8
Let n(g) be the first derivative of -11*g**6/6 - 11*g**2/2 + 9. Find the second derivative of n(j) wrt j.
-220*j**3
Let b(s) = 77*s**5 - 49*s**2 + 5*s. Let f(w) = 38*w**5 - 24*w**2 + 2*w. Let x(z) = -2*b(z) + 5*f(z). What is the third derivative of x(t) wrt t?
2160*t**2
Let b(f) be the second derivative of 1/14*f**7 + 0*f**6 + 1/3*f**3 + 5*f + 0*f**4 + 0 + 0*f**5 + 0*f**2. Find the second derivative of b(n) wrt n.
60*n**3
Let d = -4 - -13/3. Let z(b) be the second derivative of 0*b**2 + 1/10*b**5 + d*b**3 - b + 0*b**4 + 0. Find the second derivative of z(m) wrt m.
12*m
Let a(z) = 4*z**2 + 3*z**3 - 3*z**3 - 3 + z**3 - 6*z. Let j be a(-5). Find the third derivative of 2*n**3 - n**3 - 3*n**3 + n**j wrt n.
-12
Let x be ((-12)/8 + 2)*20. Find the first derivative of 5 - 4 - a - 11 + x*a wrt a.
9
Differentiate -28*b**2 + 0 + 12*b**2 - 9 with respect to b.
-32*b
Let j(z) be the second derivative of 0 - 3*z + 0*z**6 - 1/28*z**8 + 0*z**2 + 0*z**7 - 1/12*z**4 + 0*z**3 + 0*z**5. What is the third derivative of j(q) wrt q?
-240*q**3
Let w(r) = -r**4 + r**3 + r**2 + 1. Let b be (2 + 2*-2)/(-2). Let u(m) = 5*m**4 - 2*m**3 - 2*m**2. Let g(j) = b*u(j) + 2*w(j). Differentiate g(a) wrt a.
12*a**3
Suppose -t - 3*n = 3*t + 19, -2*t - 12 = 4*n. Let m be 2/(-2 - 10/t). Find the third derivative of 4 + 3*s**m - 4 - s**2 wrt s.
72*s
Let l(d) = -5*d**2 + 21*d. Let w(m) = -3*m**2 + 10*m. Let u(f) = -2*l(f) + 5*w(f). Find the second derivative of u(g) wrt g.
-10
Differentiate -11*w**4 + 9 - 3*w**4 - 4 wrt w.
-56*w**3
Let y(z) = -3*z**2 + 3*z - 2. Let h = -10 - -5. Let n(i) = -6*i**2 + 5*i - 4. Let l(u) = h*y(u) + 3*n(u). What is the first derivative of l(x) wrt x?
-6*x
Let l(r) be the third derivative of -1/12*r**6 + 0*r**5 + 0 + 5/24*r**4 + 0*r**3 + 0*r + 6*r**2. Find the second derivative of l(u) wrt u.
-60*u
Suppose -2 = -t - 3*x, -3*x - 18 = -3*t - 0. Suppose 2*j - 4*j - 2 = 0, 4*r - j - t = 0. Find the first derivative of 4*d**4 + 3 + 0 + r wrt d.
16*d**3
Let t(h) be the first derivative of -h**6/72 - h**4/12 + 2*h**3 - 4. Let u(x) be the third derivative of t(x). What is the first derivative of u(c) wrt c?
-10*c
Let c(f) = -f**2 + 4*f + 7. Let m = 12 + -7. Let a be c(m). What is the third derivative of -2*y**2 - 1 - 4*y**3 + a*y**3 + 1 wrt y?
-12
Let t(m) = -7*m**3 - 3*m**2 - 2. Let v(p) = -8*p**3 - 4*p**2 - 2. Let f(u) = -4*t(u) + 3*v(u). Find the first derivative of f(l) wrt l.
12*l**2
Let o(a) be the third derivative of 0*a**6 + 0*a**4 + 1/70*a**7 - 1/3*a**3 + 0*a**5 + 0*a - a**2 + 0. Differentiate o(l) wrt l.
12*l**3
Let y(t) be the third derivative of -11*t**6/40 + 2*t**4/3 - 22*t**2. Find the second derivative of y(x) wrt x.
