tive of 0*u + 0 + 1/6*u**4 + 3*u**2 + 0*u**3 + 0*u**6 + 0*u**5 - 1/336*u**8 + 0*u**7. Find the second derivative of q(d) wrt d.
-20*d**3
Let w(p) = p**2 - 3*p - 5. Let j be w(4). Let t = 1 - j. What is the second derivative of 2*h + t*h**2 + 0*h**2 - h**2 wrt h?
2
Let a = 8 - 6. Let w(s) be the first derivative of a*s + 1 - 1/2*s**2. Find the first derivative of w(d) wrt d.
-1
Suppose -y = -4*y + 15. Let c(j) = -j**2 + 4*j. Let s(m) = 5*m - 1. Let n(u) = y*c(u) - 4*s(u). What is the derivative of n(g) wrt g?
-10*g
Differentiate 9*v**2 - 11*v**2 - 2*v**2 + 9 with respect to v.
-8*v
Let a(p) be the third derivative of 1/60*p**6 + 0 + 0*p**4 + 1/20*p**5 + 0*p**3 + 6*p**2 + 0*p. What is the third derivative of a(j) wrt j?
12
Let c(h) be the second derivative of 4*h - 1/6*h**3 + 0*h**4 + 0 + 0*h**2 + 1/15*h**6 + 0*h**5. Find the second derivative of c(m) wrt m.
24*m**2
Suppose 0 = 5*f - 13 - 2. Suppose 5*z - 5 = 0, 7 = i + f*z + 1. What is the second derivative of b - 6*b**3 + b**3 + 2*b**i wrt b?
-18*b
Find the second derivative of 10*n - 4*n - 7*n - 34*n**3 - 31*n wrt n.
-204*n
Let b(c) = 4*c**3 - 7*c**2 - 5*c. Let t(j) = j - j**2 + 0*j**2 - 4*j**3 + 7*j**2 + 3*j. Let o(z) = 4*b(z) + 5*t(z). What is the third derivative of o(y) wrt y?
-24
Let i be (-4)/18 + 20/9. Suppose 20 = -4*t, -2*t - 2 = 2*u + 2*u. What is the first derivative of -u*g - g + i + g wrt g?
-2
What is the derivative of -206*c + 206*c + 40*c**2 - 43 wrt c?
80*c
Differentiate 55*p**3 + 190 - 106 - 130 with respect to p.
165*p**2
Suppose k = -3*b + 6, -4*k = 7*b - 3*b - 8. Suppose -24 = -5*l + b*y, -2*l + 0*y = 3*y - 2. What is the derivative of 2*o**l + 0 + 0 - 2 wrt o?
8*o**3
Find the third derivative of 89*q - 2*q**2 + 14 - 14*q**3 - 89*q wrt q.
-84
Find the third derivative of 3*f**3 + 6*f**3 + 3*f**3 - 6*f**2 - 4*f**3 wrt f.
48
Let q(i) = -i**2 + i + 1. Let y(b) = 3*b**3 - b**2 + 2*b + 2. Let l(x) = -6*q(x) + 3*y(x). What is the third derivative of l(f) wrt f?
54
Let a(m) be the first derivative of -5*m**4/4 + m**2/2 - 7. Find the second derivative of a(f) wrt f.
-30*f
Find the third derivative of -11*f**2 - 2*f - 5*f + 7*f - 13*f**5 wrt f.
-780*f**2
Let k(i) be the third derivative of -i**9/252 - 3*i**5/20 + 5*i**2. Find the third derivative of k(g) wrt g.
-240*g**3
Let w(h) = -h**2 + 5*h. Let c be w(4). What is the derivative of -4 + 3 + 2*p**c + 2*p**4 wrt p?
16*p**3
Let h(w) = 3*w**4 - 5*w**3 + 5*w**2 - 6. Let n(a) = -2*a**4 + 4*a**3 - 4*a**2 + 5. Let o(j) = 4*h(j) + 5*n(j). Differentiate o(q) with respect to q.
8*q**3
What is the third derivative of -h**2 - 6*h + 3*h**6 - 4*h**6 + 5*h wrt h?
-120*h**3
Let o be ((-2)/(-3))/((-2)/(-9)). Find the third derivative of -2*u**2 - u**o + u**3 - 7*u**6 + 6*u**6 wrt u.
