et l(g) = -6*x(g) - 5*y(g). What is the second derivative of l(f) wrt f?
-100
Let m be (-4)/(-3)*(-6)/(-4). Let y = -37 + 41. Find the second derivative of -5*o + m*o + y*o**4 - 6*o**4 wrt o.
-24*o**2
Let o(m) = -m**3 - m**2 - 1. Let p(k) = -13*k**3 + 10*k**2 + 2. Let q(f) = -2*o(f) - p(f). Find the third derivative of q(l) wrt l.
90
Suppose 3*q + 3 = 4*c, 2 = 4*q - 2*c - 4. Suppose -4*k - q = 3*a, -2*k + k - 12 = 3*a. Differentiate -3 - 2*d**k + 3 - 2 wrt d.
-6*d**2
Let w be 1/(-3) - (-35)/15. What is the third derivative of -5*v**2 + 5*v**2 - v**2 - w*v**4 wrt v?
-48*v
Differentiate -14 + 3*m**2 + 2 - 2 wrt m.
6*m
Let h(y) = -3*y - 5*y**3 - 2*y**3 + 7*y**4 + 4*y**3 - 3*y**4. Let m(l) = l**3 + l - 1. Let v(q) = -h(q) - 3*m(q). Find the first derivative of v(f) wrt f.
-16*f**3
Let x(h) be the second derivative of -h**7/140 - h**4/12 + h**3/2 - 2*h. Let m(v) be the second derivative of x(v). Find the first derivative of m(a) wrt a.
-18*a**2
Let v(t) = -5*t**3 + 4*t**2 + 4*t + 5. Suppose 0 = -o + 5 - 2. Let f(h) = h**3 - h**2 - h - 1. Let u(p) = o*v(p) + 12*f(p). Differentiate u(i) wrt i.
-9*i**2
Let x(s) be the first derivative of -37*s**5/5 + s**2 + s - 10. What is the second derivative of x(w) wrt w?
-444*w**2
Let d(o) = 2*o - 5. Let b(g) = 2*g - 4. Let a(n) = -2*b(n) + 3*d(n). What is the first derivative of a(p) wrt p?
2
Let u(h) be the third derivative of -h**6/15 - 5*h**3/3 - h**2. Differentiate u(b) wrt b.
-24*b**2
Let b = 10 + -8. Find the first derivative of 3*p**3 - 22*p**b + 2 + 22*p**2 wrt p.
9*p**2
Find the second derivative of -3*j + 25*j**5 - 7*j + 13*j - 12*j wrt j.
500*j**3
What is the third derivative of -2*s**2 + 3*s**5 + s**5 - 3*s**2 wrt s?
240*s**2
Let n(m) be the first derivative of -3*m**5/5 - 11*m**2/2 - 4. What is the second derivative of n(x) wrt x?
-36*x**2
Let a(j) be the second derivative of -3*j**8/56 - j**4/6 + 8*j. Find the third derivative of a(u) wrt u.
-360*u**3
Let t(y) be the third derivative of 11*y**9/504 + y**5/20 + 5*y**2. What is the third derivative of t(a) wrt a?
1320*a**3
What is the third derivative of -4*t**4 + 3*t**4 + 5 + 7*t**2 - 5 wrt t?
-24*t
Differentiate 23 - 2 + 6 - 58*x**4 + 7 wrt x.
-232*x**3
Let m(d) = -d**3 + 3*d**2 + d + 4. Let q be m(4). Let s = q - -10. Differentiate -2 + 0*a**2 - s + 0 + a**2 wrt a.
2*a
Let z(c) be the first derivative of c**2/2 + 2*c + 1. Let w be z(2). Differentiate 2 + 2*b**w + 2*b**4 - 2*b**4 with respect to b.
8*b**3
What is the third derivative of -v**2 + 0*v**6 + 18*v**2 - v**2 - 20*v**6 wrt v?
-2400*v**3
Let j(a) be the third derivative of -a**8/336 - 3*a**4/8 + 9*a**2. Find the second derivative of j(q) wrt q.
-20*q**3
Let v(d) be the first derivative of d**2 - d + 1/2*d**3 - 2. Let r(u) be the first derivative of v(u). Differentiate r(j) wrt j.
