**6/40 - 10*z**3/3 + 16*z**2. Find the first derivative of h(c) wrt c.
81*c**2
Let q(d) be the third derivative of -3*d**8/112 - d**4/8 - 3*d**2. What is the second derivative of q(f) wrt f?
-180*f**3
Let r(w) = 2*w**2 + w. Let b(t) = t**2 + t. Let d(l) = 2*b(l) + 2*r(l). Find the second derivative of d(m) wrt m.
12
Let p(r) be the third derivative of r**9/12096 + r**7/1680 - r**5/12 - r**2. Let l(h) be the third derivative of p(h). Find the second derivative of l(o) wrt o.
30*o
Let n(j) be the first derivative of -j**7/168 + j**6/72 - 2*j**3/3 - 2. Let f(d) be the third derivative of n(d). What is the third derivative of f(s) wrt s?
-30
Let c(w) be the second derivative of -w**3/6 - 3*w**2/2 + 2*w. Let m be c(-9). What is the second derivative of 3*s**2 + 2*s**2 - m*s**2 + 3*s wrt s?
-2
Suppose -5*k = 5*x, -k + 4*x + 12 = -x. What is the second derivative of 1 - 1 - k*q + 3*q + 3*q**4 wrt q?
36*q**2
Let s(i) be the first derivative of -i**4/4 - 4*i**2 + 5. What is the second derivative of s(z) wrt z?
-6*z
Suppose 2*d - 4*d - 8 = 0. Let v = d - -6. What is the third derivative of -8*l**3 - 2*l**v + 5*l**3 + 3*l**2 wrt l?
-18
Let w(h) = h**3 - h**2 - h + 1. Let d(g) = 2*g**3 + 9*g**2 + 6*g - 6. Let m(k) = d(k) + 6*w(k). What is the third derivative of m(u) wrt u?
48
Differentiate -4 - 10*b + 1 + 6 + 3*b with respect to b.
-7
Suppose -4*t - 7 = -3*g - 2*t, 5*t - 5 = 3*g. Let o be 8/14*14/4. What is the third derivative of -4*i - i**g - 3*i**o + 4*i wrt i?
-60*i**2
Suppose -5*f = -4*x - 32, -f + 7*x = 4*x - 13. Let g = f + 0. What is the derivative of -c**4 + 0*c**4 + 4*c**g - 1 wrt c?
12*c**3
Suppose -3*d + 7 = -q - 4, 13 = -d - 3*q. Find the third derivative of k**2 + 5*k**3 - d*k**3 + 0*k + 0*k wrt k.
18
Let j(w) be the third derivative of -w**6/60 + 2*w**5/5 - 6*w**3 - w**2 + 1. What is the derivative of j(x) wrt x?
-6*x**2 + 48*x
What is the second derivative of 3*o - o + o + 3*o**3 + 9*o wrt o?
18*o
Let v(m) be the first derivative of -2*m**5 + 15*m**2/2 + 16. What is the second derivative of v(r) wrt r?
-120*r**2
Let t(u) = 24*u**4 - 24*u**2 + 11*u. Let p(k) = -5*k**4 + 5*k**2 - 2*k. Let z(g) = -11*p(g) - 2*t(g). What is the third derivative of z(n) wrt n?
168*n
What is the second derivative of 9*o - 3*o + 78*o**2 + 2*o**3 - 78*o**2 wrt o?
12*o
Let i(x) = 70*x - 71. Let a(k) = 47*k - 47. Let w(u) = -7*a(u) + 5*i(u). Differentiate w(d) with respect to d.
21
Let r(u) be the third derivative of -5*u**6/24 - 5*u**4/12 - 33*u**2. Find the second derivative of r(q) wrt q.
-150*q
Suppose 5*z - 10 = -0*z. Let t be 1 - (3 - 2 - z). Find the second derivative of 4*d**2 + 4*d - 2*d**t - d wrt d.
4
Suppose 4 = -3*n + 5*n. What is the first derivative of -n*v**3 - 3 + 9 + 3*v**3 + 1 wrt v?
