14*s + 12. Let y(r) = -r + 1. Suppose 2*f - 3*i + 23 = -4*i, -36 = 3*f + 2*i. Let d(z) = f*y(z) + q(z). Differentiate d(p) wrt p.
-4
Let w(f) = -f**4 + 3*f**3 + 3*f**2 - 3. Let m(t) = 2*t**4 - 4*t**3 - 4*t**2 - t + 4. Let c(q) = -3*m(q) - 4*w(q). What is the second derivative of c(o) wrt o?
-24*o**2
Let t = -20 - -33. Suppose 4*i - t = 3. Find the first derivative of -3*p**2 + i - 2 - 2 - 3 wrt p.
-6*p
Let f(r) = 32*r**2 - 11*r + 32. Let b(n) = 8*n**2 - 3*n + 8. Let l(t) = 22*b(t) - 6*f(t). Find the first derivative of l(k) wrt k.
-32*k
Let q(f) be the third derivative of -f**5/24 - f**4/6 + f**3/6 - f**2. Let n(a) be the first derivative of q(a). What is the first derivative of n(p) wrt p?
-5
Let a be (1 - -2)/(9 - 6). Let q be (-16)/(a - 3) + -3. Differentiate 4*m**2 - 5*m**2 - 4 + q - m**2 wrt m.
-4*m
Differentiate 10*p**2 - 1 - 11*p**2 + 12*p**2 + 6 with respect to p.
22*p
Let x(b) be the third derivative of -b**5/60 - 7*b**4/24 + 5*b**2. Find the second derivative of x(l) wrt l.
-2
Let s(f) be the third derivative of -f**4/3 + 2*f**3/3 - 3*f**2. Find the first derivative of s(y) wrt y.
-8
Let z(t) be the third derivative of t**6/30 + t**5/30 - 6*t**2. Find the third derivative of z(b) wrt b.
24
Suppose -2*o + f = 2*o + 20, -4 = 2*o + f. Let k = -2 - o. Find the third derivative of 0*a**2 + 2*a**5 + 0*a**2 - k*a**2 - 5*a**5 wrt a.
-180*a**2
Let o(u) = -3*u + 3. Let k(m) = 1. Suppose b + 3 = -j - 1, -7 = -2*j + b. Let x(i) = j*k(i) - o(i). Find the first derivative of x(y) wrt y.
3
Suppose 3*v + 6 = 5*u, 3*u - 8 = -0*u + 4*v. Let r(m) be the second derivative of u - 3*m + 1/3*m**3 - 1/2*m**2. What is the first derivative of r(y) wrt y?
2
Let m be (-4)/(-1)*2/8. Let a = 1 + m. Find the third derivative of -6*p**5 + 3*p**5 - 2*p**2 - p**a wrt p.
-180*p**2
What is the third derivative of -47*j**2 - 2*j**3 - 6*j**3 - 38*j**6 + 8*j**3 wrt j?
-4560*j**3
Let q(p) be the first derivative of 3*p**4/4 + 8*p**3/3 + 4. Find the third derivative of q(o) wrt o.
18
Suppose -5*r - c = -6 - 14, 4*r - 22 = -2*c. Suppose -1 - r = -f. Find the second derivative of -2*l**f - 3 - 2*l + 3 wrt l.
-24*l**2
Suppose 0 = 4*p + 5*h - 10, p = -0*p + 4*h + 13. What is the second derivative of -z - 2*z**p - 2*z**5 - 7*z**4 + 7*z**4 wrt z?
-80*z**3
Suppose 4*b - o = -2*o + 7, -b = 2*o. Suppose 7*q - 3*q - 8 = 0. What is the first derivative of -b + 0 + h**4 - q*h**4 wrt h?
-4*h**3
Let y(q) = q**3 + 3*q**2 - 5*q - 2. Let a be y(-4). What is the derivative of a - 3 + 9 - 5*h - h wrt h?
-6
Let h(m) be the third derivative of 13*m**6/120 - 7*m**5/60 + 10*m**2. Find the third derivative of h(q) wrt q.
