12*r**2
Let x(q) be the second derivative of -39*q**5/20 + 4*q**3/3 - 28*q. Find the second derivative of x(m) wrt m.
-234*m
Let z(m) be the first derivative of -3*m**5/5 - 3*m - 1. What is the derivative of z(u) wrt u?
-12*u**3
Let c(y) = 18 - 6*y**3 - 14 - 3*y**4 + 2*y**3 - y. Let q(l) = 4*l**4 + 5*l**3 + l - 5. Let b(o) = -5*c(o) - 4*q(o). What is the second derivative of b(w) wrt w?
-12*w**2
Let l(r) be the third derivative of -5*r**8/112 + r**4/6 + 7*r**2. What is the second derivative of l(k) wrt k?
-300*k**3
Let q(d) = -11*d - 11. Let s(v) = 1. Let z(i) = -q(i) - 22*s(i). Differentiate z(u) with respect to u.
11
Let g(y) be the first derivative of 2/7*y**7 + 4 + 0*y**5 + 4/3*y**3 + 0*y**6 + 0*y**4 + 0*y + 0*y**2. What is the third derivative of g(h) wrt h?
240*h**3
Let b(v) be the third derivative of v**8/28 + v**4/8 + 14*v**2. Find the second derivative of b(u) wrt u.
240*u**3
Let r(k) be the second derivative of -k**6/10 + 3*k**4/4 - 2*k. Find the third derivative of r(d) wrt d.
-72*d
Let q(s) = -s - 6. Let v(l) = 3. Let g(r) = 2*q(r) + 5*v(r). What is the first derivative of g(m) wrt m?
-2
Let z(p) = -p**2 - p + 66. Let r be z(0). Let b be r/18 - 2/3. Find the third derivative of -x**2 + 0*x**3 + b*x**2 - x**3 wrt x.
-6
Let r = -2 + 5. Suppose 9 = r*u - 0. Differentiate 2 - 7*x**4 - 4*x**u + 4*x**4 + 4*x**3 wrt x.
-12*x**3
Let u be 1/(-3*(-3)/36). Suppose u = 5*w - 6. Differentiate 2 - w + x**2 - 2 with respect to x.
2*x
Suppose 2*t + 2*t - 16 = 0. Let n = -1 + t. What is the third derivative of -7*c - n*c**2 + 7*c + 2*c**6 wrt c?
240*c**3
Let m = 17 - 16. Find the first derivative of m - g**2 + 3*g**2 + 5*g**2 - 2 wrt g.
14*g
Suppose 5*g + 20 = -3*j, 5*j = -2*g + 7*g - 20. Let p = g + 4. Find the third derivative of a**4 - p*a**2 + 0*a**2 - 3*a**3 + 3*a**3 wrt a.
24*a
What is the second derivative of 17*y + 20*y**3 + 17*y**3 - 10*y**3 + 6*y**3 wrt y?
198*y
Let d(p) = -23*p**2 - 9. Let h be -1 + 2 + 1 - -2. Let y = -31 + 20. Let x(q) = -8*q**2 - 3. Let v(j) = h*d(j) + y*x(j). Differentiate v(l) wrt l.
-8*l
Let z(p) be the second derivative of -5/6*p**3 + 2*p + 0*p**6 + 0*p**2 + 0*p**4 + 0*p**5 - 1/7*p**7 + 0. What is the second derivative of z(o) wrt o?
-120*o**3
Let m(c) be the first derivative of -3 - 2*c + 2*c - 2*c**2 + 0*c**2 + c. What is the derivative of m(f) wrt f?
-4
Let h(i) be the second derivative of 0*i**5 + 0*i**3 + 1/14*i**7 + 0 - 2*i + 0*i**6 - 1/12*i**4 + 0*i**2. What is the third derivative of h(o) wrt o?
180*o**2
Suppose -14 + 5 = -3*u. Let l(y) = 8*y**2 - 8. Let r(k) = -7*k**2 + 7. Let w(v) = u*l(v) + 4*r(v). What is the derivative of w(o) wrt o?
-8*o
Let l(c) = 2*c - 1. Let p(s) = -s**4 + 5*s - 3. Suppose 0 = -w + 3*w - 20. Let n(q) = w*l(q) - 4*p(q). Differentiate n(h) with respect to h.
