) - 6*c(h). What is the second derivative of k(x) wrt x?
72*x
Differentiate 27*m**4 + 3*m**2 - 19*m**4 - 10*m**4 + 43 with respect to m.
-8*m**3 + 6*m
What is the second derivative of -7*z**2 + 24*z - 3*z**4 - 20*z**4 + 7*z**2 wrt z?
-276*z**2
Let c(y) = y**2 - y + 12. Let q be c(0). Suppose -5*h = -q - 3. Differentiate -2*d**2 - d**2 + 0*d**2 - h with respect to d.
-6*d
Let w(f) be the third derivative of -f**7/280 - f**4/8 - f**3/2 - 2*f**2. Let h(z) be the first derivative of w(z). What is the derivative of h(t) wrt t?
-9*t**2
Suppose 6*h + 3*s + 9 = 3*h, 3*s + 15 = 0. Let z = 4 - h. What is the first derivative of -1 + 2*p**4 - z + 2 wrt p?
8*p**3
Let f(n) be the third derivative of -7*n**6/120 - n**4/8 - n**2. What is the second derivative of f(a) wrt a?
-42*a
What is the first derivative of -47*g**3 - 8 + 110*g**3 - 46*g**3 wrt g?
51*g**2
Differentiate -15*v**2 + 3*v**2 + 4*v**2 - 6 with respect to v.
-16*v
Let z(u) be the third derivative of 17*u**8/336 + 9*u**4/8 + 16*u**2. What is the second derivative of z(k) wrt k?
340*k**3
Let o(f) = 15*f**2 - 3*f. Let i(x) be the first derivative of 8*x**3/3 - x**2/2 + 1. Let q(c) = -5*i(c) + 3*o(c). What is the second derivative of q(g) wrt g?
10
Let t(n) = 5*n - 12. Let c(a) = -5*a + 11. Let q(w) = -6*c(w) - 5*t(w). Let o(v) = v. Let u(s) = -2*o(s) + q(s). What is the derivative of u(g) wrt g?
3
Let s(c) be the third derivative of 5*c**8/84 + c**5/2 - 13*c**2. What is the third derivative of s(t) wrt t?
1200*t**2
Let z(h) be the first derivative of -16*h**3/3 - 4*h - 8. Differentiate z(q) wrt q.
-32*q
Let k be (1 - 1) + 6/3. Let f be 4*-10*k/(-16). What is the second derivative of 0*d + 2*d - 2*d**5 + d**f wrt d?
-20*d**3
Let f(x) be the second derivative of -7*x**6/30 + 2*x**3/3 + 6*x. What is the second derivative of f(k) wrt k?
-84*k**2
Let k(f) = f**3 + 6*f**2 - 3*f - 4. Let l be k(-6). Suppose l - 2 = 2*p. Find the third derivative of 0*a**6 + 2*a**p + 3*a**2 + 0*a**6 wrt a.
240*a**3
Let h be ((-1)/(-3))/((-2)/(-12)). What is the derivative of -3*q**2 + 4*q**h + 1 + 1 - 3*q**2 wrt q?
-4*q
Let w(f) = -f**2 - 13*f + 3. Let s be w(-13). What is the derivative of -4 + s + b**4 + 4*b**4 wrt b?
20*b**3
Let l(g) be the second derivative of g**5/60 + g**3/3 - 3*g**2/2 - 2*g. Let m(x) be the first derivative of l(x). What is the first derivative of m(r) wrt r?
2*r
What is the second derivative of 12*y**3 - 2*y**3 - y - 8*y - 2*y wrt y?
60*y
Let b = 8 + -8. Suppose -5*d - 38 = -x - b*x, 2*d = -6. Find the second derivative of -3*u + x + 4*u**5 - 23 wrt u.
80*u**3
Let m be (-9)/3*(-4)/(-6). Let r(v) = 2*v**2 + 4*v + 3. Let x be r(m). Find the second derivative of -3*a + 2*a - 3*a**x + 2*a wrt a.
-18*a
Let i(s) be the third derivative of -1/4*s**4 + 0*s + 0*s**7 + 1/168*s**8 + 0*s**3 + 0*s**6 + 0*s**5 - 4*s**2 + 0. Find the second derivative of i(n) wrt n.
