3*i**2. Let x(l) = -l**3 + l. Let k(q) = -r(q) + 3*x(q). What is the third derivative of k(w) wrt w?
-6
Suppose -12 = -4*y + y. What is the second derivative of -2*q + y*q - 4*q - q**2 - 2*q**2 wrt q?
-6
Let y = -22 - -26. What is the derivative of -q**y - 2 - 2 - 6*q**4 - 2*q**4 wrt q?
-36*q**3
Let c = 93 - 137. Let a = 27 + c. Let t(h) = -8*h**2 - 8. Let d(x) = 23*x**2 + 23. Let f(n) = a*t(n) - 6*d(n). Differentiate f(o) wrt o.
-4*o
Let w be 6/5*70/21. Let y be (1 - 3)*w/(-4). Find the second derivative of 8*i**2 - 8*i**y + i + i**4 + i wrt i.
12*i**2
Let m(y) be the third derivative of -1/6*y**4 + 0 + 8*y**2 + 2/15*y**5 + 0*y**3 + 0*y. Find the second derivative of m(x) wrt x.
16
Let o(s) be the third derivative of -s**9/504 + 7*s**6/360 + 7*s**3/6 - s**2. Let g(v) be the first derivative of o(v). Find the third derivative of g(q) wrt q.
-360*q**2
Suppose 5*z + w = 2, 2*z + 0*z + w = 2. Find the first derivative of z*g + 2 + g + 0 - 5*g wrt g.
-4
Suppose -26 - 2 = 4*i. Let m = i - -9. What is the second derivative of -5*d**4 - 10*d + 12*d + m*d**4 wrt d?
-36*d**2
Let a(x) be the first derivative of x**6/6 + x**3/2 - 2*x - 5. Let p(l) be the first derivative of a(l). Find the second derivative of p(f) wrt f.
60*f**2
Let k(i) = -4*i**6 + 10*i**2 - 11*i - 11. Let h(o) = o**6 - 3*o**2 + 4*o + 4. Let u(c) = 11*h(c) + 4*k(c). Find the third derivative of u(j) wrt j.
-600*j**3
Differentiate 4 + 1 + n**3 + 2*n**3 with respect to n.
9*n**2
What is the first derivative of 8*q + 23 - 16 - 15 + 14*q wrt q?
22
Let m(o) be the third derivative of o**8/42 - o**4/12 + 5*o**2. Find the second derivative of m(v) wrt v.
160*v**3
Suppose 5*m - 3*k - 2*k - 10 = 0, -20 = -4*m + k. What is the first derivative of 0*g**3 + 1 + 4 - m + 4*g**3 wrt g?
12*g**2
Suppose 0 = 4*p - 8. Let l be p/4*40/4. What is the derivative of l*n**4 - 3*n**4 - 3 + 4 wrt n?
8*n**3
Let c be (3 - 3 - 1) + 3. Find the third derivative of s**2 - s**2 + s**6 + c*s**2 wrt s.
120*s**3
Suppose 0 = -5*x + x - 36. Let v(u) = 2*u**2 - 5*u - 9. Let f(k) = -k**2 + 2*k + 4. Let q(w) = x*f(w) - 4*v(w). What is the second derivative of q(o) wrt o?
2
Suppose 2*n - 5*k - 4 = 0, 3*n + 5*k - 4 = n. Let p(u) be the second derivative of 0 - n*u - 1/2*u**2 + 1/3*u**3. Differentiate p(a) with respect to a.
2
Let m(v) = 27*v**5 + 7*v**4 - 9*v + 7. Let q(o) = -13*o**5 - 3*o**4 + 4*o - 3. Let n(r) = 3*m(r) + 7*q(r). What is the second derivative of n(s) wrt s?
-200*s**3
What is the second derivative of -18*t + 23*t + 26*t + 13*t**4 - 10*t**4 wrt t?
36*t**2
Let j = -6 - -9. Let m(d) be the second derivative of -1/12*d**4 - d + d**2 + 0*d**j + 0. What is the first derivative of m(u) wrt u?
-2*u
Let w(b) be the second derivative of 0 + 0*b**4 + 2*b + 1/10*b**6 + 0*b**2 + 1/6*b**3 + 0*b**5. Find the second derivative of w(u) wrt u.