-198*x
Find the second derivative of m**3 + 2*m**3 - m - 2*m**3 + 2*m**3 wrt m.
18*m
Suppose -3*n + 4*b + 35 = 0, 0*b + 2*b = -10. What is the first derivative of n + 8*x**2 - 4*x**2 - 9*x**2 wrt x?
-10*x
Let t(n) = -9*n**2 + n + 5*n + n - 16. Let z(y) = -3*y**2 + 2*y - 5. Let p(w) = 2*t(w) - 7*z(w). Differentiate p(o) with respect to o.
6*o
Suppose -5*n = -8 - 2. Find the third derivative of 3 - q**4 + 2*q**n - 3 wrt q.
-24*q
Let s be 2/9 - 50/(-18). Find the second derivative of o**s + 2*o - 2*o**3 + o**3 + 4*o**3 wrt o.
24*o
What is the third derivative of c**6 + 8*c - 8*c + 8*c**2 wrt c?
120*c**3
Suppose c + 4 = w, -6*c - 3*w = -2*c + 51. Let h be (-1 + -1 - c) + -2. What is the derivative of 0*p**2 + p**2 + 3 + 5 - h wrt p?
2*p
Let m(y) be the first derivative of -7/6*y**6 + 5/3*y**3 + 0*y**5 + 1 + 0*y**4 + 0*y + 0*y**2. What is the third derivative of m(z) wrt z?
-420*z**2
Let g(t) = -2*t**5 + 6*t**3 + 6*t**2 - 4*t + 6. Let j(n) = -n**3 - n**2 - n - 1. Let o(l) = -g(l) - 6*j(l). Find the second derivative of o(z) wrt z.
40*z**3
Find the third derivative of 15*d**4 - 2*d**2 - 11*d**2 - 5*d**2 wrt d.
360*d
Let v(p) be the first derivative of p**7 - 4*p**3/3 - 5. Find the third derivative of v(f) wrt f.
840*f**3
Let x(u) be the third derivative of -7*u**2 + 0*u + 0*u**3 + 1/35*u**7 + 1/30*u**5 + 0*u**4 + 0 + 0*u**6. What is the third derivative of x(r) wrt r?
144*r
Let o(r) be the third derivative of 7*r**6/30 + r**4/8 + 49*r**2. What is the second derivative of o(b) wrt b?
168*b
Suppose -3*s + 5*t = 20, 0*s + 2*t = -s + 8. Suppose 0 = -f - s + 2. Find the third derivative of 0*r**3 + 0*r**3 + 3*r**6 - 2*r**f wrt r.
360*r**3
Let o(a) be the second derivative of -a**5/10 + 6*a**2 + 14*a. What is the derivative of o(i) wrt i?
-6*i**2
Suppose 3*l + 0*l + 6 = 5*z, -2*z + 15 = 3*l. What is the first derivative of i**3 + 1 - 3 + i**3 + 0*i**z wrt i?
6*i**2
What is the derivative of -2 - 88*x + 43*x + 59*x wrt x?
14
Find the second derivative of -19*l**3 + 4*l + 3*l**2 + 1 - 13*l**3 + 34*l**3 wrt l.
12*l + 6
What is the second derivative of 5 + 9*m**4 - 3 - 1 + 3*m - 8 wrt m?
108*m**2
Let f(h) = -15*h**3 - 5*h**2 - 5*h - 8. Let i = 11 + -6. Let x(j) = 8*j**3 + 3*j**2 + 3*j + 4. Let q(p) = i*x(p) + 3*f(p). Differentiate q(v) with respect to v.
-15*v**2
Let a = 2 + 2. Let y(t) be the third derivative of 0*t**3 + 0*t + 0*t**a + 0 + 1/210*t**7 + t**2 + 0*t**6 - 1/20*t**5. Find the third derivative of y(m) wrt m.
24*m
Suppose w - 5*w + 32 = 0. Let a = w + -6. Differentiate 2*g**3 + 4*g**a - 4*g**2 - 2 wrt g.
6*g**2
Let d(h) be the first derivative of -h**7/280 - h**4/24 - 2*h**3/3 - 3. Let y(g) be the third derivative of d(g). Differentiate y(t) wrt t.
