2
Let p(t) = -12*t**2 + 11*t. Let v(x) = 0*x + 3*x**2 - 5*x**2 + 0*x**2 + 2*x. Let s(l) = 6*p(l) - 34*v(l). What is the second derivative of s(n) wrt n?
-8
Let z = 1 + -1. Suppose 0 = 2*s + 2*s. What is the third derivative of -2*h**5 + h**2 + s*h**2 + z*h**5 wrt h?
-120*h**2
Let h(f) = -f**2 + f. Let t be h(1). Suppose t = l - 0*l - 2. What is the second derivative of 4*g + l*g**2 - 5*g**5 + g**5 - 2*g**2 wrt g?
-80*g**3
Suppose 0 = -3*m + 3 + 3. Find the second derivative of 0*p**2 + 0*p**2 - 2*p - m*p**3 wrt p.
-12*p
Suppose 6 = j + 1, -3*b + 4*j + 1 = 0. Let z = -4 + b. What is the second derivative of 2*o**4 - z*o**4 - 3*o + o - o**4 wrt o?
-24*o**2
Let y(w) = w**4 - w**3 - w. Let u(s) = -24*s**4 - 9 + 9 + 18*s**3 - 6 + 18*s. Let l(c) = -u(c) - 18*y(c). What is the first derivative of l(p) wrt p?
24*p**3
Find the first derivative of -3*q + 8 - 5 - 5 wrt q.
-3
Let s(u) = 3*u + 7. Let z(c) = -7*c - 13. Let t(k) = -7*s(k) - 4*z(k). What is the first derivative of t(f) wrt f?
7
Let l be (-4)/(-7)*7/2. Suppose -3*k - 2*k = -5*a, 9 = 5*k - 2*a. Find the third derivative of -3*m**2 - 2*m**2 + k*m**l - 3*m**4 wrt m.
-72*m
Let k be 28/(-8)*8/(-7). Let m(i) = i**3 + 4*i**2 + 3*i. Let a(d) = d**3 + 5*d**2 + 2*d. Let b(s) = k*a(s) - 5*m(s). Find the second derivative of b(t) wrt t.
-6*t
Find the second derivative of 29*k**4 + 5*k**2 - 14*k**2 - 9 + k + 9*k**2 wrt k.
348*k**2
Let i = -2 - -4. Suppose 5*s - 13 = 2*s - 4*v, 3*s - 8 = v. Find the second derivative of -2*t + t**3 + i*t**3 + 0*t**s wrt t.
18*t
Let k = 14 - 11. Find the third derivative of -7*p**2 - 2*p**2 - p**6 + k*p**2 wrt p.
-120*p**3
Let t(z) = -4*z**3 + 5*z**2 - 35*z - 5. Let y(n) = -2*n**3 + 2*n**2 - 18*n - 2. Let j(d) = -2*t(d) + 5*y(d). Find the second derivative of j(u) wrt u.
-12*u
Let s(d) = d + 6. Let z be s(-3). Find the second derivative of -f + 3 - 2*f**3 + 0 - z wrt f.
-12*f
Let l(y) = -6*y**3 - 16*y**2 - 36*y - 16. Let z(i) = i**3 + 3*i**2 + 7*i + 3. Let q(j) = -3*l(j) - 16*z(j). What is the second derivative of q(r) wrt r?
12*r
Let y(v) = -16*v**3 + 2*v - 26. Let o(g) = -g**3 + g - 1. Let n(x) = 3*o(x) - y(x). What is the second derivative of n(q) wrt q?
78*q
Find the first derivative of 4*u**3 + 25 - 3*u + 4*u + 0*u wrt u.
12*u**2 + 1
Let h = 4 - 2. What is the third derivative of 2*v**4 - v**h - v**2 + 4*v**2 wrt v?
48*v
Find the third derivative of -24*y**3 + 3*y**6 + 24*y**3 + 3*y**6 - 8*y**2 wrt y.
720*y**3
Let p(h) be the third derivative of -h**8/6720 - h**6/360 - h**5/60 - 3*h**2. Let a(i) be the third derivative of p(i). Differentiate a(c) wrt c.
-6*c
Let j(z) be the first derivative of z**4/3 + 2*z**3/3 - 3*z - 2. Let q(f) be the first derivative of j(f). Find the second derivative of q(i) wrt i.
