et l(c) be the third derivative of -c**5/30 - 2*c**3/3 + 3*c**2. What is the first derivative of l(a) wrt a?
-4*a
Let p(g) be the second derivative of -g**7/504 - g**5/120 + g**4/2 - g. Let w(z) be the third derivative of p(z). Find the first derivative of w(v) wrt v.
-10*v
Let w(t) be the second derivative of 7*t**5/10 - 5*t**2/2 + 19*t. What is the first derivative of w(v) wrt v?
42*v**2
Let b(w) = w + 15. Let u be b(-6). What is the second derivative of 11*j - 2*j + 2*j**2 - u*j**2 wrt j?
-14
Find the second derivative of 3*k**3 - 587*k + 591*k - 3*k**3 - 8*k**4 wrt k.
-96*k**2
Let c = -203 - -205. Let f(w) be the second derivative of -1/3*w**3 - w**c + 0 + w. What is the first derivative of f(s) wrt s?
-2
Differentiate 13 - 9*f**3 + 24 - 4*f**3 - f**2 wrt f.
-39*f**2 - 2*f
What is the second derivative of -6*q**5 - 112*q + 123*q - 6*q**5 wrt q?
-240*q**3
Let b(f) be the second derivative of 5*f**4/12 + f**2/2 - 5*f. Differentiate b(y) wrt y.
10*y
Let i(u) be the second derivative of 3*u**5/5 - u**4/4 + 19*u**3/2 - u**2/2 - 41*u. Find the second derivative of i(l) wrt l.
72*l - 6
Suppose 8 = 2*i - 4*u, -3*u + 0 - 3 = 0. Suppose -i*t + 4 = 0, t + 23 = 3*o + 5*t. Find the second derivative of o*h**5 - 5*h**5 - 3*h**5 + h wrt h.
-60*h**3
Let l(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z**7 + 1/168*z**8 + 1/12*z**4 - z**2 + 0 + 0*z + 0*z**3. Find the second derivative of l(m) wrt m.
40*m**3
Let i = -8 + 11. Find the third derivative of 9*a**2 - 2*a**4 - a**4 + 7*a**4 - i*a**2 wrt a.
96*a
Let c(r) be the second derivative of 5/42*r**7 + 0*r**3 - 6*r + 2/3*r**4 + 0*r**5 + 0 + 0*r**6 + 0*r**2. Find the third derivative of c(y) wrt y.
300*y**2
Let m(t) be the first derivative of 2*t**6/15 - t**2/2 - t + 1. Let r(z) be the first derivative of m(z). Find the first derivative of r(c) wrt c.
16*c**3
Let m(x) be the second derivative of -x**6/360 + x**5/40 - 7*x**3/6 + 7*x. Let t(d) be the second derivative of m(d). Find the second derivative of t(w) wrt w.
-2
Let a(k) = k**3 + 4*k**2 + 2*k - 1. Let x be a(-3). Suppose 3*d - 2*d = x. What is the third derivative of -m - m**6 + m - 2*m**d wrt m?
-120*m**3
Let q(m) = 15*m**2 - 33*m. Let p(h) = 8*h**2 - 17*h. Let x(w) = -5*p(w) + 3*q(w). What is the second derivative of x(u) wrt u?
10
Suppose -2*o - 3*o + 100 = 0. Suppose -8 = -0*f - 3*f - u, -u = -4*f + o. Find the third derivative of -5*r - 2*r**2 + 5*r - 3*r**f wrt r.
-72*r
Differentiate 27 - 31 - 11*h**4 + h**4 with respect to h.
-40*h**3
Let s(w) be the first derivative of w**5/20 + 2*w**3/3 - 4*w + 5. Let o(i) be the first derivative of s(i). Find the second derivative of o(n) wrt n.
6*n
Let r(t) be the third derivative of 11*t**9/504 + 13*t**5/60 + 11*t**2. What is the third derivative of r(k) wrt k?
1320*k**3
Suppose 0 = 5*q - 6*q. Let g(f) be the second derivative of q - f - 1/3*f**3 - 1/2*f**2. What is the derivative of g(t) wrt t?