16*h**3
Let j(s) = 40*s**5 - 5*s**3 - 40*s - 5. Let i(f) = f**5 - f**3 - 1. Let v(x) = -5*i(x) + j(x). What is the second derivative of v(h) wrt h?
700*h**3
Let x(c) = 2*c + 1. Let o be 1 + (3 - 1)*1. Let j(t) = -t - o*t + 6*t. Let d(p) = -3*j(p) + 2*x(p). Differentiate d(k) wrt k.
-2
Let g(c) be the first derivative of -c**6/180 + 5*c**4/24 + 4*c**3/3 + 2. Let v(n) be the third derivative of g(n). What is the first derivative of v(a) wrt a?
-4*a
Let x(n) = 4*n**3 - 2*n + 1. Let z be x(1). Suppose 2*s = c + z*s - 3, 3*s = 2*c - 6. What is the second derivative of c*g - g**5 + 2*g**5 - g wrt g?
20*g**3
Let r(n) = -n**2 + 9*n - 4. Let f be r(7). Suppose -f = -6*l + l. What is the second derivative of -m**5 - m - 2*m**2 - 2*m + l*m**2 wrt m?
-20*m**3
Let i(y) be the second derivative of -y**5/10 + 7*y**3/6 + 5*y. Find the second derivative of i(t) wrt t.
-12*t
Let u(y) = 7*y**3 + 4*y**2 - 4*y - 9. Let c(t) = -t**2 + t + 1. Suppose 8 = -r + 3*r. Let o(k) = r*c(k) + u(k). What is the derivative of o(p) wrt p?
21*p**2
What is the third derivative of 2*c**4 + 5*c**4 + 10*c**4 + 19*c**2 wrt c?
408*c
Let q(p) = p**2 + 8*p - 3. Let b be q(-8). Let g be (3 + b)*1/2. Find the second derivative of -f + g*f**2 + 0*f**2 - 2*f**4 + f**4 wrt f.
-12*f**2
Let a = -3 + 5. Let y be 66/15 + (-4)/10. Differentiate 0*f**2 - a*f**2 - 1 + y wrt f.
-4*f
What is the second derivative of 360*y**3 - 4*y - 349*y**3 + 5*y wrt y?
66*y
What is the third derivative of -4*i**4 + 2*i**2 + 2*i**2 + 10*i**4 wrt i?
144*i
Let x(d) be the third derivative of d**5/15 - d**3/3 + 7*d**2. Let w(k) = 4*k**2 - 1. Let m(s) = -6*w(s) + 4*x(s). What is the derivative of m(z) wrt z?
-16*z
Let a(w) be the second derivative of w**9/15120 - w**7/1260 + w**4/6 + 4*w. Let z(v) be the third derivative of a(v). Find the third derivative of z(s) wrt s.
24*s
Let b(o) be the first derivative of -11*o**4/2 - 8*o + 1. Differentiate b(h) wrt h.
-66*h**2
Let q(h) be the second derivative of 11*h**5/20 + h**3/6 + 4*h. What is the second derivative of q(k) wrt k?
66*k
Let i(a) = -30*a**2 - 3*a. Let v(s) = 29*s**2 + 3*s. Let l(o) = 5*i(o) + 6*v(o). What is the second derivative of l(d) wrt d?
48
Let s(u) = u**2 + u - 1. Let z(r) = 51*r**4 - 33*r**2 - 4*r + 4. Let t(b) = -4*s(b) - z(b). What is the third derivative of t(p) wrt p?
-1224*p
Let s be (8/(-20))/(1/(-5)). Let c(x) be the second derivative of 1/3*x**3 + 0 - 3*x - 2*x**s. What is the first derivative of c(q) wrt q?
2
Let m(a) = 6*a**5 + 5*a**4 - 5*a**2 - a - 5. Let w(o) = -6*o**5 - 4*o**4 + 4*o**2 + 4. Let y(p) = -4*m(p) - 5*w(p). Find the second derivative of y(b) wrt b.
120*b**3
Find the third derivative of 0*f**4 + 6*f**3 - 7*f**4 - 6*f**3 + 7*f**2 wrt f.
