d derivative of 87 - 87 - 8*r**2 + 6*r**3 wrt r?
36
Find the third derivative of -13 - 12*a**2 - 6*a**2 + 16 + 3*a**2 + 39*a**3 wrt a.
234
Find the second derivative of 12*y**5 - 20*y**5 - 14*y - 4*y wrt y.
-160*y**3
Let k(s) be the first derivative of 1/3*s**6 + 0*s + 0*s**2 + 0*s**5 + 0*s**4 - 4/3*s**3 + 4. Find the third derivative of k(a) wrt a.
120*a**2
Find the first derivative of 686 - 12*k - 721 - k - 2*k wrt k.
-15
Let x(n) = 7*n**4 - 2*n**3 - 2*n**2 + 4. Let z(t) = t**3 + t**2 - 1. Let f(o) = -x(o) - 2*z(o). Differentiate f(u) wrt u.
-28*u**3
Let j(r) be the second derivative of r**6/10 - 7*r**4/12 - 5*r. What is the third derivative of j(q) wrt q?
72*q
Let n = -11 + 11. Differentiate 14 - v**2 + n*v - 5 + 0*v with respect to v.
-2*v
Let r(n) = -9*n**2 - 11*n - 28. Let s(l) = 3*l**2 + 4*l + 9. Let o(f) = -4*r(f) - 11*s(f). Find the first derivative of o(c) wrt c.
6*c
Let j(h) = -5*h**4 + 5*h + 3. Let p(o) = o + 1. Let m be (1 + 1)*2/(-4). Let n(a) = m*j(a) + 5*p(a). Differentiate n(d) with respect to d.
20*d**3
Let r(i) = 13*i**2 - 9. Let l(g) = 12*g**2 - 8. Let n(t) = 6*l(t) - 5*r(t). What is the derivative of n(d) wrt d?
14*d
Let u(k) be the second derivative of 0*k**2 - 1/3*k**3 + 0 + 2*k + 1/6*k**4. What is the second derivative of u(o) wrt o?
4
Let h(x) = -x - 1. Let b(w) = -4*w - 4. Let z(a) = 4*a + 2. Let d be z(-2). Let g(n) = d*b(n) + 21*h(n). What is the first derivative of g(s) wrt s?
3
Let p(r) be the second derivative of -r**8/840 + r**5/120 - r**3/3 + r. Let o(s) be the second derivative of p(s). What is the second derivative of o(x) wrt x?
-24*x**2
Let u(d) be the third derivative of d**6/40 + d**5/20 + 13*d**4/6 + 9*d**2. What is the second derivative of u(c) wrt c?
18*c + 6
Let q(a) be the first derivative of -7*a**5/5 - a + 9. What is the derivative of q(z) wrt z?
-28*z**3
Suppose 3*a = -3*f + 3, -21 = -5*f + a - 4. Find the third derivative of -7*q**2 + 7*q**f - 8*q**3 + q**3 - 5*q**4 wrt q.
-120*q
Find the first derivative of -16*w - 12*w - 9 - 37 wrt w.
-28
Let b(s) be the first derivative of -s**5/5 + s**2 + 17. What is the second derivative of b(y) wrt y?
-12*y**2
Let s(p) = -5*p + 5*p**4 + 3*p**2 - 8*p**2 + 4 + p + 14*p**2. Let a(y) = y - 1. Let h(w) = -4*a(w) - s(w). What is the third derivative of h(r) wrt r?
-120*r
What is the derivative of 17 - 19 + 16 + 11*t**2 wrt t?
22*t
Suppose q + 0 - 5 = 0. Find the second derivative of -2*g**q - 3*g + 0 + 0 wrt g.
-40*g**3
Let b(p) be the third derivative of 0*p**4 + 0*p**6 + 0*p**3 + 0 + 4*p**2 + 1/20*p**5 + 1/168*p**8 + 0*p + 0*p**7. Find the third derivative of b(r) wrt r.
120*r**2
Let u be (-92)/(-230) + ((-8)/(-10))/(-2). Let g(o) be the first derivative of 3/4*o**4 - 4 + u*o + 0*o**2 + o**3. What is the third derivative of g(k) wrt k?