-2
Let p = 6 - 12. Let j(k) = -4*k**2 + 6*k - 3. Let o(f) = -4*f**2 + 5*f - 3. Let x(v) = p*o(v) + 5*j(v). Differentiate x(t) with respect to t.
8*t
Let n(q) = 1 - 10 - 13*q + 5*q. Let m(h) = -17*h - 19. Let o(p) = 6*m(p) - 13*n(p). Differentiate o(s) with respect to s.
2
Suppose -2*q = -4*c - 20, q - c - 3 = 3. Differentiate 6*i**q + 6*i**4 - 8 - 6*i**2 wrt i.
24*i**3
Let m be -3*2*4/(-6). Let f = -2 + 4. What is the first derivative of 6 - m - f*j + j wrt j?
-1
Let m(q) = 3*q**2 + 6*q + 5. Let t = 12 + -19. Let k(x) = -4*x**2 - 7*x - 6. Let i(v) = t*m(v) - 6*k(v). Differentiate i(j) wrt j.
6*j
Suppose 0 = 4*k + 3*u - 33, 0*u = 4*k - 2*u - 18. Suppose 8 = k*o - 2*o. What is the derivative of -h**2 - 2*h**2 - 9 + 2*h**o + 6 wrt h?
-2*h
Let v(q) be the third derivative of 5*q**4/24 + 11*q**3/6 + 10*q**2. What is the first derivative of v(j) wrt j?
5
Let i(k) be the second derivative of k**3/2 - 3*k**2/2 + 7*k. Differentiate i(t) wrt t.
3
Let q(o) = o**3 + o**2 + o - 1. Let w(n) = 10*n**3 - 5*n**2 + 8*n + 5. Let k(c) = -5*q(c) - w(c). What is the second derivative of k(z) wrt z?
-90*z
Let m(n) be the second derivative of 5*n**4/3 + 5*n**3/3 + 21*n. What is the second derivative of m(t) wrt t?
40
Let o(a) = 25*a**3 - 86*a**2 - 17. Let l(g) = 8*g**3 - 29*g**2 - 6. Let j(z) = -17*l(z) + 6*o(z). What is the third derivative of j(i) wrt i?
84
Let m(l) be the third derivative of -1/20*l**5 + 0 + 0*l + 5*l**2 - 3/8*l**4 + 0*l**3. Find the second derivative of m(a) wrt a.
-6
Let v(g) = -4*g + 6. Let u = 24 - 17. Let q(n) = n**2 + 7*n - 11. Let l(o) = u*v(o) + 4*q(o). What is the first derivative of l(j) wrt j?
8*j
What is the second derivative of 2*g**2 + 9*g - 17*g**3 - 2*g**2 wrt g?
-102*g
Let h(x) be the third derivative of -x**7/105 + x**4/24 - 7*x**2. What is the second derivative of h(j) wrt j?
-24*j**2
What is the first derivative of -3 - 2*m - 5*m - m - 5 wrt m?
-8
Suppose 0 = 4*t - 11 + 3. Find the second derivative of 92*m**2 - 92*m**t - 5*m**4 - 4*m wrt m.
-60*m**2
Let u(o) = -7*o**2 - 13*o - 6. Let f(s) = 13*s**2 + 25*s + 11. Let a(p) = 6*f(p) + 11*u(p). Find the second derivative of a(q) wrt q.
2
Let h(g) = 16*g**3 + 21*g**2 - 7*g. Let q(r) = -11*r**3 - 14*r**2 + 5*r. Let v(m) = -5*h(m) - 7*q(m). What is the third derivative of v(o) wrt o?
-18
Suppose 0 = j + 4*z + 8, -4 = 4*j + 2*z - 0. Let w = 58 + -49. What is the second derivative of -w*m + 3*m**4 + j + 6*m + 0 wrt m?
36*m**2
Let n(f) be the third derivative of 2*f**7/15 - f**6/60 + 17*f**5/30 - 58*f**2. What is the third derivative of n(i) wrt i?
