Let g be ((-4)/8)/(2/32). Let b = -5 - g. What is the second derivative of 5*i**4 - b*i**5 - 3*i - 5*i**4 wrt i?
-60*i**3
Let r(p) be the first derivative of -p**6/3 - 4*p**3/3 + 1. Find the third derivative of r(a) wrt a.
-120*a**2
Let y(i) be the second derivative of i**8/1680 + i**5/40 - i**4/12 + 4*i. Let a(t) be the third derivative of y(t). What is the first derivative of a(q) wrt q?
12*q**2
Let m(s) be the second derivative of 2*s**6/15 + 4*s**2 + 4*s. Differentiate m(g) wrt g.
16*g**3
Let j(p) be the first derivative of -p**4 - p + 7. Find the first derivative of j(i) wrt i.
-12*i**2
What is the third derivative of 29 + 5*y**3 - 4*y**2 - 29 wrt y?
30
Let w(s) = -s**3 + s + 1. Let z(l) = 45*l**3 + 20*l - 3. Let x(g) = -3*w(g) - z(g). Find the second derivative of x(i) wrt i.
-252*i
Let x(l) be the second derivative of -7*l**6/30 + 5*l**2/2 - 2*l. Find the first derivative of x(q) wrt q.
-28*q**3
Let s(u) be the second derivative of -7*u - 3/4*u**4 + 0 - 5/2*u**2 + 0*u**3. Find the first derivative of s(h) wrt h.
-18*h
Let t(v) be the first derivative of v**6/6 + v**4 + 5*v**2/2 - 5*v + 3. Find the second derivative of t(j) wrt j.
20*j**3 + 24*j
Let b(c) be the third derivative of 3*c**8/56 - 2*c**4/3 - 20*c**2. What is the second derivative of b(o) wrt o?
360*o**3
Let q(g) be the third derivative of -2*g**7/105 - 11*g**3/6 + 14*g**2. Find the first derivative of q(i) wrt i.
-16*i**3
Let l = 3 + 1. Suppose 3*x - 5*x = -l. What is the first derivative of z**4 - 1 - 2*z**4 - x*z**4 + z**4 wrt z?
-8*z**3
Let j(r) be the first derivative of r**4/4 + 5*r**3/3 - 5. What is the third derivative of j(t) wrt t?
6
Let p(s) be the second derivative of -s**5/20 - s**4/24 + 5*s**2/2 + 6*s. Let u(y) be the first derivative of p(y). Find the second derivative of u(m) wrt m.
-6
Let h(o) = o**5 - 4*o**3 - 6*o - 4. Let q(l) = l**3 - l + 1. Let d(k) = -h(k) - 4*q(k). Find the second derivative of d(m) wrt m.
-20*m**3
Suppose -19 = -4*r + 49. Let t = r + -12. What is the second derivative of -h + 2*h + h**t + 0*h**5 wrt h?
20*h**3
Suppose 5*s = -8 + 28. Suppose -21 = -5*n + 2*q, -q = s*n + 4*q + 3. Differentiate -z**2 - 3*z**2 + n*z**2 - 1 wrt z.
-2*z
Let x(b) be the third derivative of -1/12*b**4 + 5*b**2 + 0 + 0*b - 1/2*b**3. What is the first derivative of x(c) wrt c?
-2
Let n(c) = c**3 - 9*c**2 - 10*c + 2. Let m be n(10). Let s = m - 0. What is the third derivative of z**s + z**2 + z**3 + 2*z**3 - 3*z**2 wrt z?
18
Let s(u) = -2*u**2 + 3*u + 3. Let m(h) = 2*h**2 - 3*h - 4. Let f(p) = -3*m(p) - 4*s(p). Find the second derivative of f(n) wrt n.
4
Let x(d) = -d. Let k(b) = -5*b**3 + 7*b. Let q(g) = g - 4. Let l be q(3). Let t(u) = l*x(u) - k(u). What is the second derivative of t(r) wrt r?
30*r
Suppose -7*i + 11*i = 12. What is the derivative of -l + 0*l - i - 4*l wrt l?