18
Suppose 0 = -t - 0 + 1. Let d be (-5 + 4)*t*-5. What is the third derivative of 2*f - f**2 + 2*f**d - 2*f wrt f?
120*f**2
Let t = 8 - 4. Differentiate -y**2 + 1 + t*y**3 + y**2 wrt y.
12*y**2
Let p(m) = m - 1. Let t be p(-8). Let y = 11 + t. Find the second derivative of f**3 - f**3 - y*f**3 + 4*f + 3*f**3 wrt f.
6*f
Suppose -4*a - 6 + 14 = 0. Suppose -3*k + 8*k = 3*l + 19, -3*k = a*l. Differentiate -k + 4 + 2*s - 4 with respect to s.
2
Let p(v) be the third derivative of 3*v**2 + 0*v + 0*v**3 + 0*v**5 - 1/24*v**4 + 1/105*v**7 + 0 + 0*v**6. What is the second derivative of p(t) wrt t?
24*t**2
Let f = -8 + 12. What is the derivative of -4*s**2 + 5 + 4*s**2 - s**f + 2 wrt s?
-4*s**3
Let p = 4 + -4. Suppose -5*x - 1 + 21 = p. Find the first derivative of -m**4 + 2 + m**4 - 2*m**x wrt m.
-8*m**3
Let c(m) be the third derivative of 0*m**5 + 1/30*m**6 + 0 + 0*m - 4*m**2 + 2/3*m**3 + 0*m**4. What is the first derivative of c(a) wrt a?
12*a**2
Suppose 2*m = 2*c - m + 11, 4*m = -3*c + 9. Let n be 8 + c + (-1 - 1). Find the third derivative of j**2 - 5*j**n + 2*j**2 + 3*j**5 wrt j.
-120*j**2
Let g(f) = f**2 + f - 1. Let r(m) = -2 + 0*m**3 + 3*m**3 + 6 - 4*m**2 + 2*m**3 - 9*m. Let u(b) = -4*g(b) - r(b). What is the second derivative of u(o) wrt o?
-30*o
Suppose 19 = 4*f + 4*c + 3, 5*c = -f + 12. What is the third derivative of 2*q**6 + 5 - 5 + 2*q**f - q**6 wrt q?
120*q**3
Let w(h) be the third derivative of 19*h**5/30 + h**4/12 - 22*h**3/3 - 27*h**2. What is the second derivative of w(v) wrt v?
76
Let r(i) be the first derivative of -4*i**5 + 4*i**2 + 23. Find the second derivative of r(j) wrt j.
-240*j**2
What is the third derivative of -4*f**4 - 4*f**3 + 4*f**4 - 3*f**4 + 32*f**2 wrt f?
-72*f - 24
Suppose 2*p + 4 = 2*l, 3*p = -0*p. Let k = 0 - 0. Find the third derivative of 0*h**5 + k*h**5 + 2*h**5 + 0*h**5 - 2*h**l wrt h.
120*h**2
Let d be ((-1)/(-4))/((-4)/(-32)). What is the second derivative of 3*i - 3*i + 0*i + 6*i - 3*i**d wrt i?
-6
Find the third derivative of 14*q**2 - 18*q**6 + 6*q**6 - 7*q**2 wrt q.
-1440*q**3
What is the third derivative of 19*n**2 + 43*n**6 - 107*n**5 + 107*n**5 - 50*n**2 wrt n?
5160*n**3
Suppose 3 = 5*n - 7. Suppose -3*j - j + 8 = 0. Differentiate 0 - n*b**2 + b**j - 1 with respect to b.
-2*b
Let y(b) be the third derivative of -13*b**8/336 - b**5/6 - 17*b**2. Find the third derivative of y(c) wrt c.
-780*c**2
Find the second derivative of 137*u**3 - 5*u + 4*u - 158*u**3 wrt u.
-126*u
Let p(d) be the first derivative of 4/3*d**3 + 0*d - 2 + 0*d**6 + 4/7*d**7 + 0*d**5 + 0*d**2 + 0*d**4. Find the third derivative of p(h) wrt h.
480*h**3
What is the derivative of 24*z**3 + 2 - z**3 - 2 + 2 wrt z?