672*i - 12
Let x(o) be the first derivative of -o**8/56 - o**4/8 + 7*o**2/2 - 8. Let k(y) be the second derivative of x(y). What is the second derivative of k(a) wrt a?
-120*a**3
Let p be 48/15 + (-6)/30. Differentiate -p*v**3 - 6 + v**3 + 6 + 4 wrt v.
-6*v**2
Let u(h) be the second derivative of -4*h**7/7 - 7*h**4/3 + 19*h. Find the third derivative of u(k) wrt k.
-1440*k**2
Suppose u + 0 = 1. Let n = 4 - u. Find the second derivative of 2*d - n*d**2 + 0*d + 0*d**2 wrt d.
-6
Let g(s) be the second derivative of 0 + 0*s**2 - 1/3*s**3 - 1/2*s**4 + 5*s. Find the second derivative of g(v) wrt v.
-12
Let t be 4/24*-4*-3. Find the first derivative of -5*a**t + 2*a + 10*a**2 + 1 - 2*a wrt a.
10*a
Suppose -2*k - 25 = -7*k. Let j(c) = c. Let l(a) = -a - 1. Let o(y) = k*j(y) + 4*l(y). What is the first derivative of o(t) wrt t?
1
Let r(y) = 2*y**3 - y**2 - 3*y. Let l be r(3). Suppose l = 4*h - 0*h. Differentiate 2 - h*z + 7*z + 0 wrt z.
-2
Suppose v - 2*q = -5 - 2, -4 = v - q. Let y = 1 - v. Find the second derivative of 2*z**5 + z**5 + 2 - z - y wrt z.
60*z**3
Let q(l) be the third derivative of -l**6/20 - l**3/6 + 6*l**2. What is the first derivative of q(b) wrt b?
-18*b**2
Let v(h) be the third derivative of h**7/840 - h**5/40 + h**4/24 - 3*h**2. Let c(u) be the second derivative of v(u). Find the first derivative of c(f) wrt f.
6*f
Let g be (-14)/(-10) - 6/15. Let m = g - -1. Find the second derivative of 7*x**2 - m*x - 6*x**2 + 0*x wrt x.
2
Let u(w) be the third derivative of -2*w**7/105 - 5*w**4/24 + 5*w**2. Find the second derivative of u(t) wrt t.
-48*t**2
Let w(n) be the first derivative of n**6/6 - 11*n**3/3 + 5. Find the third derivative of w(s) wrt s.
60*s**2
Let q be 1 - 9/(1 + -2). Suppose 0 = -5*j + 5*s - q, -j - j + 20 = 4*s. Find the first derivative of 4*y**j - 1 - 2*y**2 + 2 wrt y.
4*y
Find the third derivative of -8*s**2 + 31*s**6 + 2*s**2 + s**2 wrt s.
3720*s**3
Let d be 1 + (-3)/6*-8. Suppose 12 = -l + d*l. What is the first derivative of 2 - l*t**4 + t**4 - 1 wrt t?
-8*t**3
What is the first derivative of -p**3 - 10*p**3 - 288 + 287 wrt p?
-33*p**2
Let y(r) = -2*r**2 - 3*r + 6. Let n(i) = -4*i**2 - 5*i + 11. Let b(j) = 6*n(j) - 11*y(j). What is the second derivative of b(d) wrt d?
-4
Let g(s) be the third derivative of 0 - 1/4*s**4 + 0*s**3 + 8*s**2 - 1/15*s**5 + 0*s. What is the second derivative of g(x) wrt x?
-8
Let b(m) be the second derivative of m**7/168 - m**4/24 + m**3/3 - m. Let o(v) be the second derivative of b(v). What is the derivative of o(k) wrt k?
15*k**2
Find the third derivative of -29*j**2 - 1241*j**3 - 13*j**5 + 1241*j**3 wrt j.
-780*j**2
Suppose -9 = -3*w - 0*w. What is the derivative of -2*m**2 - 4 + 2*m**2 + w*m**3 - m**3 wrt m?
6*m**2
Let d = 3 - 0. Suppose -5*c - d*k 