3
Let u(p) be the second derivative of -11*p**5/5 - p**4/12 - 5*p**3/3 + p. Find the second derivative of u(t) wrt t.
-264*t - 2
Let u(p) be the second derivative of 13*p**7/14 + 29*p**3/6 - 44*p. Find the second derivative of u(r) wrt r.
780*r**3
Let l be (-36)/30*(-15)/2. Find the third derivative of 2*o**2 - l*o + 9*o - 3*o**6 wrt o.
-360*o**3
Let j(q) = 5*q**3 - 13*q**2 + 4*q + 4. Let w(i) = -5*i**3 + 12*i**2 - 5*i - 5. Let u(y) = 5*j(y) + 4*w(y). What is the third derivative of u(b) wrt b?
30
Suppose -x + 6 = 2*x. Find the second derivative of -x*k + 5*k - 2*k**3 + 2*k wrt k.
-12*k
Let w(v) be the third derivative of v**6/20 + v**4/24 + 2*v**2. Find the second derivative of w(d) wrt d.
36*d
Let u(d) be the second derivative of 2*d**7/105 + 7*d**3/6 + 3*d**2 + 4*d. Let t(g) be the first derivative of u(g). What is the derivative of t(c) wrt c?
16*c**3
Let c(h) be the second derivative of h + 0*h**5 + 0*h**4 - 1/7*h**7 + 0*h**2 + 0 + 5/6*h**3 + 0*h**6. Find the second derivative of c(k) wrt k.
-120*k**3
Suppose 2*n = -3*w + 13 + 2, 2*w = -5*n + 32. What is the third derivative of 3*d**3 - 4*d**2 - 7*d**n + 8*d**6 - 3*d**3 wrt d?
120*d**3
Let r = -7 - -9. What is the second derivative of -r*w**5 + w + w + w**5 wrt w?
-20*w**3
Let z(b) be the first derivative of 5 + b**3 + 0*b**5 + 0*b + 1/3*b**6 + 0*b**4 + 0*b**2. Find the third derivative of z(k) wrt k.
120*k**2
Let a(i) = -i**2 + 6*i - 7. Let t be a(3). Let p(x) be the second derivative of -t*x + 1/2*x**2 + 1/3*x**3 + 0. Differentiate p(c) with respect to c.
2
Let k(q) be the first derivative of 16*q**3/3 + 12*q - 2. Differentiate k(b) wrt b.
32*b
Suppose h + 15 = 3*x, -5*h + 3*h - 3*x + 15 = 0. Suppose 3*n + 2*g - 10 - 3 = 0, 2*n - 3*g = 0. What is the derivative of 3 + h + 0 - n*j wrt j?
-3
Let a(z) = z**2 - 2*z + 2. Let l be a(2). Let g(p) be the first derivative of -5*p**2 + 4*p**l + 4*p - 2 - 2*p. Find the first derivative of g(k) wrt k.
-2
Let v(i) = i**2 - 5*i - 4. Let p be v(6). Let h be 14/63 + 50/18. Differentiate -p - u - 2*u**h + u with respect to u.
-6*u**2
Let a(i) be the first derivative of 0*i + 0*i**4 + 4/5*i**5 - 3 + 0*i**3 - 1/2*i**2. Find the second derivative of a(m) wrt m.
48*m**2
Find the second derivative of 0*k**4 + 8*k - 13*k - 7*k**4 wrt k.
-84*k**2
Let c(q) be the first derivative of -9*q**5/5 + 4*q + 10. What is the derivative of c(v) wrt v?
-36*v**3
Let z(y) be the first derivative of 0*y**2 + 8/5*y**5 + 0*y - 5 + 0*y**4 + 3*y**3. Find the third derivative of z(n) wrt n.
192*n
Let k = -9 + 14. What is the derivative of 5 - 4*m + k - 1 wrt m?
-4
Let r(i) = 6*i**2 - 12. Let x(u) = 3*u**2 - 6. Let m(y) = -6*r(y) + 13*x(y). Differentiate m(k) wrt k.