40*n**3
Let f(l) = -l**3 + 4*l**2 - 2*l - 1. Let d be f(2). Let a be (-1)/(d/(-3)) - -1. Differentiate g**3 + 0 - 2 - a*g**3 with respect to g.
-3*g**2
Let i(l) = -6*l**3 + l**2 - 5*l - 5. Let g(s) = -13*s - 8 + 2 + s**2 - 7*s**3 + 7*s. Let n(d) = 5*g(d) - 6*i(d). Find the third derivative of n(f) wrt f.
6
Let h(o) be the third derivative of -7*o**5/60 - o**4/24 - 8*o**2. Find the second derivative of h(r) wrt r.
-14
Find the second derivative of 85*w**5 + 11*w - 17*w**5 - 42*w**5 wrt w.
520*w**3
Let d(s) = -37*s**4 - 15*s**2 - 5*s - 5. Let l(p) = -19*p**4 - 8*p**2 - 2*p - 2. Let r(o) = 2*d(o) - 5*l(o). What is the third derivative of r(b) wrt b?
504*b
What is the first derivative of -s + 7 - 18 + s - 8*s**2 wrt s?
-16*s
Suppose -r - 6 + 14 = 0. Let s = r + -5. What is the third derivative of s*b**6 + 3*b**2 + 8 + 0*b**2 - 8 wrt b?
360*b**3
Let z(f) = -4*f**2 + 3*f. Let k(u) = 7*u**2 - 5*u - 1. Let w(m) = 3*k(m) + 5*z(m). Differentiate w(x) with respect to x.
2*x
Let g(z) = z**3. Let w(u) = 5*u**3 + 4*u + 3. Let f(t) = 4*g(t) - w(t). Let k(q) be the first derivative of f(q). What is the first derivative of k(l) wrt l?
-6*l
Let w(c) = c**3 - c**2 - c. Let f(q) = -q**4 + 5*q**3 - 5*q**2 - 5*q + 5. Let j(x) = -f(x) + 5*w(x). Differentiate j(l) wrt l.
4*l**3
Let n(r) = -r + 1. Let j(p) = 4*p**2 + 2*p - 3. Let q(v) = -j(v) - 2*n(v). Differentiate q(f) wrt f.
-8*f
Let c = -2 + 9. Let k(x) = 3*x + 5. Let t(i) be the third derivative of i**4/12 + i**3/2 + i**2. Let f(r) = c*t(r) - 4*k(r). Differentiate f(g) wrt g.
2
Let k = 3 - 9. Let d be 7*(0 - k/21). What is the third derivative of -9*n + 9*n + 2*n**d - 2*n**3 wrt n?
-12
Let d(n) = 5*n**4 + 19*n**2 + 3*n - 3. Let g(l) = -4*l**4 - 18*l**2 - 4*l + 4. Let a(i) = -4*d(i) - 3*g(i). Find the third derivative of a(q) wrt q.
-192*q
Let j = 63 - 60. Let f(i) be the third derivative of 0*i**5 + 0 + 0*i**j - 1/120*i**6 - 1/12*i**4 + 2*i**2 + 0*i. Find the second derivative of f(b) wrt b.
-6*b
What is the second derivative of 13*f - 3*f + 7*f - 4*f + 5*f**4 wrt f?
60*f**2
Let m(t) be the second derivative of t**4 - 27*t**2 + 6*t. What is the first derivative of m(s) wrt s?
24*s
Let c(n) be the third derivative of -n**8/960 + n**6/144 - n**4/8 - 8*n**2. Let y(p) be the second derivative of c(p). Find the second derivative of y(h) wrt h.
-42*h
Let r(b) = -b**3 + 9*b**2 + b - 6. Let y = 9 + 0. Let x be r(y). What is the derivative of -5*d**4 + x*d**4 + 4*d**4 + 3 wrt d?
8*d**3
Suppose 2*w + 5*z = 24, w = 6*w + z - 14. Find the third derivative of -3*q**5 + w*q**5 + 4*q**2 - 3*q**2 wrt q.
-60*q**2
Let a(j) be the second derivative of -19*j**5/20 + 31*j**4/12 - 8*j. Find the third derivative of a(v) wrt v.
