Let x(g) = 10*g**2 + 3*g - 5. Let m(a) = 11*a**2 + 4*a - 6. Let t(y) = p*x(y) - 5*m(y). What is the second derivative of t(j) wrt j?
10
Let x(d) be the second derivative of 0*d**4 + 2/3*d**3 + 0*d**2 - 1/15*d**6 + 0*d**5 + d + 0. Find the second derivative of x(l) wrt l.
-24*l**2
Let w be -2 + (-6)/(-2) - -80. Differentiate 6 - w*v + 81*v + 3*v**2 wrt v.
6*v
Suppose w = 2*r + 4, -3*w + r - 3 = -5*w. Find the first derivative of w*u + 0*u + 1 + u - 2 wrt u.
3
Let h(z) be the second derivative of 0 + 0*z**4 + 0*z**5 - z**2 + 0*z**3 + 1/15*z**6 + 2*z. What is the derivative of h(w) wrt w?
8*w**3
Let h(m) = 5*m**5 + m**4 - m**3 + 8*m**2 - m + 1. Let f(l) = -l**4 + l**3 + l**2 + l - 1. Let g(x) = f(x) + h(x). What is the third derivative of g(j) wrt j?
300*j**2
What is the derivative of 2 - 2*o**4 - 2 + 5*o**4 - 8 wrt o?
12*o**3
Suppose m - 5*m + 24 = 0. Suppose m - 26 = -4*v. Find the second derivative of -6*d + 3*d + 2*d**v + d wrt d.
40*d**3
Let k(p) be the third derivative of -p**7/1260 + p**5/30 + p**4/12 - p**2. Let x(j) be the second derivative of k(j). What is the derivative of x(n) wrt n?
-4*n
Find the second derivative of 2*s + 2*s**3 + 4*s - 5*s**3 wrt s.
-18*s
Let y(j) = -j**2 - 8*j + 13. Let u be y(-9). What is the second derivative of 2*w**2 - 9*w - u + 4 + w wrt w?
4
Let y(s) be the third derivative of s**7/21 + 13*s**4/24 - 17*s**2. Find the second derivative of y(x) wrt x.
120*x**2
Let n(b) be the third derivative of b**5/30 + 5*b**4/24 - 5*b**2. What is the second derivative of n(j) wrt j?
4
Let z(x) be the second derivative of -2*x**6/15 + x**4/2 + 10*x. Find the third derivative of z(m) wrt m.
-96*m
Let m(l) = -17*l**5 + 2*l**3 + 5*l. Let b(v) = -v**5 + v**3 - v. Let d(t) = 2*b(t) - m(t). Find the second derivative of d(h) wrt h.
300*h**3
Let c(s) be the first derivative of -49*s**4/4 + 43*s + 45. Find the first derivative of c(t) wrt t.
-147*t**2
Differentiate 1 - 1 - m**2 - 3 + 1 wrt m.
-2*m
Suppose 2 - 23 = 3*r. Let z = -5 - r. What is the second derivative of 0*k**3 - 2*k**2 + k**3 - 3*k + z*k**2 wrt k?
6*k
Let q be -2 + 0 + (7 - 3). Suppose 5*s - 2*r = 22, q*s - 3 = -r - 4*r. Differentiate z**s + 1 + 1 - 3*z**4 with respect to z.
-8*z**3
What is the third derivative of -23*d**4 - 48*d**5 - 53*d**2 + 23*d**4 - 23*d**2 wrt d?
-2880*d**2
What is the third derivative of -o**2 - 12*o**6 + o**6 + 2*o**2 + o**6 wrt o?
-1200*o**3
Find the first derivative of 324*u**2 + 4*u**4 + 10 - 324*u**2 wrt u.
16*u**3
What is the first derivative of -1246*w**2 - 4*w - 12 + 4*w + 1263*w**2 wrt w?
34*w
Let f(s) be the first derivative of -3*s**8/56 - s**4/12 + 2*s - 3. Let c(b) be the first derivative of f(b). What is the third derivative of c(u) wrt u?
-360*u**3
Let n = 1 - -1. What is the second derivative of 7*j - 10*j - 2*j**2 - j**n wrt j?