6*k
Let x(m) be the second derivative of -1/6*m**4 + 0*m**5 + 2*m + 0*m**3 + 0*m**6 + 0 - 1/21*m**7 + 0*m**2. What is the third derivative of x(u) wrt u?
-120*u**2
Let h = 1 + 2. What is the second derivative of -h*y**4 + 5*y**3 - 4*y**3 + 4*y - y**3 wrt y?
-36*y**2
Find the second derivative of -7*y - 16*y**3 + y + 5*y + 3*y wrt y.
-96*y
Let l(r) be the second derivative of -7*r**5/20 + 5*r**4/12 + 3*r. Find the third derivative of l(f) wrt f.
-42
Find the second derivative of 3*r + r + 16*r**2 - 9*r**2 wrt r.
14
Find the second derivative of -2*w - 2*w**5 + 8*w + 6*w wrt w.
-40*w**3
Let o = 2 - -1. Suppose o*p - 4 = 11. What is the second derivative of 6*j + 2*j**5 - 5*j + 0*j**p wrt j?
40*j**3
Let j(i) be the third derivative of i**7/210 - i**3/2 + 9*i**2. Differentiate j(t) wrt t.
4*t**3
Let a(q) be the first derivative of 2/3*q**3 + 0*q**2 - q - 1. What is the first derivative of a(b) wrt b?
4*b
What is the first derivative of -10*r**2 + 19 + 11*r**2 - 17*r**2 wrt r?
-32*r
Let y(g) = -3*g - 5. Let f(a) = 3*a - 10. Let k(p) = -p + 1. Let m(d) = -f(d) - 5*k(d). Let r(o) = 2*m(o) + 3*y(o). What is the derivative of r(z) wrt z?
-5
Suppose -5*k + 4*x + 121 = 0, -3*k + 3*x = 51 - 126. Suppose k = 5*f - 2*f. What is the derivative of -1 + 2*s - 1 - 6*s + f*s wrt s?
3
What is the derivative of 5*u**2 - 5*u**2 + 5*u**4 - 2 - 7*u**4 wrt u?
-8*u**3
Let g(l) be the first derivative of 0*l**3 + 3/2*l**2 - 2/5*l**5 + 0*l**4 + 0*l - 2. Find the second derivative of g(k) wrt k.
-24*k**2
Let f(v) be the first derivative of 9*v**2/2 - 4*v + 17. What is the first derivative of f(b) wrt b?
9
Differentiate 4*x**4 - 7*x**4 + 9 - 10*x**4 + x**4 with respect to x.
-48*x**3
Find the third derivative of 3*z**3 - z**3 + 3*z**2 - 2*z**2 + 6*z**3 wrt z.
48
Find the first derivative of a**3 + 4 + a**3 - 12 - a**3 wrt a.
3*a**2
Let f(i) = 17*i**3 + 3*i**2 + 3*i + 3. Let j(u) = 16*u**3 + 2*u**2 + 3*u + 2. Let k(y) = -2*f(y) + 3*j(y). What is the second derivative of k(b) wrt b?
84*b
Let g(x) be the second derivative of -x**5/2 + 15*x**2/2 + 19*x. Differentiate g(s) with respect to s.
-30*s**2
Let x(b) = 5*b**5 - 3*b**4 - 8*b**2 + 3*b + 3. Let i(s) = -s**5 + s**4 - s**2 - s - 1. Let a(k) = 3*i(k) + x(k). What is the third derivative of a(d) wrt d?
120*d**2
Suppose -p + 4*p = 2*f + 2, 3*f - p = 4. Find the first derivative of 0 - f + 6*x**3 + 1 wrt x.
18*x**2
Let m be 0*(-1)/(-3)*-1. Suppose n = -m*n. What is the third derivative of n*r**6 - 8 - r**6 + 8 - r**2 wrt r?
-120*r**3
Let w(m) = 3*m**4 - 21*m**3 + 8*m. Let y(f) = 16*f**4 - 106*f**3 + 39*f. Let u(n) = -11*w(n) + 2*y(n). What is the second derivative of u(s) wrt s?
-12*s**2 + 114*s
Let c(w) = -2*w**3 - 15*w**2 - 7*w + 10. Let i be c(-7). Suppose 2 = 3*p - 