36*u**2
Let t(h) be the first derivative of -h**5/15 + h**4/24 - 3*h**2 - 2. Let z(q) be the second derivative of t(q). What is the second derivative of z(l) wrt l?
-8
Let k(i) = -2*i - 12. Let z be k(-7). What is the second derivative of -5*u + z*u + 4*u + 3*u**3 wrt u?
18*u
Let a = 20 - 13. Suppose -5*f + 3 = -a. What is the third derivative of t**f - 7*t**5 + 3*t**5 + 0*t**5 wrt t?
-240*t**2
Let k(w) = -5*w**2 - 5. Let n(r) = -1. Let d(a) = -k(a) - 10*n(a). Differentiate d(x) wrt x.
10*x
Let b(m) = m**3 - 6*m**2 - 7*m + 5. Let s be b(7). What is the first derivative of u - 3 - s*u + 2*u wrt u?
-2
Let r(i) = 16*i**3 + 7*i**2 - 28*i. Let t(q) = -47*q**3 - 20*q**2 + 85*q. Let f(c) = -11*r(c) - 4*t(c). What is the second derivative of f(h) wrt h?
72*h + 6
Let f(o) = -o + 5. Let y be f(4). Let i = 4 - y. Find the third derivative of w**2 - 3*w**3 + i*w**3 + 2*w**6 wrt w.
240*w**3
Let l = 2 + 2. What is the second derivative of l*a - 2*a**3 - a**3 + a + 6*a**3 wrt a?
18*a
Let v(r) = 6*r**3 + 16*r**2 + 2*r - 26. Let q(m) = 8*m**3 + 17*m**2 + 3*m - 26. Let j(f) = -2*q(f) + 3*v(f). What is the derivative of j(u) wrt u?
6*u**2 + 28*u
Let o(g) be the second derivative of 3*g**7/14 - 4*g**4/3 - 16*g. Find the third derivative of o(s) wrt s.
540*s**2
Suppose -4*a + a = -9. What is the derivative of -2*f**3 - a - 3 + 4 wrt f?
-6*f**2
What is the third derivative of 150*h**2 + 1 + 15*h**3 - 144*h**2 - 1 wrt h?
90
Let i(x) = x**3 - 11*x**2 + 10*x + 4. Let u be i(10). Find the second derivative of -8*a - 6*a**u - 5*a**3 + a**3 + 4*a**3 wrt a.
-72*a**2
Let h(o) = -6*o**3 + 2*o**2 + 17*o. Let t(x) = x**3 + x**2 + x. Let d(z) = h(z) - 2*t(z). Find the second derivative of d(n) wrt n.
-48*n
Let q(x) be the second derivative of -3*x**5/20 - 13*x**2/2 + 13*x. What is the first derivative of q(k) wrt k?
-9*k**2
Let p(q) = -3*q**5 + 4*q**4 + 4*q**3 + 2*q. Let t(k) = 9*k**5 - 11*k**4 - 11*k**3 - 6*k. Let y(a) = 11*p(a) + 4*t(a). Find the second derivative of y(d) wrt d.
60*d**3
Let t(w) = w**4 - w**3 - 1. Let j(x) = 18*x**4 + 8*x**3 + 4*x**2 + 8. Let k(c) = -j(c) - 8*t(c). Find the third derivative of k(z) wrt z.
-624*z
Let h(f) = -2*f**3 + f**2 - 7*f + 7. Let b(o) = o + o**3 + 0*o**3 + o - 2 + 0*o. Let r(w) = -7*b(w) - 2*h(w). What is the third derivative of r(q) wrt q?
-18
Let m = -22 + 13. Let b = 19 + m. What is the second derivative of 3*z**5 - b*z**5 - 3*z + 4*z**5 wrt z?
-60*z**3
Let c = 0 + 3. What is the second derivative of -c*z**4 - 4*z - 13*z**3 + 13*z**3 wrt z?
-36*z**2
Let w be (4/(-6))/(8/(-36)). What is the first derivative of 13*p**3 + 3 + 3*p**4 - 13*p**w + 6*p**4 wrt p?