-120*u**3
Suppose 5*c + b - 18 = 3, -5*c - 2*b + 17 = 0. Let o be 3/9 - (-5)/3. Find the second derivative of i + c*i - i**o - 3*i wrt i.
-2
Differentiate 0*n**2 + 3*n**2 - 2*n**2 + 2 - 2*n**4 - 3*n**2 wrt n.
-8*n**3 - 4*n
Suppose 4*x + 5*l - 15 = 0, -4*x = -6*x - 4*l + 6. Find the second derivative of 13*c**2 - x*c**2 + 5*c - 3*c**5 - 8*c**2 wrt c.
-60*c**3
Let j(q) be the first derivative of q**7/21 - q**3/6 - 2*q + 3. Let u(a) be the first derivative of j(a). What is the second derivative of u(h) wrt h?
40*h**3
Let n(l) = -l**3 + 6*l**2 + 7*l. Let v be n(7). What is the second derivative of 3*p**4 - p**4 + 0*p - 7*p + v*p**4 wrt p?
24*p**2
Suppose 0*r + 6 = 2*r. Differentiate j**2 - r + 3*j**2 - 3*j**2 with respect to j.
2*j
Let b(c) = c**4 + 2*c**3 - 14*c**2 - 2*c + 27. Let y(x) = -x**3 + x - 1. Let m(o) = 2*b(o) + 4*y(o). What is the first derivative of m(h) wrt h?
8*h**3 - 56*h
Let m be ((-1)/3)/(3/(-27)). What is the second derivative of 0*h + 3*h + 4*h**4 - 10*h + m*h wrt h?
48*h**2
Let m be (-4)/6 - (-35)/3. Differentiate -37 + m + 16 + 7*a with respect to a.
7
Let v(q) = -q**5 - 1. Let p(x) = -17*x**5 - 3*x**2 - 11. Let l(m) = -2*p(m) + 22*v(m). Find the third derivative of l(h) wrt h.
720*h**2
Let x = -51 - -155/3. Let k(r) be the first derivative of 0*r + 2 - x*r**3 - 1/2*r**2. Find the second derivative of k(c) wrt c.
-4
Let z(n) be the first derivative of 11*n**6/2 - 7*n**3 - 35. What is the third derivative of z(y) wrt y?
1980*y**2
Let g(q) = -3*q**2. Let v(s) = 7*s**2 + 1. Suppose 5*o - 10 = -45. Let j(f) = o*g(f) - 4*v(f). Differentiate j(i) with respect to i.
-14*i
Let s(n) = 2*n - 9. Let o be s(7). Suppose 0 = 4*f - 5*d - 31, 2*d - o*d = 3*f - 3. Find the second derivative of -v**4 - 3*v - v**f + 5*v**4 - v wrt v.
36*v**2
Find the first derivative of 31 - 14 - 5*v**3 - 12 wrt v.
-15*v**2
Let r(f) = 3*f**2 - f. Let g be r(-1). Find the first derivative of 2*n**g + 2 + 2 + 1 - 1 wrt n.
8*n**3
Let c be (-8)/(-2) + (2 - 2). Suppose 0*y + 4*y - 8 = -5*p, -c*p - 8 = -4*y. Find the third derivative of 6*a**y - 9*a**2 + a**2 - 3*a**3 wrt a.
-18
Find the first derivative of -16*u - 17 + 4*u - 13*u + 6 wrt u.
-25
Let l(r) = 23*r**3 - 2*r**2 + 5*r. Let v(c) = -24*c**3 + 3*c**2 - 6*c. Let t(a) = 3*l(a) + 2*v(a). Find the second derivative of t(z) wrt z.
126*z
Suppose 7*o - 3 = 11. Let x(h) be the first derivative of 2/3*h**3 - o - 1/5*h**5 + 0*h**4 + 0*h + 0*h**2. Find the third derivative of x(u) wrt u.
-24*u
Let z(g) be the third derivative of -g**5/60 + 4*g**3/3 + 4*g**2. What is the derivative of z(l) wrt l?
-2*l
Let s(v) = v**5 - 6*v**4 + v. Let o(z) = -z**4 - z. Let p(b) = -6*o(b) + s(b). Find the second derivative of p(a) wrt a.
