 5*w**3 - 3*w**3 + w**3 wrt w.
-21*w**2
Suppose -3*g = 5 - 56. Let a = g - 12. What is the second derivative of -3*q - 3*q**2 + 4*q**2 + 0*q + a*q wrt q?
2
Suppose 4*x - 28 = -4*q + x, -2*x = 5*q - 28. What is the second derivative of 1 + 3 - t**3 - q + 3*t wrt t?
-6*t
Let s(u) = u**2 - 4*u**3 + 3*u**3 - 2*u**2. Let b(m) = m**2 + 5*m. Let o(a) = b(a) + s(a). Find the second derivative of o(p) wrt p.
-6*p
Let g(j) be the second derivative of 8*j**6/15 - 13*j**4/12 - 15*j. Find the third derivative of g(y) wrt y.
384*y
Find the second derivative of -50*i**5 - 65*i + 10*i**3 + 48*i**5 + 3*i**3 + 19*i wrt i.
-40*i**3 + 78*i
Let w(a) = -15*a**2 + 19*a + 3. Let g(z) = 1. Let f(h) = 3*g(h) - w(h). What is the second derivative of f(x) wrt x?
30
Let k(o) be the second derivative of -o**6/360 + o**5/40 + o**4/6 + 3*o. Let y(v) be the third derivative of k(v). Find the first derivative of y(n) wrt n.
-2
Suppose -2*u + 5 = 1. Suppose 3 = u*i - i. Find the second derivative of 2*h + i*h**2 - h - h**2 wrt h.
4
Let j = 8 + -4. What is the third derivative of -2*m**4 + 3*m**4 + 6*m**j + 0*m**2 + 2*m**2 wrt m?
168*m
Let l(g) be the first derivative of -g**8/168 + g**5/60 + g**2 - 2. Let w(n) be the second derivative of l(n). What is the third derivative of w(k) wrt k?
-120*k**2
Let p(l) be the first derivative of 46*l**3/3 - 13*l**2/2 + 47. What is the second derivative of p(r) wrt r?
92
Let i(q) be the first derivative of -q**4/4 - 8*q**3/3 + 4. Find the third derivative of i(x) wrt x.
-6
Let y(c) = 1 - 3 - 1 - c. Let v be y(-8). Find the second derivative of -m**v + 5 + m - 5 wrt m.
-20*m**3
Find the second derivative of 87 - 87 + g**3 + 11*g wrt g.
6*g
Let p(y) = -y**2 - 6*y + 7. Let h be p(-6). Suppose -h*k = -2*k - 10. What is the third derivative of 5*u**k - u**2 + 2*u**2 - 4*u**2 - 3*u**3 wrt u?
-18
Let i(y) be the first derivative of 5*y**2/2 + 3*y - 7. Differentiate i(c) with respect to c.
5
Let c be 2/(-8) + (-10)/(-8). Find the first derivative of -3 + c + 6*z + 3 - 3*z wrt z.
3
Let q = -3 + 9. Let a = 7 - q. What is the derivative of a - 3*z**2 - 5 + 1 + 0*z**2 wrt z?
-6*z
Let c(x) = -33*x**3 + 49*x**2 + 6*x + 6. Let i(t) = -t**3 + t**2 + t + 1. Let f(z) = c(z) - 6*i(z). Find the third derivative of f(g) wrt g.
-162
Suppose c + 4*c - 10 = 0. What is the third derivative of -3*b**c + 0*b**5 + 4*b**5 - b**5 wrt b?
180*b**2
Let h(k) be the second derivative of k**6/30 + 5*k**2/2 + 2*k. Find the first derivative of h(r) wrt r.
4*r**3
Let z(f) be the third derivative of 71*f**6/120 + 61*f**3/6 + 4*f**2. What is the first derivative of z(h) wrt h?
213*h**2
Differentiate 2*z + 23*z - 7*z + 27 wrt z.
18
Let b(d) be the second derivative of -d + 0 + 1/2*d**2 + 0*d**3 - 1/4*d**4. Find the first derivative of b(m) wrt m.
