t**2 + 1/30*t**6 + 1/6*t**3 + 0*t**5 - 2*t. What is the second derivative of f(u) wrt u?
12*u**2
Differentiate -26 - 7*f**3 + 11*f**2 - 3 + 8*f**3 - 18*f**2 wrt f.
3*f**2 - 14*f
Differentiate 6*c**3 - 1 - 2*c**3 - 4*c**3 + 10*c**4 with respect to c.
40*c**3
Let d(r) = -67*r**3 - 11*r**2 + 11*r - 45. Let p(k) = 34*k**3 + 6*k**2 - 6*k + 23. Let g(y) = 6*d(y) + 11*p(y). What is the first derivative of g(z) wrt z?
-84*z**2
Let k be (2/(-5))/((-5)/25). Let y be (-3)/k*(-4)/3. What is the second derivative of 1 - v + v**y - 1 wrt v?
2
Let i(x) = 11*x**4 - 5*x**2 + 18*x - 5. Let z(f) = 17*f**4 - 7*f**2 + 27*f - 7. Let o(v) = -7*i(v) + 5*z(v). Find the second derivative of o(t) wrt t.
96*t**2
Let u(h) be the second derivative of -h**6/72 + h**4/12 - 2*h**3/3 - 5*h. Let n(w) be the second derivative of u(w). What is the derivative of n(s) wrt s?
-10*s
What is the third derivative of -6*x**2 + 0*x**2 - 2*x**2 - 4*x**5 wrt x?
-240*x**2
Suppose 3*p + 0 = 6. Let c be (-1)/(2*(-1)/4). What is the second derivative of r + 2*r**2 + 2*r**p - 2*r**c wrt r?
4
Let u be ((-4)/(-5))/((-11)/(-385)). Find the second derivative of 28*z**4 - u*z**4 + 0*z + 4*z - 2*z**5 wrt z.
-40*z**3
Let u(g) = g**3 - g**2. Let y(l) = -16*l**4 - 2*l**3 + 2*l**2 - 10*l. Let n(z) = -2*u(z) - y(z). Find the second derivative of n(a) wrt a.
192*a**2
Let g(k) = -29*k**2 - 5*k - 63. Let p(d) = 15*d**2 + 2*d + 31. Let b(z) = -2*g(z) - 5*p(z). Find the first derivative of b(j) wrt j.
-34*j
Let v(a) be the first derivative of 9/2*a**2 + 7/3*a**3 + 0*a + 1. What is the second derivative of v(u) wrt u?
14
Let r(x) be the first derivative of -x**6/30 - x**4/4 - 2*x - 1. Let z(f) be the first derivative of r(f). What is the third derivative of z(p) wrt p?
-24*p
Let v(p) = -16*p**4 - 6*p**2 - 4*p - 4. Let k(o) = o**4 + o + 1. Let d(w) = -4*k(w) - v(w). What is the third derivative of d(q) wrt q?
288*q
Let x(o) = -3*o**2 - 18*o + 3. Let k(d) = -d**3 - 4*d**2 - 17*d + 4. Let f(m) = -3*k(m) + 4*x(m). What is the second derivative of f(g) wrt g?
18*g
Let o(x) be the first derivative of 0*x + 2*x**2 - 2 - 2/3*x**3. What is the second derivative of o(r) wrt r?
-4
Let t = 21 - 11. Suppose 0*a - t = -2*a. Find the second derivative of b**5 + 2*b**5 - 5*b**a - b wrt b.
-40*b**3
Let a(x) = -5*x**2 + 4*x + 2. Let o(d) = -d**2 - d + 1. Let i(q) = -2*a(q) + 4*o(q). Find the second derivative of i(y) wrt y.
12
Let y(h) be the first derivative of 19*h**3/3 + 11*h - 21. What is the derivative of y(d) wrt d?
38*d
Let o(n) be the second derivative of -n**8/840 + n**5/24 - n**3 + 7*n. Let j(r) be the second derivative of o(r). What is the second derivative of j(k) wrt k?
-24*k**2
Suppose 4*t + 10 = 2*s, s = -2*t - 4 + 5. Suppose -11 = 3*d + 5*f, -f - 3*f = 5*d + 1. What is the third derivative of d*w - w**s - 3*w - w**2 wrt w?