-6
Suppose 3*q - 1 = -4*d, -3*d + 32 = -q - 3*q. Find the second derivative of 2*w**2 - 3*w - 2*w**2 + 5*w**d wrt w.
60*w**2
Suppose 0 = c - 3*c + 6. What is the second derivative of -i + 6*i**3 + c*i - 4*i**3 - i**3 wrt i?
6*i
Let w(s) be the third derivative of s**6/10 + s**4/6 - 5*s**2. What is the second derivative of w(m) wrt m?
72*m
Let a(w) be the first derivative of 70*w**3/3 + 58*w - 16. Find the first derivative of a(x) wrt x.
140*x
Let a = 1 - -4. Differentiate -2*t - 3 + a + 1 wrt t.
-2
Suppose p - 4*p + 3 = 0. Let v be 3 - -1*(2 - p). What is the second derivative of -d**2 + 0*d - v*d + 0*d**2 + d wrt d?
-2
Suppose -5*w = -13 - 2. What is the second derivative of -w*y**2 + 3*y**2 - 5*y**4 + 6*y - 3*y wrt y?
-60*y**2
Suppose 0*k - 4 = -4*k. Let a = k - 0. Find the first derivative of -2 - 2*u**3 + a + 0*u**3 + u**3 wrt u.
-3*u**2
Let z(v) = -12*v**3 + 8*v**2 + 8*v - 11. Let j(q) = 4*q**3 - 3*q**2 - 3*q + 4. Let m(f) = 8*j(f) + 3*z(f). Find the first derivative of m(p) wrt p.
-12*p**2
Let p(r) be the third derivative of 0*r + 0*r**5 + 0*r**7 + 0 - r**2 + 1/84*r**8 + 0*r**6 + 0*r**3 - 1/24*r**4. What is the second derivative of p(a) wrt a?
80*a**3
Let x(w) be the first derivative of 14*w**5/5 - 2*w**3 - 4*w + 59. What is the third derivative of x(a) wrt a?
336*a
Let x = -75 + 75. Let r(k) be the first derivative of x*k**2 + 1 + 3*k - 1/4*k**4 + 0*k**3. Find the first derivative of r(t) wrt t.
-3*t**2
Suppose -1 = -4*n + 19. Suppose q - n*q + 16 = 0. What is the second derivative of q*j - j + 0*j + 3*j**4 - 4*j**4 wrt j?
-12*j**2
What is the second derivative of 0*r**5 - 4*r**5 + 2*r**3 + 2*r - 2*r**3 wrt r?
-80*r**3
Find the third derivative of 52*h**6 + 24 + 25*h**2 + 9 + 22*h**2 - 46*h**2 wrt h.
6240*h**3
Let z(s) be the first derivative of 0*s**3 - 1/2*s**2 + 0*s - 4 + 0*s**5 + 0*s**4 - 5/6*s**6. Find the second derivative of z(a) wrt a.
-100*a**3
Suppose 6 = 2*t - 7*t + 4*f, 5*t = 5*f - 10. Find the first derivative of -u**3 - 2 - t*u**3 + 3 wrt u.
-9*u**2
What is the second derivative of -19*o + 0*o**2 + o**2 + 13*o - 4*o**2 wrt o?
-6
Let t(w) be the second derivative of 9*w - w**3 + 0*w**4 + 0*w**2 + 0 + 7/20*w**5. What is the second derivative of t(g) wrt g?
42*g
Let b(a) be the second derivative of -3*a**6/5 - 5*a**4/12 + 18*a. What is the third derivative of b(w) wrt w?
-432*w
Let u be (-1 - 1)/(-7 - -6). Differentiate -13*c**2 + 10*c**u + 5 - 2 with respect to c.
-6*c
What is the third derivative of 176*c**5 - 100*c**5 - 86*c**5 + 14*c**2 wrt c?
-600*c**2
Suppose 2 = 2*n - 4*s, -3*n + s = -n - 5. Find the third derivative of b**4 + 5*b**3 - 3*b**2 - 5*b**n + b**2 wrt b.
24*b
Let w(k) = 9*k - 7*k + 3*k - 6*k**2 + 0*k. Let g(a) = 78*a**2 - 66*a. Let n(z) = 2*g(z) + 27*w(z). What is the second derivative of n(m) wrt m?