-6*m
Let h = -8 + 13. Suppose 5*m = -2*g + 36, -19 + 4 = -h*g. Differentiate m + 4*n + 0*n - 2 with respect to n.
4
Let p(a) be the third derivative of 2*a**2 + 0*a**5 + 0*a**3 - 1/12*a**4 + 1/70*a**7 + 0 + 0*a**6 + 0*a. What is the second derivative of p(z) wrt z?
36*z**2
Let o(g) be the first derivative of -g**7/280 + g**5/24 - 4*g**3/3 + 1. Let m(z) be the third derivative of o(z). What is the second derivative of m(t) wrt t?
-18*t
Let o(d) be the first derivative of 4*d**3 - 5*d**2/2 - 7. What is the second derivative of o(i) wrt i?
24
Let f(k) = -k - 2. Let x be f(-4). Find the third derivative of 32*a**2 - 33*a**x + 0*a**4 + a**4 wrt a.
24*a
Let p(x) be the second derivative of 0*x**5 + 1/30*x**6 + 0*x**2 + 0 + 1/4*x**4 + 0*x**3 - x. What is the third derivative of p(g) wrt g?
24*g
Let o(m) be the third derivative of -m**7/210 - m**6/120 - m**5/12 + m**3/3 - 60*m**2. What is the third derivative of o(n) wrt n?
-24*n - 6
What is the derivative of 4 - 4 + 2*f**3 + 3*f**3 - 7 wrt f?
15*f**2
Let r(b) be the second derivative of -b**6/180 - b**5/40 + b**3/2 + 2*b. Let g(f) be the second derivative of r(f). What is the second derivative of g(y) wrt y?
-4
Let h(p) be the first derivative of p**5/10 + p**4/4 - 3*p**2 + 2. Let n(w) be the second derivative of h(w). What is the second derivative of n(m) wrt m?
12
Let h(q) be the second derivative of 28*q**3/3 + 14*q**2 - 63*q. Find the first derivative of h(r) wrt r.
56
Suppose 0 = -n - 0*n + 50. Let v be 5/(-2)*(-40)/n. What is the third derivative of -v*y**2 - 2*y**2 - y**3 + 0*y**2 + 0*y**2 wrt y?
-6
Let i be ((-4)/(-16))/(1/12). Find the third derivative of 0*w**i + w**3 - 8*w**2 + 0*w**2 wrt w.
6
What is the first derivative of -5 - 8*p**4 + 0 - 8*p**4 + 3*p**4 wrt p?
-52*p**3
Let i(m) be the first derivative of m**6/10 + 7*m**2/2 + 5*m - 3. Let x(k) be the first derivative of i(k). Differentiate x(d) wrt d.
12*d**3
Let t(z) be the first derivative of z**9/432 + 7*z**6/360 - 2*z**3 - 3. Let s(w) be the third derivative of t(w). Find the third derivative of s(m) wrt m.
420*m**2
Let h(w) = 8*w**4 + 12*w. Let k(y) = -8*y**4 - 11*y. Let j(c) = 3*h(c) + 4*k(c). What is the second derivative of j(q) wrt q?
-96*q**2
Suppose -5*b - 4*g = -10, b + 3*g = -1 + 3. What is the second derivative of -t**4 + 4*t**2 - b*t**2 - 3*t - 2*t**2 wrt t?
-12*t**2
What is the third derivative of -5*k**4 - k**6 + 5*k**4 + 3*k**6 + 7*k**2 wrt k?
240*k**3
Let x be (0 + -1)*2 + 3. Differentiate -x + 1 + 6 - 3 - 7*l**4 wrt l.
-28*l**3
Let q(t) = 5*t**2 + 4*t - 3. Let s(r) = 4*r - 5*r + r**2 - 2*r**2 + 0*r. Let w(v) = q(v) + 4*s(v). What is the first derivative of w(n) wrt n?
2*n
Let k(v) be the second derivative of 3*v**8/112 - 2*v**5/15 - v**2/2 + 6*v. Let p(m) be the first derivative of k(m). Find the third derivative of p(n) wrt n.
