- 2/3*l**3. What is the first derivative of r(q) wrt q?
-4
Let m(g) = -g**3 - 3*g**2 - 2*g. Let p be m(-2). Let n be 1 - -1 - (-1 + p). Find the second derivative of -3*y + n*y - 2*y**4 + 2*y wrt y.
-24*y**2
Let w(p) be the third derivative of 19*p**9/504 - p**5/2 - 6*p**2. Find the third derivative of w(o) wrt o.
2280*o**3
Let u(f) = -3*f**4 + 4*f**2 - 4*f + 5. Let j(q) = -q**2 + q - 1. Let b(p) = 4*j(p) + u(p). What is the derivative of b(y) wrt y?
-12*y**3
What is the second derivative of -14*m**5 + 205*m**4 - 11*m - 205*m**4 wrt m?
-280*m**3
Let n(i) be the second derivative of i**6/6 + 4*i**3/3 + 2*i. What is the second derivative of n(p) wrt p?
60*p**2
Let i(u) be the first derivative of 3*u + 0*u**3 + 3 + 0*u**2 - 1/4*u**4. What is the derivative of i(m) wrt m?
-3*m**2
Let y(q) be the second derivative of -7*q**6/15 + 3*q**4/2 - 6*q. Find the third derivative of y(n) wrt n.
-336*n
Let n = 9 - 9. Let q(l) be the third derivative of 0*l - 1/3*l**3 + 0 + n*l**4 + 1/105*l**7 - l**2 + 0*l**6 + 0*l**5. Differentiate q(c) wrt c.
8*c**3
Let h(a) be the first derivative of 9*a**3 + 10*a**2 - 28. Find the second derivative of h(s) wrt s.
54
Let i(n) = -2*n**4 - 5*n**3 - 19*n**2 - 5*n + 5. Let t(z) = -z**3 - z + 1. Let k(x) = i(x) - 5*t(x). What is the third derivative of k(v) wrt v?
-48*v
Let a(b) be the third derivative of 0*b**5 + 0*b**4 + 0*b + 1/120*b**6 + b**2 - 1/6*b**3 + 0. What is the first derivative of a(u) wrt u?
3*u**2
Let i be (-2)/5*(-5)/4. Let s(c) be the first derivative of 0*c + i*c**2 + 1/3*c**3 - 2. What is the second derivative of s(x) wrt x?
2
Differentiate 5 + 27*w**2 + 17*w**4 - 27*w**2 wrt w.
68*w**3
Let w(p) be the third derivative of -37*p**5/60 + 11*p**4/24 + 6*p**2. Find the second derivative of w(y) wrt y.
-74
Let f(v) = -26*v**3 - 14*v**2 - 64*v - 14. Let c(u) = 5*u**3 + 3*u**2 + 13*u + 3. Let o(h) = -14*c(h) - 3*f(h). Find the second derivative of o(l) wrt l.
48*l
Let a(b) = -b**3 + 6*b**2 - 5*b + 3. Let l be a(5). What is the second derivative of -6*d**3 + l*d**3 + d + 3*d + d**3 wrt d?
-12*d
Find the second derivative of 6*i - 2*i**5 - 3*i - 4*i wrt i.
-40*i**3
What is the third derivative of -4*b**2 + 6*b**4 + 7*b**2 - 6*b**2 wrt b?
144*b
Let s(v) = -1 + v + v**3 - v**3 + v**2 - 9*v**3. Let q(t) = -t**3 + t**2 - 1. Let u(f) = -q(f) + s(f). Find the second derivative of u(l) wrt l.
-48*l
Let d(o) = o - 1. Let w(t) be the first derivative of 2*t**3/3 + 5*t + 3. Let z(s) = -5*d(s) - w(s). What is the second derivative of z(f) wrt f?
-4
Find the first derivative of -12*o - 50 - 18*o + 21*o + 47*o wrt o.
38
Let g(k) be the first derivative of -1 + 4*k**2 - 3*k + 6*k - 5*k**2 - 2*k. Differentiate g(u) with respect to u.
