erivative of 2*p**2 + 32*p + 41*p - 24*p - p**2 wrt p?
2
Let u(w) be the first derivative of 1/5*w**5 + 0*w**3 + 0*w**4 + 0*w + 4 + 3/2*w**2. Find the second derivative of u(s) wrt s.
12*s**2
Find the first derivative of -5 - 3 - 27 - 18*t**2 wrt t.
-36*t
Let y(p) be the first derivative of p**2 + 0*p + 0*p**4 + 4 + 0*p**3 + 4/5*p**5. What is the second derivative of y(x) wrt x?
48*x**2
What is the third derivative of -6*n**5 - n**2 + 0*n**2 - 5*n**5 + 19*n**2 wrt n?
-660*n**2
Let g(u) be the second derivative of u**5/30 - u**4/12 + u**2/2 + u. Let k(c) be the first derivative of g(c). What is the second derivative of k(m) wrt m?
4
Suppose -p + 3 + 0 = t, 3*t = -4*p + 12. Find the second derivative of -4*w - w + 4*w + w**5 + p*w wrt w.
20*w**3
Let u(w) = -20*w**2 + 13*w + 16. Let d(x) = -5*x**2 + 3*x + 4. Let b(j) = 26*d(j) - 6*u(j). What is the first derivative of b(p) wrt p?
-20*p
Let y(r) be the first derivative of -r**4/4 - 11*r**3/3 + 6*r**2 + 3*r + 1. Let c be y(-12). Differentiate 4*l - 2*l - 8*l + c + 7*l wrt l.
1
What is the second derivative of 5*y**4 - 5*y - 2*y + 3*y**4 - y**4 wrt y?
84*y**2
What is the second derivative of n**5 + 3*n**5 - 5*n + 3*n + 10*n wrt n?
80*n**3
Let u(y) = -12*y**2 - 10*y. Let b(v) = v**2 - v. Let m(o) = 6*b(o) + u(o). What is the second derivative of m(r) wrt r?
-12
Let d(v) = v**3 + 3*v**2 + v - 2. Let k be d(-2). What is the second derivative of 2*g - 3*g + k*g - g**3 wrt g?
-6*g
Let d(j) = 3*j**3 - 30*j**2 - 4*j + 41. Let c(o) = 4*o**3 - 31*o**2 - 5*o + 41. Let q(t) = -4*c(t) + 5*d(t). What is the derivative of q(i) wrt i?
-3*i**2 - 52*i
Let n(b) = 54*b**3 + 41*b**2 + 6. Let y(k) = 54*k**3 + 42*k**2 + 7. Let l(h) = -7*n(h) + 6*y(h). Find the third derivative of l(x) wrt x.
-324
Let i(r) = -15*r**2 + 5*r - 6. Let a(k) = 7*k**2 - 3*k + 3. Let q(h) = 5*a(h) + 3*i(h). Find the first derivative of q(o) wrt o.
-20*o
Let b = 4 + -3. Let o be (-1)/((-1)/b)*5. What is the third derivative of p**2 + 1 - 2*p**o - 1 wrt p?
-120*p**2
Let u(m) be the third derivative of -2*m**5/3 + m**4/3 + 24*m**2. What is the second derivative of u(q) wrt q?
-80
Let p(r) = -620*r**3 - 640*r**2 - 55. Let c(u) = 69*u**3 + 71*u**2 + 6. Let k(l) = -55*c(l) - 6*p(l). What is the third derivative of k(j) wrt j?
-450
Let o(x) be the second derivative of -x**8/560 + x**5/40 + x**3/3 + 3*x. Let s(t) be the second derivative of o(t). Find the second derivative of s(c) wrt c.
-36*c**2
Let r(l) be the first derivative of l**8/840 + l**5/60 + l**3/3 + 2. Let k(x) be the third derivative of r(x). What is the second derivative of k(j) wrt j?
24*j**2
Let i(x) be the third derivative of -x**7/1260 + x**5/40 - x**4/24 - x**2. Let g(o) be the second derivative of i(o). Differentiate g(z) wrt z.
