
Suppose 0 = 2*x - 5*k - 20, -2*x - 3*k - 12 = -x. Let n(y) be the second derivative of 0 + x*y**3 - 1/4*y**4 - y**2 + 3*y. Differentiate n(t) wrt t.
-6*t
Let u(j) be the second derivative of -2*j**5/15 - 7*j**3/6 - 3*j**2 - 2*j. Let r(x) be the first derivative of u(x). Differentiate r(o) wrt o.
-16*o
Suppose 2*n + 3*n = -5. Let d be 1*(2 + n) + 1. Find the second derivative of -2*o**4 - o - 2*o**2 + 2*o**d wrt o.
-24*o**2
Let p be (4 - 4)*(0 + 1). Let l(v) be the second derivative of 1/3*v**3 + 2*v - v**2 + p. Differentiate l(s) wrt s.
2
Find the third derivative of 0*d**6 - 6*d**2 + d**6 - 6 + 6 wrt d.
120*d**3
Let s be 1/(-4*1/(-8)). Let g = -7 + 12. What is the second derivative of -s*p + 2*p**5 + 0*p**5 - 3*p**g - p**5 wrt p?
-40*p**3
Let r(v) be the third derivative of 0*v**3 + 0*v**5 - 1/4*v**4 + 0*v - 1/30*v**7 + 0 - v**2 + 0*v**6. Find the second derivative of r(h) wrt h.
-84*h**2
Find the second derivative of -6*i**3 + 1 + i**3 - 1 - i wrt i.
-30*i
Let x be (-8)/(-6)*117/52. Find the third derivative of x*h**4 + h**2 + 7*h**4 + 2*h**4 - 3*h**4 wrt h.
216*h
What is the second derivative of 27*p**5 - 32*p**5 + 16*p**5 + 12*p wrt p?
220*p**3
Suppose 5*r + 3 = -m + 3*r, 0 = 3*m + 3*r - 3. Find the second derivative of -p + 4*p**5 + 0*p - 7*p**m wrt p.
-60*p**3
What is the third derivative of 5*r**2 - 2*r**2 - 8*r**2 + 5*r**6 wrt r?
600*r**3
Let o(h) = -15*h**2 + 21*h - 33. Let f(z) = 4*z**2 - 5*z + 8. Let t(q) = 21*f(q) + 5*o(q). Find the first derivative of t(g) wrt g.
18*g
Let r(u) = -31*u**3 + 25*u**2 - 5*u. Let i(g) = 31*g**3 - 25*g**2 + 6*g. Let k(a) = 5*i(a) + 6*r(a). Find the third derivative of k(f) wrt f.
-186
Let q be (-7)/(-2)*3/21. Let r(p) be the first derivative of 0*p - 1/3*p**3 + 0*p**2 - q*p**4 - 1. Find the third derivative of r(g) wrt g.
-12
Let j(b) = -5*b - 3. Let v(x) = -9*x - 5. Let n(z) = 5*j(z) - 2*v(z). Differentiate n(a) wrt a.
-7
Let z(j) be the second derivative of 5*j**6/6 + 5*j**3/2 + 11*j + 1. Find the second derivative of z(y) wrt y.
300*y**2
Let l(b) = 4*b**2 + 6*b - 9. Let z(d) = d**2 + 10*d - 16. Let x be z(-11). Let n(i) = -3*i**2 - 5*i + 8. Let w(f) = x*l(f) - 6*n(f). Differentiate w(u) wrt u.
-4*u
Let b(k) be the second derivative of -9*k**5/20 + 5*k**4/6 - 2*k. Find the third derivative of b(z) wrt z.
-54
Let w be ((-4)/(-6))/(1/3). Differentiate -1 - 3*f**w + 3*f**2 + f**2 + 0 with respect to f.
2*f
What is the second derivative of 7*m**3 + 8*m - m**3 + 4*m**3 - 5*m**3 wrt m?
30*m
Let c be 18/(-10) - (-7)/(-35). Let n be ((-4)/2 - c)/2. What is the second derivative of -3*v + v + n*v**2 + v**2 wrt v?
2
Let i(b) be the first derivative of 0*b**2 + 0*b**4 - 4/3*b**3 + 0*b - b**5 + 2. Find the third derivative of i(x) wrt x.