20*a**3
Let n(j) = 46*j**2 + 7*j + 16. Let t(c) = 47*c**2 + 6*c + 15. Let q(o) = -4*n(o) + 5*t(o). What is the second derivative of q(y) wrt y?
102
Let f be (12/4 - 3)/1. What is the first derivative of f*k**2 - 5 - 1 + 2*k**2 wrt k?
4*k
Let m(b) be the first derivative of 0*b**5 + 1/6*b**6 - b**3 + 0*b + 0*b**4 - 3 + 0*b**2. What is the third derivative of m(a) wrt a?
60*a**2
What is the first derivative of 1 + 0*z**4 + 2 + 1 + 4*z**4 wrt z?
16*z**3
Let a(q) be the third derivative of q**8/336 - q**4/6 + q**3/2 - 3*q**2. Let l(u) be the first derivative of a(u). Differentiate l(t) wrt t.
20*t**3
Let k(w) be the first derivative of -w**4/4 - 18*w - 7. Differentiate k(o) wrt o.
-3*o**2
Let k(f) be the first derivative of -2*f**7/7 - 3*f**3 + 3. What is the third derivative of k(x) wrt x?
-240*x**3
Suppose 0*r + 3*r + 2*v = -2, -3*r + 5*v = -26. What is the second derivative of -3*s - r*s**2 + 12*s**2 - 8*s**2 wrt s?
4
Differentiate -1 - 3 + 10 + 5*j**3 + 2*j**3 wrt j.
21*j**2
Suppose -12 = -12*o + 48. Let d(l) be the third derivative of 0 - l**2 + 0*l**4 + 0*l**o - 1/120*l**6 + 1/2*l**3 + 0*l. What is the derivative of d(w) wrt w?
-3*w**2
Suppose -32 = -3*q - q. What is the second derivative of q*l - 3 + 3 - 3*l - 3*l**3 wrt l?
-18*l
Let f(d) = d**4 - d**3 + d - 1. Let h(u) = -2*u**4 - 2*u**3 - 2. Let y(w) = 2*f(w) - h(w). Find the second derivative of y(c) wrt c.
48*c**2
Let a(d) be the first derivative of -4 + 0 + 4*d + d**4 + 0*d**4. What is the first derivative of a(q) wrt q?
12*q**2
Let g(d) be the second derivative of 0*d**3 + 0*d**6 - 3*d + 0 + 1/21*d**7 + 0*d**5 + 1/6*d**4 + 0*d**2. What is the third derivative of g(y) wrt y?
120*y**2
Suppose -3*n - 5*n = 0. Let r(m) be the first derivative of -1/6*m**6 + 2 + 0*m**3 + 0*m**5 + 0*m**4 + n*m + m**2. What is the second derivative of r(u) wrt u?
-20*u**3
Let q(c) = -c + 2. Let w(i) be the third derivative of i**4/6 - i**3 + i**2. Let b(o) = 8*q(o) + 3*w(o). Differentiate b(s) with respect to s.
4
Suppose 10 = 2*v + 4. What is the derivative of 3 - p**3 - 2*p**3 + 0*p**3 + 2*p**v wrt p?
-3*p**2
Let r(k) be the first derivative of k**4/2 - 5*k**3/3 + 33*k**2/2 - 27. Find the second derivative of r(t) wrt t.
12*t - 10
Let v(c) = -21*c**4 + 3*c**3 + 3*c**2 - 32. Let q(f) = f**4 - f**3 - f**2 + 1. Let w(p) = -3*q(p) - v(p). Differentiate w(b) with respect to b.
72*b**3
Find the first derivative of 13*r**2 - 18*r**2 + 15*r**2 - 11 wrt r.
20*r
Suppose 0 = -3*s - 2*s + 30. Differentiate -2 + s + 7*r + 4 - 1 with respect to r.
7
Suppose 4*z + 14 = 22. Let u(k) be the second derivative of 0 + 1/2*k**z + 3*k + 1/2*k**3. What is the first derivative of u(s) wrt s?
3
Let u(w) = 7*w**4 + 2*w - 20. Let y(m) = -27*m**4 - 9*m + 79. Let g(r) = -9*u(r) - 2*y(r). Differentiate g(z) wrt z.
-