-2
Let p = -1 - -2. Suppose 2*x - 5*z + 21 = 0, 2*x - 2*z + 5*z = 19. What is the first derivative of p + b**3 - 4 - x*b**3 wrt b?
-3*b**2
What is the second derivative of -43 - d**4 - 6*d + 43 wrt d?
-12*d**2
Let r(i) = 19*i**2 - 3*i - 15. Let o(q) = -19*q**2 + 4*q + 15. Let z(y) = 3*o(y) + 4*r(y). What is the derivative of z(w) wrt w?
38*w
Suppose 3*n + 17 = 4*j, -2*n - 9 = -2*j + 1. What is the third derivative of 5*x**j - 3*x**3 + 2*x**3 + x**2 wrt x?
-6
Differentiate 5*c**4 - 4 + 9 + 4 with respect to c.
20*c**3
Let o be 4/10 - 96/(-10). Let b = -6 + o. Find the first derivative of 1 - b*q**3 - 3 + 2*q**3 wrt q.
-6*q**2
Let p(r) be the second derivative of 13*r**7/42 + 4*r**3 + 45*r. What is the second derivative of p(b) wrt b?
260*b**3
Let v be -4*((-15)/(-6))/(-5). Find the second derivative of 0*t + 4*t + 3*t**v - 2*t wrt t.
6
Let d(q) be the third derivative of q**6/40 - q**5/60 - 2*q**2. Let r be d(1). What is the third derivative of -r*t**5 + t**5 + 0*t**5 - 2*t**2 wrt t?
-60*t**2
Find the second derivative of -3*u - 29*u**5 + 24*u**5 + 0*u wrt u.
-100*u**3
Let d be (-6)/32*2*8/(-4). Let k(u) be the first derivative of 0*u**2 + 0*u - 2/3*u**3 - 1 + d*u**4. What is the third derivative of k(j) wrt j?
18
Let l(f) = f**3 + 11. Let n(w) = 23 + 2*w**3 + 22*w**2 + 0*w**3 - 22*w**2. Let k(q) = 13*l(q) - 6*n(q). What is the first derivative of k(a) wrt a?
3*a**2
Suppose -19 = 5*t - 3*s, s - 6*s = -3*t - 5. Let a(w) = w**3 + 5*w**2 + 4. Let n be a(t). Find the first derivative of 2*p**n - 5 + 2 - 1 wrt p.
8*p**3
Let u be (-34)/5 + 4/(-20). Let k = -7 - u. Find the second derivative of 3*n + 0*n**5 - 4*n + 3*n**5 + k*n wrt n.
60*n**3
Find the second derivative of 1696*q**3 - 1696*q**3 - 13*q**5 - 6*q wrt q.
-260*q**3
Let k(f) be the second derivative of f**7/35 - f**4/6 + f**2 + 3*f. Let g(t) be the first derivative of k(t). Find the second derivative of g(z) wrt z.
72*z**2
Suppose 0 = 7*o - 3*o - 16. Let u(w) = -w**3 - 3*w - 2. Let j(i) = -2*i**3 - 4*i - 2. Let y(f) = o*u(f) - 3*j(f). Differentiate y(p) with respect to p.
6*p**2
Let w(g) = 2*g**3 + 6*g**2. Let x(f) = -f**3 + f**2. Let l(s) = w(s) - 5*x(s). Find the third derivative of l(t) wrt t.
42
Let l(g) be the first derivative of 7*g**4/4 + 7*g**3/3 - 11. What is the third derivative of l(y) wrt y?
42
Let d be (-7 + 2)*3/(-5). What is the first derivative of -1 + 5 - 2*g**3 + g**d wrt g?
-3*g**2
Suppose 2 = -5*g + 4*r + 27, 2*g - 5*r = 10. Suppose 5*p = 3*j + 2*p - 3, -3*p - g = -4*j. What is the first derivative of 2*z - j*z - 1 - z**3 wrt z?
-3*z**2
Suppose -s = -0*s. Let q be (8/(-10))/((-18)/45). Find the third derivative of x**2 + s*x**3 + 0*x**q + 2*x**3 wrt x.
12
Let w(h) be the third derivative of 0 + h**2 + 0*h + 1/12*h**4 + 1/120*h**6 + 0*h**5 + 0*h**3. Find the second derivative of w(d) wrt d.