-12
Let r(z) = 4*z**2 + 6. Let p = -5 - -4. Let v(m) = 0*m**2 - 4*m**2 + 5*m**2 + 1. Let f(n) = p*r(n) + 5*v(n). Find the first derivative of f(g) wrt g.
2*g
Suppose 0*u = -u. Let y(q) be the third derivative of 1/30*q**5 - 1/6*q**3 + u*q**4 - q**2 + 0 + 0*q. Differentiate y(c) wrt c.
4*c
Let w(l) = 21*l**3 + 3*l - 6. Let u(b) = -62*b**3 - 8*b + 17. Let h(q) = -6*u(q) - 17*w(q). Find the second derivative of h(j) wrt j.
90*j
Let h(f) = -f**3 + 9*f**2 - f + 11. Let r be h(9). Let c be (-20)/(-12)*(r - -1). What is the second derivative of y + 3*y - 2*y**c + 0*y**5 + 5*y**5 wrt y?
60*y**3
Let n(d) = -d - 1. Let c(b) = 2*b**3 - 6*b - 8. Let x(i) = 3*c(i) - 24*n(i). Find the second derivative of x(w) wrt w.
36*w
Let j(f) be the first derivative of 2*f**5/5 + 7*f**4/4 - f**3 + 16*f - 42. What is the third derivative of j(a) wrt a?
48*a + 42
Suppose 0 = 6*l - 2*l - 4. Suppose 0 = -n + 2*t - 6, -4*t - l = n - 13. What is the second derivative of -3*s + s**5 + n*s**5 + 0*s wrt s?
20*s**3
Let f(x) = 22*x**2 - 10*x + 6. Let g(h) = -22*h**2 + 12*h - 6. Let t(l) = 6*f(l) + 5*g(l). Differentiate t(d) wrt d.
44*d
Let z(x) = -1 + 6*x**2 - 10*x**2 + 1 - 7 - x**3 + 3*x. Let y be z(-5). Differentiate y*v - v + 2 + 0 - 3*v wrt v.
-1
Let f(m) = -338*m**2 + 143*m + 13. Let y(n) = -135*n**2 + 57*n + 5. Let d(s) = 5*f(s) - 13*y(s). Find the second derivative of d(i) wrt i.
130
Let r(p) be the second derivative of 4*p**6/15 + 4*p**3/3 - 7*p. Find the second derivative of r(z) wrt z.
96*z**2
Let w(s) be the second derivative of 5*s**3/3 - 5*s**2/2 - 4*s. Let o(a) = -21*a + 11. Let u(l) = 6*o(l) + 13*w(l). What is the derivative of u(g) wrt g?
4
Let l(w) = w - 4. Let s be l(5). Let o = -1 + s. Find the first derivative of -z**4 - 3 - 2*z**4 + o wrt z.
-12*z**3
What is the third derivative of 12*b**6 - 4*b**6 - 2*b**2 - b**6 wrt b?
840*b**3
Let p(b) be the second derivative of -1/6*b**3 + 0*b**2 + 3/20*b**5 + 0*b**4 + 0 - b. What is the second derivative of p(t) wrt t?
18*t
Let d be (2/3)/(6/9). Let h = d - -2. What is the third derivative of -i**2 + h*i**4 + 0*i**4 - 3*i**4 - 4*i**6 wrt i?
-480*i**3
Suppose -7 = 3*n - 25. Let j be 105/(-14)*4/n. Let t(a) = -2*a + 7. Let r(o) = 3*o - 11. Let i(x) = j*r(x) - 8*t(x). Find the first derivative of i(f) wrt f.
1
Let d(i) = -i + 1. Let q(b) = -3*b**2 - 11*b + 4. Let r(a) = 4*d(a) - q(a). What is the second derivative of r(s) wrt s?
6
Suppose -3*h = -f + 6*f + 16, 0 = -4*h - f + 7. Differentiate -b**3 - 6*b**h - 7 - 1 - 1 wrt b.
-21*b**2
Let z(a) be the first derivative of 0*a**5 - 3 + 0*a**4 + 0*a - 1/6*a**6 + 0*a**3 - a**2. Find the second derivative