t
Let j = 5 - 3. Differentiate -3*x - 4 + 4*x - j*x**2 - x wrt x.
-4*x
Let m(t) = -7*t**3 + 3*t**2 + 3*t + 4. Suppose 2 + 7 = 3*z. Let p(f) = -8*f**3 + 4*f**2 + 4*f + 5. Let x(y) = z*p(y) - 4*m(y). Differentiate x(a) wrt a.
12*a**2
Let q(a) = -4 + 0*a + 5*a**2 + 0*a**3 - a**3 + a + a. Let h be q(5). Find the third derivative of -3*t**h - 2*t**2 + 2*t**6 - t**6 - t**6 wrt t.
-360*t**3
Find the third derivative of -34*m**6 + 28*m**2 - 42*m**6 + 89*m**6 wrt m.
1560*m**3
Let y(b) be the first derivative of 3/2*b**2 + 1 + 5*b. Differentiate y(n) wrt n.
3
Let r be (-24)/(-11) - 4/22. Find the third derivative of 2*c**6 + 2*c**5 - 2*c**5 + 3*c**r wrt c.
240*c**3
Let j = 3 - 1. Suppose 4*x = -j + 14. What is the first derivative of -2*d**x - 2 - 1 + 5 wrt d?
-6*d**2
Let w(s) = 26*s**3 - 20*s**2 - 14*s + 177. Let y(q) = -9*q**3 + 7*q**2 + 5*q - 59. Let t(b) = -6*w(b) - 17*y(b). Find the second derivative of t(p) wrt p.
-18*p + 2
Let r(o) = -o**3 + o**2 - 1. Let p(b) = 3*b**3 + 5*b**2 + 1. Let i(t) = -p(t) - r(t). What is the third derivative of i(y) wrt y?
-12
Let c(r) = -11*r**3 + 10*r**2 + 4. Let s(u) = 12*u**3 - 9*u**2 - 3. Let b(t) = -3*c(t) - 4*s(t). Find the third derivative of b(x) wrt x.
-90
Let y(z) be the second derivative of -2/15*z**6 + 1/2*z**4 + 0*z**2 + 0*z**5 + 0*z**3 - 7*z + 0. What is the third derivative of y(t) wrt t?
-96*t
Let y(n) be the third derivative of -1/35*n**7 + 0*n**4 + 0 + 0*n + 0*n**6 - 2/3*n**3 - n**2 + 0*n**5. Differentiate y(k) wrt k.
-24*k**3
Let c(f) be the first derivative of 4*f**3 - f**2 + 21*f - 34. Find the second derivative of c(t) wrt t.
24
Differentiate 16*l**2 + 993*l - 9 - 993*l wrt l.
32*l
Let t(c) be the third derivative of -8*c**2 + 0*c**3 + 0*c**7 + 0*c**5 + 0 + 1/56*c**8 + 0*c**6 - 1/8*c**4 + 0*c. What is the second derivative of t(p) wrt p?
120*p**3
Let w(m) be the first derivative of -21*m**4/4 + 37*m - 8. What is the first derivative of w(b) wrt b?
-63*b**2
Let w(m) be the second derivative of -3*m**5/20 + m**3/6 + 10*m. Find the second derivative of w(z) wrt z.
-18*z
Suppose 0 = -2*z - 2*z + 20. What is the first derivative of -z + 8 + 10 + i - 4 wrt i?
1
Let k(y) be the first derivative of 0*y**2 + 3/4*y**4 + y**3 + 0*y + 4. What is the third derivative of k(s) wrt s?
18
Let u(d) = 29*d + 38. Let p(k) = 57*k + 76. Let x(y) = 6*p(y) - 11*u(y). Differentiate x(g) wrt g.
23
Let x(q) = 126*q**3 + 99*q + 324. Let i(m) = -5*m**3 - 4*m - 13. Let v(h) = 99*i(h) + 4*x(h). What is the derivative of v(u) wrt u?
27*u**2
Suppose 6 = -2*z + 5*c, 4*c = -5*z - 1 + 19. What is the third derivative of -3*y**z + 9*y**6 - 14*y**6 + 8*y**2 wrt y?
-600*y**3
Let x(s) be the second derivative of 0*s**5 + 0*s**3 + 0*s**4 + 0 - 11/2*s**2 - 7*s - 4/15*s**6. What is the derivative of x(g) wrt g?
-32*g**3