-114
Suppose -2*v + 7*v = 0. What is the second derivative of -94*a + 8*a**5 + v*a**5 + 100*a wrt a?
160*a**3
Let d be 11*(11 - (3 - -1)). Differentiate -9*q**3 + 10 - d*q**2 + 77*q**2 with respect to q.
-27*q**2
Let p(b) be the third derivative of 1/168*b**8 - 1/30*b**5 + 0*b**4 + 0*b**3 + 0*b**6 + 0 + 0*b**7 + 0*b + 5*b**2. Find the third derivative of p(r) wrt r.
120*r**2
Let z(y) be the third derivative of -y**9/60480 - y**8/6720 + y**5/30 - y**2. Let a(m) be the third derivative of z(m). Find the third derivative of a(l) wrt l.
-6
What is the third derivative of -4*t**2 + 0*t**2 + 5*t**6 - t**2 wrt t?
600*t**3
Suppose -6 = 3*o, -3*t + 12 = -3*o - 0*o. Find the second derivative of t*g - g**5 - g + 0*g wrt g.
-20*g**3
Let q(c) be the second derivative of 2*c**4/3 - 3*c**2/2 - 3*c. Find the first derivative of q(g) wrt g.
16*g
Let x(j) = -52*j**3 - 4*j**2 - 5*j - 39. Let u(d) = 52*d**3 + 3*d**2 + 4*d + 40. Let f(w) = 4*u(w) + 3*x(w). What is the second derivative of f(s) wrt s?
312*s
Let z(m) = 9*m + 16. Suppose 0 = -3*h - 0*h - 6. Let k(q) = -2*q - 3. Let s(i) = h*z(i) - 11*k(i). Differentiate s(g) with respect to g.
4
Let w = 1 - 3. Let o = 5 + w. Find the third derivative of -2*s**5 + 5*s**2 - 3*s**4 - 3*s**2 + o*s**4 wrt s.
-120*s**2
Let w(b) = b - 7. Let t be w(7). Find the first derivative of 5 + 7*i**4 - 2 - 3*i**4 + t wrt i.
16*i**3
Let a(i) be the second derivative of 0*i**3 + 0 + 1/4*i**4 - 1/4*i**5 + 0*i**2 - 4*i. What is the third derivative of a(o) wrt o?
-30
Suppose 10 = 4*u + u. Differentiate -u*j**3 + 2*j**2 + 2 - 2*j**2 + 0 wrt j.
-6*j**2
Let a(d) be the first derivative of -d**3 + 4*d - 1. Differentiate a(z) wrt z.
-6*z
What is the second derivative of -10*h**3 + 121*h**2 - 3 + 2*h**5 + 3*h + 4 - 121*h**2 wrt h?
40*h**3 - 60*h
Let t(n) be the third derivative of n**7/105 - 11*n**3/6 - 5*n**2. Differentiate t(b) wrt b.
8*b**3
Suppose 0*a - 4*a = -8. What is the first derivative of 3*n**2 + 1 + n**2 + n**a - n**2 wrt n?
8*n
Let z(m) = -m**3 - 8*m**2 - m - 5. Let g be z(-8). Suppose -1 = 5*h - 41. Find the first derivative of h*r**3 - 6*r**g + 2 - 4 wrt r.
6*r**2
Let p(i) = i**3 + i**2 - i - 1. Let x(v) = -2*v**3 - 3*v**2 - 5*v + 3. Let y(d) = -3*p(d) - x(d). Find the second derivative of y(u) wrt u.
-6*u
Let z be (-2 - -1 - -3) + 0. Differentiate z + 5*g**2 + 2 + g**2 - 1 wrt g.
12*g
Let r(l) be the third derivative of 0*l + 0*l**6 + 1/112*l**8 + 0*l**5 + 0 + 1/8*l**4 + 0*l**3 + 0*l**7 - 3*l**2. Find the second derivative of r(y) wrt y.
60*y**3
What is the derivative of -3*z**3 - 6*z**3 - 407 + 401 wrt z?
-27*z**2
Find the first derivative of -101 + 143 - v - 11*v wrt v.
-12
Let y = 8 + -5. Diffe