(s) wrt s?
7
Let o(z) be the first derivative of 0*z - 5 - 4/3*z**3 + 4*z**2. What is the second derivative of o(s) wrt s?
-8
Let s(u) = -150*u**2 - 30*u - 21. Let m(k) = 15*k**2 + 3*k + 2. Let o(b) = -21*m(b) - 2*s(b). Find the second derivative of o(y) wrt y.
-30
Let u = 11 + -5. Find the third derivative of -132*t + 132*t - u*t**4 + t**2 wrt t.
-144*t
Suppose 0 = -z + 3. Suppose s = -c + 4*c - 10, 5*c - z*s - 22 = 0. What is the derivative of 4 + g**3 - c - 2*g**3 wrt g?
-3*g**2
Let g(v) = -3*v**4 - 5*v**3 + 5*v**2 - 5*v - 5. Let c(f) = f**4 + f**3 - f**2 + 1. Let u(p) = -5*c(p) - g(p). What is the second derivative of u(r) wrt r?
-24*r**2
Let w(u) = -9*u**5 + 2*u**2 - 8*u. Let g(v) = -19*v**5 + 5*v**2 - 16*v. Let f(r) = 2*g(r) - 5*w(r). What is the second derivative of f(s) wrt s?
140*s**3
Let h(l) = -10*l**3 - 5*l**2 - 5*l - 5. Let a(t) = -9*t**3 - 4*t**2 - 6*t - 6. Let c(i) = 5*a(i) - 6*h(i). Find the third derivative of c(s) wrt s.
90
Let c be (0 - 0) + 5 + -3. Suppose 2*t + x = 10, -10 = -c*t + x - 5*x. What is the second derivative of -m**5 + 3*m**5 - 3*m + 0*m**t wrt m?
40*m**3
Let h(n) = -8*n**2 - n**2 + 2*n**2 + 2*n**3 - n**3 + 8. Let l be h(7). Differentiate -l*q + 4*q**3 - 1 + 8*q wrt q.
12*q**2
Differentiate -6*f**3 - 68*f**2 + 68*f**2 + 3 wrt f.
-18*f**2
Suppose -h + 1 = -1. Find the second derivative of -4*x**2 + 10*x**5 - 15*x**5 + 2*x + 4*x**h wrt x.
-100*x**3
Let f(p) be the third derivative of 0*p**6 + 0*p + 0*p**5 + 0 + 0*p**3 + 1/24*p**4 + p**2 + 1/210*p**7. Find the second derivative of f(i) wrt i.
12*i**2
Let c(w) = w**3 - 4*w**2 - w + 5. Let i be c(4). Differentiate 2*y**3 + i + 4*y**3 + 0*y**3 + 3 with respect to y.
18*y**2
Let z(f) be the second derivative of f**6/30 + 5*f**4/6 - 3*f. What is the third derivative of z(m) wrt m?
24*m
Let y(v) = 3*v**4 + 6*v**3 - 6*v**2 + 6*v - 12. Let c(x) = -x**4 - x**3 + x**2 - x + 1. Let w(a) = -6*c(a) - y(a). Differentiate w(o) with respect to o.
12*o**3
Let i(b) = 2*b**2 - 12*b + 5. Let n(p) = -3*p**2 + 18*p - 8. Let a(t) = 8*i(t) + 5*n(t). Find the second derivative of a(d) wrt d.
2
Let d(v) be the first derivative of -19*v**5/5 + 19*v**2/2 + 17. Find the second derivative of d(y) wrt y.
-228*y**2
Let q = -3 + 3. Suppose q = -z + 3. Find the third derivative of -i**z + 2*i**2 - i**3 - 3*i**2 wrt i.
-12
Let z(d) be the third derivative of -1/210*d**7 + 0*d**6 + 0*d**4 + 0*d + 0 + 0*d**5 - 6*d**2 + 2/3*d**3. Differentiate z(m) wrt m.
-4*m**3
Find the third derivative of 3*a**2 - 45*a**2 - 3*a**3 - a**4 + 3*a**4 - 4*a**3 wrt a.