-9*t**2
Let l(q) be the third derivative of q**9/1512 - q**6/72 - q**3 - 6*q**2. Let o(u) be the first derivative of l(u). What is the third derivative of o(a) wrt a?
120*a**2
Differentiate -k**3 - k**3 + 4 + 4 + 0 wrt k.
-6*k**2
Find the first derivative of -9*f**4 - 50*f**2 + 15 + 50*f**2 wrt f.
-36*f**3
Let j(d) be the second derivative of d**8/6720 + d**7/2520 - d**4/4 + 4*d. Let n(o) be the third derivative of j(o). Find the third derivative of n(k) wrt k.
6
Let h(b) be the first derivative of b**5/60 - b**4/8 - 2*b**3/3 + 3. Let s(k) be the third derivative of h(k). What is the first derivative of s(q) wrt q?
2
Let o(f) be the third derivative of -1/40*f**6 + 1/8*f**4 + 0*f**5 + 0*f**3 + 0 + 0*f + 2*f**2. What is the second derivative of o(t) wrt t?
-18*t
Suppose 5*a + 3*t = 13, -4*t = a - t - 5. What is the second derivative of -2*j - 4*j**4 + 3*j**4 - a*j - j wrt j?
-12*j**2
Suppose -18 = -2*y + 3*r + 7, 0 = 3*y + 5*r + 10. What is the third derivative of 6*w**2 - y*w**2 + 11*w**6 - 9*w**6 wrt w?
240*w**3
Let k(q) = -q**4 - q - 1. Let c(r) = -11*r**4 - 10. Let i(u) = c(u) - 2*k(u). Differentiate i(h) with respect to h.
-36*h**3 + 2
Let b(p) be the first derivative of 0*p**3 + 0*p**4 - 2/3*p**6 + 0*p + 0*p**5 - 3*p**2 + 4. What is the second derivative of b(m) wrt m?
-80*m**3
Let g be 35/3 + (-2)/3. Suppose -m = 5*j + 3, 6*m - 4*j = m + 14. What is the first derivative of g*r**m - 2 + 3 - 10*r**2 wrt r?
2*r
Let w(q) be the third derivative of -2/3*q**3 + 2*q**2 + 0*q + 0*q**5 + 0 + 2/105*q**7 + 0*q**4 + 0*q**6. Differentiate w(s) with respect to s.
16*s**3
Let i(p) = 16*p**4 + 11*p**3 + 16*p - 11. Let m(v) = -3*v**4 - 2*v**3 - 3*v + 2. Let f(j) = 2*i(j) + 11*m(j). Find the second derivative of f(r) wrt r.
-12*r**2
Find the third derivative of -2*g**2 - 41*g**5 + 18*g**5 + 24*g**5 wrt g.
60*g**2
Suppose 2*f = -f + 6. Find the third derivative of -2*i**3 + 2*i**2 + 4*i**2 - 3*i**f + i**3 wrt i.
-6
Let n(y) = -15*y**4 + 9*y**2 - 6. Let w(j) = -j**4 + j**2 - 1. Let l(f) = n(f) - 6*w(f). What is the third derivative of l(d) wrt d?
-216*d
Let q(l) be the second derivative of l**5/5 - l**4/12 - 4*l. Find the third derivative of q(r) wrt r.
24
Differentiate 3 + 12 - 5*u**2 + 4*u**2 wrt u.
-2*u
Let n = -3 + 5. Let r(x) = 6*x + 6. Let y(w) = -w - 1. Suppose -3*m + 4*m = 11. Let s(b) = m*y(b) + n*r(b). What is the derivative of s(p) wrt p?
1
Let h(q) be the third derivative of 4*q**7/105 - 7*q**5/20 + 4*q**2. Find the third derivative of h(c) wrt c.
192*c
Let h(n) be the first derivative of -n**6/2 + n**4 + 2*n**2 + n - 42. Find the second derivative of h(j) wrt j.
-60*j**3 + 24*j
Let f(a) be the second derivative of 1/3*a**4 + 0 - 7*a + 1/6*a**6 + 0*a**3 + 0*a**2 + 0*a**5. Find the third derivative of f(m) wrt m.
120*m
Find the third derivative of 10*l**2 - 3*l**3 - 28*l**2 + 28*l**3 wrt l.
150