36*p**3
Let z(m) be the second derivative of -m**8/1680 - m**6/720 - m**4/3 + 3*m. Let o(i) be the third derivative of z(i). Find the second derivative of o(v) wrt v.
-24*v
Let k be (2 + 0)*8/(-2). Let n be 6/k + 14/8. Find the first derivative of 0*t**3 + 7*t**3 - 3*t**3 - n + 3 wrt t.
12*t**2
Let d(f) be the first derivative of f**2/2 + 4. Let z(n) = -3*n**3 + 3*n**2 + 12*n. Let a(b) = 12*d(b) - z(b). Find the third derivative of a(s) wrt s.
18
Let o(n) be the second derivative of 3*n**5/20 + 9*n**2 + n. What is the first derivative of o(i) wrt i?
9*i**2
Let l(s) = -9*s**4 - 5*s**3 + 3*s**2 - 5. Let z(o) = 4*o**4 + 3*o**3 - 2*o**2 + 3. Let p(m) = 3*l(m) + 5*z(m). What is the third derivative of p(n) wrt n?
-168*n
Let z(j) = j + 1. Let p be z(1). Find the second derivative of -5*o + p*o**3 + 2*o - o**3 - 4*o**3 wrt o.
-18*o
Let v(i) be the third derivative of 0*i**6 + 0 + 0*i - 1/210*i**7 + 1/3*i**3 + 0*i**5 + 0*i**4 + 3*i**2. What is the derivative of v(c) wrt c?
-4*c**3
Find the third derivative of 17*h**2 + 20*h**6 - 44*h**2 + 0*h + 0*h wrt h.
2400*h**3
Let p(v) = 4*v**3 + v**2 - 1. Let k(t) = t**3 - 1. Let c be (-3 - -5)*2/4. Let d(g) = c*k(g) - p(g). Find the third derivative of d(a) wrt a.
-18
Let d(q) be the second derivative of -5*q + 0 + 1/10*q**5 + 0*q**3 - 3*q**2 + 0*q**4. Find the first derivative of d(u) wrt u.
6*u**2
Let r(m) = m. Let g(i) = 8*i**2 - i - 5. Suppose 3 = 2*q + 1. Let c(n) = q*g(n) + r(n). Differentiate c(p) wrt p.
16*p
Let t = 24 + -24. Find the first derivative of -2*j**3 - j**3 - 2 + t wrt j.
-9*j**2
Let n(x) be the first derivative of -x**7/210 - x**5/120 + x**3 - 3. Let q(a) be the third derivative of n(a). Find the second derivative of q(g) wrt g.
-24*g
Find the third derivative of 0*c**3 + 0*c**3 + 5*c**3 - 5*c**2 - 8*c**3 wrt c.
-18
Let z(x) = -x**2 - x + 10. Let q(c) = -1. Let y(p) = -5*q(p) - z(p). Let r(h) be the first derivative of y(h). Find the first derivative of r(b) wrt b.
2
Suppose 0 = -4*w - 0*w + 16. What is the second derivative of 2*v - 4*v**w + 9*v**3 + v**4 - 9*v**3 wrt v?
-36*v**2
Suppose -6*r - 23 = -3*r + 4*q, 2*r - q = -19. Let p be 3/(r/(-6)) + 2. Find the third derivative of d**4 + d**p + 0*d**2 - d**2 wrt d.
48*d
Let y(m) be the first derivative of -1/24*m**4 - 1/2*m**3 - 1/2*m**2 - 4 + 0*m. Let f(p) be the second derivative of y(p). What is the derivative of f(c) wrt c?
-1
Let h(u) = u**2 - u. Let c = -14 + 10. Let j(s) = 11*s. Let b(g) = c*h(g) - j(g). What is the second derivative of b(i) wrt i?
-8
Let a = -7 + 12. Suppose 2*b - a = -1. What is the second derivative of -b*z**3 - z + 3*z + 0*z wrt z?
-12*z
Differentiate -27*x**2 - 48 - 19*x**2 - 5*x**2 wrt x.
-102*x
Let h(z) be the first derivative of 1/3*z**6 + 0*z + 0*z**5 + 0*z**2 + 1/3*z**3 + 0*z**4 - 3. Fin