-6
Suppose 7 = 3*l + 5*c, -2*l + 1 = -3*l - 5*c. Find the first derivative of 0*a - l + 6*a - a wrt a.
5
Let f(i) = -21*i + 11. Let q be ((-6)/(-15))/(1/(-15)). Let a(d) = -10*d + 5. Let x(v) = q*f(v) + 13*a(v). What is the first derivative of x(n) wrt n?
-4
Suppose -2*f - 3 + 7 = 0. Suppose 3*b = -4*l + 24, -f*l + 2 + 0 = -b. Find the second derivative of -3*r**5 + 3*r**5 + l*r + 2*r**5 wrt r.
40*r**3
Let y(w) = -46*w**2 + 11*w - 56. Let i(n) = 9*n**2 - 2*n + 11. Let d(h) = 11*i(h) + 2*y(h). What is the first derivative of d(f) wrt f?
14*f
Let w(x) be the first derivative of -9*x**4/2 + 40*x**3/3 + 17. Find the third derivative of w(i) wrt i.
-108
Let w be 3 - (-3 + (-3)/(-3)). Let f = w + -1. What is the first derivative of -2 - f*v**3 + 11*v**3 - 4*v**3 wrt v?
9*v**2
What is the third derivative of 9*q**6 + 17*q**6 - 35*q - 31*q**2 + 35*q wrt q?
3120*q**3
Suppose 2*f - 4 = 2. Suppose 2*z + f*z - 15 = 0. Find the first derivative of -4*i**4 - z + 22*i**3 - 22*i**3 wrt i.
-16*i**3
What is the second derivative of -25*j**4 + j + 9*j**4 + 3*j**4 wrt j?
-156*j**2
Let z(d) be the second derivative of d**6/24 + 5*d**3/6 + 3*d**2 + 5*d. Let y(k) be the first derivative of z(k). What is the first derivative of y(w) wrt w?
15*w**2
Let y(z) be the third derivative of -z**7/280 - z**6/360 + z**3/3 + 8*z**2. Let d(m) be the first derivative of y(m). Find the third derivative of d(s) wrt s.
-18
What is the second derivative of 43*v**3 + 9*v + 2688*v**2 - 2688*v**2 + 1 wrt v?
258*v
Let j(n) = 9*n**2 - 2*n. Let t be j(1). What is the second derivative of t*d**4 + 2*d - 2*d**4 - 4*d**4 + d wrt d?
12*d**2
Let z(t) be the first derivative of -2/3*t**3 - t**2 + 0*t - 1. What is the second derivative of z(g) wrt g?
-4
Let d(h) = 5*h - 13. Let l(y) = -2*y + 12. Let g(i) = -i + 12. Let v(o) = -3*g(o) + 4*l(o). Let r(a) = -4*d(a) - 5*v(a). Differentiate r(x) with respect to x.
5
Let j(o) = -17*o**2 - 6*o - 52. Let a(q) = 17*q**2 + 7*q + 52. Let t(r) = 6*a(r) + 7*j(r). What is the derivative of t(m) wrt m?
-34*m
Let m(k) be the third derivative of 0*k**4 + 0*k**6 + 0*k + 0 - 1/210*k**7 - 1/15*k**5 + 3*k**2 + 0*k**3. Find the third derivative of m(g) wrt g.
-24*g
Let n(t) be the second derivative of 0*t**4 + 0*t**3 + 1/15*t**6 - 2*t**2 - 3*t + 0 + 0*t**5. What is the derivative of n(s) wrt s?
8*s**3
Suppose -3*h - 38 + 44 = 0. Let r(l) be the second derivative of -l + 1/3*l**3 + 1/6*l**4 + 0*l**h + 0. Find the second derivative of r(o) wrt o.
4
Let m(x) be the second derivative of 1/12*x**4 + 0 + 1/3*x**3 + 0*x**2 - 3*x. Find the second derivative of m(a) wrt a.
2
Let k(z) = 3*z**3 + 0*z**2 - z**2 - 3 - 3*z + 0*z**2 + 0. Let r(p) = -p**2 - p - 1. Let f(m) = -k(m) + 3*r(m). What is the third derivative of f(u) wrt u?