-120*x
Suppose 0 = -0*z - 2*z. Let q(i) be the first derivative of 0*i**4 - 3 + 0*i**3 - 4/5*i**5 + z*i - 2*i**2. Find the second derivative of q(w) wrt w.
-48*w**2
Let l(w) be the second derivative of 4*w**6/15 - 3*w**3/2 - 9*w. Find the second derivative of l(q) wrt q.
96*q**2
What is the second derivative of 14*n**5 - n + 6*n - 11*n**5 wrt n?
60*n**3
Let b(j) be the second derivative of 29*j**4/12 + 23*j**3/6 - 27*j. Find the second derivative of b(v) wrt v.
58
Let j(y) be the third derivative of 1/168*y**8 - 3*y**2 + 0*y**3 + 0 + 1/24*y**4 + 0*y + 0*y**5 + 0*y**6 + 0*y**7. What is the second derivative of j(n) wrt n?
40*n**3
Suppose 2*a + 25 = 3*z, -z = -a - 4 - 7. Let r be (a - -4)*(-6)/4. What is the third derivative of -2*m**2 - 3*m**r + 2*m**6 + 0*m**6 wrt m?
-120*m**3
Let g(x) = -9*x. Let l be g(-1). Suppose 2*h + h = l. What is the third derivative of -2*i**4 - 3*i**3 - 2*i**3 + 3*i**2 + 5*i**h wrt i?
-48*i
Let w = 3 + 5. Suppose 0 = -4*o - 4*x - w, -4*o = -2*o + x. Find the second derivative of -o*h**4 - 2*h**2 + 2*h + 2*h**2 wrt h.
-24*h**2
Let o(q) be the second derivative of q**9/504 + q**5/20 - q**2 + 2*q. Let p(z) be the first derivative of o(z). Find the third derivative of p(j) wrt j.
120*j**3
Find the first derivative of 18*c + 30*c - 3 - 1 - 13*c wrt c.
35
Let h(v) = 4*v**3 + 17*v + 7. Let a(u) = 2*u**3 + 9*u + 4. Let w be (1 + 0)/(4/16). Let z(s) = w*h(s) - 7*a(s). What is the second derivative of z(k) wrt k?
12*k
Suppose -9*v = -21 + 3. Let s(w) be the third derivative of 1/30*w**5 - 2*w**v + 0*w + 1/3*w**3 + 0 + 0*w**4. Find the first derivative of s(j) wrt j.
4*j
Let l = -5 - -9. What is the first derivative of -l*f - 4 - 3*f + 6 + 4*f wrt f?
-3
Let j(z) = -z**2 + 17*z - 15. Let k(c) = c - 1. Let v(o) = 6*j(o) - 102*k(o). What is the derivative of v(n) wrt n?
-12*n
Let r be 3/(-12) + 34/8. Differentiate 6 + 3 - 2 - 3 - 5*g**r with respect to g.
-20*g**3
Find the third derivative of 3*m**5 - m**4 - 2*m**5 - 2*m**2 + m**4 wrt m.
60*m**2
Differentiate c**4 + 10 - 2 + c**4 - 5*c**4 with respect to c.
-12*c**3
Let z be (-11)/3*(3 - 12). Suppose -4*w + 16 = -2*l, -4*w - 13 = -z. What is the second derivative of 8*f - f**2 - 6*f + f**2 + l*f**4 wrt f?
24*f**2
Let t(n) be the first derivative of -n**6/6 + 3*n**2 + 4*n - 2. Let y(p) be the first derivative of t(p). Differentiate y(s) with respect to s.
-20*s**3
Find the second derivative of 0*r**5 + 9*r**5 + 2*r - 5*r wrt r.
180*r**3
Let o(w) = 15*w**4 + 9*w**3 + 3*w**2 + 9*w + 9. Let u(r) = r**4 + r**3 + r + 1. Let g(d) = -o(d) + 9*u(d). What is the third derivative of g(m) wrt m?
-144*m
Let r(d) be the second derivative of d**7/7 - d**4/6 + 6*d. What is the third derivative of r(o) wrt o?