-4*z
Let p(n) be the second derivative of -n**4 - 4*n**2 - 13*n. Find the first derivative of p(v) wrt v.
-24*v
Find the second derivative of 7*n - 106 - 14*n**5 + 106 wrt n.
-280*n**3
What is the second derivative of 7*d - 5*d - 687 + 682 + 4*d**4 - 4*d**5 wrt d?
-80*d**3 + 48*d**2
Let h(v) = -3*v - 6. Let i be h(-12). Let t(p) = -1. Let g(f) = -6*f - 36. Let r(s) = i*t(s) - g(s). What is the first derivative of r(l) wrt l?
6
Let n(s) be the first derivative of -8/5*s**5 + 0*s**4 - 8/3*s**3 + 4 + 0*s + 0*s**2. Find the third derivative of n(g) wrt g.
-192*g
Let n(p) = 5*p**3 + p**2 - 15*p - 1. Let d(g) = -g**2 - g + 1. Let x(a) = -d(a) - n(a). Find the second derivative of x(c) wrt c.
-30*c
Let k(m) = 9*m**2 - 16*m + 4. Let g(z) = -17*z**2 + 32*z - 9. Let i(w) = 4*g(w) + 9*k(w). Find the second derivative of i(f) wrt f.
26
Find the first derivative of 5 + 16*n - 35*n + 19*n + 3*n**3 wrt n.
9*n**2
Let g(q) = -q**5 - q**4 - q. Let h(p) = -37*p**5 + 6*p**4 - 20*p**2 + 6*p - 2. Let u(z) = 6*g(z) + h(z). What is the third derivative of u(m) wrt m?
-2580*m**2
Suppose 0 = -3*t - 1 + 4. What is the derivative of 16*m**2 - 3 - t - 20*m**2 wrt m?
-8*m
Let v = 18 - 17. Let w(q) be the first derivative of 0*q**3 + 0*q**4 + 0*q**2 - 1/5*q**5 + v - 2*q. What is the derivative of w(m) wrt m?
-4*m**3
Let i(h) = 8*h**3 - 1. Let q be i(1). Suppose -4*f = 20, -4*r + 0*f + q = f. What is the third derivative of s**6 - 3*s**3 + 3*s**r - s**2 wrt s?
120*s**3
Let d(i) be the first derivative of 5*i**6/6 - 8*i**3/3 - 21. What is the third derivative of d(c) wrt c?
300*c**2
Let m(r) = -2*r - 5. Let n be m(-4). Suppose 2*u + 3*h + 2 = -n*u, h + 4 = 0. Find the third derivative of -i**4 + 2*i**u - i**4 + 3*i**4 wrt i.
24*i
Let c(s) be the first derivative of -16*s**6/3 - 17*s**2/2 - 22. Find the second derivative of c(q) wrt q.
-640*q**3
Suppose 4*k - 7 = 13. What is the third derivative of o**4 - 3*o**2 - k*o**4 + o**4 wrt o?
-72*o
Let c(s) be the third derivative of 5*s**8/168 + s**4/8 - 5*s**2. Find the second derivative of c(q) wrt q.
200*q**3
Suppose 2 = 4*i - 3*i, i = -3*j + 2. Let a(m) be the third derivative of 1/6*m**3 + j + 1/6*m**4 + 4*m**2 + 0*m. What is the derivative of a(n) wrt n?
4
Let b(o) be the third derivative of 0*o**5 - 1/70*o**7 - 3*o**2 + 1/2*o**3 + 0 + 0*o + 0*o**6 + 0*o**4. What is the first derivative of b(s) wrt s?
-12*s**3
Let c = -3 + 3. What is the third derivative of b**2 + c + 0 - b**5 wrt b?
-60*b**2
Let s(o) be the third derivative of -9*o**6/40 + 4*o**3 - 24*o**2. What is the derivative of s(n) wrt n?
-81*n**2
Let a(l) be the first derivative of -15*l**4/4 - 11*l - 16. Differentiate a(b) wrt b.
-45*b**2
Suppose -6 = -3*k - 0*k. Let i be 14/6 + k/(-6). What is the third derivative of 3*c**2 - 3*c**6 - i*c**2 + 2*c**6 wrt c?