48*a - 42
Let x(i) = -i**3 + 3*i**2 + 5*i - 2. Let j be x(4). What is the third derivative of 3*t**j + t**2 - 3*t**2 + 2*t**4 wrt t?
48*t
What is the second derivative of -25*u + 11*u**4 + 0*u**4 + 8*u**4 - u**4 wrt u?
216*u**2
Let s(l) be the second derivative of -1/12*l**4 + 2*l + 1/20*l**5 + 0*l**3 + 0*l**2 + 0. What is the third derivative of s(v) wrt v?
6
What is the second derivative of 4 - 4 - 7*w - 6*w**4 + w**4 wrt w?
-60*w**2
Let q(w) = -w**2 - 5*w - 1. Let h(c) = -c**2 - c. Let o(l) = -5*h(l) + q(l). Find the first derivative of o(y) wrt y.
8*y
Suppose 2 = -d, 2*x - 4*d = -5*d + 4. What is the second derivative of -x*k**2 - 3*k**2 - k**2 + 2*k + 5*k**2 wrt k?
-4
Let o(i) be the third derivative of 5*i**4/24 - 7*i**3/6 + 4*i**2. Find the first derivative of o(g) wrt g.
5
Let m(s) = s + 10. Let p be m(-5). Let l(v) = -v**3 + 3*v**2 + 6*v - 3. Let g be l(4). Find the second derivative of -3*h**p - h**g + 2*h**5 + 2*h wrt h.
-40*h**3
Let s(q) = -q**2 - 4*q + 6. Suppose 0 = 5*v + 2 - 27. Let c(p) = -p**2 - 5*p + 7. Let f(a) = v*s(a) - 4*c(a). What is the derivative of f(o) wrt o?
-2*o
Find the second derivative of 3*t + 4*t + t - 4*t**4 + 0*t**4 wrt t.
-48*t**2
Let j(p) be the first derivative of 0*p**2 - 4 - 1/3*p**3 - 3*p. What is the first derivative of j(a) wrt a?
-2*a
Let b(u) = -6*u**3 + 2*u**2 - 1. Let y(d) = d**3 - d**2 - 1. Let p = -6 + 7. Let f(j) = p*b(j) + 2*y(j). What is the derivative of f(v) wrt v?
-12*v**2
What is the second derivative of -2*p + 14 + 12 - 26 + 18*p**2 wrt p?
36
Suppose -2*h + 3 = -3. Suppose 2*l = -3*l + 15. What is the second derivative of n**3 - n - n**h - n**l wrt n?
-6*n
Let s = 21 - 4. What is the third derivative of 2*b**2 + 10*b**3 + 3*b**6 - s*b**3 + 7*b**3 wrt b?
360*b**3
Let b(j) be the second derivative of 1/6*j**3 + 0*j**2 - 9*j + 1/4*j**4 + 0. Find the second derivative of b(z) wrt z.
6
Let k(o) = -o**3 + 7*o**2 - 7*o + 8. Let h be k(6). What is the second derivative of -4*s**2 + 2*s + 4*s**2 + 0*s - h*s**5 wrt s?
-40*s**3
Let g(c) = 32*c**2 - 4*c + 7. Let q(i) = 30*i**2 - 4*i + 8. Let n(v) = 7*g(v) - 6*q(v). Find the second derivative of n(r) wrt r.
88
What is the derivative of 0*d**4 - 2 - 2*d**4 - 6*d**4 - 2 wrt d?
-32*d**3
Let a(k) = -14*k**2 + 3*k - 36. Let p(m) = 13*m**2 - 4*m + 36. Let y(d) = -4*a(d) - 3*p(d). What is the derivative of y(z) wrt z?
34*z
Suppose -3*m - f + 1 = 0, -5*m + 2*f + 14 = 5. Let s = 4 - m. Differentiate 4*i**3 + 6*i**s - 5*i**3 - 2*i**3 + 2 with respect to i.
9*i**2
Let s = 5 + 0. Let k = s - 5. Find the first derivative of -3*w + k*w + w + 5*w - 3 wrt w.
3
Let r(m) = -6*m - 2. Let g be r(-2). What is the second derivative of -g*s - s + s**3 + 4*s wrt s?