-5
Let w(b) be the second derivative of b**5/4 + 5*b**4/12 - 38*b. What is the third derivative of w(v) wrt v?
30
Let q(o) be the first derivative of -3*o**4/2 - o**3/3 - 5. Find the third derivative of q(n) wrt n.
-36
Let i(w) = -w**3 - w**2 + 1. Let n(x) = -4*x**3 + 5*x**2 - 10. Let l(f) = 5*i(f) + n(f). Differentiate l(k) wrt k.
-27*k**2
Suppose -9 = -2*h - 1. Let g = 6 - h. What is the second derivative of s + 2*s - 5*s + 2*s**g wrt s?
4
Let v(a) be the second derivative of 0*a**2 + 0 + 1/6*a**4 + 1/6*a**3 + 3*a. What is the second derivative of v(y) wrt y?
4
Suppose -b = 3*b. Let l(s) be the first derivative of -1/4*s**4 + 2 + 0*s + b*s**3 + 1/2*s**2. What is the second derivative of l(v) wrt v?
-6*v
Let g = -8 + 13. What is the second derivative of -h - h + h**g + 5*h wrt h?
20*h**3
Let g(p) = 13*p**3 + 21*p + 5. Let b(k) = -20*k**3 - 32*k - 7. Let h(t) = -5*b(t) - 7*g(t). Find the second derivative of h(r) wrt r.
54*r
Let m(b) = -b + 13. Let f be m(7). What is the third derivative of -10*z**6 + f*z**2 + 0*z**6 + z**6 wrt z?
-1080*z**3
Let m(y) = 4*y**3 - 2*y**2 + 3*y - 2. Suppose -6 = -3*q - 0. Let s(u) = u**3 - u**2 - u - 1. Let w(v) = q*s(v) - m(v). Find the second derivative of w(n) wrt n.
-12*n
Let n be (-4 + -1)*9/(-15). Let x(m) be the first derivative of -n + 1/4*m**4 + 0*m**2 - m + 0*m**3. Differentiate x(g) wrt g.
3*g**2
Let v(m) be the third derivative of -1/30*m**5 + 0*m + 0*m**4 + 0 + 4*m**2 + 0*m**3 - 1/105*m**7 + 0*m**6. What is the third derivative of v(a) wrt a?
-48*a
Let q(r) = -4*r**3 + 9*r**2 + 2*r. Let i(d) = 4*d**3 - 8*d**2 - 3*d. Let t(z) = -2*i(z) - 3*q(z). What is the third derivative of t(c) wrt c?
24
Let p(v) = -v**2 + 5*v - 2. Let j be p(2). What is the first derivative of 3*w - 1 + 6*w**2 - 3*w - j*w**2 wrt w?
4*w
Let o(n) = 14*n**2 + 4*n - 3. Let d(u) = -u. Let k(q) = 4*d(q) + o(q). What is the derivative of k(t) wrt t?
28*t
Let y(s) be the third derivative of -7*s**6/120 - 11*s**5/60 - 9*s**2. Find the third derivative of y(b) wrt b.
-42
Let n(v) = 7*v**4 + 6*v**2 + 2*v. Let r be ((-4)/4)/(2/(-4)). Let p(j) = -j**4 - j. Let l(t) = r*p(t) + n(t). What is the third derivative of l(m) wrt m?
120*m
What is the third derivative of -5*g**5 - 52*g**2 + 0*g**5 - 63*g**2 + 100*g**2 wrt g?
-300*g**2
Let c(b) be the second derivative of b**9/3024 + b**6/720 - b**4/6 + 6*b. Let r(z) be the third derivative of c(z). Find the second derivative of r(t) wrt t.
60*t**2
Let a(u) be the second derivative of 0 + 1/2*u**2 - u**3 - 8*u. What is the derivative of a(w) wrt w?
-6
Let v(z) be the third derivative of -z**5/30 - 5*z**4/24 + 4*z**2. Find the second derivative of v(l) wrt l.