-18
Let j(c) be the third derivative of -c**4 - 5*c**3 + 28*c**2. What is the derivative of j(q) wrt q?
-24
Suppose -3*k = -2*k. Suppose k = 2*x + 5*n - n - 16, -16 = x - 4*n. What is the second derivative of x*v + v - v + 2*v**5 - v wrt v?
40*v**3
Let u be ((-2)/(-6))/((-1)/(-12)). Suppose -q + u = q. What is the derivative of -3*d**2 + q + 7*d**2 - 3*d**2 wrt d?
2*d
Let f = 11 + -9. Find the third derivative of -f*n**4 - 2*n**2 + 11 - 11 wrt n.
-48*n
Let x(u) be the first derivative of -1 + 3/5*u**5 + 0*u**4 + 0*u - 2/3*u**3 + 0*u**2. Find the third derivative of x(y) wrt y.
72*y
Suppose 0 = -2*v + 4*r, 3 = -3*v + 2*v + 5*r. Differentiate 2*h + 6 - 9 - 4*h**v - 2*h wrt h.
-8*h
Let m(d) = 2*d**6 - d**2 - 3*d + 3. Let t(u) = u**6 - u + 1. Let r be 1*((-3)/(-1) - 4). Let g(p) = r*m(p) + 3*t(p). What is the third derivative of g(c) wrt c?
120*c**3
Suppose 0 = 4*q - 3 - 1. Suppose -q = -4*s + 11. What is the second derivative of -5*t**s + 2*t**3 + 3*t - 6*t wrt t?
-18*t
Let r(x) be the third derivative of 1/210*x**7 + 0*x**5 + 0*x + 0*x**3 + 5*x**2 + 0 + 0*x**6 - 1/24*x**4. What is the second derivative of r(t) wrt t?
12*t**2
Suppose 3*w - 14 = -l + 7, 5*l - w = 41. Find the second derivative of -10*n**2 + 19*n**2 - l*n**2 + 6*n**4 + 3*n wrt n.
72*n**2
Suppose 4*n - 2*n - 10 = 0. Differentiate 1 + 3*j + n*j + 8*j**3 - 8*j wrt j.
24*j**2
Let t(i) = 16*i**3 - 28*i**2 - 7*i - 7. Let a(w) = -17*w**3 + 28*w**2 + 6*w + 6. Let h(v) = -7*a(v) - 6*t(v). What is the third derivative of h(u) wrt u?
138
Suppose -5 - 7 = 2*g - 3*m, g - 2*m + 8 = 0. Let d(f) be the third derivative of 0*f**4 + 0 + g*f + 1/3*f**3 + 2*f**2 + 1/30*f**5. Differentiate d(s) wrt s.
4*s
Let v be (-2)/(-10) - (-266)/70. What is the second derivative of -2*n + 0 - 4*n**v + 0 wrt n?
-48*n**2
What is the third derivative of 17*g + 21*g - 26*g**3 - 40*g + 13*g**2 wrt g?
-156
Find the second derivative of -3*j**4 - j - 2*j**4 + 3*j**4 wrt j.
-24*j**2
Let l(c) = -c + 1. Suppose -2*u + 0 = -2. Let q(r) = -2*r - 2. Let n(d) = u*l(d) - q(d). What is the derivative of n(m) wrt m?
1
Suppose -3*w - 4*u - 9 = 0, 11 = 2*w - 3*w - 4*u. Differentiate 4*a + 2 + w - 1 wrt a.
4
Let g(l) be the third derivative of 1/12*l**4 + 0*l**5 - l**2 + 0 + 0*l**6 - 4/105*l**7 + 0*l**3 + 0*l. Find the second derivative of g(k) wrt k.
-96*k**2
What is the third derivative of -7*z**5 - 32*z**2 + 0*z**5 + 25*z**2 wrt z?
-420*z**2
Let w be ((-26)/4)/((-2)/4). Let z(l) = -3*l**2 - 13*l + 19. Let b(s) = s**2 + 6*s - 9. Let h(j) = w*b(j) + 6*z(j). What is the derivative of h(v) wrt v?
-10*v
Let v be (-6)/4*(-8)/6. Let a = -2 + v. What is the second derivative of -j**2 + 2*j - j**