78
Let y(o) = -35*o**3 - 28*o - 6. Let k(j) = 71*j**3 + 55*j + 13. Let a(q) = 6*k(q) + 13*y(q). What is the second derivative of a(p) wrt p?
-174*p
What is the third derivative of 0*y**2 - 4*y**2 + y**6 + 5*y**6 wrt y?
720*y**3
Let w be ((-7)/(-2) - 3)*4. What is the third derivative of 2 + 0 - 2 + w*n**2 - 4*n**3 wrt n?
-24
Let a(y) = y**2 + 4*y. Let h = 8 + -13. Let x(b) = 2*b**2 + 6*b. Let i(z) = h*x(z) + 7*a(z). Find the second derivative of i(o) wrt o.
-6
Let p(h) be the first derivative of -h**4 + 15*h**2/2 - 23. What is the second derivative of p(w) wrt w?
-24*w
What is the second derivative of -4*h + 3*h**3 + 9*h**2 + 5*h**2 - 14*h**2 wrt h?
18*h
Let n(v) = -3*v**2 - 4*v - 1. Let q(c) = -3*c**2 - 5*c - 2. Let m(z) = 5*n(z) - 4*q(z). Differentiate m(f) wrt f.
-6*f
Let j(g) be the second derivative of g**7/14 - g**4/4 + 23*g**3/3 - 52*g. Find the second derivative of j(a) wrt a.
60*a**3 - 6
Suppose 10 = 2*f + 2. What is the second derivative of -j - j - j - f*j**2 + 5*j wrt j?
-8
Let v(x) be the first derivative of 23*x**7/7 + 28*x**3/3 + 7. What is the third derivative of v(g) wrt g?
2760*g**3
Let d(t) be the third derivative of 7*t**4/24 + t**3 - 8*t**2. Differentiate d(m) wrt m.
7
Let g(s) be the first derivative of 0*s**5 + 5/6*s**6 + 0*s**2 - 1/3*s**3 + 5 + 0*s**4 + 0*s. What is the third derivative of g(l) wrt l?
300*l**2
Let k(s) be the second derivative of -9*s**7/14 - 2*s**3/3 - 5*s**2 - 7*s + 6. What is the second derivative of k(y) wrt y?
-540*y**3
Let r(f) be the first derivative of f**5/10 + 5*f**2/2 + 6*f + 3. Let p(b) be the first derivative of r(b). Find the first derivative of p(k) wrt k.
6*k**2
Let r(h) be the first derivative of 2*h**5/5 + 7*h**3 - 70*h + 54. Find the first derivative of r(j) wrt j.
8*j**3 + 42*j
Let o be 2/4*(1 - 1). Find the second derivative of 0*p - p + o*p**2 - 4*p**2 wrt p.
-8
Let l(x) be the third derivative of x**8/1680 - x**7/504 + x**4/12 + 7*x**2. Let q(h) be the second derivative of l(h). Find the third derivative of q(u) wrt u.
24
Let v(a) = 16*a**5 + 14*a**2 + 54*a. Let o(g) = 3*g**5 + 3*g**2 + 11*g. Let y(z) = 14*o(z) - 3*v(z). What is the second derivative of y(c) wrt c?
-120*c**3
Find the first derivative of 3*k**2 + 3*k**3 - 1 - 3*k**2 + 0*k**2 wrt k.
9*k**2
Let y = -8 + 14. Find the second derivative of y*t**5 + 2 - t - 4 + 2 wrt t.
120*t**3
Let h(u) be the second derivative of 0*u**4 - 1/10*u**5 - 1/3*u**3 - 3*u + 0 + 0*u**2. What is the second derivative of h(b) wrt b?
-12*b
Let a(v) = 11*v**2 + v + 20. Let s(i) = 32*i**2 + 2*i + 59. Let t(c) = 11*a(c) - 4*s(c). Find the first derivative of t(p) wrt p.
-14*p + 3
Let u(k) be the second derivative of -1/6*k**4 + 2*k + 1/2*k**3 + 0*k**2 + 0. Find the second derivative of u(d) wrt d.
-4
Let k(l) = 3*l**2 - 1. Let i be k(1). Find the second derivative of -2 + 2*p + 2 + 2*p**i + 0 wrt p.