8
Let m(u) be the second derivative of -2*u**3/3 - 25*u**2/2 + 5*u - 1. What is the derivative of m(w) wrt w?
-4
Let n(m) = 2*m**2 - 2*m + 3. Let d(u) = -2*u**2 + 3*u - 4. Suppose 2*r + 2 = -4. Let g(x) = r*d(x) - 4*n(x). What is the second derivative of g(b) wrt b?
-4
Find the second derivative of 127*c - 53*c - 60*c + 6*c**3 wrt c.
36*c
Let i(a) = 12*a - 13. Let p be ((-6)/9)/((-2)/18). Let k(j) = -6*j + 7. Let x(s) = p*i(s) + 11*k(s). What is the derivative of x(t) wrt t?
6
Suppose -3*m = -5*m + 5*g + 5, m = g + 4. What is the second derivative of 3*d + d**5 - 5*d + 2*d**m wrt d?
60*d**3
Let s(u) be the second derivative of -u**9/168 + u**5/20 + u**2/2 - u. Let v(p) be the first derivative of s(p). What is the third derivative of v(k) wrt k?
-360*k**3
Let n(k) be the first derivative of 39*k**2/2 - 24*k - 21. What is the derivative of n(j) wrt j?
39
Let a(k) be the third derivative of -k**8/48 + k**5/60 + 4*k**2. Find the third derivative of a(z) wrt z.
-420*z**2
Let q(x) = 11*x**2 - 6*x + 11. Let o(s) = s + 1. Let r(u) = 6*o(u) + q(u). Differentiate r(j) with respect to j.
22*j
Let a(q) be the third derivative of 5*q**4/24 + q**3 - 2*q**2. Find the first derivative of a(w) wrt w.
5
Let m(t) be the first derivative of 11*t**3 - 23*t**2/2 - 24. What is the second derivative of m(f) wrt f?
66
Let g(v) be the third derivative of 0*v + 1/112*v**8 + 0*v**6 + 0*v**7 + 0*v**3 + 0 + 2*v**2 + 0*v**5 - 1/12*v**4. What is the second derivative of g(c) wrt c?
60*c**3
Let l(n) be the third derivative of -5*n**8/84 + n**5/60 - 21*n**2. Find the third derivative of l(w) wrt w.
-1200*w**2
Suppose -10 + 4 = -2*g. Suppose 2 - 1 = r - z, -5*r - 4*z + 41 = 0. What is the derivative of 0*o**2 + o**2 + r - g wrt o?
2*o
Let u(o) be the third derivative of o**7/30 + o**3/6 - 10*o**2. What is the first derivative of u(l) wrt l?
28*l**3
Let v be -2*3/12*-20. What is the second derivative of -v*x - 3*x**5 + 11*x - 3*x wrt x?
-60*x**3
Let o(n) = 33*n**2 + 9*n - 7. Let u(h) = -17*h**2 - 4*h + 3. Let r(l) = -3*o(l) - 7*u(l). Find the second derivative of r(a) wrt a.
40
Let n = -12 + 15. Find the second derivative of -2 + n - u**5 + 8*u - 1 wrt u.
-20*u**3
Suppose 0*s - 5*m = 2*s - 5, 3*s + 5*m - 10 = 0. What is the second derivative of -6 - 4 + 6*y + 10 + 8*y**s wrt y?
160*y**3
Differentiate -3*i + 1 + 3 - 5 with respect to i.
-3
Let o(u) = -2 + 4 - 3*u + 1 - 6. Let y be o(-2). Differentiate 0*a**3 + 0*a**3 + a**3 - y wrt a.
3*a**2
Suppose -14 = -4*t + 2*v, -2*t - v + 3 = t. Find the first derivative of -1 - 2 - t*o**3 - 1 wrt o.
-6*o**2
Let j = 1 + 1. Suppose 4*p + 6 = 14. Differentiate 5 - 1 - l**j - p wrt l.
-2*l
Let h = 4 - 2. What is the first derivative of 1 - i + 0 + 6 - h*i wrt i?
-3
Suppose -z - 5*c = -1, -3*c = 3*z + z - 21. Let d = z - 4. Differentiate 3*m + d - 3*m + 2*m**4 wrt m.