-168*f
Let f(d) = 27*d**4 - 2*d**3 - 2*d**2 + 2*d - 11. Let c(v) = -v**4 + v**3 + v**2 - v + 1. Let g(h) = 2*c(h) + f(h). Differentiate g(r) with respect to r.
100*r**3
Let f = -16 + 21. Find the second derivative of -4*y + 13*y + y**5 + 3*y**f wrt y.
80*y**3
Let p(t) be the third derivative of -5*t**9/252 - 8*t**5/15 + t**2. Find the third derivative of p(u) wrt u.
-1200*u**3
Let c be ((-8)/12)/(-1) - (-5)/6. Let d(w) be the second derivative of 0 - 2/3*w**3 + 4*w - c*w**2. Differentiate d(o) wrt o.
-4
Let q(w) be the third derivative of -7*w**6/120 + w**4/6 - 19*w**3/2 - w**2 + 28. Differentiate q(v) with respect to v.
-21*v**2 + 4
Let k(u) be the first derivative of -u**5/20 - 3*u**2/2 - 2*u + 1. Let g(t) be the first derivative of k(t). Differentiate g(n) wrt n.
-3*n**2
Suppose -4*k + 5*q + 4 = -3*k, 3*k - 28 = -q. What is the second derivative of 10*d**4 - 3*d + 4*d - k*d**4 wrt d?
12*d**2
Let g(q) be the second derivative of 5*q**4/12 - 6*q**2 + 11*q. Differentiate g(b) with respect to b.
10*b
Let o = 16 - 25. Let x be (-6)/9*o + 0. What is the derivative of x - 4 - 3*b + 5*b wrt b?
2
What is the first derivative of 29 - 42*y**3 + 44*y**3 + 25*y**3 wrt y?
81*y**2
Suppose o + 2*v = 16, 8*o = 3*o + v + 25. What is the second derivative of -a**4 - a**4 + o*a - a**4 - 3*a wrt a?
-36*a**2
Let r(a) be the second derivative of -a**11/13860 + a**7/504 + a**4/6 - 4*a. Let x(h) be the third derivative of r(h). Find the third derivative of x(p) wrt p.
-480*p**3
Let h(s) = 21*s + 10. Let q(z) = z. Let f(a) = h(a) + 3*q(a). What is the first derivative of f(m) wrt m?
24
Let l be 2 - (3 + -4 + 1). What is the first derivative of -6*r + 6*r + 3 + 5*r**l wrt r?
10*r
Let z(v) = -v + 1. Let h be z(-1). Let p(i) = i**2 - i - 2. Let l be p(h). What is the third derivative of b**6 - b**2 + l*b**2 - b**2 wrt b?
120*b**3
Let a(k) be the third derivative of 0*k**4 - 1/30*k**5 + 0*k**6 + 0*k + 0*k**3 + 2/105*k**7 + 4*k**2 + 0. What is the third derivative of a(j) wrt j?
96*j
Suppose -d - 40 = -5*t + 4*d, 0 = -3*t - 3*d - 6. What is the second derivative of -2*u**4 + 4*u - 3*u**2 + t*u**2 wrt u?
-24*u**2
Let y(m) = -m**2 - m + 3. Suppose 0 = 3*k - 2*k. Let b be y(k). Find the second derivative of -4*s**3 - 4*s**3 + b*s**3 - 2*s + 6*s**3 wrt s.
6*s
Let x(d) be the third derivative of 37*d**5/60 + d**4/6 - 4*d**3/3 + d**2 - 10*d. Find the second derivative of x(w) wrt w.
74
Suppose -3*j + 14 - 38 = -3*y, 4*j + 12 = 0. Suppose -y*u - o + 23 = 2*o, -u - 4*o + 8 = 0. What is the derivative of u - 3 + 2*f**3 + 0 wrt f?
6*f**2
Let c(y) = 24*y**3 + 4*y**2 + 26. Let o(b) = b**3 + 1. Let j(p) = -6*c(p) + 156*o(p). What is the third derivative of j(s) wrt s?
72
Let r(i) = i**3 - 4*i**2 - 3. Suppose d - 6*d = -