6*d
Let l(h) = -4*h**4 - 16*h**3 - 21*h - 3. Let u(j) = j**4 + 4*j**3 + 5*j + 1. Let o(w) = -2*l(w) - 9*u(w). What is the second derivative of o(y) wrt y?
-12*y**2 - 24*y
Let v(m) = 36*m**5 - 2*m**4 + 2*m**2 - 20*m - 2. Let d(u) = -u**4 + u**2 - 1. Let i(z) = 2*d(z) - v(z). Find the second derivative of i(x) wrt x.
-720*x**3
Let l(y) be the second derivative of 0*y**2 + 2/15*y**6 - 1/6*y**4 - y + 0*y**5 + 0 + 0*y**3. Find the third derivative of l(j) wrt j.
96*j
Suppose a + a = 10. Suppose a*k = 5, -3*k - 2*k - 1 = -3*l. What is the second derivative of -2*p - p**l + 4*p + p wrt p?
-2
Let w(z) be the second derivative of 17*z**5/20 + 7*z**4/12 + 18*z. What is the third derivative of w(p) wrt p?
102
What is the second derivative of 21*l**3 + 107*l**2 - 107*l**2 + 17*l wrt l?
126*l
Suppose 0 = 3*c - 9 - 3. What is the second derivative of c*z**2 - 6*z + z + z wrt z?
8
Let p(r) be the first derivative of -6 - r**2 + 0*r + 0*r**3 - 1/4*r**4. What is the second derivative of p(v) wrt v?
-6*v
Let x(g) = -5*g - 8. Suppose t = -5*u + 23, -t = 2*u - 6 - 5. Let v(p) = -3*p - 4. Let y(k) = u*x(k) - 7*v(k). Differentiate y(a) with respect to a.
1
Let u(x) be the third derivative of x**4/6 + 19*x**3/6 + 5*x**2. What is the first derivative of u(z) wrt z?
4
Let c(n) = -n**2 + 10. Let j(b) = -9*b**2 + 99. Let f(q) = -21*c(q) + 2*j(q). What is the derivative of f(w) wrt w?
6*w
Let q(x) = -3*x**2 - 9*x - 6. Let b(m) = m + 1. Let w(l) = -30*b(l) - 5*q(l). Find the second derivative of w(f) wrt f.
30
Let r(s) = 6 + s - s**2 - 3*s - 3*s - 2*s**2 + s**3. Let m be r(4). Differentiate m*i**2 + 4 + 0 - 1 wrt i.
4*i
Let d(m) be the third derivative of -11*m**8/336 + 7*m**5/30 + 2*m**2. Find the third derivative of d(h) wrt h.
-660*h**2
Let k(z) be the first derivative of z**5/5 + z**3/3 - 7. What is the third derivative of k(c) wrt c?
24*c
Let v = 2 - 0. Differentiate 2*l**v - 3*l**2 + l**2 + 1 + 2*l**2 wrt l.
4*l
Let f(t) be the second derivative of -t**5/5 + 5*t**4/12 + t. Find the third derivative of f(i) wrt i.
-24
Let o(z) be the third derivative of -z**7/105 - z**5/10 - 17*z**2. What is the third derivative of o(f) wrt f?
-48*f
Let a(c) be the third derivative of -2*c**2 + 7/6*c**3 - 5/12*c**4 + 0*c + 0. What is the derivative of a(s) wrt s?
-10
Let t be 0/(-1 - 1*-2). Suppose 0 = -w - w + 3*g, -4*w - 5*g + 22 = t. Find the second derivative of x - 1 - 3*x**3 + w - 2 wrt x.
-18*x
Let i(q) be the third derivative of q**2 + 0 + 1/6*q**4 + 0*q**6 + 0*q**5 + 0*q - 1/105*q**7 + 0*q**3. Find the second derivative of i(o) wrt o.
-24*o**2
Let u(f) = -f**3 - f + 1. Let b(n) = n**4 - 5*n**3 - 11*n + 5. Let h(z) = b(z) - 5*u(z). Find the second derivative of h(r) wrt r.