4
Suppose 4 = -3*s + 5*s. Suppose 0 = m - 5, -5*h - 2 = -4*h - m. Find the first derivative of -s + 0*a**3 - a**3 + h wrt a.
-3*a**2
Let w(h) be the first derivative of 0*h**3 + 0*h + 1/2*h**2 - 3 + 0*h**4 - 2/5*h**5. Find the second derivative of w(y) wrt y.
-24*y**2
Find the second derivative of -22*i - 6*i**2 + 9*i**2 + i**2 wrt i.
8
Let n(v) = v**3 + v**2 + v + 2. Let x be n(0). Suppose -x*q = -5*j, 2*j - 28 = -2*j - 4*q. What is the second derivative of -11*y - 2*y**j + 5*y**2 + 8*y wrt y?
6
Let n(d) = -d**2 + 17*d + 5. Let q be n(10). Find the second derivative of q*u - 4*u**5 - 74*u + 6*u**5 wrt u.
40*u**3
Let k(c) be the third derivative of -4*c**7/105 - 5*c**3/6 + 22*c**2. Find the first derivative of k(d) wrt d.
-32*d**3
Suppose 3*p = -3*l - 2*l + 14, -4 = 2*p. What is the third derivative of 2*k**l + 3*k**2 - k**6 - 2*k**4 wrt k?
-120*k**3
Let p(m) = m**2 + 7*m - 7. Let u be p(-9). Differentiate -13*i**2 - u + 5*i**2 + 12 with respect to i.
-16*i
Let i(k) be the second derivative of 1/20*k**5 + 1/12*k**4 + 0*k**2 - 3*k + 0*k**3 + 0. What is the third derivative of i(h) wrt h?
6
Let n(p) = 17*p**4 + 9*p**2 + 5*p. Let q(m) = -50*m**4 - 26*m**2 - 16*m. Let s(f) = -16*n(f) - 5*q(f). What is the third derivative of s(d) wrt d?
-528*d
Suppose -5*n + 4 = -1. What is the derivative of 10*r**2 - 3*r**4 - 10*r**2 + n wrt r?
-12*r**3
Let j(p) = -p**3 - p**2 + 5*p + 2. Let x be j(-3). Suppose -o = -4*y + 8, 0 = -4*y - x*o + 9 - 1. What is the second derivative of k**3 + y*k - 3*k - 2*k wrt k?
6*k
Let i(b) be the second derivative of 0*b**2 - 1/6*b**3 + 3*b + 0. Let h(z) = -4*z - 1. Let u(n) = -h(n) + 2*i(n). Differentiate u(c) wrt c.
2
Suppose 5*y - 52 = y. Find the first derivative of 20 + 5*v**4 + y - 25 wrt v.
20*v**3
Find the second derivative of 2*o**3 - 2*o + 2*o**3 + 22 - 22 wrt o.
24*o
Suppose 0 = -f + 3. Find the second derivative of -l**f + 0*l**3 + 0*l + 0*l**3 + 8*l wrt l.
-6*l
Let k(g) be the first derivative of -g**6/3 - 7*g**3/3 - 8. Find the third derivative of k(z) wrt z.
-120*z**2
Let l(w) be the second derivative of -7*w**6/30 + w**5/10 - 3*w**4 + 7*w. Find the third derivative of l(h) wrt h.
-168*h + 12
What is the third derivative of 74*u**6 + 36*u**2 - 130*u**6 + 63*u**6 wrt u?
840*u**3
Let m(v) be the first derivative of v**9/504 - v**6/72 - 4*v**3/3 - 4. Let o(g) be the third derivative of m(g). Find the third derivative of o(y) wrt y.
360*y**2
Suppose -3*g - 2 = -14. Differentiate n**3 + 3 - n**3 - 2*n**g with respect to n.
-8*n**3
Let q be 2/(-5) - (-66)/15. Let p = -2 + q. What is the first derivative of d**2 + 0*d**2 + 2*d**2 + 3 - p wrt d?
6*d
Let i(y) = -90*y**2 - 105*y - 27. Let q(o) = 7*o**2 + 8*o + 2. Let r(f) = 2*i(f) + 27*q(f). What is the second deriva