s**4/8 - s**3/6 - 3*s. Let v(u) be the second derivative of f(u). What is the derivative of v(j) wrt j?
2*j
Let u be 1 - 6*(-4)/(-40). Let o(r) be the first derivative of 0*r**4 - 2 + 0*r**2 - 1/3*r**3 + u*r**5 + 0*r. What is the third derivative of o(t) wrt t?
48*t
Suppose -t - v + 1 = -2*v, 0 = -5*t - 5*v + 45. Find the second derivative of 5*g + g**5 + 0*g**5 - t*g**5 wrt g.
-80*g**3
Suppose 16 = -4*o + 2*q, -4*o - 4*q + 7 + 1 = 0. Let j = 4 + o. What is the third derivative of 4*i**4 + 9*i**2 - 12*i**2 - j*i**4 + 0*i**4 wrt i?
48*i
Let r(q) be the third derivative of q**6/24 - q**5/15 + 5*q**4/24 + 55*q**2. Find the third derivative of r(i) wrt i.
30
Let u(m) be the second derivative of -2*m**5/5 - m**3/2 - 11*m**2/2 - 6*m. Differentiate u(g) with respect to g.
-24*g**2 - 3
Let l(a) = -15*a**2 - 9*a - 3. Let p = 7 - 3. Let c(z) = -7*z**2 - 4*z - 1. Let i = -5 + -4. Let s(w) = i*c(w) + p*l(w). Differentiate s(v) wrt v.
6*v
What is the third derivative of -69*u**3 + 6*u**2 + 69*u**3 + 14*u**5 wrt u?
840*u**2
Let w = -8 + 9. Let v be 8 + 3*(-1)/w. What is the second derivative of -2*q**2 - q**v + 3*q + 2*q**2 wrt q?
-20*q**3
Let f(i) be the second derivative of 0 + 0*i**3 + 0*i**5 + i + 2*i**2 + 0*i**4 + 1/6*i**6. What is the first derivative of f(o) wrt o?
20*o**3
Suppose 4 = h + 2*h + w, 10 = 3*h - 2*w. Suppose 2*z - 15 = -11. Find the third derivative of z*o**2 - o**3 - 3*o**2 - h*o**2 wrt o.
-6
Let p(z) be the second derivative of 0*z**2 + 0 - 1/6*z**6 - 4*z + 1/2*z**3 + 0*z**5 + 0*z**4. Find the second derivative of p(m) wrt m.
-60*m**2
Let n(a) be the second derivative of 11*a**7/42 - a**4/6 - 8*a. Find the third derivative of n(x) wrt x.
660*x**2
Let p be (-2)/(-16)*264/220. Let o(d) be the second derivative of 0*d**3 + 0*d**2 - p*d**5 + 1/12*d**4 + 0 + 4*d. Find the third derivative of o(c) wrt c.
-18
Let w(g) be the third derivative of g**8/28 + 3*g**4/8 + 3*g**2. Find the second derivative of w(b) wrt b.
240*b**3
Let r(f) be the third derivative of f**2 + 1/6*f**4 - 1/60*f**5 + 0*f + 0 + 0*f**3. What is the second derivative of r(v) wrt v?
-2
Suppose -6*a + 3*a + 75 = 0. Let w be (-3)/18 - a/(-6). Find the second derivative of -d**4 - 3*d + 4*d + w*d**4 wrt d.
36*d**2
Let a = -14 + 18. What is the second derivative of -2*r - a*r - 6*r**2 + 2*r wrt r?
-12
Let n(x) be the second derivative of -x**5/120 + x**4/6 + 5*x**3/6 + 4*x. Let r(b) be the second derivative of n(b). Differentiate r(c) wrt c.
-1
Find the second derivative of 0*d + 6*d + 5*d**4 - 2*d**4 wrt d.
36*d**2
Let s(k) be the first derivative of 8*k**3/3 - 10*k + 4. Differentiate s(m) wrt m.
16*m
Let o(x) = -14*x**3 + 11*x**2 + x. Let b(h) = h**3 + h. Let r(z) = b(z) - o(z). Find the third derivative of r(s) wrt s.