3*v**2
Let q(g) be the first derivative of 2*g**5/5 - 5*g**3/3 - 9. What is the third derivative of q(y) wrt y?
48*y
Let n(u) be the second derivative of 0*u**2 + 1/6*u**4 + 3*u + 0*u**5 + 1/10*u**6 + 0 + 0*u**3. What is the third derivative of n(a) wrt a?
72*a
Let w be ((-2)/12)/(-3 + 2). Let q(p) be the third derivative of -w*p**3 + 1/24*p**4 + p**2 + 0*p + 0. What is the derivative of q(r) wrt r?
1
Suppose -3*g + 8 = g. Suppose -y + 3*y = 6. Find the third derivative of y*k**4 - g*k**4 - 2*k**2 + 4*k**2 wrt k.
24*k
Let k(q) be the first derivative of 1/2*q**4 + 0*q + 2*q**2 + 0*q**3 - 1. What is the second derivative of k(m) wrt m?
12*m
Let t be -2 + -5 + 0/4. Let n = t - -10. What is the derivative of j**3 - 5*j**n - 4*j**3 + 4*j**3 + 2 wrt j?
-12*j**2
What is the third derivative of -50*w**3 + 3*w**2 + 9*w - 11*w + 9*w wrt w?
-300
Let j = 2 - 0. Find the second derivative of 2*x**3 + 0*x**3 + 2*x + x**j - x**2 wrt x.
12*x
Let h(f) be the second derivative of -2*f**3 - f**2/2 + 2*f. What is the first derivative of h(d) wrt d?
-12
Let a(s) be the second derivative of 8*s**7/21 + s**4 - 6*s. What is the third derivative of a(g) wrt g?
960*g**2
Let n(g) = -7*g**3 - 8*g**2 + 5*g - 5. Let v(u) = -8*u**3 - 10*u**2 + 5*u - 6. Let p(c) = 6*n(c) - 5*v(c). What is the second derivative of p(k) wrt k?
-12*k + 4
Let c = -6 + 10. Suppose -2*y - c + 8 = 0. Differentiate 3*h**4 - 6*h**4 - y + h**4 wrt h.
-8*h**3
What is the second derivative of 0*y + y + 4*y + 4*y**3 wrt y?
24*y
Let b(s) be the third derivative of 9*s**4/8 + 9*s**3/2 - 12*s**2. Find the first derivative of b(f) wrt f.
27
Let n(v) = 10*v**2 + 15. Let x(j) = j + 6. Let z be x(-12). Let y(l) = -5*l**2 - 7. Let o(c) = z*n(c) - 13*y(c). Differentiate o(m) with respect to m.
10*m
Let v(n) be the second derivative of -n**6/180 - n**5/30 + n**4/4 - 4*n. Let r(c) be the third derivative of v(c). What is the derivative of r(q) wrt q?
-4
Let z(y) be the second derivative of -7*y**5/20 + 4*y**3/3 + 3*y. What is the second derivative of z(b) wrt b?
-42*b
Suppose -4*x + 0*x = 0. What is the second derivative of -2*w + x*w + 2*w**3 - w wrt w?
12*w
Let s(g) be the third derivative of 0*g**4 + 0 - 1/6*g**3 + 0*g**5 - 1/20*g**6 - 4*g**2 + 0*g. What is the first derivative of s(v) wrt v?
-18*v**2
Suppose 2*q - 10 = -4. Find the first derivative of -2 + q - 3*z**4 + 6*z**4 wrt z.
12*z**3
Let f be (-24)/(-5) + (-2)/(-10). Suppose f*u - 5 - 10 = 0. Differentiate -w**4 + 3 - 3 - u with respect to w.
-4*w**3
Let m(a) be the first derivative of 19*a**5/5 + 17*a**2 - 7. What is the second derivative of m(x) wrt x?
228*x**2
What is the second derivative of -5*g**3 + 8*g + 4*g**3 + 4*g**3 wrt g?
18*g
Let w be (7/(-21))/((-4)/3). Let i(x) be the second derivative of 0*x**3 + w*x**4 + 0 - 2*x + 0*x**2 + 1/10*x**5. Find the third derivative of i(b) wrt b.