-4
Let k(z) = z**5 + z**4. Let n(f) = -13*f**5 - 2*f**4 - 4*f. Let b(c) = -2*k(c) - n(c). Find the second derivative of b(y) wrt y.
220*y**3
What is the second derivative of -40*p - 14*p**2 + 63 - 20*p**2 - 63 wrt p?
-68
Let q(k) = -k**3 - k**2 - k + 3. Let g be q(0). Differentiate -3 + 4*b**3 - 4*b**3 + 2 + b**g wrt b.
3*b**2
Let f(c) be the third derivative of -c**2 + 0*c**3 - 1/8*c**4 + 0*c**5 + 0 + 0*c - 1/120*c**6. Find the second derivative of f(a) wrt a.
-6*a
Let m(u) be the first derivative of -1/3*u**3 + 0*u + 3/2*u**2 + 3. What is the second derivative of m(q) wrt q?
-2
Suppose 0 = 3*z - 5 - 1. Find the first derivative of z + 0 - 2*b - b - 3 wrt b.
-3
Let g = 22 + -20. Find the third derivative of 15*b**3 - 4*b**2 - 15*b**3 - 6*b**4 - g*b**2 wrt b.
-144*b
Let x(m) = -31*m**3 - 14*m**2 + 5*m. Let b(i) = 31*i**3 + 13*i**2 - 6*i. Let g(f) = -5*b(f) - 6*x(f). What is the third derivative of g(n) wrt n?
186
Let f(y) be the second derivative of -y**8/840 + y**6/90 - y**3/6 - 2*y. Let p(z) be the second derivative of f(z). Find the third derivative of p(c) wrt c.
-48*c
Let j(u) be the third derivative of -u**4/24 + 5*u**3/2 - u**2. Let o(m) = -8. Let p(k) = -4*j(k) - 7*o(k). What is the derivative of p(x) wrt x?
4
Find the third derivative of 4*c**2 - 6*c**2 + 9*c**2 - 4*c**5 wrt c.
-240*c**2
Let u(d) be the first derivative of 5*d**3 - 17*d - 20. Find the first derivative of u(x) wrt x.
30*x
Let n(s) be the third derivative of s**5/20 - 13*s**4/12 + 7*s**2. What is the second derivative of n(m) wrt m?
6
Let f = -2 + 3. Let c(g) be the third derivative of g**3/6 + 2*g**2. Let v(l) = l + 2. Let r(k) = f*c(k) - v(k). What is the derivative of r(y) wrt y?
-1
Let x(o) be the third derivative of o**6/180 + o**4/24 + o**3/2 + 3*o**2. Let q(y) be the first derivative of x(y). Find the first derivative of q(h) wrt h.
4*h
Let z = -3 - -5. Suppose -4*j + z = 5*k, -2*j + 0*j = 4*k - 4. What is the second derivative of 0*w**2 + 0*w**2 + 6*w**4 + k*w - 4*w**4 wrt w?
24*w**2
Let p(q) = 11*q**2 + 5*q + 1. Let n(w) = w**2 + w. Let d(j) = 5*n(j) - p(j). What is the first derivative of d(v) wrt v?
-12*v
Let u(v) = -v**3 - v - 1. Let j(h) = -5*h**3 - 2*h - 7. Let p(t) = j(t) - 2*u(t). What is the first derivative of p(s) wrt s?
-9*s**2
What is the third derivative of 0*x**5 - 6*x**2 + 3*x**2 + 0*x**2 - x**5 wrt x?
-60*x**2
Let g(q) be the second derivative of 33*q**5/20 - 16*q**3/3 + 18*q. What is the second derivative of g(x) wrt x?
198*x
Suppose 3*g - 5*g = -4. Suppose 4*v = g*v + 12. Find the third derivative of 2*s**v + 2*s**2 + 4*s**2 - 2*s**2 + 0*s**2 wrt s.
240*s**3
Let f(b) be the second derivative of 0*b**5 + 0*b**3 + 0 + 0*b**2 + 1/6*b**4 + 2*b + 0*b**6 + 1/7*b**7. What is the third derivative of