90
Let f(s) be the second derivative of s**7/21 - s**3/6 + 3*s. What is the second derivative of f(c) wrt c?
40*c**3
Let d(s) = 2*s**2 - 2*s**2 + s + 0*s + s**2 - s**3. Let v(u) = -u**4 - 4*u**3 + 4*u**2. Let r(i) = -4*d(i) + v(i). Find the second derivative of r(a) wrt a.
-12*a**2
Let r(t) be the second derivative of t**11/9240 - t**7/1260 - t**4/3 + 3*t. Let z(p) be the third derivative of r(p). Find the third derivative of z(f) wrt f.
720*f**3
Let l(c) = -6*c**5 + 2*c**3 - 8*c + 2. Let v(z) = -z**5 + z**3 + 1. Let n(h) = l(h) - 2*v(h). What is the second derivative of n(y) wrt y?
-80*y**3
Let t(p) = -p**3 + p**2 - p + 2. Let b be t(0). Find the second derivative of 2*d**3 + d + d**b + d - d**2 wrt d.
12*d
Let w(v) = -v + 4*v + v**3 - 5*v**2 - 2*v - 3 - v**2. Let r be w(6). Find the second derivative of 3*l + l - 8*l**r - 2*l + 7*l**3 wrt l.
-6*l
Let t(m) = m - 9. Let q be t(10). Let n(y) = -2 - 2*y + 4*y - 5*y. Let p(s) = s. Let w(d) = q*n(d) + 2*p(d). What is the derivative of w(v) wrt v?
-1
What is the derivative of -15*t - 2 - 14*t**4 + 15*t + 15 wrt t?
-56*t**3
Let n = -2 - -7. Suppose 0 = n*m - m - 16. Find the first derivative of -3 - m*i**2 + 2 + 5 wrt i.
-8*i
Let a(v) be the first derivative of 2*v**3/3 - v**2 - 1. What is the second derivative of a(d) wrt d?
4
Let t(l) be the third derivative of -13*l**8/336 - 7*l**5/60 + 15*l**2. Find the third derivative of t(o) wrt o.
-780*o**2
Let w = 4 + -4. Let n(b) be the first derivative of -2*b + w + b**2 - 3 + 3 + 3. What is the first derivative of n(m) wrt m?
2
Let j(w) = -10*w - 17. Let x(i) = 9*i + 17. Let a(q) = 5*j(q) + 6*x(q). Differentiate a(r) with respect to r.
4
Let d(j) be the third derivative of 0*j**6 + 0*j**3 + 0*j**7 + 0*j**4 + 0*j - 5/336*j**8 + 0 + 1/20*j**5 - 2*j**2. Find the third derivative of d(q) wrt q.
-300*q**2
Let m(g) = -21*g**3 + 33*g**2 - 6*g - 6. Let w(u) = -u - 1. Let b(t) = m(t) - 6*w(t). Find the third derivative of b(h) wrt h.
-126
Let a(v) be the third derivative of 0*v**4 + 1/24*v**6 + v**2 + 0*v**3 + 0*v - 1/12*v**5 + 0. Find the third derivative of a(c) wrt c.
30
Let l(r) be the first derivative of r**9/126 + r**5/15 + 3*r**2/2 + 1. Let t(n) be the second derivative of l(n). Find the third derivative of t(u) wrt u.
480*u**3
Let c(i) be the second derivative of -3*i**5/20 - 4*i**3/3 - 4*i. Find the second derivative of c(q) wrt q.
-18*q
Let j be -2 + 9/6*2. What is the derivative of 2 - 2 + 2 + 2*k**2 + j wrt k?
4*k
Let n(i) be the first derivative of -i**6/40 + 7*i**5/120 + 5*i**3/3 - 1. Let r(h) be the third derivative of n(h). Find the second derivative of r(b) wrt b.
-18
Let q(u) = -24*u**2 + 9. Let v(w) = w**2 + 1. Let f(h) = q(h) - 4*v(h). What is the first derivative of f(m) wrt m?
-56*m
Let w(k) = -2 + 2*k + 4 - 3*k. Let j be w(0). What is the second derivative of 0 + j*i**2 + 0 - i - i**2 wrt i?