69*z**2
Let c(s) = -39*s**3 - 8*s**2 - 7*s. Let w(a) = 13*a**3 + 3*a**2 + 2*a. Let d(m) = -3*c(m) - 8*w(m). What is the second derivative of d(z) wrt z?
78*z
Let x(f) = -24*f**4 - 12*f**2 - 3*f + 3. Let v(u) = 48*u**4 + 25*u**2 + 5*u - 5. Let z(c) = 3*v(c) + 5*x(c). Find the third derivative of z(p) wrt p.
576*p
Let n(p) be the third derivative of p**8/336 + p**5/20 - 6*p**2. Find the third derivative of n(w) wrt w.
60*w**2
Let k(d) = -9*d**2 - 6*d + 6. Let i(x) = -x**2 - x - 1. Let j(b) = 6*i(b) - k(b). What is the derivative of j(n) wrt n?
6*n
Let k(h) be the second derivative of 0 - 8*h - 1/6*h**3 + 9/2*h**2. Find the first derivative of k(b) wrt b.
-1
Let m(i) = 3*i**4 - 9*i**3 + 9*i - 89. Let n(v) = -v**4 + 2*v**3 - 2*v + 22. Let d(u) = -2*m(u) - 9*n(u). Differentiate d(b) wrt b.
12*b**3
Let t(g) = 6*g**3 + 8*g**2 - 3*g - 3. Let y(f) = -f**3 + f**2 - f - 1. Let h(z) = t(z) - 3*y(z). What is the third derivative of h(b) wrt b?
54
Let y(g) be the second derivative of 5*g**7/42 - 2*g**3/3 + g. Find the second derivative of y(a) wrt a.
100*a**3
Let n be 10/45 + 65/(-9). Let p be (2/4)/(n/(-42)). What is the derivative of -6 + 0*d + p + d wrt d?
1
Suppose p - 2 = -0*p. What is the third derivative of 0*a**3 + p*a**2 - 2*a**3 + a**3 + 2*a**3 wrt a?
6
Let t(z) be the third derivative of -z**9/30240 + z**6/360 + z**5/60 + 3*z**2. Let i(x) be the third derivative of t(x). What is the derivative of i(m) wrt m?
-6*m**2
Let y(c) = -15*c**4 + 5*c - 2. Let l(q) = 61*q**4 - 20*q + 9. Let i(f) = 2*l(f) + 9*y(f). What is the second derivative of i(w) wrt w?
-156*w**2
Let l(c) = 11*c - 14. Let y(b) = 32*b - 41. Let f(w) = -11*l(w) + 4*y(w). Differentiate f(m) wrt m.
7
Suppose 4*u - 4 = 0, u = -3*x - 6 + 13. Differentiate 2 - x - 2 + 4*h**3 with respect to h.
12*h**2
Let x(j) = -2*j - 25. Let f(h) = 2*h + 26. Let l(b) = -3*f(b) - 2*x(b). Find the first derivative of l(d) wrt d.
-2
What is the first derivative of -2*a**3 + 112 - 77 + 34*a**3 wrt a?
96*a**2
Let k(u) be the second derivative of u**7/3 - u**4/12 + u + 7. Find the third derivative of k(v) wrt v.
840*v**2
Let c = 1 + 3. Differentiate -l**4 + l**4 + c*l**4 + 2 - 3 with respect to l.
16*l**3
Let t(n) = -10*n**3 + 6*n**2 + 7*n + 8. Let f(d) = d**3 - d**2 - d. Let l(o) = 4*f(o) + t(o). What is the second derivative of l(r) wrt r?
-36*r + 4
Suppose -x + 3*x = 4. Let f(g) be the first derivative of g**x + 1/3*g**3 + 0*g + 1. What is the second derivative of f(o) wrt o?
2
Let x(l) be the second derivative of l**7/420 + l**6/360 + 5*l**3/6 - 5*l. Let a(u) be the second derivative of x(u). Find the third derivative of a(m) wrt m.
12
Let t(r) be the second derivative of -r**9/1008 + r**5/40 + r**3/2 - r. Let v(l) be the second derivative of t(l). What is the second derivat