3*a - 2*a. What is the second derivative of a*v + 4*v**2 - 4*v + 0*v wrt v?
8
Find the third derivative of -6*k**5 + 11*k**2 + 7*k**5 + 3 + 58*k**3 - 14*k**3 wrt k.
60*k**2 + 264
Find the second derivative of 5*n**5 + 3*n**5 + 3*n + 2*n**5 - 2*n**5 wrt n.
160*n**3
Let y(h) be the first derivative of -3 - h**5 - 2*h**3 + 2*h**3 - h**3 - 1. Find the third derivative of y(g) wrt g.
-120*g
Let g(k) = -k**3 + 5*k + 4. Let j(x) = 4*x + 3. Suppose 21 = 4*u + 1. Let t(n) = u*j(n) - 4*g(n). Find the first derivative of t(m) wrt m.
12*m**2
Differentiate -1440*u**3 + 1440*u**3 + 5*u**4 + 50 - 3*u with respect to u.
20*u**3 - 3
Let h(t) be the second derivative of -t**6/6 - 5*t**3/3 + 34*t. What is the second derivative of h(s) wrt s?
-60*s**2
Suppose 10 = 7*l - 2*l. Find the second derivative of -l*k**5 + k**5 + 4*k - 3*k**5 wrt k.
-80*k**3
Suppose 11*z - 17 + 6 = 0. Let k(i) be the first derivative of 0*i + 0*i**4 - 1/3*i**6 + 0*i**5 + 0*i**3 - i**2 + z. Find the second derivative of k(j) wrt j.
-40*j**3
Let i(f) = 161*f**4 - 42*f**3 + 238*f - 42. Let l(o) = -19*o**4 + 5*o**3 - 28*o + 5. Let y(s) = -5*i(s) - 42*l(s). What is the second derivative of y(v) wrt v?
-84*v**2
Let y = 181 + -181. Let k(d) be the third derivative of -4*d**2 + y*d**4 + 0*d**3 + 1/60*d**6 - 1/30*d**5 + 0 + 0*d. What is the third derivative of k(v) wrt v?
12
Let i be 4/8*(0 + 12). What is the third derivative of i*k**4 - 8*k**4 - k**4 + 4*k**2 wrt k?
-72*k
Let m(a) = 8*a**4 - 6*a**3 + 3*a**2. Let x(n) = 7*n**4 - 5*n**3 + 2*n**2. Let q(i) = 5*m(i) - 6*x(i). Find the third derivative of q(o) wrt o.
-48*o
Let o(q) = q**2 - 3*q - 4. Let b be o(4). What is the third derivative of z**2 + 47*z**5 - 56*z**5 + b*z**2 wrt z?
-540*z**2
Find the third derivative of -10*c**2 + c**2 - 2*c**5 + 4*c**5 + c**2 wrt c.
120*c**2
Let y(l) = 5*l**3 - 3*l**2 + 3*l + 2. Let j(g) = 11*g**3 - 5*g**2 + 5*g + 4. Let n(p) = -6*j(p) + 10*y(p). What is the first derivative of n(v) wrt v?
-48*v**2
Let m(r) = -3*r - 4. Let c = -12 - -4. Let u be m(c). Find the first derivative of 19 - 2*b**4 - u + 0*b**4 - 2*b**4 wrt b.
-16*b**3
Let o(l) = -l**6 + l**5 - l**3 - l**2 - l. Let f(x) = -9*x**6 - 4*x**5 + 4*x**3 + 4*x. Let b(z) = f(z) + 4*o(z). Find the third derivative of b(q) wrt q.
-1560*q**3
Let o(d) be the second derivative of d**7/105 + 5*d**4/24 + d**2/2 - 3*d. Let h(g) be the first derivative of o(g). Find the second derivative of h(p) wrt p.
24*p**2
What is the second derivative of -12 - h**3 + 2*h + 12 + 2*h**3 wrt h?
6*h
Let z(t) be the second derivative of -1/3*t**4 + 0*t**3 + 3*t + 0*t**6 + 0*t**5 - 3/56*t**8 + 0*t**7 + 0 + 0*t**2. What is the third derivative of z(c) wrt c?