6*s
Suppose 3*i - 41 = -5*n - 15, i + 4*n = 18. Find the third derivative of -5*u**4 - u**i + 0*u**2 - u**2 wrt u.
-120*u
Differentiate -3*b**4 + 5*b**4 - b**2 + 0 + 47 + 18*b**2 with respect to b.
8*b**3 + 34*b
What is the third derivative of 0*b**5 - 17*b**2 - 9*b**2 - 2*b**5 wrt b?
-120*b**2
Differentiate 5 - 4*d**2 - d**2 - 5*d**2 - 4*d**2 with respect to d.
-28*d
Let t(k) be the second derivative of k**7/105 + k**4/12 - k**2 - k. Let q(w) be the first derivative of t(w). Find the second derivative of q(p) wrt p.
24*p**2
Let u(w) be the first derivative of -8*w**3/3 + 13*w**2 - 32. What is the second derivative of u(o) wrt o?
-16
Suppose -3*s + 10 = -0*s - 5*r, 5*s = -r + 26. What is the second derivative of s*d**5 + 8*d + 0*d**5 - 3*d**5 wrt d?
40*d**3
Let r(b) = -2*b - 12. Let d(x) = 2*x + 13. Let f(c) = -3*d(c) - 2*r(c). Differentiate f(l) wrt l.
-2
Let a(b) be the third derivative of -b**7/210 - b**6/90 + b**3/2 - 2*b**2. Let n(o) be the first derivative of a(o). Find the third derivative of n(z) wrt z.
-24
Let u(t) be the second derivative of t**7/840 + t**6/180 + t**4/6 + 4*t. Let v(w) be the third derivative of u(w). Find the second derivative of v(c) wrt c.
6
What is the first derivative of 6*l + 7*l - 13*l + 31 + 20*l**4 wrt l?
80*l**3
What is the second derivative of 41*t**5 - 87*t + 210*t - 90*t wrt t?
820*t**3
Let t(w) be the second derivative of 12*w**5/5 - 7*w**3/6 - 21*w. Find the second derivative of t(m) wrt m.
288*m
Differentiate 0*g - 6*g + g + 3 with respect to g.
-5
Let f(h) be the second derivative of h**3/3 + h**2/2 + 2*h. Let r be f(1). What is the second derivative of 3*s + s**3 + r - 3 wrt s?
6*s
What is the third derivative of m**3 + 35*m**3 - 125*m**2 + 171*m**2 wrt m?
216
Let t(m) be the second derivative of -m**6/180 - m**5/60 - m**3/2 - 2*m. Let u(o) be the second derivative of t(o). Find the second derivative of u(v) wrt v.
-4
Let c(r) be the third derivative of 7*r**6/120 - 13*r**5/60 - 3*r**2. What is the third derivative of c(b) wrt b?
42
Let n(u) = -35*u**3 - 11*u**2 + 41*u. Let i(o) = 18*o**3 + 6*o**2 - 21*o. Let b(j) = 11*i(j) + 6*n(j). What is the second derivative of b(y) wrt y?
-72*y
Let j(u) be the third derivative of -u**7/2520 + u**6/360 - u**5/20 - 3*u**2. Let t(h) be the third derivative of j(h). What is the derivative of t(k) wrt k?
-2
Let m(c) = -10*c**2 + 2. Let u(w) = -w**2. Let g = 20 - 12. Let f = -9 + 8. Let s(v) = f*m(v) + g*u(v). Differentiate s(x) wrt x.
4*x
Let b(q) be the first derivative of 7*q**5/5 - 8*q + 3. Differentiate b(p) with respect to p.
28*p**3
Let u = 6 + -5. What is the second derivative of u + n + n**3 - 1 + 0 wrt n?
6*n
Let i(f) be the second derivative of -f**6/60 - f**4/6 - 2*f**2 + f. Let r(p) be the first derivative of i(p). Find the second derivative of r(d) wrt d.
-12*d
Let j(b) be the third derivative of -3*b**7/35 + 9*b**5/20 - 22*b**2. What is the third derivative of j(z) wrt z?
-432*z
Let u(v) = -2*v - 4*v + 9 + 15*v**3 + 0 - 2. Let f