12
Let q = -25 - -45. Suppose -o = -3*o + 2*b + q, o + 14 = -5*b. What is the third derivative of 2*m**2 - m**o - 3*m**2 + 3*m**6 wrt m?
240*m**3
Suppose -44 = 4*j + 5*g, g = -g - 8. Let x = -4 - j. What is the third derivative of 2*k**2 + 2*k**2 + 2*k**4 - 2*k**x wrt k?
48*k
Suppose -49 = -2*b - 3*p, -b + 4*p + 10 - 2 = 0. Suppose -3*d = 2*d - 5*g - b, -d - 3*g = 0. Find the second derivative of -z**3 + 2*z**d + z + 0*z**3 wrt z.
6*z
Let i(m) be the third derivative of -m**8/840 - m**5/40 - m**3/2 + 3*m**2. Let z(k) be the first derivative of i(k). Find the second derivative of z(v) wrt v.
-24*v**2
Let o(k) = k**4 + 8*k**3 - 2*k**2 - 13*k - 7. Let c(g) = -4*g**3 + g**2 + 7*g + 3. Let j(b) = 7*c(b) + 3*o(b). What is the third derivative of j(d) wrt d?
72*d - 24
Let v(t) = t + 14. Let n be v(-12). What is the third derivative of 0*y**2 - 2*y**2 - n*y**4 + 0*y**2 + 6*y**4 wrt y?
96*y
Let b = -5 + 10. Find the third derivative of 2*z**6 + b*z**6 + 2*z**2 - 3*z**2 - 3*z**2 wrt z.
840*z**3
Let g(i) be the first derivative of -7*i**2/2 - 5*i - 6. Find the first derivative of g(f) wrt f.
-7
Suppose 2*q = -4, -4 = 4*v - 2*v + 2*q. Suppose -2*a = -7*a + 20. What is the first derivative of -5*f**a + 1 + v + 6*f**4 wrt f?
4*f**3
Let k(u) be the second derivative of u**7/2 + 2*u**4/3 + 12*u. Find the third derivative of k(y) wrt y.
1260*y**2
Suppose a + 0*u - 2*u = 0, 3 = 2*a - u. What is the third derivative of -3*k**2 + k**3 + 0*k**3 + k**2 - 6*k**a wrt k?
6
Find the third derivative of 72*k**2 + 20*k**3 - 47*k**2 + 26*k**2 wrt k.
120
Let a(f) be the third derivative of f**7/70 + f**4/24 - 4*f**2. What is the second derivative of a(t) wrt t?
36*t**2
Let q(g) = -8*g**4 - 5*g**3 + 3*g**2 + 5. Let k(w) = w**4 + 4 - 5 + 2*w**2 + w**3 - 3*w**2. Let f(b) = 5*k(b) + q(b). Find the third derivative of f(m) wrt m.
-72*m
Let c be 3/12 + 31/4. What is the second derivative of n**4 + 2*n**4 + n - c*n wrt n?
36*n**2
Let y(q) = q**2 - 19*q - 6. Let p(f) = -3*f**2 + 56*f + 17. Let n(j) = 6*p(j) + 17*y(j). Find the second derivative of n(m) wrt m.
-2
Let g = 14 + -11. What is the second derivative of -2*s**2 + g*s + 2*s + 0*s - s wrt s?
-4
Let t(x) be the third derivative of -1/12*x**4 + 0*x**5 - 1/168*x**8 + 0*x**7 + 3*x**2 + 0*x**3 + 0*x + 0*x**6 + 0. What is the second derivative of t(b) wrt b?
-40*b**3
Suppose 2*j = -3*g + 7, 6 = 3*g - 5*g - 4*j. Let r = -1 + g. What is the third derivative of -5*n**2 + 2*n**2 + n**2 - n**r wrt n?
-24*n
Let p be (25/2 - -3)*2. Find the second derivative of -3*i + 31*i**2 - p*i**2 + 3*i**4 wrt i.
36*i**2
Let b(r) = -r**3 + r - 1. Let i(p) = -7*p**3 + p - 8. Let k(x) = b(x) -