-360*c**3
Let q(w) = 2*w**3 - 9*w**2 + 4*w. Let s = -6 - -7. Let t(a) = -a**2 + a. Let j(l) = s*q(l) - 4*t(l). Find the third derivative of j(c) wrt c.
12
Let c(j) = 2*j + 1. Let y be c(1). What is the derivative of -p + y*p + 3 - 5*p wrt p?
-3
Suppose 0 = -g - 7 + 1. Let n(l) = l**2 + 6*l + 2 - 2 - 4. Let k(s) = 2*s**2 + 11*s - 7. Let d(z) = g*k(z) + 11*n(z). Differentiate d(i) wrt i.
-2*i
Let c(m) = -28*m + 45. Let j(v) = -29*v + 46. Let k(x) = -3*c(x) + 2*j(x). Find the first derivative of k(s) wrt s.
26
Let w(o) be the first derivative of o**5/120 - o**4/24 - 4*o**3/3 + 4. Let d(l) be the third derivative of w(l). What is the derivative of d(c) wrt c?
1
Let o(f) be the third derivative of -f**9/63 - f**5/60 + 8*f**2. What is the third derivative of o(v) wrt v?
-960*v**3
Let h(t) = -6*t**3 + 3*t**2 - 23*t + 3. Let u(s) = -12*s**3 + 5*s**2 - 45*s + 5. Let f(j) = 5*h(j) - 3*u(j). What is the second derivative of f(a) wrt a?
36*a
Let v(t) be the second derivative of 0*t**2 + t + 0*t**5 - 1/3*t**3 + 0*t**4 + 0 + 1/10*t**6. What is the second derivative of v(x) wrt x?
36*x**2
Let k = 8 + -6. Let r = 7 + -5. What is the third derivative of h**2 - h**k + h**r + h**4 wrt h?
24*h
Let m(t) be the second derivative of -t**5/4 - 11*t**3/3 + 25*t. What is the second derivative of m(o) wrt o?
-30*o
Suppose 4*h - 2*s - 2 = 0, 5*h + 4*s + 2 = -2. Let z(y) be the first derivative of h*y**2 - 1 - 2/3*y**3 - y. Differentiate z(x) with respect to x.
-4*x
Let g(v) = -4*v + 1. Let d(u) = -12*u + 2. Let i(t) = 6*d(t) - 21*g(t). Differentiate i(r) with respect to r.
12
What is the third derivative of 3*g**2 - 12*g**3 - 3*g**3 + 27*g**3 - 5*g**3 wrt g?
42
Let k(p) = 5*p**4 + 4*p**3 - 4*p - 5. Let w(z) = -z**3 - 60 + 0*z**4 + 59 - z**4 + z. Let n(f) = -k(f) - 4*w(f). What is the derivative of n(a) wrt a?
-4*a**3
Suppose 2*v + 2*v - 4 = 0. Suppose -4*h + 9 = v. What is the first derivative of o**2 + 0*o**2 + 3 - 4*o**h wrt o?
-6*o
Let i(f) be the third derivative of 0*f**4 + 0*f + 0*f**5 + 0 - f**2 - 1/120*f**6 - f**3. Differentiate i(w) with respect to w.
-3*w**2
Let l(q) = q**3 + q**2 - 3*q + 1. Let x be l(-3). Let j be (-42)/x + (-1)/4. What is the third derivative of -2*w**j - 7*w**2 - 2*w**3 + 2*w**3 + 8*w**2 wrt w?
-120*w**2
What is the second derivative of 8*b**4 - 28*b**4 - 15*b**4 - 17*b wrt b?
-420*b**2
Let h(i) be the first derivative of 7*i**4/2 - 5*i**2/2 - 25. Find the second derivative of h(u) wrt u.
84*u
Let n(v) be the third derivative of -v**8/3360 + v**5/120 - v**4/8 - v**2. Let f(h) be the second derivative of n(h). Find the first derivative of f(a) wrt a.
-6*a**2
Let a(w) be the first derivative of -8*w**5/5 + 5*w**2 + 3. What is the second derivative of a(b) wrt b?
-96*b**2
Let g(w) be the third derivative of -5*w**9/504 - w**5/10 - 10*w**2. Find the third derivative of g(n) wrt n.