360*o**2
Differentiate -13*r + 3*r + 28 + 10*r - 34*r**2 wrt r.
-68*r
What is the third derivative of 154*i**6 - 139*i**6 - 9*i**2 + 2*i**5 - 2*i**5 wrt i?
1800*i**3
Let w(t) be the first derivative of -5 + 0*t**2 - 4*t - 5/3*t**3. Differentiate w(v) with respect to v.
-10*v
Let a(o) be the first derivative of o**7/30 - 3*o**3/2 + 3*o**2 - 10. Let p(g) be the second derivative of a(g). Differentiate p(f) wrt f.
28*f**3
Let g(p) = p**2 + 0*p**2 + p + 0*p**2. Let n(a) = -7*a**2 - 4*a + 1. Let y(t) = -4*g(t) - n(t). Differentiate y(k) wrt k.
6*k
Let c(a) be the third derivative of 13*a**6/120 - 47*a**3/6 - 41*a**2. Differentiate c(v) with respect to v.
39*v**2
Let r = -23 + 36. Suppose -13 = -4*v + 2*d + 9, -v = -3*d - r. Find the third derivative of n**5 - v*n**2 + n**2 + 0*n**2 wrt n.
60*n**2
Let u(o) be the second derivative of o**6/15 - o**2/2 + 2*o. What is the derivative of u(a) wrt a?
8*a**3
Suppose 0*d = 3*o + 3*d - 9, o + 9 = -5*d. What is the derivative of 2 + 7*q - 2*q - o*q wrt q?
-1
Suppose -2*v + 10 = -0*v. What is the second derivative of -2*b**4 - v*b**4 + 2*b + 4*b**4 - 5*b wrt b?
-36*b**2
Let f(c) = -33*c**2 + 3*c - 5. Let t(g) = -34*g**2 + 4*g - 4. Let d(p) = 4*f(p) - 3*t(p). Differentiate d(l) wrt l.
-60*l
What is the third derivative of -37*s**4 + 28*s**4 + 26*s**4 + 10*s**2 wrt s?
408*s
Let f(g) = -g**3 + g. Let i be f(0). Let d = 2 + i. Differentiate 1 + 2 + s**2 - d with respect to s.
2*s
Let x(h) = h - 6. Let i be x(6). Suppose 0*l - l + 5 = i. Find the second derivative of -7*k + l*k - k - 3*k**3 + 6*k wrt k.
-18*k
Let d(w) be the second derivative of -w**7/2520 - w**5/40 - w**4/12 + w. Let r(p) be the third derivative of d(p). Find the first derivative of r(k) wrt k.
-2*k
Let c(v) be the first derivative of 3/2*v**2 + 6 + 0*v**5 + 0*v**3 + 2/3*v**6 + 0*v + 0*v**4. What is the second derivative of c(h) wrt h?
80*h**3
Let v(x) = 13*x**3 - 5*x**2 - 5*x - 4. Let g(o) = -o**3 + o**2 + o + 1. Let i(d) = -5*g(d) - v(d). Differentiate i(u) wrt u.
-24*u**2
Let v(n) = 11*n**2 - 30. Let o(h) = -10*h**2 + 29. Let x(j) = -7*o(j) - 6*v(j). What is the first derivative of x(m) wrt m?
8*m
Suppose -u - 5 = -3*d - 2*u, d + u = 1. Let h(p) = -p**3 + 3*p**2 + 6*p - 6. Let k be h(4). Differentiate 2*b**2 + b**2 - b**k - d wrt b.
4*b
Let u(g) be the first derivative of 1/2*g**2 - 4 + 0*g + 1/3*g**3. Find the second derivative of u(x) wrt x.
2
Let w = 30 - 25. What is the third derivative of d**2 + 2*d**5 - 4*d**w - 7*d**2 - 4*d**5 wrt d?
-360*d**2
Let h(u) be the second derivative of u**9/3780 - u**5/40 - u**4/3 - 3*u. Let p(o) be the third derivative of h(o). Differentiate p(v) wrt v.
16*v**3
Let p(n) = -4 - 15*n - 16*n + 1 + 11*n. Let i(z) = -7*z - 1. Let k(x) = -11*i(x) + 4*p(x). What is the derivative of k(j) wrt j?