-120*c**3
Let c(d) = 15*d**2 + 40. Let r(b) = 15*b**2 + 40. Let p(i) = 3*c(i) - 2*r(i). Differentiate p(s) wrt s.
30*s
Let r(n) be the third derivative of n**8/84 - 7*n**4/24 + 11*n**2. Find the second derivative of r(f) wrt f.
80*f**3
Let q be 6/(-18) - 14/(-6). Differentiate 5*t - 4*t - t - 3 - t**q wrt t.
-2*t
What is the second derivative of -33*t + 57*t**3 + 42 - 17 - 15 - 12 wrt t?
342*t
Suppose 3*a - 7 = -4*u + 2*u, 8 = -2*u. Suppose -3*b - 3*s = -15, b - 1 - 8 = -a*s. Find the second derivative of 2*o - 2*o**b + 0*o - 3*o wrt o.
-24*o**2
Let l(f) = -6*f**3 - 3*f + 2. Let u(p) = p - 5 + 13*p**3 + 0*p + 3*p + 3*p. Let d(v) = -7*l(v) - 3*u(v). What is the derivative of d(y) wrt y?
9*y**2
Find the second derivative of 7*z + 33*z**2 + 3*z + 4*z wrt z.
66
Find the second derivative of -7*x + 3*x**5 + 5*x**5 + 0*x - 2*x**5 wrt x.
120*x**3
Let z(u) = -4*u**3 + 8*u - 2. Let n(s) = -12*s**3 + 24*s - 7. Let j(i) = 2*n(i) - 7*z(i). What is the second derivative of j(b) wrt b?
24*b
Suppose 0*d + 5*d - 10 = 0. Suppose d*r = -3*r. Find the first derivative of -x**3 + 4*x**3 + 2 + r*x**3 wrt x.
9*x**2
Suppose 4*h - 2 = 14. Let p(b) be the second derivative of -b + 0*b**h - 1/6*b**3 + 0 + 0*b**2 + 1/20*b**5. Find the second derivative of p(k) wrt k.
6*k
Suppose 0 = 3*i + 4*w + 6, -4*i + i - 2*w = 0. Suppose i*u = 4 + 6. What is the second derivative of -3*v**4 - u*v + v + v wrt v?
-36*v**2
Let d(m) be the first derivative of 0*m**3 + m**2 + 0*m - 9 + 9/5*m**5 + 0*m**4. Find the second derivative of d(n) wrt n.
108*n**2
Let k(b) = b. Let a be k(5). Find the second derivative of a*r**2 - 2*r**2 - r**4 - 3*r - 3*r**2 wrt r.
-12*r**2
Let d(s) be the third derivative of 2*s**4/3 - 2*s**3 + 11*s**2. Find the first derivative of d(t) wrt t.
16
Let z be ((-2)/7)/((-3)/21). What is the second derivative of -i + 3*i**z - 5 + 1 + 4 wrt i?
6
Let h(b) be the second derivative of b**5/30 + b**3/3 - b**2/2 - 2*b. Let i(y) be the first derivative of h(y). Find the first derivative of i(c) wrt c.
4*c
Let s = -15 - -18. What is the derivative of -2*x**2 + 6*x**2 - s + x**2 wrt x?
10*x
Let k(u) be the first derivative of 13*u**4/2 - 7*u - 44. Differentiate k(p) wrt p.
78*p**2
Let z(x) be the first derivative of -10*x**4 + 2*x**3/3 - 61*x + 64. Find the third derivative of z(f) wrt f.
-240
Let t(p) = p**3 - p**2. Suppose 9*m + 5 = 4*m. Let i(q) = 6*q**3 - 3*q**2 - q. Let s(o) = m*i(o) + 3*t(o). What is the second derivative of s(h) wrt h?
-18*h
Let k(g) be the first derivative of -2*g + 3/2*g**2 - 1. What is the first derivative of k(a) wrt a?
3
Let p(n) = 36*n**2 + 9*n + 12. Let v(d) = 9*d**2 + 2*d + 3. Let s(r) = 2*p(r) - 9*v(r). What is the derivative