-600*n**3
Let z(w) = -2*w**2 + 4*w + 5. Let h(a) = -a**2 + 2*a + 2. Let d(s) = -5*h(s) + 2*z(s). What is the second derivative of d(j) wrt j?
2
Differentiate 1 - 27 - 52*c**4 + 22*c**4 wrt c.
-120*c**3
Let l(m) be the second derivative of m**6/120 - m**3/2 + 3*m**2/2 - 3*m. Let u(o) be the first derivative of l(o). Differentiate u(d) wrt d.
3*d**2
Suppose 0 = -5*x - 5*a + 30, -2*a - 8 = -x - 4*a. What is the second derivative of -y - x*y + 5*y**2 - 4*y wrt y?
10
Let x(d) = 3*d + 2. Let n(s) = s + 1. Let u be (1 + -1)/((-6)/3). Let m = -1 - u. Let w(h) = m*x(h) + 4*n(h). Differentiate w(v) with respect to v.
1
Suppose -4 = -k - k. Let x be 45/(-3)*(-2)/6. Find the third derivative of k*f**x - 4*f**5 + 5*f**2 - 3*f**2 wrt f.
-120*f**2
Let j(f) = f**6 + f**2 + 1. Let t = -1 - 0. Let v(b) = -9*b**6 - 9*b**2 - 6. Let x(u) = t*v(u) - 6*j(u). What is the third derivative of x(n) wrt n?
360*n**3
Let h(d) be the first derivative of d**7/6 + d**4/3 + 2*d + 1. Let w(s) be the first derivative of h(s). What is the third derivative of w(j) wrt j?
420*j**2
Let i(a) = 11*a**4 + 8*a**2 + 7*a. Let d(x) = -10*x**4 - 7*x**2 - 6*x. Let q(k) = 7*d(k) + 6*i(k). What is the third derivative of q(p) wrt p?
-96*p
What is the first derivative of 2 - 5 + 4 + 0 + 11*a wrt a?
11
Suppose 0 = -k - 0*k. Let t(b) be the second derivative of -1/2*b**2 + b + 0*b**3 + k + 0*b**4 - 1/30*b**6 + 0*b**5. Differentiate t(o) wrt o.
-4*o**3
Let l(t) = -6*t**4 + t**3 - 5*t**2 - t. Let q(s) = -s**4 - s**3 + s. Let u(r) = l(r) + q(r). Find the third derivative of u(j) wrt j.
-168*j
Let r(s) be the first derivative of -7*s**6/120 + s**3 + s**2 - 5. Let u(w) be the second derivative of r(w). Differentiate u(z) wrt z.
-21*z**2
Let r(d) be the third derivative of 2*d**6/15 + 37*d**4/24 + 3*d**2. Find the second derivative of r(w) wrt w.
96*w
Let j(i) = -i + 1. Let s(x) = -4*x**2 - 2*x + 3. Let y(c) = -3*j(c) + s(c). What is the second derivative of y(q) wrt q?
-8
Suppose 3 = 3*q - 3. Find the third derivative of 3*o**2 + q*o**3 - 8*o**3 + 3*o**3 wrt o.
-18
Let t(m) = m. Let i(k) = -3*k**3 + k**2 - 4*k. Let y(v) = -i(v) - 4*t(v). What is the third derivative of y(h) wrt h?
18
Let t(v) = v**3 - v**2 - v - 1. Let w = 11 - 7. Let d(n) = -5*n**3 + 4*n**2 + 4*n - 1. Let s(p) = w*t(p) + d(p). What is the derivative of s(q) wrt q?
-3*q**2
Let n(m) be the second derivative of 0*m**3 - 1/12*m**4 - 1/2*m**2 - 2*m + 0. What is the derivative of n(u) wrt u?
-2*u
Let z(q) = 6*q**4 + 5*q**2 + q - 1. Let t(p) = -p**4 + p**2 + p - 1. Let h(l) = t(l) - z(l). What is the third derivative of h(i) wrt i?
-168*i
Let z(i) = i**2 + 4*i + 5. Let n(f) = -4*f**2 - 12*f - 16. Let o(t) = -5*n(t) - 16*z(t). Find the second derivativ