8*m**3
Find the third derivative of -4*b**2 - 3*b**4 + 4*b**2 - 4*b**2 wrt b.
-72*b
Find the second derivative of 17*z**4 + 3*z + 3*z**4 + 5*z + 0*z**4 wrt z.
240*z**2
Let k(r) be the first derivative of 2*r**6/3 - 10*r**3/3 + 8. Find the third derivative of k(n) wrt n.
240*n**2
Suppose -4*s + 19 = 7. Let l be 6/(-4)*(-2 - 0). Find the third derivative of -l*g**2 + 2*g**2 - g**6 + s*g**2 wrt g.
-120*g**3
Let x(k) be the first derivative of -k**5/20 - 5*k**4/24 - 5*k**2/2 - 5. Let l(r) be the second derivative of x(r). What is the second derivative of l(n) wrt n?
-6
Let d(r) be the first derivative of 0*r**2 + 5*r - 7 - 1/5*r**5 + 0*r**3 + 0*r**4. Differentiate d(c) wrt c.
-4*c**3
Suppose -1 = p - 7. Suppose 4*k = 3*k + p. What is the derivative of -r**2 - 6*r + 2 + k*r wrt r?
-2*r
Let i be (-3)/2*2 + 6. What is the derivative of 0*m + i*m + 3*m + 2 - 7*m wrt m?
-1
Suppose 5*c - 2*n = 26, 0*n + 4*n - 4 = -4*c. Differentiate 2 + 1 + i**c - 4 wrt i.
4*i**3
Let r be ((-3)/9)/((-1)/(-3)). Let w(h) = -7*h**4 - 4*h**2 + 4*h - 3. Let v(b) = b**2 - b. Let d(g) = r*w(g) - 4*v(g). Find the first derivative of d(j) wrt j.
28*j**3
Let h(i) be the second derivative of -i**5/30 + i**3/6 + i**2/2 + 3*i. Let q(j) be the first derivative of h(j). Find the first derivative of q(n) wrt n.
-4*n
Let o(v) be the third derivative of 0*v**4 - 1/40*v**6 + 0 + 2*v**2 + 0*v + 0*v**3 - 1/20*v**5. What is the third derivative of o(p) wrt p?
-18
Suppose 3*r = b + 15, -7 = 4*b - r - 2. Suppose -2*i = 5*u - b*i - 32, u - 2 = 4*i. What is the third derivative of -2*z**2 + 2*z**u + z**6 + 4*z**2 wrt z?
360*z**3
Let r(s) = -s**3 - 2*s**2 + s. Let b(k) = 8*k**3 + 5*k**2 - 3*k + 20. Let d(n) = -b(n) - 3*r(n). Differentiate d(t) with respect to t.
-15*t**2 + 2*t
Let h(i) = 11*i**4 - 7*i**3 + 10*i. Let j(q) = -5*q**4 + 3*q**3 - 5*q. Let o(m) = -3*h(m) - 7*j(m). Find the second derivative of o(d) wrt d.
24*d**2
Suppose -3*o + 11 = -4. What is the third derivative of 0*d**2 + d**2 - 8*d**2 - o*d**4 wrt d?
-120*d
Suppose -2*s - 9 = -5*x, -5*x + 12 = -3*x + 2*s. What is the derivative of 3*t**2 + x - 2 - t**2 - 4*t**2 wrt t?
-4*t
Let v(r) be the first derivative of 11/4*r**4 + 0*r**3 - 11 + 11*r + 0*r**2. What is the derivative of v(x) wrt x?
33*x**2
Let l(k) = -8 - 11*k - 5 + 0*k - k**2. Let b(r) = -r**2 - 6*r - 7. Let s(i) = -11*b(i) + 6*l(i). What is the first derivative of s(t) wrt t?
10*t
Let u(h) be the first derivative of 20*h**3/3 - 42*h - 48. What is the derivative of u(b) wrt b?
40*b
Find the second derivative of 6*j**2 - 10*j**5 - 6*j**2 + 4*j**5 + 10*j wrt j.
-120*j**3
Let m be 12/(-30) - (-17)/5. Suppose 10 = m*i + 2*i. Find the thir