2
Let j = 6 - 0. Differentiate -4*u - 4*u**3 + j + 4*u - 8 with respect to u.
-12*u**2
Let d be (-13)/(-6) - 5/30. Let y(n) be the second derivative of 0*n**3 - n + 0 - 1/2*n**d + 1/12*n**4. Find the first derivative of y(g) wrt g.
2*g
Let m(l) be the third derivative of -1/56*l**8 + 0*l**6 + 0*l**7 + 0*l**3 - 5*l**2 + 0*l + 1/6*l**4 + 0*l**5 + 0. What is the second derivative of m(s) wrt s?
-120*s**3
What is the third derivative of 11*s**2 + 34*s**4 + 4*s**2 - 33*s**2 wrt s?
816*s
Let n(c) = 24*c**3 + 6*c**2 + 5. Let r(l) = l**3 - l**2 + 1. Let v(j) = n(j) - 5*r(j). Find the third derivative of v(u) wrt u.
114
Let l(k) = k**3 - 5*k**2 - 3*k - 13. Let y be l(6). Find the second derivative of r**3 + y*r**3 - 2*r + 3*r**3 - 2*r**3 wrt r.
42*r
Let q = 12 + -12. Differentiate q*v**4 - 4*v**4 + 4 - v**4 wrt v.
-20*v**3
Let h(z) = 3*z - 1. Let f be h(2). Suppose 45 = 5*d - 4*t, -f*d + 2*t = -d - 42. Find the second derivative of -13*c**2 + d*c**2 - 3*c + c**3 wrt c.
6*c
Let o(u) be the first derivative of 0*u**4 + 3*u + 6 + 0*u**3 + 3/5*u**5 + 0*u**2. What is the first derivative of o(s) wrt s?
12*s**3
Let p(y) be the third derivative of y**9/8640 - y**6/240 + y**5/10 - 5*y**2. Let g(x) be the third derivative of p(x). Differentiate g(a) with respect to a.
21*a**2
Let t(h) = 21*h - 14. Let n(r) = 44*r - 28. Let i(d) = 6*n(d) - 15*t(d). What is the first derivative of i(b) wrt b?
-51
Let j(x) be the first derivative of 3*x**4/2 - 20*x - 19. What is the derivative of j(g) wrt g?
18*g**2
Let l(x) = -10*x + 24*x**3 - 20 - 5*x - x - 20*x**2. Let g(n) = -n**3 + n**2 + n + 1. Let u(s) = 20*g(s) + l(s). Find the second derivative of u(i) wrt i.
24*i
Suppose 2*o = -2*o + 12. What is the derivative of -1 - 3*x + o*x + 2*x**3 + 0*x wrt x?
6*x**2
Find the third derivative of w**2 + w**5 - 2*w**2 + 2*w**2 + w**2 wrt w.
60*w**2
Let w(r) = r - 1. Suppose -22 = 2*y + 2*p, -4*y - 3*p - 45 = y. Let q(g) = -2*g + 1. Let c(f) = y*q(f) - 7*w(f). Differentiate c(v) with respect to v.
5
Let u(n) = -10*n + 6. Let l(z) = 10*z - 5. Let c(g) = 3*l(g) + 4*u(g). Differentiate c(r) wrt r.
-10
What is the third derivative of 4*p**2 - p**2 + p**4 + p**4 - p**2 wrt p?
48*p
Let k(c) = 6*c**4 + 10*c**2. Let b(m) = -12*m**4 - 20*m**2. Let v(u) = 4*b(u) + 9*k(u). What is the third derivative of v(s) wrt s?
144*s
Let p = 6 + -4. What is the first derivative of -3*b**3 + 0 + 2*b**3 - 3 - p*b**3 wrt b?
-9*b**2
Suppose -t = -0*p + 5*p - 3, 3*t - p = -7. Let h = 4 + t. Find the third derivative of -5*i**h + i**2 + 3*i**2 - i**3 wrt i.
-6
Let v = -33 - -33. Let r(n) be the first derivative of 3/2*n**2 + 0*n**3 + v*n