540*n**2
Let o(t) be the second derivative of -2/3*t**3 + 0*t**2 - 5/12*t**4 + t + 0. Find the second derivative of o(a) wrt a.
-10
Let n(l) be the first derivative of 7*l**6/360 - l**4/8 + l**3 - 7. Let x(d) be the third derivative of n(d). Find the first derivative of x(w) wrt w.
14*w
Let i be 1/(2/(-30)*-3). Find the first derivative of i - 2*v**4 - 6 + 4*v**4 wrt v.
8*v**3
Let c(p) = p**3 + 3*p**2 - 6*p - 2. Let l be c(-4). Let b = l + -3. What is the third derivative of -z + z + 2*z**b - 2*z**2 wrt z?
12
Let c(m) = -m - 8. Let i be c(-10). Find the third derivative of -4*v**2 - 2*v**5 + 5*v**2 - 5*v**2 + i*v**2 wrt v.
-120*v**2
Let j(r) be the second derivative of -2*r**3/3 + 21*r**2/2 + 19*r. What is the first derivative of j(u) wrt u?
-4
Let z(p) = p**3 + 4*p**2 + p - 4. Let l be z(-3). Find the second derivative of l*b**3 - b - 4*b + 6*b wrt b.
12*b
What is the second derivative of -185*k - 172*k + 326*k + k**3 wrt k?
6*k
Let v(t) = -t**2 + 8*t - 9. Let r be v(6). Let y(i) be the first derivative of -i**2 + 1 - 4*i**3 + 2*i**2 + 5*i**r. Find the second derivative of y(b) wrt b.
6
Let i(r) = -r - 7. Let g(u) = u + 3. Let k(d) = 5*g(d) + 2*i(d). What is the derivative of k(x) wrt x?
3
Let d(u) = 5*u**4 + 7*u**3 + 4*u**2. Let w(k) = 5*k**4 + 6*k**3 + 4*k**2. Let h(a) = 6*d(a) - 7*w(a). What is the third derivative of h(y) wrt y?
-120*y
Let v(l) = -9*l**4 + 9*l**4 + 3*l**4 - 4*l + 8. Let d(z) = 2*z**4 - 3*z + 5. Let b(g) = -8*d(g) + 5*v(g). Find the second derivative of b(x) wrt x.
-12*x**2
Let a(f) be the first derivative of 5/6*f**6 + 0*f**4 - 5/3*f**3 + 7 + 0*f**5 + 0*f + 0*f**2. What is the third derivative of a(x) wrt x?
300*x**2
Differentiate -46*q**3 - 2 + 650*q**2 - 650*q**2 wrt q.
-138*q**2
Let j(i) be the second derivative of -1/2*i**2 + 0 - 1/6*i**3 - 3*i. What is the first derivative of j(r) wrt r?
-1
Let n be 19/5 - 16/(-80). Let l(i) be the first derivative of 2 - 1/5*i**5 + 0*i + 0*i**3 + 0*i**n - 1/2*i**2. What is the second derivative of l(d) wrt d?
-12*d**2
Let w(r) = -4*r**3 + r**2 + r + 1. Let g be w(-1). Find the second derivative of 3*i**5 - i - 4*i**g - i wrt i.
-20*i**3
Let y(l) = -l**6 - 20*l**2 + 17*l + 17. Let n(v) = 7*v**2 - 6*v - 6. Let c(t) = -17*n(t) - 6*y(t). Find the third derivative of c(h) wrt h.
720*h**3
What is the second derivative of -21*v + 12*v**4 - 12*v**2 + 6*v**4 + 12*v**2 wrt v?
216*v**2
Let u(t) = t**3 - 6*t**2 - t + 8. Let w be u(6). Let a be w + -3 - 9/(-3). What is the third derivative of 3 + 4*m**2 - 3 - 2*m**a + m**4 wrt m?
24*m
Find the third derivative of 5*k**2 - 22*k**6 + 16*k**6 - 3*k**2 wrt k.
-720*k**3
Suppose 0 - 10 = -5*d.